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Check the accuracy of the relation v=(1...

Check the accuracy of the relation `v=(1)/(2l)sqrt((T)/(m))`,where v is the frequency, l is legth, T is tension and m is mass per unit legth of the string.

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To check the accuracy of the relation \( v = \frac{1}{2l} \sqrt{\frac{T}{m}} \), where \( v \) is the frequency, \( l \) is the length, \( T \) is the tension, and \( m \) is the mass per unit length of the string, we need to compare the dimensions of both sides of the equation. ### Step-by-Step Solution: 1. **Identify the Left-Hand Side (LHS):** - The left-hand side of the equation is \( v \), which represents frequency. - The dimension of frequency \( v \) is given by: \[ ...
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