Consider an electron near the Earth's equator. In which direction does it tend to deflect if its velocity is directed in each of the following directions?

(a) downward: WEST
(b) northward .
(c) westward
d) southeastward

I go the first one right using the right hand rule and now I keep doing the right hand rule and I can't get the remaining ones right. I know the magnetic field runs south to north.

a) west

b) zero deflection
c) up
d) down

west, zero-deflection, up, and down

a) West

b) Zero deflection
c) Up
d) Down

To determine the direction in which an electron near Earth's equator deflects, we need to consider the interaction between the electron's velocity (v) and the magnetic field (B) in that region (which runs from south to north).

We can use the Right Hand Rule to find the direction of the deflection. Here's how you can apply it to each scenario:

(a) Downward velocity (v) - WEST deflection:
1. Point your thumb in the direction of the downward velocity (v), which is pointing DOWN.
2. Strengthen your fingers in the direction from SOUTH to NORTH for Earth's magnetic field (B).
3. The direction in which your palm points is the direction of deflection, which would be WEST.

(b) Northward velocity (v) - ? deflection:
1. Point your thumb in the direction of the northward velocity (v), which is pointing NORTH.
2. Strengthen your fingers in the direction from SOUTH to NORTH for Earth's magnetic field (B).
3. Determine the direction your palm points using the Right Hand Rule. This direction would be the deflection direction.

(c) Westward velocity (v) - ? deflection:
1. Point your thumb in the direction of the westward velocity (v), which is pointing WEST.
2. Strengthen your fingers in the direction from SOUTH to NORTH for Earth's magnetic field (B).
3. Determine the direction your palm points using the Right Hand Rule. This direction would be the deflection direction.

(d) Southeastward velocity (v) - ? deflection:
1. Point your thumb in the direction of the southeastward velocity (v).
2. Determine which component of the velocity is more significant (eastward or southward) and parallel it with your thumb.
3. Now, follow the previous steps by pointing your thumb, strengthening your fingers in the direction from SOUTH to NORTH for Earth's magnetic field (B), and then determine the deflection direction with your palm.

Remember, the strength of the deflection will depend on the velocity, the strength of the magnetic field, and the charge of the particle. But for determining the direction in these cases, you can use the Right Hand Rule.