Superposition of Transverse Waves
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PHXI15:WAVES

355096 A sonometer wire supports a \(4\;kg\) load and vibrates in fundamental mode with a tuning fork of frequency \(416\;Hz\). The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

1 \(2\;kg\)
2 \(1\;kg\)
3 \(16\;kg\)
4 \(4\;kg\)
PHXI15:WAVES

355097 When the string of a sonometer of length \(L\) between the bridges vibrates in the first overtone, the amplitude of vibration is maximum at:

1 \((L / 4)\) and \((3 L / 4)\)
2 \(L / 2\)
3 \(\dfrac{L}{8}, \dfrac{3 L}{8}, \dfrac{5 L}{8}, \dfrac{7 L}{8}\)
4 \((L / 6),(3 L / 6)\), and \((5 L / 6)\)
PHXI15:WAVES

355098 When tension \(T\) is applied to sonometer wire of length \(l\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by \(8\,N\) the fundamental frequency becomes three times the earlier fundamental frequency \(n\). The initial tension applied to the wire (in newton) was

1 2.0
2 2.5
3 0.5
4 1.0
PHXI15:WAVES

355099 A sonometer wire is unison with a tuning fork, when it is stretched by weight \(w\) and the corresponding resonating length is \(L_{1}\). If the weight is reduced to \(\left(\dfrac{W}{4}\right)\), the corresponding resonating length becomes \(L_{2}\). The ratio \(\left(\dfrac{L_{1}}{L_{2}}\right)\) is

1 \(4: 1\)
2 \(1: 4\)
3 \(1: 2\)
4 \(2: 1\)
PHXI15:WAVES

355096 A sonometer wire supports a \(4\;kg\) load and vibrates in fundamental mode with a tuning fork of frequency \(416\;Hz\). The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

1 \(2\;kg\)
2 \(1\;kg\)
3 \(16\;kg\)
4 \(4\;kg\)
PHXI15:WAVES

355097 When the string of a sonometer of length \(L\) between the bridges vibrates in the first overtone, the amplitude of vibration is maximum at:

1 \((L / 4)\) and \((3 L / 4)\)
2 \(L / 2\)
3 \(\dfrac{L}{8}, \dfrac{3 L}{8}, \dfrac{5 L}{8}, \dfrac{7 L}{8}\)
4 \((L / 6),(3 L / 6)\), and \((5 L / 6)\)
PHXI15:WAVES

355098 When tension \(T\) is applied to sonometer wire of length \(l\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by \(8\,N\) the fundamental frequency becomes three times the earlier fundamental frequency \(n\). The initial tension applied to the wire (in newton) was

1 2.0
2 2.5
3 0.5
4 1.0
PHXI15:WAVES

355099 A sonometer wire is unison with a tuning fork, when it is stretched by weight \(w\) and the corresponding resonating length is \(L_{1}\). If the weight is reduced to \(\left(\dfrac{W}{4}\right)\), the corresponding resonating length becomes \(L_{2}\). The ratio \(\left(\dfrac{L_{1}}{L_{2}}\right)\) is

1 \(4: 1\)
2 \(1: 4\)
3 \(1: 2\)
4 \(2: 1\)
PHXI15:WAVES

355096 A sonometer wire supports a \(4\;kg\) load and vibrates in fundamental mode with a tuning fork of frequency \(416\;Hz\). The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

1 \(2\;kg\)
2 \(1\;kg\)
3 \(16\;kg\)
4 \(4\;kg\)
PHXI15:WAVES

355097 When the string of a sonometer of length \(L\) between the bridges vibrates in the first overtone, the amplitude of vibration is maximum at:

1 \((L / 4)\) and \((3 L / 4)\)
2 \(L / 2\)
3 \(\dfrac{L}{8}, \dfrac{3 L}{8}, \dfrac{5 L}{8}, \dfrac{7 L}{8}\)
4 \((L / 6),(3 L / 6)\), and \((5 L / 6)\)
PHXI15:WAVES

355098 When tension \(T\) is applied to sonometer wire of length \(l\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by \(8\,N\) the fundamental frequency becomes three times the earlier fundamental frequency \(n\). The initial tension applied to the wire (in newton) was

1 2.0
2 2.5
3 0.5
4 1.0
PHXI15:WAVES

355099 A sonometer wire is unison with a tuning fork, when it is stretched by weight \(w\) and the corresponding resonating length is \(L_{1}\). If the weight is reduced to \(\left(\dfrac{W}{4}\right)\), the corresponding resonating length becomes \(L_{2}\). The ratio \(\left(\dfrac{L_{1}}{L_{2}}\right)\) is

1 \(4: 1\)
2 \(1: 4\)
3 \(1: 2\)
4 \(2: 1\)
PHXI15:WAVES

355096 A sonometer wire supports a \(4\;kg\) load and vibrates in fundamental mode with a tuning fork of frequency \(416\;Hz\). The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to

1 \(2\;kg\)
2 \(1\;kg\)
3 \(16\;kg\)
4 \(4\;kg\)
PHXI15:WAVES

355097 When the string of a sonometer of length \(L\) between the bridges vibrates in the first overtone, the amplitude of vibration is maximum at:

1 \((L / 4)\) and \((3 L / 4)\)
2 \(L / 2\)
3 \(\dfrac{L}{8}, \dfrac{3 L}{8}, \dfrac{5 L}{8}, \dfrac{7 L}{8}\)
4 \((L / 6),(3 L / 6)\), and \((5 L / 6)\)
PHXI15:WAVES

355098 When tension \(T\) is applied to sonometer wire of length \(l\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by \(8\,N\) the fundamental frequency becomes three times the earlier fundamental frequency \(n\). The initial tension applied to the wire (in newton) was

1 2.0
2 2.5
3 0.5
4 1.0
PHXI15:WAVES

355099 A sonometer wire is unison with a tuning fork, when it is stretched by weight \(w\) and the corresponding resonating length is \(L_{1}\). If the weight is reduced to \(\left(\dfrac{W}{4}\right)\), the corresponding resonating length becomes \(L_{2}\). The ratio \(\left(\dfrac{L_{1}}{L_{2}}\right)\) is

1 \(4: 1\)
2 \(1: 4\)
3 \(1: 2\)
4 \(2: 1\)