The interaction energy of London forces between two particles is proportional tomr^x, where r is the distance between the particles. The valuebof x is

The interaction energy of London forces, often referred to as van der Waals forces, generally depends on the distance between the particles. In the case of London dispersion forces, the interaction energy $E$ is given by the equation:

$E = -\frac{C}{r^6}$

where:

• $E$ is the interaction energy,
• $r$ is the distance between the particles,
• $C$ is a constant that depends on the polarizability of the particles.

From this relationship, we can observe that the interaction energy is inversely proportional to $r^6$. Therefore, in your formulation where the interaction energy is proportional to $m r^x$, we can deduce that:

$x = -6$

Final Answer

The value of $x$ is $-6$.