A cylindrical tube open at both ends has a fundamental frequency f0 in the air. The tube is dipped vertically in water such that half its length is inside water. The fundamental frequency of the air column now will be:
1.
2.
3.
4. 2
The maximum possible wavelength in an open organ pipe of length l is:
1. | l | 2. | 2l |
3. | 3l | 4. | 4l |
The equation of a stationary wave is given as where t is in seconds and x in centimetres. Which of the following is correct?
1. | Wavelength of the component waves is 10 cm. |
2. | The separation between a node and the nearest antinode is 2.5 cm. |
3. | Frequency of the component wave is 0.25 Hz. |
4. | All of these |
The equation of a travelling wave is given as , where t is in seconds and x in metres. The minimum distance between two particles oscillating in the same phase is:
1. 10 m
2. 5 m
3. 2 m
4. 1.5 m
Two sound waves given by the equations \(y=A\sin 122 \pi t\) and \(y=A\sin 128 \pi t\) pass through a point simultaneously. The number of beats per second is:
1. | \(6\) | 2. | \(5\) |
3. | \(4\) | 4. | \(3\) |
The graph between fundamental frequency (\(f\)) and corresponding tension (\(T\)) in a sonometer wire is best-represented by:
1. | 2. | ||
3. | 4. |
Stationary waves are formed on a stretched string. If the wavelength is , then the distance between two points having the maximum displacement can be:
1. | 3λ/2 | 2. | 4λ |
3. | 5λ/2 | 4. | All of these |
Given the equation for a wave on the string, y = 0.5 sin(5x - 3t) where y and x are in metres and t in seconds, the ratio of the maximum speed of particle to the speed of wave is:
1. 1:1
2. 5:2
3. 3:2
4. 4:5
If the transverse displacement of a string clamped at both ends is given by y(x,t)=12(cm) sin(6.28x)cos(3.14 t), where x is in cm and t is in seconds, then which of the following is not true?
1. | The velocity of the component wave is 0.5 cm/s. |
2. | The amplitude of one of the component waves is 6 cm. |
3. | The distance between two consecutive nodes is 0.5 cm. |
4. | x= 0.25 cm is the first node except the nodes at the ends. |
Given below are two statements:
Statement-I: | With the displacement wave we can produce a pressure wave. |
Statement-II: | Displacement and pressure waves both are having a phase difference of \(\frac{\pi }{2}\). |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |