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

Question

Photon is quantum of radiation with energy E=h v 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

Tardigrade Admin · Accepted Answer

From E=h v h=(E/v)=([ ML 2 T -2]/[ T -1]) =[ ML 2 T -1] Angular impulse =τ × t=[ ML 2 T -2 × T ] =[ ML 2 T -1] Angular momentum =m v r=M[ LT -1] L =[ ML 2 T -1]

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

Linear impulse

Angular impulse

Linear momentum

Angular momentum

From $E = h v$
$h = \frac{E}{v} = \frac{[ M L ^{2} T ^{- 2} ]}{[ T ^{- 1} ]}$
$= [M L^{2} T^{- 1}]$
Angular impulse
$= τ \times t = [M L^{2} T^{- 2} \times T]$
$= [M L^{2} T^{- 1}]$
Angular momentum
$= m v r = M [L T^{- 1}] L$
$= [M L^{2} T^{- 1}]$

Q. 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