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NEET PHYSICSMedium

Let T1T_1 and T2T_2 be the energy of an electron in the first and second excited states of hydrogen atoms, respectively. According to the Bohr's model of an atom, the ratio T1:T2T_1 : T_2 is

A

1 : 4

B

4 : 1

C

4 : 9

D

9 : 4

Step-by-Step Solution

En=E0n2E_n = \frac{E_0}{n^2}. For first excited state, n=2n = 2. For second excited state, n=3n = 3. Therefore, T1T2=E0/22E0/32=1/41/9=94\frac{T_1}{T_2} = \frac{E_0/2^2}{E_0/3^2} = \frac{1/4}{1/9} = \frac{9}{4}.

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