JEE MAIN - Chemistry (2002 - No. 56)
In a hydrogen atom, if energy of an electron in ground state is -13.6 eV, then that in the 2nd excited state is
-1.51 eV
-3.4 eV
-6.04 eV
-13.6 eV
Explanation
n = 1 means ground state
n = 2 means 1st excited state
n = 3 means 2nd excited state
Remember: nth excited state means n = n + 1
We know energy of an atom is given by
Energy (E) = -13.6 $$\times$$ $${{{Z^2}} \over {{n^2}}}$$
= -13.6 $$\times$$ $$1 \over 9$$ [ $$\because$$ Z = atomic number = 1 for hydrogen atom]
= -1.51 ev
n = 2 means 1st excited state
n = 3 means 2nd excited state
Remember: nth excited state means n = n + 1
We know energy of an atom is given by
Energy (E) = -13.6 $$\times$$ $${{{Z^2}} \over {{n^2}}}$$
= -13.6 $$\times$$ $$1 \over 9$$ [ $$\because$$ Z = atomic number = 1 for hydrogen atom]
= -1.51 ev
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