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Mechanical Properties Of Fluids

Question
CBSEENPH11019125

A policeman on duty detects a decrease of 12% in the pitch of horn from a car crossing him. Find the velocity of car. The velocity of sound in air is 340m/s.

Solution
The apparent pitch of horn while car is approaching before crossing is, 
                    straight v subscript 1 equals fraction numerator straight V over denominator straight V minus straight u end fraction straight v 
The apparent pitch of horn after crossing is, 
 
                    straight v subscript 2 equals fraction numerator straight V over denominator straight V plus straight u end fraction straight v 
The percentage drop in pitch is given by,
       fraction numerator straight v subscript 1 minus straight v subscript 2 over denominator straight v subscript 1 end fraction cross times 100 equals open parentheses 1 minus straight v subscript 2 over straight v subscript 1 close parentheses cross times 100 
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#6 {main}</pre> 
                           equals fraction numerator 2 straight u over denominator straight V plus straight u end fraction 100 
We have, the percentage drop in pitch is 12%.
So,
                   
                  12 equals fraction numerator 2 straight u over denominator 340 plus straight u end fraction 100 

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#6 {main}</pre> 
rightwards double arrow                      188 straight u equals 12 cross times 340 
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#6 {main}</pre>, is the velocity of the car.