Explain Cartesian sign convention for spherical mirrors.

A student holding a mirror in his hand, directed the reflecting surface of the mirror towards the Sun. He then directed the reflected light on to a sheet of paper held close to the mirror.

Will he be able to determine the approximate value of focal length of this mirror from this activity ? Give reason and draw ray diagram to justify your answer in this case.

Establish the relation between the radius of curvature $R$ and focal length $f$ of the spherical concave mirror.

For the diagram shown, according to the new Cartesian sign convention the magnification of the image formed will have the following specifications.

A student holding a mirror in his hand, directed the reflecting surface of the mirror towards the Sun. He then directed the reflected light on to a sheet of paper held close to the mirror.

Which type of mirror does he have?

An object of height $4 \mathrm{cm}$ is kept at a distance of $30 \mathrm{cm}$ from the pole of a diverging mirror. If the focal length of the mirror is $10 \mathrm{cm}$, the height of the image formed is ____.

Which of the following statements is not true in reference to the diagram shown above?

The radius of curvature of a converging mirror is $30 \mathrm{cm}$. At what distance from the mirror should an object be placed so as to obtain a virtual image?

Write the sign convention for reflection by spherical mirrors.

What should he do to burn the paper?

In which of the following is a concave mirror is used?