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A is singing a note and at the same time B is also singing a n

Question

$A$ is singing a note and at the same time $B$ is also singing a note with $1/8 t h$ the frequency of $A$ . The energies of the two sounds are equal. The disparagement amplitude of the note if $B$ is:

same as that of

A

Twice that of

A

four times that of

A

eigth times that of

A

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A

is singing a note and at the same time

B

is also singing a note with

1/8 t h

the frequency of

A

. The energies of the two sounds are equal. The disparagement amplitude of the note if

B

is:

14 mins ago

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14 mins ago

Text solutionVerified

It is given that energy remains the same

Hence,

E_{A} = E_{B}

E n er g y \propto a^{2} n^{2} ⟹ \frac{a _{B}}{a _{A}} = \frac{n _{A}}{n _{B}}

(Energy is same)

Therefore,

(\frac{a _{A}}{a _{B}})^{2} = (\frac{n _{B}}{n _{A}})^{2}

Given,

n_{A} = n

n_{B} = \frac{n}{8}

Therefore,

\frac{n _{A}}{n _{B}} = \frac{n /8}{n} = \frac{1}{8}

⟹ a_{B} = 8 a_{A} = 8 a

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Question Text	$A$ is singing a note and at the same time $B$ is also singing a note with $1/8 t h$ the frequency of $A$ . The energies of the two sounds are equal. The disparagement amplitude of the note if $B$ is:
Answer Type	Text solution:1
Upvotes	150