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A tuning fork of frequency 512 Hz is used to produce vibrations in a sonometer wire of natural frequency 256 Hz. The wire will vibrate in
- a)One segment
- b)Two segments
- c)Four segments
- d)Three segments
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A tuning fork of frequency 512 Hz is used to produce vibrations in a ...
Concept:
When a tuning fork is placed near a sonometer wire, the wire will start to vibrate due to resonance. The wire will vibrate at its natural frequency or a multiple of it. The number of segments in which the wire vibrates depends on the ratio of the frequency of the tuning fork to the natural frequency of the wire.
Calculation:
The ratio of the frequency of the tuning fork to the natural frequency of the wire is given by:
f tuning fork/f wire = 2
f wire = 256 Hz (given)
Therefore, f tuning fork = 2 x f wire = 2 x 256 Hz = 512 Hz
Since the frequency of the tuning fork is equal to the frequency of the wire when it vibrates in two segments, the wire will vibrate in two segments.
Answer:
The wire will vibrate in two segments.
When a tuning fork is placed near a sonometer wire, the wire will start to vibrate due to resonance. The wire will vibrate at its natural frequency or a multiple of it. The number of segments in which the wire vibrates depends on the ratio of the frequency of the tuning fork to the natural frequency of the wire.
Calculation:
The ratio of the frequency of the tuning fork to the natural frequency of the wire is given by:
f tuning fork/f wire = 2
f wire = 256 Hz (given)
Therefore, f tuning fork = 2 x f wire = 2 x 256 Hz = 512 Hz
Since the frequency of the tuning fork is equal to the frequency of the wire when it vibrates in two segments, the wire will vibrate in two segments.
Answer:
The wire will vibrate in two segments.
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Community Answer
A tuning fork of frequency 512 Hz is used to produce vibrations in a ...
As the wire is forced to have a frequency = 512 = 2 x 256 = 2n, therefore, it must vibrate in two segments.
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A tuning fork of frequency 512 Hz is used to produce vibrations in a sonometer wire of natural frequency 256 Hz. The wire will vibrate ina)One segmentb)Two segmentsc)Four segmentsd)Three segmentsCorrect answer is option 'B'. Can you explain this answer?
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