A simple pendulum with bob of mass $m$ and length $x$ is held in position at an angle ${\theta }_1$, and then angle ${\theta }_2$ with the vertical. When released from these positions, speeds with which it passes the lowest positions are $v_1$ and $v_2$ respectively. Then $\frac{v_1}{v_2}$ is

Q. Two particles of equal mass m are projected from the ground with speeds $v_1$ and $v_2$ at angles ${\theta }_1$ and ${\theta }_2$ as shown in the figure. Given ${\theta }_2>{\theta }_1$ and $v_{1}cos{\theta }_1=v_{2}cos{\theta }_2$. Which statement/s is/are correct?

Q.

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles ${\theta }_1$ and ${\theta }_2$ respectively from the horizontal, then answer the following questions: If $v_{1}cos{\theta }_1$ = $v_{2}cos{\theta }_2$, then choose the incorrect statement

Q. Trajectory of two particles projected from origin with speeds $v_1$ and $v_2$ at angles ${\theta }_1$ and ${\theta }_2$ with positive x-axis respectively are as shown in the figure. Given that $g=-10{\text{m/s}}^2\left(\hat{j}\right)$. Choose the correct option(s) related to diagram.

Q. Trajectories of two particles projected from origin with speed $v_1$ and $v_2$ and angles ${\theta }_1$ and ${\theta }_2$ with positive $x-$ axis, respectively, are as shown in the figure. Given that $g=10m/s^2$, find the ratio of ${\theta }_1$ to ${\theta }_2$.

Q. A simple pendulum with bob of mass m and length $l$ is held in position at an angle $\theta$ with the vertical. Its speed when it passes the lowest position is