Bohr Model of the Hydrogen Atom
PHXII12:ATOMS

356395 A sample of monatomic hydrogen gas contains 100 atoms and all the atoms are in \({n}\)th excited state. As the atoms come down to the ground state following various transitions, they release a total energy of \({\dfrac{4800}{49} R c h}\) (where 1 Rch \({=13.6 {eV}}\)). Find the value of \({N}\), where maximum possible number of photons emitted in the process is \({7 N \times 100}\).

1 1
2 3
3 5
4 8
PHXII12:ATOMS

356396 The binding energy of an electron with \({n=4}\) in the \({H}\)-atom is-

1 \(13.6\,eV\)
2 \(3.4\,eV\)
3 \(1.51\,eV\)
4 \(0.85\,eV\)
PHXII12:ATOMS

356397 What is the \(K.E.\) and \(P.E.\) of electron in the first orbit of hydrogen atom? Given \(e = 1.6 \times {10^{ - 19}}C\), \(r = 0.53 \times {10^{ - 10}}\;m:\)

1 \(13.58\,eV, - 27.16\,eV\)
2 \( - 13.58\,eV,27.16\,eV\)
3 \(13.58\;J,27.16\,eV\)
4 \(27.16\,eV,27.16\,eV\)
PHXII12:ATOMS

356398 The relation between the orbit radius and the electron velocity for a dynamically stable orbits in a hydrogen atom is (where all notations have their usual meanings):

1 \(v=\sqrt{\dfrac{4 \pi \varepsilon_{0}}{m e^{2} e}}\)
2 \(r=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} v}}\)
3 \(v=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} m r}}\)
4 \(r=\sqrt{\dfrac{v e^{2}}{4 \pi \varepsilon_{0} m}}\).
PHXII12:ATOMS

356399 In case of a hydrogen atom the ratio of areas of electrons orbits corresponding to first excited state and ground state is

1 \(16: 1\)
2 \(18: 1\)
3 \(4: 1\)
4 \(2: 1\)
PHXII12:ATOMS

356395 A sample of monatomic hydrogen gas contains 100 atoms and all the atoms are in \({n}\)th excited state. As the atoms come down to the ground state following various transitions, they release a total energy of \({\dfrac{4800}{49} R c h}\) (where 1 Rch \({=13.6 {eV}}\)). Find the value of \({N}\), where maximum possible number of photons emitted in the process is \({7 N \times 100}\).

1 1
2 3
3 5
4 8
PHXII12:ATOMS

356396 The binding energy of an electron with \({n=4}\) in the \({H}\)-atom is-

1 \(13.6\,eV\)
2 \(3.4\,eV\)
3 \(1.51\,eV\)
4 \(0.85\,eV\)
PHXII12:ATOMS

356397 What is the \(K.E.\) and \(P.E.\) of electron in the first orbit of hydrogen atom? Given \(e = 1.6 \times {10^{ - 19}}C\), \(r = 0.53 \times {10^{ - 10}}\;m:\)

1 \(13.58\,eV, - 27.16\,eV\)
2 \( - 13.58\,eV,27.16\,eV\)
3 \(13.58\;J,27.16\,eV\)
4 \(27.16\,eV,27.16\,eV\)
PHXII12:ATOMS

356398 The relation between the orbit radius and the electron velocity for a dynamically stable orbits in a hydrogen atom is (where all notations have their usual meanings):

1 \(v=\sqrt{\dfrac{4 \pi \varepsilon_{0}}{m e^{2} e}}\)
2 \(r=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} v}}\)
3 \(v=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} m r}}\)
4 \(r=\sqrt{\dfrac{v e^{2}}{4 \pi \varepsilon_{0} m}}\).
PHXII12:ATOMS

356399 In case of a hydrogen atom the ratio of areas of electrons orbits corresponding to first excited state and ground state is

1 \(16: 1\)
2 \(18: 1\)
3 \(4: 1\)
4 \(2: 1\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII12:ATOMS

356395 A sample of monatomic hydrogen gas contains 100 atoms and all the atoms are in \({n}\)th excited state. As the atoms come down to the ground state following various transitions, they release a total energy of \({\dfrac{4800}{49} R c h}\) (where 1 Rch \({=13.6 {eV}}\)). Find the value of \({N}\), where maximum possible number of photons emitted in the process is \({7 N \times 100}\).

