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Units and Measurement question

2005 · Q175
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Units and Measurement question

2005 · Q175

NEETPhysicsUnits and MeasurementMCQ+4 / −1
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of
  1. A
    time
  2. B
    frequency
  3. C
    angular momentum
  4. D
    velocity
View written solutionFree

Correct answer: B

Plank constant (h) = Eλc{{E\lambda } \over c}cEλ​ = [ML2T−2][L][LT−1]{{\left[ {M{L^2}{T^{ - 2}}} \right]\left[ L \right]} \over {\left[ {L{T^{ - 1}}} \right]}}[LT−1][ML2T−2][L]​ = [ML2T-1]

Moment of inertia (I) = mr2 = [ML2]

∴\therefore∴ hI={h \over I} = Ih​= [ML2T−1][ML2]{{\left[ {M{L^2}{T^{ - 1}}} \right]} \over {\left[ {M{L^2}} \right]}}[ML2][ML2T−1]​ = [T-1] = frequency

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