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The threshold wavelength of photoelectricity in a metal is 2000 Å. The kinetic energy of photoelectrons when the metal surface is exposed to a wavelength of 1400 Å in electron volts is...

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00:00Hey guys, stop complaining and start learning to achieve your dreams.
00:07We know that every metal has a specific work function.
00:13When the surface receives energy exceeding the work function, what happens to the photoelectrons?
00:21In this problem, we look at two wavelengths.
00:25The threshold wavelength and the test wavelength.
00:28In addition, there is Planck's constant and the speed of light in a vacuum.
00:35We will use these quantities to determine the kinetic energy of the photoelectrons.
00:42Let's discuss them.
00:44Before we go any further, first write down some of the physical quantities shown on the problem sheet.
00:52Just to refresh your understanding, this is a metal surface.
00:58On that surface, there are several free electrons.
01:04When these electrons receive energy at the threshold wavelength, they will appear on the metal surface, not moving anywhere.
01:11A stationary object has kinetic energy of zero.
01:18That's why this wavelength is known as the threshold wavelength.
01:21However, when the wavelength is shorter than the threshold wavelength, the photoelectrons still have excess energy.
01:31This energy manifests as kinetic energy.
01:39This energy causes the photoelectrons to move at a constant speed away from the metal surface.
01:47Mathematically, kinetic energy is equal to Hc over lambda, minus Hc over lambda Th.
01:53The units of energy in this equation are jowls.
02:01Since the units of wavelength are angstroms, it's helpful to use electron volts.
02:11This equation can be written as follows.
02:13Lambda and lambda Th are already written on the problem sheet.
02:22If the numbers look like this, we can use a scientific calculator.
02:27The kinetic energy is approximately 2.66 electron volts.
02:32This is the kinetic energy of the electron.
02:36Happy learning, everyone!
02:38Happy learning, everyone!
02:39Happy learning, everyone!
02:40Happy learning, everyone!
02:41Happy learning, everyone!
02:42Happy learning, everyone!
02:43Happy learning, everyone!
02:44Happy learning, everyone!
02:45Happy learning, everyone!
02:46Happy learning, everyone!
02:47Happy learning, everyone!
02:48Happy learning, everyone!
02:49Happy learning, everyone!
02:50Happy learning, everyone!
02:51Happy learning, everyone!
02:52Happy learning, everyone!
02:53Happy learning, everyone!
02:54Happy learning, everyone!
02:55Happy learning, everyone!
02:56Happy learning, everyone!
02:57Happy learning, everyone!
02:58Happy learning, everyone!
02:59Happy learning, everyone!
03:00Happy learning, everyone!
03:01Happy learning, everyone!
03:02Happy learning, everyone!
03:03Happy learning, everyone!
03:04Happy learning, everyone!
03:05Happy learning, everyone!
03:06Happy learning, everyone!
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