1 1
2 3
3 5
4 8
PHXII12:ATOMS

356396 The binding energy of an electron with \({n=4}\) in the \({H}\)-atom is-

1 \(13.6\,eV\)
2 \(3.4\,eV\)
3 \(1.51\,eV\)
4 \(0.85\,eV\)
PHXII12:ATOMS

356397 What is the \(K.E.\) and \(P.E.\) of electron in the first orbit of hydrogen atom? Given \(e = 1.6 \times {10^{ - 19}}C\), \(r = 0.53 \times {10^{ - 10}}\;m:\)

1 \(13.58\,eV, - 27.16\,eV\)
2 \( - 13.58\,eV,27.16\,eV\)
3 \(13.58\;J,27.16\,eV\)
4 \(27.16\,eV,27.16\,eV\)
PHXII12:ATOMS

356398 The relation between the orbit radius and the electron velocity for a dynamically stable orbits in a hydrogen atom is (where all notations have their usual meanings):

1 \(v=\sqrt{\dfrac{4 \pi \varepsilon_{0}}{m e^{2} e}}\)
2 \(r=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} v}}\)
3 \(v=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} m r}}\)
4 \(r=\sqrt{\dfrac{v e^{2}}{4 \pi \varepsilon_{0} m}}\).
PHXII12:ATOMS

356399 In case of a hydrogen atom the ratio of areas of electrons orbits corresponding to first excited state and ground state is

1 \(16: 1\)
2 \(18: 1\)
3 \(4: 1\)
4 \(2: 1\)
PHXII12:ATOMS

356395 A sample of monatomic hydrogen gas contains 100 atoms and all the atoms are in \({n}\)th excited state. As the atoms come down to the ground state following various transitions, they release a total energy of \({\dfrac{4800}{49} R c h}\) (where 1 Rch \({=13.6 {eV}}\)). Find the value of \({N}\), where maximum possible number of photons emitted in the process is \({7 N \times 100}\).

1 1
2 3
3 5
4 8
PHXII12:ATOMS

356396 The binding energy of an electron with \({n=4}\) in the \({H}\)-atom is-

1 \(13.6\,eV\)
2 \(3.4\,eV\)
3 \(1.51\,eV\)
4 \(0.85\,eV\)
PHXII12:ATOMS

356397 What is the \(K.E.\) and \(P.E.\) of electron in the first orbit of hydrogen atom? Given \(e = 1.6 \times {10^{ - 19}}C\), \(r = 0.53 \times {10^{ - 10}}\;m:\)

1 \(13.58\,eV, - 27.16\,eV\)
2 \( - 13.58\,eV,27.16\,eV\)
3 \(13.58\;J,27.16\,eV\)
4 \(27.16\,eV,27.16\,eV\)
PHXII12:ATOMS

356398 The relation between the orbit radius and the electron velocity for a dynamically stable orbits in a hydrogen atom is (where all notations have their usual meanings):

1 \(v=\sqrt{\dfrac{4 \pi \varepsilon_{0}}{m e^{2} e}}\)
2 \(r=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} v}}\)
3 \(v=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} m r}}\)
4 \(r=\sqrt{\dfrac{v e^{2}}{4 \pi \varepsilon_{0} m}}\).
PHXII12:ATOMS

356399 In case of a hydrogen atom the ratio of areas of electrons orbits corresponding to first excited state and ground state is

1 \(16: 1\)
2 \(18: 1\)
3 \(4: 1\)
4 \(2: 1\)
PHXII12:ATOMS

356395 A sample of monatomic hydrogen gas contains 100 atoms and all the atoms are in \({n}\)th excited state. As the atoms come down to the ground state following various transitions, they release a total energy of \({\dfrac{4800}{49} R c h}\) (where 1 Rch \({=13.6 {eV}}\)). Find the value of \({N}\), where maximum possible number of photons emitted in the process is \({7 N \times 100}\).

1 1
2 3
3 5
4 8
PHXII12:ATOMS

356396 The binding energy of an electron with \({n=4}\) in the \({H}\)-atom is-

1 \(13.6\,eV\)
2 \(3.4\,eV\)
3 \(1.51\,eV\)
4 \(0.85\,eV\)
PHXII12:ATOMS

356397 What is the \(K.E.\) and \(P.E.\) of electron in the first orbit of hydrogen atom? Given \(e = 1.6 \times {10^{ - 19}}C\), \(r = 0.53 \times {10^{ - 10}}\;m:\)

1 \(13.58\,eV, - 27.16\,eV\)
2 \( - 13.58\,eV,27.16\,eV\)
3 \(13.58\;J,27.16\,eV\)
4 \(27.16\,eV,27.16\,eV\)
PHXII12:ATOMS

356398 The relation between the orbit radius and the electron velocity for a dynamically stable orbits in a hydrogen atom is (where all notations have their usual meanings):

1 \(v=\sqrt{\dfrac{4 \pi \varepsilon_{0}}{m e^{2} e}}\)
2 \(r=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} v}}\)
3 \(v=\sqrt{\dfrac{e^{2}}{4 \pi \varepsilon_{0} m r}}\)
4 \(r=\sqrt{\dfrac{v e^{2}}{4 \pi \varepsilon_{0} m}}\).
PHXII12:ATOMS

356399 In case of a hydrogen atom the ratio of areas of electrons orbits corresponding to first excited state and ground state is

1 \(16: 1\)
2 \(18: 1\)
3 \(4: 1\)
4 \(2: 1\)