A coin is placed at the bottom of a beaker containing water (refractive index = 4/3) to a depth of 12 cm. By what height the coin appears to be raised when seen from vertically above?
A coin is placed at the bottom of a beaker containing water (refractive index = 4/3) to a depth of 12 cm. By what height the coin appears to be raised when seen from vertically above?

Solution:

According to the question, refractive index of the water (μw) is 4 / 3 and the real depth of coin is 12 cm

We have to find the shift in the image

Expression for the shift in image in terms of refractive index is given below –

Shift = Real depth × (1 – 1 / μ)

Putting values, Shift = 12 × (1 – 3 / 4)

Shift = 12 / 4

Therefore, Shift = 3 cm