The frequency of the fourth harmonic in a stretched string of length 20 cm is 500 Hz. (i) Calculate the velocity of the wave in the string? (ii) For what value of tension, will the velocity in the string be 100 `ms^(-1)?`

Explanation

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (i): Calculate the velocity of the wave in the string.

1. **Identify the given values**:
- Length of the string, \( L = 20 \, \text{cm} = 0.2 \, \text{m} \)
- Frequency of the fourth harmonic, \( f_4 = 500 \, \text{Hz} \)

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