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The potential barrier is defined by V(x) = ((A^2-(x^2)*(b^2))^0.5  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))^0.5  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??

Answer & Explanation Solved by verified expert
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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