Physical World, Units and Measurements

Natural sciences does not include

(a) Physics                 (b) Chemistry              (c) Biology                 (d) Social Science

Principal thrusts in Physics are

(a) Unification           (b) Reduction              (c) Both (a)and (b)     (d) None of the above

Attempt to explain diverse physical phenomenon in terms of a few concepts and laws is called

(a) Unification           (b) Reduction              (c) Fusion                   (d) All of the above

Classical Physics mainly deals with

(a) Microscopic phenomenon                       (b) Macroscopic phenomenon

(c) Atomic phenomenon                                (d) Heisenberg’s uncertainty principle

Among the following, choose the incorrect statement

(a) The microscopic domain of physics deals with the constitution and structure of matter at the minute scales of atoms and nuclei

(b) Classical Physics deals mainly with macroscopic phenomena and includes subjects like Mechanics, Electrodynamics, Optics and Thermodynamics

(c) Both of the above                                                                           (d) None of the above

Phenomenon of neutron induced fission of uranimum, which serves as a basis of nuclear power reactors and nuclear weapons, was discovered by

(a) Hahn and Meitner                                    (b) Einstein

(c) Neils Bohr                                                  (d) Nicholas Tesla

Among the following, the scientists are matched with their major contribution or discovery. Which among the following is incorrectly matched?

A) Archimedes Principle of Buoyancy

B) Christiaan Huygens Wave Theory of  Light

C) JCBose X-rays

D) Albert Einstein Theory of Relativity

(a) A                            (b)B                               (c)C                              (d)D

Among the following scientists, the one who is credited for the contribution to theory of condensed matter is

(a) Ernest Orlando Lawrence                        (b) C-V. Raman

(c) Ernest Rutherford                                     (d) Lev Davidovich Landau

Full form of LASER is

(a) Light amplification by shorted extraction of rays

(b) Light amplification by stimulated emission of radiation

(c) Long absorption of silent extraction of radiation

(d) None of the above

Choose the incorrect statement among the following in relation to the electromagnetic waves.

(a) Electromagnetic force do not require intervening medium

(b) They act over large distances

(c) Electromagnetic force is weaker than the gravitational forces

(d) Etectromagnetc forces may be attractive or repulsive

Choose the correct option.

(1)A most precise measurement may be most accurate

(2) A   most   precise   measurement   will necessarily be most accurate

(3) A most precise measurement will be less accurate

(4) A most accurate measurement will necessarily be most precise

1 metre is the length of path travelled by light in vacuum during a time interval of of a second of a second of a second of a second

The kelvin is the fraction

Physical World, Units and Measurements

1″ (second of arc) in radian is (approximately)

The diameter of sun is m. The distance of sun from earth is m. The angular diameter of sun is

(1) 1290″                                                                (2) 9210″

(3) 2190′                                                                 (4) 1920″

The measured length of two rods are l1= 30 cm ± 0-5 cm and l2= 20 cm + 0.1 cm. The percentage error in difference of length of rods is

(1) 6%                           (2) 4%                               (3) 5%                              (4) 3%

Two resistors of resistances R1= 300 ± 3 ohm and R2 = 200 ± 2 ohm are connected in parallel. The equivalent resistance of parallel combination with error is

(1) [120 ± 1.8] ohm                                               (2) (120 ± 1]ohm

(3) [120 ±1.6] ohm                                                (4) [120 ±2.0] ohm

If percentage error in measurement of quantities A, B. C and D are 1 %, 2%. 3% and 4% respectively, then percentage error in measurement of is

(1) 5%                           (2) 4%                               (3) 6%                               (4) 8%

The number of insignificant zeros in 0.0048050

(1) 1                              (2)2                                   (3)3                                   (4)4

The value of with regards to significant figure is

(1)                   (2)                       (3)                     (4)

The value of gravitational constant is   Suppose we employ a new system of units in which unit of mass is u kg, the unit of length  m and the unit of time is s. The value of gravitational constant in terms of new units is

(1)                                                 (2)

(3)                                               (4)

In Cesium clock 1 second is the time in which cesium – 133 atom, vibrate between two hyperfine levels

(1) 9,292, 631, 770 times                                      (2) 9, 192, 361, 770 times

(3) 9, 192, 136, 770 times                                     (4) 9,192, 631,770 times

Least count error belongs to the category of

(1) Random error only

(2) Systematic error only

(3) Neither systematic error nor-random error

(4) Systematic and random error both

A student measures the period of oscillation of a simple pendulum in successive measurements, the reading turn out to be 1.93 s, 1.99 s, 2.06 s, 2.08 s and 1.95 s. A more accurate way to write the measurement with error is

