NEETPhysicsRay Optics
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A combination of a thin convex lens of power +5 D and a thin concave lens of power -5 D placed in contact produces a linear magnification of +1 for any object distance. Reason (R): The effective power of this combination is zero, making it behave like a plane glass plate. In the light of the above
Options
- ABoth Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
- CAssertion (A) is correct but Reason (R) is not correct
- DAssertion (A) is not correct but Reason (R) is correct
Correct answer
B. Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
Step-by-step solution
The effective power of the lens combination is the algebraic sum of their individual powers: P_ net = P₁ + P₂ = +5 D + (-5 D ) = 0 D . Since P_ net = 0 , the effective focal length F = 1 P_ net = . A lens system with infinite focal length behaves like a plane glass plate. Reason (R) is correct. Using the lens formula, 1 v - 1 u = 1 F = 0 v = u . The linear magnification is m = v u = u u = +1 . Thus, the combination produces a magnification of +1 for any object distance. Assertion (A) is correct. Reason (R) provides