Reflection of Light

Select the correct statement

A person of height $h$ is standing in front of a plane mirror.

(a) What is the minimum size of the mirror so that complete image of the person is formed?

(b) What is the minimum size of the mirror so that the person can see his complete image ?

(c) Where should the top edge of the mirror be placed relative to the eyes and the head of the person, so that the person sees his complete image.

For which of the following angle between two plane mirrors, the incident ray and reflected ray from two mirrors are parallel to each other for all angle of incidence

Consider a ray of light incident on a vertical plane mirror as shown. By what amount and in what sense should the mirror be rotated so that the ray becomes horizontal after reflection?

A plane mirror in $y$-$z$ plane is moving with $-2 \hat{\mathrm{i}} {\mathrm{ms}}^{-1}$ as shown. The object shown now starts moving with $(3\hat{\mathrm{i}}+\hat{\mathrm{j}}-4\hat{\mathrm{k}}) \mathrm{m} {\mathrm{s}}^{-1}$. What is the velocity of the image?

Two plane mirrors are inclined at an angle $80°$. A ray of light is incident on one of the mirrors. The ray will undergo total deviation of

A point object is moving with speed $4 \mathrm{cm}{ \mathrm{s}}^{-1}$ in front of a combination of two plane mirrors (see figure). Velocity of image of the object formed by mirror $M_1$ relative to image formed by mirror $M_2$ is

A plane mirror whose reflecting surface is parallel to the $x-y$ plane is moving with velocity $\left(2\hat{i}+3\hat{j}+4\hat{k}\right) \mathrm{m} {\mathrm{s}}^{–1}.$ An object is moving with velocity $\left(\hat{i}+\hat{j}-\hat{k}\right) \mathrm{m} {\mathrm{s}}^{–1}.$ The velocity of the image is

A plane mirror whose reflecting surface is parallel to the $y-z$ plane is moving with velocity $4\hat{\mathrm{i}} \mathrm{m} {\mathrm{s}}^{–1}.$ If the velocity of the object is $\left(2\hat{\mathrm{i}}+3\hat{\mathrm{j}}+2\hat{\mathrm{k}}\right) \mathrm{m} {\mathrm{s}}^{–1}$, then the velocity of the image is

Consider the situation shown in the figure. The minimum angle by which the plane mirror $M$ should be rotated about the point of incidence $O$ such that the reflected ray is horizontal is

For the system shown, if the speed of image formed by the plane mirror is minimum then speed, $v$ of the plane mirror is

A small object is moving towards a plane mirror with velocity $V_1=10 {\mathrm{ms}}^{-1}$ and the plane mirror is moving with velocity $V_2=5 {\mathrm{ms}}^{-1}$ as shown. The speed of image is

Two plane mirrors $M_1$ and $M_2$ intersecting at point $O$ forming an angle of $60°.$ The distance between the two direct images of a point object $\text{'}P\text{'}$ formed by them is $10 \mathrm{cm}.$ The distance $OP$ is

Figure shows a torch sending a parallel beam of light fixed on a wall and a plane mirror which forms a spot on the wall. As the mirror moves towards the wall, the spot on the wall moves

A plane mirror is placed horizontally inside water $\left(\mu =\frac{4}{3}\right).$ A ray falls normally on it. The mirror is rotated by angle $\theta$ such that after reflection, the ray does not come out of water. The minimum value of $\theta$ is

An object $O$ between two parallel (vertical) plane mirrors is approaching plane mirror $M_1$ as shown. If $V_1, V_2$ denote the magnitude of relative velocity of image with respect to object in mirror $M_1, M_2$ respectively and $V_{1, 2}$ denotes relative velocity of approach of the images formed due to direct reflection by each mirror, then

Figure shows an object $O$ kept at $P.$ A plane mirror parallel to $yz$ plane is moving with velocity $3\hat{i} \mathrm{m} {\mathrm{s}}^{-1}.$
Select the correct alternative