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JEE Main 20249 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Ray Optics

JEE Main 2024 · 9 April · Morning Shift · Physics · Ray Optics

Given below are two statements : Statement (I) : When an object is...

Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II) : Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below :

Options

  1. ABoth Statement I and Statement II are true
  2. BBoth Statement I and Statement II are false
  3. CStatement I is true but Statement II is false
  4. DStatement I is false but Statement II is true

Correct answer

C. Statement I is true but Statement II is false

Step-by-step solution

1v−1u=1f1v−1−2f=1−f⇒1v=−12f⇒v=−2f1v=1u+1f⇒ Virtual image of Real object. \begin{aligned} & \frac{1}{\mathrm{v}}-\frac{1}{\mathrm{u}}=\frac{1}{\mathrm{f}} \\ & \frac{1}{\mathrm{v}}-\frac{1}{-2 \mathrm{f}}=\frac{1}{-\mathrm{f}} \\ & \Rightarrow \frac{1}{\mathrm{v}}=\frac{-1}{2 \mathrm{f}} \Rightarrow \mathrm{v}=-2 \mathrm{f} \\ & \frac{1}{\mathrm{v}}=\frac{1}{\mathrm{u}}+\frac{1}{\mathrm{f}} \Rightarrow \text{ Virtual image of Real object. }\end{aligned} In statement II, it is not mentioned that object is real or virtual hence Statement II is false.
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