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A sonometer wire of 1 m length is divide...

A sonometer wire of 1 m length is divided into two parts by a movable bridge. The two parts differ by 3mm and produce two beats per second when sounded together. Find their frequencies.

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To solve the problem, we need to find the frequencies of the two parts of the sonometer wire. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand the problem We have a sonometer wire of length 1 meter (100 cm) divided into two parts by a movable bridge. The lengths of the two parts differ by 3 mm (0.3 cm), and they produce 2 beats per second when sounded together. ### Step 2: Set up equations for lengths Let the lengths of the two parts be \( l_1 \) and \( l_2 \). We know: 1. \( l_1 + l_2 = 100 \) cm (total length of the wire) ...
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