Two identical sound waves each of loudness - interfere constructively at a point to produce a sound level of

You visited us 91 times! Enjoying our articles? Unlock Full Access!

The Effect of Path Difference

Two identical...

Question

Two identical sound waves each of loudness $β$ interfere constructively at a point to produce a sound level of

6 β

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 β

No worries! We‘ve got your back. Try BYJU‘S free classes today!

β + 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

β + 6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $β + 6$
Let the intensity of sound wave from source be I'
Then the intensity of sound wave formed due to constructive interference =4I'

We know that L=10log $_{10} \frac{I}{I_{0}}$ where $I_{0}$ is constant.
Thus, $β = l o g_{10} (\frac{I^{'}}{I_{0}})^{10}$
So, Required L= $l o g_{10} (\frac{4 I^{'}}{I_{0}})^{10}$ = $β + 6$

Suggest Corrections

Similar questions

Two coherent sources of intensity ratio $β$ interfere. Find the ratio $\frac{[I_{m a x} - I_{m i n}]}{[I_{m a x} + I_{m i n}]}$ in the interference pattern.

If 3 s i n β + 5 c o s β = 5, t h e n 3 c o s β - 5 s i n β

is equal to?

Q. Show that the sound level,

β

, can be written in terms of the pressure amplitude,

Δ P_{M}

, as

β (d B) = 20 log \frac{Δ P_{M}}{Δ P_{M_{0}}}

where

Δ P_{M_{0}}

is the pressure amplitude at some reference level.

Q. Two identical nuclei

A

and

B

of the same radioactive element undergo

β^{-}

decay.

A

emits a

β^{-}

particle and changes to

A^{^{'}}

B

emits a

β^{-}

particle and then a

γ

-photon and changes to

B^{^{'}}

Q. Two real numbers

α

β

are such that

α + β = 3, α - β = 4

, then

α

β

are the roots of the quadratic

Join BYJU'S Learning Program

Two identical sound waves each of loudness β interfere constructively at a point to produce a sound level of

The correct option is D β+6Let the intensity of sound wave from source be I'Then the intensity of sound wave formed due to constructive interference =4I'We know that L=10log10II0 where I0 is constant.Thus, β=log10(I′I0)10 So, Required L=log10(4I′I0)10=β+6

Two identical sound waves each of loudness $β$ interfere constructively at a point to produce a sound level of