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}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100^{o}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

70^{o}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

120^{o}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

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

Suggest Corrections

Similar questions

Q. Two plane mirror are inclined to one another at an angle of

60^{o}

. A ray is incident on mirror

M_{1}

at an angle

i

. The reflected ray from mirror

M_{2}

is parallel to mirror

M_{1}

as shown in figure. The angle of incidence

i

is:

The plane mirrors $M_{1}$ and $M_{2}$ are inclined to each other such that a ray of light incident on mirror $M_{1}$ and parallel to the mirror $M_{2}$ is reflected from mirror $M_{2}$ parallel to the mirror $M_{1}$ . The angle between the two mirror is (in degrees)