At what speed should a source of sound move s | vedclass

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

Question

(D) The formula for the apparent frequency $f'$ heard by a stationary observer when the source moves away with velocity $v_s$ is given by: $f' = f \le

Vedclass · Accepted Answer

$V$

Vedclass · Answer

(D) The formula for the apparent frequency $f'$ heard by a stationary observer when the source moves away with velocity $v_s$ is given by: $f' = f \left( \frac{V}{V + v_s} \right)$,where $V$ is the speed of sound and $f$ is the original frequency.Given that the apparent frequency is half the original frequency,we have $f' = \frac{f}{2}$.Substituting this into the equation: $\frac{f}{2} = f \left( \frac{V}{V + v_s} \right)$.Canceling $f$ from both sides: $\frac{1}{2} = \frac{V}{V + v_s}$.Cross-multiplying gives: $V + v_s = 2V$.Solving for $v_s$: $v_s = 2V - V = V$.Therefore,the source must move at a speed equal to the speed of sound,$V$.

At what speed should a source of sound move so that the observer finds the apparent frequency equal to half the original frequency?

Similar Questions

When the source of sound moves towards a stationary observer,the wavelength of sound received by him

The pitch of the whistle of an engine appears to drop by $20 \%$ of its original value when it passes a stationary observer. If the speed of sound in air is $350 \ m/s$,then the speed of the engine in $m/s$ is:

$A$ musician using an open flute of length $50\,cm$ produces second harmonic sound waves. $A$ person runs towards the musician from another end of a hall at a speed of $10\,km/h.$ If the wave speed is $330\,m/s,$ the frequency heard by the running person shall be close to...... $Hz$

Obtain the equation for the frequency observed by a stationary observer when the source is moving.

$A$ driver in a car,approaching a vertical wall,notices that the frequency of his car horn has changed from $440 \, Hz$ to $480 \, Hz$ when it gets reflected from the wall. If the speed of sound in air is $345 \, m/s,$ then the speed of the car is $....... \, km/hr$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module