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Solution_Problem_of_the_Week_8

Solution_Problem_of_the_Week_8 - Solution Problem of...

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Unformatted text preview: Solution Problem of the Week 8 Below is a potential energy curve for the interaction of two neutral atoms. The two ­ atom system is in a quantum state marked by the heavy solid horizontal line. The horizontal axis represents the separation r between the two atoms. 0 eV –0.2 eV –0.4 eV –0.6 eV –0.8 eV –1.0 eV –1.2 eV –1.4 eV –1.6 eV r1 r (a) At r = r1, what are the approximate values of the kinetic energy K, the potential energy U, and the sum K + U? E = !0.2 eV , U (r1 ) = !1.3 eV , K (r1 ) = E ! U (r1 ) = !0.2 ! (!1.3) = 1.1eV (b) What minimum energy must a photon have so that absorbing the photon will cause the two atoms in this state to separate? The minimum photon energy required to cause the two atoms to split is 0.2 eV. (c) When r is large, this potential energy can be expressed approximately as a U = ! 6 . For large r, what is the magnitude of the force the two atoms exert on r each other? ! dU a F=! = 6 7 dr r ...
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