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Problem 2 Part A Maxwell's equations can be used to show that electromagnetic waves can propagate through space. (a) Describe the key aspects of an electromagnetic wave. Your description should mention the electric and magnetic fields, direction of propagation, and speed. A diagram would be useful in explaining these concepts (b) At some point in space, a sinusoidal electromagnetic wave has an intensity of 2.5 Wm-2 Calculate the amplitudes of the electric field and the magnetic field at this point. Ensure that you include units (c) An unpolarised beam of light, travelling horizontally, with an intensity of in 2.5 Wm2 is passed, sequentially, through two polarisers as shown in the figure. The transmission axis of the first polariser is vertical. The transmission axis of the second polariser is at an angle θ to the first. The transmitted intensity after the second polariser is measured to be lout-0.85 Wm-2. What is the angle θ between the polarisers? in Part B (Advanced) A double slit interference pattern is observed on a screen 1.0 m behind the slit. The separation of the slits is 0.25 mm, and the width of each slit is much smaller than the separation. The slit is simultaneously illuminated with two laser light sources a green laser with wavelength 532 nm and a blue laser with wavelength 355 nm. Describe the pattern observed on the screen. Are there any points where light from only one of the two lasers is observed? If so, calculate the position(s). If not, explain why not.

Answer 1

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