Question

Calculate the velocity of an electron placed in the second orbit of $Li^{2+}$ ion.

• A. 0.521 m s^-1
• B. 3.27 × 10³ m s^-1
• C. 4.23 × 10³ m s^-1
• D. 3.27 × 10⁶ m s^-1

Answer 1

Answer: (D)

The velocity of an electron in n^th shell of the hydrogen like atom = $\frac{2.18\times10^{6}\,\,ms^{-1}\times Z}{n}$
On putting Z = 3 and n = 2,
$v=\frac{2.18\times10^{6}\times3}{2}=3.27\times10^{6}\,m\,s^{-1}$