A vibrating tuning fork is moving slowly and | vedclass

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

Question

(C) The apparent frequency is maximum when the component of the velocity of the source along the line joining the source and the observer is maximum t

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(C) The apparent frequency is maximum when the component of the velocity of the source along the line joining the source and the observer is maximum towards the observer.Let $O$ be the position of the observer and $C$ be the center of the circular path. The distance from the observer to the center is $OC = 9 + 8 = 17 \, m$.Let $P$ be the position of the tuning fork on the circle. The velocity vector $V_s$ of the tuning fork is tangential to the circle at $P$. The component of $V_s$ along $OP$ is maximum when the angle between $OP$ and the velocity vector $V_s$ is zero,or more simply,when the line $OP$ is tangent to the circle at $P$.In this configuration,$	riangle OPC$ is a right-angled triangle with the right angle at $P$ (since the radius $CP$ is perpendicular to the tangent $OP$).Using the Pythagorean theorem in $	riangle OPC$:$OP^2 + CP^2 = OC^2$$OP^2 + 8^2 = 17^2$$OP^2 = 289 - 64 = 225$$OP = \sqrt{225} = 15 \, m$.

Similar Questions

An observer is moving towards a stationary source of sound. In this case:

When a car is approaching the observer,the frequency of the horn is $100 \, Hz$. After passing the observer,it is $50 \, Hz$. If the observer moves with the car,the frequency will be $\frac{x}{3} \, Hz$ where $x = .....$

An engine moving towards a wall with a velocity $50 \ m/s$ emits a note of $1.2 \ kHz$. The speed of sound in air is $350 \ m/s$. The frequency of the note after reflection from the wall as heard by the driver of the engine is: (in $kHz$)

$A$ student holds a tuning fork oscillating at $170 \,Hz$. He walks towards a wall at a constant speed of $2 \,ms^{-1}$. The beat frequency observed by the student between the tuning fork and its echo is (Velocity of sound $=340 \,ms^{-1}$ ) (in $\,Hz$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module