String Fixed at Both Ends
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What happens to frequency when the mass is doubled?
A cylindrical tube open at both ends has a fundamental frequency in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now
A pipe closed at one end produces a fundamental note of . It is cut into two pieces of equal length. The fundamental frequencies produced in the two pieces are
- 5 Hz
- 10 Hz
- 2.5 Hz
- 7.5 Hz
- MAlAMBlB
- lAlB√MAMB
- MAMB√lAlB
- None of these
- Angular wave number (k) of the wave will be π20 cm−1.
- Angular wave number (k) of the wave will be π10 cm−1.
- Time period of any particles SHM will be 4π sec.
- Time period of any particles SHM will be 2π sec.
- 25 kg
- 5 kg
- 12.5 kg
- 125 kg
- 3:5
- 1:2
- 4:9
- 1:4
Reason: If a stretched wire fixed at both ends is vibrating, number of antinodes are equal to number of loops.
You are required to choose correct one of the following
- Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
- Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
- Assertion is true but Reason is false.
- Assertion is false but Reason is true.
A piano wire weighing and having a length of emits a fundamental frequency corresponding to the “Middle C” . Find the tension in the wire.
- 3
- 4
- 5
- 6
- strain is maximum at nodes.
- strain is minimum at nodes.
- strain is maximum at antinodes.
- amplitude is zero at all points.
(Young's modulus of wire Y=9×1010 Nm−2)
- 4 m
- 2 m
- 8 m
- 3 m
- 0.66 m, 0.33 m, 0.22 m
- 0.72 m, 0.30 m, 0.18 m
- 0.56 m, 0.44 m, 0.21 m
- 0.82 m, 0.18 m, 0.21 m
- 144 cm
- 152 cm
- 176 cm
- 200 cm
- 2
- 4
- 8
- 1
- 38
- 23
- 89
- 94
A tuning fork of frequency 480 Hz is used to vibrate a sono-meter wire having natural frequency 240 Hz. The wire will vibrate with a frequency of
240 Hz
480 Hz
720 Hz
will not vibrate
Three resonant frequencies of a string are 90, 150 and 210 Hz.
(i) Find the highest possible fundamental frequency of vibration of this string
(ii) Which harmonics of the fundamental are the given frequencies?
(iii) Which overtones are these frequencies?
30Hz, harmonics - 3rd, 5th, 7th, overtones - 2nd, 4th, 6th
60 Hz, harmonics - 3rd, 5th, 7th, overtones - 2nd, 4th, 6th
30 Hz, harmonics - 2nd, 4th, 6th, overtones, 3rd, 5th, 7th
None of these
- vibrate with a frequency of 416 Hz
- vibrate with a frequency of 208 Hz
- vibrate with a frequency of 832 Hz
- stop vibrating.
- 10 Hz
- 30 Hz
- 100 Hz
- 70 Hz
- 50 Hz
- 100 Hz
- 150 Hz
- 200 Hz
- 125 Hz, 0.5 m
- 625 Hz, 0.8 m
- 500 Hz, 1.25 m
- 250 Hz, 0.5 m
- 38
- 23
- 89
- 94
What is the oscillating frequency of this string, if it produces the standing wave pattern shown below?
- 10 Hz
- 7.5 Hz
- 2.5 Hz
- 15 Hz
- 300.47N
- 425.25 N
- 247.27 N
- 500 N
The fundamental frequency of a segment of wire vibrating is and it is under a tension of . Then, the tension at which the fundamental frequency of the same wire becomes is
- 8.6 Hz
- 21.4 Hz
- 51.4 Hz
- 17.2 Hz