what is the focal length of the thin lens if the lens is in contact with 2.0 dioptre lens to form a combination lens which has a focal length of -80cm
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Answer:
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Answer: ≈ -37.75
Explanation:
Given power = 2.0 D
We know,
P = 1 / f
i.e, 2 = 1 / f1
⇒ f1 = 1 / 2 m
⇒ f1 = 50 cm
∴ One of the lenses' focal lengths (f1) is 50 cm.
We know,
1 / f2 = P2 - P1
⇒ 1 / f2 = ((-1) / 80) - (1 / 50)
⇒ 1 / f2 = (-5) - (8) / 400
⇒ 1 / f2 = (-13) / 400
⇒ f2 = - 400 / 13
⇒ f2 ≈ -30.75 cm
∴ The focal length of the other lens is -30.75 cm.
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