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Question:

Suppose an electron ejected from aluminum has a velocity of 8.70x10^5 m/sCalculate the wavelength.?

of the photon that ejected the electron(aluminum has a work function of 4.06eV)Where do I even start with this one? Can anyone help me jumpstart this problem please?

Answer:

Water has a very high specific heat capacity, meaning it takes a lot of heat transfer, to warm or cool it 1 degreeMeaning anything wet, takes longer to warm or cool and lags behind anything that is dry, maximum heat in the Northern Hemisphere is during late June, but because of the lag oceans reach max temperature in Sept, also why deserts are so hot in summer but cold in winter2Copper has superior heat conduction nothing to do with specific heat4spraying water on trees protects from frost because it slows the cooling5metal is also a good conductor and more efficient in transferring heat.
First let's find the kinetic energy (KE) of the electronIts velocity is low enough that we don't need to consider relativistic effects, so we can say its mass is close to its rest mass of 9.1 10-31 kilogramWe can find its KE by KE ?mv? and we know v is given as 8.70 105 meters per secSo KE ?(9.1 10-31)(8.70 105)? Do the arithmetic and get KE 3.44 10-19 jouleSince 1 J 6.28 1018 eV the KE of the electron (3.44 10-19 J)(6.28 1018 eV per J) 2.16 eV The photon's energy E must be at least the KE of the ejected electron plus the work function of aluminum, given as 4.06 eVSo E 2.16 + 4.06 6.22 eV E is related to the wavelength w by: E hc/w where h is Planck's constant, equal to 4.16 10-15 eV-secand c is the speed of light, 3.0 108 meters/sech and c are both constants, so hc is constant, 12.48 10-7 eV-metersSince E hc/w and we know E, we can say w hc/E (12.48 10-7)/6.22 The wavelength w 2.00 10-7 mor 200 nanometers (ultraviolet) Whew! I hope you understand this step by step procedure I used to find w.

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