light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ:
a) constructive interference will occur
b) destructive interference will occur
c) partial interference will occur
d) none of the above
Constructive interference will occur, cos
constructive interference occurs wen d path difference btw identical waves at a point is n¦Ë...where n = 0,1,2,3...
Destructive interference occur wen d path difference btw two identical waves at a point is n¦Ë 1/2¦Ë where n = 1,2,3,4...
To determine the occurrence of constructive or destructive interference, we need to consider the path difference and the type of wave interference.
Constructive interference occurs when the path difference is an integer multiple of the wavelength (λ), which means that the crests and troughs line up, resulting in reinforcement of the wave. Destructive interference occurs when the path difference is a half-integer multiple of the wavelength (λ/2), causing the crests and troughs to cancel each other out.
In this case, the path difference is given as 2.5λ. A half-integer multiple of the wavelength would be 1.5λ, and an integer multiple of the wavelength would be 2λ. Since neither 1.5λ nor 2λ equal the given path difference of 2.5λ, we can conclude that neither constructive nor destructive interference occurs.
Therefore, the correct answer is (d) None of the above.