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In a sonometer experiment a mass of 180 g attached to the string makes it vibrate at a fundamental frequency of 30 Hz. With a mass m attached, the fundamental frequency is 50 Hz. The value of m is ______ g.

Asked in JEE Main 13th April 2nd Shift 2023 · Sonometer

Answer: 500

Step-by-step solution

The tension is the hanging weight, and f∝√T∝√m for a given wire and length.

m/(180)=((50)/(30))²=(25)/9, so m=180×(25)/9=500 g.

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