AIIMS2018Physics-Wave Optics

AIIMS 2018 Physics Interference MCQ Question

Type: MCQ-numerical-Medium-Class 12

In a single slit diffraction the distance between slit & screen is 1 m1\text{ m}. The size of the slit is 0.7 mm0.7\text{ mm} & second maximum is formed at the distance of 2 mm2\text{ mm} from the centre of the screen, then find out the wavelength of light.

A

λ = 5600 Å

B

λ = 5400 Å

C

λ = 5800 Å

D

λ = 5200 Å

Correct Answer

Option A

Detailed Explanation

To find the wavelength (λ), we use the derived formula λ = 2ay5D\frac{2ay}{5D}. Given that the path difference is 5λ2\frac{5\lambda}{2}, substituting the values leads to λ = 5600 Å, which corresponds to option A. The other options (5400 Å, 5800 Å, and 5200 Å) do not satisfy the derived equation with the provided parameters, indicating they do not align with the calculated path difference for the given setup. Understanding the relationship between path difference and wavelength is crucial in wave interference phenomena, such as those observed in Young's double-slit experiment.

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