Question

If the wavelength of an electron is equal to distance travelled by it in one second, then the correct relation is:

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

Answer 1

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

We know, de Broglie wavelength, $\lambda =\frac{h}{m\nu }$

But, since the wavelength is led by 1 second, we have $\lambda =\nu$

Thus, $\lambda =\frac{h}{m\times \lambda }$

${\lambda }^2=\frac{h}{m}$ or,

$\lambda =\sqrt{\frac{h}{m}}$

Hence, option D is correct.