String Open at One End

Q.

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.

1. 20 Hz, 40 Hz, 80 Hz

2. 10 Hz, 20 Hz, 30 Hz

3. 10 Hz, 30 Hz, 50 Hz

4. None of these

Q.

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 $324m{s}^{-1}$

1. 1 m

2. 10 cm

3. 25 cm

4. 50 cm

Q.

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.

1. 

2. 

3. 

4. None of these

Q.

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 $324m{s}^{-1}$

1. 50 cm

2. 1 m

3. 10 cm

4. 25 cm

Q.

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.

1. None of these

2. 

3. 

4. 

Q. Wave is travelling on a stretched string fixed at one end as shown in the figure. The resultant force acting on particle at point A is

1. Zero
2. In upward direction
3. In downward direction
4. Can't be determined

Q. A certain string (fixed at one end and free at the other end) can vibrate at several frequencies, the lowest of which is $200\text{Hz}$. What are next two higher frequencies to which it vibrates?

1. $300\text{Hz},400\text{Hz}$
2. $600\text{Hz},1000\text{Hz}$
3. $200\text{Hz},250\text{Hz}$
4. $100\text{Hz},150\text{Hz}$

Q. A string of length $10\text{cm}$ fixed at one end and free at another end, has its fundamental frequency half that of second overtone for another string fixed at both ends. What will be the length of string fixed at both ends?
(Assume velocity of wave in both strings is same)

1. $20\text{cm}$
2. $40\text{cm}$
3. $10\text{cm}$
4. $30\text{cm}$

Q. If fundamental frequency is $50\text{Hz}$ and next succesive frequencies are $150\text{Hz}$ and $250\text{Hz}$, then which of the following options correctly represents the state of the string?

1. String fixed at both end
2. String fixed at one end & free at other
3. String may be fixed at one end as well as at both ends
4. None of the above

Q. A standing wave is produced in a $10\text{m}$ long string fixed at one end and free at the other end. Find the wavelength of wave, if string is vibrating in its second overtone, and wave velocity is $20\text{m/s}$.

1. $4\text{m}$
2. $10\text{m}$
3. $5\text{m}$
4. $8\text{m}$