An insect is at a corner of cubical room of side ‘l’. It can move with a constant speed of ‘v,’ then the time taken to reach the farthest corner of cube is
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a
3lv
b
3lv
c
5lv
d
2+1lv
answer is B.
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Detailed Solution
Let on insect is at corner ‘A’ the farthest corner is EThen the displacement of insect is AE AE=AH2+HE2 AE=2l2+l2 AE=3lTime taken is tvelocity=displacementtime time t=AEVelocity of insect ⇒time taken by insect =3lV