The maximum velocity to which a proton can be | vedclass

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(D) In a cyclotron,the maximum velocity $v$ of a particle is related to the radius $r$ and frequency $f$ by the formula $v = r \omega = r(2 \pi f)$.Gi

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$3.14 	imes 10^7\, m/s$

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(D) In a cyclotron,the maximum velocity $v$ of a particle is related to the radius $r$ and frequency $f$ by the formula $v = r \omega = r(2 \pi f)$.Given:Frequency $f = 10\, MHz = 10 	imes 10^6\, Hz = 10^7\, Hz$.Radius $r = 50\, cm = 0.5\, m$.Substituting these values into the formula:$v = 2 	imes \pi 	imes r 	imes f$$v = 2 	imes 3.14 	imes 0.5 	imes 10^7$$v = 1 	imes 3.14 	imes 10^7\, m/s$$v = 3.14 	imes 10^7\, m/s$.

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

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