$A$ cubical room is made of mirrors. An insect is moving along the diagonal on the floor such that the velocity of the image of the insect on two adjacent wall mirrors is $10 \, cm \, s^{-1}$. The velocity of the image of the insect in the ceiling mirror is:

  • A
    $10 \, cm \, s^{-1}$
  • B
    $20 \, cm \, s^{-1}$
  • C
    $\frac{10}{\sqrt{2}} \, cm \, s^{-1}$
  • D
    $10\sqrt{2} \, cm \, s^{-1}$

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$(b)$ Minimum length of mirror is $85 \, cm$
$(c)$ Bottom of the mirror should be at a height $80 \, cm$
$(d)$ Bottom of the mirror should be at a height $85 \, cm$

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