Bohr Model of the Hydrogen Atom
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PHXII12:ATOMS

356408 In Bohr's model of \({H}\)-atom, the kinetic energy of the electron in any orbit depends on the principal quantum number \({n}\) as

1 \({K \propto \dfrac{1}{n^{2}}}\)
2 \({K \propto n^{2}}\)
3 \({K \propto 1 / n^{4}}\)
4 \({K}\) does not depend on \({n}\)
PHXII12:ATOMS

356409 In the Bohr's model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electron. If \(a_{0}\) is the radius of the ground state orbit, \(m\) is the mass, \(e\) is the charge on electron and \(\varepsilon_{0}\) is the permittivity of free space, the speed of the electron is

1 \(\dfrac{e}{\sqrt{\varepsilon_{0} a_{0} m}}\)
2 Zero
3 \(\dfrac{e}{\sqrt{4 \pi \varepsilon_{0} a_{0} m}}\)
4 \(\dfrac{\sqrt{4 \varepsilon_{0} a_{0} m}}{e}\)
AIIMS - 2009
PHXII12:ATOMS

356410 Assertion :
In hydrogen atom as \(n\) increases, energy level comes closer and closer.
Reason :
Energy of an electron in hydrogen atom is \({E_n} = \frac{{ - 13.6}}{{{n^2}}}eV\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356411 An electron rotates in a circle around a nucleus having positive charge \(Z e\). Correct relation between total energy \((E)\) of the electron to its potential energy \((U)\) is

1 \(2 E=3 U\)
2 \(E=2 U\)
3 \(E=U\)
4 \(2 E=U\)
JEE - 2024
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PHXII12:ATOMS

356408 In Bohr's model of \({H}\)-atom, the kinetic energy of the electron in any orbit depends on the principal quantum number \({n}\) as

1 \({K \propto \dfrac{1}{n^{2}}}\)
2 \({K \propto n^{2}}\)
3 \({K \propto 1 / n^{4}}\)
4 \({K}\) does not depend on \({n}\)
PHXII12:ATOMS

356409 In the Bohr's model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electron. If \(a_{0}\) is the radius of the ground state orbit, \(m\) is the mass, \(e\) is the charge on electron and \(\varepsilon_{0}\) is the permittivity of free space, the speed of the electron is

1 \(\dfrac{e}{\sqrt{\varepsilon_{0} a_{0} m}}\)
2 Zero
3 \(\dfrac{e}{\sqrt{4 \pi \varepsilon_{0} a_{0} m}}\)
4 \(\dfrac{\sqrt{4 \varepsilon_{0} a_{0} m}}{e}\)
AIIMS - 2009
PHXII12:ATOMS

356410 Assertion :
In hydrogen atom as \(n\) increases, energy level comes closer and closer.
Reason :
Energy of an electron in hydrogen atom is \({E_n} = \frac{{ - 13.6}}{{{n^2}}}eV\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356411 An electron rotates in a circle around a nucleus having positive charge \(Z e\). Correct relation between total energy \((E)\) of the electron to its potential energy \((U)\) is

1 \(2 E=3 U\)
2 \(E=2 U\)
3 \(E=U\)
4 \(2 E=U\)
JEE - 2024
NEET DIGITAL LIBRARY
PHXII12:ATOMS

356408 In Bohr's model of \({H}\)-atom, the kinetic energy of the electron in any orbit depends on the principal quantum number \({n}\) as

1 \({K \propto \dfrac{1}{n^{2}}}\)
2 \({K \propto n^{2}}\)
3 \({K \propto 1 / n^{4}}\)
4 \({K}\) does not depend on \({n}\)
PHXII12:ATOMS

356409 In the Bohr's model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electron. If \(a_{0}\) is the radius of the ground state orbit, \(m\) is the mass, \(e\) is the charge on electron and \(\varepsilon_{0}\) is the permittivity of free space, the speed of the electron is

1 \(\dfrac{e}{\sqrt{\varepsilon_{0} a_{0} m}}\)
2 Zero
3 \(\dfrac{e}{\sqrt{4 \pi \varepsilon_{0} a_{0} m}}\)
4 \(\dfrac{\sqrt{4 \varepsilon_{0} a_{0} m}}{e}\)
AIIMS - 2009
PHXII12:ATOMS

356410 Assertion :
In hydrogen atom as \(n\) increases, energy level comes closer and closer.
Reason :
Energy of an electron in hydrogen atom is \({E_n} = \frac{{ - 13.6}}{{{n^2}}}eV\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356411 An electron rotates in a circle around a nucleus having positive charge \(Z e\). Correct relation between total energy \((E)\) of the electron to its potential energy \((U)\) is

1 \(2 E=3 U\)
2 \(E=2 U\)
3 \(E=U\)
4 \(2 E=U\)
JEE - 2024
Join With Us for More Updates
PHXII12:ATOMS

356408 In Bohr's model of \({H}\)-atom, the kinetic energy of the electron in any orbit depends on the principal quantum number \({n}\) as

1 \({K \propto \dfrac{1}{n^{2}}}\)
2 \({K \propto n^{2}}\)
3 \({K \propto 1 / n^{4}}\)
4 \({K}\) does not depend on \({n}\)
PHXII12:ATOMS

356409 In the Bohr's model of a hydrogen atom, the centripetal force is furnished by the Coulomb attraction between the proton and the electron. If \(a_{0}\) is the radius of the ground state orbit, \(m\) is the mass, \(e\) is the charge on electron and \(\varepsilon_{0}\) is the permittivity of free space, the speed of the electron is

1 \(\dfrac{e}{\sqrt{\varepsilon_{0} a_{0} m}}\)
2 Zero
3 \(\dfrac{e}{\sqrt{4 \pi \varepsilon_{0} a_{0} m}}\)
4 \(\dfrac{\sqrt{4 \varepsilon_{0} a_{0} m}}{e}\)
AIIMS - 2009
PHXII12:ATOMS

356410 Assertion :
In hydrogen atom as \(n\) increases, energy level comes closer and closer.
Reason :
Energy of an electron in hydrogen atom is \({E_n} = \frac{{ - 13.6}}{{{n^2}}}eV\)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356411 An electron rotates in a circle around a nucleus having positive charge \(Z e\). Correct relation between total energy \((E)\) of the electron to its potential energy \((U)\) is

1 \(2 E=3 U\)
2 \(E=2 U\)
3 \(E=U\)
4 \(2 E=U\)
JEE - 2024
For More Updates join with Us