The magnetic component of a polarized wave of light is Bx=(4.0 ×10^-6 T) sin[(1.57 ×10^7 m^-1)

step 1 In this question, we are given the magnetic components of a polarized BN wave. So we have BX equ

The magnetic component of a polarized wave of light is...

The magnetic component of a polarized wave of light is $$B_{x}=\left(4.0 \times 10^{-6} \mathrm{~T}\right) \sin \left[\left(1.57 \times 10^{7} \mathrm{~m}^{-1}\right) y+\omega t\right]$$ (a) Parallel to which axis is the light polarized? What are the (b) frequency and (c) intensity of the light?

The magnetic component of a polarized wave of light is
$$B_{x}=\left(4.0 \times 10^{-6} \mathrm{~T}\right) \sin \left[\left(1.57 \times 10^{7} \mathrm{~m}^{-1}\right) y+\omega t\right]$$
(a) Parallel to which axis is the light polarized? What are the
(b) frequency and (c) intensity of the light?

Key Concepts

Wave Propagation and Frequency

The frequency of an electromagnetic wave is the number of oscillations per unit time and is directly related to its angular frequency (?) and wave number (k) through the dispersion relation ? = ck, where c is the speed of light. Understanding this relationship is key to determining wave properties from its mathematical description.

Intensity of Electromagnetic Waves

The intensity of an electromagnetic wave represents the power delivered per unit area and can be computed using the amplitude of the oscillating fields. It is commonly expressed in terms of the electric field as I = (1/2)c??E² or, equivalently, using the magnetic field after applying the relation between E and B. This concept connects the field strengths with the measurable energy transmission of the wave.

Polarization in Electromagnetic Waves

Polarization describes the orientation of the oscillations in the electric (or magnetic) field of an electromagnetic wave. In an electromagnetic wave, the electric and magnetic fields oscillate perpendicular to each other and to the direction of propagation, and the specific direction in which these fields oscillate defines the wave's polarization.

Relationship Between Electric and Magnetic Fields

Maxwell's equations dictate that in a propagating electromagnetic wave, the electric and magnetic fields are intrinsically linked, with their magnitudes related by the speed of light (E = cB in vacuum). This relationship is crucial when analyzing or calculating the properties of the wave, including its intensity and propagation characteristics.

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