(1) (2.00 ± 0.05) s          (2) (2.03 + 0.06) s           (3) (2.0 ± 0.06) s              (4) (2.03 ± 0.1) s

Each side of a cube is measured to be 6.372 m. The total surface area of cube with appropriate significant figures is

(1)              (2)                                         (3) 243.6 m2                     (4) 251.3207 m2

Choose the correct statement

(1) A dimensionally correct equation need not be an actually correct equation

(2) A dimensionally correct equation may be an actually correct equation

(3) A dimensionally incorrect equation may be correct                          (4) Both (i)and (2)

A famous relation in physics with many printing errors, relates the moving mass ‘m’ with rest mass for a moving object with speed v is printed as . The dimensional formula of n0 and b are respectively (c is speed of light)

(1)              (2)                (3)               (4)

Parsec is a unit of

(1) Distance                 (2) Velocity                     (3) Time                           (4) Angle

If the size of atom is in the range of 10–10m to 10–9 m is scaled up to the tip of sharp pin (assume tip of pin to be in the range of l0-6 to 10-5m), Roughly, size of nucleus is

(1) 0.1 A                       (2) 0.01 A                         (3) 0.001 A                       (4) 10 A

In a screw gauge, each main scale division is 1 mm and there are 200 divisions on the circular scale. The least count of screw gauge is

(1) 0.05 mm                    (2) 0.005 mm             (3) 0.05 cm                             (4) 0.005 cm

Angle is a

(a) fundamental quantity                            (b) derived quantity

(c) supplementary quantity                        (c) None of these

 

Parallax method is used for measurement of

(a) length                   (b) time                      (c) mass                                  (d) speed

1 astronomical unit (AU) is equal to

(a) 1.4961018m                                            (b) 1.4961015m

(c) 1.4961011m                                            (d)  1.496109m

Parsec is a unit for measurement of

(a) Time                     (b)  Length                 (c) Mass                                 (d) none of these

Light year is used to measure

(a) time                       (b) length                   (c) mass                                  (d) None of these

1atomic mass unit (1 amu) is equal to

a) 1.6610-27kg (b) 1.6610-24kg

(c) 1.6610-22kg                                            (d)  1.6610-23kg

0.002308 has significant figure

(a) 4                            (b) 6                            (c) 7                                         (d ) 3

Significant figure in 0.06900 are

 (a) 2                            (b) 3                            (c) 4                                         (d ) 5

Dimension of is (permittivity of free space, E- electric field)

(a) ML -1 T – 2             (b) ML2 T – 2               (c) ML -1 T – 1                          (d ) ML2 T – 1

Dimension of is (B magnetic field,)

(a) ML 2 T – 2              (b) ML-1 T – 1               (c) ML 2 T – 1                           (d ) ML-1 T – 2

Dimension of is

(a) [ML T – 2]             (b) M0 L1 T – 2             (c) M0 L 1 T – 1                         (d ) M 0L-1 T – 1

Dimension of is same as of, (is velocity, r radius, g-acceleration due to gravity)

(a) angle                    (b) acceleration         (c) length                               (d ) speed

Dimension of coefficient of viscosity is

(a) [ML2 T – 1]             (b) ML-1 T – 1               (c) MLT – 2                              (d ) M-1L-1 T – 1

Dimension of planck constant is

(a) [ML2 T – 2]             (b) [MLT – 2                (c) ML2 T – 1                            (d ) None of these

Dimension of strain is:.

(a) [M0L T0]               (b) [M0 L-1T0]             (c) [M1L0T0]                           (d) [M0L0T0]

Dimension of surface tension is

(a) [ML T-2]                (b) [ML0T-2]               (c) [ML0T-1]                           (d) [MLT-1]

Dimension of efficiency is

(a) [M0L T0]               (b) [M0 L-1T0]             (c) [M0L0T-0]                          (d) [M1L0T0]

Dimension of Li2 is

(a) [ML2 T-2]              (b) [M LT-2]               (c) [ML2T-1]                           (d) [ML-1T-2]

Dimension of Cv2

                (a) [ML2 T-2]              (b) [M LT-2]               (c) [ML2T-1]                           (d) [ML-1T-2]

Dimension of

(a) [MLT-2]                 (b) [ML2 T-2]              (c) [ML2T-1]                           (d ) [ML-1T-2]

A physical quantity P is related to four observables a,b,c and d as follows Ppercentage error in a,b,c,d are 1%,3%,4% and 2% respectively. Percentage error in quantity P is.

