Gujarati
4.Moving Charges and Magnetism
medium

साइक्लोट्रॉन में धनायन की अधिकतम गतिज ऊर्जा है

A

$\frac{{{q^2}B{r_0}}}{{2m}}$

B

$\frac{{q{B^2}{r_o}}}{{2m}}$

C

$\frac{{{q^2}{B^2}r_0^2}}{{2m}}$

D

$\frac{{qB{r_0}}}{{2{m^2}}}$

Solution

${K_{\max }} = \frac{1}{2}m{v^2}$ and ${r_0} = \frac{{mv}}{{qB}}$

$v = \frac{{qB{r_0}}}{m}$

 ${K_{\max }} = \frac{1}{2}m{\left( {\frac{{qB{r_0}}}{m}} \right)^2} = \frac{{{q^2}{B^2}r_0^2}}{{2m}}$

Standard 12
Physics

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