A light string passing over a smooth light pulley connects two blocks of masses `m_1` and `m_2` (vertically). If the acceleraton of the system is `g//8`, find the ratio of the two masses.

Two bodies of masses m_1 and m_2 are connected byh a ight string passing over a smooth light pulley fixed at the end of an inclined plane.the mass m_1 lies on the inclined plne nd m_2 bags vertically.The system is at rest.Find the angle of the inclination of the inclined plane and the force exerted by the inclined plane on the body of mass m_1 .

A particle of mass M at rest decays into two particles of masses m_1 and m_2 havibng non zero eloctities.What is the ratio of the de-Bronglie waveelngths of the two particles?

In the figure, a body A of mass m slides on plane inclined at angle theta_1 to the horizontal and mu_1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a fictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle theta_2 to the horizontal which of the following statements are true ?

Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.

If F is the force between two bodies of masses m_1 and m_2 at certain separation, then what is the force between sqrt5m , and sqrt3m_2 at same separation?

A system consists of two particles of masses M and m(M>m) separated by distanced.What will be the position of CM?

If a gas contains molecules of two different masses m_1 and m_2 both at the same temperature, then (v_1/ v_2)_(r.m.s.) is:

A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is L. A conducting massless rod of resistance R can slide on the rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the edge of the table, A mass m, tied to the other end of the string hanges vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest, calculate. the acceleration of the mass at the instant when the velocity of the rod is half the terminal velocity.

Two particles of equal masses m and m are connected by a light string of length 2l. A constant force F is applied continuously at the mid-point of the string, always along the perpendicular bisector of the straight line joining the two particles. Show that when the distance between the two particles is x, the acceleration of the particle is a = F/m = (x)/((1^2 - x^2) ^(1//2)

Two bodies of mass m_1 andm_2(>m_1) have equal linear momentum. Which body possesses greater kinetic energy?