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If r is the radius of the first orbit, the radius of nth orbit of H-atom is given by [1988]
- a)rn2
- b)rn
- c)r/n
- d)r2 n2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If r is the radius of the first orbit, the radius of nth orbit of H-at...
According to Bohr's Model:
r ∝n2/Z
So, radius of nth orbit is rn=rn2, as Z=1 for H atom.
r ∝n2/Z
So, radius of nth orbit is rn=rn2, as Z=1 for H atom.
Most Upvoted Answer
If r is the radius of the first orbit, the radius of nth orbit of H-at...
Explanation:
The radius of an electron in an H-atom in nth orbit is given by the Bohr's radius formula:
rn = n² r
Where,
rn = radius of nth orbit
r = radius of first orbit (Bohr's radius)
n = principal quantum number
To find the ratio of radius of nth orbit to that of first orbit, we divide the above equation by r:
rn/r = n²
Therefore, the radius of nth orbit is proportional to n² (square of principal quantum number).
Now, to find the radius of nth orbit in terms of r and n, we substitute the value of rn/r from above equation in the Bohr's radius formula:
rn = n² r
rn = r * (rn/r)²
rn = r * n²
Hence, the radius of nth orbit of H-atom is given by option 'A': rn².
The radius of an electron in an H-atom in nth orbit is given by the Bohr's radius formula:
rn = n² r
Where,
rn = radius of nth orbit
r = radius of first orbit (Bohr's radius)
n = principal quantum number
To find the ratio of radius of nth orbit to that of first orbit, we divide the above equation by r:
rn/r = n²
Therefore, the radius of nth orbit is proportional to n² (square of principal quantum number).
Now, to find the radius of nth orbit in terms of r and n, we substitute the value of rn/r from above equation in the Bohr's radius formula:
rn = n² r
rn = r * (rn/r)²
rn = r * n²
Hence, the radius of nth orbit of H-atom is given by option 'A': rn².
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Community Answer
If r is the radius of the first orbit, the radius of nth orbit of H-at...
Radius of nth orbit of hydrogen atom is r×n²
Radius of nth orbit of hydrogen like species is r ×n²/z
Here n is shell number
Z is atomic number
Radius of nth orbit of hydrogen like species is r ×n²/z
Here n is shell number
Z is atomic number
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If r is the radius of the first orbit, the radius of nth orbit of H-atom is given by [1988]a)rn2b)rnc)r/nd)r2 n2Correct answer is option 'A'. Can you explain this answer?
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