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Dual Nature Of Radiation And Matter

Question
CBSEENPH12040133

In Young's double slit experiment the separation d between the slits is 2 mm, the wavelength λ of the light used is 5896 Å and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20°. To increase the fringe angular width to 0.21° (with the same λ and D) the separation between the slits needs to be changed to

  • 1.8 mm

  • 19 mm

  • 1.7 mm

  • 2.1 mm

Solution

B.

19 mm

Angular width = λdSo, 0.20o = λ2 mm λ = 0.20o x 2Again, 0.21o = λdNow putting the value of λd = 0.20o x 2mm0.21od = 1.9 mm

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