A cyclotron is used to accelerate protons, deuterons, α-particles etc. If the energy attained, after acceleration, by the protons is E, the energy attained by α-particles shall be

Question

A cyclotron is used to accelerate protons, deuterons, α-particles etc. If the energy attained, after acceleration, by the protons is E, the energy attained by α-particles shall be (A)  4E  (B)  2E  (C)  E  (D)  E /4

Tardigrade Admin · Accepted Answer

For a cyclotron, maximum energy gained by the charged particle E max =[(q2 B2/2 m)] r2 As qα=2 qp mα=4 mp (E max ) text proton =(E max ) text alpha

Q. A cyclotron is used to accelerate protons, deuterons, $α$ -particles etc. If the energy attained, after acceleration, by the protons is $E$ , the energy attained by $α$ -particles shall be

$4 E$

$2 E$

$E$

$E$ /4

For a cyclotron, maximum energy gained by the charged particle
$E_{m a x} = [\frac{q ^{2} B ^{2}}{2 m}] r^{2}$
As $q_{α} = 2 q_{p}$
$m_{α} = 4 m_{p}$
$(E_{m a x})_{proton} = (E_{m a x})_{alpha}$

Q. A cyclotron is used to accelerate protons, deuterons, α-particles etc. If the energy attained, after acceleration, by the protons is E, the energy attained by α-particles shall be

4E

2E

E

E /4

For a cyclotron, maximum energy gained by the charged particle Emax​=[2mq2B2​]r2 As qα​=2qp​ mα​=4mp​ (Emax​)proton ​=(Emax​)alpha ​

Q. A cyclotron is used to accelerate protons, deuterons, $α$ -particles etc. If the energy attained, after acceleration, by the protons is $E$ , the energy attained by $α$ -particles shall be

$4 E$

$2 E$

$E$

$E$ /4

For a cyclotron, maximum energy gained by the charged particle
$E_{m a x} = [\frac{q ^{2} B ^{2}}{2 m}] r^{2}$
As $q_{α} = 2 q_{p}$
$m_{α} = 4 m_{p}$
$(E_{m a x})_{proton} = (E_{m a x})_{alpha}$