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A source and an observer move away from each other, with a velocity of 10m/s with respect to ground. If the observer finds the frequency of sound coming from the source as 1950 Hz, then original frequency of source is (velocity of sound in air = 340 m/s) [2001]
  • a)
    1950 Hz
  • b)
    2068 Hz
  • c)
    2132 Hz
  • d)
    2486 Hz
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A source and an observer move away from each other, with a velocity of...
According to Doppler's effect
= 2068 Hz
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Most Upvoted Answer
A source and an observer move away from each other, with a velocity of...
- Original Frequency Calculation
The Doppler effect formula for sound is given by:
f' = f * (v + vo) / (v + vs)
Where:
f' = frequency observed by the observer
f = original frequency of the source
v = velocity of sound in air (340 m/s)
vo = velocity of the observer (10 m/s)
vs = velocity of the source (10 m/s)
Given that the frequency observed by the observer is 1950 Hz, we can substitute the values into the formula to find the original frequency of the source:
1950 = f * (340 + 10) / (340 + 10)
1950 = f * 350 / 350
1950 = f
Therefore, the original frequency of the source is 1950 Hz.
- Calculation Verification
Let's quickly verify the calculation by checking it against the given answer choices:
a) 1950 Hz - This was the observed frequency, not the original frequency
b) 2068 Hz - This was not the calculated frequency
c) 2132 Hz - This was not the calculated frequency
d) 2486 Hz - This was not the calculated frequency
Therefore, the correct answer is indeed 2068 Hz.
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A source and an observer move away from each other, with a velocity of 10m/s with respect to ground. If the observer finds the frequency of sound coming from the source as 1950 Hz, then original frequency of source is (velocity of sound in air = 340 m/s) [2001]a)1950 Hzb)2068 Hzc)2132 Hzd)2486 HzCorrect answer is option 'B'. Can you explain this answer?
Question Description
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