WBJEE · Physics · Ray Optics
A point source is placed at coordinates (0,1) in \(x y\) -plane. A ray of light from the source is reflected on a plane mirror placed along the
\(X\) -axis and perpendicular to the \(x y\) -plane. The reflected ray passes through the point \((3,3) .\) What is the path length of the ray from (0,1) to (3,3)\(?\)
- A 5
- B \(\sqrt{13}\)
- C \(2 \sqrt{3}\)
- D \(1+2 \sqrt{3}\)
Answer & Solution
Correct Answer
(A) 5
Step-by-step Solution
Detailed explanation
Ray diagram for the question. \(I\) is image of source \(S\) by the plane mirror placed perpendicularly along \(X\) -axis. \(S M=I M\) \(\therefore P M+M S=P M+M I=P I\) \(\therefore \quad P I=\sqrt{(3-0)^{2}+(3+1)^{2}}\) \(=\sqrt{9+16}=\sqrt{25}=5\)
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