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Given that the radius of the first Bohr orbit of hydrogen atom is 53 pm, the radius of its third Bohr orbit is __________ pm. (Round off to the nearest integer)
Correct answer is between '477,477'. Can you explain this answer?
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Given that the radius of the first Bohr orbit of hydrogen atom is 53 p...
Calculation of the radius of the third Bohr orbit of hydrogen atom
The radius of the nth Bohr orbit of a hydrogen atom is given by the formula:
r_n = n^2 × r_1
where r_1 is the radius of the first Bohr orbit and n is the principal quantum number of the orbit.
Given that the radius of the first Bohr orbit of a hydrogen atom is 53 pm, we can calculate the radius of the third Bohr orbit as follows:
r_3 = 3^2 × 53 pm
r_3 = 9 × 53 pm
r_3 = 477 pm (rounded off to the nearest integer)
Therefore, the radius of the third Bohr orbit of a hydrogen atom is 477 pm.
The radius of the nth Bohr orbit of a hydrogen atom is given by the formula:
r_n = n^2 × r_1
where r_1 is the radius of the first Bohr orbit and n is the principal quantum number of the orbit.
Given that the radius of the first Bohr orbit of a hydrogen atom is 53 pm, we can calculate the radius of the third Bohr orbit as follows:
r_3 = 3^2 × 53 pm
r_3 = 9 × 53 pm
r_3 = 477 pm (rounded off to the nearest integer)
Therefore, the radius of the third Bohr orbit of a hydrogen atom is 477 pm.
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Given that the radius of the first Bohr orbit of hydrogen atom is 53 pm, the radius of its third Bohr orbit is __________ pm. (Round off to the nearest integer)Correct answer is between '477,477'. Can you explain this answer?
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