1.

Two coherent sources are 0.3 mm apart. They are 0.9m away from the screen. The second dark fringe is at a distance of 0.3cm from the centre. Find the distance of fourth bright fringe from the centre. Also, find the wavelength of light used.

Answer» Correct Answer - A::B::C
Given, ` d= 0.3 xx 10^(-3)m, D=0.9m `
` (3lambdaD)/(2d) = 0.3 xx 10^(-2)cm` (the distance of second dark fringe)
` :. (lambdaD)/d = (0.3 xx 10^(-2))(2/3)`
`= 0.2 xx 10^(-2)m = 0.2cm `
(i) Distance of fourth bright fringe from centre =`(4lambdaD)/d = 0.8cm
(ii) `lambda = (d/D) (0.2 xx 10^-2)m = ((0.3 xx (10^-3))/0.9) (0.2 xx 10^-2))`
`= 6.67 xx 10^(-7)m`.


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