(a) 10%                       (b) 15%                       (c) 13%                                   (d) 8%

Area enclosed by a circle of diametric 1.06m is

(a) 0.88 2026 m2        (b) 0.882 m2               (c) 0.88 m2                              (d) none of these

A body travels uniformly a distance of (13.8± 0.2)m in time (4.0 ± 0.3) S. Percentage error in measurement of velocity is

(a) 9%                         (b) 7%                         (c) 5%                                     (d) 3%

One shake is equal to

(a) 108sec                   (b) 10-9sec                  (c) 10-8sec                               (d) 10-10sec

Ratio of SI to c.g.s units of KE is

(a) 106                         (b) 10-7                        (c) 107                                     (d) 108

Which of the following have same dimensions?

(a) specific heat

(b) Momentum and impulse

(c) Moment of inertia and angular momentum

(d) Tension and surface tension

The dimensions of magnetic moment are

(a) L2A-1                     (b) L2 A1                     (c) LA2                                    (d) L2A-3

The unit of reduction factor of tangent of galvanometer is

(a) gauss                    (b) tesla                      (c) radian                               (d) ampere

The dimensions of the gravitational constant G are

(a) [ML–1  T–1]            (b) [MLT2]                 (c) [M–1L3T–2]                        (d) [M2 L–1T2]

If L and R denote inductance and resistance respectively, which of the following dimensions of frequency?

(a)                           (b)                          (c)                                    (d)

The dimensional formula of magnetic flux is

(a) [M1L2T-2A-1]        (b) [M1L0T-2A-2]        (c) [M0L-2T-2A-2]                    (d) [M1L2T-1A3]

Which one of the following has the dimension of pressure?

(a)                       (b)                     (c)                                   (d)

Which of the following has metre Kelvin as the unit?

(a) Rydberg constant                                   (b) wein’s constant

(c) Solar constant                                          (d) gas constant

Dimension of are

(a) A-1                                     (b) A-2                         (c) A                                        (d) A2

The dimension of intensity are

(a) L0M1T-3                     (b) L1M2T-2                (c) L2M1T-2                            (d) M2L2T-3

The dimension of RC, R is resistance and C is capacitances are same as that of

(a) inverse time                                             (b) time

(c) square of time                                         (d ) square root of time

Which of the following is a dimensional constant?

(a) refractive index                                       (b) dielectric constant

(c) relative density                                       (d) gravitational constant

The length of a rod is (11.05 ± 0.05) cm. What is the total length of 2 such rods?

(a) (22.1 ± 0.05)cm                            (b) (22.10 ± 0.05)cm

(c) (22.100 ± 0.05)cm                         (d) (22.10 ± 0.10)cm

Which of the following quantity can be written in SI unit Kg m2 A-2 S-3

(a) Resistance                                                (b) Inductance

(c) Capacitance                                             (d) magnetic flux

The dimension of is same as that of

(a) Time                                 (b) Speed       (c) Inverse of time                (d) square of time

Unit of specific resistance is

1) ohm/m2                   2) ohm m3                   3) ohm – m                              4) ohm/m

Temperature can be expressed as derived quantity in terms of

1) Length and mass     2) mass and time         3) length, mass and time         4) none of these

Potential is measured in

1) joule/coulomb         2) watt/coulomb          3) newton-second                   4) none

The siemen is the SI unit of

1) Resistivity               2) Resistance               3) conductivity                 4) conductance

What is the unit of magnetic permeability?

1) Wb A-1 m-1       2) Wb-1 Am              3) Wb A m-1                           4) Wb A-1 m

The SI unit of coefficient of mutual inductance of a coil is

1) henry               2) volt                   3) farad                           4) weber

Surface tension of a liquid is 70 dyne/cm. Its value in SI is

1) 70 N/m                    2) 7 x 10-2 N/m          3) 7 x 102 N/m                        4) 7 X 103 N/m

Joule – second is a unit of

1) energy               2) torque               3) power                                  4) angular momentum

The unit of the Stefan-Boltzmann’s constant is

1) W/m2K4            2) W/m2                3) W/m2K                       4) W/m2K2

Young’s modulus of steel is 1.9 x 1011 N/m2. When expressed in CGS units of dyne/cm2, it will be equal to (1N = 105 dyne, 1 m2 = 104 cm2)

1) 1.9×1010             2) 1.9 x 1011                    3) 1.9×1012                      4) 1.9×1013

Which one of the following pairs of quantities and their units is a proper match?

