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A cubical room is formed with six plane mirrors. An insect moves along the diagonal of the floor with uniform speed. the velocities of its images in two adjacent walls are 20x21/2 cm/s. then the velocity of the image formed by the roofs.

6 years ago

SAGAR SINGH - IIT DELHI
879 Points

Dear student,

The velocity of the image formed by the roofs=root 2 times 20x21/2

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Sagar Singh

B.Tech, IIT Delhi

6 years ago
Chetan Mandayam Nayakar
312 Points

let Vx and Vy be the components of velocity of insect. we have Vx=Vy,components of image velocity on adjacent walls are Vx and 2Vy, thus

(20x21/2)2=Vx2+Vy2=5Vx2=800, Vx2=160, components of image velocity on roof are Vx and Vy,

V2=Vx2+Vy2=2Vx2=320, V=3201/2=8√5 cm/s

6 years ago
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