The equation λ = 1 . 227 x   nm can be used to find the de-Broglie wavelength of an electron. In…

The equation λ=1.227x nm can be used to find the de-Broglie wavelength of an electron. In this equation x stands for :
Where,
m= mass of electron
P= momentum of electron
K= Kinetic energy of electron
V= Accelerating potential in volts for electron
  1. mK
  2. P
  3. K
  4. V

Solution

The de-Broglie's wavelength is given by λ=hmv, where, h is Planck's constant and v is velocity.

Using relation between momentum and kinetic energy, we have λ=h2 mKE

Here, kinetic energy of electron is stated as KE=qV.

Then, we have λ=h2mqV

Putting the values of m=9.1×10-31 kg and q=1.62×10-19 C of electron

We get, λ=1.22V nm.

So, x stand for V.

Asked in: JEE Main 2022 (28 Jul Shift 1)

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