The speed of sound in air at `0^@`C is nearly :

Options

A. `1450 ms^(-1)`
B. `450 ms^(-1)`
C. `5100 ms^(-1)`
D. `330ms^(-1)`

Explanation

To find the speed of sound in air at `0°C`, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**: The speed of sound in air varies with temperature. It is known that the speed of sound increases by approximately 0.6 meters per second for every degree Celsius increase in temperature.

2. **Reference Speed**: The speed of sound in air at a standard temperature of `20°C` is approximately `343 meters per second`.

3. **Calculate the Change in Temperature**: Since we want to find the speed of sound at `0°C`, we need to calculate the difference in temperature from `20°C` to `0°C`. This is a decrease of `20°C`.

4. **Calculate the Decrease in Speed**: For every degree Celsius decrease, the speed of sound decreases by `0.6 meters per second`. Therefore, for a decrease of `20°C`, the total decrease in speed will be:
\[ \text{Decrease} = 20°C \times 0.6 \, \text{m/s/°C} = 12 \, \text{m/s} \]

5. **Determine the Speed at `0°C`**: Now, we subtract the decrease from the speed at `20°C`:
\[ \text{Speed at } 0°C = 343 \, \text{m/s} - 12 \, \text{m/s} = 331 \, \text{m/s} \]

6. **Final Result**: Therefore, the speed of sound in air at `0°C` is approximately `331 meters per second`.

### Summary:
The speed of sound in air at `0°C` is about `331 meters per second`.

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