There are two plane mirrors with reflecting s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the two mirrors be $M_1$ and $M_2$ moving away from each other with speed $v$. Let the object $O$ be at rest.For the first image $I_1$ formed

Vedclass · Accepted Answer

$2nv$

Vedclass · Answer

(B) Let the two mirrors be $M_1$ and $M_2$ moving away from each other with speed $v$. Let the object $O$ be at rest.For the first image $I_1$ formed by $M_1$: The object is at rest,and the mirror moves away with speed $v$. The image moves away from the mirror with speed $v$ relative to the mirror. Thus,the velocity of the image relative to the ground is $v + v = 2v$.For the first image $I_2$ formed by $M_2$: Similarly,the image moves away from the mirror with speed $v$ relative to the mirror,and the mirror moves away with speed $v$ relative to the ground. Thus,the velocity of the image relative to the ground is $2v$ in the opposite direction.As the process continues,the $n$-th image is formed by successive reflections. The velocity of the $n$-th image increases by $2v$ for each order of reflection. Specifically,the velocity of the $n$-th image is $2nv$.

$(i)$ Velocity of image	$(a) \; 2 \; m/s$
$(ii)$ Velocity of image with respect to mirror	$(b) \; 20 \; m/s$
$(iii)$ Velocity of image with respect to object	$(c) \; 11 \; m/s$
$(iv)$ Velocity of image if mirror is stopped	$(d) \; 22 \; m/s$

There are two plane mirrors with reflecting surfaces facing each other. The mirrors are moving with speed $v$ away from each other. $A$ point object is placed between the mirrors. The velocity of the $n$-th image will be

Similar Questions

An object is moving with a velocity of $2 \ m/s$ to the left,and a plane mirror is moving with a velocity of $9 \ m/s$ to the right. Find the velocity of the image with respect to the ground.

An image of an object approaching a convex mirror of radius of curvature $20 \ m$ along its optical axis is observed to move from $\frac{25}{3} \ m$ to $\frac{50}{7} \ m$ in $30 \ s$. What is the speed of the object in $km/h$?

The bob of a pendulum is released from position $P$. What is the velocity of the image of the bob on the mirror $M$ at position $Q$ with respect to the bob?

An object is at a distance of $20\,m$ from a convex lens of focal length $0.3\,m$. The lens forms an image of the object. If the object moves away from the lens at a speed of $5\,m/s$,the speed and direction of the image will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module