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NEET Sample Paper NEET Sample Test Paper-32

  • question_answer
    A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of M is:-

    A)  \[25\text{ }kg\]             

    B)  \[5\text{ }kg\]

    C)  \[12.5\text{ }kg\]           

    D)  \[\frac{1}{25}\,\,kg\]

    Correct Answer: A

    Solution :

    \[n=\frac{P}{2\ell }\,\sqrt{\frac{T}{m}}\] No. of loops = No. of antinodes \[{{n}_{1}}=\frac{5}{2\ell }\sqrt{\frac{9g}{m}},\]     \[{{n}_{2}}=\frac{3}{2\ell }\sqrt{\frac{Mg}{m}}\] \[\because \] \[{{n}_{1}}={{n}_{2}}\Rightarrow \,\frac{5}{2\ell }\sqrt{\frac{9g}{m}}=\frac{3}{2\ell }\sqrt{\frac{Mg}{m}}\Rightarrow M=25\,kg\]


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