Two lenses of +15D and -15D are in contact with each other forming a combination lens. (i)What is the focal length of this combination?(ii)An object of size 3 cm is placed at 30cm from this combination of lens. Calculate the position and size of the image formed.
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Explanation:
Given Two lenses of +15D and -5D are in contact with each other forming a combination lens. (i)What is the focal length of this combination?(ii)An object of size 3 cm is placed at 30cm from this combination of lens. Calculate the position and size of the image formed.
- Power of combination P = P1 + P2
- = 15 D + (- 5 D)
- = 10 D
- Now focal length will be F = 1/P
- = 1/10
- = 0.1 m
- = 10 cm
- Now we have 1/f = - 1/u + 1/v
- 1/10 = -1/-30 + 1/v
- 1/v = 1/10 - 1/30
- v = 15 cm
- now magnification m = f / u + f
- = 10 / - 30 + 10
- = - 1/2
- Therefore size of the image = 3 x (- 1/2 )
- = - 3/2
- = - 1.5 cm
- So image is inverted.
Reference link will be
https://brainly.in/question/7886994
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