Q.

The de Broglie wavelength of an electron accelerated between two plates having a potential difference of 900 V is nearly

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a

0.01nm

b

0.02nm

c

0.04nm

d

0.015nm

answer is D.

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Detailed Solution

Electron is accelerated to a potential of 400 V.

So the kinetic energy if the electron is given by 400 eV.
 de-Broglie wavelength λ=h2mK

λ=6.6×103429.1×1031×900×1.6×1019 ⇒λ=40.7×1012mλ=0.04 nm

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