1
###
The density of a material in the shape of a cube is determined

**The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:**

- 3.5%
- 4.5%
- 6%
- 2.5%

2
###
Which represents the correct dimensions of the coefficient of viscosity

Which one of the following represents the correct dimensions of the coefficient of viscosity?

- ML
^{-2}T^{-2} - MLT
^{-1} - ML
^{-1}T^{-1} - ML
^{-1}T^{-2}

3
###
Dimensions of 1/μoεo, where symbols have their usual meaning

Dimensions of 1/μ_{o}ε_{o}, where symbols have their usual meaning, are

- [L
^{2}T^{–2}] - [LT
^{–1}] - [L
^{–2}T^{2}] - [L
^{–1}T]

4
###
Which units denotes the dimensions ML^2/Q^2

Which of the following units denotes the dimensions ML^{2}/Q^{2}, where Q denotes the electric charge?

- weber (Wb)
- H/m
^{2} - Wb/m
^{2} - henry (H)

5
###
The physical quantities not having same dimensions are

The physical quantities not having same dimensions are

- torque and work
- stress and Young's modulus
- speed and (μ
_{0}ε_{0})^{–1/2} - momentum and Planck's constant

6
###
Identify the pair whose dimensions are equal

Identify the pair whose dimensions are equal

- force and work
- torque and work
- stress and energy
- force and stress

7
###
The dimension of magnetic field in M, L, T and C

The dimension of magnetic field in M, L, T and C (coulomb) is given as

- MT
^{–1}C^{–1} - MLT
^{–1}C^{–1} - MT
^{2}C^{–2} - MT
^{–2}C^{–1}

8
###
The velocity of a particle depends upon t as V = A + Bt + ct^2

The velocity of a particle depends upon t as V = A + Bt + ct^{2}. If velocity is in m/s, the unit of A will be

- m/s
- m/s
^{2} - m.s
- m
^{2}/s

9
###
Which of the following pairs does not have the same dimensions

Which of the following pairs does not have the same dimensions?

- frequency and angular frequency
- angular velocity and velocity gradient
- velocity gradient and angular frequency
- angular frequency and potential energy gradient