A lens of power +2 text{ diopters} is placed | vedclass

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Question

(C) The power of a combination of thin lenses in contact is given by the algebraic sum of their individual powers: $P = P_1 + P_2$. Given $P_1 = +2

Vedclass · Accepted Answer

$A$ convergent lens of focal length $100 	ext{ cm}$

Vedclass · Answer

(C) The power of a combination of thin lenses in contact is given by the algebraic sum of their individual powers: $P = P_1 + P_2$. Given $P_1 = +2 	ext{ D}$ and $P_2 = -1 	ext{ D}$. So, the effective power $P = 2 + (-1) = +1 	ext{ D}$. The focal length $f$ is given by $f = \frac{1}{P} 	ext{ meters}$. $f = \frac{1}{1} = 1 	ext{ m} = 100 	ext{ cm}$. Since the power is positive, the combination behaves as a convergent (convex) lens with a focal length of $100 	ext{ cm}$.

$A$ lens of power $+2 \text{ diopters}$ is placed in contact with a lens of power $-1 \text{ diopter}$. The combination will behave like:

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