1) Impulse – N/sec      2) Magnetic flux – weber       3) Power – farad         4) Capacitance – henry

The numerical values of young’s modulus in S.I. unit is .What is its numerical value in cgs system?

1)                             2)10                         3) /10                                   4) 100

In the eqn. = constant, the unit of a is

1) Dyne  cm5            2) dyne  cm4             3) dyne/cm3                             4) dyne  cm2

In C.G.S. system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are in kilogram, metre and minute, the magnitude of the force is

1) 0.036                       2) 0.36                         3) 3.6                                       4) 36

If e is the charge, V the potential difference, T the temperature, then the units of are the same as that             of

1) Planck’s constant   2) Stefan’s constant    3) Boltzmann’s constant     4) gravitational constant

In equation, r = m2 sint, where t represents time, If the unit of m is N. Then the unit of r is

1) N                             2) N2                           3) Ns                                       4) N2s

 

If, where x is the distance travelled by the body in kilometres while T is the time in seconds, then the unit of B is

1) km/s                        2) kms                         3) km/s2                                   4) kms2

Which of the following quantities has not been expressed in proper unit?

torque : newton metre

stress : newton metre-2

modulus of elasticity : newton metre-2

surface tension : newton metre-2

If unit of length and force are increased 4 times. The unit of energy

1) is increased by 4 times                              2) is increased by 16 times

3) is increased by 8 times                              4) remains unchanged

The density of a material in CGS system is 8 g / cm3. In a system of a unit in which unit of length is 5 cm and unit of mass is 20 g, the density of material is

1) 8                              2) 20                            3) 50                                        4) 80

The random errors can be reduced by

1) Taking more number of observation

2) eliminating the error

not taking more care

4) None of these

Error in the measurement of radius of a sphere is 1%. Then error in the measurement of volume is

1) 1%                        2) 5%                             3) 3%                                       4) 8%

If x = a – b, then the maximum percentage error in the measurement of x will be

1) 2) 3)        4)

Number of significant figures in expression is

1) 2                              2) 4                              3) 3                                          4) 5

If the percentage errors of A, B and C are a, b and c respectively, then the total percentage error in the product ABC is

1) abc                          2) a + b + c                 3)                             4)

The maximum error in the measurement of mass and density of a cube are 3% and 1% respectively. The maximum error in the measurement of volume will be

1) 1%                         2) 2%                          3) 3%                                      4) 4%

The value of resistance is 10.845 and the value of current is 3.23 A. The potential difference is 35.02935 volt. Its value in significant number would be

1) 35 V                        2) 35.0 V                     3) 35.03 V                              4) 35.029 V

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms-1 . The magnitude of its momentum is recorded as

1) 17.6 kg ms-1           2) 17.565 kg ms-1       3) 17.56 kg ms-1                     4) 17.57 kg ms-1

What is the fractional error in g calculated from ? Given fraction errors in T and are x and y respectively.

1) x + y                       2) x – y                        3) 2x + y                                  4) 2x – y

The dimensions of a rectangular block measured with callipers having least count of 0.01 cm are 5 mm x 10 mm x5 mm. The maximum percentage error in the measurement of the volume of the block is

1) 5%                          2) 10%                        3) 15%                                    4) 20%

The length of one rod = 3.323 cm and the other is  = 3.321 cm. Both rods were measured with one measuring instrument with least count 0.001 cm then  is

1) (0.002 0.001) cm    2) (0.002 0.000) cm    3) (0.002 0.002) cm                4) None of these

Relative density of a metal may be found with the help of spring balance. In air the spring balance reads (5.00 ± 0.05) N and in water it reads (4.00 ± 0.05) N. Then, the relative density along with the maximum permissible percentage error is

1) (5.00 ± 0.05)N       2) (5.00 ± 11%)           3) (5.00 ± 0.10)                       4) (5.00 ± 6%)

A physical quantity X is represented by X = (Mx L-y T-z). The maximum percentage errors in the measurement of M, L and T respectively are a%, b% and c%. The maximum percentage error in the measurement of X will be

1) (ax + by – cz)%       2) (ax – by – cz)%        3) (ax + by + cz)%                  4) (ax – by + cz)%

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error, in kinetic energy obtained by measuring mass and speed, will be

1) 12 %                      2) 10 %                       3) 8 %                                     4) 2 %

The least count of a stop watch is1/5 s. The time of 20 5 oscillations of a pendulum is measured to be 25 s. What is the maximum percentage error in this measurement?

