Question

Consider the situation shown in column - I , a real object is moving towards a fixed optical component or an optical component is moving towards a fixed object. Match the possible direction and magnitude of velocity of image as shown in Column - II. (All velocities in column- I are equal to $v_0$ ).Which of the following options has the correct combination considering column - I and column- II.

	Column-I		Column- II
(A)		(P)
(B)		(Q)
(C)		(R)	More than $v_0$
(D)		(S)	Less than $v_0$
		(T)	Equal to $v_0$

• A. $\text{C}\to \text{R}$
• B. $\text{D}\to \text{P,T}$
• C. $\text{A}\to \text{P, Q}$
• D. $\text{B}\to \text{P, S}$

Answer 1

The correct option is D $\text{B}\to \text{P, S}$

In column -I , $\text{A}$ and $\text{B}$ are mirrors,

For mirrors,

Velocity of image, $v_I=-{\left(\frac{v}{u}\right)}^2{v}_0$ ( opposite to $v_0$ )

In column-I, $C$ is a lens.

For Lens,

Velocity of image $v_I={\left(\frac{v}{u}\right)}^2{v}_0$ ( same direction to $v_0$ )

In column-I, $C$ is a plane mirror in motion, where object is fixed.

For plane mirror, $v_{Im}=-v_{om}$

$\Rightarrow v_I=2v_m$ ( same direction to $v_0$ )

From the given options, only option (d) is the correct alternative.