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A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle :

Option: 1
$1:1$

Option: 2
$1:2$

Option: 3
$2:1$

Option: 4
$1:4$

Answers (1)

best_answer

$\mathrm{R=\frac{mv}{qb}=\frac{\sqrt{2mk}}{qb}}$

$\mathrm{R\alpha \sqrt{k}}$

$\mathrm{Ratio\; 2:1}$

Hence, the correct answer is Option (3).

Posted by

HARSH KANKARIA

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