Question

The displacement of tip of the second hand of an analog watch when it turns for $15\text{sec}$ is

• A. $5\text{cm}$
• B. $10\text{cm}$
• C. $5\sqrt{2}\text{cm}$
• D. $3\sqrt{2}\text{cm}$

Answer 1

The correct option is C $5\sqrt{2}\text{cm}$

After $15\text{sec}$ the position of the second hand will be as shown


The displacement of the tip of the second hand is given by
$\sqrt{5^2+5^2}=5\sqrt{2}\text{cm}$