I think everything looks good but 2 might not be right, it might be B
so the monster passige may be confusing so just do auto books
Answer:
The tunnel probability for 0.5 nm and 1.00 nm are
and
respectively.
Explanation:
Given that,
Energy E = 2 eV
Barrier V₀= 5.0 eV
Width = 1.00 nm
We need to calculate the value of 
Using formula of 

Put the value into the formula


(a). We need to calculate the tunnel probability for width 0.5 nm
Using formula of tunnel barrier

Put the value into the formula


(b). We need to calculate the tunnel probability for width 1.00 nm


Hence, The tunnel probability for 0.5 nm and 1.00 nm are
and
respectively.
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Hope this helps.