Chapter Test Questions

1. A mass oscillates with amplitude 0.2 m and frequency 5 Hz. Find its displacement at t = 0.02 s, assuming it starts from equilibrium.
2. A string fixed at both ends is vibrating at its second harmonic with a wavelength of 1 m. Determine the fundamental frequency if the wave speed is 340 m/s.
3. Two waves of amplitudes 0.04 m and 0.06 m interfere constructively. What is the resultant amplitude?
4. A mass on a spring with amplitude 0.1 m has a maximum speed of 1.5 m/s. Find the angular frequency and period of oscillation.
5. A tube open at both ends resonates at 256 Hz. If the speed of sound is 340 m/s, find the wavelength and length of the tube.
6. Two waves of equal amplitude 0.03 m and frequency 50 Hz interfere destructively. Find the resultant amplitude.
7. A string of length 1.2 m fixed at both ends vibrates in its third harmonic with a wave speed of 180 m/s. Find the fundamental frequency.
8. A mass in SHM has displacement x = 0.05 m at t = 0.01 s. The amplitude is 0.1 m and frequency is 5 Hz. Find the phase constant.
9. A sound wave of frequency 512 Hz travels through air at 340 m/s. Calculate its wavelength and discuss if it corresponds to normal air conditions.
10. A spring-mass system has period 0.4 s and amplitude 0.08 m. Determine the maximum acceleration and maximum force on the mass if m = 0.5 kg.