A wooden block sliding down from the top of a smooth inclined plane starting from rest takes $t_1$ seconds to reach the bottom of the plane and attains velocity $v_1$. Another block of twice the mass falling freely in air from the same height takes $t_2$ seconds to reach the bottom of the plane and attains velocity $v_2$. If the angle of inclination of the plane is ${30}^0$, then

Q.

A point moves with uniform acceleration and $v_1,v_2$ and $v_3$ denote the average velocities in the three successive intervals of time $t_1,t_2$ and $t_3$. Which of the following relations is correct?

Q.

A block, released from rest from the top of a smooth inclined plane of angle of inclination ${\theta }_1$, reaches the bottom in time $t_1$. The same block, released from rest from the top of another smooth inclined plane of angle of inclination ${\theta }_2$, reaches the bottom in time $t_2$. If the two inclined planes have the same height, the relation between $t_1$ and $t_2$ is

Q. A block released from rest from the top of a smooth inclined plane of angle ${\theta }_1$ reaches the bottom in time $t_1$. The same block released from rest from the top of another smooth inclined plane of angle ${\theta }_2$, reaches the bottom in time $t_2$. If the two inclined planes have the same height, the relation between $t_1$ and $t_2$ is

Q. A block at rest slides down a smooth inclined plane which makes and angle ${60}^o$ with the vertical and it reaches the ground in $t_1$ seconds. Another block is dropped vertically from the same point and reaches the ground in $t_2$ seconds. What is the ratio of $t_1:t_2$?

Q. A point moves with uniform acceleration and $v_1,v_2,v_3$ denote the average velocities in three successive intervals of time $t_1,t_2,t_3$ . Then, the relation $\frac{v_1-v_2}{v_2-v_3}$ is