If the error in measurement of the radius of a sphere is 0.1%, then the error in its volume will be:
1. 0.3%
2. 0.4%
3. 0.5%
4. 0.6%
Which, of the following pair does not have equal dimensions?
1. Energy and torque
2. Force and impulse
3. Angular momentum and Planck's constant
4. Modulus of Elasticity and pressure
The dimension of Planck's constant equals to that of:
1. Energy
2. Momentum
3. Angular momentum
4. Power
The universal gravitational constant is dimensionally represented as:
1. \(\left[ML^2T^{-1}\right]\)
2. \(\left[M^{-2}L^3T^{-2}\right]\)
3. \(\left[M^{-2}L^2T^{-1}\right]\)
4. \(\left[M^{-1}L^3T^{-2}\right]\)
The ratio of the dimension of Planck's constant and that of the moment of inertia is the dimension of:
1. Velocity
2. Angular momentum
3. Time
4. Frequency