AP EAPCET 04-Jul-2022 Shift 1 Paper

If v1 and v2 be the velocities of electron e1 and e2. Then according to given condition.
K1‌=2K2
‌

1

2

mv12‌=2(‌

1

2

mv22)
⇒‌‌v12‌=2v22⇒v1=√2v2
Since, frequency of rotation of electrons in magnetic field is given as,
f=‌

2πm

Bq

⇒f∝‌

m

q

Since m and q are same for both electrons e1 and e2 an f does not depend on the velocity of moving electron.
Hence, ‌‌f1=f2