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

354862 The given graph illustrates a transverse wave travelling on a string at a particular instant, and the points \(P,\,Q,\,R\) and \(S\) represent elements of the string. Which of the following statements about the motion of the elements is correct?
supporting img

1 The speed of the element at \(P\) is maximum.
2 The displacement of the element at \(Q\) is always zero.
3 The energy of the element at \(R\) is entirely kinetic.
4 The acceleration of the element at \(S\) is maximum.
PHXI15:WAVES

354863 A flexible steel cable of total length ' \(L\) ' and mass per unit length \(\mu\) hangs vertically (under it's own weight) from a support at upper end. If a small transverse pulse starts to move down in the wire from its support. The ratio of acceleration of the pulse at distance \(\dfrac{L}{4}\) from the support end to the acceleration of the of the pulse at distance \(\dfrac{L}{2}\) from the support is

1 \(1: 2\)
2 \(3: 2\)
3 \(\sqrt{2}: \sqrt{3}\)
4 \(1: 1\)
PHXI15:WAVES

354864 Equation of travelling wave on a stretched string of linear density \(4\;kg/m\) is \(y = 0.07\cos (250t - 15x)\) where distance and time are measured in SI units. The tension in the string is

1 \(66.67\,N\)
2 \(52.64\,N\)
3 \(85.62\,N\)
4 \(43.24\,N\)
PHXI15:WAVES

354865 A long, heavy, flexible rope with mass per unit length \(\mu\) is under a constant tension \(T\). A sudden movement causes a circular loop, of radius \(R\) to form at one end of the rope. The loop rolls along the rope with speed \(v\) as shown in the figure. Find the kinetic energy (in \(J\)) of this circular pulse. \(\left[ {\mu = 5 \times {{10}^{ - 2}}kg{m^{ - 1}},R = \frac{1}{{8\pi }}m,T = 16\;N} \right]\)
supporting img

1 4
2 8
3 2
4 6
PHXI15:WAVES

354862 The given graph illustrates a transverse wave travelling on a string at a particular instant, and the points \(P,\,Q,\,R\) and \(S\) represent elements of the string. Which of the following statements about the motion of the elements is correct?
supporting img

1 The speed of the element at \(P\) is maximum.
2 The displacement of the element at \(Q\) is always zero.
3 The energy of the element at \(R\) is entirely kinetic.
4 The acceleration of the element at \(S\) is maximum.
PHXI15:WAVES

354863 A flexible steel cable of total length ' \(L\) ' and mass per unit length \(\mu\) hangs vertically (under it's own weight) from a support at upper end. If a small transverse pulse starts to move down in the wire from its support. The ratio of acceleration of the pulse at distance \(\dfrac{L}{4}\) from the support end to the acceleration of the of the pulse at distance \(\dfrac{L}{2}\) from the support is

1 \(1: 2\)
2 \(3: 2\)
3 \(\sqrt{2}: \sqrt{3}\)
4 \(1: 1\)
PHXI15:WAVES

354864 Equation of travelling wave on a stretched string of linear density \(4\;kg/m\) is \(y = 0.07\cos (250t - 15x)\) where distance and time are measured in SI units. The tension in the string is

1 \(66.67\,N\)
2 \(52.64\,N\)
3 \(85.62\,N\)
4 \(43.24\,N\)
PHXI15:WAVES

354865 A long, heavy, flexible rope with mass per unit length \(\mu\) is under a constant tension \(T\). A sudden movement causes a circular loop, of radius \(R\) to form at one end of the rope. The loop rolls along the rope with speed \(v\) as shown in the figure. Find the kinetic energy (in \(J\)) of this circular pulse. \(\left[ {\mu = 5 \times {{10}^{ - 2}}kg{m^{ - 1}},R = \frac{1}{{8\pi }}m,T = 16\;N} \right]\)
supporting img

