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MDCAT
Physics
2023

Physics · Atomic Spectra

Work through this past-paper style MCQ, then read the full explanation. Practice more physics questions on mMCQ with adaptive practice and topic analytics.

Question

The radius of third bohr orbit is:

Options
  • A

    0.529 * 3^2 Å

  • B

    0.529 * 2^2 Å

  • C

    0.529 * 4^2 Å

  • D

    0.529 Å

Explanation

This is the correct answer. According to Bohr's model, the radius of an electron's orbit in a hydrogen atom is given by:

rn = n^2 * a0

where:

rn is the radius of the nth orbit

n is the principal quantum number (1, 2, 3, ...)

a0 is the Bohr radius (5.29 * 10^-11 m or 0.529 Å)

For the third Bohr orbit (n = 3):

r3 = 3^2 * 0.529 Å = 9 * 0.529 Å = 4.761 Å

Therefore, the radius of the third Bohr orbit is 0.529 * 3^2 Å.

This is the correct answer. According to Bohr's model, the radius of an electron's orbit in a hydrogen atom is given by:

rn = n^2 * a0

where:

rn is the radius of the nth orbit

n is the principal quantum number (1, 2, 3, ...)

a0 is the Bohr radius (5.29 * 10^-11 m or 0.529 Å)

For the third Bohr orbit (n = 3):

r3 = 3^2 * 0.529 Å = 9 * 0.529 Å = 4.761 Å

Therefore, the radius of the third Bohr orbit is 0.529 * 3^2 Å.

This is incorrect. This expression would give the radius of the second Bohr orbit.

This is incorrect. This expression would give the radius of the fourth Bohr orbit.

This is incorrect. This is the value of the Bohr radius, which represents the radius of the first Bohr orbit.

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Tagged under Physics · Atomic Spectra · 2023