1) 8 %                         2) 1 %                         3) 0.8 %                                  4) 16 %

The internal and external diameter of a hollow cylinder are measured with the help of vernier callipers. Their values are 4.23 ± 0.01 cm and 3.87 ± 0.01 cm respectively. The thickness of the wall of the cylinder is

1) 0.36 ± 0.02 cm        2) 0.18 ± 0.02 cm        3) 0.36 ± 0.01 cm                    4) 0.18 ± 0.01 cm

The diameter of a sphere is measured with an instrument having least count 0.001 cm. The diameter is 1.933 cm. The radius to correct significant figures will be

1) 0.965 cm                2) 0.966 cm                 3) 0.967 cm                             4) None of these

A physical quantity is given by X = Ma Lb Tc. The percentage error in measurement of M, L and T are ,             and respectively. Then maximum percentage error in the quantity X is

1) a + b + c                 2) a + b -c                    3) a b 2                                    4) None of these

In a simple pendulum experiment for the determination of acceleration due to gravity, time period is measured with an accuracy of 0.1% while length was measured with an accuracy of 0.3%. The percentage accuracy in the value of g so obtained is

1) 0.8%                       2) 0.7%                       3) 0.5%                                   4) 0.6%

The relative error in the determination of the surface area of a sphere is . Then the relative error in the determination of its volume is

1)                          2)                          3)                                      4)

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be

1) 7%                          2) 9%                          3) 12%                                    4) 13%

The refractive index of water measured by the relation is found to have values of 1.34, 1.3 8, – apparent depth 1.32 and 1.36; the mean value of refractive index with percentage error is

1) 1.35 ± 1.48 %         2) 1.35 ± 0 %              3) 1.36 ± 6 %                          4) 1.36 ± 0 %

A wire has a mass 0.3 ± 0.003 g, radius 0.5 ± 0.005 mm and length 6 ± 0.06 cm. The maximum percentage error in the measurement of its density is

1) 1                              2) 2                              3) 3                                          4) 4

The pressure on a square plate is measured by measuring the force on the plate and length of the sides of the plate by F using the formula . If the maximum errors in the 2 measurement of force and length are 4% and 2% respectively, then the maximum error in the measurement of pressure is

1) 1%                         2) 2%                          3) 8%                                      4) 10%

A thin copper wire of length metre increases in length by 2% when heated through 10°C. What is the             percentage increase in area when a square copper sheet of length  metre is heated through 10°C?

1) 4%                          2) 8%                          3) 16%                                    4) 12%

Intensity observed in an interference pattern is at intensity. Find percentage error in angle, if = 20 W/m2.

1)           2)           3)                       4)

If, then the relative error in f is

1)                         2)                     3)                                      4)

Mass of a body is 210 gm and its density is 7.981 g/cm3 what will be its volume, with regard to significant digits?

1) 26.312 cm3              2) 26 cm3                     3) 27 cm3                                 4) 26.3cm3

Which of the following set have different dimensions?

(1) Pressure, Young’s modulus, Stress                       (2) EMF, Potential difference, Electric potential

(3) Heat, Work done, Energy                         (4) Dipole moment, Electric flux, Magnetic field

Which of the following is a dimensional constant?

(1) Refractive index    (2) Dielectric constant  (3) Relative density   (4) Gravitational constant

Let Q denote the charge on the plate of a capacitor of capacitance C. The dimensional formula for is

1)                2)                  3)                4)

Dimensions of ‘resistance’ are same as (where h is Planck’s constant and e is charge)

1) h/e                           2) h2/e                          3) h/e2                          4) h2/ e2

The Solar constant is defined as the energy incident per unit area per second. The dimensional formula for solar constant is

1)               2)                3)                4)

The dimensions of physical quantity X in the equation Forceis given by

1)                2)             3)             4)

Which of the following units denotes the dimension where Q denotes the electric charge?

