Answer:
(a) 10 nm
(b) 1 Hz
(c) 20 V/m
Explanation
The equation of a progressive wave is given by:
y = Asin(kx ± ωt)
where;
A is the amplitude of the wave in meters
y(x,t) is the displacement in meters
k = 2π/λ is the propagation constant
ω = 2πf is the angular frequency in radian per seconds
The equation now becomes;
y = Asin((2πx)/λ ± 2πft)
(a) Comparing Ey= (20 V/m)sin((6.28x10⁸)x -2πft) with the general equation
(2πx)/λ = 6.28 × 10⁸
λ = 2π / 6.28 × 10⁸
λ = 1.0 × 10⁻⁸ m
λ = 10 × 10⁻⁹ m
λ = 10 nm
(b) Comparing Ey= (20 V/m)sin((6.28x10⁸)x -2πft) with the general equation
2πft = 2πft
f = 1 Hz
(c) Comparing Ey= (20 V/m)sin((6.28x10⁸)x -2πft) with the general equation
A = 20 V/m
