In a young's double slit arrangement frings are produced using light of wavelength 4000 Å. One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original sixt

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In a young's double slit arrangement frings are produced using light of wavelength 4000 Å. One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original sixth fringe from centre. Thickness of glass plate is

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Correct answer: B. 8 m

As, shift x= ( -1) t Shift due to one plate x_1= ( _1-1 ) t Shift due to another path x_2= ( _2-1 ) t Net shift x= x_2- x_1= ( _2- _1 ) t Also, it is given that x=6 aligned & Hence, 6 = ( _1- _2 ) t \ & t= 6 ( _1- _2 ) = 6 4000 (1.7-1.4) -80000 Å \ & t=8 10^ -6 =8 m aligned

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