If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution made by proton in a cyclotron to achieve one sixth of the speed of light is_________.

$[m_{p} = 1.67 \times 1 0^{- 27} k g, e = 1.6 \times 1 0^{- 19} C, S p e e d o f l i g h t = 3 \times 1 0^{8} m ? / ? s]$

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alok kumar singh | Contributor-Level 10

3 months ago

2nqV = $\frac{1}{2} m v^{2}$

$n = \frac{m v^{2}}{4 q V}$

$= \frac{1.67 \times 1 0^{- 27} \times {(0.5 \times 1 0^{8})}^{2}}{4 \times 1.6 \times 1 0^{- 19} \times 12 \times 1 0^{3}} = 543$

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