Superposition of Transverse Waves
PHXI15:WAVES

355152 A wire under tension vibrates with a fundamental frequency of \(600\,Hz\). 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 \(200\,Hz\)
2 \(300\,Hz\)
3 \(600\,Hz\)
4 \(400\,Hz\)
PHXI15:WAVES

355153 The tension in a stretched string fixed at both ends is changed by \(2 \%\), the fundamental frequency is found to get changed by \(15\;Hz\). Select the incorrect statement.

1 Wavelength of the string of fundamental frequency does not change
2 Velocity of propagation of wave changes by \(2 \%\)
3 Velocity of propagation of wave changes by \(1 \%\)
4 Original frequency is \(1500\;Hz\)
PHXI15:WAVES

355154 In a standing wave experiment, a \(1.2\;kg\) horizontal rope is fixed in place at its two ends( \(x\) \(=0\) and \(x = 2.0\;m\)) and made to oscillate up and down in the fundamental mode, at a frequency of \(5.0\,Hz\). At \(t = 0\), the point at \(x = 1.0\;m\) has zero displacement and is moving upward in the positive direction of \(y\) - axis with a transverse velocity \(3.14\;m/s\). The standing wave equation is

1 \(y=0.1 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
2 \(y=0.1 \sin (\pi x) \sin (10 \pi t)\)
3 \(y=0.05 \sin \left(\dfrac{\pi}{2} x\right) \cos (10 \pi t)\)
4 \(y=0.04 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
PHXI15:WAVES

355155 In a stationary wave

1 Amplitude is zero at antinodes
2 Amplitude is zero at nodes
3 Amplitude is maximum at nodes
4 Amplitude is zero at all points.
PHXI15:WAVES

355152 A wire under tension vibrates with a fundamental frequency of \(600\,Hz\). 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 \(200\,Hz\)
2 \(300\,Hz\)
3 \(600\,Hz\)
4 \(400\,Hz\)
PHXI15:WAVES

355153 The tension in a stretched string fixed at both ends is changed by \(2 \%\), the fundamental frequency is found to get changed by \(15\;Hz\). Select the incorrect statement.

1 Wavelength of the string of fundamental frequency does not change
2 Velocity of propagation of wave changes by \(2 \%\)
3 Velocity of propagation of wave changes by \(1 \%\)
4 Original frequency is \(1500\;Hz\)
PHXI15:WAVES

355154 In a standing wave experiment, a \(1.2\;kg\) horizontal rope is fixed in place at its two ends( \(x\) \(=0\) and \(x = 2.0\;m\)) and made to oscillate up and down in the fundamental mode, at a frequency of \(5.0\,Hz\). At \(t = 0\), the point at \(x = 1.0\;m\) has zero displacement and is moving upward in the positive direction of \(y\) - axis with a transverse velocity \(3.14\;m/s\). The standing wave equation is

1 \(y=0.1 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
2 \(y=0.1 \sin (\pi x) \sin (10 \pi t)\)
3 \(y=0.05 \sin \left(\dfrac{\pi}{2} x\right) \cos (10 \pi t)\)
4 \(y=0.04 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
PHXI15:WAVES

355155 In a stationary wave

1 Amplitude is zero at antinodes
2 Amplitude is zero at nodes
3 Amplitude is maximum at nodes
4 Amplitude is zero at all points.
PHXI15:WAVES

355152 A wire under tension vibrates with a fundamental frequency of \(600\,Hz\). 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 \(200\,Hz\)
2 \(300\,Hz\)
3 \(600\,Hz\)
4 \(400\,Hz\)
PHXI15:WAVES

355153 The tension in a stretched string fixed at both ends is changed by \(2 \%\), the fundamental frequency is found to get changed by \(15\;Hz\). Select the incorrect statement.

1 Wavelength of the string of fundamental frequency does not change
2 Velocity of propagation of wave changes by \(2 \%\)
3 Velocity of propagation of wave changes by \(1 \%\)
4 Original frequency is \(1500\;Hz\)
PHXI15:WAVES

355154 In a standing wave experiment, a \(1.2\;kg\) horizontal rope is fixed in place at its two ends( \(x\) \(=0\) and \(x = 2.0\;m\)) and made to oscillate up and down in the fundamental mode, at a frequency of \(5.0\,Hz\). At \(t = 0\), the point at \(x = 1.0\;m\) has zero displacement and is moving upward in the positive direction of \(y\) - axis with a transverse velocity \(3.14\;m/s\). The standing wave equation is

1 \(y=0.1 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
2 \(y=0.1 \sin (\pi x) \sin (10 \pi t)\)
3 \(y=0.05 \sin \left(\dfrac{\pi}{2} x\right) \cos (10 \pi t)\)
4 \(y=0.04 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
PHXI15:WAVES

355155 In a stationary wave

1 Amplitude is zero at antinodes
2 Amplitude is zero at nodes
3 Amplitude is maximum at nodes
4 Amplitude is zero at all points.
PHXI15:WAVES

355152 A wire under tension vibrates with a fundamental frequency of \(600\,Hz\). 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 \(200\,Hz\)
2 \(300\,Hz\)
3 \(600\,Hz\)
4 \(400\,Hz\)
PHXI15:WAVES

355153 The tension in a stretched string fixed at both ends is changed by \(2 \%\), the fundamental frequency is found to get changed by \(15\;Hz\). Select the incorrect statement.

1 Wavelength of the string of fundamental frequency does not change
2 Velocity of propagation of wave changes by \(2 \%\)
3 Velocity of propagation of wave changes by \(1 \%\)
4 Original frequency is \(1500\;Hz\)
PHXI15:WAVES

355154 In a standing wave experiment, a \(1.2\;kg\) horizontal rope is fixed in place at its two ends( \(x\) \(=0\) and \(x = 2.0\;m\)) and made to oscillate up and down in the fundamental mode, at a frequency of \(5.0\,Hz\). At \(t = 0\), the point at \(x = 1.0\;m\) has zero displacement and is moving upward in the positive direction of \(y\) - axis with a transverse velocity \(3.14\;m/s\). The standing wave equation is

1 \(y=0.1 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
2 \(y=0.1 \sin (\pi x) \sin (10 \pi t)\)
3 \(y=0.05 \sin \left(\dfrac{\pi}{2} x\right) \cos (10 \pi t)\)
4 \(y=0.04 \sin \left(\dfrac{\pi}{2} x\right) \sin (10 \pi t)\)
PHXI15:WAVES

355155 In a stationary wave

1 Amplitude is zero at antinodes
2 Amplitude is zero at nodes
3 Amplitude is maximum at nodes
4 Amplitude is zero at all points.