Here is 10 question Answer based on dimension of physical quantity
(a) [M0LT-1]
(b) [M 0L -1T0]
(c) [M 1L -1T0]
(d) [M -1L -1T0]
Ans(b)
2. 2. The position of a particle at time t is given by the relation x(t) = V0(1-e-at)/a
Where V0 is a constant and a >0. The dimension of V0 and a are respectively
(a) [M 0L 1T0] and T-1
(b) [M 0L 1T-1] and T
(c) [M 0L 1T-1] and T-1
(d) [M 0L 1T-1] and LT-2
Ans: (c)
3 The dimensions of pressure gradient are
(a) ML-2T-2
(b) ML-2T-1
(c) ML-1T-1
(d) ML-1T-2
Ans: (a)
4. Which of the following equations is dimensional correct?
(a) Pressure = energy per unit volume
(b) Pressure = energy per unit area
(c) Pressure = force per unit volume
(d) Pressure = momentum per unit volume
Ans:(a)
5. The dimensions of electromotive force in terms of current A are:
(a) ML-2A-2
(b) ML 2T-2A2
(c) ML2A-2T-2
(d) ML2 T -3A-2
Ans (d)
6. If C and R denote capacity and resistance, the dimensions of CR are
(a) M0L0T1
(b) M1L0T2
(c) M-1L-1T0
(d) M0L0T0
Ans(a)
7. The dimensional formula of wave number is :
(a)
M0L0T-1
(b)
M0L-1T0
(c)
M-1L-1T0
(d)
M0L0T0
Ans (b)
8. Which of the following pair of the physical quantity have the same dimensions?
(a) Frequency and angular velocity
(b) Pressure gradient and potential gradient
(c) Angular frequency and velocity gradient
(d) Force constant and surface tension
Ans(b)
9. An athletics coach told his team that ‘muscle time speed equations power’ What dimensional does he view for ‘muscle’ ?
(a) MLT-2
(b) ML2T-2
(c) MLT2
(d) L
Ans (a)
10. If force, length and time would have been the fundamental units, what would have been the dimensional formula for mass?
(a) FL-1T2
(b) FLT-2
(c) FLT-1
(d) F
Ans (a)