Answer:
[tex]2 \times 10^{-5}\ m[/tex]
Explanation:
[tex]v = f \lambda[/tex]
velocity of wave = frequency x wavelength
I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).
Every type of EM radiation has the same velocity — the speed of light.
Speed of light, known as [tex]c[/tex] — 300 000 000 = [tex]3 \times 10^8[/tex]
velocity: [tex]c = 3 \times 10^8[/tex] [tex]ms^{-1}[/tex]
frequency: [tex]f = 1.5 \times 10^{13}[/tex] [tex]\text{Hz}[/tex]
wavelength: [tex]\lambda =\ ?[/tex] [tex]m[/tex]
[tex]v = f \lambda\\3 \times 10^8 = 1.5 \times^{13}\ \times \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = \frac{3 \times 10^8}{1.5 \times 10^{13}} = 2 \times 10^{-5}[/tex] [tex]m[/tex]
