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Units and Measurements

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

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)

Keep practising — Units and Measurements

Ques. 2AIPMT 2004

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
Ques. 3AIPMT 2001

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

  1. energy
  2. momentum
  3. angular momentum
  4. power
Ques. 4AIPMT 2000

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

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