Modern Physics Introduction Standing Wavelength and Frequency

[fallen186]

Homework Statement

Find the length of the smallest standing wave that can be formed with light having a frequency of 600THZ.

Homework Equations

$$f = 600*10^{12}Hz$$

$$c = 2.998x10^{8}\frac{m}{s}$$

$$\lambda f=c$$

The Attempt at a Solution

$$\lambda f=c$$

$$\lambda (600*10^{12}Hz)=(2.998x10^{8}\frac{m}{s}$$

$$\lambda = \frac{2.998x10^{8}\frac{m}{s}}{600*10^{12}Hz}$$

$$\lambda = 4.997x10^{-7}m$$

I think something is wrong because it is asking me to find a the "smallest" indicating that the wave can multiple values.

 

[ideasrule]

Think about a string. What's the relationship between the wavelength of any standing wave on the string and the length of the string? What's the longest possible wavelength on a string of fixed length?