Physics · Geometrical Optics

JEE Main 2025 — 24 January, Evening Shift — Question 58

A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is 2 cm×2 cm2 \mathrm{~cm} \times 2 \mathrm{~cm} and the area of the landscape photographed is 400 km2400 \mathrm{~km}^{2}. The focal length of the lens in the drone camera is :

  1. Option A:

    1.8cm

    Correct
  2. Option B:

    2.8cm

  3. Option C:

    2.5cm

  4. Option D:

    0.9cm

Answer: A

Step-by-step solution

H=18 km\mathrm{H}=18 \mathrm{~km}

Size of camera film =2 cm×2 cm=2 \mathrm{~cm} \times 2 \mathrm{~cm}

Aimage =400 km2\mathrm{A}_{\text {image }}=400 \mathrm{~km}^{2}

x=20×103 m=2×104 m\mathrm{x}=20 \times 10^{3} \mathrm{~m}=2 \times 10^{4} \mathrm{~m}

y=2×10−2 my=2 \times 10^{-2} \mathrm{~m}

xy=106=18Kmf\frac{\mathrm{x}}{\mathrm{y}}=10^{6}=\frac{18 \mathrm{Km}}{\mathrm{f}}

f=18×10−3 m=18 mm\mathrm{f}=18 \times 10^{-3} \mathrm{~m}=18 \mathrm{~mm}

f=1.8 cm\mathrm{f}=1.8 \mathrm{~cm}

images

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Geometrical Optics
Topic
Experiments for Determination of Focal Length of Lens & Mirrors
A photograph of a landscape is captured by a drone camera at a height… | JEE Main 2025 PYQ with Solution · DhiX AI