An aeroplane travelling at the speed of sound will have a velocity of

Options

A. `100 km h^(-1)`
B. `1188 km h^(-1)`
C. `1540 km h^(-1)`
D. `1620 km h^(-1)`

Explanation

To solve the question about the velocity of an aeroplane travelling at the speed of sound, we can follow these steps:

### Step 1: Understand the Speed of Sound
The speed of sound in air is approximately 330 meters per second (m/s).

### Step 2: Convert Speed of Sound to Kilometers per Hour
To convert the speed from meters per second to kilometers per hour, we use the conversion factor:
\[ 1 \text{ m/s} = 3.6 \text{ km/h} \]
Thus, we can calculate the speed of sound in km/h:
\[ \text{Speed of Sound} = 330 \text{ m/s} \times 3.6 \text{ km/h per m/s} \]

### Step 3: Perform the Calculation
Now, let's perform the multiplication:
\[ 330 \times 3.6 = 1188 \text{ km/h} \]

### Step 4: Conclusion
Therefore, the velocity of an aeroplane travelling at the speed of sound is 1188 km/h.

### Final Answer
The correct answer is 1188 km/h.

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