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in youngs experiment two coherent sources placed 0.90mm apart and fringes are observed one metre away. if it produces the second dark fringe at a distance of 1mm from the central fringe , the wavelenght of monochromatic light used would be options a. 60*10-4cm b. 10*10-4cm c. 10*10-5cm d. 6*10-5cm

in youngs experiment two coherent sources placed 0.90mm  apart and fringes are observed one metre away. if it produces the second dark fringe at a distance of 1mm from the central fringe , the wavelenght of monochromatic light used would be  
options
 a. 60*10-4cm
b. 10*10-4cm
c. 10*10-5cm
d. 6*10-5cm

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
Distance of nth dark fringe from central fringe
 
Xn = (2n -1)\lambdaD/2d
 
Hence X2 = 3 *\lambda D/2d
 
1 * 10^-3 = 3 * \lambda * 1/2 * 0.9 * 10^-3
 
\lambda = 6 * 10^-5 cm
 
Hence option D is correct.

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