Physics

Which of the following pair does not have identical dimension ?


ANSWER

Angular momentum and plank's constant


SOLUTION
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, here we can see that both the Planck's constant and Angular momentum have the same dimensions.
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Single Correct Medium Published on 18th 08, 2020
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