a convex lens of focal length 0.2m made of glass is immersed in water. find the change in focal length of the lens
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the focal length of the lens when immersed in water is 78cm.
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The change in focal length of the lens is 0.58 m.
Explanation:
Given the focal length of the convex lens is, F = 0.2 m.
Take the refractive index of the glass, .
The refractive index of the water, .
Use the lens maker formula in air as
Here, R_1 and R_2 are the radius of curvatures.
substitute the values, we get
Now focal length when lens immersed in water,
substitute the values, we get
f = 0.78 m.
Therefore change in focal length, = focal length in water- focal length in air.
= 0.78-0.2=0.58 m.
Thus, the change in focal length of the lens is 0.58 m.
#Learn More: lens maker`s formula.
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