c)
A scientist is investigating the interference of light using very thin transparent material.
A sample of the transparent material is placed in a vacuum.
Fig. 16.2 shows the path of two identical rays of light L and M from a laser.
Fig. 16.2
The refractive index of the material is 1.20. The thickness of the material is 1.5 × 10–6 m.
The wavelength of the light in vacuum is 6.0 × 10–7 m.
i)
Show that the difference in time t for the two rays to travel between the dashed lines X and Y is 1.0 × 10–15 s.
t = ....................................... s  [3]
ii)
Calculate the period T of the light wave.
T = ...................................... s  [2]
iii)
The rays of light are in phase at the dashed line X.
Use your two answers above to state the phase difference φ in degrees between the light rays at Y.
φ = ........................................ ° [1]