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

The question involves analyzing the potential and total energy of an electron in a hydrogen atom. According to principles of atomic physics:

• Assertion (A): The potential energy of an electron in a hydrogen atom is actually negative. This is because the electron is bound to the nucleus by the attractive Coulomb force, resulting in negative potential energy.
• Reason (R): The total energy of an electron in a hydrogen atom is also negative in bound states. The total energy is the sum of kinetic and potential energies. Since potential energy is negative and in magnitude greater than the positive kinetic energy, the sum is negative.

Therefore, both the assertion and the reason provided are incorrect. Hence, the correct answer is:

Assertion (A) is false and Reason (R) is also false.