A vehicle with a horn of frequency n is moving with a velocity of 30 m / s in a direction perpe

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A vehicle with a horn of frequency n is moving with a...

A vehicle with a horn of frequency $\mathrm{n}$ is moving with a velocity of $30 \mathrm{~m} / \mathrm{s}$ in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency $\left(\mathrm{n}+\mathrm{n}_{1}\right) .$ If the sound velocity in air is $300 \mathrm{~m} / \mathrm{s}$, then $\ldots \ldots . .$ (A) $\mathrm{n}_{1}=10 \mathrm{n}$ (B) $\mathrm{n}_{1}=0$ (C) $\mathrm{n}_{1}=0.1 \mathrm{n}$ (D) $\mathrm{n}_{1}=-0 . \ln$

A vehicle with a horn of frequency $\mathrm{n}$ is moving with a velocity
of $30 \mathrm{~m} / \mathrm{s}$ in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency $\left(\mathrm{n}+\mathrm{n}_{1}\right) .$ If the sound velocity in air is $300 \mathrm{~m} / \mathrm{s}$, then $\ldots \ldots . .$
(A) $\mathrm{n}_{1}=10 \mathrm{n}$
(B) $\mathrm{n}_{1}=0$
(C) $\mathrm{n}_{1}=0.1 \mathrm{n}$
(D) $\mathrm{n}_{1}=-0 . \ln$

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Key Concepts

Doppler Effect

The Doppler Effect refers to the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source. For sound waves, if either the source or the observer is moving, the perceived frequency is altered due to the compression or stretching of the sound waves as they propagate through the medium.

Relative Motion and Line-of-Sight Component

In problems involving moving sources and stationary observers, only the component of the velocity of the source that is along the line joining the source and the observer (the line-of-sight) contributes to the change in frequency. When the motion is perpendicular to this line, there is no component along the line-of-sight and hence no Doppler shift is observed.

Sound Propagation in a Medium

Sound propagates as a mechanical wave through a medium such as air, and its speed is determined by the properties of the medium. In the context of the Doppler Effect, the speed of sound is a crucial parameter because it sets the scale against which relative velocities are compared to determine the frequency shift.

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