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

5 \sqrt{3}

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10 \sqrt{3}

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20 \sqrt{3}

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30 \sqrt{3}

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Solution

The correct option is B $10 \sqrt{3}$ m
Initial coordinates of fly (0,0,0) assume starting end of room to be origin.
Final coordinates of fly (10,10,10), hence it undergoes a displacement of 10 along each dimension.
Magnitude of displacement $= \sqrt{(} x^{2} + y^{2} + z^{2}) = 10 \sqrt{3} m$
Hence option B is correct.

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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

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