Q85 of 118 Page 352

Figure (16-E12) shows a source of sound moving along the X-axis at a speed of 22 m s continuously emitting a sound of frequency 2-0 kHz which travels in air at a speed of 330 m s-1. A listener Q stands on the Y-axis at a distance of 330 m from the origin. At t = 0, the source crosses the origin P. (a) When does the sound emitted from the source at P reach the listener Q? (b) What will be the frequency heard by the listener at this instant? (c) Where will the source be at this instant?


(a) Speed of the sound is 330 m/s and the distance from P to Q is 330 m.


So, the time needed will be,



(b)


The direction of the source is perpendicular to the direction of listener. As, there won’t be any change in the actual frequency.


(c)


The speed of the source is 22m/s and it took 1s. So the distance traveled will also be 22m. Hence, it will be at x=22m


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84

An operator sitting in his base camp sends a sound signal of frequency 400 Hz. The signal is reflected back from a car moving towards him. The frequency of the reflected sound is found to be 410 Hz. Find the speed of the car. Speed of sound in air = 324 m s-1.

86

A source emitting sound at frequency 4000 Hz, is moving along the Y-axis with a speed of 22 m s-1, A listener is situated on the ground at the position (660 m, 0). Find the frequency of the sound received by the listener at the instant the source crosses the origin. Speed of sound in air = 330 m s-1.

87

A source of sound emitting a 1200 Hz note travels along a straight line at a speed of 170 m s-1. A detector is placed at a distance of 200 m from the line of motion of the source. (a) Find the frequency of sound received by the detector at the instant when the source gets closest to it. (b) Find the distance between the source and the detector at the instant it detects the frequency 1200 Hz. Velocity of sound in air = 340 m s-1.