Solveeit Logo
Login

Question

Chemistry Question on Structure of atom

If the velocity of an electron in Bohr?? first orbit is 2.19×106 m s−12.19 \times 10^6\, m\, s^{-1}, what will be the de Broglie wavelength associated with it?

A

2.19×10−6 m2.19 \times 10^{-6}\,m

B

4.38×10−6 m4.38 \times 10^{-6}\,m

C

3.32×10−10 m3.32 \times 10^{-10}\,m

D

3.32×1010 m3.32 \times 10^{10}\,m

Answer

3.32×10−10 m3.32 \times 10^{-10}\,m

Explanation

Solution

λ=hmv\lambda=\frac{h}{mv} =6.626×10−34 J s9.11×10−31 kg×2.19×106 m s−1=\frac{6.626 \times 10^{-34}\,J\,s}{9.11 \times 10^{-31}\,kg \times 2.19 \times 10^{6}\,m\,s^{-1}} =3.32×10−10 m=3.32\times10^{-10}\,m