(B) The velocity of an electron in a hydrogen-like species is given by $v = 2.18 \times 10^6 \times \frac{Z}{n} \ m/s$. For the ground state of hydrog

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(B) The velocity of an electron in a hydrogen-like species is given by $v = 2.18 \times 10^6 \times \frac{Z}{n} \ m/s$. For the ground state of hydrogen $(H)$: $Z_1 = 1$,$n_1 = 1$. For the second excited state of $He^{+}$: $Z_2 = 2$,$n_2 = 3$. The ratio is $\frac{v_H}{v_{He^{+}}} = \frac{Z_1 / n_1}{Z_2 / n_2} = \frac{1 / 1}{2 / 3} = \frac{3}{2} = 1.5$.

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

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What is the ratio of the velocity of an electron in the ground state of a hydrogen atom to the velocity of an electron in the second excited state of $He^{+}$?

A
$3.5$
B
$1.5$
C
$2$
D
$2.5$

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Class 11

Chemistry Questions

Chapter

Structure of Atom

Subtopic

Atomic models and Planck's quantum theory

Find the frequency of light that corresponds to photons of energy $5.0 \times 10^{-5} \ erg$.

DifficultAIIMS 2010

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Calculate the ionization energy of $H$,$He^{+}$,and $Li^{2+}$ in $kJ \, mol^{-1}$.

Medium

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According to classical theory,the proposed circular path of an electron in Rutherford atomic model will be:

Easy

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In which transition is minimum energy emitted?

Easy

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What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with $n=4$ to an energy level with $n=2$ (in $nm$)?

Medium

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What is the ratio of the velocity of an electron in the ground state of a hydrogen atom to the velocity of an electron in the second excited state of $He^{+}$?

Similar Questions

Find the frequency of light that corresponds to photons of energy $5.0 \times 10^{-5} \ erg$.

Calculate the ionization energy of $H$,$He^{+}$,and $Li^{2+}$ in $kJ \, mol^{-1}$.

According to classical theory,the proposed circular path of an electron in Rutherford atomic model will be:

In which transition is minimum energy emitted?

What is the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from an energy level with $n=4$ to an energy level with $n=2$ (in $nm$)?

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