Q73 / 90 · JEE Main 2024 (09 Apr Shift 1) · Physics

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 :

  • A
    Both Statement I and Statement II are true
  • B
    Both Statement I and Statement II are false
  • Correct answer
    C
    Statement I is true but Statement II is false
  • D
    Statement I is false but Statement II is true

Solution

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

Hence, the correct answer is option: 'C'.

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