Question

Two bodies of metal are mounted on glass stands. Their surface area is equal but one is a sphere and other is pear shaped. Both are given the same amount of charge. Which one will lose its charge first?

Answer 1

The pear shaped will loose charge faster.

As the sphere encloses more volume ( out of all shapes having same surface area a sphere encloses largest volume)
so sphere has less charge density ( as density is inversely proportional to volume)
and pear shaped body has more charge density
Always the body having more charge density will discharge earlier. .
Therefore pear shaped body will discharge faster.