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Units and Measurements · Question 47

AIPMT 2005MCQEasy📈 Topic in 38% papers+4−1
1

The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of

  1. time
  2. frequency
  3. angular momentum
  4. velocity

Answer

(2) frequency

Solution

[h] = [E][ ] = [ ML2T-2][ T-1] = [ ML2T-1]

[I] = [ML2]

[h][I] = [ ML2T-1][ML2] = [ T-1]

The ratio has the dimensions of frequency.

Answer: (2)

AIPMT 2005

Keep practising — Units and Measurements

2

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
AIPMT 2004
3

The dimensions of Planck's constant are equal to those of

  1. energy
  2. momentum
  3. angular momentum
  4. power
AIPMT 2001
4

Which pair does not have equal dimensions?

  1. Energy and torque
  2. Force and impulse
  3. Angular momentum and Planck constant
  4. Elastic modulus and pressure
AIPMT 2000

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