Jee Main 2024 01 02 2024 Shift 1 - Question23

Question 23

Distance between virtual magnified image, (size three times of object) of an object placed in front of convex lens and object is $20 cm$. The focal length of lens is $x cm$, then $x$ is

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Answer: (15)

Solution:

$\frac{1}{v}-\frac{1}{u}=\frac{1}{f} \quad \frac{v}{u}=3$

$3x - x = 20$

$x=20$

$\frac{1}{-30}-\frac{1}{-10}=\frac{1}{f}$

$\frac{1}{10}-\frac{1}{30}=\frac{1}{f}$

$\frac{2}{30}=\frac{1}{f} \Rightarrow f=15$



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