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The ratio of the difference is energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is a) 1/2 b) 1/3 c) 4/9 d) 27/5 option (d) is correct.Explain how it is?
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Explanation:
The energy of an electron in the nth orbit of a hydrogen atom is given by the formula:
E = -13.6/n^2 eV
Where n is the principal quantum number of the orbit.
Calculating the energy difference:
1. The energy difference between the first and second Bohr orbit can be calculated as:
ΔE1 = E2 - E1 = (-13.6/2^2) - (-13.6/1^2) = -3.4 + 13.6 = 10.2 eV
2. The energy difference between the second and third Bohr orbit can be calculated as:
ΔE2 = E3 - E2 = (-13.6/3^2) - (-13.6/2^2) = -1.51 + 3.4 = 1.89 eV
Calculating the ratio:
To find the ratio of the energy differences:
Ratio = ΔE1 / ΔE2
= 10.2 / 1.89
= 27 / 5
Therefore, the ratio of the difference in energy between the first and second Bohr orbit to that between the second and third Bohr orbit is 27/5, which corresponds to option (d).
The energy of an electron in the nth orbit of a hydrogen atom is given by the formula:
E = -13.6/n^2 eV
Where n is the principal quantum number of the orbit.
Calculating the energy difference:
1. The energy difference between the first and second Bohr orbit can be calculated as:
ΔE1 = E2 - E1 = (-13.6/2^2) - (-13.6/1^2) = -3.4 + 13.6 = 10.2 eV
2. The energy difference between the second and third Bohr orbit can be calculated as:
ΔE2 = E3 - E2 = (-13.6/3^2) - (-13.6/2^2) = -1.51 + 3.4 = 1.89 eV
Calculating the ratio:
To find the ratio of the energy differences:
Ratio = ΔE1 / ΔE2
= 10.2 / 1.89
= 27 / 5
Therefore, the ratio of the difference in energy between the first and second Bohr orbit to that between the second and third Bohr orbit is 27/5, which corresponds to option (d).
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The ratio of the difference is energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is a) 1/2 b) 1/3 c) 4/9 d) 27/5 option (d) is correct.Explain how it is?
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The ratio of the difference is energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is a) 1/2 b) 1/3 c) 4/9 d) 27/5 option (d) is correct.Explain how it is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The ratio of the difference is energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is a) 1/2 b) 1/3 c) 4/9 d) 27/5 option (d) is correct.Explain how it is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the difference is energy between the first and second Bohr orbit to that between the second and the third Bohr orbit is a) 1/2 b) 1/3 c) 4/9 d) 27/5 option (d) is correct.Explain how it is?.
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