Wave Mechanics Question 1091

Question: 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]

Options:

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

Show Answer

Answer:

Correct Answer: D

Solution:

Energy $ \propto ,,a^{2}n^{2} $

Therefore $ \frac{a _{B}}{a _{A}}=\frac{n _{A}}{n _{B}} $ ($ \because $ energy is same)

Therefore $ \frac{a _{B}}{a _{A}}=\frac{8}{1} $