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

354854 A heavy ball of mass \(M\) is suspended from the ceiling of a car by a light string of mass \(m(m < < \) \(M)\). When the car is at rest, the speed of transverse waves in the string is \(60\;m{s^{ - 1}}\). When the car has acceleration \(a\), the wave speed increases to \(60.5\;m{s^{ - 1}}\). The value of \(a\), in terms of gravitational acceleration \(g\), is closest to

1 \(\dfrac{g}{5}\)
2 \(\dfrac{g}{20}\)
3 \(\dfrac{g}{30}\)
4 \(\dfrac{g}{10}\)
PHXI15:WAVES

354855 A uniform rope of length \(12\,m\) and mass \(6\,kg\) hangs vertically from a rigid support. A block of mass \(2\,kg\) is attached to the free end of the rope. A transverse pulse of wavelength \(0.06\,m\) is produced at the lower end of the rope. What is the wavelength of the pulse (in \(m\)) when it reaches the top of the rope?
supporting img

1 0.06
2 0.25
3 0.12
4 0.1
PHXI15:WAVES

354856 A string is hanging from a rigid support. A transverse wave pulse is generated at its free end. The speed of wave pulse at distance \(x\) from its free and is proportional to

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

354857 Two strings \(A\) and \(B\) of same material are stretched by same tension. The radius of the string \(A\) is double the radius of string \(B\). Transverse wave travels on string \(A\) with speed \(v_{A}\) and on string \(B\) with speed \(v_{B}\). The ratio \(\dfrac{v_{A}}{v_{B}}\) is

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

354854 A heavy ball of mass \(M\) is suspended from the ceiling of a car by a light string of mass \(m(m < < \) \(M)\). When the car is at rest, the speed of transverse waves in the string is \(60\;m{s^{ - 1}}\). When the car has acceleration \(a\), the wave speed increases to \(60.5\;m{s^{ - 1}}\). The value of \(a\), in terms of gravitational acceleration \(g\), is closest to

1 \(\dfrac{g}{5}\)
2 \(\dfrac{g}{20}\)
3 \(\dfrac{g}{30}\)
4 \(\dfrac{g}{10}\)
PHXI15:WAVES

354855 A uniform rope of length \(12\,m\) and mass \(6\,kg\) hangs vertically from a rigid support. A block of mass \(2\,kg\) is attached to the free end of the rope. A transverse pulse of wavelength \(0.06\,m\) is produced at the lower end of the rope. What is the wavelength of the pulse (in \(m\)) when it reaches the top of the rope?
supporting img

1 0.06
2 0.25
3 0.12
4 0.1
PHXI15:WAVES

354856 A string is hanging from a rigid support. A transverse wave pulse is generated at its free end. The speed of wave pulse at distance \(x\) from its free and is proportional to

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

354857 Two strings \(A\) and \(B\) of same material are stretched by same tension. The radius of the string \(A\) is double the radius of string \(B\). Transverse wave travels on string \(A\) with speed \(v_{A}\) and on string \(B\) with speed \(v_{B}\). The ratio \(\dfrac{v_{A}}{v_{B}}\) is

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

354854 A heavy ball of mass \(M\) is suspended from the ceiling of a car by a light string of mass \(m(m < < \) \(M)\). When the car is at rest, the speed of transverse waves in the string is \(60\;m{s^{ - 1}}\). When the car has acceleration \(a\), the wave speed increases to \(60.5\;m{s^{ - 1}}\). The value of \(a\), in terms of gravitational acceleration \(g\), is closest to

1 \(\dfrac{g}{5}\)
2 \(\dfrac{g}{20}\)
3 \(\dfrac{g}{30}\)
4 \(\dfrac{g}{10}\)
PHXI15:WAVES

354855 A uniform rope of length \(12\,m\) and mass \(6\,kg\) hangs vertically from a rigid support. A block of mass \(2\,kg\) is attached to the free end of the rope. A transverse pulse of wavelength \(0.06\,m\) is produced at the lower end of the rope. What is the wavelength of the pulse (in \(m\)) when it reaches the top of the rope?
supporting img

1 0.06
2 0.25
3 0.12
4 0.1
PHXI15:WAVES

354856 A string is hanging from a rigid support. A transverse wave pulse is generated at its free end. The speed of wave pulse at distance \(x\) from its free and is proportional to

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

354857 Two strings \(A\) and \(B\) of same material are stretched by same tension. The radius of the string \(A\) is double the radius of string \(B\). Transverse wave travels on string \(A\) with speed \(v_{A}\) and on string \(B\) with speed \(v_{B}\). The ratio \(\dfrac{v_{A}}{v_{B}}\) is

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

354854 A heavy ball of mass \(M\) is suspended from the ceiling of a car by a light string of mass \(m(m < < \) \(M)\). When the car is at rest, the speed of transverse waves in the string is \(60\;m{s^{ - 1}}\). When the car has acceleration \(a\), the wave speed increases to \(60.5\;m{s^{ - 1}}\). The value of \(a\), in terms of gravitational acceleration \(g\), is closest to

1 \(\dfrac{g}{5}\)
2 \(\dfrac{g}{20}\)
3 \(\dfrac{g}{30}\)
4 \(\dfrac{g}{10}\)
PHXI15:WAVES

354855 A uniform rope of length \(12\,m\) and mass \(6\,kg\) hangs vertically from a rigid support. A block of mass \(2\,kg\) is attached to the free end of the rope. A transverse pulse of wavelength \(0.06\,m\) is produced at the lower end of the rope. What is the wavelength of the pulse (in \(m\)) when it reaches the top of the rope?
supporting img

1 0.06
2 0.25
3 0.12
4 0.1
PHXI15:WAVES

354856 A string is hanging from a rigid support. A transverse wave pulse is generated at its free end. The speed of wave pulse at distance \(x\) from its free and is proportional to

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

354857 Two strings \(A\) and \(B\) of same material are stretched by same tension. The radius of the string \(A\) is double the radius of string \(B\). Transverse wave travels on string \(A\) with speed \(v_{A}\) and on string \(B\) with speed \(v_{B}\). The ratio \(\dfrac{v_{A}}{v_{B}}\) is

1 \(\dfrac{1}{4}\)
2 \(\dfrac{1}{2}\)
3 2
4 4