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Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?
(1) 1 : 8 (2) 8:1
(3) 1 : 27 (4) 27:1?
(1) 1 : 8 (2) 8:1
(3) 1 : 27 (4) 27:1?
Most Upvoted Answer
Q)Two electrons in an atom are moving in orbits of radii R and 9R resp...
Solution:
The frequency of revolution is given as
f = (1/2π) √(k/m)
where k is the Coulomb's constant and m is the mass of the electron.
Let the frequency of the electron moving in the orbit of radius R be f1 and that of the electron moving in the orbit of radius 9R be f2.
So, we have
f1 = (1/2π) √(k/me) and f2 = (1/2π) √(k/me)
where me is the mass of the electron.
Dividing the above two equations, we get
f1/f2 = √(me/me) × √(9R/R)
f1/f2 = 1/3 × 3
f1/f2 = 1/9
Therefore, the ratio of frequencies of the two electrons is 1:9 or 1/9. Hence, the correct option is (4) 27:1.
Answer: (4) 27:1
The frequency of revolution is given as
f = (1/2π) √(k/m)
where k is the Coulomb's constant and m is the mass of the electron.
Let the frequency of the electron moving in the orbit of radius R be f1 and that of the electron moving in the orbit of radius 9R be f2.
So, we have
f1 = (1/2π) √(k/me) and f2 = (1/2π) √(k/me)
where me is the mass of the electron.
Dividing the above two equations, we get
f1/f2 = √(me/me) × √(9R/R)
f1/f2 = 1/3 × 3
f1/f2 = 1/9
Therefore, the ratio of frequencies of the two electrons is 1:9 or 1/9. Hence, the correct option is (4) 27:1.
Answer: (4) 27:1
Community Answer
Q)Two electrons in an atom are moving in orbits of radii R and 9R resp...
27:1
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Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1?
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Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1?.
Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q)Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be?(1) 1 : 8 (2) 8:1(3) 1 : 27 (4) 27:1?.
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