String Open at One End
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A 2.00 m-long rope, having a mass of 80 g, is fixed at one end and is tied to a light string at the other end. The tension in the string is 256 N. Find the frequencies of the fundamental and the first two overtones.
20 Hz, 40 Hz, 80 Hz
10 Hz, 20 Hz, 30 Hz
10 Hz, 30 Hz, 50 Hz
None of these
Two successive resonance frequencies in an open organ pipe are 1944 Hz and 2592 Hz. Find the length of the tube. The speed of sound in air is 324 ms−1
1 m
10 cm
25 cm
50 cm
A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the medium of the tube.
None of these
Two successive resonance frequencies in an open organ pipe are 1944 Hz and 2592 Hz. Find the length of the tube. The speed of sound in air is 324 ms−1
50 cm
1 m
10 cm
25 cm
A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the medium of the tube.
None of these

- Zero
- In upward direction
- In downward direction
- Can't be determined
- 300 Hz, 400 Hz
- 600 Hz, 1000 Hz
- 200 Hz, 250 Hz
- 100 Hz, 150 Hz
(Assume velocity of wave in both strings is same)
- 20 cm
- 40 cm
- 10 cm
- 30 cm
- String fixed at both end
- String fixed at one end & free at other
- String may be fixed at one end as well as at both ends
- None of the above
- 4 m
- 10 m
- 5 m
- 8 m