A hall has the dimensions $10 m \times 12 m \times 14 m$ . Taking one corner as the origin . A fly starting from origin ends up at a diagonally opposite corner. Then calculate the magnitude of the position vector of fly.

17 m

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26 m

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36 m

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21 m

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Solution

The correct option is D $21 m$

Diagonal of the hall $= \sqrt{l^{2} + b^{2} + h^{2}}$
$\Rightarrow \sqrt{10^{2} + 12^{2} + 14^{2}} = \sqrt{100 + 144 + 196}$
$\Rightarrow \sqrt{440} = 20.97 \approx 21 m$

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Q. A hall has the dimensions

10 m \times 12 m \times 14 m

. A fly starting at one corner ends at a diametrically opposite corner . What is the magnitude of its displacement

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A hall has the dimensions 10 m×12 m×14 m. Taking one corner as the origin . A fly starting from origin ends up at a diagonally opposite corner. Then calculate the magnitude of the position vector of fly.

The correct option is D 21 m Diagonal of the hall =√l2+b2+h2 ⇒ √102+122+142=√100+144+196 ⇒ √440=20.97≈21 m

A hall has the dimensions $10 m \times 12 m \times 14 m$ . Taking one corner as the origin . A fly starting from origin ends up at a diagonally opposite corner. Then calculate the magnitude of the position vector of fly.

The correct option is D $21 m$

Diagonal of the hall $= \sqrt{l^{2} + b^{2} + h^{2}}$
$\Rightarrow \sqrt{10^{2} + 12^{2} + 14^{2}} = \sqrt{100 + 144 + 196}$
$\Rightarrow \sqrt{440} = 20.97 \approx 21 m$