Question

# The dimensional formula for plank's constant and angular momentum are

A
[ML2T2]and[MLT1]
B
[ML2T1]and[ML2T1]
C
[ML3T1]and[ML2T2]
D
[ML2T1]and[ML2T2]

Solution

## The correct option is B $$\left[ M{ L }^{ 2 }{ T }^{ -1 } \right] and \left[ ML^{ 2 }{ T }^{ -1 } \right]$$Planck's constant, symbolized h, relates the energy in one quantum (photon) of electromagnetic radiation to the frequency of that radiation.$$h=\dfrac Ev=\dfrac{[ML^2T^{-2}]}{[T^{-1}]}=[ML^2T^{-1}]$$Angular momentum $$=$$ Moment of inertia $$\times$$ Angular velocity (Angular momentum)$$=[ML^2][T^{-1}]=[ML^2T^{-1}]$$So, correct answer is option (B).Physics

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