Question

calculate the wavelength of a particle of mass m=6.62*10^-27kg moving with kinetic energy 7.425*10^-13joule

Answer 1

hope this helps you.......

Answer 2

Answer : The wavelength of a particle is, $6.687\times 10^{-15}m$

Solution : Given,

Mass of a particle = $6.62\times 10^{-27}Kg$

Kinetic energy of a particle = $7.425\times 10^{-13}J=7.425\times 10^{-13}\text{ Kg }m^2s^{-2}$

Formula used for De Broglie wavelength :

$\lambda=\frac{h}{\sqrt{2\times m\times K.E}}$

where,

$\lambda$ = wavelength of a particle

h = Planck's constant = $6.63\times 10^{-34}Js=6.63\times 10^{-34}\text{ Kg }m^2s^{-1}$

m = mass of a particle

K.E = kinetic energy of a particle

Now put all the given values in the above formula, we get the wavelength of a particle.

$\lambda=\frac{6.63\times 10^{-34}Kgm^2s^{-1}}{\sqrt{2\times (6.62\times 10^{-27}Kg)\times (7.425\times 10^{-13}\text{ Kg }m^2s^{-2})}}$

$\lambda=0.6687\times 10^{-14}m$

$\lambda=6.687\times 10^{-15}m$

Therefore, the wavelength of a particle is, $6.687\times 10^{-15}m$