The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy? [AIEE 2005; J & K CET 2010] (1) I               (2) II                (3) III             (4) IV

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The kinetic energy of the electron in an orbit of radius r in hydrogen atom is (e = electronic charge)

(1) $\frac{k{e}^{2}}{{r}^{2}}$        (2) $\frac{k{e}^{2}}{2r}$         (3) $\frac{k{e}^{2}}{r}$            (4) $\frac{k{e}^{2}}{2{r}^{2}}$

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Whenever a hydrogen atom emits a photon in the Balmer series

(1) It may emit another photon in the Balmer series

(2) It must emit another photon in the Lyman series

(3) It may emit another photon in the paschen series

(4) It need not emit any more photon

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The ionisation potential of hydrogen atom is

(1) 13.60 volt                (2) 8.24 volt

(3) 10.36 volt                (4) 14.24 bolt

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Which source is associated with a line emission spectrum? 

(1) Electric fibre                   (2) Neon street Sign

(3) Red traffic light               (4) Sun

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Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be 

(1) two          (2) three         (3) four             (4) one

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Frequency of the series limit of Balmer series of hydrogen atom in terms of Rydberg constant R and velocity of light C is

(1) $\frac{RC}{4}$           (2) RC            (3) $\frac{4}{RC}$            (4) 4 RC

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Orbital acceleration of electron is

(1) $\frac{{n}^{2}{h}^{2}}{4{\mathrm{\pi }}^{2}{\mathrm{m}}^{2}{\mathrm{r}}^{3}}$                  (2) $\frac{{n}^{2}{h}^{2}}{4{n}^{2}{\mathrm{r}}^{3}}$

(3) $\frac{4{n}^{2}{h}^{2}}{{\mathrm{\pi }}^{2}{\mathrm{m}}^{2}{\mathrm{r}}^{3}}$                     (4) $\frac{4{n}^{2}{h}^{2}}{4{\mathrm{\pi }}^{2}{\mathrm{m}}^{2}{\mathrm{r}}^{3}}$

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Consider the spectral line resulting from transition n = 2 to n = 1 in the atoms and ions given below.  The shorterst wavelength is given by

(1) Hydrogen atom

(2) Deuterium

(3) Singly ionised helium

(4) Doubly ionised lithium