A point source is placed at coordinates (0,1) | vedclass

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

Question

(A) Let the source be at $S(0,1)$ and the point on the mirror be $M$. The reflected ray passes through $P(3,3)$.Since the mirror is along the $X$-axis

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) Let the source be at $S(0,1)$ and the point on the mirror be $M$. The reflected ray passes through $P(3,3)$.Since the mirror is along the $X$-axis, the image of the source $S(0,1)$ formed by the mirror is $I(0,-1)$.The path length of the reflected ray is $SM + MP$.By the law of reflection, $SM = IM$.Therefore, the total path length is $IM + MP = IP$.The distance $IP$ is the distance between points $I(0,-1)$ and $P(3,3)$.Using the distance formula: $IP = \sqrt{(3-0)^2 + (3 - (-1))^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.

Similar Questions

$A$ man runs towards a plane mirror at a speed of $15 \ m/s$. What is the speed of his image relative to the mirror? (in $m/s$)

What are the types of mirrors?

$A$ ray is reflected in turn by three plane mirrors mutually at right angles to each other. The angle between the incident and the reflected rays is......$^o$

Images formed by an object placed between two plane mirrors whose reflecting surfaces make an angle of $90^o$ with one another lie on

$A$ man runs towards a plane mirror at a speed of $15 \, m/s$. The speed of the image relative to the man is $...... \, m/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module