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If the frequency of an emitted x-ray is 1.6 x 1016...

If the frequency of an emitted x-ray is 1.6 x 1016Hz, the accelerating potential is?
[e = 1.6 x 1019C, h = 6.63 x 1034Js]

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 1034 x 1.6 x 1016)/1.6 x 1019

= 6.63 x 10 = 66.3V