A pipe is closed at one end by a membrane which may be considered a seat of displacement node and is set to sonic oscillations of frequency `2000 Hz`. Find the velocity of sound if on moving the piston , resonance occurs at the interval of `8.5 cm`.

Explanation

To solve the problem, we need to find the velocity of sound in a pipe closed at one end, given the frequency and the distance between two resonance positions. Here’s the step-by-step solution:

### Step 1: Understand the Problem
The pipe is closed at one end, creating a displacement node at the closed end and a displacement antinode at the open end. The resonance occurs at specific intervals when the piston is moved.

### Step 2: Identify Given Data
- Frequency (f) = 2000 Hz
- Distance between two resonance positions (ΔL) = 8.5 cm = 0.085 m (conversion from cm to m)
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