Q. 43

Expert-verified
Found in: Page 568

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# You are watching a science fiction movie in which the hero shrinks down to the size of an atom and fights villains while jumping from air molecule to air molecule. In one scene, the hero's molecule is about to crash head-on into the molecule on which a villain is riding. The villain's molecule is initiallymolecular radii away and, in the movie, it takesfor the molecules to collide. Estimate the air temperature required for this to be possible. Assume the molecules are nitrogen molecules, each traveling at the rms speed. Is this a plausible temperature for air?

Temperature for the air is,unrealistically low.

See the step by step solution

## Step 1: Formula for root mean square

Root mean square with distance be covered in time,

We may calculate the rms speed using the formula,

## Step 2: Calculation for temperature

where is the mass of one particle.

Equating and equation,

Substituting and we get,

,unrealistically low