In the experinment for the determinnation of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fu ndamental mode , with a tuning fork is `0.1 m` . When this length is changed to `0.35m` , the same tuning fork resonates with the first overtone. Calculate the end correction.
(a) `0.012 m`
(b) `0.0025 m`
(c) `0.05 m`
(d) `0.024 m`

Explanation

To solve the problem of determining the end correction in the resonance column method for sound waves, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Resonance Column Method**:
- In the fundamental mode of resonance, the length of the air column (L1) plus the end correction (X) is equal to one-fourth of the wavelength (λ).
- This can be expressed as:
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