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

Check the accuracy of the relation `v=(1)/(2l)sqert((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 will use dimensional analysis. Here’s a step-by-step solution: ### Step 1: Identify the dimensions of each variable 1. **Frequency (v)**: The dimension of frequency is time inverse, which can be expressed as: \[ [v] = T^{-1} \] ...
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