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Units and Measurements · Question 45

AIPMT 2007MCQEasy📈 Topic in 38% papers+4−1
1

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]

Answer

(3) [ML2T-3I-2]

Solution

R = VI = WqI = WI2 t

⇒ [R] = [ML2T-2][I2][T]

∴ [R] = [ML2T-3I-2]

Answer: (3)

AIPMT 2007

Keep practising — Units and Measurements

2

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
3

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
4

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
AIPMT 2004
5

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

  1. energy
  2. momentum
  3. angular momentum
  4. power
AIPMT 2001
6

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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