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Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

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Ten questions. The result tells you which lessons you may skip.

1

A ray in air is partly reflected from the surface of a glass plate. The reflected wave

2

A coating of \(\mu = 1.38\) lies on glass of \(\mu = 1.5\). Of its two reflections, a phase of \(\pi\) is gained by

3

Light of \(600\,\text{nm}\) falls normally on a film of \(\mu = 1.5\) in air. The least thickness for which it looks bright in reflected light is

4

A film of \(\mu = 1.5\) and thickness \(400\,\text{nm}\) in air is lit normally by white light. The visible wavelength it reflects most strongly is

5

An anti-reflection coating of \(\mu = 1.25\) on glass of \(1.5\) is to cancel \(550\,\text{nm}\) at normal incidence. Its least thickness is

6

A lens of \(R = 1.6\,\text{m}\) on a flat plate is lit normally by \(500\,\text{nm}\) light. The radius of the fifth dark ring is

7

With \(R = 1.6\,\text{m}\), the fifth and twentieth dark rings have diameters \(4\,\text{mm}\) and \(8\,\text{mm}\). The wavelength is

8

In Lloyd's mirror, the fringe where the mirror meets the screen, at equal paths from the slit and its image, is

9

A biprism of \(\mu = 1.5\) and refracting angle \(0.01\,\text{rad}\) is \(10\,\text{cm}\) from the slit. Its virtual sources are apart by

10

A beam falls on a double slit at \(2 \times 10^{-3}\,\text{rad}\) to the axis, heading upward, with the screen \(1\,\text{m}\) away. The central fringe moves