A photon is emitted in transition from \( n = 4 \) to \( n = 1 \) level in a hydrogen atom. The corresponding wavelength for this transition is:
A tank is filled with water to a height of 12.5cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?