356517
As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:
1 kinetic energy, potential energy and total energy decreases
2 kinetic energy decreases, potential energy increases but total energy remains same
3 kinetic energy and total energy decreases but potential energy increases
4 Its kinetic energy increases but potential energy and total energy decreases
Explanation:
As electron goes to ground state, total energy decreases. \(TE = - KE\,\,\& \,\,PE = 2TE\) So, kinetic energy increases but potential energy and total energy decreases.
PHXII12:ATOMS
356518
The angular momentum of an electron in first orbit of \(L{i^{ + + }}\) ion is -
356519
Taking the Bohr radius as \({a_0} = 53\,pm,\) the radius of \(L{i^{ + + }}\) ion in its ground state, on the basis of Bohr’s model, will be about
1 \(27\,pm\)
2 \(53\,pm\)
3 \(13\,pm\)
4 \(18\,pm\)
Explanation:
On the basis of Bohr’s model, \(r = \frac{{{n^2}{h^2}{\varepsilon _0}}}{{\pi m{e^2}Z}} = {a_0}\frac{{{n^2}}}{Z}\) For \(L{i^{ + + }}\) ion, \(Z = 3;\,n = 1\) for ground state Given, \({a_0} = 53\,pm\) \(\therefore \,\,\,r = \frac{{53 \times {1^2}}}{3} = 18\,pm\)
NCERT Exemplar
PHXII12:ATOMS
356520
Which of the following parameters is same for all hydrogen-like atoms and ions in their ground states?
1 Radius of the orbit
2 Speed of the electron
3 Energy of the atom
4 Orbital angular momentum of the electron
Explanation:
For all \(H\)-like atoms in ground state \(L = \frac{h}{{2\pi }}\)
356517
As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:
1 kinetic energy, potential energy and total energy decreases
2 kinetic energy decreases, potential energy increases but total energy remains same
3 kinetic energy and total energy decreases but potential energy increases
4 Its kinetic energy increases but potential energy and total energy decreases
Explanation:
As electron goes to ground state, total energy decreases. \(TE = - KE\,\,\& \,\,PE = 2TE\) So, kinetic energy increases but potential energy and total energy decreases.
PHXII12:ATOMS
356518
The angular momentum of an electron in first orbit of \(L{i^{ + + }}\) ion is -
356519
Taking the Bohr radius as \({a_0} = 53\,pm,\) the radius of \(L{i^{ + + }}\) ion in its ground state, on the basis of Bohr’s model, will be about
1 \(27\,pm\)
2 \(53\,pm\)
3 \(13\,pm\)
4 \(18\,pm\)
Explanation:
On the basis of Bohr’s model, \(r = \frac{{{n^2}{h^2}{\varepsilon _0}}}{{\pi m{e^2}Z}} = {a_0}\frac{{{n^2}}}{Z}\) For \(L{i^{ + + }}\) ion, \(Z = 3;\,n = 1\) for ground state Given, \({a_0} = 53\,pm\) \(\therefore \,\,\,r = \frac{{53 \times {1^2}}}{3} = 18\,pm\)
NCERT Exemplar
PHXII12:ATOMS
356520
Which of the following parameters is same for all hydrogen-like atoms and ions in their ground states?
1 Radius of the orbit
2 Speed of the electron
3 Energy of the atom
4 Orbital angular momentum of the electron
Explanation:
For all \(H\)-like atoms in ground state \(L = \frac{h}{{2\pi }}\)
356517
As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:
1 kinetic energy, potential energy and total energy decreases
2 kinetic energy decreases, potential energy increases but total energy remains same
3 kinetic energy and total energy decreases but potential energy increases
4 Its kinetic energy increases but potential energy and total energy decreases
Explanation:
As electron goes to ground state, total energy decreases. \(TE = - KE\,\,\& \,\,PE = 2TE\) So, kinetic energy increases but potential energy and total energy decreases.
PHXII12:ATOMS
356518
The angular momentum of an electron in first orbit of \(L{i^{ + + }}\) ion is -
356519
Taking the Bohr radius as \({a_0} = 53\,pm,\) the radius of \(L{i^{ + + }}\) ion in its ground state, on the basis of Bohr’s model, will be about
1 \(27\,pm\)
2 \(53\,pm\)
3 \(13\,pm\)
4 \(18\,pm\)
Explanation:
On the basis of Bohr’s model, \(r = \frac{{{n^2}{h^2}{\varepsilon _0}}}{{\pi m{e^2}Z}} = {a_0}\frac{{{n^2}}}{Z}\) For \(L{i^{ + + }}\) ion, \(Z = 3;\,n = 1\) for ground state Given, \({a_0} = 53\,pm\) \(\therefore \,\,\,r = \frac{{53 \times {1^2}}}{3} = 18\,pm\)
NCERT Exemplar
PHXII12:ATOMS
356520
Which of the following parameters is same for all hydrogen-like atoms and ions in their ground states?
1 Radius of the orbit
2 Speed of the electron
3 Energy of the atom
4 Orbital angular momentum of the electron
Explanation:
For all \(H\)-like atoms in ground state \(L = \frac{h}{{2\pi }}\)
356517
As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion:
1 kinetic energy, potential energy and total energy decreases
2 kinetic energy decreases, potential energy increases but total energy remains same
3 kinetic energy and total energy decreases but potential energy increases
4 Its kinetic energy increases but potential energy and total energy decreases
Explanation:
As electron goes to ground state, total energy decreases. \(TE = - KE\,\,\& \,\,PE = 2TE\) So, kinetic energy increases but potential energy and total energy decreases.
PHXII12:ATOMS
356518
The angular momentum of an electron in first orbit of \(L{i^{ + + }}\) ion is -
356519
Taking the Bohr radius as \({a_0} = 53\,pm,\) the radius of \(L{i^{ + + }}\) ion in its ground state, on the basis of Bohr’s model, will be about
1 \(27\,pm\)
2 \(53\,pm\)
3 \(13\,pm\)
4 \(18\,pm\)
Explanation:
On the basis of Bohr’s model, \(r = \frac{{{n^2}{h^2}{\varepsilon _0}}}{{\pi m{e^2}Z}} = {a_0}\frac{{{n^2}}}{Z}\) For \(L{i^{ + + }}\) ion, \(Z = 3;\,n = 1\) for ground state Given, \({a_0} = 53\,pm\) \(\therefore \,\,\,r = \frac{{53 \times {1^2}}}{3} = 18\,pm\)
NCERT Exemplar
PHXII12:ATOMS
356520
Which of the following parameters is same for all hydrogen-like atoms and ions in their ground states?
1 Radius of the orbit
2 Speed of the electron
3 Energy of the atom
4 Orbital angular momentum of the electron
Explanation:
For all \(H\)-like atoms in ground state \(L = \frac{h}{{2\pi }}\)