Question

Q1. focal length of a concave mirror is 8cm. The object is placed at 16cm infront of the mirror. write the position of image and it's nature?​



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Answer 1

Step-by-step explanation:

Given :

• Focal length = 8 cm
• Distance of object = 16 cm
• Type of mirror : Concave

To Find :

Position and nature of the image.

Solution :

Focal length of concave mirror is taken negative and that of convex mirror is taken positive.

Distance of image can be calculated by using the mirror formula which us given by

$\dag\:\underline{\boxed{\bf{\dfrac{1}{u}+\dfrac{1}{v}=\dfrac{1}{f}}}}†$

• • u denotes distance of object
• • v denotes distance of image
• • f denotes focal length

By substituting the given values;

$\sf:\implies\:\dfrac{1}{(-16)}+\dfrac{1}{v}=\dfrac{1}{(-8)}$

$\sf:\implies\:\dfrac{1}{v}=-\dfrac{1}{8}+\dfrac{1}{16}$

$\sf:\implies\:\dfrac{1}{v}=\dfrac{-16+8}{128}$

$\sf:\implies\:v=-\dfrac{128}{8}$

$:\implies\:\underline{\boxed{\bf{v=-16\:cm}}}$

Nature of the image :: Real and Inverted.

Answer 2

v=-16cm

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hope it works