Question

If wavelength is equal to the distance travelled by the electron in one second, then:

• A. $\lambda =\frac{h}{p}$
• B. $\lambda =\frac{h}{m}$
• C. $\lambda =\sqrt{\frac{h}{p}}$
• D. $\lambda =\sqrt{\frac{h}{m}}$

Answer 1

The correct option is D $\lambda =\sqrt{\frac{h}{m}}$

Distance travelled by the electron in one second is the speed of the wave $\left(v\right)$. So accroding to the question
$\lambda =v\text{where},\lambda =\text{wavelength}$
Again, according to the de- Broglie wavelength
$\lambda =\frac{h}{mv}\Rightarrow \lambda v=\frac{h}{m}\Rightarrow {\lambda }^2=\frac{h}{m}So,\lambda =\sqrt{\frac{h}{m}}$