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Wave Optics

Question
CBSEENPH12047953

Two slits are separated by a distance of 0.5 mm and illuminated with light of wavelength λ = 6000 Ao. If the screen is placed at 2.5 m from the slits. The distance of the third bright fringe from the centre will be

  • 1.5 mm

  • 3 mm

  • 6 mm

  • 9 mm

Solution

D.

9 mm

Distance of  nth  bright fringe from the centre,

           xnn D λd

where n = 0, ± 1,±2,.....

The third bright fringe width from the centre,

           x3 = 3 × 2.5 × 6000 × 10-100.5 × 10-3

                 = 9 × 10-3 m

           x3 = 9 mm