Statement-`1` : A cloudy night is hotter than a clear sky night.
Statement-`2`: Clouds are bad absorbers of heat.

Options

A. Statement -`1` is True , Statement -`2` is True , Statement -`2` is correct explanation for Statement - `1`
B. Statement -`1` is True , Statement -`2` is True , Statement -`2` is not correct explanation for Statement - `1`
C. Statement -`1` is True , Statement -`2` is False.
D. Statement -`1` is False , Statement -`2` is True.

Answer

To analyze the statements provided, we can break down the reasoning step by step.

### Step 1: Understanding Statement 1
**Statement 1**: A cloudy night is hotter than a clear sky night.

- During the day, the Earth absorbs heat from the Sun. At night, this heat begins to escape into the atmosphere and eventually into space.
- On a clear night, without clouds, this heat can escape more easily into space, leading to cooler temperatures.
- On a cloudy night, clouds act as an insulating layer, preventing some of this heat from escaping. Therefore, the temperature remains relatively higher compared to a clear night.

### Step 2: Understanding Statement 2
**Statement 2**: Clouds are bad absorbers of heat.

- Clouds are primarily composed of water vapor and tiny water droplets. They do not absorb heat effectively compared to solid surfaces or the ground.
- Instead of absorbing heat, clouds reflect some of the heat back towards the Earth, which contributes to the insulating effect mentioned in Statement 1.

### Step 3: Conclusion
- Since clouds prevent heat from escaping during the night, it is indeed true that a cloudy night is hotter than a clear night.
- Additionally, clouds being bad absorbers of heat supports the idea that they act as an insulating layer rather than allowing heat to escape.

### Final Answer
Both statements are true, and Statement 2 provides a correct explanation for Statement 1. Therefore, the answer is that both statements are true, and Statement 2 is the correct explanation for Statement 1.