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The maximum velocity to which a proton...

The maximum velocity to which a proton can be accelerated in a cyclotron of 10 MHZ frequency and radius 50 cm is

A

`6.28 xx 10^(8)` m/s

B

`3.14 xx 10^(8)` m/s

C

`6.28 xx 10^(7)` m/s

D

`3.14 xx 10^(7)` m/s

Text Solution

Verified by Experts

The correct Answer is:
D
`T = (2pi r)/(v_("max")) implies v_("max") = (2pi r)/(T) = 2pi r f `
`implies 2 xx 3.14 xx 10^(7) xx 50 xx 10^(-2)`
`implies 3.14 xx 10^(7)` m/s
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