Apparent Depth and Sample Sums

Apparent Depth Formula :

Apparent Depth formula is the refractive index of water μ2  and the refractive index of water is equal to the real depth and divided by the apparent dept .Hence the apparent depth formula can be written as,

μ2/ μ1=u/v

Here ,

u → real depth

V→ apparent dept

μ1→ refractive index of air

μ2 → refractive index of water

Example Sums :1

Calculate the apparent depth of the coin? In a coin is placed  at the bottom of a beaker filled with water up to a height of 20cm.The refractive index of water wrt air is 2/3

Solution :

Real dept =20cm

Refractive index of water wrt air =2/3

μ2/ μ1=real depth/ apparent depth

2/3=20/ apparent depth

apparent  depth =20*(2/3)

=13.33cm

Example Sums :2

Calculate the apparent depth of the coin? In a coin is placed  at the bottom of a beaker filled with water up to a height of 80cm.The refractive index of water wrt air is 4/3.

Solution :

Real dept =20cm

Refractive index of water wrt air =4/3

μ2/ μ1=real depth/ apparent depth

4/3=80/ apparent depth

apparent  depth =80*(4/3)

=106.66cm

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