Question

Assertion (A): In Bohr model of hydrogen atom, the energy levels are discrete and quantised.

Reason (R): In a hydrogen atom, the electrostatic force on the electron provides the necessary centripetal force to it to revolve around the nucleus.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (А).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (А).

• Assertion (A) is true, but Reason (R) is false.

• Both Assertion (A) and Reason (R) are false.

Answer 1

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (А).

Explanation:

The quantized (discrete) nature of hydrogen electron energy levels is accurately described by the Bohr model. The quantization of energy, which results from the quantization of angular momentum (L = nh/2π), is not explained by the electrostatic force, even though it serves as the centripetal force for an electron orbit.

Assertion (A) is true. The energy levels in a Bohr atom are discrete (E_n) = `-13.6/n^2` eV.

Reason (R) is true. The electrostatic force (F_e) provides the centripetal force (F_c), holding the electron in orbit. Both are true, but the reason does not explain why energy is quantized