The Line Spectra of the Hydrogen Atom
PHXII12:ATOMS

356560 For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as \(\lambda = \frac{{\left( {k{m^2}} \right)}}{{\left( {{m^2} - 4} \right)}}\), where '\(m\)' is principal quantum number of energy level. The value of \(k\) in terms of Rydberg's constant \(R\) is

1 \(\dfrac{4}{R}\)
2 \(\dfrac{R}{4}\)
3 \(4 R\)
4 \(R\)
PHXII12:ATOMS

356561 An electron of stationary hydrogen atom jumps from 4\(th\) energy level to ground level. The velocity that the photon acquired as a result of electron transition will be ( where \(H = \) Planck’s constant, \(R = \) Rydberg’s constant, \(m = \) mass of photons)

1 \(\frac{{9Rh}}{{16m}}\)
2 \(\frac{{11Rh}}{{16m}}\)
3 \(\frac{{13Rh}}{{16m}}\)
4 \(\frac{{15Rh}}{{16m}}\)
PHXII12:ATOMS

356562 The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen-like ion is

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

356563 The radiation emitted when an electron jumps from \({n}=3\) to \({n}=2\) orbit in a hydrogen atom falls on a metal to produce photoelectrons. Find the work function of the metal, when maximum kinetic energy of ejected electron is \(1.376 \times 10^{-19} {~J}\).

1 \(1.04\,eV\)
2 \(3.64\,eV\)
3 \(7.16\,eV\)
4 \(5.09\,eV\)
PHXII12:ATOMS

356560 For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as \(\lambda = \frac{{\left( {k{m^2}} \right)}}{{\left( {{m^2} - 4} \right)}}\), where '\(m\)' is principal quantum number of energy level. The value of \(k\) in terms of Rydberg's constant \(R\) is

1 \(\dfrac{4}{R}\)
2 \(\dfrac{R}{4}\)
3 \(4 R\)
4 \(R\)
PHXII12:ATOMS

356561 An electron of stationary hydrogen atom jumps from 4\(th\) energy level to ground level. The velocity that the photon acquired as a result of electron transition will be ( where \(H = \) Planck’s constant, \(R = \) Rydberg’s constant, \(m = \) mass of photons)

1 \(\frac{{9Rh}}{{16m}}\)
2 \(\frac{{11Rh}}{{16m}}\)
3 \(\frac{{13Rh}}{{16m}}\)
4 \(\frac{{15Rh}}{{16m}}\)
PHXII12:ATOMS

356562 The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen-like ion is

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

356563 The radiation emitted when an electron jumps from \({n}=3\) to \({n}=2\) orbit in a hydrogen atom falls on a metal to produce photoelectrons. Find the work function of the metal, when maximum kinetic energy of ejected electron is \(1.376 \times 10^{-19} {~J}\).

1 \(1.04\,eV\)
2 \(3.64\,eV\)
3 \(7.16\,eV\)
4 \(5.09\,eV\)
PHXII12:ATOMS

356560 For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as \(\lambda = \frac{{\left( {k{m^2}} \right)}}{{\left( {{m^2} - 4} \right)}}\), where '\(m\)' is principal quantum number of energy level. The value of \(k\) in terms of Rydberg's constant \(R\) is

1 \(\dfrac{4}{R}\)
2 \(\dfrac{R}{4}\)
3 \(4 R\)
4 \(R\)
PHXII12:ATOMS

356561 An electron of stationary hydrogen atom jumps from 4\(th\) energy level to ground level. The velocity that the photon acquired as a result of electron transition will be ( where \(H = \) Planck’s constant, \(R = \) Rydberg’s constant, \(m = \) mass of photons)

1 \(\frac{{9Rh}}{{16m}}\)
2 \(\frac{{11Rh}}{{16m}}\)
3 \(\frac{{13Rh}}{{16m}}\)
4 \(\frac{{15Rh}}{{16m}}\)
PHXII12:ATOMS

356562 The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen-like ion is

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

356563 The radiation emitted when an electron jumps from \({n}=3\) to \({n}=2\) orbit in a hydrogen atom falls on a metal to produce photoelectrons. Find the work function of the metal, when maximum kinetic energy of ejected electron is \(1.376 \times 10^{-19} {~J}\).

1 \(1.04\,eV\)
2 \(3.64\,eV\)
3 \(7.16\,eV\)
4 \(5.09\,eV\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII12:ATOMS

356560 For wavelength of visible radiation of hydrogen spectrum Balmer gave an equation as \(\lambda = \frac{{\left( {k{m^2}} \right)}}{{\left( {{m^2} - 4} \right)}}\), where '\(m\)' is principal quantum number of energy level. The value of \(k\) in terms of Rydberg's constant \(R\) is

1 \(\dfrac{4}{R}\)
2 \(\dfrac{R}{4}\)
3 \(4 R\)
4 \(R\)
PHXII12:ATOMS

356561 An electron of stationary hydrogen atom jumps from 4\(th\) energy level to ground level. The velocity that the photon acquired as a result of electron transition will be ( where \(H = \) Planck’s constant, \(R = \) Rydberg’s constant, \(m = \) mass of photons)

1 \(\frac{{9Rh}}{{16m}}\)
2 \(\frac{{11Rh}}{{16m}}\)
3 \(\frac{{13Rh}}{{16m}}\)
4 \(\frac{{15Rh}}{{16m}}\)
PHXII12:ATOMS

356562 The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen-like ion is

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

356563 The radiation emitted when an electron jumps from \({n}=3\) to \({n}=2\) orbit in a hydrogen atom falls on a metal to produce photoelectrons. Find the work function of the metal, when maximum kinetic energy of ejected electron is \(1.376 \times 10^{-19} {~J}\).

1 \(1.04\,eV\)
2 \(3.64\,eV\)
3 \(7.16\,eV\)
4 \(5.09\,eV\)