Question

An insect moves with a constant velocity v from one corner of a room to other corner which is opposite of the first corner along the largest diagonal of room. If the insect can not fly and dimensions of room is a × a × a, then the minimum time in which the insect can move is `"a"/"v"`. times the square root of a number n, then n is equal to ______.

Options

• 2.83

• 3.83

• 4.83

• 5.83

Answer 1

An insect moves with a constant velocity v from one corner of a room to other corner which is opposite of the first corner along the largest diagonal of room. If the insect can not fly and dimensions of room is a × a × a, then the minimum time in which the insect can move is `"a"/"v"`. times the square root of a number n, then n is equal to 5.83.

Explanation:

t_min = `("a"+sqrt2"a")/"V" = sqrt"na"/"V"`

n = 3 + 2`sqrt2`

= 5.83