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A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).
- a)zero
- b)33 m/s
- c)22 m/s
- d)11 m/s
Correct answer is option 'C'. Can you explain this answer?
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In the first situation, a police car (source of sound) with a speed vs, is approaching a motorcycle (observer), which is moving away from a police car with a speed of vm.
Therefore, apparent frequency of sound heard by motorcyclist,
n′=ncar(v−vm /v−vs ) ...................eq1
.
In second situation, motorcyclist (observer) is approaching a stationary siren (source), with a speed of vm.
Therefore, apparent frequency of sound heard by motorcyclist,
n′′=nsiren(v+vm/v) ...................eq2 ,.
Now as no beats are observed by motorcyclist, this is possible only when difference in frequencies heard by motorcyclist is zero,
i.e. n′−n′′=0,
or n′=n′′,
or ncar(v−vm /v−vs )=nsiren(v+vm/v)
Given n′=176Hz, n′′=165Hz, v=330m/s, vs=22m/s,ncar=176Hz and nsiren=165Hz
Hence, 176(v−vm/330−22) =165(v+vm/330),
or (v−vm/ v+vm )=165/176×308/330=7/8 ,
or 15vm=v,
Speed of sound in air v=330 m/s
or vm=330/15=22m/s
Therefore, apparent frequency of sound heard by motorcyclist,
n′=ncar(v−vm /v−vs ) ...................eq1
.
In second situation, motorcyclist (observer) is approaching a stationary siren (source), with a speed of vm.
Therefore, apparent frequency of sound heard by motorcyclist,
n′′=nsiren(v+vm/v) ...................eq2 ,.
Now as no beats are observed by motorcyclist, this is possible only when difference in frequencies heard by motorcyclist is zero,
i.e. n′−n′′=0,
or n′=n′′,
or ncar(v−vm /v−vs )=nsiren(v+vm/v)
Given n′=176Hz, n′′=165Hz, v=330m/s, vs=22m/s,ncar=176Hz and nsiren=165Hz
Hence, 176(v−vm/330−22) =165(v+vm/330),
or (v−vm/ v+vm )=165/176×308/330=7/8 ,
or 15vm=v,
Speed of sound in air v=330 m/s
or vm=330/15=22m/s
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A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer?
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A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer?.
A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer?.
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A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A police car moving at 22 m/s, chases a motor cyclist. The police man sounds his horn at 176 Hz while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motor cyclist, if it is given that he does not hear any beats. (Velocity of sound = 330 m/s).a)zerob)33 m/sc)22 m/sd)11 m/sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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