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Ionisation energy of H-atom in the ground state is 25 times the ionisation energy when it is in nth state. What is value of n?
Correct answer is '5'. Can you explain this answer?
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Explanation:
Ionisation energy: The energy required to remove an electron completely from an atom or a positive ion is called the ionisation energy.
Let the ionisation energy of hydrogen when it is in the ground state be E1.
Let the ionisation energy of hydrogen when it is in the nth state be En.
We know that the energy of an electron in the nth state of hydrogen is given by
En = -13.6/n² eV
Therefore, the ionisation energy of hydrogen when it is in the nth state is given by
En = E1/n²
We are given that the ionisation energy of hydrogen when it is in the ground state is 25 times the ionisation energy when it is in the nth state.
Therefore,
E1 = 25 En
Substituting the value of En in terms of E1, we get
E1 = 25 E1/n²
n² = 25
n = 5
Therefore, the value of n is 5.
Answer: 5.
Ionisation energy: The energy required to remove an electron completely from an atom or a positive ion is called the ionisation energy.
Let the ionisation energy of hydrogen when it is in the ground state be E1.
Let the ionisation energy of hydrogen when it is in the nth state be En.
We know that the energy of an electron in the nth state of hydrogen is given by
En = -13.6/n² eV
Therefore, the ionisation energy of hydrogen when it is in the nth state is given by
En = E1/n²
We are given that the ionisation energy of hydrogen when it is in the ground state is 25 times the ionisation energy when it is in the nth state.
Therefore,
E1 = 25 En
Substituting the value of En in terms of E1, we get
E1 = 25 E1/n²
n² = 25
n = 5
Therefore, the value of n is 5.
Answer: 5.
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Ionisation energy of H-atom in the ground state is 25 times the ionisation energy when it is in nth state. What is value of n?Correct answer is '5'. Can you explain this answer?
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Ionisation energy of H-atom in the ground state is 25 times the ionisation energy when it is in nth state. What is value of n?Correct answer is '5'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ionisation energy of H-atom in the ground state is 25 times the ionisation energy when it is in nth state. What is value of n?Correct answer is '5'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ionisation energy of H-atom in the ground state is 25 times the ionisation energy when it is in nth state. What is value of n?Correct answer is '5'. Can you explain this answer?.
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