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The work function of a metal plate is 3.97x10⁻¹⁹ Joules. What is the threshold frequency of the plate?

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00:00Hi friends, study hard, because nothing you do is wasted.
00:07A metal has a specific work function.
00:12Now, we're asked to calculate the threshold frequency of that metal.
00:19Of course, the work function and Planck's constant are listed on the worksheet.
00:27Before we go any further, write down some of the values listed on the worksheet.
00:34The units for each quantity are in the international system of units.
00:38Just leave them as they are.
00:43As a refresher, this is a metal plate.
00:49On the surface of this metal there are several electrons.
00:54Light is composed of several rays of light at various frequencies.
01:00However, not all frequencies can be absorbed by electrons or cause electrons to be excited from the metal surface.
01:09After electrons are excited, they may remain stationary on the metal surface, or they may move at a certain speed.
01:19The frequency that causes electrons to be excited exactly to a relative standstill is the threshold frequency.
01:29If we look more closely, why are electrons in the electron cloud?
01:35The electron is bound to the atomic nucleus.
01:40The binding force between the electron and the atomic nucleus is equal to the work function, Φ.
01:47The photon energy is Hf.
01:52So Φ is equal to Hf.
01:56To differentiate, we can add a subscript 0 to F to identify the threshold frequency.
02:04We already know the values of the Planck constant and the work function.
02:10A little calculation reveals that F0 is equal to 6 times 10 to the power of 14 Hz.
02:17This is the threshold frequency of the metal.
02:21Happy learning, everyone!
02:22Happy learning, everyone!
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