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. |
A string of length l is fixed at one end and free at the other. If it resonates in different modes, then the ratio of frequencies is:
1. 1:2:3: ......
2. 1:3:5:7: ......
3. 1:2:4:8: ..........
4. 1:3:9: ........
A sound wave is passed through a chamber. If the r.m.s. speed of molecules in a gas is v1 and the speed of sound is v2 in the gas, then:
1. | v1 = v2 | 2. | v1 > v2 |
3. | v1 < v2 | 4. | v1 ≤ v2 |
Stationary waves can be obtained in an air column even if interfering waves have different:
1. Amplitude
2. Wavelength
3. Velocity
4. Frequency
\(y-x\) graph of a travelling wave along \(+x\) direction is shown at any instant \(t\). (Symbols have their usual meanings). The velocity of a particle at:
1. | \(x_1\) is downward |
2. | \(x_2\) is downward |
3. | \(x_3\) is upward |
4. | \(x_4\) is downward |
Which one of the following graphs represents correctly the given wave equation at the origin?
1. | 2. | ||
3. | 4. |
The graph between fundamental frequency (\(f\)) and corresponding tension (\(T\)) in a sonometer wire is best-represented by:
1. | 2. | ||
3. | 4. |