Two monochromatic radiations X and Y are incident normally on a diffraction grating. The second-order intensity maximum for X coincides with the third-order intensity maximum for Y. What is the ratio => wavelength of X/ wavelength of Y
Correct answer: C. 2/3
- A. 1/2
- B. 3/2
- C. 2/3
- D. 2/1
Explanation
Explanation: For a diffraction grating, the condition for intensity maxima is given by dsinθ=mλ, where d is the grating spacing, θ is the angle of diffraction, m is the order of the maximum, and λ is the wavelength.For the given scenario, the second-order intensity maximum for X (=2mX =2) coincides with the third-order intensity maximum for Y (mY =3). Therefore, we can set up the ratio:λY λX =mY mX =32.
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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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