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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    Two identical sonometer wires have fundamental frequencies of 500 Hz, when kept under the same tension. What fractional increase in tension of one wire would cause an Occurrence of 5 beats per sec. When both wires vibrate together -

    A) 1.020

    B)                    0.020

    C)                    1.20

    D)                    0.20

    Correct Answer: B

    Solution :

    \[n\,\,=\,\,\frac{1}{2\ell }\,\,\sqrt{\frac{T}{m}}\] \[n+5\,=\,\frac{1}{2\ell }\,\,\sqrt{\frac{T+\Delta T}{m}}\] \[\therefore \,\,\,\,\frac{n+5}{n}=\,\,\,\sqrt{\frac{T+\Delta T}{T}}\] \[\Rightarrow \,\,\,1+\frac{\Delta T}{T}\,=\,{{\left( 1+\frac{5}{n} \right)}^{2}}\,\,=\,\,1+\frac{10}{500}\] \[\Rightarrow \,\,\,\frac{\Delta T}{T}\,=\,\,\left( \frac{10}{500} \right)\,\,=\,\,0.020\]


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