Light of wavelength λ is incident on a slit. The first minima of the diffraction pattern is found to lie at a distance of 6 mm from the central maximum on a screen placed at a distance of 2 m from the slit. If the slit width is 0.2 mm, then the wavelength of the light used will be:
Correct answer: B. 6000 Å
- A. 4000 Å
- B. 6000 Å
- C. 7000 Å
- D. 7400 Å
Explanation
To find the wavelength of the light, we can use the formula for the first minima of the diffraction pattern: d*sin(theta) = m*lambda, where d is the slit width, theta is the angle of diffraction for the first minima, m is the order of the minima (in this case m=1), and lambda is the wavelength of the light. Given that the first minima is at a distance of 6 mm from the central maximum and the screen is placed at a distance of 2 m from the slit, we can calculate the angle of diffraction. Substituting the values, we find that the wavelength of the light used is 6000 Å. Therefore, Option B is the correct answer. The other options are incorrect because they do not reflect the correct calculation based on the given parameters.
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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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