Question

There’s a 12 ft deep tank filled with water in a rectangular shape. A large metal shield is at the bottom of the tank. But, when an observer sees the shield he says that the shield is not 12 ft deep. What is the depth of the tank according to the observer? (Refractive index of water = 4/3)
Options -- >
(a) 16 ft
(b) 9 ft
(c) 10 ft
(d) 10.8 ft

Answer 1

Answer:

We know that η=apparentdistancerealdistance

η=9.412.5=1.329

When the water is replaced by liquid of 1.63

η=apparentdepth12.5

1.63=x12.5

x=7.67

So Distance by which microscope have to be moved is 9.4−7.67=1.73cm

Answer 2

Given : a 12 ft deep tank filled with water in a rectangular shape. A large metal shield is at the bottom of the tank. But, when an observer sees the shield he says that the shield is not 12 ft deep.

To Find :  What is the depth of the tank according to the observer

Solution:

The ratio of real depth to apparent depth is equal to the refractive index.

real depth  = 12 ft

apparent depth   = x ft

Ratio  =  12/x

refractive index. = 12/x

Refractive index of water = 4/3

Equating Both

=> 12/x = 4/3

=> x = 9

Hence apparent depth  = 9 ft

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