Embibe Experts Solutions for Exercise 7: Assignment Set-2

A linear object, $AC$ of length, $10 \mathrm{cm}$ is placed along the principal axis of a concave mirror of focal length, $10 \mathrm{cm}$ (see figure). $C$ is the centre of curvature of the mirror. The length of the image is

An object of height $15 \mathrm{cm}$ is placed $20 \mathrm{cm}$ from a mirror and an erect image of size $5 \mathrm{cm}$ is obtained. The mirror is

A point object is approaching a concave mirror of focal length $20 \mathrm{cm}$ along its principal axis with a uniform velocity of $10 \mathrm{cm} {\mathrm{s}}^{–1}.$ At the instant when object is at a distance of $30 \mathrm{cm}$ from the mirror, the speed of the image will be

A short linear object of length $a$ is placed along the principal axis of a convex mirror of focal length $10 \mathrm{cm}$ at a distance of $10 \mathrm{cm}$ from the mirror. The length of the image formed by the mirror 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 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 concave lens of radius of curvature $15 \mathrm{cm}$ and $\mu =1.5$ is placed in water $\left(\mu =\frac{4}{3}\right).$ If one surface is silvered, then image distance from lens when an object is placed at distance of $14 \mathrm{cm}$ from the lens is

A ray of ligand is incident perpendicularly on a prism and it follows the path as shown in figure. The minimum refractive index of the prism can be