3. + 1 points SerPSE9 42·P.027 The radial function R(r) of the wave function for

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3. + 1 points SerPSE9 42·P.027 The radial function R(r) of the wave function for a hydrogen atom in the 2 state is 23 (2a 30 V 3 (2a0)3/2230 What is the most likely distance from the nucleus to find an electron in the 2p state? (Use any variable or symbol stated above as necessary.) Need Help? Read It Need Help?Read It 4. + 2 points SerPSE9 42 P.051 A bismuth target is struck by electrons, and x-rays are emitted (a) Estimate the M-to L-shell transitional energy for bismuth. keV (b) Estimate the wavelength of the x-ray emitted when an electron falls from the M shell to the L shel Need Help?Read It 5. 11 points SerPSE9 42.P055.MI. Consider the following equation, where Zeff is the number of electrons which shield the nuclear charge (13.6 eV) z 6, =- eff n2 Use the equation above to calculate the wavelength of the x-ray emitted from a cadmium target (Z = 48) when an electron moves from the L shell (n 2) to the K shell (n = 1) nm Need Help?ReaMaster Master It

Explanation / Answer

the formula for energy is

En = - ( 13.6 eV) Z eff^2/ n^2

     = -13.6 eV ( 48)^2 ( 1/1^2 - 1/ 2^2

   =23500.8 3 eV ( 1.6 * 10 ^-19 J/ eV)

=37601.28 * 10 ^-19 J

wavelegnth of the X ray emitted from cadmium target is

L = hc/ E = ( 6.62606957 × 10-34 Js ) ( 3 * 10 ^8 m/s)/37601.28 * 10 ^-19 J

              =0.05286 nm

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