due to the errors in the measurement of d and l are the same.

due to the error in the measurement of d is twice that due to the error in the measurement of l

due to the error in the measurement of l is twice that due to the error in the measurement of d

due to the error in the measurement of d is four times that due to the error in the measurement of l

∆L = 0.1, ∆T = 0.05, n = 50

∆L = 0.5, ∆T = 0.01, n = 20

JEE Questions for Physics Units And Measurements Quiz 3

Physics-Units and Measurements-93116.png

0%
due to the errors in the measurement of d and l are the same.
0%
due to the error in the measurement of d is twice that due to the error in the measurement of l
0%
due to the error in the measurement of l is twice that due to the error in the measurement of d
0%
due to the error in the measurement of d is four times that due to the error in the measurement of l

The mass and volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05 m³ respectively. Then, the maximum possible percentage error in its density is

0%
6%
0%
3%
0%
10%
0%
5%
0%
7%

Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and / or record time for different number of oscillations. The observations are shown in the table.
Least count for length = 0.1 cm.
Least count for time = 0.1s.
Physics-Units and Measurements-93119.png

Physics-Units and Measurements-93119.png

0%
EI = 0
0%
EI is minimum
0%
EI = EII
0%
EII is maximum

If voltage V = (100 ± 5 ) V and current I = ( 10 ± 0.2 ) A, the percentage error in resistance R is

0%
5.2%
0%
25%
0%
7%
0%
10%

A student performs an experiment to determine the Young's modules of a wire, exactly 2 m long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainly of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainly of ± 0.01 mm. Take, g= 9.8 ms^-2 (exact). The Young's modulus obtained from the reading is

0%
( 2 ± 0.3 ) × 1011 Nm-2
0%
( 2 ± 0.2 ) × 1011 Nm-2
0%
( 2 ± 0.1 ) × 1011 Nm-2
0%
( 2 ± 0.05 ) × 1011 Nm-2

Physics-Units and Measurements-93123.png

0%
∆L = 0.5, ∆T = 0.1, n = 20
0%
∆L = 0.5, ∆T = 0.1, n = 50
0%
∆L = 0.5, ∆T = 0.01, n = 20
0%
∆L = 0.1, ∆T = 0.05, n = 50

The circular scale of a screw gauge has 50 divisions and pitch of 0.5 mm. Find the diameter of sphere. Main scale reading is 2.
Physics-Units and Measurements-93125.png

Physics-Units and Measurements-93125.png

0%
1.2 mm
0%
1.25 mm
0%
2.20 mm
0%
2.25 mm

A physical quantity is given by X = [ M^a L^b T^c ] . The percentage error in measurement of M, L and T are α, β and γ respectively. Then, the maximum % error in the quantity X is

0%
aα + bβ + cγ
0%
aα + bβ - cγ
0%
0%
None of these

Let [ε₀ ] denotes the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then

0%
[ε0 ] =[M-1 L-3 T2 A]
0%
[ε0 ] = [M-1 L-3 T4 A2]
0%
[ε0 ] = [M-2 L2 T-1 A-2]
0%
[ε0 ] = [M-1 L2 T-1 A2]

The frequency f of vibration of mass m suspended from a spring of spring constant k is given by f = cm^x k^y where, c is dimensionless constant. The values of x and y are respectively

0%
1/2, 1/2
0%
–1/2, 1/2
0%
1/2, –1/2
0%
–1/2, –1/2

Which of the following sets of quantities have same dimensional formula?

0%
Frequency, angular frequency and angular momentum
0%
Surface tension, stress and spring constant
0%
Acceleration, momentum and retardation
0%
Thermal capacity, specific heat and entropy
0%
Work, energy and torque

What is dimensional formula of thermal conductivity?

0%
[MLT -1 θ -1 ]
0%
[MLT -3 θ -1 ]
0%
[M 2LT -3 θ -2 ]
0%
[ML 2T -2 θ]

Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant?

0%
Acceleration due to gravity
0%
Surface tension of water
0%
Weight of a standard kilogram mass
0%
The velocity of light in vacuum

Names of units of some physical quantities are given in List I and their dimensional formulae are given in List II. Match the correct pairs in the lists
Physics-Units and Measurements-93133.png

Physics-Units and Measurements-93133.png

0%
A=4, B=3, C=1, D=2
0%
A=3, B=2, C=4, D=1
0%
A=3, B=1, C=4, D=2
0%
A=3, B=4, C=1, D=2

Physics-Units and Measurements-93135.png

0%
[M2LT -3 ]
0%
[MT -2 ]
0%
[LT -3 ]
0%
[ML3T -1 ]

Fission of uranium by slow neutrons is used in

0%
Rocket propulsion
0%
Particle accelerator
0%
Electric generator
0%
Nuclear reactor

The dimensional formula of propagation vector (K) is

0%
0%
2)
0%
0%

The dimensions of pressure gradient are

0%
0%
2)
0%
0%

If the unit of force is 1 kilonewton, the length is 1 Km and time is 100 seconds, what will be the unit of mass?

0%
1000 Kg
0%
1Kg
0%
10000 Kg
0%
100 Kg.

The dimensions of intensity are

0%
0%
2)
0%
0%

When magnetic flux in an electric circuit changes, e.m.f. V induced in the circuit is given by V=dφ/dt.The dimensions of magnetic flux are

0%
0%
2)
0%
0%

The time of oscillation T of a small drop of liquid depends on radius r, density p and surface tension S. The relation between them is given by

0%
0%
2)
0%
0%

If T denotes the surface tension and R, the radius of a capillary tube, then the dimensions of T/R are the same as that of

0%
pressure
0%
energy
0%
force
0%
None of these

If the units of length and force are increased four times each, the unit of energy is increased

0%
4 times
0%
16 times
0%
8 times
0%
no increase

The critical velocity Vc of a body depends on the coefficient of viscosity η, the density ρ and radius of drop r. Then the expression for V_c is

0%
0%
2)
0%
0%

The dimensional formula for relative refractive index is

0%
0%
2)
0%
0%

The dimensions of electrical conductivity are

0%
0%
2)
0%
0%

If L and R denote inductance and resistance respectively, then the dimensions of L/R are.

0%
0%
2)
0%
0%

Physics-Units and Measurements-93184.png

0%
0%
2)
0%
0%

The intensity of a wave is defined as the energy transmitted per unit area per second. Which of the following represents the dimensional formula for the intensity of the wave?