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Photon is quantum of radiation with ener...

Photon is quantum of radiation with energy E =hv where v is frequency and h is Planck's constant. The dimensions of h are the same as that of

A

linear impulse

B

angular impulse

C

linear momentum

D

angular momentum

Text Solution

Verified by Experts

The correct Answer is:
B, D

We know that energy of radiation,E=hv
`[h]=([E])/([v])=([ML^(2)T^(-2)])/([T^(-1)])=[ML^(2)T^(-1)]`
Dimension of linear impulse =Dimension of momentum = `[MLT^(-1)]`
As we know that linear impulse `J=DeltaP`
`Rightarrow"Angular impulse "taudt=DeltaL="Change in angular momentum"`
Hance, dimension of angular impulse
= Dimension of angular momentum
=`[ML^(2)T^(-1)]`
This is similar to the dimension of Planck's constant h.
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