1) Wb/m2                     2) Henry (H)               (3) H/m2                     (4) Weber (W2)

56. Which of the following has the same dimensions?

(1) Impulse and momentum                            (2) Specific heat and latent heat

(3) Moment of inertia and force                     (4) Thrust and surface tension

57. The dimensions of voltage in terms of mass (M), length (L) and time (T) and ampere (1) are

1)           2)            3)            4)

If L denotes the inductance of an inductor through which a current i is flowing, the dimensions ofare

1)               2)                3)              4) not expressible in M, L, T

The displacement of a body at a particular second n is given by the expression. The dimensional formula of in this equation is

1)                2)                3)              4)

In the equationV = volume, P = pressure, R = universal gas constant, and T = temperature. The dimensional formula of a is same as that of

(1) V                            (2) P                            (3) T                            (4) R

Time (T), velocity (3) and linear momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:

1)          2)     3) 4)

Suppose the kinetic energy of a body oscillating with amplitude A and at a distance x is given by the dimensions of B are the same as that of

(1) work/time              (2) work × distance     (3) work/distance        (4) work × time

The dimensions of universal gas constant are

1) 2) 3) 4)

The volume V of water passing any point of a uniform tube during t seconds is related to the cross – sectional area A of the tube and velocity u of water by the relation. Which one of the following will be true?

1)                2)                3)                4)

Given that where p is pressure, z is distance, KB is Boltzmann constant and  is temperature, the dimensions of  are

1)               2)              3)               4)

The position x of a particle at time t is given by, where is constant and a > 0. The dimensions of  and are

1)      2)       3)   4)

Given as : h = where S is the surface tension of liquid, r is the radius of capillary tube, is density and g is acceleration due to gravity then dimensional formula for S is:

1)                2)               3)                4)

The velocity v of a particle at time t is given by The dimensions of a, b c are respectively

1)          2) 3) 4)

In the equation X = 3YZ2, X and Z are dimensions of capacitance and magnetic induction respectively. In MKSQ system, the dimensional formula for Y is

1)     2)                    3)        4)

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type, where c is a dimensionless constant. The values of x and y are

1)            2)       3)          4)

 

A student measured the diameter of a small steel ball using a screw gauge of least count 0.001cm. The main scale reading is 5mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004cm, the correct diameter of the ball is

1) 0.521cm                  2) 0.525cm                  3) 0.529cm                  4) 0.053 cm

A physical quantity of the dimensions of length that can be formed out of c, G and is (c is velocity of light, G is universal constant of gravitation and e is charge)

1)         2)         3)                 4)

If dimensions of critical velocity of a liquid flowing through a tube are expressed as where ,and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by

1) -1,-1,1                     2) -1,-1,-1                    3) 1,1,1                        4) 1,-1,-1

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities the dimensional formula of surface tension will be

1)               2)              3)            4)

If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are :

1)                2)                3)             4)

In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where will be:

(1)                   (2) 16%                       (3) –10%                     (4) 10%

The main scale of a vernier calliper has n divisions/cm. n divisions of the vernier scale coincide with (n –1) divisions of main scale. The least count of the vernier calliper is,

1)     2)                        3)                       4)

The angle of 1′ (minute of arc) in radian is nearly equal to

(1) 2.91 × 10–4 rad         (2) 4.85 × 10–4 rad      (3) 4.80 × 10–6 rad      (4) 1.75 × 10–2 rad

Time intervals measured by a clock give the following readings:

1.25 s, 1.24 s, 1.27 s, 1.21 s and 1.28 s.

What is the percentage relative error of the observations?

(1) 2 %                           (2) 4 %                                    (3) 16 %                      (4) 1.6 %

Dimensions of stress are:

1)                 2)                     3)                    4)

Taking into account of the significant figures, what is the value if 9.99m – 0.0099m?

1) 9.9 m                           2) 9.9801m                      3) 9.98m                        4) 9.980m

If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1)               2)                3)                     4)

A screw gauge gives the following readings when used to measure the diameter of a wire
Main scale reading: 0 nm
Circular scale reading: 52 divisions
given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is

1) 0.026 cm                 2) 0.26 cm                   3) 0.052 cm                 4) 0.52 cm

If E and G respectively denote energy and gravitational constant, then has the dimensions of:

2.                  3.       4.

The dimensions belong to the:

1) Magnetic flux                                             2) Self inductance

3) Magnetic permeability                               4) Electric permittivity

Plane angle and solid angle have:

1) Units but no dimensions                             2) Dimensions but no units

3) No units and no dimensions                       4) Both units and dimensions

The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding ff the value for correct significant digits is:

(1)               (2)                      (3)                   (4)

Match List-I with List-II

List-I                                                               List-II

a) Gravitational constant (G) (i)

b) Gravitational Potential energy                   (ii)

c) Gravitational Potential (iii)

d) Gravitational intensity (iv)

 

Choose the correct answer from the options given below

a          b          c          d

1)         ii          i           iv         iii

2)         ii          iv         i           iii

3)         ii          iv         iii         i

4)         iv         ii          i           iii

CHAPTER NOTES

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