साइक्लोट्रॉन में धनायन की अधिकतम गतिज ऊर्जा है

Options

A. `(q^(2)Br_(0))/(2m)`
B. `(qB^(2)r_(@))/(2m)`
C. `(q^(2)B^(2)r_(0)^(2))/(2m)`
D. `(qBr_(0))/(2m^(2))`

Answer

C

Explanation

`K_("max")=(1)/(2)mv^(2)" and "r_(0)=(mv)/(qB)impliesv=(qBr_(0))/(m)`
`impliesK_("max")=(1)/(2)m((qBr_(0))/(m))^(2)=(q^(2)B^(2)r_(0)^(2))/(2m)`