Question

an object is placed at a long distance on front of a convex mirror of radius of curvature 30 cm . state the position of its image​

Answer 1

Image is formed at the focus. focus = 30/2 = 15 cm i.e. 15 cm behind the convex mirror.

Answer 2

The position of the image is 15 cm.

Explanation:

Given the radius of curvature of the convex mirror is, R = 30 cm.

As object placed very far from convex mirror, so, object distance $u =\infty$.

The relation between focal length and radius of curvatute is given as

f =R/2

Therefore, f = 30 cm /2 =.

To get the position of the image, use mirror formula,

$\frac{1}{f}=\frac{1}{v}+\frac{1}{u}$.

substitute the values, we get

$\frac{1}{15cm} =\frac{1}{v}+\frac{1}{\infty}$

v = 15 cm.

This is the position of the image behind the mirror.

Thus, the position of the image is 15 cm.

#Learn More: mirror formula.

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