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If the frequency of an emitted x-ray is 1.6 x 10\(^{16}\)...

If the frequency of an emitted x-ray is 1.6 x 10\(^{16}\)Hz, the accelerating potential is?
[e = 1.6 x 10\(^{19}\)C, h = 6.63 x 10\(^{-34}\)Js]

A.

6630.0V

B.

663.0V

C.

66.3V

D.

6.6V

Correct answer is C

Energy imparted by the accelerating system = e x V, where V is the accelerating potential; and this energy is equal to the energy of the X-ray, give by hf

e x V = hf
∴ V = hf/e
(6.63 x 10\(^{-34}\) x 1.6 x 10\(^{16}\))/1.6 x 10\(^{-19}\)

= 6.63 x 10 = 66.3V