Question

According to Bohr's theory:
$E_n=$ Total energy
$K_n=$ Kinetic energy
$V_n=$ Potential energy
$r^n=$ Radius of the nth orbit
Match List-I with List-II.

Answer 1

(A) $V_n=-\frac{1}{4\pi {ϵ}_0}\left(\frac{Z{e}^2}{r}\right)$

$K_n=\frac{1}{8\pi {ϵ}_0}\left(\frac{Z{e}^2}{r}\right)$

$\Rightarrow \frac{V_n}{K_n}=-2$

(B) $E_n=-\frac{Z{e}^2}{8\pi {ϵ}_{0}r}$

$E_n\propto r^{-1}$

$\Rightarrow x=-1$

(C) Angular momentum $=\sqrt{l(l+1)}\frac{h}{2\pi }=0$ is $1s$ orbital. As $l$=0 for 1s.

(D) $r_n=\frac{a_0{n}^2}{Z}$

$\Rightarrow \frac{1}{r_n}\propto Z$.

So, $y=1$

Hence, the correct answer is $A=3;B=2;C=1;D=4$