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Question: What possibly can be the ratio of the de Broglie wavelengths for two electrons each having zero init...

What possibly can be the ratio of the de Broglie wavelengths for two electrons each having zero initial energy and accelerated through 50 volts and 200 volts ?

A

3 : 10

B

10 : 3

C

1 : 2

D

2 : 1

Answer

2 : 1

Explanation

Solution

λ1λ1=V2V1=20050=21\frac{\lambda_{1}}{\lambda_{1}} = \sqrt{\frac{V_{2}}{V_{1}}} = \sqrt{\frac{200}{50}} = \frac{2}{1}