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question mark

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

Medical Student , 7 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 7 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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