Question

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

As we know,

$\lambda$ = $\frac{h}{mv}$

But v${}^2=\frac{h}{m}$

By putting this in the equation, we get

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

Hence, the correct option is $D$