An α particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

Question

An &#945; particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

Aicharya · Accepted Answer

As we know, de-Broglie wavelength is given by,

$λ = \frac{h}{p}$

and $p = \sqrt{2 m K}$

Therefore,

$λ = \frac{h}{\sqrt{2 m K}}$

As kinetic energy is the same for all particles,

$∴ λ \propto \frac{1}{\sqrt{m}}$

$∵ m_{α} > m_{p} > m_{e}$

$λ_{e} > λ_{p} > λ_{α}$

An α particle, a proton and an electron have the same kinetic energy. Which one of the following is…

Solution

An &#945; particle, a proton and an electron have the same kinetic energy. Which one of the following is…

Solution

An α particle, a proton and an electron have the same kinetic energy. Which one of the following is…