Assertion: The electromagnetic waves of shorter wavelength can travel longer distances on earth's surface thane those of longer of longer wavelengths.
Reason: Shorter the wavelength, the larger is the velocity of wave propagation. Also, shorter the wavelength, shorter is the velocity of wave propagation.

Options

A. Statetment-I is True, Statement-II is True , Statement-II is a correct explanation for Statement-I
B. Statement-I is True, Statement-II is True , Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is True, Statement-II is False
D. Statement-I is False, Statement-II is True

Answer

To analyze the given assertion and reason, we will break down the statements step by step.

### Step 1: Understanding the Assertion
The assertion states that "the electromagnetic waves of shorter wavelength can travel longer distances on Earth's surface than those of longer wavelengths."

- **Explanation**: Electromagnetic waves can be affected by various factors such as diffraction, absorption, and scattering. Shorter wavelengths tend to diffract less compared to longer wavelengths. This means that they are less likely to bend around obstacles and lose energy, allowing them to maintain their strength over longer distances.

### Step 2: Evaluating the Reason
The reason provided is twofold:
1. "Shorter the wavelength, the larger is the velocity of wave propagation."
2. "Shorter the wavelength, shorter is the velocity of wave propagation."

- **Explanation**: The first part of the reason is incorrect. The velocity of electromagnetic waves in a vacuum is constant (approximately \(3 \times 10^8\) m/s) and does not depend on the wavelength. The second part of the reason is also incorrect because it contradicts the first part. Therefore, the overall reason is false.

### Step 3: Conclusion
Based on the analysis:
- The assertion is true: Shorter wavelengths can travel longer distances due to less diffraction and energy loss.
- The reason is false: The velocity of electromagnetic waves does not increase with shorter wavelengths.

### Final Answer
- The assertion is true, but the reason is false.