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If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the radius of third Bohr orbit of Li2+ ion?
  • a)
    15.87 pm
  • b)
    1.587 pm
  • c)
    158.7 A
  • d)
    158.7 pm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the...
To find the radius of the third Bohr orbit of the Li2+ ion, we can use the formula for the radius of the nth Bohr orbit:

r = n^2 * r₁

where r is the radius of the nth orbit, n is the principal quantum number of the orbit, and r₁ is the radius of the first Bohr orbit.

Given that the radius of the second Bohr orbit of the He+ ion is 105.8 pm, we can find the radius of the first Bohr orbit using the same formula by substituting n = 2:

105.8 pm = 2^2 * r₁
105.8 pm = 4 * r₁
r₁ = 105.8 pm / 4
r₁ = 26.45 pm

Now, we can find the radius of the third Bohr orbit of the Li2+ ion using the same formula by substituting n = 3 and r₁ = 26.45 pm:

r = 3^2 * 26.45 pm
r = 9 * 26.45 pm
r = 238.05 pm

Converting the radius to the required units:

1 pm = 10^-12 m
238.05 pm = 238.05 * 10^-12 m = 2.3805 * 10^-10 m = 2.3805 Å

Therefore, the radius of the third Bohr orbit of the Li2+ ion is 2.3805 Å, which is equivalent to 238.05 pm.

Hence, the correct answer is option D) 158.7 pm.
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Community Answer
If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the...
Acc. to Bohr's atomic model
r ∝ n2/z 3rd orbit of Li+2  n1 = 3
z1 = 3
⇒ 2nd orbit of He+  n2 = 2
Z2 = 2
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If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the radius of third Bohr orbit of Li2+ ion?a)15.87 pmb)1.587 pmc)158.7 Ad)158.7 pmCorrect answer is option 'D'. Can you explain this answer?
Question Description
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