JEE Mains · Physics · STD 11 - 14. waves and sound
In an experiment with sonometer when a mass of \(180\,g\) is attached to the string, it vibrates with fundamental frequency of \(30\,Hz\). When a mass \(m\) is attached, the string vibrates with fundamental frequency of \(50\,Hz\). The value of \(m\) is \(.........\,g\).
- A \(400\)
- B \(500\)
- C \(300\)
- D \(200\)
Answer & Solution
Correct Answer
(B) \(500\)
Step-by-step Solution
Detailed explanation
\(f =\frac{1}{2 \ell} \sqrt{\frac{ T }{\mu}} \quad( T : \text { Tension })\) \(\frac{ f _2}{ f _1}=\sqrt{\frac{ T _2}{ T _1}}\) \(\left(\frac{50}{30}\right)^2=\frac{ mg }{180 g } \Rightarrow m =\frac{25}{9} \times 180=500 \text { gram }\)
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