A slit S is illuminated by a monochromatic suorce of light to give two

1.	A slit S is illuminated by a monochromatic suorce of light to give two coherent sources P1 and P2 . These give a dark band at the point R on the screen as shown in figure.1. Write the formula to find out bandwidth. 2. What relationship must exist between the length P1 R and P2 R?3. Can interference fringes be produced by using two identical bulbs?4. If the distance between P1 and P2 is 1 mm and the screen is placed in 1m away, what is the fringe separation for a light of wavelength 5 × 10-7 m?
Answer» 1. β = \(\frac{λD}{d}\) 2. The condition for dark fringe is P₂R – P₁R = (2n -1)\(\frac{λ}{2}\) where n = 1,2, 3, etc. 3. No. They are not coherent sources. 4. β = \(\frac{λD}{d}\) = \(\frac{1\times5\times10^{-7}}{10^{-3}}\) = 5 x 10^-4 = 0.5 mm

A slit S is illuminated by a monochromatic suorce of light to give two coherent sources P1 and P2 . These give a dark band at the point R on the screen as shown in figure.1. Write the formula to find out bandwidth. 2. What relationship must exist between the length P1 R and P2 R?3. Can interference fringes be produced by using two identical bulbs?4. If the distance between P1 and P2 is 1 mm and the screen is placed in 1m away, what is the fringe separation for a light of wavelength 5 × 10-7 m?

Answer»

1. β = \(\frac{λD}{d}\)

2. The condition for dark fringe is P₂R – P₁R = (2n -1)\(\frac{λ}{2}\) where n = 1,2, 3, etc.

3. No. They are not coherent sources.

4. β = \(\frac{λD}{d}\) = \(\frac{1\times5\times10^{-7}}{10^{-3}}\) = 5 x 10^-4 = 0.5 mm

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