If the depth of the sea is 1.125 km, the time taken for the reflected sound to reach the sonar is (velocity of sound in water is 1500 m `s^(-1)`)

Options

A. 1
B. `1.5`
C. `2`
D. `2.5`

Explanation

To solve the problem, we need to determine the time taken for the reflected sound to reach the sonar when it is sent from the surface of the sea to the seabed and back. Here’s the step-by-step solution:

### Step 1: Convert the Depth into Meters
The depth of the sea is given as 1.125 kilometers. We need to convert this into meters since the velocity of sound is given in meters per second.

\[ \text{Depth in meters} = 1.125 \, \text{km} \times 1000 \, \text{m/km} = 1125 \, \text{m} \]

### Step 2: Calculate the Total Distance Traveled by Sound
When the sonar sends a sound wave, it travels to the seabed and then reflects back to the sonar. Therefore, the total distance traveled by the sound is twice the depth.

\[ \text{Total Distance} = 2 \times \text{Depth} = 2 \times 1125 \, \text{m} = 2250 \, \text{m} \]

### Step 3: Use the Speed of Sound to Calculate Time
We know the speed of sound in water is 1500 m/s. We can use the formula for time, which is:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Substituting the values we have:

\[ \text{Time} = \frac{2250 \, \text{m}}{1500 \, \text{m/s}} = 1.5 \, \text{s} \]

### Final Answer
The time taken for the reflected sound to reach the sonar is **1.5 seconds**.

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