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A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station is
- a)(1 + ν/c)f₀
- b)c/ν f₀
- c)ν/c f₀
- d)(c - ν/c) f₀
Correct answer is option 'A'. Can you explain this answer?
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A train is approaching a platform with a velocity ν. The frequency hea...
**Explanation:**
When a train approaches a stationary observer at the platform, there is a change in the frequency of the sound waves heard by the observer due to the relative motion between the train and the observer. This phenomenon is known as the Doppler effect.
The Doppler effect can be explained using the formula:
f' = (v + vo) / (v + vs) * f₀
Where:
- f' is the frequency observed by the observer
- f₀ is the frequency of the sound emitted by the source (train horn)
- v is the velocity of sound in air
- vo is the velocity of the observer (stationary)
- vs is the velocity of the source (train)
**Applying the Doppler effect formula:**
In this case, the train is approaching the platform, so the velocity of the source (train) vs is positive. The observer at the station is stationary, so the velocity of the observer vo is zero.
f' = (v + 0) / (v + vs) * f₀
f' = v / (v + vs) * f₀
Since the velocity of sound v is much larger than the velocity of the train vs, we can approximate the above equation:
f' ≈ v / v * f₀
f' ≈ f₀
Hence, the frequency observed by the observer standing at the station is approximately equal to the frequency of the sound emitted by the train, which is given by option A: (1 - ν/c) * f₀.
When a train approaches a stationary observer at the platform, there is a change in the frequency of the sound waves heard by the observer due to the relative motion between the train and the observer. This phenomenon is known as the Doppler effect.
The Doppler effect can be explained using the formula:
f' = (v + vo) / (v + vs) * f₀
Where:
- f' is the frequency observed by the observer
- f₀ is the frequency of the sound emitted by the source (train horn)
- v is the velocity of sound in air
- vo is the velocity of the observer (stationary)
- vs is the velocity of the source (train)
**Applying the Doppler effect formula:**
In this case, the train is approaching the platform, so the velocity of the source (train) vs is positive. The observer at the station is stationary, so the velocity of the observer vo is zero.
f' = (v + 0) / (v + vs) * f₀
f' = v / (v + vs) * f₀
Since the velocity of sound v is much larger than the velocity of the train vs, we can approximate the above equation:
f' ≈ v / v * f₀
f' ≈ f₀
Hence, the frequency observed by the observer standing at the station is approximately equal to the frequency of the sound emitted by the train, which is given by option A: (1 - ν/c) * f₀.
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A train is approaching a platform with a velocity ν. The frequency hea...
Doppler effect:- stationary wrt to motional
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A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. Can you explain this answer?
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A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. 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 train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. 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 train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. Can you explain this answer?.
A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. 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 train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. 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 train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station isa) (1 + ν/c)f₀ b) c/ν f₀ c) ν/c f₀ d) (c - ν/c) f₀ Correct answer is option 'A'. Can you explain this answer?.
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