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
Correct options are B) and D) ∴E=hv h=vE=∣T−1∣∣∣∣ML2T−2∣∣∣=[ML2T−1] Linear impulse =F.t.=dtdp⋅dt=dp =mv=[MLT−1] Angular impluse = τ⋅dt=dtdL⋅dt=dL=mvr =[M][LT1][L]=[ML2T−1] Linear momentum = mv=[MLT−1] Angular momentum = L=mvr=[ML2T−1] So the dimensional formulae of h, Angular impulse and Angular momentum are same. Hence, verifies the option (b) and (d).
