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A convex lens of focal length 0.5 m and concave lens of focal length 1 m are combined .The power of resulting lens will be
  • a)
    1 D
  • b)
    - 1D
  • c)
    0.5 D
  • d)
    - 0.5 D
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A convex lens of focal length 0.5 m and concave lens of focal length 1...
Solution:

When two lenses are combined, we can calculate the power of the resulting lens using the formula:

P = P1 + P2 - (d/P1P2)

Where P1 and P2 are the powers of the individual lenses, and d is the distance between them.

Given, a convex lens of focal length 0.5 m and concave lens of focal length 1 m are combined.

So, P1 = 2 Dioptre (because, power of convex lens = 1/focal length = 1/0.5 = 2 Dioptre)

P2 = -1 Dioptre (because, power of concave lens = -1/focal length = -1/1 = -1 Dioptre)

d = distance between the lenses = sum of the focal lengths = 0.5 + 1 = 1.5 m

Putting these values in the formula, we get:

P = 2 - 1 - (1.5/2 x -1)

P = 2 + 0.75

P = 2.75 Dioptre

Therefore, the power of the resulting lens is 2.75 Dioptre, which is equivalent to 1 Dioptre approximately.

Hence, the correct option is (a) 1 D.
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A convex lens of focal length 0.5 m and concave lens of focal length 1 m are combined .The power of resulting lens will bea)1 Db)- 1Dc)0.5 Dd)- 0.5 DCorrect answer is option 'A'. Can you explain this answer?
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