Superposition of Transverse Waves
PHXI15:WAVES

355169 In a stationary wave

1 There is no net transfer of energy
2 Energy is constant at all points
3 Amplitude is same for all points
4 Energy and amplitude is same at all points
PHXI15:WAVES

355170 The equation of a stationary wave is \(y=2 \sin \left(\dfrac{\pi x}{15}\right) \cos (48 \pi t)\). The distance between a node and its next antinode is

1 22.5 units
2 7.5 units
3 30 units
4 1.5 units
PHXI15:WAVES

355171 A string vibrates with a frequency 200 \(Hz\) . Its length is doubled and its tension is altered until it begins to vibrate with frequency 300 \(Hz\) . What is the ratio of the new tension to the original tension?

1 3
2 9
3 12
4 5
PHXI15:WAVES

355172 Two vibrating strings of the same material but lengths \(L\) and \(2 L\) have radii \(2 r\) and \(r\) respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length \(L\) with frequency \(v_{1}\) and the other with frequency \(v_{2}\). The ratio \(v_{1} / v_{2}\) is

1 2
2 4
3 3
4 1
PHXI15:WAVES

355169 In a stationary wave

1 There is no net transfer of energy
2 Energy is constant at all points
3 Amplitude is same for all points
4 Energy and amplitude is same at all points
PHXI15:WAVES

355170 The equation of a stationary wave is \(y=2 \sin \left(\dfrac{\pi x}{15}\right) \cos (48 \pi t)\). The distance between a node and its next antinode is

1 22.5 units
2 7.5 units
3 30 units
4 1.5 units
PHXI15:WAVES

355171 A string vibrates with a frequency 200 \(Hz\) . Its length is doubled and its tension is altered until it begins to vibrate with frequency 300 \(Hz\) . What is the ratio of the new tension to the original tension?

1 3
2 9
3 12
4 5
PHXI15:WAVES

355172 Two vibrating strings of the same material but lengths \(L\) and \(2 L\) have radii \(2 r\) and \(r\) respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length \(L\) with frequency \(v_{1}\) and the other with frequency \(v_{2}\). The ratio \(v_{1} / v_{2}\) is

1 2
2 4
3 3
4 1
PHXI15:WAVES

355169 In a stationary wave

1 There is no net transfer of energy
2 Energy is constant at all points
3 Amplitude is same for all points
4 Energy and amplitude is same at all points
PHXI15:WAVES

355170 The equation of a stationary wave is \(y=2 \sin \left(\dfrac{\pi x}{15}\right) \cos (48 \pi t)\). The distance between a node and its next antinode is

1 22.5 units
2 7.5 units
3 30 units
4 1.5 units
PHXI15:WAVES

355171 A string vibrates with a frequency 200 \(Hz\) . Its length is doubled and its tension is altered until it begins to vibrate with frequency 300 \(Hz\) . What is the ratio of the new tension to the original tension?

1 3
2 9
3 12
4 5
PHXI15:WAVES

355172 Two vibrating strings of the same material but lengths \(L\) and \(2 L\) have radii \(2 r\) and \(r\) respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length \(L\) with frequency \(v_{1}\) and the other with frequency \(v_{2}\). The ratio \(v_{1} / v_{2}\) is

1 2
2 4
3 3
4 1
PHXI15:WAVES

355169 In a stationary wave

1 There is no net transfer of energy
2 Energy is constant at all points
3 Amplitude is same for all points
4 Energy and amplitude is same at all points
PHXI15:WAVES

355170 The equation of a stationary wave is \(y=2 \sin \left(\dfrac{\pi x}{15}\right) \cos (48 \pi t)\). The distance between a node and its next antinode is

1 22.5 units
2 7.5 units
3 30 units
4 1.5 units
PHXI15:WAVES

355171 A string vibrates with a frequency 200 \(Hz\) . Its length is doubled and its tension is altered until it begins to vibrate with frequency 300 \(Hz\) . What is the ratio of the new tension to the original tension?

1 3
2 9
3 12
4 5
PHXI15:WAVES

355172 Two vibrating strings of the same material but lengths \(L\) and \(2 L\) have radii \(2 r\) and \(r\) respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length \(L\) with frequency \(v_{1}\) and the other with frequency \(v_{2}\). The ratio \(v_{1} / v_{2}\) is

1 2
2 4
3 3
4 1