Answer:
λ =8.57 μ m
Explanation:
Given that
Ey = 375 cos [kx − (2.20 × 10¹⁴ rad/s)t] N/C
Standard form
Ey=Eo cos[k x-ωt] N/C
By comparing the given equation with the standard wave equation
Eo = 375 N/C
ω = 2.20 × 10¹⁴ rad/s
We know that ω = 2 π f
[tex]f=\dfrac{\omega}{2\pi }[/tex]
[tex]f=\dfrac{2.2\times 10^{14}}{2\pi }\ Hz[/tex]
f=3.50×10¹³ Hz
We know that the velocity given as
V = f λ
λ =Wavelength
V=Speed = 3 x 10⁸ m/s
[tex]\lambda =\dfrac{V}{f }[/tex]
[tex]\lambda =\dfrac{3\times 10^8}{3.5\times 10^{13}}\ m[/tex]
λ =0.00000857 m ( 1 μ m = 10⁶ m)
λ =8.57 μ m
