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The ratio of the difference in energy be...

The ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit is

A

`1/2`

B

`1/3`

C

`4/9`

D

`27/5`

Text Solution

Verified by Experts

`E_(1)-E_(2)=1312/(l^(2))=1312/(2^(2))=1312(3/4)`
`E_(2)-E_(3)=1312/(2^(2))=1312/(3^(2))=1312(5/36)`
`therefore(E_(1)-E_(2)):(E_(2)-E_(3))=3/4:5/36=27:5`
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Knowledge Check

  • Calculate the ratio of the difference in energy between the first and the second Bohr orbit to that between the second and the third Bohr orbit?

    A
    `1/2`
    B
    `1/3`
    C
    `4/9`
    D
    `(27)/(5)`

  • The ratio of the difference in energy between the first and second Bohr orbits to that between the second and third Bohr orbit is

    A
    `1//2`
    B
    `1//3`
    C
    `4//9`
    D
    `27//5`

  • The ratio of the difference between the first and second Bohr orbit energies to that between second and third Bohr orbit energies is :-

    A
    `1/2`
    B
    `1/3`
    C
    `(27)/(5)`
    D
    `(5)/(27)`

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