Waves traveling along a string have a wavelength of 2.4m. When the waves reach the fixed end of the string, they are reflected to produce a standing wave pattern. How far from the end are the first 2 antinodes?

I feel like I don't have enough info here... I know that 1 wavelength consists of 2 antinodes but I'm not sure how that helps me get that number. Thanks :)

L/4 , 3L/4 .......... every 1/2 wavelength thereafter

so
.6 , 1.8 ... etc
http://en.wikipedia.org/wiki/Standing_wave

To make it easy for yourself think of a harp string half a wavelength long. In its lowest frequency it has nodes at the two ends which are fixed, half wavelength apart. Then the antinode is in the middle which is 1/4 wavelength from each end :)

Ok, I'm still a little bit confused. How do you know that it's half a wave length across?

& in that case I'm saying .5 wavelength=L? & .25wavelength=each antinode?

Thanks again :)

To determine the distance from the fixed end to the first two antinodes, we need to consider the properties of standing waves on a string.

In a standing wave, the distance between adjacent antinodes (or nodes) is equal to half a wavelength. In other words, within each complete wave, there is one antinode and one node. Therefore, the distance between two adjacent antinodes is one full wavelength.

Given that the wavelength of the waves traveling along the string is 2.4 meters, the distance between adjacent antinodes would be half of that, which is 1.2 meters.

To find the distance from the fixed end to the first antinode, you need to divide the wavelength by 2 since there is one antinode at the fixed end. So, the distance from the end to the first antinode is 2.4 meters / 2 = 1.2 meters.

Similarly, to find the distance to the second antinode, you simply add one wavelength, since there is one complete wave (one wavelength) between the first and second antinodes. Therefore, the distance from the end to the second antinode is 1.2 meters + 2.4 meters = 3.6 meters.

Hence, the distance from the end to the first two antinodes are 1.2 meters and 3.6 meters, respectively.