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A plane mirror is placed with its plane ...

A plane mirror is placed with its plane at an angle `30^(@)` with the y-axis. Plane of the mirror is perpendicular to the xy-plane and the length of the mirror is 3m. An insect moves along x-axis starting from a distant point, with speed 2 cm/s. The druation of the time for which the insect can see its shown image in the mirror is:

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