Question

An object is placed at a distance of 10cm from a convex miror of focal length 15cm .find the position and nature of the image
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Answer 1

Answer:

The image will be virtual and upright.

Explanation:

This happens in all convex mirrors regardless of distance.

Answer 2

Given:

• An object is placed at a distance of 10cm from a convex miror of focal length 15cm.

To Find:

• Position and nature of the image

Solution:

• Image distance = 10m
• Focal length = 15 m

As, Here we are given image distance and focal length so we will find the Object distance using the mirror formula:

$:{\implies{ \boxed{ \bf{ \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f} }}}} \: \color{lightgreen}\bigstar$

$: \sf \implies \dfrac{1}{v} + \dfrac{1}{ - 10} = \dfrac{1}{15} \\ \\ \\ : \sf \implies\dfrac{1}{v} = \dfrac{1}{15} + \dfrac{1}{10} \\ \\ \\ : \sf \implies \dfrac{1}{v} = \dfrac{10 + 15}{150} \\ \\ \\ \sf \implies \dfrac{1}{v} = \dfrac{25}{150} \\ \\ \\ : \implies { \boxed{ \sf{\dfrac{1}{v} = 6cm}}} \: \pink \star$

Hence,

• The image is formed behind the mirror.
• The image is placed at distance of 6 m from the mirror.

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