T102:

1. T102: Q1. A wave on a stretched string is described by the displacement wave y = 0.400 sin (300t – 15.0x), where x and y are in meters and t is in seconds. What is the phase difference between two points on the string 21.0 cm apart? (Ans: 3.15 rad Q2. A rope of length 4.24 m and mass 1.27 kg is under a tension of 475 N. It oscillates with a frequency of 11.2 Hz. If the oscillation amplitude is 6.32 cm, how much power is required to keep the rope oscillating? (Ans: 118 W Q3. Two sinusoidal waves travel simultaneously through the same medium. The first wave is described by y1(x,t) = ymcos(kx-ωt) and the second wave by y2(x,t) = ymcos(kx-ωt + φ). If the amplitude of the resulting superposition is ym/2, what is the value of φ in radian? (Ans: 2.6 Q4. A string, fixed at both ends, has a fundamental frequency fa = 248 Hz. The tension τ in the same string is changed so that the new fundamental frequency is fb = 496 Hz. What is the value of the ratio τb/τa? 4.00 T101: Q4. Vibrations with frequency 600 Hz are established on a string of length 1.33 m that is clamped at both ends. The speed of waves on the string is 400 m/s. How many antinodes are contained in the resulting standing wave pattern?(Ans: 4

2. T992: Q2.A transverse sinusoidal travelling wave on a stretched string is given by: y (x,t) = 0.00230 sin (6.98 x + 742 t), where x and y are in meters, and t is in seconds. The length of the string is 1.35 m and its mass is 3.38 g. What is the average power carried by the wave? (Ans) 0.387 W. Q4.Standing waves are produced by the interference of two traveling sinusoidal waves, each of frequency 100 Hz. The distance from the 2nd node to the 5th node is 60 cm. The wavelength of each of the two original waves is: A) 40 cm Q5. Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string which is clamped at each end. Excluding the nodes at the ends of the string, how many nodes appear in the resulting standing wave? A) 7 Q6.Two identical strings (same mass and length), each fixed at both ends, are arranged near each other. If string A starts oscillating in its fundamental mode, it is observed that string B will begin vibrating in its third normal mode (n = 3). What is the ratio of the tension in string B to that in string A? A) 1/9\ T083: Q1.The function y(x,t) = 15.0 cos(x- 20 t) with x and y in meters and t in seconds, describes a wave on a taut string. What is the mass of one meter of the string if the tension in the string is 40.0 N? A) 100 g Q4.Energy is transmitted at the rate of P0 by a wave of frequency f0 on a string under tension 0 .What is the new energy transmission rate P in terms of P0 if the tension is increased to 40 and frequency is decreased to f0/2? A) P= P0/2