Units and Measurements

Match List - I with List - II Choose the correct answer from the options given below :

1. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
2. (A)-(I), (B)-(IV), (C)-(II), (D)-(III)
3. (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
4. (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

If B is magnetic field and 0 is permeability of free space, then the dimensions of (B/ 0) is

1. MT-2A-1
2. L-1A
3. ML2T-2A-1
4. LT-2A-1

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below.

1. Both Statement I and Statement II are false
2. Statement I is true but Statement II is false
3. Both Statement I and Statement II are true
4. Statement I is false but Statement II is true

Which one of the following is the correct dimensional formula for the capacitance in F ? M, L, T and C stand for unit of mass, length, time and charge respectively.

1. [F]= [ C M-1L-2T2 ]
2. [F]= [ C2M-2L2T2 ]
3. [F]= [ C2M-1L-2T2 ]
4. [F]= [ C M-2L-2T-2 ]

The maximum percentage error in the measurement of density of a wire is [Given, mass of wire =(0.60 0.003) g radius of wire =(0.50 0.01) cm length of wire =(10.00 0.05) cm]

1. 7
2. 8
3. 5
4. 4

The dimensional formula of latent heat is :

1. [ M0LT-2]
2. [ MLT-2]
3. [ M0L2T-2]
4. [ ML2T-2]

One main scale division of a vernier caliper is equal to m units. If nth division of main scale coincides with (n + 1)th division of vernier scale, the least count of the vernier caliper is :

1. 1(n + 1)
2. m(n + 1)
3. n(n + 1)
4. mn(n + 1)

The de-Broglie wavelength associated with a particle of mass m and energy E is h/ 2mE. The dimensional formula for Planck's constant is :

1. [ M2 L2 T-2 ]
2. [ ML-1 T-2 ]
3. [ ML2 T-1 ]
4. [ MLT-2 ]

In an expression a 10b :

1. a is order of magnitude for b 5
2. b is order of magnitude for a 5
3. b is order of magnitude for a 5
4. b is order of magnitude for 5 < a 10

Young's modulus is determined by the equation given by Y = 49000 Ml dynecm2 where M is the mass and l is the extension of wire used in the experiment. Now error in Young modulus (Y) is estimated by taking data from M–l plot in graph paper. The smallest scale divisions are 5 g and 0.02 cm along load axis and extension axis respectively. If the value of M and l are 500 g and 2 cm respectively then percentage error of Y is :

1. 2%
2. 0.02%
3. 0.5%
4. 0.2%