October 19, 2017 (You have 2 hours to finish the exam. You may use your equation
ID: 1783793 • Letter: O
Question
October 19, 2017 (You have 2 hours to finish the exam. You may use your equation sheet and a calculator only.) Part I. Multiple choice: Circle one answer (1 pt each) 1. Fully constructive interference between two sinusoidal waves of the same frequency occurs only if they: (A) travel in the same direction and are 270° out of phase (B) travel in the same direction and are 45o out of phase C travel in the same direction and are in phase (D) travel in the same direction and are 180° out of phase (E) travel in the same direction and are 90 out of phase Fully destructive interference between two sinusoidal waves of the same frequency and amplitude occurs only if they: (A) travel in the same direction and are 270° out of phase (B) travel in the same direction and are 45° out of phase (C) travel in the same direction and are in phase (D) travel in the same direction and are 180° out of phase (E) travel in the same direction and are 90° out of phase 2. 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. How many nodes appear in the resulting standing wave? (A) 4 (B) 5 3. (D) 8 (E) 9 4· The difference between transverse and longitudinal waves (A) depends on the frequency of the wave (B) depends on the wavelength of the wave (C) depends on the direction of propagation of the wave (D) depends on the direction of oscillation of the medium relative to the direction of propagation of the wave (E) there is no difference, they are just two ways of describing the same phenomenonExplanation / Answer
2. Fully destructive interference occurs when waves are travelling 180 degree out of phase but in same direction. This phase difference creates destructive interference.
3. 20/5 = 4 full waves with 8 harmonics. This equals to 7 nodes.
4.The displacement or oscillation of medium is perpendicular to the direction of propagation of wave in transverse waves and is parallel in case of longitudinal waves.
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