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A turning fork is sounded together with a stretched sonometer wire of length 50 cm. When the tension in the wire is 100 N, 4 beats are heard. Find the frequency of the tuning fork if the same number of beats are heard when the tention in the wire reduced to 81 N.

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To solve the problem step by step, we will use the information provided about the tuning fork and the sonometer wire. ### Step 1: Understand the problem We have a tuning fork and a sonometer wire of length \( L = 50 \, \text{cm} = 0.5 \, \text{m} \). The tension in the wire is changed from \( T_1 = 100 \, \text{N} \) to \( T_2 = 81 \, \text{N} \), and in both cases, 4 beats are heard. We need to find the frequency of the tuning fork, denoted as \( F_T \). ### Step 2: Write the formula for frequency of the sonometer wire The frequency of the sonometer wire can be expressed as: \[ ...
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