23.21 Reason and explain Waves (any type) are incident from the left side on a b

Question

23.21 Reason and explain Waves (any type) are incident from the left side on a barrier with two small openings. Consider what happens on the right side of the barrier. According to Huygens principle, these openings become wave sources. In the illustration, we represent the wave fronts leav- ing these sources with dark and light circles. The solid dark lines represent wave crests, and the lighter gray lines represent the troughs beyond the slits at one instant of time. a. Describe what the crests might represent for each of the following types of waves: water waves, sound waves, and light waves. sand weves b. Indicate with the letters "dc" (double crest) places on line 0 that are equal distance from the wave sources (the open- ings) and whcre the crests add to form a disturbancc that is twice as big as the wave amplitude from one source. C. Indicate with the letters "de (double trough) places on line 0 that are equal distance from the sources and where the wave troughs add to form a negative disturbance whose magnitude is twice the amplitude of a wave trough from one source 23-6 CRAPTER TWENTY-THREE WAVE OPTICS

Explanation / Answer

a] Crest is a point of maximum displacement of a wave. For a water wave, it is the maximum displacement of a water molecule from the equilibrium.

for sound waves, it is the maximum displacement of the molecules in a medium from their mean position. It denotes compression and has a highest pressure.

for light waves, it is the maximum value of Electric field / Magnetic field in the given medium.

b] DC (double crest) are positions on the line 0 where the two crests (dark circles of the two waves) meet in phase and produce a resultant displacement which is twice of the crest of individual waves.

Mark it on horizontal line 0 in places where the two dark circles intersect. These are positions of maximum displacement (constructive interference).

c] DT are positions on the line 0 where the two troughs (light grey circles) meet in phase and produce a resultant displacement that is twice the troughs of individual waves.

Mark it on the line 0 in places where the light grey circles intersect each other.

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