Question

an object of height 5 cm is placed to metre in front of concave mirror of radius of curvature 40cm find the size of the image

Answer 1

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Answer 2

The size of the image is 0.556 cm.

Explanation:

Given that,

Height of the object, h = 5 cm

Radius of curvature of the concave mirror, R = 40 cm

Focal length, f = -20 cm

Let the object is placed at a distance of 200 cm, u = -200 cm

To find,

Size of the image

Solution,

Let v is the distance of image from the mirror. Using mirror's formula to find it as :

$\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}$

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

$\dfrac{1}{v}=\dfrac{1}{(-20)}-\dfrac{1}{(-200)}$

v = -22.23 cm

The image is located at a distance of 22.23 cm.

Let h' is the size of image. It can be calculated using formula of magnification as :

$m=\dfrac{-v}{u}=\dfrac{h'}{h}$

$\dfrac{-(-22.23)}{(-200)}=\dfrac{h'}{5}$

h' = -0.556 cm

So, the size of the image is 0.556 cm.

Learn more,

Lens formula

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