A Bucket Is Filled With Water Upto A Height Of 36 cm . How Much A Coin Lying At Its Bottom Appears To Be Raised When Viewed From Outside The Water ? ( Refractive Index Of Water = 4/3 )
Answers
The coin lying at the bottom appears to be raised 9 cm when we viewed from outside the water.
A bucket is filled with water upto a height of 36cm.
We have to find the depth of coin lying at the bottom appears to be raised when viewed from the outside the water.
Concepts :
- We know, When a beam of light passes throught one medium to another medium, the beam of light refracted from its normal.
- Here, there are two medium water and air, now when we view the coin lying at the bottom of water filled bucket (water medium) from outside the water (i.e., air medium), light travels through rare to denser medium so that light bends towards normal. due to this, the depth of coin appears lower than actual depth.
Here, we have to use formula,
apparent depth = actual depth/refractive index [ if first medium is air from where we start to observe the object ]
Here refractive index of water = 4/3
and actual depth = 36 cm
∴ apparent depth = 36/(4/3) = 27 cm
Therefore the coin lying at the bottom appears to be raised (36 - 27) = 9 cm when we viewed from outside the water.
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