Superposition of Transverse Waves
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PHXI15:WAVES

355130 Standing waves can be produced

1 On a string clamped at both ends
2 On a string clamped at one end and free at the other
3 When incident wave gets reflected from a wall
4 All the above
PHXI15:WAVES

355131 Equations of a stationary and travelling waves are as follows
\({y_1} = a\sin kx\cos \omega t\,{\text{and }}{y_2} = a\sin (\omega t - kx)\)
The phase difference between two points \(x_{1}=\dfrac{\pi}{3 k}\) and \(x_{2}=\dfrac{3 \pi}{2 k}\) is \(\phi_{1}\), in the standing wave \(y_{1}\) and is \(\phi_{2}\) in travelling wave \(\left(y_{2}\right)\) then \(\dfrac{\phi_{1}}{\phi_{2}}\) is

1 \(1\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{6}{7}\)
4 \(\dfrac{5}{6}\)
PHXI15:WAVES

355132 The equation of a stationary wave is \({y=10 \sin \dfrac{\pi x}{4} \cos 20 \pi t}\). The distance between two consecutive nodes (in \({m}\) ) is

1 4
2 2
3 5
4 8
PHXI15:WAVES

355133 When a stationary wave is formed then its frequency is

1 Half that of the individual waves
2 Twice that of the individual waves
3 Same as that of the individual waves
4 None of these
PHXI15:WAVES

355134 The vibrations of a string of length \(60\;cm\) fixed at both the ends are represented by the equation \(y=2 \sin \left(\dfrac{4 \pi x}{15}\right) \cos (96 \pi t)\) where \(x\) and \(y\) are in \(cm\). The maximum number of loops that can be formed in it is

1 \(16\)
2 \(4\)
3 \(15\)
4 \(5\)
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PHXI15:WAVES

355130 Standing waves can be produced

1 On a string clamped at both ends
2 On a string clamped at one end and free at the other
3 When incident wave gets reflected from a wall
4 All the above
PHXI15:WAVES

355131 Equations of a stationary and travelling waves are as follows
\({y_1} = a\sin kx\cos \omega t\,{\text{and }}{y_2} = a\sin (\omega t - kx)\)
The phase difference between two points \(x_{1}=\dfrac{\pi}{3 k}\) and \(x_{2}=\dfrac{3 \pi}{2 k}\) is \(\phi_{1}\), in the standing wave \(y_{1}\) and is \(\phi_{2}\) in travelling wave \(\left(y_{2}\right)\) then \(\dfrac{\phi_{1}}{\phi_{2}}\) is

1 \(1\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{6}{7}\)
4 \(\dfrac{5}{6}\)
PHXI15:WAVES

355132 The equation of a stationary wave is \({y=10 \sin \dfrac{\pi x}{4} \cos 20 \pi t}\). The distance between two consecutive nodes (in \({m}\) ) is

1 4
2 2
3 5
4 8
PHXI15:WAVES

355133 When a stationary wave is formed then its frequency is

1 Half that of the individual waves
2 Twice that of the individual waves
3 Same as that of the individual waves
4 None of these
PHXI15:WAVES

355134 The vibrations of a string of length \(60\;cm\) fixed at both the ends are represented by the equation \(y=2 \sin \left(\dfrac{4 \pi x}{15}\right) \cos (96 \pi t)\) where \(x\) and \(y\) are in \(cm\). The maximum number of loops that can be formed in it is

1 \(16\)
2 \(4\)
3 \(15\)
4 \(5\)
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PHXI15:WAVES

355130 Standing waves can be produced

1 On a string clamped at both ends
2 On a string clamped at one end and free at the other
3 When incident wave gets reflected from a wall
4 All the above
PHXI15:WAVES

355131 Equations of a stationary and travelling waves are as follows
\({y_1} = a\sin kx\cos \omega t\,{\text{and }}{y_2} = a\sin (\omega t - kx)\)
The phase difference between two points \(x_{1}=\dfrac{\pi}{3 k}\) and \(x_{2}=\dfrac{3 \pi}{2 k}\) is \(\phi_{1}\), in the standing wave \(y_{1}\) and is \(\phi_{2}\) in travelling wave \(\left(y_{2}\right)\) then \(\dfrac{\phi_{1}}{\phi_{2}}\) is

1 \(1\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{6}{7}\)
4 \(\dfrac{5}{6}\)
PHXI15:WAVES

