1. The dimensions of magnetic field in M, L, T and C (coulomb) is given as
A. [ML[latex]T^{-1}[/latex] [latex]C^{-1}[/latex] ]
B. [M[latex]T^{2}[/latex] [latex]C^{-2}[/latex] ]
C. [M[latex]T^{-1}[/latex] [latex]C^{-1}[/latex] ]
D. [ML[latex]T^{2}[/latex] [latex]C^{-1}[/latex] ]
Answer: Option C
2. If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency?
A. [latex]\frac{1}{RC}[/latex]
B. [latex]\frac{R}{L}[/latex]
C. 1[latex]\sqrt {LC}[/latex]
D. [latex]\frac{C}{L}[/latex]
Answer: Option D
3. Light year is a unit of
A. time
B. distance
C. sunlight intensity
D. mass
Answer: Option B
electric field) are
4. A cube has a side of length 1.2 × [latex]10^{-2}[/latex] m. Calculate its volume
A. 1.7 × [latex]10^{-6}[/latex][latex]m^{3}[/latex]
B. 1.73 [latex]10^{-6}[/latex][latex]m^{3}[/latex]
C. 1.70 [latex]10^{-6}[/latex][latex]m^{3}[/latex]
D. 1.732 × [latex]10^{-6}[/latex][latex]m^{3}[/latex]
Answer: Option A
5. Let [latex]{ϵ}_{0}[/latex] denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:
A. [latex]{ϵ}_{0}[/latex] = [[latex]M^{-1}[/latex] [latex]L^{-3}[/latex] [latex]T^{2}[/latex] A ]
B. [latex]{ϵ}_{0}[/latex] = [[latex]M^{-1}[/latex] [latex]L^{-3}[/latex] [latex]T^{4}[/latex] [latex]A^{2}[/latex] ]
C. [latex]{ϵ}_{0}[/latex] = [[latex]M^{1}[/latex] [latex]L^{2}[/latex] [latex]T^{1}[/latex] [latex]A^{2}[/latex] ]
D. [latex]{ϵ}_{0}[/latex] = [[latex]M^{1}[/latex] [latex]L^{2}[/latex] [latex]T^{1}[/latex] A ]
Answer: Option B
6. If length of pendulum is increased by 2%. The time period will
A. Increases by 1%
B. Decreases by 1%
C. Increases by 2%
D. Decreases by 2%
Answer: Option A
7. Which of the following pairs has the same dimensions?
A. Specific Heat and Latent Heat
B. Impulse and Momentum
C. Surface Tension and Force
D. Moment of Inertia and Torque
Answer: Option B
8. Which of the following is a possible dimensionless quantity?
A. Velocity gradient
B. Pressure gradient
C. Displacement gradient
D. Force gradient
Answer: Option C
9. The dimensional formula of couple
A. [M [latex]L^{-2}[/latex] [latex]T^{-2}[/latex] A ]
B. [M L [latex]T^{-1}[/latex] ]
C. [[latex]{M}_{1}[/latex] [latex]{L}_{1}[/latex] [latex]T^{-1}[/latex]]
D. [[latex]{M}_{1}[/latex] [latex]{L}_{1}[/latex] [latex]T^{-1}[/latex]]
Answer: Option A
0. On the basis of dimensional equation, the maximum number of unknown that can be found, is
A. one
B. two
C. three
D. four
Answer: Option C