A string of length L and mass M hangs freely from a fixed point . Calculate the velocity of the transverse wave along the string at any position.
(b)Calculate time taken by a transverse pulse to traverse the string.

Explanation

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

### Part (a): Calculate the velocity of the transverse wave along the string at any position.

1. **Understanding the Setup**:
We have a string of length \( L \) and mass \( M \) hanging freely from a fixed point. The string experiences tension due to its own weight.

2. **Mass per Unit Length**:
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