BITSAT 2019 Paper

Form the Bohr's theory,
Speed of an electron in nth orbit, v∝n.........(1)
Radius of the orbit, r∝n2..........(2)
Time period, T=‌

2πr

v

2π is a constant.
Hence T∝‌

r

v

.......... (3)
From (1),(2) and (3) T∝‌

n2

1 n

⇒T∝n3
Angular speed, ω=‌

2π

T

⇒ω∝‌

1

n3

Hence, The angular speed of the electron in nth orbit of Bohr hydrogen is inversely proportional to n3