Answer:
a) W = 3.87 10⁻⁴ J
, b) P = 3.10 10⁻³ Pa
, c) λ = 671. 6 nm
, d) frequency does not change
, e) Emax = 1.39 C / m and f) Bmax = 4.7 10⁻⁹ T
Explanation:
a) Let's use the concepts of power that is work for the unit of time and work is the change of kinetic energy
P = W / t
An electromagnetic wave has an intensity
I = P / A =
W = P t
W = 258 10⁻³ 1.5 10⁻³
W = 3.87 10⁻⁴ W s
W = 3.87 10⁻⁴ J
b) the radiation pressure is given by the ratio
P = I / c
Where I is the intensity
I = Powers / A
A = π r² = π (d/2)²
I = 258 10⁻³ / π (297.5 10⁻⁶)²
I = 9.29 10 5 W / m²
P = 9.29 10⁵/3 10⁸
P = 3.10 10⁻³ Pa
c) The wavelength when passing a measured of different refractive index changes in the way
λ = λ₀ / n
λ = 900 10⁻⁹ / 1.34
λ = 671.6 10⁻⁹ m
λ = 671. 6 nm
d) when the light strikes a medium creates a forced oscillation in the electrons of the medium, this is a resonance phenomenon, so the frequency does not change
e) The maximum electric field is
I = Emax2 / 2 μ₀ c
Emax = Ra (2 μ₀ c I)
Emax = Ra (2 4 π 10⁻⁷ 3 10⁸ 258 10⁻³)
Emax = 1.39 C / m
f) the elective and magnetic fields are related
c = Emax Bmax
Bmax = Emax / c
Bmax = 1.39 / 3 10⁸
Bmax = 4.7 10⁻⁹ T
