Question:

Two statements are given — one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer from the options below:

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Both Assertion (A) and Reason (R) are false.

Assertion (A): The image of an object placed between f and 2f from a convex lens can be seen on a screen. If the screen is removed, image is not formed.

Reason (R): Rays from a given point on the object placed between f and 2f, after passing through a convex lens, do not converge on a point in space.

Show Hint

A real image formed by a convex lens exists in space even if the screen is removed. So both the assertion and the reason are false, giving code D.
Updated On: Nov 12, 2026
  • A

  • B

  • C

  • D

Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
When an object is placed between \(f\) and \(2f\) of a convex lens, the lens forms a real image beyond \(2f\) on the other side. A real image is formed by rays that actually meet at a point.

Step 2: Check Reason (R):
The reason says the rays from a point of the object do not converge. For a real image they do converge. So the rays from each object point meet at one image point beyond \(2f\). Reason (R) is FALSE.

Step 3: Check Assertion (A):
The assertion says that if the screen is removed, no image is formed. A screen only scatters the light that reaches the image point, so that we can see it. Without the screen the rays still meet at the same point in space, and an eye placed beyond that point sees the image in the air. So the image is still formed. Assertion (A) is FALSE.

Step 4: Pick the code:
Codes (A), (B) and (C) all need the Assertion to be true. It is false, so only code (D), both false, fits.

Final Answer:
Both Assertion and Reason are false. The correct code is (D). \[ \boxed{\text{(D)}} \]
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