Q39 / 107 · NTA Abhyas (JEE Main) 2020 · Physics · Wave Optics

Fraunhofer diffraction pattern of a single slit is obtained in the focal plane of the lens of focal length 1 m. The third minimum is formed at a distance of 5 mm from the central maximum and the wavelength of light used in the experiment is 5000 Å. From the given data find the width (in mm) of the slit used in the experiment.

Correct answer: 0.3

Solution

Using asin⁡θ=nλ

Or a . xf=3λ or a=3λ .  fx

=3×5000×10-10×15×10-3=3×10-4 m

Hence, the correct answer is 0.3.

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