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Intensity Amplitude Relationship

33. Angular w...

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33. Angular width of central maximum in the Fraunhoffer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength 6000 A.� when the slit is illuminated by the light of another wavelength then the angular width decreases by 30%. Calculate the wavelegth for this light. The same dedcrease in the angular width of central maximum is obtained when the original apparatus is immersed in the liquid. Find the refractive index of the liquid?

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Q. Angular width of central maximum in the Fraunhoffer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength

6000 ˚ A

. When the slit is illuminated by light of another wavelength, then the angular width decreases by

30

%. The same decrease in angular width of central maximum is obtained when the original apparatus is immersed in a liquid. The refractive index of the liquid will be

Q. The angular width of the central maximum in the Fraunhofer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength

6000 ˙ A

. When the slit is illuminated by light of another wavelength

(λ)

, the angular width decreases by

30 %

. Calculate the wavelength

(λ)

of this light in

˙ A

. The same decrease in the angular-width of central maximum is obtained when the original apparatus is immersed in a liquid. Find the refractive index

μ

Q. The angular width of central maxima in the Fraunhofer diffraction pattern is measured. The slit is illuminated by the light of wavelength

6000 ˚ A

If the slit is illuminated by a light of another wavelength, angular width decreases by 30%. The wavelength of light used is :

Q. The angular width

Δ θ

of the central maximum in the diffraction pattern of a slit illuminated by light of wavelength

500 nm

is measured. The angular width of the central maximum is found to increase by

25 %

, when the same slit is illuminated by another light of wavelength

λ^{'}

. Then wavelength

λ^{'}

Q. Find the half angular width (in degrees) of the central bright maximum in the Fraunhofer diffraction pattern of a slit of width

12 \times 10^{- 5} cm

when the slit is illuminated by monochromatic light of wavelength

6000 ˚ A

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