1.

In Young's double-slit experiment, coordinate system is selected in such a manner that Y-coordinate of central maximum is 1cm and the same for 9^(th) maximum is 9 cm. If the entire set-up is immersed in a fluid with refractive index 4/3, then what will be new Y-coordinates of central maximum and 9^(th) maximum?

Answer»

1 CM , 9 cm
3/4 cm, 27/4 cm
4/3 cm , 7 cm
1 cm , 7 cm

Solution :We KNOW that central MAXIMUM will remain 1 cm.
Further we know that wavelength becomes `lambda//MU` on immersing in liquid and hence fringe width will also be divided by `mu` because fringe width is proportional to `lambda`. Similarly DISTANCE between `9^(th)` maximum and central maximum which is 8 cm will also be divided by `mu`.
Hence new Y-coordinate of `9^(th)` maximum can be written as follows:
`Y = 1 + (9 -1)/(4//3) = 7 cm`.


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