Question

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 1

The correct option is D 2 : 1

The de Broglie wavelength is inversely proportional to the square root of the potential through which an electron is accelerated.

For two electrons each having zero initial energy and accelerated through 50 volts and 200 volts, the ratio of the de Broglie wavelengths is:

$\frac{\lambda }{{\lambda }^{\prime }}=\sqrt{\frac{V^{\prime }}{V}}=\sqrt{\frac{200}{50}}=2:1$

Hence, the correct option is $D$