What did thompson‘s and rutherford‘s experiments have in common

Both of them believed that atoms contained negatively charged electrons.

In 1911, Rutherford discovered that atoms have a small charged nucleus which is surrounded by largely empty space, and are circled by tiny electrons. It was  known as the Rutherford model or planetary model of the atom. Similarly in 1897, Thomson proved that the cathode rays produced from the cathode were actually a stream of negatively charged particles called electrons. So both of them gave the concept of electrons that they are negatively charged particles.

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

the correct answer would be b. amelia, because the particals of gas move really fast (charged particals) and gas also has a lot of room (particals move independently) so the only answer that has both of those is amelia's.