IB Physics HL C.3 Wave phenomena questions

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Question 1

Paper 2Hard10 marks

In a laboratory, a laser illuminates both slits of a double-slit plate at normal incidence. The separation of adjacent bright fringes is measured on a screen parallel to the plate. A reference laser has wavelength 600 nm600\ \mathrm{nm} With the original plate and a screen distance of 1.20 m1.20\ \mathrm{m} the measured fringe separation is 3.00 mm3.00\ \mathrm{mm}

(a)

Show that the slit separation of the original plate is approximately 0.240 mm0.240\ \mathrm{mm}

[2]
(b)

The screen is moved to a distance of 1.80 m1.80\ \mathrm{m} with the original plate and reference laser unchanged. Determine the fringe separation.

[1]
(c)

A replacement plate is used with the reference laser and the screen at 1.80 m1.80\ \mathrm{m} The measured fringe separation is 3.00 mm3.00\ \mathrm{mm} Determine the slit separation of the replacement plate.

[1]
(d)

The replacement plate is used with an unknown laser wavelength. The screen is at 1.20 m1.20\ \mathrm{m} and the fringe separation is 2.40 mm2.40\ \mathrm{mm} Determine the wavelength of this laser.

[2]
(e)

In a further run, an unknown laser gives a fringe separation of 3.00 mm3.00\ \mathrm{mm} with the screen at 1.20 m1.20\ \mathrm{m} but the identity of the slit plate used was not recorded. A technician claims that the laser wavelength is the same as that of the reference laser. Determine whether this claim is justified, supporting your answer quantitatively.

[4]

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