In Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index 1.5 is introduced in the path of one of the beams. When this plate is replaced by another plate of the same thickness, the shift of fringes is 3/2x. The refractive index of the second plate is
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Detailed Solution
The fringe shift with first plate is given by x=μ1−1tβλ......1For second plate the shift is given by 32x=μ2−1tβλ.......2Divide (2) by (1)32=μ2−11.5−1∴μ2=1.75
In Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index 1.5 is introduced in the path of one of the beams. When this plate is replaced by another plate of the same thickness, the shift of fringes is 3/2x. The refractive index of the second plate is