(C) The energy of an electron in a hydrogen-like species is given by the formula: $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$.For the $He^{+}$ ion,the a

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(C) The energy of an electron in a hydrogen-like species is given by the formula: $E_n = -13.6 \times \frac{Z^2}{n^2} \ eV$.For the $He^{+}$ ion,the atomic number $Z = 2$.The ground state is $n = 1$,the first excited state is $n = 2$,and the second excited state is $n = 3$.Substituting $Z = 2$ and $n = 3$ into the formula:$E_3 = -13.6 \times \frac{2^2}{3^2} \ eV$$E_3 = -13.6 \times \frac{4}{9} \ eV$$E_3 = -13.6 \times 0.4444 \ eV = -6.04 \ eV$.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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The ground state energy of hydrogen atom is $-13.6 \ eV$. The energy of the second excited state of $He^{+}$ ion in $eV$ is:

JEE MAIN 2019 All JEE MAIN

A
$-54.4$
B
$-3.4$
C
$-6.04$
D
$-27.2$

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Structure of Atom

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Atomic models and Planck's quantum theory

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What is the kinetic energy of an electron in the second excited state of $He^{+}$? (Energy of an electron in the first shell of $H = -13.6 \ eV$)

Medium

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Match the spectral series of the hydrogen atom given in List-$I$ with their corresponding transitions given in List-$II$.
List-$I$ List-$II$
$(1)$ Lyman $(A)$ $n = 2 \to n = 1$
$(2)$ Balmer $(B)$ $n = 3 \to n = 2$
$(3)$ Paschen $(C)$ $n = 4 \to n = 3$
$(4)$ Brackett $(D)$ $n = 5 \to n = 4$

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Which of the following was $NOT$ proposed by Rutherford in his atomic model?

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Which one of the following corresponds to the wavelength of a line in the Balmer series of the $H$ atom spectrum? $(R =$ Rydberg constant$)$

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When atoms are bombarded with alpha particles,only a few in a million suffer deflection,while others pass through undeflected. This is because:

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List-$I$	List-$II$
$(1)$ Lyman	$(A)$ $n = 2 \to n = 1$
$(2)$ Balmer	$(B)$ $n = 3 \to n = 2$
$(3)$ Paschen	$(C)$ $n = 4 \to n = 3$
$(4)$ Brackett	$(D)$ $n = 5 \to n = 4$

The ground state energy of hydrogen atom is $-13.6 \ eV$. The energy of the second excited state of $He^{+}$ ion in $eV$ is:

Similar Questions

What is the kinetic energy of an electron in the second excited state of $He^{+}$? (Energy of an electron in the first shell of $H = -13.6 \ eV$)

Match the spectral series of the hydrogen atom given in List-$I$ with their corresponding transitions given in List-$II$.List-$I$List-$II$$(1)$ Lyman$(A)$ $n = 2 \to n = 1$$(2)$ Balmer$(B)$ $n = 3 \to n = 2$$(3)$ Paschen$(C)$ $n = 4 \to n = 3$$(4)$ Brackett$(D)$ $n = 5 \to n = 4$

Which of the following was $NOT$ proposed by Rutherford in his atomic model?

Which one of the following corresponds to the wavelength of a line in the Balmer series of the $H$ atom spectrum? $(R =$ Rydberg constant$)$

When atoms are bombarded with alpha particles,only a few in a million suffer deflection,while others pass through undeflected. This is because:

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Match the spectral series of the hydrogen atom given in List-$I$ with their corresponding transitions given in List-$II$.
List-$I$ List-$II$
$(1)$ Lyman $(A)$ $n = 2 \to n = 1$
$(2)$ Balmer $(B)$ $n = 3 \to n = 2$
$(3)$ Paschen $(C)$ $n = 4 \to n = 3$
$(4)$ Brackett $(D)$ $n = 5 \to n = 4$