If I bring a 500 gauss magnet near to a 50 gauss magnet to repel them each other.will then both magnets repel each other with equal force or the 500 gauss magnet will repel 50 gauss magnet to more distance?

The force will be equal on each magnet. However, with the same force, acceleration of each magnet will be inversely proportional to mass

F=ma
a=F/mass

To determine whether the two magnets will repel each other with equal force or if the 500 gauss magnet will repel the 50 gauss magnet to a greater distance, we need to understand the relationship between the strength of magnets and their repulsion force.

The strength of a magnet is typically measured in gauss or tesla, which are units of magnetic field strength. The higher the gauss or tesla value, the stronger the magnet.

When two magnets are brought close together, their magnetic fields interact. Magnets have two poles: a north pole and a south pole. Like poles (north with north or south with south) repel each other, while opposite poles attract.

The force of repulsion between magnets is influenced by several factors, including the strength of the magnets and the distance between them. The force of repulsion decreases as the distance between the magnets increases.

In this case, if you bring a 500 gauss magnet near a 50 gauss magnet with like poles facing each other, the repulsion force will depend on the relative strengths of the magnets.

Assuming both magnets have the same physical size and shape, the 500 gauss magnet will generally exert a stronger force of repulsion compared to the 50 gauss magnet. Therefore, the 500 gauss magnet will likely repel the 50 gauss magnet to a greater distance.

However, it's important to note that the exact distance of separation will depend on various factors, such as the specific magnet design, the distance between the magnets, and any intervening materials. For a more precise understanding of the repulsion forces, you may need to consider the magnet's magnetic moment or consult magnet manufacturer specifications.