Q 52 A convex lens of focal length 0.2m is made of material of refractive index 7/2. The lens is placed in a medium, then its focal length is increased by 0.35 m.
What is the refractive index of the medlum?
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Answer:
equal to the speed of light (c) divided by the velocity of light through the medium (v).
Explanation:
The refractive index of a medium (n) is equal to the speed of light (c) divided by the velocity of light through the medium (v).
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Explanation:
- So focal length in air is fa = 0.2 m
- Also μ = 7/2
- Now μ / μa = 7/2 / 1 = 7/2
- So the refractive index of liquid = μL
- Now initially focal length of liquid is
- fL = 0.2 m + 0.35 m
- = 0.55 m
- So we have the lens makers formula we gt
- 1/fa = (μ / μa – 1) [1/R1 – 1/R2] ------------1
- 1/fL = (μ/μL – 1) [1/R1 – 1/R2] -------------2
- So eqn 1 / 2 we get
- So fL / fa = (μ/μa – 1) / (μ/μL – 1)
- 0.55 / 0.2 = (7/2 – 1) / (7/2μL – 1)
- 11/4 = (7/2 – 1) / (7/2μL – 1)
- 11/4 x (7/2μL – 1) = 5/2
- 7/2μL – 1 = 5/2
- 7/2μL – 1 = 10/11
- 7/2μL = 21/11
- Or μL = 11/6
Reference link will be
https://brainly.in/question/47806394
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