WBJEE 2019 Physics Solved Paper

According to the Bohr's atomic model,
Angular momentum, L=mvr=‌

nh

2π

...(i)
since, angular velocity ω=‌

v

r

⇒v=rω
From Eq (i), we get
m(rω)r=‌

nh

2π

mωr2=‌

nh

2π

ω=‌

nh

2πmr2

.....(ii)
since, the radius of the electron in n‌th ‌ orbit of
Bohr's atomic model is given as, r=‌

n2h2ε0

πmze2

...(iii)
Squaring the Eq. (iii) and substituting its value in Eq. (ii), we get
ω=‌

nh(πmze)2

2πm(n4h4ε02)

⇒ω∝‌

1

n3