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A plane mirror is placed with its plane at an angle of 30⁰ with the y-axis. Plane of the mirror is perpendicular to the x-y plane and the length of the mirror is 3 cm. An insect moves along x-axis starting from a distant point with a speed 2cm/s. Find the duration of the time (in sec) for which the insect can see its own image in the mirror.

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answer is 3.

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Detailed Solution

The insect can see its image in the region shown below

Length of OA is 6cm

So the time that the insect can see its image is $\frac{6 cm}{2 cm / s} = 3 s$

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