## Question

In Young’s double-slit experiment, the *y*-co-ordinates of central maxima and 10^{th} maxima are 2 cm and 5 cm, respectively. When the YDSE apparatus is immersed in a liquid of refractive index 1.5, the corresponding*y*-co-ordinates will be

### Solution

2 cm, 4 cm

Fringe width, . Therefore, λ and hence β will decrease 1.5 times when immersed in the liquid. The distance between central maxima and 10^{th} maxima is 3 cm in vacuum. When immersed in the liquid, it will reduce to **2 cm**. Position of central maxima will not change while 10^{th} maxima will be obtained at *y* = **4 cm**.

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