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} $