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) \[MLT^{2}\]

Answer: c
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) \[A^{-1}MLT^{2}\]

Answer: a
Explanation:
q162

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) \[ML^{2}T^{-2}A^{3}\]

Answer: a
Explanation:
q163

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) \[X=1,Y=1,Z=1\]

Answer: b
Explanation:
q164

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) \[ML^{2}T^{4}A^{3}\]

Answer: a
Explanation:
q165

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

Answer: d
Explanation: Strain is dimensionless

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

Answer: c
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) \[ML^{3}T^{-1}\]

Answer: a
Explanation:
q168

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

Answer: a
Explanation: Torque = force * distance = [ML2T-2]

10. Dimensions of coefficient of viscosity are
a) \[ML^{2}T^{-2}\]
b) \[ML^{2}T^{-1}\]
c) \[ML^{-1}T^{-1}\]
d) MLT

Answer: c
Explanation:
q170