Question

the ray from laser pointer hits. plane mirror and the reflected ray strikes the screen. how far away from point X should the ray strike the mirror to cause the reflected ray to hit point R?

Answer 1

Answer:

Hey mate your answer is 16 cm..

Explanation:

Please see the photo for complete explanation.

Thank You...Hope it helps you..

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Answer 2

Given:

From the figure -

X is the mirror and R is a point on the screen

Distance of laser point from X = 8cm

To find: Distance of point of incidence from X

Calculation:

From the figure below:

• MN is the normal at the point of incidence i.e. O.

• Let the angle of incidence be x, then the angle of reflection will also be equal to x.

From ΔAXO and ΔRBO:

• ∠AXO = ∠RBO = 90°

• ∠OAX = ∠ORB = x

• And ∠AOX = ∠ROB = 90° - x

Therefore, both the triangles, ΔAXO and ΔRBO are similar.

For similar triangles:

$\frac{AX}{RB} =\frac{XO}{OB}$

Let XO be p.

Now,

$\frac{8}{4} =\frac{p}{24-p} \\192-8p = 4p\\p=16cm$

Answer:

Point of incidence from X is 16 cm.