Your attempt looks good except for the first one.

[vande060]

Homework Statement

Your automobile antenna is 1m in length and is fixed at one end, free at the other. When you drive on an
uneven road, waves can be excited on the antenna. Compute the wavelengths of the four longest wavelength standing
waves that your antenna will allow.

Homework Equations

for a standing wave i know these equations exist

λn =(2/n )*L

also A' = -A

furthermore, I know that the fixed end of the antenna could be considered to have infinite density

The Attempt at a Solution

the four longest wavelengths should be:

2/1 * 1 = 2 m
2/2 * 1 = 1 m
2/3 * 1 = 2/3m
2/4 * 1 = .5m

is this even close?

 

[Beaker87]

Homework Statement

Your automobile antenna is 1m in length and is fixed at one end, free at the other. When you drive on an
uneven road, waves can be excited on the antenna. Compute the wavelengths of the four longest wavelength standing
waves that your antenna will allow.

If it is fixed at one end and free at the other, one end must be a node, and the other end must be an antinode.

Try to draw what the acceptable standing waves would look like; that will help you to find their wavelengths.