A hall has the dimensions 10m×10m×10m. A fly starting at one corner ends up at a diagonally opposite corner. The magnitude of its displacement is nearly
A
5√3m
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B
10√3m
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C
20√3m
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D
30√3m
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Solution
The correct option is B10√3m Let the dimensions of the room is depicted in the figure shown below.
Lets assume that the fly starts from corner A and reaches at corner B (which is diagonally opposite)
So, the length of the diagonal AC of the bottom face ∴(AC)2=(AD)2+(DC)2 ⇒AC=√102+102=10√2m
Now, the length of the diagonal of the hall is given by ∴(AB)2=(AC)2+(CB)2 ⟹AB=√(10√2)2+102=10√3m
Thus, the magnitude of displacement of the fly is 10√3m