A train approaching a platform at a speed of 54 km / h sounds a whistle. An observer on the pla

step 1 Okay in this question 10 train approaching a platform at the speed of 54 kilometer per hour soun

A train approaching a platform at a speed of 54 km / h...

A train approaching a platform at a speed of $54 \mathrm{~km} / \mathrm{h}$ sounds a whistle. An observer on the platform finds its frequency to be $1620 \mathrm{~Hz}$. The train passes the platform keeping the whistle on and without slowing down. What frequency will the observer hear after the train has crossed the platfrom? The speed of sound in air $=332 \mathrm{~m} / \mathrm{s}$

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Key Concepts

Doppler Effect

The Doppler Effect is the phenomenon by which the observed frequency of a wave changes due to the relative motion between the source and the observer. When the source moves toward the observer, the waves are compressed leading to a higher observed frequency, and when it moves away, the waves are stretched resulting in a lower observed frequency.

Relative Motion

Relative motion between the source and the observer plays a key role in determining the magnitude and direction of the frequency shift. The effect depends on whether the source is approaching or receding from the observer, which alters the rate at which wavefronts reach the observer.

Apparent Frequency

The apparent frequency is the frequency that is actually measured by the observer, which differs from the emitted frequency due to the Doppler Effect. It encapsulates the changes caused by the movement of the source relative to the observer and is calculated using the relative speeds of both, in combination with the speed of the wave in the medium.

Speed of Sound

The speed of sound is the rate at which sound waves propagate through a medium. It is a crucial parameter in Doppler Effect calculations because the relative velocities of the source and observer are compared against this constant speed to determine the extent of frequency shift.

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