Units and Measurement Questions and Answers Part-17

1. The dimensions of pressure are
a) $MLT^{-2}$
b) $ML^{-2}T^{2}$
c) $ML^{-1}T^{-2}$
d) $MLT^{2}$

Explanation: $ML^{-1}T^{-2}$

2. Dimensions of permeability are
a) $A^{-2}M^{1}L^{1}T^{-2}$
b) $MLT^{-2}$
c) $ML^{0}T^{-1}$
d) $A^{-1}MLT^{2}$

Explanation:

3. Dimensional formula of magnetic flux is
a) $ML^{2}T^{-2}A^{-1}$
b) $ML^{0}T^{-2}A^{-2}$
c) $M^{0}L^{-2}T^{-2}A^{-3}$
d) $ML^{2}T^{-2}A^{3}$

Explanation:

4. If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then non-zero integers x, y and z such that $P^{x}Q^{y}c^{z}$  is dimensionless, are
a) $X=1,Y=1,Z=-1$
b) $X=1,Y=-1,Z=1$
c) $X=-1,Y=1,Z=1$
d) $X=1,Y=1,Z=1$

Explanation:

5. Inductance L can be dimensionally represented as
a) $ML^{2}T^{-2}A^{-2}$
b) $ML^{2}T^{-4}A^{-3}$
c) $ML^{-2}T^{-2}A^{-2}$
d) $ML^{2}T^{4}A^{3}$

Explanation:

6. Dimensions of strain are
a) $MLT^{-1}$
b) $ML^{2}T^{-1}$
c) $MLT^{-2}$
d) $M^{0}L^{0}T^{0}$

Explanation: Strain is dimensionless

7. Dimensions of time in power are
a) $T^{-1}$
b) $T^{-2}$
c) $T^{-3}$
d) $T^{0}$

Explanation: Dimensions of power is [ML2T-3]

8. Dimensions of kinetic energy are
a) $ML^{2}T^{-2}$
b) $M^{2}LT^{-1}$
c) $ML^{2}T^{-1}$
d) $ML^{3}T^{-1}$

Explanation:

9. Dimensional formula for torque is
a) $L^{2}MT^{-2}$
b) $L^{-1}MT^{-1}$
c) $L^{2}MT^{-3}$
d) $LMT^{-2}$

a) $ML^{2}T^{-2}$
b) $ML^{2}T^{-1}$
c) $ML^{-1}T^{-1}$