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Units and Measurements

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

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)

Keep practising — Units and Measurements

Ques. 2AIPMT 2008

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%
Ques. 3AIPMT 2008

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
Ques. 4AIPMT 2007

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]
Ques. 5AIPMT 2006

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]
Ques. 6AIPMT 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
Ques. 7AIPMT 2004

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
Ques. 8AIPMT 2001

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

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