In a Young’s double slit experiment, the slits are separated by 0.2 mm and screen is placed 2.0 m away. The distance between the central bright fringe and the third bright fringe is measured to be 1.5 cm. Determine the wavelength of light used in the experiment.

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Accepted Answer

(3) 5000 A. Given: d=0.2 mm=2×10⁻⁴ m, D=2.0 m, third bright fringe at y₃=1.5 cm=1.5×10⁻² m. Idea: yₙ=(nλ D)/d for a bright fringe, so λ=(yₙd)/(nD). λ=(1.5×10⁻²×2×10⁻⁴)/(3×2.0). Numerator =3×10⁻⁶; denominator =6. λ=5×10⁻⁷ m. =5000 A, green light.

In a Young’s double slit experiment, the slits are separated by 0.2 mm and screen is placed 2.0 m away. The distance between the central bright fringe and the third bright fringe is measured to be 1.5 cm. Determine the wavelength of light used in the experiment.

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