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Two strings of identical material and length, but different radii r1 and r2 (r1 > r2), are subjected to the same tension. If a transverse wave is generated in both, the ratio of the speed of the wave in the thicker string to that in the thinner string is:
r1/r2
r2/r1
(r1/r2)^2
sqrt(r1/r2)
A wave travels along a string. If the tension in the string is doubled while the linear mass density remains constant, what happens to the speed of the wave?
Increases by a factor of 2
Increases by a factor of β2
Remains the same
Decreases by a factor of 2
A transverse wave travels along a string with a speed of 10 m/s. If the tension in the string is doubled, what will be the new speed of the wave?
5 m/s
10 m/s
14.14 m/s
20 m/s
The speed of a transverse wave on a string is 20 m/s. If the linear mass density of the string is 0.01 kg/m, what is the tension in the string?
0.2 N
2 N
4 N
8 N
Which of the following factors does NOT affect the speed of a transverse wave on a string?
Tension
Linear mass density
Amplitude
Material of the string
If the linear mass density of a string is quadrupled, keeping the tension constant, the speed of a transverse wave on the string will:
Become double
Become half
Remain the same
Become four times
A string with a linear mass density of 0.001 kg/m is under a tension of 100 N. What is the speed of a transverse wave on this string?
10 m/s
100 m/s
316.2 m/s
1000 m/s
A string fixed at both ends vibrates in its third harmonic with a frequency of 600 Hz. If the tension in the string is increased by a factor of 4, keeping the linear mass density constant, what is the new fundamental frequency?
200 Hz
300 Hz
400 Hz
800 Hz
Which of the following factors does NOT affect the fundamental frequency of a vibrating sonometer wire?
Length of the wire
Tension in the wire
Diameter of the wire
Material of the wire
The speed of a transverse wave on a string is determined by which of the following factors?
Amplitude and frequency of the wave
Wavelength and frequency of the wave
Tension in the string and linear mass density
Amplitude and wavelength of the wave
