Question

A body moves along a curved path of a quarter circle.Calculate the ratio of distance to displacement :

• A. $11:7$
• B. $7:11$
• C. $11:7\sqrt{2}$
• D. $7:11\sqrt{2}$

Answer 1

Answer: (C)

$11:7\sqrt{2}$

Perimeter of circle is $2\pi R$

Hence, distance on the quarter circle is $d$ =$\frac{2\pi R}{4}=\frac{\pi R}{2}$

Displacement is $D$ =$R\sqrt{2}$

$\therefore$ $d:D=\frac{\pi R}{2}:R\sqrt{2}$

$\pi =\frac{22}{7}$

$d:D=11:\sqrt{2}\times 7$