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Difference between n^(th) and (n+1)^(th)...

Difference between `n^(th)` and `(n+1)^(th)` Bohr's radius of H atom is equal to it's `(n-1)^(th)` Bohr's radius. The value of n is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`r_(n)prop n^(2)`
But `r_(n)+1-r_(n)=r_(n)-1`
`(n+1)^(2)-n^(2)=(n-1)^(2)`
`n=4`
Hence d is the correct answer.
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FIITJEE-ATOMIC STRUCTURE-SOLVED PROBLEMS (OBJECTIVE)
  1. Which of the following set of quantum number is are not permitted ?

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  2. Which of the following pairs of ions have the same electronic configur...

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  3. If an electron in H atom has energy of -76.4 kcal "mol"^(-1) .The o...

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  4. What transition in the hydrogen spectrum would have the same wavelen...

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  5. The energy of second Bohr orbit of the hydrogen atom is - 328 k J mol^...

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  6. Principal azimuthal , and magnetic quantum numbers are respetively r...

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  7. If the radius of the second Bohr of hydrogen atom is r(2) the radius ...

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  8. Difference between n^(th) and (n+1)^(th) Bohr's radius of H atom is eq...

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  9. The dissociation energy of H(2) is 430.53 kJ mol^(-1), If H(2) is of d...

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  10. Number of waves in third Bohr's orbit of hydrogen will be

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  11. In hydrogen atom are excited in the fifth level .The number of line ...

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  12. If a(0) represents the bOhr radius, the de Broglie wavelength of the e...

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  13. Let of waveldnth lamda shines on a metal surface with intensity x and ...

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  14. Ground state electronic configuration of nitrogen atom can be represen...

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  15. Which of the following statements/s is/are wrong?

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  16. For the energy levels in an atom , which of the following statement ...

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  17. Which of the following statement (s) is (are) correct?

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  18. Many elements have non -integral atomic masses because

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  19. Which of the following statements are correct?

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  20. The magnitude of spin angular momentum of an electron is given by

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