Kumar Mittal Solutions for Exercise 2: For DIFFERENT COMPETITIVE EXAMINATIONS

An object is placed at a distance of $40 \mathrm{cm}$ from a concave mirror of focal length $15 \mathrm{cm}$. If the object is displaced through a distance of $20 \mathrm{cm}$ towards the mirror, the displacement of the image will be:

In an experiment to determine the focal length ($f$) of a concave mirror by the $u-v$ pin method, a student places the object pin $A$ on the principal axis at a distance $x$ from the pole $P$. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with $PA$. When the student shifts his/her eye towards left, the image appears to the right of the object pin. Then:
 

A car is fitted with a convex side-view mirror of focal length $20 \mathrm{cm}$. A second car $2.8 \mathrm{m}$ behind the first car is overtaking the first car at a relative speed of $15 \mathrm{m} {\mathrm{s}}^{-1}$. The speed of the image of the second car as seen in the mirror of the first one is:

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f$, as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale).

Match the corresponding entries of column-$1$ with column-$2$. (Where $m$ is the magnification produced by the mirror)

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror ($M_{\mathit{1}}$) and parallel to the second mirror ($M_2$) is finally reflected from the second mirror ($M_2$) parallel to the first mirror ($M_1$). The angle between the two mirrors will be:

A point source of light, $S$ is placed at a distance $L$ in front of the centre of plane mirror of width $d$ which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance $2L$ as shown in the figure. The distance over which the man can see the image of the light source in the mirror is:

A concave mirror for face viewing has focal length of $0.4 \mathrm{m}$. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of $5$ is: