Find the focal length of a double concave lens of
m= 3/ 2
and radii of
curvature 10cm, 20cm respectively.
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Given:
A double concave lens of m= 3/ 2 and radii of curvature 10 cm, 20 cm respectively.
To find:
Find the focal length of a double concave lens.
Solution:
From the given information, we have the data as follows.
A double concave lens of m = 3/ 2 and radii of curvature 10 cm, 20 cm respectively.
⇒ μ = 3/2
⇒ R₁ = 10 cm
⇒ R₂ = 20 cm
The formula that is used to find the value of the focal length is given as follows.
1/f = (μ - 1) (1/R₁ - 1/R₂)
1/f = (3/2 - 1) (1/-10 - 1/20)
1/f = (1/2) (-3/20)
1/f = -3/40
⇒ f = - 13 cm.
Therefore, the focal length of a double concave lens is 13 cm.
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