Question

what is the magnitude of its displcement? when a hall has a dimensions 10,12,14m.a fly starting end up at diametrically opposite corner.

Answer 1

Your answer is ---


Let considered Hall as a couboid .

such that it's dimension is

length l = 10m

breadth d = 12m

height h = 14m

since, a fly satrting end up at diametrically opposite corner .

So, magnitude of displacement of fly is equal to the magnitude of diagonal of cuoboid .

Now, diagonal of cuoboid is

$\sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \: = \sqrt{ {10}^{2} + {12}^{2} + {14}^{2} } \\ \\ = \sqrt{100 + 144 + 196} = \sqrt{440} \\ \\ = 2 \sqrt{110} meter$


Henec, displacement is 2√110 meter


Hope it helps you