Two mirrors are inclined at an angle of 30∘. An object is placed making an angle of 10∘ with mirror M1. The position of the second image formed by mirrors M1 and M2 with respect to mirrors M1 and M2 respectively will be
A
50∘ from M1 and 40∘ from M2
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B
30∘ from M1 and 20∘ from M2
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C
70∘ from M1 and 40∘ from M2
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D
10∘ from M1 and 80∘ from M2
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Solution
The correct option is A50∘ from M1 and 40∘ from M2 All the images will lie on a circle whose centre is the intersection point of mirrors and radius equal to the distance of the object from the intersection point.
On applying, object angular position = image angular position w.r.t mirror, we get, the images of the object as shown in the figure.
From figure, we can see that second image formed by mirrors M1 and M2 will be at 50∘ from M1 and at 40∘ from M2.