Given below are two statements.Statement (I) | vedclass

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(C) Statement $(I):$ The energy of a photon is given by $E = hf$. The dimensions of Planck's constant $h$ are $[h] = [E]/[f] = [ML^2T^{-2}]/[T^{-1}] =

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Statement $I$ is correct but Statement $II$ is incorrect

Vedclass · Answer

(C) Statement $(I):$ The energy of a photon is given by $E = hf$. The dimensions of Planck's constant $h$ are $[h] = [E]/[f] = [ML^2T^{-2}]/[T^{-1}] = [ML^2T^{-1}]$. The dimensions of angular momentum $L = mvr$ are $[L] = [M][LT^{-1}][L] = [ML^2T^{-1}]$. Thus,Statement $(I)$ is correct.Statement $(II):$ According to Bohr's postulate,the angular momentum $L$ of an electron in a stable orbit is an integral multiple of $h/(2\pi)$,i.e.,$L = nh/(2\pi)$,where $n$ is an integer. The statement claims it is an integral multiple of $h$,which is incorrect because the factor $1/(2\pi)$ is missing. Thus,Statement $(II)$ is incorrect.

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