Superposition of Transverse Waves
PHXI15:WAVES

355126 The equation of a wave disturbance is given as \(y=0.02 \sin \left(\dfrac{\pi}{2}+50 \pi t\right) \cos (10 \pi x)\), where \(x\) and \(y\) are in metre and \(t\) is in second. Choose the correct statement.

1 The wavelength of wave is \(0.2\;m\)
2 Displacement node occurs at \(x = 0.25\;m\)
3 Displacement antinode occurs at \(x = 0.15\;m\)
4 The speed of constituent waves is \(0.2\;m/s\)
PHXI15:WAVES

355127 A string is vibrating in its fifth overtone between two rigid supports \(2.4\;m\) part. The distance between successive node and antinode is

1 \(0.1\;m\)
2 \(0.2\;m\)
3 \(0.6\;m\)
4 \(0.8\;m\)
PHXI15:WAVES

355128 A wire under tension vibrates with a fundamental frequency of \(1500\;Hz\). If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become :-

1 \(500\;Hz\)
2 \(300\;Hz\)
3 \(600\;Hz\)
4 \(400\;Hz\)
PHXI15:WAVES

355129 I.
In a standing wave, frequency of all the particle will be same.
II.
In a standing wave, all the particles cross their mean position together
III.
In a standing wave, energy is not transmitted across a node.
IV.
All the particles are oscillating with same amplitude.
Which of the given statement(s) is/are correct about the standing wave?

1 I, II and III
2 Both II and IV
3 Only III
4 I, II III and IV
PHXI15:WAVES

355126 The equation of a wave disturbance is given as \(y=0.02 \sin \left(\dfrac{\pi}{2}+50 \pi t\right) \cos (10 \pi x)\), where \(x\) and \(y\) are in metre and \(t\) is in second. Choose the correct statement.

1 The wavelength of wave is \(0.2\;m\)
2 Displacement node occurs at \(x = 0.25\;m\)
3 Displacement antinode occurs at \(x = 0.15\;m\)
4 The speed of constituent waves is \(0.2\;m/s\)
PHXI15:WAVES

355127 A string is vibrating in its fifth overtone between two rigid supports \(2.4\;m\) part. The distance between successive node and antinode is

1 \(0.1\;m\)
2 \(0.2\;m\)
3 \(0.6\;m\)
4 \(0.8\;m\)
PHXI15:WAVES

355128 A wire under tension vibrates with a fundamental frequency of \(1500\;Hz\). If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become :-

1 \(500\;Hz\)
2 \(300\;Hz\)
3 \(600\;Hz\)
4 \(400\;Hz\)
PHXI15:WAVES

355129 I.
In a standing wave, frequency of all the particle will be same.
II.
In a standing wave, all the particles cross their mean position together
III.
In a standing wave, energy is not transmitted across a node.
IV.
All the particles are oscillating with same amplitude.
Which of the given statement(s) is/are correct about the standing wave?

1 I, II and III
2 Both II and IV
3 Only III
4 I, II III and IV
PHXI15:WAVES

355126 The equation of a wave disturbance is given as \(y=0.02 \sin \left(\dfrac{\pi}{2}+50 \pi t\right) \cos (10 \pi x)\), where \(x\) and \(y\) are in metre and \(t\) is in second. Choose the correct statement.

1 The wavelength of wave is \(0.2\;m\)
2 Displacement node occurs at \(x = 0.25\;m\)
3 Displacement antinode occurs at \(x = 0.15\;m\)
4 The speed of constituent waves is \(0.2\;m/s\)
PHXI15:WAVES

355127 A string is vibrating in its fifth overtone between two rigid supports \(2.4\;m\) part. The distance between successive node and antinode is

1 \(0.1\;m\)
2 \(0.2\;m\)
3 \(0.6\;m\)
4 \(0.8\;m\)
PHXI15:WAVES

355128 A wire under tension vibrates with a fundamental frequency of \(1500\;Hz\). If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become :-

1 \(500\;Hz\)
2 \(300\;Hz\)
3 \(600\;Hz\)
4 \(400\;Hz\)
PHXI15:WAVES

355129 I.
In a standing wave, frequency of all the particle will be same.
II.
In a standing wave, all the particles cross their mean position together
III.
In a standing wave, energy is not transmitted across a node.
IV.
All the particles are oscillating with same amplitude.
Which of the given statement(s) is/are correct about the standing wave?

1 I, II and III
2 Both II and IV
3 Only III
4 I, II III and IV
PHXI15:WAVES

355126 The equation of a wave disturbance is given as \(y=0.02 \sin \left(\dfrac{\pi}{2}+50 \pi t\right) \cos (10 \pi x)\), where \(x\) and \(y\) are in metre and \(t\) is in second. Choose the correct statement.

1 The wavelength of wave is \(0.2\;m\)
2 Displacement node occurs at \(x = 0.25\;m\)
3 Displacement antinode occurs at \(x = 0.15\;m\)
4 The speed of constituent waves is \(0.2\;m/s\)
PHXI15:WAVES

355127 A string is vibrating in its fifth overtone between two rigid supports \(2.4\;m\) part. The distance between successive node and antinode is

1 \(0.1\;m\)
2 \(0.2\;m\)
3 \(0.6\;m\)
4 \(0.8\;m\)
PHXI15:WAVES

355128 A wire under tension vibrates with a fundamental frequency of \(1500\;Hz\). If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth the tension. Then the fundamental frequency will become :-

1 \(500\;Hz\)
2 \(300\;Hz\)
3 \(600\;Hz\)
4 \(400\;Hz\)
PHXI15:WAVES

355129 I.
In a standing wave, frequency of all the particle will be same.
II.
In a standing wave, all the particles cross their mean position together
III.
In a standing wave, energy is not transmitted across a node.
IV.
All the particles are oscillating with same amplitude.
Which of the given statement(s) is/are correct about the standing wave?

1 I, II and III
2 Both II and IV
3 Only III
4 I, II III and IV