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An particular hydrogen like ion emits radiation of frequency 2.92 × 1015 Hz when it makes transition from n = 3 to n = 1. The frequency in Hz of radiation emitted in transition from n = 2 to n = 1 will be:

Option 1 -

2.46 * 1015

Option 2 -

4.38 * 1015

Option 3 -

6.57 * 1015

Option 4 -

0.44 * 1015

0 4 Views | Posted 3 weeks ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    3 weeks ago
    Correct Option - 1


    Detailed Solution:

    h f 1 = R ( 1 1 2 − 1 3 2 ) = R × 8 9

    h f 2 = R ( 1 1 2 − 1 2 2 ) = R × 3 4

    f 1 f 2 = 8 / 9 3 / 4 = 3 2 2 7

    f2 = f1 × ( 2 7 3 2 )

    = ( 2 . 9 2 × 1 0 1 5 ) × ( 2 7 3 2 )

    = 2 . 4 6 × 1 0 1 5 H z

     

     

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