JEE Main & Advanced Physics Wave Mechanics Question Bank Musical Sound

  • question_answer
    A is singing a note and at the same time B is singing a note with exactly one-eighth the frequency of the note of A. The energies  of two sounds are equal, the amplitude of the note of B is               [NCERT 1981; AIIMS 2001]

    A)            Same that of A                    

    B)            Twice as that of A

    C)            Four times as that of A    

    D)            Eight times as that of A

    Correct Answer: D

    Solution :

                       Energy \[\propto \,\,{{a}^{2}}{{n}^{2}}\]Þ \[\frac{{{a}_{B}}}{{{a}_{A}}}=\frac{{{n}_{A}}}{{{n}_{B}}}\]                    (\[\because \] energy is same)                    Þ \[\frac{{{a}_{B}}}{{{a}_{A}}}=\frac{8}{1}\]


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