Question

In Bohr's model of hydrogen atom the electron moves around the nucleus in a circular orbit of radius $5\times {10}^{-11}$ metres. Its time period is $1.5\times {10}^{-16}$ second. The current associated with the electron motion is

• A. 0
• B. $1.6\times {10}^{-19}$A
• C. 0.17A
• D. $1.7\times {10}^{-3}$A

Answer 1

The correct option is D $1.7\times {10}^{-3}$A

In one complete rotation of electron about the nucleus, electron passes once.

Hence, in one time period, charge passes through each point $=e$.

Hence, $i=\frac{e}{t}=\frac{1.6\times {10}^{-19}}{1.5\times {10}^{-16}}$

$⟹i=1.7\times {10}^{-3}A$

Answer-(D)