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Question

Calculate the energy associated with the first orbit of He. What is the radius of orbit?


A
0.3026 nm
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B
0.20645 nm
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C
0.02645 nm
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D
0.03026 nm
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Solution

The correct option is C 0.02645 nm

Sol. En = (2.18 × 1018J)Z2n2atom1

For He, n = 1, Z = 2

E1 = (2.18 × 1018 J)(22)12

= 8.72 × 1018 J

The radius of the orbit is given:

rn = (0.0529 nm)n2Z

Since n = 1, and Z = 2

rn = (0.0529) × 122

= 0.02645 nm


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