Question

Assertion (A): The potential energy of an electron revolving in any stationary orbit in a hydrogen atom is positive.
Reason (R): The total energy of a charged particle is always positive.

• A. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
• B. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
• C. Assertion (A) is true, but Reason (R) is false.
• D. Assertion (A) is false and Reason (R) is also false.

Hint:

In atomic physics, the total energy of an electron in a hydrogen atom is negative, as it is a bound state.

Answer 1

The Correct Option is D

This query concerns the analysis of an electron's potential and total energy within a hydrogen atom, based on atomic physics principles:

• Assertion (A): An electron in a hydrogen atom possesses negative potential energy. This negativity stems from the electron being bound to the nucleus by the Coulomb attractive force.
• Reason (R): In bound states, the total energy of an electron in a hydrogen atom is also negative. This total energy is the aggregate of kinetic and potential energies. Given that the potential energy is negative and its magnitude exceeds that of the positive kinetic energy, their sum results in a negative value.

Consequently, both the assertion and the provided reason are factually inaccurate. The definitive conclusion is: Assertion (A) is false, and Reason (R) is also false.