A particle of mass ' m ' and charge ' Q ' is accelerated in cyclotron. If magnetic field is 'B' and radius of cyclotron is r then find the kinetic energy of the particle.

Question

A particle of mass ' m ' and charge ' Q ' is accelerated in cyclotron. If magnetic field is 'B' and radius of cyclotron is r then find the kinetic energy of the particle. (A) ( QBr /2 m ) (B) ( Q 2 B 2 r /2 m ) (C) (Q2 B2 r2/2 m) (D) (Q2 B2 r2/m)

Tardigrade Admin · Accepted Answer

R =( mu / qB ) KE =(1/2) mu 2=( Q 2 B 2 r2/2 m )

Q. A particle of mass ' $m$ ' and charge ' $Q$ ' is accelerated in cyclotron. If magnetic field is ' $B$ ' and radius of cyclotron is $r$ then find the kinetic energy of the particle.

$\frac{QB r}{2 m}$

$\frac{Q ^{2} B ^{2} r}{2 m}$

$\frac{Q ^{2} B ^{2} r ^{2}}{2 m}$

$\frac{Q ^{2} B ^{2} r ^{2}}{m}$

$R = \frac{m u}{qB}$
$K E = \frac{1}{2} m u^{2} = \frac{Q ^{2} B ^{2} r ^{2}}{2 m}$

Q. A particle of mass ' m ' and charge ' Q ' is accelerated in cyclotron. If magnetic field is 'B' and radius of cyclotron is r then find the kinetic energy of the particle.

2mQBr​

2mQ2B2r​

2mQ2B2r2​

mQ2B2r2​