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A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish?
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A bird looking down vertically into a pond from 12cms above the surfac...
Understanding Apparent Height
The scenario involves a bird looking down into a pond and a fish positioned beneath the water's surface. To determine the apparent height of the bird as seen by the fish, we apply the principles of refraction and geometry.
Given Information
- Height of the bird above the pond: 12 cm
- Apparent depth of the fish as seen by the bird: 18 cm
Refraction of Light
When light travels from one medium to another (air to water), it bends due to the change in density. This bending causes objects submerged in water to appear at a different depth than they actually are.
Calculating Apparent Depth
Using the formula for apparent depth:
- Actual depth of the fish (d) = Apparent depth (d') × (n_water / n_air)
Assuming:
- n_water (refractive index of water) = 4/3
- n_air (refractive index of air) = 1
Rearranging gives:
- Actual depth (d) = 18 cm × (3/4) = 13.5 cm
Finding the Apparent Height of the Bird
To find the apparent height of the bird as perceived by the fish, we combine the actual depth of the fish and the height of the bird above the water's surface:
- Apparent height of the bird = Height of the bird + Actual depth of the fish
Calculating:
- Apparent height = 12 cm + 13.5 cm = 25.5 cm
Conclusion
Thus, the apparent height of the bird as seen by the fish is **25.5 cm**. This illustrates how refraction affects the perception of height and depth in different mediums.
The scenario involves a bird looking down into a pond and a fish positioned beneath the water's surface. To determine the apparent height of the bird as seen by the fish, we apply the principles of refraction and geometry.
Given Information
- Height of the bird above the pond: 12 cm
- Apparent depth of the fish as seen by the bird: 18 cm
Refraction of Light
When light travels from one medium to another (air to water), it bends due to the change in density. This bending causes objects submerged in water to appear at a different depth than they actually are.
Calculating Apparent Depth
Using the formula for apparent depth:
- Actual depth of the fish (d) = Apparent depth (d') × (n_water / n_air)
Assuming:
- n_water (refractive index of water) = 4/3
- n_air (refractive index of air) = 1
Rearranging gives:
- Actual depth (d) = 18 cm × (3/4) = 13.5 cm
Finding the Apparent Height of the Bird
To find the apparent height of the bird as perceived by the fish, we combine the actual depth of the fish and the height of the bird above the water's surface:
- Apparent height of the bird = Height of the bird + Actual depth of the fish
Calculating:
- Apparent height = 12 cm + 13.5 cm = 25.5 cm
Conclusion
Thus, the apparent height of the bird as seen by the fish is **25.5 cm**. This illustrates how refraction affects the perception of height and depth in different mediums.
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A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish?
Question Description
A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish?.
A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bird looking down vertically into a pond from 12cms above the surface sees a fish apparently 18 cms below the surface. what is the apparent height of the bird as seen by the fish?.
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