When the process of condensation occurs, the kinetic energy of particles
is insufficient to overcome intermolecular forces.
becomes independent of temperature.
becomes exactly equal to the intermolecular forces.
easily overcomes the intermolecular forces.

The process in which change in physical state of the substance or matter occurs i.e. from gas phase to liquid phase is said to be condensation.

The energy of an object which possesses due to its motion is said to be kinetic energy.

In condensation process, as gas is changes into liquid, thus, particle losses heat energy during cooling. Therefore, kinetic energy decreases, and the forces present between the molecules i.e. intermolecular forces get stronger.

First option: true, kinetic energy is insufficient to overcome the intermolecular forces (forces present between the particles).

Second option: Kinetic energy depends upon the temperature. Thus statement is incorrect.

Third option: Kinetic energy is not sufficient as it becomes exactly equal to intermolecular forces.

Fourth option: This statement is also false, due to less amount of kinetic energy, it is not possible to easily overcome the forces present between the particles.

Thus, in condensation process, kinetic energy is insufficient to overcome intermolecular forces.

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3