MOCK TEST - 1

Refractive index of water is $\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.$ and glass is $\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$ with respect to air. What is the refractive index of glass with respect to water?

Size of the image of an object by a mirror having a focal length of $20 \mathrm{cm}$ is observed to be reduced to $\frac{1}{3}$rd of its size. At what distance the object has been placed from the mirror? What is the nature of the image and the mirror?

A student focused the image of a candle flame on a white screen using a convex lens. He noted down the position of the candle, screen and the lens as under on the screen as
Position of the candle =$12 \mathrm{cm}$
Position of the convex lens =$50 \mathrm{cm}$
Position of the screen =$88 \mathrm{cm}$

1. What is the focal length of the convex lens?
2. Where will the image be formed if he shifts the candle towards the lens at a position of $31 \mathrm{cm}$
3. What will be the nature of the image formed if he further shifts the candle towards the lens?
4. Draw a ray diagram to show the formation of image in case of (c) as said above.

Draw a ray diagram showing the image formation by a concave mirror when an object is placed between the pole and focus of the mirror.

Draw a ray diagram showing the image formation by a concave mirror when an object is placed between the focus and centre of curvature of the mirror.

Draw a ray diagram showing the image formation by a concave mirror when an object is placed at the centre of curvature of the mirror.

Draw a ray diagram showing the image formation by a concave mirror when an object is placed a little beyond the centre of curvature of the mirror.

Draw a ray diagram showing the image formation by a concave mirror when an object is placed at infinity.