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Units and Measurement
Question
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If the dimensions of a physical quantity are given by Ma Lb Tc, the physical quantity will be 

  • pressure if a = 1, b = -1, c= 2

  • velocity if a = 1, b = 1, c = -2

  • acceleration if a = 1, b = 1, c =-2

  • force if a = 0, b = -1, c =- 2

Answer

A.

pressure if a = 1, b = -1, c= 2

Dimensions of velocity = [ M0L1T-1]
Here, a = 0, b =1, c = -1
Dimension of acceleration = [ M0L1T-2]
Dimension of force = [ M1L1T-2]
Dimension of pressure = [M1L-1T-2
The physical quantity is pressure.

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