Question

Column 1: shows the bob of mass m tied to string of length
$\ell$ and initial velocity (at lowest point) as shown in figure.

Column 2: shows the angle made by string with downward vertical and

Column 3: shows speed of bob at angle$\theta$.


Which of the following is correctly matched?

• A. (I) (iv) (Q)
• B. (II) (iv) (Q)
• C. (II) (ii) (R)
• D. (III) (iv) (P)

Answer 1

The correct option is B (II) (iv) (Q)

Let the velocity at the lowest position is $V_0$ and $V$ at an angle $\theta$.

By conservation of energy,
$\frac{m{V_0}^2}{2}+mg(l-lcos\theta )=\frac{m{V}^2}{2}$

Applying this equation and placing different values of $\theta$ we will arrive at different values of $V$.