In Young's double slit experiment, the condition for destructive interference is:
Correct answer: B. d sin θ = (m+1/2) λ if m=0,1,2,3,...
- A. d sin θ = m λ if m=0,1,2,3,....
- B. d sin θ = (m+1/2) λ if m=0,1,2,3,...
- C. d sin θ = (m-1/2) λ if m=0,1,2,3,...
- D. d sin θ = m/ λ
Explanation
In Young's double slit experiment, the condition for destructive interference is when the path length difference between the two waves is half a wavelength, expressed as d sin θ = (m+1/2) λ if m=0,1,2,3,.... This is because when the waves from the two slits arrive half a wavelength out of phase, they interfere destructively, resulting in dark fringes. The other options provided do not represent the correct condition for destructive interference, as they do not account for the necessary path length difference of half a wavelength.
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Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.
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