Question

11. Calculate the Zero-point energy for a particle in an infinite potential well for an electron confined to a 1 nm atom
a) 3.9 X 102j
b) 4.9 X 10j
c) 5.9 X 10-2j
d) 6.9 X 10-29j​

Answer 1

Answer:

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Answer 2

The question is to calculate the zero-point energy for a particle in an infinite potential well for an electron confined to a 1nm atom

Here, m = $9.1 X 10^{-31}$ kg,

L = $10^{-9}$m.

Therefore, E = $\frac{\pi ^{2}h^{2} }{2mL^{2} }$

=  $\frac{3.14 X 3.14 X 1.05 X 1.05 X 10^-68}{2 X 9.1 X 10^-31 X 10^-9}$

= $5.9X10^{-29} j$

Correct choice is (c)$5.9 X 10^{-29} J$

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