Question

If velocity of an electron in I orbit of H atom is V, what will be the velocity of electron in $3^{rd}$ orbit of $L{i}^{2+}$:

• A. $V$
• B. $\frac{V}{3}$
• C. $3V$
• D. $9V$

Answer 1

The correct option is A

$V$

Velocity $=\frac{2.18\times {10}^6\times Z}{n}m/s$

Velocity in first orbit of H atom $=\frac{2.18\times {10}^6\times 1}{1}=V$(given).......(i)

Velocity in $3^{rd}$ orbit of $L{i}^{2+}=\frac{2.18\times {10}^6\times 3}{3}=(V_3{)}_{L{i}^{2+}}......(ii)$

$\left(i\right)÷\left(ii\right)$

$\frac{V}{(V_3{)}_{L{i}^{2+}}}=1$

$(V_3{)}_{L{i}^{2+}}=V$