Why does not the electron in a beam from an electron gun fall as much under gravity as a water molecule in a stream from a hose?

Answer 1

It does. If both are shot horizontally, both the electrons and the water drops

fall the same distance in the same amount of time on account of gravity ...

about 16 feet after one second.

But the water may be moving horizontally at 50 feet per second, and the electron

beam may be moving horizontally at 491 million feet per second. If those numbers

are anywhere close, then across a 12-ft room, the water droplets will fall 11 inches,

and the electrons will fall 0.0000000000000096 inch. That's why you don't notice it.

Answer 2

Electrons are much lighter than water molecules, so they are less affected by gravity. Additionally, the velocity of electrons in a beam from an electron gun is typically high enough to counteract the gravitational pull, resulting in minimal vertical displacement. Conversely, water molecules in a stream from a hose have more mass and are less affected by their velocity compared to the force of gravity, causing them to fall closer to the expected trajectory.