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Mechanical Properties Of Fluids

Question
CBSEENPH11018872

State principle of superposition. What are different phenomena guided by superposition of waves?

Solution
Principle of superposition: When two or more waves of the same nature travel past a point simultaneously, the resultant displacement at the point is vector sum of the instantaneous displacements due to individual wave. 
If stack straight y subscript 1 with rightwards arrow on top comma space stack straight y subscript 2 with rightwards arrow on top space..... are the displacement vectors due to individual waves at a point at a certain instant, then the resultant displacements due to individual wave is given by, 
                   straight y with rightwards arrow on top equals stack straight y subscript 1 with rightwards arrow on top plus stack straight y subscript 2 with rightwards arrow on top...... 
Some important cases of superposition of waves are:
(i) Stationary waves,
(ii) Beats,
(iii) Interference