Figure 1 Figure 1 shows a type of apparatus for investigating the speed distribu
ID: 1704939 • Letter: F
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Figure 1
Figure 1 shows a type of apparatus for investigating the speed distribution f (v) of molecules in a gas. Molecules emerge into a vacuum chamber from an oven held at a constant temperature T, and are collimated by slits into a parallel beam directed towards a pair of discs rotating at a common angular speed , which may be varied. The discs are a fixed distance L apart (L = 262 mm) and contain narrow notches, with the second notch offset from the first by a fixed angle = 30° as shown. If a molecule passes the first notch and is moving at the correct speed v, it will pass through the second notch to be collected at the detector, which records the rate of arrival of molecules.
Show that a molecule that passes the first notch will reach the detector if its
speed is v = L/.
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