If the de Broglie wavelength of the elec...

If the de Broglie wavelength of the electron in `n^(th)` Bohr orbit in a hydrogenic atom is equal to `1.5pia_(0)(a_(0)` is bohr radius), then the value of `n//z` is :

A

`1.50`

B

`0.75`

C

`1.0`

D

`0.40`

Verified by Experts

The correct Answer is:

B

`2pi r = n lambda`
`2pi xx a_(0) (n^(2))/(z) = n xx 1.5 pi a_(0)`
`2pi xx (n)/(z) = 1.5 pi`
`(n)/(z) = (1.5)/(2) = 0.75`

Similar Questions

Explore conceptually related problems

The de Broglie wavelength of an electron in the 3rd Bohr orbit is

The de-Broglie wavelength of an electron in the first Bohr orbit is

The de-Broglie wavelength lambda_(n) of the electron in the n^(th) orbit of hydrogen atom is

The de broglie wavelength of an electron in the first Bohr orbit is equal to

The De Broglie wavelenght associated with electron in n Bohr orbit is

The de-Broglie's wavelength of an electron in first orbit of Bohr's hydrogen is equal to

The angular speed of the electron in the n^(th) Bohr orbit of the hydrogen atom is proportional to

the number of de broglie wavelength contained in the second bohr orbit of hydrogen atom is