Home
Class 12
PHYSICS
Consider the radiation emitted by large ...

Consider the radiation emitted by large nu,ber of singly charged positive ions of a certain element. The sample emit fifteen types of spectral line. One of which is same as the first line of lyman series. What is the binding energy in the hinhest energy state of this configuration ?

A

`13.6 eV`

B

`54.4 eV`

C

`10.2 eV`

D

`1.6 eV`

Text Solution

Verified by Experts

The correct Answer is:
D
`(n(n-1))/(2) = 15 rArr n = 6` Element should be hydrogen like atoms so ions wll be `He^(+)`
Binding energy `= (13.6)(Z^(2))/(n^(2)) = ((3.6)(4))/(36) = (13.6)/(9) = 1.6 eV`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 02|1 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 03|2 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Radioactivity : Solved Example|6 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

Atomic hydrogen is excited to the nth energy level . The maximum number of spectral lines which it can emit while returning to ground state,is:

A neutrons beam, in which each neutron has same Kinetic energy , is passed through a sample of hydrogen like gas (but not hydrogen) in ground state and at rest . Due to collision of neutrons with the ions of the gas, ions are excited and then they emit photons . Six spectral lines arer obtained in which one of the lines is of wavelength (6200//51) nm ltbr. what is the minimum possible value of kinetic energy of the neutrons for this possible . The mass of neutron and protons can be assumed to be nearly same . Use hc=12400

Find the number of spectral lines in Paschen series emitted by atomic H, when electron is excited from ground state to 7th energy level returns back .

The ground state energy of hydrogen atom is -13.6eV. If an electron makes a transition form an energy level -0.85 eV to -1.51 eV, calculate the wavelength of spectral line emitted. To which series of hydrogen spectrum does this wavelength belongs?

The ground state energy of hydrogen atom is -13.6eV. If an electron makes a transition form an energy level -0.85 eV to -3.4 eV, calculate the wavelength of spectral line emitted. To which series of hydrogen spectrum does this wavelength belongs?

A sample of hydrogen gas in its ground state is irradiated with photons of 10.02 eV energies. The radiation from the above sample is used to irradiate two other sample of excited ionized He^(+) and excited ionized Li^(2+) , repectively. Both the ionized samples absorb the incident radiation. How many spectral lines are obtained in the spectra of He^(+) ion?

the only electron in the hydrogen atom resides under ordinary conditions in the first orbit. When energy is supplied the electron moves to higher energy orbit depending on the amount of energy absorbed. It emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second. Similarly, Paschen, Breakett and Pfund series are formed when electron returns to the third, fourth and fifth orbits from higher energy orbits respectively (as shown in figure). Maximum number of different lines produced when electron jump from nth level to ground level is equal to (n(n-1))/(2). For example in the case of n=4, number of lines produced is 6.(4to3,4to2,4to1,3to2,3to1,2to1). When an electron returns from n_(2) "to"n_(1) state, the number of different lines in the spectrum will be equal to ((n_(2)-n_(1))(n_(2)-n_(1)+1))/(2) If the electron comes back from energy level having energy E_(2) to energy level having energy E_(1), then the difference may be expressed in terms of energy of photon as: E_(2)-E_(1)=DeltaE,lambda=(hc)/(DeltaE),DeltaE=hv(v-"frequency") Since h and c are constants DeltaE corresponds to definite energy: thus each transition from one energy level to another will produce a light of definite wavelength. This is actually observed as a line in the spectrum of hydrogen atom. Wave number of line is given by the formula: barv=RZ^(2)((1)/(n_(1)^(2))-(1)/(n_(2)^(2))) where R is a Rydberg constant (R=1.1xx10^(7)m^(-1)). (i) First line of a series : It is called line of longest wavelength of line of smallest energy'. (ii) Series limit or last line of a series : It is the line of shortest wavelength or line of highest energy. wave number of the first line of Paschen series in Be^(3+) ion is :

Radiation from hydrogen gas excited to first excited state is used for illuminating certain photoelectric plate . When the radiation from same unknown hydrogen-like gas excited to the same level is used to expose the same plate , it is found that the de Broglie wavelength of the fastest photoelectron has decreased 2.3 time gt It is given that the energy corresponding to the longest wavelength of the Lyman series of the known gas is 3 times the ionization energy of the hydrogen gas (13.6 eV) . Find the work function of photoelectric plate in eV . [Take (2.3)^(2) = 5.25]

ALLEN-SIMPLE HARMONIC MOTION-SOME WORKED OUT EXAMPLES
  1. The energy of a tungsten atom with a vacancy in L small is 11.3 KaV. W...

    Text Solution

    |

  2. The figure shows a graph between 1n |(A(n))/(A(1))| and 1n|n|, where ...

    Text Solution

    |

  3. Consider the radiation emitted by large nu,ber of singly charged posit...

    Text Solution

    |

  4. The probaility that a certaun radioactive atom would get disintefrated...

    Text Solution

    |

  5. Figure shows the graph of stopping potential verus that frequency of a...

    Text Solution

    |

  6. Consider a hydrogen-like atom whose energy in nth excited state is giv...

    Text Solution

    |

  7. The positions of .(1)^(2)D,.(2)^(4)He and .(3)^(7)Li are shown on the ...

    Text Solution

    |

  8. How many head-on elastic collisions must a neutron have with deuterium...

    Text Solution

    |

  9. The fig. shows the variation of photon current with anode potential fo...

    Text Solution

    |

  10. Radioactive nuclei emit beta^-1 particles. Electrons exist inside th...

    Text Solution

    |

  11. A vessel of 831 cc contains .(1)^(3)H atm and 27^(@)C. If half life of...

    Text Solution

    |

  12. Choose the CORRECT statement(s)

    Text Solution

    |

  13. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  14. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  15. Einstein in 1905 proppunded the special theory of relativity and in 19...

    Text Solution

    |

  16. A meacury arec lamp provides 0.1 watt of ultra-violet radiation at a w...

    Text Solution

    |

  17. A point source is emitting 0.2 W of ultravio- let radiation at a wavel...

    Text Solution

    |

  18. A mercury arc lamp provides 0.10 W of UV radiation at a wavelength of ...

    Text Solution

    |

  19. With respect to photoelectric experiment, match the entries of Column ...

    Text Solution

    |

  20. A sample of hydrogen gas is excited by means of a monochromatic radiat...

    Text Solution

    |