A whistle S of frequency f revolves in a circ | vedclass

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

Question

(A) The Doppler effect formula for a moving source and a stationary detector is $f' = f \left( \frac{c}{c - v_s} \right)$,where $v_s$ is the component

Vedclass · Accepted Answer

$\left( \frac{c + v}{c - v} \right)$

Vedclass · Answer

(A) The Doppler effect formula for a moving source and a stationary detector is $f' = f \left( \frac{c}{c - v_s} \right)$,where $v_s$ is the component of the source velocity along the line joining the source and the detector.In this circular motion,the velocity $v$ of the source is always tangential to the circle.The maximum frequency $f_{max}$ is detected when the source velocity component is directed towards the detector. This occurs when the velocity vector is along the line of sight. The component of velocity towards the detector is $v$. Thus,$f_{max} = f \left( \frac{c}{c - v} \right)$.The minimum frequency $f_{min}$ is detected when the source velocity component is directed away from the detector. This occurs when the velocity vector is along the line of sight. The component of velocity away from the detector is $v$. Thus,$f_{min} = f \left( \frac{c}{c + v} \right)$.The ratio of the largest to the smallest frequency is $\frac{f_{max}}{f_{min}} = \frac{f \left( \frac{c}{c - v} \right)}{f \left( \frac{c}{c + v} \right)} = \frac{c + v}{c - v}$.

$A$ whistle $S$ of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v$. What is the ratio of the largest and smallest frequency detected by a detector $D$ at rest at a distance $2R$ from the center of the circle as shown in the figure? (Take $c$ as the speed of sound.)

Similar Questions

When a body is taken from the pole to the equator,its weight:

What does the given diagram of enzyme action represent?

If $A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 2 \\ 0 & 0 & 4 \end{bmatrix}$,then show that $|3A| = 27|A|$.

Equation of one of the tangents passing through $(2,8)$ to the hyperbola $5 x^2-y^2=5$ is

Find the value$(s)$ of $k$ such that the distance between the two parallel lines represented by $(x-2y)^2 + k(x-2y) = 0$ is $3$ units.

Vedclass Test Series

Exam Paper Generator

Online Exam Module