When Young's double slit experiment is performed in air, the Y-coordinates of central maxima and 10^ th maxima are 2 ~cm and 5 ~cm respectively. If the apparatus is immersed in a liquid of refractive index 1.5 , the corresponding Y-coordinates will be

Step-by-step solution

For YDSE apparatus in air For central maxima aligned & y₀ d D -d =0 & = y₀ D = 2 D ... (i) aligned For 10^ th maxima aligned & y ₁₀ ~d D - d =10 & 5 ~d D - d =10 aligned From equation (i), we have aligned & 5 d D - 2 d D =10 & 10 = 3 d D = 3 d 10 D aligned Now, when the YDSE apparatus is immersed in a liquid of refractive index 1.5 , then it's wave length ^ = 1.5 As the y coordinate of central maximum doesn't depend upon wavelength, therefore it will remain same as in air, y ₀^ = y ₀=2 ~cm For 10^ th maxina aligned