Find the relative frequency shift ∆f/f for light emitted at the surface of the sun (radius 6.96 x 105 km, mass 1.99 x1030 kg) if the light is received at (a) the planet Mercury and (b) Earth.

Betelgeuse, a red-giant star in the constellation Orion, has a peak in its radiation at a frequency of 3.09 X 10^14 Hz. What is the surface temperature of Betelgeuse?

2. An electromagnetic wave hits a student (in air) who measures a maximum electric field of E = (6.00 -10ʻV/m)( – 2ŷ – 2)/ /6 and finds that the magnetic field is in the &+ ŷ – 2 direction. The light has a wavelength of 700 nm. (a) Find the two possible propagation vectors? K 27 Sk = 6.9 x105 m 700y1097 or ho here V. (b) Find the angular frequency? untime (c) Find the amplitude of the magnetic field? (6x10"Vm) here too (d) Write down two different possible arguments of the wave phase factor [x is the argument of f(x)].

If the intensity of sunlight at the Earth's surface under a fairly clear sky is 1 289 W/m2, how much electromagnetic energy per cubic meter is contained in sunlight? µJ/m3

At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by = -8.88 x 10-³ V/m and B = -2.96 x 10-11 T. Find the Poynting vector for this wave. (Express your answer in vector form. W/m² S =

A planar electromagnetic wave is propagating in the -x direction. At a certain point P and at a given instant, the electric field of the wave is given by E = (1.27 V/m) ĵ. What is the magnitude and direction of the magnetic field vector of the wave (in nT) at the point P at that instant? Denote the +z direction as positive, and the -z direction as negative. (Use c = 2.9979 × 108 m/s) nT

An anstonomer on a planet orbiting the star Deneb wants to differentiate the reflected light by Earth from the light of the Sun. First, consider the area of Earths disk which reflects the Sun's intercepted light. Second, consider the surface area of a sphere with the same radius as Earths orbit around the Sun. Take the ratio of these two areas. Assume the Earths radius is 6400.0 km and is 1.3 x108 km from the Sun.

The electric component of a beam of polarized light is Ey=(5.21 V/m) sin((1.08 x 106 m ¹)z + wt]. (a) Write an expression for the magnetic field component of the wave, including a value for w. What are the (b) wavelength, (c) period, and (d) intensity of this light? (e) Parallel to which axis does the magnetic field oscillate? (f) In which region of the electromagnetic spectrum is this wave? (a) B=(i i (b) Number i (c) Number i )t] ✓) sin[(i si Units Units ×106 ✓ )2 + (

Consider a plane electromagnetic wave travelling in free space. The magnetic field is given by B = B₁ (x − 2) and electric field is given by E = E₁ (− x + 2 y − 2) . Then the direction of the propaga- tion of the wave is (a) -x-y-2 (b) x + 2y - 22 (c) 2x + y + 22 (d) None of these

The electric field of an electromagnetic plane wave traveling in a vaccum is described by  E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.