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Q.

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

Question Image

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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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.