Question

The radius of the 5th orbit of hydrogen atom is 13.25 * 10^-10m. Calculate the wavelength of the
electron in the 5th orbit.​

Answer 1

Answer:

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Answer 2

The wavelength of the  electron in the 5th orbit is $1.66\times 10^{-9}\ m$ .

Given :

Radius of the 5th orbit of hydrogen atom , $r=13.25\times 10^{-10}\ m$ .

We need to find the wavelength of the  electron in the 5th orbit.​

We know , in quantum physics :

The circumference of the orbit is equal to product of orbit and wavelength .

In mathematics , $2\pi r=n\lambda$

Therefore , $\lambda=\dfrac{2\pi r}{n}$

Putting all values , we get :

$\lambda=\dfrac{2\times 3.14\times 13.25\times 10^{-10}}{5}\\\\\lambda=1.66\times 10^{-9}\ m$

Hence , this is the required solution .

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