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Units and Measurements · Question 44

AIPMT 2008MCQEasy📈 Topic in 38% papers+4−1
1

Which two of the following five physical parameters have the same dimensions ? 1. Energy density 2. Refractive index 3. Dielectric constant 4. Young's modulus 5. Magnetic field

  1. 1 and 4
  2. 1 and 5
  3. 2 and 4
  4. 3 and 5

Answer

(1) 1 and 4

Solution

Energy density = energyvolume = [ML2T-2][L3] = [ML-1T-2]

Young's modulus = stressstrain = forcearea = [ML-1T-2]

Refractive index and dielectric constant are dimensionless, and magnetic field has dimensions [MT-2A-1].

Energy density (1) and Young's modulus (4) have the same dimensions.

Answer: (1)

AIPMT 2008

Keep practising — Units and Measurements

2

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

  1. [ML2T-2]
  2. [ML2T-1I-1]
  3. [ML2T-3I-2]
  4. [ML2T-3I-1]
AIPMT 2007
3

The velocity v of a particle at time t is given by v = at + bt+c, where a, b and c are constants. The dimensions of a, b and c are

  1. [L], [LT] and [LT-2]
  2. [LT-2], [L] and [T]
  3. [L2], [T] and [LT-2]
  4. [LT-2], [LT] and [L]
AIPMT 2006
4

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
AIPMT 2005
5

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
AIPMT 2004
6

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

  1. energy
  2. momentum
  3. angular momentum
  4. power
AIPMT 2001
7

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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