Three waves of equal frequency having amplitudes 
arrive at a given point with successive phase difference of 
the amplitude of the resulting wave in 
is given by
Text Solution
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The amplitudes of the waves are
a 1 = 10 μ μ m , a 2 = 4 μ μ m and a 3 = 7 μ μ m
and the phase difference between 1 st and 2 nd wave is 
and that between 2 nd and 3 rd wave is 
Therefore, phase difference between 1 st and 3 rd is π π . Combining 1 st with 3 rd , their resultant amplitude is given by
or 
in the direction of first.
Now combining this with 2 nd wave we have, the resultant amplitude
or 
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