has a
power
en of
A convex lens of ref active index 1.5
2.5 D in air
is placed
in a liquid of refractive index 2
power of the holens is
then the new
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all FL application for the model to set up a time to
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Solution,
Here, we have
Convex lens of refractive index 3/2 has a power of 2.5 D in air.
Places in a liquid of refractive index 2.
Here, we know that,
According to the Lens Maker's formula,
Power of lens, P = (μ(r) - 1) (1/R₁ - 1/R₂)
where μ(r) is the refractive index of the material of lens
And its relative to the surrounding medium = μ (material)/μ (medium)
Here, we have
For convex lens in air, μ(r) = 3/2/1 = 3/2
For convex lens in liquid, μ(r) = 3/2/2 = 3/4
Here, we get
⇒ P₂/P₁ = μ(r)₂ - 1/μ(r)₁ - 1
⇒ (3/2 - 1)/(3/2 - 1) = - 1/2
⇒ P₂ = - 1/2 × 2.5 D
⇒ P₂ = - 1.25 D.
Hence, the new power of the lens is - 1.25 D
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