(a) Fig. 2 represents two waves with nearly equal angular frequencies w, and w2 which superimpose in water. Consider (w1 – w2) = Aw is very small. Deduce the equation for the resultant displacement. i. ii. Analyze the nature of the amplitude of the resultant wave. iii. Establish a relation between phase velocity and group velocity of the resultant wave.
(a) Fig. 2 represents two waves with nearly equal angular frequencies w, and w2 which superimpose in water. Consider (w1 – w2) = Aw is very small. Deduce the equation for the resultant displacement. i. ii. Analyze the nature of the amplitude of the resultant wave. iii. Establish a relation between phase velocity and group velocity of the resultant wave.
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Transcribed Image Text:(a) Fig. 2 represents two waves with nearly equal angular frequencies w, and w2 which
superimpose in water. Consider (w1 – w2) = Aw is very small.
Deduce the equation for the resultant displacement.
i.
ii.
Analyze the nature of the amplitude of the resultant wave.
iii.
Establish a relation between phase velocity and group velocity of the resultant
wave.
-2
1
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