Which of the following statements about the Bohr model of the hydrogen atom is false?

Which of the following statements about the Bohr model of the hydrogen atom is false?
  1. Acceleration of electron in $\mathrm{n}=2$ orbit is less than that in $n=1$ orbit.
  2. Angular momentum of electron in $\mathrm{n}=2$ orbit is more than that in $\mathrm{n}=1$ orbit.
  3. Kinetic energy of electron in $\mathrm{n}=2$ orbit is less than that in $\mathrm{n}=1$ orbit.
  4. Potential energy of electron in $\mathrm{n}=2$ orbit is less than that in $\mathrm{n}=1$ orbit.

Solution

Potential energy in $\mathrm{n}^{\text {th }}$ orbit is given by, $\begin{array}{ll} \therefore & P . E=-\frac{m_e Z^2 e^4}{4 \varepsilon_0{ }^2 \mathrm{n}^2 h^2} \\ \therefore & P . E \propto \frac{1}{\mathrm{n}^2} \end{array}$

Asked in: MHT CET 2024 (02 May Shift 2)

Practice more Structure of Atoms and Nuclei questions on Aicharya