355132 The equation of a stationary wave is \({y=10 \sin \dfrac{\pi x}{4} \cos 20 \pi t}\). The distance between two consecutive nodes (in \({m}\) ) is

1 4
2 2
3 5
4 8
PHXI15:WAVES

355133 When a stationary wave is formed then its frequency is

1 Half that of the individual waves
2 Twice that of the individual waves
3 Same as that of the individual waves
4 None of these
PHXI15:WAVES

355134 The vibrations of a string of length \(60\;cm\) fixed at both the ends are represented by the equation \(y=2 \sin \left(\dfrac{4 \pi x}{15}\right) \cos (96 \pi t)\) where \(x\) and \(y\) are in \(cm\). The maximum number of loops that can be formed in it is

1 \(16\)
2 \(4\)
3 \(15\)
4 \(5\)
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PHXI15:WAVES

355130 Standing waves can be produced

1 On a string clamped at both ends
2 On a string clamped at one end and free at the other
3 When incident wave gets reflected from a wall
4 All the above
PHXI15:WAVES

355131 Equations of a stationary and travelling waves are as follows
\({y_1} = a\sin kx\cos \omega t\,{\text{and }}{y_2} = a\sin (\omega t - kx)\)
The phase difference between two points \(x_{1}=\dfrac{\pi}{3 k}\) and \(x_{2}=\dfrac{3 \pi}{2 k}\) is \(\phi_{1}\), in the standing wave \(y_{1}\) and is \(\phi_{2}\) in travelling wave \(\left(y_{2}\right)\) then \(\dfrac{\phi_{1}}{\phi_{2}}\) is

1 \(1\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{6}{7}\)
4 \(\dfrac{5}{6}\)
PHXI15:WAVES

355132 The equation of a stationary wave is \({y=10 \sin \dfrac{\pi x}{4} \cos 20 \pi t}\). The distance between two consecutive nodes (in \({m}\) ) is

1 4
2 2
3 5
4 8
PHXI15:WAVES

355133 When a stationary wave is formed then its frequency is

1 Half that of the individual waves
2 Twice that of the individual waves
3 Same as that of the individual waves
4 None of these
PHXI15:WAVES

355134 The vibrations of a string of length \(60\;cm\) fixed at both the ends are represented by the equation \(y=2 \sin \left(\dfrac{4 \pi x}{15}\right) \cos (96 \pi t)\) where \(x\) and \(y\) are in \(cm\). The maximum number of loops that can be formed in it is

1 \(16\)
2 \(4\)
3 \(15\)
4 \(5\)
Join With Us for More Updates
PHXI15:WAVES

355130 Standing waves can be produced

1 On a string clamped at both ends
2 On a string clamped at one end and free at the other
3 When incident wave gets reflected from a wall
4 All the above
PHXI15:WAVES

355131 Equations of a stationary and travelling waves are as follows
\({y_1} = a\sin kx\cos \omega t\,{\text{and }}{y_2} = a\sin (\omega t - kx)\)
The phase difference between two points \(x_{1}=\dfrac{\pi}{3 k}\) and \(x_{2}=\dfrac{3 \pi}{2 k}\) is \(\phi_{1}\), in the standing wave \(y_{1}\) and is \(\phi_{2}\) in travelling wave \(\left(y_{2}\right)\) then \(\dfrac{\phi_{1}}{\phi_{2}}\) is

1 \(1\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{6}{7}\)
4 \(\dfrac{5}{6}\)
PHXI15:WAVES

355132 The equation of a stationary wave is \({y=10 \sin \dfrac{\pi x}{4} \cos 20 \pi t}\). The distance between two consecutive nodes (in \({m}\) ) is

1 4
2 2
3 5
4 8
PHXI15:WAVES

355133 When a stationary wave is formed then its frequency is

1 Half that of the individual waves
2 Twice that of the individual waves
3 Same as that of the individual waves
4 None of these
PHXI15:WAVES

355134 The vibrations of a string of length \(60\;cm\) fixed at both the ends are represented by the equation \(y=2 \sin \left(\dfrac{4 \pi x}{15}\right) \cos (96 \pi t)\) where \(x\) and \(y\) are in \(cm\). The maximum number of loops that can be formed in it is

1 \(16\)
2 \(4\)
3 \(15\)
4 \(5\)