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Physics Question on Moving charges and magnetism

Cyclotron is adjusted to give proton beam, magnetic induction is 0.15 wbm−2wbm^{-2} and the extreme radius is 1.5 m. The energy of emergent proton in MeV will be

A

34.2

B

3.42

C

2.43

D

24.3

Answer

2.43

Explanation

Solution

KE=B2 q2 R22mKE=\frac{B^2\,q^2\,R^2}{2m}