In an experiment to determine the speed of sound, a student stands 150 m from a wall and claps. When he claps once, what is the time interval between the sound of the clap and its echo heard by the student, in terms of v, the speed of sound?

Options

A. `(150m)/v`
B. `(200m)/v`
C. `(300m)/v`
D. `(335m)/v`

Explanation

To determine the time interval between the sound of the clap and its echo heard by the student, we can follow these steps:

### Step 1: Understand the scenario
The student claps, producing a sound that travels to the wall and reflects back to the student. The distance from the student to the wall is 150 meters.

### Step 2: Calculate the total distance traveled by the sound
The sound travels to the wall and back to the student. Therefore, the total distance traveled by the sound is:
\[ \text{Total Distance} = \text{Distance to Wall} + \text{Distance back} = 150 \, \text{m} + 150 \, \text{m} = 300 \, \text{m} \]

### Step 3: Use the speed of sound to find the time taken
The speed of sound is given as \( v \) (in meters per second). The time taken for the sound to travel this total distance can be calculated using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting the values we have:
\[ \text{Time} = \frac{300 \, \text{m}}{v} \]

### Step 4: Final expression for the time interval
Thus, the time interval between the sound of the clap and its echo heard by the student is:
\[ \text{Time Interval} = \frac{300}{v} \, \text{seconds} \]

### Summary
The time interval between the sound of the clap and its echo is \( \frac{300}{v} \) seconds.