Statement-1 : Frequency of kinetic energy of SHM is double that of frequency of SHM.
Statement-2. In SHM the velocity is ahead of displacement by a phase angle of `(pi)/2`.

Options

A. Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.
C. Statement-1 is true but statement-2 is false
D. Statement-1 is false, Statement-2 is true

Explanation

To analyze the statements and determine their validity, let's break down the information step by step.

### Step 1: Understanding Statement 1
**Statement 1:** The frequency of kinetic energy of SHM is double that of frequency of SHM.

- In Simple Harmonic Motion (SHM), an object oscillates back and forth. The kinetic energy (KE) of the object varies with time as it moves through its oscillation.
- The maximum kinetic energy occurs when the object passes through the equilibrium position.
- For each complete oscillation (one full cycle), the object reaches maximum kinetic energy twice: once while moving in one direction and once while moving in the opposite direction.
- Therefore, the frequency of the kinetic energy is indeed double that of the frequency of the SHM.

**Conclusion for Statement 1:** True.

### Step 2: Understanding Statement 2
**Statement 2:** In SHM, the velocity is ahead of displacement by a phase angle of π/2.

- The displacement in SHM can be expressed as:
\[ x(t) = A \sin(\omega t + \phi) \]
where \(A\) is the amplitude, \(\omega\) is the angular frequency, and \(\phi\) is the phase constant.

- To find the velocity, we differentiate the displacement with respect to time:
\[ v(t) = \frac{dx}{dt} = A \omega \cos(\omega t + \phi) \]

- The cosine function can be rewritten in terms of sine:
\[ v(t) = A \omega \sin\left(\omega t + \phi + \frac{\pi}{2}\right) \]

- This shows that the velocity is indeed ahead of the displacement by a phase angle of \(\frac{\pi}{2}\).

**Conclusion for Statement 2:** True.

### Step 3: Analyzing the Relationship Between the Statements
- While both statements are true, Statement 2 does not explain why the frequency of kinetic energy is double that of the frequency of SHM.
- The frequency of kinetic energy being double is due to the fact that the object reaches maximum kinetic energy twice in one cycle, which is a separate concept from the phase relationship between displacement and velocity.

### Final Conclusion
- **Statement 1:** True
- **Statement 2:** True
- **Explanation:** Statement 2 is not a correct explanation for Statement 1.

### Answer:
Both statements are true, but Statement 2 is not a correct explanation for Statement 1.