Final answer:
The amplitude of the magnetic field in an electromagnetic wave can be found using the amplitude of the electric field and speed of light. The wavelength is related to the wave number, and frequency can be determined using the angular frequency.
Step-by-step explanation:
The student's question asks for several properties of an electromagnetic wave described by an equation for the electric field component. Given the equation Ey = 120 sin(1.40 × 107x − ωt), where electric field amplitude (Ey) is in volts per meter, x is the position in meters, and t is time in seconds, we can extract the necessary information regarding the amplitude of the magnetic field, wavelength and frequency of the wave.
(a) Amplitude of the Magnetic Field Oscillations
The amplitude of the electric field (E) and magnetic field (B) in an electromagnetic wave are related by the constant c (the speed of light in vacuum), such that B=E/c. Given the amplitude of the electric field is 120 V/m and using c = 3 × 108 m/s, the amplitude of the magnetic field would be 120 V/m divided by the speed of light.
(b) Wavelength λ
The wave number k is related to the wavelength λ by k = 2π/λ. Given k = 1.40 × 107 rad/m, we can find λ by rearranging the formula to λ = 2π/k.
(c) Frequency f
Since ω = 2πf, where ω is the angular frequency in radians per second, the frequency f can be found by dividing ω by 2π.
Note: Since the question does not provide a specific angular frequency value ω, the general method to find the frequency has been described above, but the numerical answer cannot be calculated without the value for ω.