The de-Brogile wavelength associated with electron in the `n = 4` level is :-

Options

A. `(1)/(4)`th of the de-Broglie wavelength of the electron in the ground state
B. four times the de-Broglie wavelength of the electron in the ground state
C. two times the de-Broglie wavelength of the electron in the ground state
D. half of the de-Broglie wavelength of the electron in the ground state

Answer

B

Explanation

Given, the linear momentum of a particle (p)
`=2.2xx10^(40kg-ms^(-1)impliesh=6.6xx10^(-34)J-s`
The de-Broglie wavelength of particle,
`lamda=(h)/(p)=(6.6xx10^(-34))/(2.2xx10^(4))`
or `lamda=3xx10^(-38)m=3xx10^(-29)nm`