A tuning fork vibrating at frequency 800 Hz produces resonance in a resonance column tube. The upper end is open and the lower end is closed by the water surface which can be varied. Successive resonances are observed at lengths 9.75 cm, 31.25 cm and 52.75 cm. Calculate the speed of sound in air from these data.

Explanation

To calculate the speed of sound in air using the given data, we will follow these steps:

### Step 1: Identify the lengths of the resonance
The lengths at which successive resonances occur are given as:
- \( L_1 = 9.75 \, \text{cm} \)
- \( L_2 = 31.25 \, \text{cm} \)
- \( L_3 = 52.75 \, \text{cm} \)

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