Speed of a Transverse Wave on a Stretched String
PHXI15:WAVES

354841 A smooth string is connected with two hanging blocks of mass \(M\) & \(2M\) after passing over the pulleys \(P\) \& Q. Mass of the string between \(P\) & \(Q\) is \(m( < < M)\). If the system is released from rest at time \(t = 0\), then time taken by a transverse pulse produced at \(P\) at \(t = 0\) to move to point \(Q\) is \(\sqrt{\dfrac{x l}{g}}\left[\sqrt{\dfrac{4 M}{m}+2}-\sqrt{\dfrac{4 M}{m}}\right]\). The value of \(x\) is____
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1 2
2 3
3 4
4 1
PHXI15:WAVES

354842 A uniform wire of length \(L\), diameter \(D\) and density \(\rho\) is stretched under a tension \(T\). The correct relation between its fundamental frequency ' \(f\) ', the length \(L\) and the diameter \(D\) and density \(\rho\) is

1 \(f \propto \dfrac{\sqrt{\rho}}{L D^{2}}\)
2 \(f \propto \dfrac{1}{L \sqrt{D \rho}}\)
3 \(f \propto \dfrac{1}{D^{2} \sqrt{\rho}}\)
4 \(f \propto \dfrac{1}{L D \sqrt{\rho}}\)
PHXI15:WAVES

354843 A \(10\,m\) long steel wire has mass \(5\,g\). If the wire is under a tension of \(80\,N\), the speed of transverse waves on the wire is

1 \(100\;m{s^{ - 1}}\)
2 \(200\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(500\;m{s^{ - 1}}\)
PHXI15:WAVES

354844 A string has a mass \(10.0\;g\) and a length \(L = 3\;m\). Its two ends are tied to two walls at a distance \(D = 2\;m\) apart. Two blocks of mass \(M = 2\;kg\) each are suspended from the string as shown in figure. In what time will a wave pulse sent from a point \(A\) reach point \(B\) ?
supporting img

1 \(13.9\;ms\)
2 \(21.9\;ms\)
3 \(65.8\;ms\)
4 \(43\;ms\)
PHXI15:WAVES

354841 A smooth string is connected with two hanging blocks of mass \(M\) & \(2M\) after passing over the pulleys \(P\) \& Q. Mass of the string between \(P\) & \(Q\) is \(m( < < M)\). If the system is released from rest at time \(t = 0\), then time taken by a transverse pulse produced at \(P\) at \(t = 0\) to move to point \(Q\) is \(\sqrt{\dfrac{x l}{g}}\left[\sqrt{\dfrac{4 M}{m}+2}-\sqrt{\dfrac{4 M}{m}}\right]\). The value of \(x\) is____
supporting img

1 2
2 3
3 4
4 1
PHXI15:WAVES

354842 A uniform wire of length \(L\), diameter \(D\) and density \(\rho\) is stretched under a tension \(T\). The correct relation between its fundamental frequency ' \(f\) ', the length \(L\) and the diameter \(D\) and density \(\rho\) is

1 \(f \propto \dfrac{\sqrt{\rho}}{L D^{2}}\)
2 \(f \propto \dfrac{1}{L \sqrt{D \rho}}\)
3 \(f \propto \dfrac{1}{D^{2} \sqrt{\rho}}\)
4 \(f \propto \dfrac{1}{L D \sqrt{\rho}}\)
PHXI15:WAVES

354843 A \(10\,m\) long steel wire has mass \(5\,g\). If the wire is under a tension of \(80\,N\), the speed of transverse waves on the wire is

1 \(100\;m{s^{ - 1}}\)
2 \(200\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(500\;m{s^{ - 1}}\)
PHXI15:WAVES

354844 A string has a mass \(10.0\;g\) and a length \(L = 3\;m\). Its two ends are tied to two walls at a distance \(D = 2\;m\) apart. Two blocks of mass \(M = 2\;kg\) each are suspended from the string as shown in figure. In what time will a wave pulse sent from a point \(A\) reach point \(B\) ?
supporting img

