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QJEEM24Ph5c7f: JEE Main 2024 Physics - Class 12 JEEM24Ph5c7f Solution: A convex mirror of radius of curvature forms an image that is…

A convex mirror of radius of curvature 30 cm30 \mathrm{~cm} forms an image that is half the size of the object. The object distance is :

Multiple Choice Options

  • A −- 45 cm
  • B −- 15 cm
  • C 45 cm
  • D 15 cm

Step-by-Step Verified Solution

JEE Main 2024 (Online) 29th January Morning Shift Physics - Geometrical Optics Question 36 English Explanation

Given R=30 cm\mathrm{R}=30 \mathrm{~cm}

f=R/2=+15 cm\mathrm{f}=\mathrm{R} / 2=+15 \mathrm{~cm}

Magnification (m)=±12(\mathrm{m})= \pm \frac{1}{2}

For convex mirror, virtual image is formed for real object.

Therefore, m\mathrm{m} is +ve

amp;12=ff−uamp;u=−15 cm\begin{aligned}& \frac{1}{2}=\frac{f}{f-u} \\& u=-15 \mathrm{~cm}\end{aligned}

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