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A point object is placed at a distance of 30 cm from a convex mirror of a focal length of 30 cm. What is the separation between the image and the object?

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Question

A point object is placed at a distance of 30 cm from a convex mirror of a focal length of 30 cm. What is the separation between the image and the object?

Options

  • 40 cm

  • 45 cm

  • 50 cm

  • 55 cm

MCQ
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Solution

45 cm

Explanation:

u = -30 cm

f = 30 cm

`1/f = 1/u + 1/v`

`1/v = 1/30 + 1/30`

⇒ v = 15 cm.

As a result, the image will be formed 15 cm behind the convex mirror, which is virtual, erect, and diminished. As a result, the distance between the object and the image is 30 cm + 15 cm = 45 cm.

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