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Byju's Answer

Standard XII

Physics

Image of Point Object in Plane Mirror

A ray of ligh...

Question

A ray of light is coming along the line $y = 2$ from the positive direction of $x -$ axis and strikes a concave mirror whose intersection with the $x - y$ plane is a parabola $y^{2} = 8 x$ , then the equation of the reflected ray is

2 x + 5 y = 4

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3 x + 2 y = 6

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4 x + 3 y = 8

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5 x + 4 y = 10

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Solution

The correct option is D $4 x + 3 y = 8$
Point of intersection of $y = 2$ and $y^{2} = 8 x$ is $P (\frac{1}{2}, 2)$ and focus of the parabola is $S (2, 0)$
$∴$ Equation of the reflected ray is $y - 0 = \frac{2 - 0}{\frac{1}{2} - 2} (x - 2)$
$\Rightarrow y = - \frac{4}{3} (x - 2)$
$\Rightarrow 4 x + 3 y = 8$

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A ray of light is coming along the line y=2 from the positive direction of x− axis and strikes a concave mirror whose intersection with the x−y plane is a parabola y2=8x, then the equation of the reflected ray is

The correct option is D 4x+3y=8Point of intersection of y=2 and y2=8x is P(12,2) and focus of the parabola is S(2,0)∴ Equation of the reflected ray is y−0=2−012−2(x−2)⇒y=−43(x−2)⇒4x+3y=8

A ray of light is coming along the line $y = 2$ from the positive direction of $x -$ axis and strikes a concave mirror whose intersection with the $x - y$ plane is a parabola $y^{2} = 8 x$ , then the equation of the reflected ray is