A proton of mass 1.6 nbsp;× 10^-27 kg g

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A proton of mass $ 1.6  \times 10^{-27} kg$ goes round in a circular orbit of radius $0.10\, m$ under a centripetal force of $4  \times 10^{-13}\, N$. then the frequency of revolution of the proton is about 

A

$0.08  \times 10^8 $cycles per sec

B

$4  \times 10^8 $cycles per sec

C

$8  \times 10^8 $cycles per sec

D

$12  \times 10^8 $cycles per sec

A proton of mass $ 1.6  \times 10^{-27} kg$ goes round in a circular orbit of radius $0.10\, m$ under a centripetal force of $4  \times 10^{-13}\, N$. then the frequency of revolution of the proton is about 

$m\,4{\pi ^2}{n^2}r = 4 \times {10^{ - 13}}$ $⇒$ $n = 0.08 \times {10^8}\,cycles/\sec .$