Question

an object 2cm high is placed at a distance of 5cm from a concave mirror whose radius of curvature is 20cm find the nature sizs and position of the image
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Answer 1

Answer:

Explanation:

Given: An object of 5cm tall is placed at a distance of 10cm from a concave mirror of radius of curvature 30cm

To find: the nature, position and size of the image and draw the ray diagram to represent the above case.

Solution:

According to the given criteria,

Let height of the image be hi and

Height of the object, ho=5cm

Object distance, u=−10cm

Radius of curvature, R=−30cm

We know, focal length, f=2R=230=−15cm

Now applying mirror formula, we get

f1=v1+u1⟹v1=f1−u1⟹v1=−151−−101⟹v1=150−10+15=1505⟹v=30cm

Position of the image is behind the mirror at the distance of 30 cm

Magnification, m=−uv=hoh

Magnification, m=−uv=hohi⟹

1030=5hi⟹hi=3×5=15cm