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Question

Question: The energy of the highest energy photon of Balmer series of hydrogen spectrum is close to....

The energy of the highest energy photon of Balmer series of hydrogen spectrum is close to.

A

13.6 eV

B

3.4 eV

C

1.5 eV

D

0.85 eV

Answer

3.4 eV

Explanation

Solution

E=13.6[1n121n22].E = 13.6\left\lbrack \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right\rbrack. For highest energy in Balmer series n1=2n_{1} = 2 and n2=n_{2} = \inftyE=13.6[1(2)21()2]=3.4eVE = 13.6\left\lbrack \frac{1}{(2)^{2}} - \frac{1}{(\infty)^{2}} \right\rbrack = 3.4eV.