Question

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

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

Answer 1

Answer: (D)

$\lambda =\frac{h}{mv}$ distance travelled in one second by velocity $V=vcm=\lambda$
$\lambda =\frac{h}{m\lambda }\Rightarrow {\lambda }^2=\frac{h}{m}$
$\Rightarrow \lambda =\sqrt{\frac{h}{m}}$