The distance between two consecutive crests in a wave train produced in string is 5 m. If two complete waves pass through any point per second, the velocity of wave is :-

Options

A. 2.5 m/s
B. 5 m/s
C. 10 m/s
D. 15 m/s

Explanation

To solve the problem, we need to find the velocity of the wave given the distance between two consecutive crests (wavelength) and the frequency of the wave. Here’s a step-by-step solution:

### Step 1: Identify the Wavelength
The distance between two consecutive crests is given as 5 meters. This distance represents the wavelength (λ) of the wave.

**Wavelength (λ) = 5 m**

### Step 2: Determine the Frequency
We are told that two complete waves pass through a point per second. This means the frequency (ν) of the wave is 2 Hz.

**Frequency (ν) = 2 Hz**

### Step 3: Use the Wave Velocity Formula
The velocity (v) of a wave can be calculated using the formula:

\[ v = ν \times λ \]

Where:
- \( v \) is the wave velocity,
- \( ν \) is the frequency,
- \( λ \) is the wavelength.

### Step 4: Substitute the Values
Now, we can substitute the values of frequency and wavelength into the formula:

\[ v = 2 \, \text{Hz} \times 5 \, \text{m} \]

### Step 5: Calculate the Velocity
Now, perform the multiplication:

\[ v = 10 \, \text{m/s} \]

### Final Answer
The velocity of the wave is:

**Velocity (v) = 10 m/s**

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