Calculate the velocity of sound when two resonance tubes 100 cm and 102 cm give 40 beats in 25 seconds sounding with fundametnal mode.

Explanation

To solve the problem, we need to calculate the velocity of sound using the information provided about two resonance tubes. Here’s a step-by-step solution:

### Step 1: Understand the Problem
We have two resonance tubes with lengths \( L_1 = 100 \, \text{cm} \) and \( L_2 = 102 \, \text{cm} \). They produce 40 beats in 25 seconds. We need to find the velocity of sound \( V \).

### Step 2: Calculate the Beat Frequency
The beat frequency \( f_b \) is given by the formula:
\[
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