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Ratio of longest wave lengths correspond...

Ratio of longest wave lengths corresponding to Lyman and Balmer series in hydrogen spectrum is

A

`3/23`

B

`7/29`

C

`9/31`

D

`5/27`

Text Solution

Verified by Experts

The correct Answer is:
D
For Lyman series
`1/lambda_(L)=R[1-1/2^(2)]=(3R)/4`
For Balmer series
`1/lambda_(B)=R[1/4-1/9]=(5R)/36`
`implies lambda_(L)/lambda_(B)=(4/(3R))/(36/(5R))=4/36 (5/3)=5/27`
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Knowledge Check

  • Ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is

    A
    `(5)/(27)`
    B
    `(3)/(23)`
    C
    `(7)/(29)`
    D
    `(9)/(31)`

  • The ratio of the frequenices of the long wavelength llmits of Lyman and balman series of hydrogen spectrum is

    A
    `27 : 5`
    B
    `5 : 27`
    C
    `4 : 1`
    D
    `1 : 4`

  • What is the ratio of Deltav==v_("max")-v_("min") for spectral lines corresponding to lyman & Balmer series for hydrogen

    A
    `9:4`
    B
    `4:9`
    C
    `5:7`
    D
    `7:5`

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