Question

On a displacement time graph ,two straight lines make angles of ${45}^0$ and ${60}^0$ with the time axis , the ratio of the velocities represented by them is

• A. $1:\sqrt{2}$
• B. $1:\sqrt{3}$
• C. $\sqrt{2}:1$
• D. $\sqrt{3}:1$

Answer 1

The correct option is B $1:\sqrt{3}$

Ratio of velocities
$\frac{v_A}{v_B}=\frac{tan{\theta }_1}{tan{\theta }_2}$
$=\frac{tan{45}^0}{tan{60}^0}=\frac{1}{\sqrt{3}}$
$=1:\sqrt{3}$