Question

The equivalent current due to motion of electron in first orbit of H-atom is (Velocity of electron at first orbit $=2.18\times {10}^{6}m/s$ ,Radius $=0.529\times {10}^{-10}m$):

• A. $0.7\times {10}^{-3}$ $A$
• B. $9\times {10}^{-3}$ $A$
• C. ${10}^{-3}$ $A$
• D. $0.8\times {10}^{-1}$ A
  

Answer 1

Answer: (C)

${10}^{-3}$ $A$

Velocity of electron at first orbit $=2.18\times {10}^{6}m/s$
Radius of first electron $=0.529\times {10}^{-10}m$

Charge on electron $=1.6\times {10}^{-19}coulomb$
$Current=\frac{chargeofelectorn}{Timefor1revolution}=\frac{1.6\times {10}^{-19}\times 2.18\times {10}^6}{2\times \pi \times 0.529\times {10}^{-10}}Amp$
$\Rightarrow Current=1.05\times {10}^{-3}Amp$
$\Rightarrow Current={10}^{-3}Amp$