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Standard X

Physics

Formation of Rainbows

Two plane mir...

Question

Two plane mirrors are inclined to each other at an angle of $55^{\circ}$ as shown in figure. A ray of light PO incident at some angle i on the mirror $M_{1}$ falls after reflection from it, on the other mirror $M_{2}$ from which it gets reflected along a direction parallel to the plane mirror $M_{1} .$ Find the value of i.

45^{o}

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100^{o}

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70^{o}

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120^{o}

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Solution

The correct option is C $70^{o}$

As the final reflected ray is parallel to mirror $M_{1}$ hence, $θ = 55^{\circ} (Correcponding angles) I n Δ A C O 55^{\circ} + 55^{\circ} + i = 180 110 + i = 180 \Rightarrow i = 180 - 110 = 70^{\circ} i = 70^{\circ}$

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The correct option is C 70o As the final reflected ray is parallel to mirror M1 hence, θ=55∘ (Correcponding angles)In ΔACO55∘+55∘+i=180110+i=180⇒i=180−110=70∘i=70∘

The correct option is C $70^{o}$

As the final reflected ray is parallel to mirror $M_{1}$ hence, $θ = 55^{\circ} (Correcponding angles) I n Δ A C O 55^{\circ} + 55^{\circ} + i = 180 110 + i = 180 \Rightarrow i = 180 - 110 = 70^{\circ} i = 70^{\circ}$