Q.

Find the dimensional formula of the ratio of Planck's constant and the moment of inertia.

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a

Time

b

Frequency

c

Angular momentum

d

Velocity

answer is B.

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Detailed Solution

According to Planck : E=hv or  h=EvSubstituting the dimensions of known physical quantities :[h]=ML2T−2T−1 or [h]=ML2T−1Now, we know that moment of inertia, I -I=∑mr2∴ [I]=ML2∴  ratio, hI=ML2T−1ML2=T−1i.e. it has the dimensions of frequency.
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