Download Different Waves - Physics - Exam Paper and more Exams Physics in PDF only on Docsity! 1. Consider two waves on the same vibrating string. Which of the following statements are true: (a) two different waves might have different amplitudes, (b) two different waves might have different frequencies, (c) two different waves might have different wave speeds, (d) two different waves with the same frequency might have different wavelengths. (a) a, b (b) a, d (c) a, b, d (d) a, b, c, d (e) c, d 2. A 0.5-kg mass on a spring has its position as a function of time given by ( ) 0.03 sin 0.2 2 tx t m s π⎛= × −⎜ ⎝ ⎠ ⎞ ⎟ . Find the spring constant. (a) 2.5 N/m (b) 6.25 N/m (c) 12.5 N/m (d) 25 N/m (e) 50 N/m 3. A harmonic oscillator has angular frequency ω and amplitude A. What is the magnitude of the displacement when the elastic potential energy is equal to the kinetic energy? (Assume that the potential energy U=0 at equilibrium.) (a) 0 (b) / 3A (c) / 2A (d) A (e) 2A 4. A transverse wave is propagated in a string stretched along the x-axis. The equation of the wave, in SI units, is given by: y = 0.005 cos [π (38t - 14x)]. The wave speed, including the sense of direction along the x-axis, in SI units, is closest to: (a) -3.7 (b) 2.7 (c) -2.7 (d) 0.37 (e) zero 5. A transverse wave is propagated in a string stretched along the x-axis. The equation of the wave, in SI units, is given by: y(x,t) = 0.6 cos[π (46t - 12x)]. The maximum speed of a particle on the string, in SI units, is closest to: (a) 27.6 m/s (b) 36.0 m/s (c) 55.2 m/s (d) 86.7 m/s (e) 112 m/s 6. The howler monkey is the loudest land animal and can be heard up to a distance of 8 km. Assume the acoustic output of a howler to be uniform in all directions. The distance at which the intensity level of a howler's call is 28 dB, in SI units, is closest to: (a) 320 m (b) 480 m (c) 630 m (d) 980 m (e) 1250 m 7. After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 0.5 m. She finds that the pendulum makes 100 complete swings in a time of 135 s. What is the value of the acceleration due to gravity at the planet’s surface? (a) 2.3 m/s2 (b) 4.7 m/s2 (c) 10.8 m/s2 (d) 12.6 m/s2 (e) 25.2 m/s2 8. A jet travels at a speed that is two times greater than the speed of sound. Find the shock wave angle α. (The wave front is a cone with angle α). (a) 150 (b) 300 (c) 450 (d) 600 (e) 900 9. The plot shows velocity v versus time t for a particle oscillating in simple harmonic motion about the origin. At which point is the particle at its most negative position?
