Question

In the hydrogen atom, the electron is moving around the nucleus with velocity $2.18 \, \times \, 10^{6} \, m \, s^{- 1}$ in an orbit of radius $0.528 \, \overset{^\circ }{A}$ . The acceleration of the electron is

• A. $9 \, \times 10^{18} \, m \, s^{- 2}$
• B. $9 \, \times \, 10^{22} \, m \, s^{- 2}$
• C. $9 \, \times \, 10^{- 22} \, m \, s^{- 2}$
• D. $9 \, \times \, 10^{12} \, m \, s^{- 2}$

Answer 1

Answer: (B)

Given, $v=2.18 \, \times 10^{6} \, m \, s^{- 1}, \, r=0.528 \, \times \, 10^{- 10 \, }m$
Acceleration of electron moving round the nucleus
$ \, a \, =$ $\frac{\left(2.18 \, \times \left(10\right)^{6}\right)^{2}}{0.528 \, \times \left(10\right)^{- 10}}\approx$ $9 \, \times 10^{22} \, m \, s^{- 2}$