Question

Equivalent electric current created by electron of a H-atom in its ground using Bohr's model is nearly

• A. $2.14\times {10}^{-35}A$
• B. $4.48\times {10}^{-30}A$
• C. $24\times {10}^{-30}A$
• D. $70\times {10}^{-35}A$

Answer 1

The correct option is B $4.48\times {10}^{-30}A$

$\begin{array}{c}\text{Let, radius of}{1}^{\text{St}}\text{orbit Atom be "a\_o"}\\ \text{velocity of}{e}^{-}\text{in}{1}^{\text{st}}\text{orbit is}v\\ \text{Time period,}[T=\frac{2\pi \cdot a_0}{v}]--\left(1\right)]\end{array}$

$\begin{array}{c}\text{Electric current,}i=\frac{q}{T}\\ \text{From}\\ i=\frac{qv}{2\pi a_0}\end{array}$

$\begin{array}{c}\text{By keeping approximate experimental}\\ \text{values in above expression, we get}\\ i=4.489\times {10}^{-30}A\end{array}$