Question

A coin kept inside a water when viewed from air in vertical direction appears to be raised by 2.0mm The depth of coin in water is​?

Answer 1

Dear Student,

● Answer -

Depth of coin in water = 8 mm

● Explanation -

Suppose x be real depth of coin. Then apparent depth is x-2 mm.

Refractive index of water is given by -

Refractive index = real depth / apparent depth

4/3 = x / (x-2)

4x - 8 = 3x

4x - 3x = 8

x = 8 mm

Hence, depth of coin in water is 8 mm.

Thanks dear. Hope this helps you...

Answer 2

Suppose x be real depth of coin. Then apparent depth is x-2 mm.

Refractive index of water is given by -

Refractive index = real depth / apparent depth

4/3 = x / (x-2)

4x - 8 = 3x

4x - 3x = 8

x = 8 mm