Write down the limitations of Bohr's model.
(N/A) $(i)$ It fails to account for the finer details (doublet,that is two closely spaced lines) of the hydrogen atom spectrum observed by using sophisticated spectroscopic techniques.
This model is also unable to explain the spectrum of atoms other than hydrogen (e.g.,helium atom or ion which have more than one electron).
- Zeeman effect: Bohr's theory was unable to explain the $H$ spectrum in the presence of a magnetic field.
- Stark effect: Bohr's theory was unable to explain the $H$ spectrum in the presence of an electric field.
- Bohr's theory was unable to explain the splitting of spectral lines.
$(ii)$ It could not explain the ability of atoms to form molecules by chemical bonds.
This model is also unable to explain the spectrum of atoms other than hydrogen (e.g.,helium atom or ion which have more than one electron).
- Zeeman effect: Bohr's theory was unable to explain the $H$ spectrum in the presence of a magnetic field.
- Stark effect: Bohr's theory was unable to explain the $H$ spectrum in the presence of an electric field.
- Bohr's theory was unable to explain the splitting of spectral lines.
$(ii)$ It could not explain the ability of atoms to form molecules by chemical bonds.
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Which of the following statements are correct?
$I$) The energy of hydrogen atom in its ground state is $-13.6 \ eV$
$II$) On the basis of Bohr's model,the radius of the $3^{rd}$ orbit of hydrogen atom is $158.7 \ pm$
$III$) The order of radius of the first orbit of $H, He^{+}, Li^{2+}$ and $Be^{3+}$ is $H > He^{+} > Li^{2+} > Be^{3+}$
$I$) The energy of hydrogen atom in its ground state is $-13.6 \ eV$
$II$) On the basis of Bohr's model,the radius of the $3^{rd}$ orbit of hydrogen atom is $158.7 \ pm$
$III$) The order of radius of the first orbit of $H, He^{+}, Li^{2+}$ and $Be^{3+}$ is $H > He^{+} > Li^{2+} > Be^{3+}$
Heat treatment of muscular pain involves radiation of wavelength of about $900 \ nm$. Which spectral line of $H$ atom is suitable for this purpose?
$[R_H = 1.097 \times 10^7 \ m^{-1}, \ h = 6.626 \times 10^{-34} \ J \cdot s, \ c = 3 \times 10^8 \ m/s]$
$[R_H = 1.097 \times 10^7 \ m^{-1}, \ h = 6.626 \times 10^{-34} \ J \cdot s, \ c = 3 \times 10^8 \ m/s]$
If the Thomson model of the atom was correct,then the result of Rutherford's gold foil experiment would have been:
The energy of an electron in the first Bohr orbit of $H$-atom is $-13.6 \ eV$. The possible energy value of an electron in the first excited state of $Li^{2+}$ is (in $eV$)
MediumWBJEE 2011
View SolutionWhat will be the ionization energy in $eV$ for an excited hydrogen atom?
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