1 \(13.9\;ms\)
2 \(21.9\;ms\)
3 \(65.8\;ms\)
4 \(43\;ms\)
PHXI15:WAVES

354841 A smooth string is connected with two hanging blocks of mass \(M\) & \(2M\) after passing over the pulleys \(P\) \& Q. Mass of the string between \(P\) & \(Q\) is \(m( < < M)\). If the system is released from rest at time \(t = 0\), then time taken by a transverse pulse produced at \(P\) at \(t = 0\) to move to point \(Q\) is \(\sqrt{\dfrac{x l}{g}}\left[\sqrt{\dfrac{4 M}{m}+2}-\sqrt{\dfrac{4 M}{m}}\right]\). The value of \(x\) is____
supporting img

1 2
2 3
3 4
4 1
PHXI15:WAVES

354842 A uniform wire of length \(L\), diameter \(D\) and density \(\rho\) is stretched under a tension \(T\). The correct relation between its fundamental frequency ' \(f\) ', the length \(L\) and the diameter \(D\) and density \(\rho\) is

1 \(f \propto \dfrac{\sqrt{\rho}}{L D^{2}}\)
2 \(f \propto \dfrac{1}{L \sqrt{D \rho}}\)
3 \(f \propto \dfrac{1}{D^{2} \sqrt{\rho}}\)
4 \(f \propto \dfrac{1}{L D \sqrt{\rho}}\)
PHXI15:WAVES

354843 A \(10\,m\) long steel wire has mass \(5\,g\). If the wire is under a tension of \(80\,N\), the speed of transverse waves on the wire is

1 \(100\;m{s^{ - 1}}\)
2 \(200\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(500\;m{s^{ - 1}}\)
PHXI15:WAVES

354844 A string has a mass \(10.0\;g\) and a length \(L = 3\;m\). Its two ends are tied to two walls at a distance \(D = 2\;m\) apart. Two blocks of mass \(M = 2\;kg\) each are suspended from the string as shown in figure. In what time will a wave pulse sent from a point \(A\) reach point \(B\) ?
supporting img

1 \(13.9\;ms\)
2 \(21.9\;ms\)
3 \(65.8\;ms\)
4 \(43\;ms\)
PHXI15:WAVES

354841 A smooth string is connected with two hanging blocks of mass \(M\) & \(2M\) after passing over the pulleys \(P\) \& Q. Mass of the string between \(P\) & \(Q\) is \(m( < < M)\). If the system is released from rest at time \(t = 0\), then time taken by a transverse pulse produced at \(P\) at \(t = 0\) to move to point \(Q\) is \(\sqrt{\dfrac{x l}{g}}\left[\sqrt{\dfrac{4 M}{m}+2}-\sqrt{\dfrac{4 M}{m}}\right]\). The value of \(x\) is____
supporting img

1 2
2 3
3 4
4 1
PHXI15:WAVES

354842 A uniform wire of length \(L\), diameter \(D\) and density \(\rho\) is stretched under a tension \(T\). The correct relation between its fundamental frequency ' \(f\) ', the length \(L\) and the diameter \(D\) and density \(\rho\) is

1 \(f \propto \dfrac{\sqrt{\rho}}{L D^{2}}\)
2 \(f \propto \dfrac{1}{L \sqrt{D \rho}}\)
3 \(f \propto \dfrac{1}{D^{2} \sqrt{\rho}}\)
4 \(f \propto \dfrac{1}{L D \sqrt{\rho}}\)
PHXI15:WAVES

354843 A \(10\,m\) long steel wire has mass \(5\,g\). If the wire is under a tension of \(80\,N\), the speed of transverse waves on the wire is

1 \(100\;m{s^{ - 1}}\)
2 \(200\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(500\;m{s^{ - 1}}\)
PHXI15:WAVES

354844 A string has a mass \(10.0\;g\) and a length \(L = 3\;m\). Its two ends are tied to two walls at a distance \(D = 2\;m\) apart. Two blocks of mass \(M = 2\;kg\) each are suspended from the string as shown in figure. In what time will a wave pulse sent from a point \(A\) reach point \(B\) ?
supporting img

1 \(13.9\;ms\)
2 \(21.9\;ms\)
3 \(65.8\;ms\)
4 \(43\;ms\)