Question

In a hydrogen atom, the electron moves around the nucleus in a circular orbit of radius $5\times {10}^{-11}m$. Its time period is $1.5\times {10}^{-16}s$. The current associated with the electron motion is (Charge of electron is $1.6\times {10}^{-19}C$)

• A. $1.00A$
• B. $1.066\times {10}^{-3}A$
• C. $1.81\times {10}^{-3}A$
• D. $1.66\times {10}^{-3}A$

Answer 1

The correct option is B $1.066\times {10}^{-3}A$

Given, the charge of electron

$q=1.6\times {10}^{-19}s$

Time period $\left(t\right)=1.5\times {10}^{-16}s$

Current $\left(I\right)=\frac{q}{t}$

$I=\frac{1.6\times {10}^{-19}}{1.5\times {10}^{-16}}=1.066\times {10}^{-3}A$