(D) In Bohr's model,the time period of revolution $T$ is given by the relation $T \propto \frac{n^3}{Z^2}$.For $T_{1,2}$,$n = 1$ and $Z = 2$,so $T_{1,

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(D) In Bohr's model,the time period of revolution $T$ is given by the relation $T \propto \frac{n^3}{Z^2}$.For $T_{1,2}$,$n = 1$ and $Z = 2$,so $T_{1,2} \propto \frac{1^3}{2^2} = \frac{1}{4}$.For $T_{2,1}$,$n = 2$ and $Z = 1$,so $T_{2,1} \propto \frac{2^3}{1^2} = \frac{8}{1} = 8$.Therefore,the ratio $T_{1,2} : T_{2,1} = \frac{1}{4} : 8 = 1 : 32$.

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

Medium

If in Bohr's model,for a unielectronic atom,the time period of revolution is represented as $T_{n,Z}$ where $n$ represents the shell number and $Z$ represents the atomic number,then the value of $T_{1,2} : T_{2,1}$ will be

A
$8 : 1$
B
$1 : 8$
C
$1 : 1$
D
$1 : 32$

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Class 11

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Structure of Atom

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Atomic models and Planck's quantum theory

If the binding energy of electrons in a metal is $250 \ kJ \ mol^{-1}$,what should be the threshold frequency of the striking photons in order to free an electron from the metal surface?

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The wave number of the first line of the Balmer series of $H$ atom is $15200 \ cm^{-1}$. What is the wave number of the first line of the Lyman series of $Li^{2+}$? (in $cm^{-1}$)

Medium

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On the basis of Bohr's model,the radius of $3^{rd}$ orbit is

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The angular momentum of an electron in a stationary state of $Li^{2+} (Z=3)$ is $\frac{3h}{\pi}$. The radius and energy of that stationary state are respectively:

MediumAP EAMCET 2024

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The energy of an electron in an orbit of a hydrogen-like ion with an orbit radius of $52.9 \ pm$ in $J$ is (ground state energy of an electron in a hydrogen atom is $-2.18 \times 10^{-18} \ J$).

DifficultAP EAMCET 2019

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If in Bohr's model,for a unielectronic atom,the time period of revolution is represented as $T_{n,Z}$ where $n$ represents the shell number and $Z$ represents the atomic number,then the value of $T_{1,2} : T_{2,1}$ will be

Similar Questions

If the binding energy of electrons in a metal is $250 \ kJ \ mol^{-1}$,what should be the threshold frequency of the striking photons in order to free an electron from the metal surface?

The wave number of the first line of the Balmer series of $H$ atom is $15200 \ cm^{-1}$. What is the wave number of the first line of the Lyman series of $Li^{2+}$? (in $cm^{-1}$)

On the basis of Bohr's model,the radius of $3^{rd}$ orbit is

The angular momentum of an electron in a stationary state of $Li^{2+} (Z=3)$ is $\frac{3h}{\pi}$. The radius and energy of that stationary state are respectively:

The energy of an electron in an orbit of a hydrogen-like ion with an orbit radius of $52.9 \ pm$ in $J$ is (ground state energy of an electron in a hydrogen atom is $-2.18 \times 10^{-18} \ J$).

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