1 4
2 8
3 2
4 6
PHXI15:WAVES

354862 The given graph illustrates a transverse wave travelling on a string at a particular instant, and the points \(P,\,Q,\,R\) and \(S\) represent elements of the string. Which of the following statements about the motion of the elements is correct?
supporting img

1 The speed of the element at \(P\) is maximum.
2 The displacement of the element at \(Q\) is always zero.
3 The energy of the element at \(R\) is entirely kinetic.
4 The acceleration of the element at \(S\) is maximum.
PHXI15:WAVES

354863 A flexible steel cable of total length ' \(L\) ' and mass per unit length \(\mu\) hangs vertically (under it's own weight) from a support at upper end. If a small transverse pulse starts to move down in the wire from its support. The ratio of acceleration of the pulse at distance \(\dfrac{L}{4}\) from the support end to the acceleration of the of the pulse at distance \(\dfrac{L}{2}\) from the support is

1 \(1: 2\)
2 \(3: 2\)
3 \(\sqrt{2}: \sqrt{3}\)
4 \(1: 1\)
PHXI15:WAVES

354864 Equation of travelling wave on a stretched string of linear density \(4\;kg/m\) is \(y = 0.07\cos (250t - 15x)\) where distance and time are measured in SI units. The tension in the string is

1 \(66.67\,N\)
2 \(52.64\,N\)
3 \(85.62\,N\)
4 \(43.24\,N\)
PHXI15:WAVES

354865 A long, heavy, flexible rope with mass per unit length \(\mu\) is under a constant tension \(T\). A sudden movement causes a circular loop, of radius \(R\) to form at one end of the rope. The loop rolls along the rope with speed \(v\) as shown in the figure. Find the kinetic energy (in \(J\)) of this circular pulse. \(\left[ {\mu = 5 \times {{10}^{ - 2}}kg{m^{ - 1}},R = \frac{1}{{8\pi }}m,T = 16\;N} \right]\)
supporting img

1 4
2 8
3 2
4 6
PHXI15:WAVES

354862 The given graph illustrates a transverse wave travelling on a string at a particular instant, and the points \(P,\,Q,\,R\) and \(S\) represent elements of the string. Which of the following statements about the motion of the elements is correct?
supporting img

1 The speed of the element at \(P\) is maximum.
2 The displacement of the element at \(Q\) is always zero.
3 The energy of the element at \(R\) is entirely kinetic.
4 The acceleration of the element at \(S\) is maximum.
PHXI15:WAVES

354863 A flexible steel cable of total length ' \(L\) ' and mass per unit length \(\mu\) hangs vertically (under it's own weight) from a support at upper end. If a small transverse pulse starts to move down in the wire from its support. The ratio of acceleration of the pulse at distance \(\dfrac{L}{4}\) from the support end to the acceleration of the of the pulse at distance \(\dfrac{L}{2}\) from the support is

1 \(1: 2\)
2 \(3: 2\)
3 \(\sqrt{2}: \sqrt{3}\)
4 \(1: 1\)
PHXI15:WAVES

354864 Equation of travelling wave on a stretched string of linear density \(4\;kg/m\) is \(y = 0.07\cos (250t - 15x)\) where distance and time are measured in SI units. The tension in the string is

1 \(66.67\,N\)
2 \(52.64\,N\)
3 \(85.62\,N\)
4 \(43.24\,N\)
PHXI15:WAVES

354865 A long, heavy, flexible rope with mass per unit length \(\mu\) is under a constant tension \(T\). A sudden movement causes a circular loop, of radius \(R\) to form at one end of the rope. The loop rolls along the rope with speed \(v\) as shown in the figure. Find the kinetic energy (in \(J\)) of this circular pulse. \(\left[ {\mu = 5 \times {{10}^{ - 2}}kg{m^{ - 1}},R = \frac{1}{{8\pi }}m,T = 16\;N} \right]\)
supporting img

1 4
2 8
3 2
4 6