Two sources of sound are emitting progressive | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given equations are $y_1 = 4 \sin(710 \pi t)$ and $y_2 = 3 \sin(702 \pi t)$.Comparing these with $y = A \sin(2 \pi f t)$,we get:$2 \pi f_1 = 7

Vedclass · Accepted Answer

$4, 49:1$

Vedclass · Answer

(C) The given equations are $y_1 = 4 \sin(710 \pi t)$ and $y_2 = 3 \sin(702 \pi t)$.Comparing these with $y = A \sin(2 \pi f t)$,we get:$2 \pi f_1 = 710 \pi \implies f_1 = 355 	ext{ Hz}$$2 \pi f_2 = 702 \pi \implies f_2 = 351 	ext{ Hz}$The number of beats per second is $n = |f_1 - f_2| = |355 - 351| = 4 	ext{ beats/s}$.The amplitudes are $A_1 = 4$ and $A_2 = 3$.The maximum intensity (waxing) is proportional to $(A_1 + A_2)^2 = (4 + 3)^2 = 7^2 = 49$.The minimum intensity (waning) is proportional to $(A_1 - A_2)^2 = (4 - 3)^2 = 1^2 = 1$.Therefore,the intensity ratio is $49:1$.The correct answer is $4, 49:1$.

Two sources of sound are emitting progressive waves $y_1 = 4 \sin(710 \pi t)$ and $y_2 = 3 \sin(702 \pi t)$. The sources are placed close to each other. The number of beats heard per second and the intensity ratio between waxing and waning are respectively:

Similar Questions

When temperature increases,the frequency of a tuning fork

The minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when

Two identical stringed instruments have a frequency of $100 \ Hz$. If the tension in one of them is increased by $4\%$ and they are sounded together,then the number of beats produced in one second is:

The intensity of a sound appears to an observer to be periodic. Which of the following can be the cause of it?

Two tuning forks $A$ and $B$ sounded together give $6$ beats per second. With an air resonance tube closed at one end,the two forks give resonance when the two air columns are $24 \, cm$ and $25 \, cm$ respectively. Calculate the frequencies of the forks.

Vedclass Test Series

Exam Paper Generator

Online Exam Module