The radius of the innermost orbit of a hydrogen atom is 5.3 × 10^-11 m . What is the radius of the third allowed orbit of the hydrogen atom? - Physics MCQ NEET 2023 2026 | ExamTest.live

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The radius of the innermost orbit of a hydrogen atom is 5.3 \times 1 0^{- 11} m . What is the radius of the third allowed orbit of the hydrogen atom?

Solution & Step-by-step Explanation

According to Bohr's model, the radius r_{n} of the n^{t h} orbit is: r_{n} = n^{2} r_{1} Given r_{1} = 5.3 \times 1 0^{- 11} m = 0.53 \overset{˚}{A} .For the third orbit (n = 3): r_{3} = (3)^{2} \times 0.53 = 9 \times 0.53 = 4.77 \overset{˚}{A}

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The radius of the innermost orbit of a hydrogen atom is 5.3 \times 1 0^{- 11} m . What is the radius of the third allowed orbit of the hydrogen atom?

0.53 \overset{˚}{A}

1.06 \overset{˚}{A}

1.59 \overset{˚}{A}

4.77 \overset{˚}{A}

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