Two objects of masses `m_(1) and m_(2)` having the same size are dropped simultaneously from heights `h_(1) and h_(2)` respectively. Find out the ratio of time they would take in reaching the ground. Will this ratio remain the same if both of them are hollow, size remaining the same in each case. give reason.

Two particles A_1 and A_2 of masses m_1 , m_2(m_1>m_2) have the same de-Broglie wavelength then

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m/s and 1 m/s, respectively. They collide and after the collision , the first object moves at a velocity of 1.67 m /s Determine the velocity of the second object.

Two particles of equal masses are revolving in circular paths of radii r_1 and r_2 respectively with the same time period .The ratio fo the centripetal force is :

Two masses m and 2m are dropped from height h and 2h. On reaching the ground, which will have a greater kinetic energy and why ?

Two stones are thrown vertically upwards simultaneously with their initial velocities u_(1) and u_(2) respectively. Prove that the heights reached by them would be in the ratio of u_(1)^(2) : u_(2)^(2) (Assume upward acceleration is -g and downward acceleration to be + g).

Galileo's experminet showed that if the two objects of unequal masses are dropped from the sme height in vaccum,the times required by tehm are equal to reach the ground.But,if they are shown vertically upwards in vaccum with the same initial velocity what is the ratio of the times required to reach the ground?

Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of potentail difference applied across them so that the magnetic field at their centres is the same?