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A driver in a car , approaching a vert...

A driver in a car , approaching a vertical wall notices that the frequency of his car horn , has changed form 440 Hz to 480 Hz , when it gets reflected form the wall . If the speed of the sound in are 345 m/s , then the speed of the car is :

A

54 km/hr

B

36 km/hr

C

18 km/hr

D

24 km/hr

Text Solution

Verified by Experts

The correct Answer is:
A


`f_1` = Frequency heard by wall `= f_s = ((v_s)/(v_s-v_c))`
` f_2` = Frequency heard by driver after reflection from wall
`f_2=((v_s+v_c)/(v_s))f_1=((v_s+v_c)/(v_s-v_c))f_0`
`f_2/(f_0)=(v_s-v_c)/(v_s+v_c)implies (48)/44=(v_s-v_c)/(v_s+v_c)`
`12(v_s+v_c)=11(v_s-v_c)implies 23v_c=v_s`
`v_c = (v_s)/(23)=(345)/23 = 15 m//s`
`= (15 xx18)/5 = 54 ` km/hr
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