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Units and Measurement question

2009 · Q175
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Units and Measurement question

2009 · Q175

NEETPhysicsUnits and MeasurementMCQ+4 / −1
If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
  1. A
    velocity if   a = 1, b = 0, c = −-−1
  2. B
    acceleration if   a = 1, b = 1, c = −-−2
  3. C
    force if   a = 0, b = −-−1, c = −-−2
  4. D
    pressure if   a = 1, b = −-−1, c = −-−2
View written solutionFree

Correct answer: D

Velocity = [LT-1] so a = 0, b = 1, c = -1

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

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

Pressure = forceArea=[MLT−2][L2]=[ML−1T−2]{{force} \over {Area}} = {{\left[ {ML{T^{ - 2}}} \right]} \over {\left[ {{L^2}} \right]}} = \left[ {M{L^{ - 1}}{T^{ - 2}}} \right]Areaforce​=[L2][MLT−2]​=[ML−1T−2],
so a = 1, b = - 1, c = - 2

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