Question

If the de Broglie wavelength of the electron in $n^{th}$ Bohr orbit in a hydrogenic atom is equal to $1.5$ $\pi a_0$ ($a_0$ is Bohr radius), then the value of $n/z$ is:

• A. $1.0$
• B. $0.75$
• C. $0.40$
• D. $1.50$

Answer 1

The correct option is B $0.75$

According to de-Broglie's hypothes is $2\pi r_a=n\lambda$

$\Rightarrow 2\pi \cdot a_0=\frac{n^2}{z}=n\times 1.5\pi a_0$

$\frac{n}{z}=0.75$.

So, the correct option is $B$