Question

In a conical pendulum, the axial height of a night circular cone described by the string is $\sqrt{3}$ times the radius of the circular path of its bob. The tension in the string is:

• A. $2mg$
• B. $\sqrt{3}mg$
• C. $\frac{2}{\sqrt{3}}mg$
• D. $\frac{mg}{\sqrt{3}}$

Answer 1

The correct option is C $\frac{2}{\sqrt{3}}mg$

$Tsin\theta =mg\therefore T=\frac{mg}{sin\theta }=\frac{mg}{\left(\frac{\sqrt{3}}{2}\right)}=\frac{2mg}{\sqrt{3}}$