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Question

A hall has the dimensions 10 m×10 m×10 m. A fly starting at one corner ends up at a diagonally opposite corner. The magnitude of its displacement is nearly

A
53 m
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B
103 m
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C
203 m
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D
303 m
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Solution

The correct option is B 103 m
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=102 m
Now, the length of the diagonal of the hall is given by
(AB)2=(AC)2+(CB)2
AB=(102)2+102=103 m
Thus, the magnitude of displacement of the fly is 103 m

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