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  4. Two large parallel plates are connected with the terminal of 100 V power supply. These plates have a fine hole at the centre. An electron having energy 200 V is so directed that it passes through the holes. When it comes out its de-Broglie wavelength is

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Q. Two large parallel plates are connected with the terminal of $100 V$ power supply. These plates have a fine hole at the centre. An electron having energy $200\, V$ is so directed that it passes through the holes. When it comes out its de-Broglie wavelength isPhysics Question Image

Dual Nature of Radiation and Matter

Solution:

Energy of the electron, when it comes out from the second plate
$=200\, V -100\, V =100\, V$
Hence accelerating potential difference $=100\, V$
$\lambda_{\text {electron }}=\frac{12.27}{\sqrt{V}}$
$=\frac{12.27}{\sqrt{100}}=1.23\, \mathring{A}$