Solveeit Logo
Login

Question

Question: The speed of an electron having a wavelength of \(10^{- 10}m\) is...

The speed of an electron having a wavelength of 10−10m10^{- 10}m is

A

7.25×1067.25 \times 10^{6}m/s

B

6.26×106m/s6.26 \times 10^{6}m/s

C

5.25×106m/s5.25 \times 10^{6}m/s

D

4.24×106m/s4.24 \times 10^{6}m/s

Answer

7.25×1067.25 \times 10^{6}m/s

Explanation

Solution

By using λelectron=hmev\lambda_{electron} = \frac{h}{m_{e}v}

⇒ v=hmeλe=6.6×10−349.1×10−31×10−10=7.25×106m/⥂s.v = \frac{h}{m_{e}\lambda_{e}} = \frac{6.6 \times 10^{- 34}}{9.1 \times 10^{- 31} \times 10^{- 10}} = 7.25 \times 10^{6}m/ ⥂ s.