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  • According to Bohr’s theory (assuming infinite mass of the nucleus), the frequency of the second line of the Balmer series is  Option: 1</strong

According to Bohr’s theory (assuming infinite mass of the nucleus), the frequency of the second line of the Balmer series is
 

Option: 1

\mathrm{ 6.16 \times 10^{14}Hz}
 


Option: 2

\mathrm{ 6.16 \times 10^{10}Hz}


Option: 3

\mathrm{ 6.16 \times 10^{13}Hz}


Option: 4

\mathrm{ 6.16 \times 10^{16}Hz}


Answers (1)

best_answer

Wavelength of Baimer series is given by

\mathrm{\frac{1}{\lambda} =R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right) }

\mathrm{\frac{v}{c} =R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right) \quad \quad[\because c=v \lambda] }

\mathrm{v =c R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right) }

For second line of Balmer series,

\mathrm{n_1 =2 ; n_2=4 }

\mathrm{v =3 \times 10^8 \times 10967800\left(\frac{1}{2^2}-\frac{1}{4^2}\right) }

    \mathrm{ =6.16 \times 10^{14} \mathrm{~Hz} }

Hence option 1 is correct.


 

Posted by

Rishi

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