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NEET PHYSICSEasy

Planck's constant has the dimensions (unit) of

A

Energy

B

Linear momentum

C

Work

D

Angular momentum

Step-by-Step Solution

To determine the correct option, we compare the dimensional formula of Planck's constant with the given physical quantities:

  1. Planck's Constant (hh): From the relation E=hνE = h\nu, where EE is energy and ν\nu is frequency: [h]=[E][ν]=[ML2T2][T1]=[ML2T1][h] = \frac{[E]}{[\nu]} = \frac{[ML^2T^{-2}]}{[T^{-1}]} = [ML^2T^{-1}] Alternatively, the unit is Joule-second (JsJ\cdot s).

  2. Analyze Options:

  • Energy/Work: Dimensions are [ML2T2][ML^2T^{-2}].
  • Linear Momentum (p=mvp = mv): Dimensions are [MLT1][MLT^{-1}].
  • Angular Momentum (L=mvrL = mvr): Dimensions are [M][LT1][L]=[ML2T1][M][LT^{-1}][L] = [ML^2T^{-1}].
  1. Conclusion: The dimensions of Planck's constant [ML2T1][ML^2T^{-1}] are identical to those of Angular momentum .
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