Two spherical bodies of mass M and 5 M and radiiR and 2 R are released in free space with initialseparation between their centres equal to 12 R. If they attract each other due to gravitational forceonly, then the distance covered by the smaller body before collision is :

Kepler's third law states that square of period ofrevolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet
i.e. T2 = Kr³ here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is
F = GMm/r², here G is gravitational constant. The relation between G and K is described as :

A particle is executing SHM along a straight line.Its velocities at distances x1 and x2 from the meanposition are V1 and V2, respectively. Its time period is :-

A block A of mass m1 rests on a horizontal table.
A light string connected to it passes over a
frictionless pulley at the edge of table and from its
other end another block B of mass m₂ is suspended.
The coefficient of kinetic friction between the block
and the table is µk. When the block A is sliding on
the table, the tension in the string is :-

Two identical thin plano-convex glass lenses
(refractive index 1.5) each having radius of
curvature of 20 cm are placed with their convex
surfaces in contact at the centre. The intervening
space is filled with oil of refractive index 1.7. The
focal length of the combination is :-

A mass m moves in a circle on a smooth horizontal
plane with velocity v0 at a radius R0. The mass is
attached to a string which passes through a smooth
hole in the plane as shown.

The tension in the string is increased gradually and
finally m moves in a circle of radius  R₀/2.The final
value of the kinetic energy is :-