A resonance tube is resonated with tuning fork of frequency 512 Hz. Two successive lengths of the resonated air column are 16.0 cm and 51.0cm. The experiment is performed at room temperature of `40^(@)C`. Calculate speed of sound at `0^(@)C` and end correction.

Explanation

To solve the problem step by step, we will follow the outlined procedure based on the information provided.

### Step 1: Identify the lengths of the resonated air column
We have two successive lengths of the resonated air column:
- \( L_1 = 16.0 \, \text{cm} = 0.16 \, \text{m} \)
- \( L_2 = 51.0 \, \text{cm} = 0.51 \, \text{m} \)

### Step 2: Determine the wavelength
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