Question

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The zero point energy is $\frac{1}{2}h\theta$, it is the lowest value of the energy of the Harmonic Oscillator. Reason (R) : Harmonic Oscillator is in equilibrium with its surroundings, it is called zero-point as it corresponds to an energy $E=E_0$ and not to $E=0$ when the external temperature approaches to $0 \text{ K}$. In the light of the above statements, choose the most appropriate answer from the options given below :

• A. Both (A) and (R) are correct and (R) is the correct explanation of (A)
• B. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
• C. (A) is correct but (R) is not correct
• D. (A) is not correct but (R) is correct

Hint:

Zero-point energy is a consequence of the Heisenberg Uncertainty Principle; if a particle had zero energy, both its position and momentum would be known perfectly, which is impossible.

Answer 1

The Correct Option is A