Priyanka B Solutions for Chapter: Light : Reflection and Refraction, Exercise 1: Practice Problems-I

When an object is placed at a distance of $30 \mathrm{cm}$ from a convex spherical mirror, the height of image is half of the object's height. Where should the object be placed in order for the height of image to be  ${\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}^{rd}$ of the object's height.

An object is placed $18 \mathrm{cm}$ in front of a spherical mirror. If the image is formed  $2 \mathrm{cm}$ to the right of the mirror, find its focal length. Is the mirror convex or concave? What is the nature of the image? What is the radius of curvature of the mirror? 

A small candle of size $5 \mathrm{cm}$ is placed $54 \mathrm{cm}$ in front of a concave mirror of radius of curvature $72 \mathrm{cm}$. Where must a screen be placed to form a sharp image? Describe the size and the nature and size of the image.

How far should an object be from a concave mirror of radius $0.18 \mathrm{m}$ to form a real image $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$9$}\right.$th  of its size?

A rear view mirror in a car has radius of curvature $4 \mathrm{m}$. If a truck is $6 \mathrm{m}$ from this mirror, find the position, nature and size of the image.

An object of $6 \mathrm{cm}$ is placed $20 \mathrm{cm}$ in front of a concave mirror of focal length $12 \mathrm{cm}$. Where should a screen be placed to obtain a sharp image? Find the nature and size of the mirror.

An object is placed $36 \mathrm{cm}$ in front of a spherical mirror. If the image is formed at $8 \mathrm{cm}$ to the rear of the mirror, calculate its focal length. Is the mirror convex or concave? What is the nature of the image? 

An object $4 \mathrm{cm}$ in height is placed $15 \mathrm{cm}$ in front of a concave mirror of focal length $10 \mathrm{cm}$. At what distance from the mirror should a screen be placed to obtain a sharp image of the object. Calculate the height of the image.