An object is placed on the principal axis of a convex lens of focal length 10 cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. [2023]

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Solution

Q.
An object is placed on the principal axis of a convex lens of focal length 10 cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5 cm inside the mirror. The distance of the object from the lens is ________cm. [2023]

Ans.
(30)

$f = 10 cm$

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

$\frac{1}{15} - \frac{1}{- u} = \frac{1}{10}$

$\Rightarrow \frac{1}{u} = \frac{1}{10} - \frac{1}{15}$

On solving we get value of $u$ as 30 cm.

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