Question

A hall has the dimensions 10 m x 12 m x 14 m. A fly staring at one corner ends up at diagonally opposite corner.What is the magnitude if its displacement

• A. 17 m
• B. 26 m
• C. 36 m
• D. 21 m

Answer 1

The correct option is D 21 m

Given that,

The dimensions of the hall = $10$m, $14$m and $1$m respectively.

Now, the magnitude of the displacement

$d=\sqrt{{10}^2+{14}^2+{12}^2}$

$d=\sqrt{100+196+144}$

$d=\sqrt{440}$

$d=2\sqrt{110}$

$d=2\times 10.48$

$d=20.97$m

$d=21$m

Hence the displacement is 21 m.