A string is vibrating in 4 loops when a mass of 10 g is placed on a pan attached to the string. To make the string vibrate in 10 loops how much mass should be placed on the pan ?

Explanation

To solve the problem of how much mass should be placed on the pan to make the string vibrate in 10 loops, we can follow these steps:

### Step 1: Understand the relationship between mass, tension, and the number of loops.
The frequency of vibration of a string is related to the tension (T) in the string and the number of loops (n) it forms. The formula for the frequency (f) of a vibrating string is given by:

\[ f = \frac{n}{2L} \sqrt{\frac{T}{\mu}} \]
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