The potential barrier is defined by V(x) ((A 2 (x 2) (b 2)) 0 5where ...

The potential barrier is defined by V(x) = ((A^2-(x^2)*(b^2))^0.5Â Â where x is less than or equal to A/b. First...

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Physics

The potential barrier is defined by V(x) =((A^2-(x^2)*(b^2))^0.5Â Â where x is less than or equal toA/b.
First we want to sketch V(x)
Then we run a particle into it wth mass m and energy E (which isless than A). Now that we have run the particle into it we areasked to derive an expression for the probability of penetration interms of D = E/A and sin (y) = bx/A.
Finally, we are to evaluate our expression in numerically forD=0.1 to 1.0 in steps of 0.1 for an electron stricking such abarrier with A=10 eV and b=2eV/angstrom.

Help!! I have no idea how to start this monster. How do I sketchthis??

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3.9 Ratings (439 Votes)

First the graph of barrier energy is below at the bottomSecond the tranmission coefficient for a particle of mass m andenergy E through a barrier Vx is found See Answer

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