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Units and Measurement question

2022 · Q163
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Units and Measurement question

2022 · Q163

NEETPhysicsUnits and MeasurementMCQ+4 / −1

The physical quantity that has the same dimensional formula as pressure is

  1. A
    Coefficient of viscosity
  2. B
    Force
  3. C
    Momentum
  4. D
    Young's modulus of elasticity
View written solutionFree

Correct answer: D

Pressure $$[P] = \left[ {{F \over A}} \right] = \left[ {{{ML{T^{ - 2}}} \over {{L^2}}}} \right] = [M{L^{ - 1}}{T^{ - 2}}]$$

And, dimensions of Young's modulus $$[Y] = \left[ {{{Stress} \over {Strain}}} \right] = [M{L^{ - 1}}{T^{ - 2}}]$$

[Force] $ = [ML{T^{ - 2}}]$

[Momentum] $ = [ML{T^{ - 1}}]$

[Coefficient of viscosity] $$ = [M{L^{ - 1}}{T^{ - 1}}]$$

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