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NEET Physics Simple Harmonic Motion NEET PYQ-Simple Harmonic Motion

  • question_answer
    Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beat/s when both the wires oscillate together would be                                                                                                                                    [AIPMT (M) 2011]

    A)  0.02    

    B)       0.03    

    C)  0.04   

    D)       0.01

    Correct Answer: A

    Solution :

    According to law of tension the frequency of the string varies directly as the square root of its tension
                \[n\propto \sqrt{T}\]
                \[\frac{\Delta n}{n}=\frac{1}{2}.\frac{\Delta T}{T}\]
    or         \[\frac{\Delta T}{T}=2\times \frac{\Delta n}{n}\]
                \[\frac{\Delta T}{T}=2\times \frac{6}{600}\]
                \[=0.02\]


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