Physics · Geometrical Optics

JEE Main 2025 — 7 April, Morning Shift — Question 53

Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart.

The power of this combination is:

  1. Option A:

    10 D

    Correct
  2. Option B:

    1 D

  3. Option C:

    5 D

  4. Option D:

    20 D

Answer: A

Step-by-step solution

For parallel range 1F=1F1+1F2−dF1F2\frac{1}{F}=\frac{1}{F_{1}}+\frac{1}{F_{2}}-\frac{d}{F_{1} F_{2}}

⇒1F=130+110−1010×30=110\Rightarrow \frac{1}{F}=\frac{1}{30}+\frac{1}{10}-\frac{10}{10 \times 30}=\frac{1}{10}

⇒F=(110)m\Rightarrow \quad F=\left(\frac{1}{10}\right) \mathrm{m}

So, power P=1F=10DP=\frac{1}{F}=10 \mathrm{D}

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Geometrical Optics
Topic
Lenses and Their Combinations, Silvering of Lens
Two thin convex lenses of focal lengths 30 cm and 10 cm are placed… | JEE Main 2025 PYQ with Solution · DhiX AI