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STD 11 - 14. waves and sound — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 14. waves and sound4 Marks
MCQ
$A$ 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
  • A
    Same that of $A$
  • B
    Twice as that of $A$
  • C
    Four times as that of $A$
  • ✓
    Eight times as that of $A$
✓

Answer

Correct option: D.
Eight times as that of $A$
d
(d) Energy $ \propto \,\,{a^2}{n^2}$

==> $\frac{{{a_B}}}{{{a_A}}} = \frac{{{n_A}}}{{{n_B}}}$ ($\because$  energy is same)

==> $\frac{{{a_B}}}{{{a_A}}} = \frac{8}{1}$

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