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Units and Measurements · Question 42

AIPMT 2009MCQEasy📈 Topic in 38% papers+4−1
1

If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be

  1. velocity if a = 1, b = 0, c = -1
  2. acceleration if a = 1, b = 1, c = -2
  3. force if a = 0, b = -1, c = -2
  4. pressure if a = 1, b = -1, c = -2

Answer

(4) pressure if a = 1, b = -1, c = -2

Solution

Velocity = [M0LT-1] a = 0, b = 1, c = -1

Acceleration = [M0LT-2] a = 0, b = 1, c = -2

Force = [MLT-2] a = 1, b = 1, c = -2

Pressure = ForceArea = [MLT-2][L2] = [ML-1T-2] a = 1, b = -1, c = -2

only the pressure option matches.

Answer: (4)

AIPMT 2009

Keep practising — Units and Measurements

2

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be

  1. 8%
  2. 2%
  3. 4%
  4. 6%
AIPMT 2008
3

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
AIPMT 2008
4

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
5

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
6

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
7

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
AIPMT 2004
8

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

  1. energy
  2. momentum
  3. angular momentum
  4. power
AIPMT 2001
9

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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