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A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).
- a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.
- b)The number of waves arriving per second at the reflecting surface is 1320.
- c)Speed of the reflected sound waves is 332 m/s.
- d)Speed of the reflected sound waves is 268 m/s.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A point source of sound is emitting sound waves of frequency 1000 Hz. ...
Explanation:
- Wavelength of sound waves: The wavelength of the sound waves can be calculated using the formula: λ = v / f, where λ is the wavelength, v is the speed of sound, and f is the frequency. In this case, the wavelength is 332 m/s / 1000 Hz = 0.332 m.
- Number of waves arriving at the reflecting surface: As the source is moving towards the reflecting surface, the effective frequency heard by the reflector will be higher due to the Doppler effect. The formula for the Doppler effect is f' = f * (v + vr) / (v - vs), where f' is the frequency heard by the reflector, f is the frequency emitted by the source, v is the speed of sound, vs is the speed of the source, and vr is the speed of the reflector. Plugging in the values, we get f' = 1000 Hz * (332 m/s + 64 m/s) / (332 m/s - 32 m/s) = 1320 Hz. So, the number of waves arriving per second at the reflecting surface is 1320.
- Speed of the reflected sound waves: The speed of the reflected sound waves can be calculated using the formula: v' = v + vr, where v' is the speed of the reflected sound waves, v is the speed of sound, and vr is the speed of the reflector. Plugging in the values, we get v' = 332 m/s + 64 m/s = 396 m/s. Therefore, the correct statement is that the speed of the reflected sound waves is 396 m/s, which is not given in the options provided.
Most Upvoted Answer
A point source of sound is emitting sound waves of frequency 1000 Hz. ...
Solution:
Given:
Frequency of sound waves emitted by source, f = 1000 Hz
Speed of source relative to ground, v1 = 32 m/s towards right
Speed of reflecting surface relative to ground, v2 = 64 m/s towards left
Speed of sound in air, v = 332 m/s
1. Wavelength of sound waves emitted by source in between the source and reflector
The wavelength of sound waves emitted by the source can be calculated as:
λ = v/f
λ = 332/1000
λ = 0.332 m
This is the wavelength of the sound waves in air.
2. Number of waves arriving per second at the reflecting surface
Let's consider the situation when the source is at point S and the reflecting surface is at point R, as shown in the figure below.
When the source is at point S, a sound wave is emitted towards the right. Let the wavelength of this wave be λ1. When this wave reaches point R, it reflects back towards the left. Let the wavelength of this reflected wave be λ2. The distance between points S and R is L.
The time taken for the sound wave to travel from S to R is:
t = L/(v1 + v)
t = L/(32 + 332)
t = L/364
During this time, the source emits a certain number of waves. The number of waves emitted by the source in time t is:
n1 = f*t
n1 = 1000*L/364
When the reflected wave reaches point S, the source has moved to the right by a distance of L. Therefore, the reflected wave has to travel a distance of 2L before it reaches the reflecting surface again. The time taken for the reflected wave to travel this distance is:
t = 2L/(v2 + v)
t = 2L/(64 + 332)
t = L/198
During this time, the source emits another set of waves. The number of waves emitted by the source in time t is:
n2 = f*t
n2 = 1000*L/198
Therefore, the total number of waves arriving per second at the reflecting surface is:
n = n1 + n2
n = 1000*L*(1/364 + 1/198)
n = 1320 waves/s
So, option B is correct.
3. Speed of the reflected sound waves
The speed of the reflected sound waves is equal to the speed of sound in air, which is 332 m/s. Therefore, option C is incorrect and option D is also incorrect.
Given:
Frequency of sound waves emitted by source, f = 1000 Hz
Speed of source relative to ground, v1 = 32 m/s towards right
Speed of reflecting surface relative to ground, v2 = 64 m/s towards left
Speed of sound in air, v = 332 m/s
1. Wavelength of sound waves emitted by source in between the source and reflector
The wavelength of sound waves emitted by the source can be calculated as:
λ = v/f
λ = 332/1000
λ = 0.332 m
This is the wavelength of the sound waves in air.
2. Number of waves arriving per second at the reflecting surface
Let's consider the situation when the source is at point S and the reflecting surface is at point R, as shown in the figure below.
When the source is at point S, a sound wave is emitted towards the right. Let the wavelength of this wave be λ1. When this wave reaches point R, it reflects back towards the left. Let the wavelength of this reflected wave be λ2. The distance between points S and R is L.
The time taken for the sound wave to travel from S to R is:
t = L/(v1 + v)
t = L/(32 + 332)
t = L/364
During this time, the source emits a certain number of waves. The number of waves emitted by the source in time t is:
n1 = f*t
n1 = 1000*L/364
When the reflected wave reaches point S, the source has moved to the right by a distance of L. Therefore, the reflected wave has to travel a distance of 2L before it reaches the reflecting surface again. The time taken for the reflected wave to travel this distance is:
t = 2L/(v2 + v)
t = 2L/(64 + 332)
t = L/198
During this time, the source emits another set of waves. The number of waves emitted by the source in time t is:
n2 = f*t
n2 = 1000*L/198
Therefore, the total number of waves arriving per second at the reflecting surface is:
n = n1 + n2
n = 1000*L*(1/364 + 1/198)
n = 1320 waves/s
So, option B is correct.
3. Speed of the reflected sound waves
The speed of the reflected sound waves is equal to the speed of sound in air, which is 332 m/s. Therefore, option C is incorrect and option D is also incorrect.
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A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer?
Question Description
A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer?.
A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer?.
Solutions for A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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ample number of questions to practice A point source of sound is emitting sound waves of frequency 1000 Hz. The source starts moving to the right with a speed of 32 m/s relative to ground while a reflecting surface which is on the righ side of source is approaching the source with a speed of 64 m/s relative to ground. The speed of sound in air is 332 m/s. For this situation, mark out the correct statement(s).a)The wavelength of sound waves emitted by source in between the source and reflector is 3 10 m.b)The number of waves arriving per second at the reflecting surface is 1320.c)Speed of the reflected sound waves is 332 m/s.d)Speed of the reflected sound waves is 268 m/s.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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