Question

What is the ratio of de broglie wavelength for electron accelerated through 200 volts and 50 volts?

Answer 1

Refers to attachment.......

Answer 2

The ratio of De Broglie wavelength for electron accelerated through 200 volts and 50 volts is 2:1.

Explanation:

In this case, we need to find the ratio of De Broglie wavelength for electron accelerated through 200 volts and 50 volts. The De Broglie wavelength of electron in terms of potential difference is given by :

$\lambda=\dfrac{h}{\sqrt{2meV} }$

Where

h is the Planck's constant

m and e are mass and charge on electron

V is the potential difference,

$\lambda\propto \dfrac{1}{\sqrt{V} }$

$\dfrac{\lambda_1}{\lambda_2}=\sqrt{\dfrac{V_2}{V_1}}$

$\dfrac{\lambda_1}{\lambda_2}=\sqrt{\dfrac{200\ V}{50\ V}}$

$\dfrac{\lambda_1}{\lambda_2}=\dfrac{2}{1}$

So, the ratio of De Broglie wavelength for electron accelerated through 200 volts and 50 volts is 2:1. Hence, this is the required solution.

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De Broglie wavelength

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