he apparent depth of a needle lying at the bottom of the tank, which is filled with water of refractive index $1.33$ to a height of $12.5 \,cm$ is measured by a microscope to be $9.4\, cm$. If water is replaced by a liquid of refractive index $1.63$ upto the same height. What distance would the microscope have to be moved to focus on the needle again?