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QJEEM21Ph0858: JEE Main 2021 Physics - Class 12 JEEM21Ph0858 Solution: A particular hydrogen like ion emits radiation of frequency…

A particular hydrogen like ion emits radiation of frequency 2.92 ×\times 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 :

Multiple Choice Options

  • A 0.44 ×\times 1015
  • B 6.57 ×\times 1015
  • C 4.38 ×\times 1015
  • D 2.46 ×\times 1015

Step-by-Step Verified Solution

nf1=k(11−132)n{f_1} = k\left( {{1 \over 1} - {1 \over {{3^2}}}} \right)

nf2=k(1−122)n{f_2} = k\left( {1 - {1 \over {{2^2}}}} \right)

f1f2=8/93/4⇒f2=2.46×1015{{{f_1}} \over {{f_2}}} = {{8/9} \over {3/4}} \Rightarrow {f_2} = 2.46 \times {10^{15}}

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