Home
Class 12
PHYSICS
Find the binding energy per nucleon of79...

Find the binding energy per nucleon` of_79^197Au` if its atomic mass is 196.96 u.

Text Solution

Verified by Experts

The correct Answer is:
D

Given, `B = (Zm_p + Nm_n - M)c^2`
`Z = 79, N = 118`
` m_p = 1.007276u`
`M = 196.96u`
`m_n = 1.008665u`
`B = [(79 xx 1.007276 + 118 xx`
`1.008665)u - Mu]c^2`
`= 198.597274 xx 931 -196.96 xx 931`
`= 1524.302094`
So, Binding Energy per nucleon.
`= 1524.3/197 = 7.737`.
Promotional Banner

Topper's Solved these Questions

  • THE NUCLEOUS

    HC VERMA|Exercise Objective 2|10 Videos
  • SPEED OF LIGHT

    HC VERMA|Exercise Exercises|3 Videos
  • THE SPECIAL THEORY OF RELATIVITY

    HC VERMA|Exercise Exercises|27 Videos

Similar Questions

Explore conceptually related problems

The binding energy per nucleon of O^16 is 7.97 MeV and that of O^17 is 7.75 MeV . The energy (in MeV) required to remove a neutron from O^17 is.

The binding energy per nucleon is almost constant for the nuclei having atomic mass number……….

A nuclear of mass M +deltam is at rest and decay into two daughter nuclei of equal mass (M)/(2) each speed is c The binding energy per nucleon for the nucleus is E_(1) and that for the daugther nuclei is E_(2) Then

Assume that the nuclear binding energy per uncleon (B//A) versus mass number (A) is as shwon in Fig. Use this plot to choose the correct choice (s) given below:

If the binding energy per nucleon in ._(3)Li^(7) and ._(2)He^(4) nuclei are respectively 5.60 MeV and 7.06 MeV, then the ebergy of proton in the reaction ._(3)Li^(7) +p rarr 2 ._(2)He^(4) is

Find the energy equivalent of one atomic mass unit, first in Joules and then in MeV. Using this, express the mass defect of ""_(8)^(16)O in MeV//c^2 .

Find the energy equivalent of one atomic mass unit, first in joules and then in MeV. Using this express the mass defect of _8^16 O in MeV//c^2 .

The mass of nucleus ._(z)X^(A) is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of massws m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M ''only if (m_(3)+m_(4)) gt M ''. The masses of some neutral atoms are given in the table below. |{:(._(1)^(1)H,1.007825u,._(1)^(2)H,2.014102u,),(._(1)^(3)H,3.016050u,._(2)^(4)H,4.002603u,),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,),(._(30)^(70)Zn,69.925325u,._(34)^(82)Se,81.916709u,),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.97445u,),(._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u,):}| The correct statement is

The mass of a nucleus ._(Z)^(A)X is less that the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus.The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of masses m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of masses m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M'. only if (m_(3)+m_(4)) gt M' . The masses of some neutral atoms are given in the table below: |{:(._(1)^(1)H ,1.007825u , ._(1)^(2)H,2.014102u,._(1)^(3)H,3.016050u,._(2)^(4)He,4.002603u),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,._(30)^(70)Zn,69.925325u, ._(34)^(82)Se,81.916709u),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.974455u,._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u):}| Taking kinetic energy ( in KeV ) of the alpha particle, when the nucleus ._(84)^(210)P_(0) at rest undergoes alpha decay, is:

A fission reaction is given by ._(92)^(236)U rarr ._(54)^(140)Xe + ._(54)^(140)Xe + ._(38)^(94)Sr + x +y , where x and y are two particles. Considering ._(92)^(236)U to be at rest, the kinetic energies of the products are denoted by K_(xe),K_(Sr),K_(x)(2MeV) and K_(y)(2Me V) , respectively. Let the binding energies per nucleon of ._(92)^(236)U, ._(54)^(140)Xe and ._(38)^(94)Sr be 7.5 MeV, 8.5 Me V and 8.5 MeV , respectively. Considering different conservation laws, the correct options (s) is (are)

HC VERMA-THE NUCLEOUS-Exercises
  1. Calculate the mass of an alpha-particle.Its binding energy is 28.2 meV...

    Text Solution

    |

  2. how much energy is released in the following reaction:^7Li+p rraralpha...

    Text Solution

    |

  3. Find the binding energy per nucleon of79^197Au if its atomic mass is 1...

    Text Solution

    |

  4. (a)Calculate the energy relaeased if ^238U emits an alpha -partical .(...

    Text Solution

    |

  5. Find the energy liberated in the reaction ^223Ra rarr^209(Pb)+^14C. T...

    Text Solution

    |

  6. Show that the minimum energy needed to sepatate a proton from a nucleu...

    Text Solution

    |

  7. Calculate the minimum energy needed to separate a neutron form a nucle...

    Text Solution

    |

  8. ^32P beta-decays to ^32S.Find the sum of the energy of the antineutrin...

    Text Solution

    |

  9. A free neutron beta-decays to a proton with a half-life of 14 minutes ...

    Text Solution

    |

  10. Complete the following decay schemes. (a)88^226Ra rarr alpha + (b)8^19...

    Text Solution

    |

  11. In the decay ^64(Cu) rarr ^64(Ni)+e^+v,the maximum kinetic energy carr...

    Text Solution

    |

  12. Potassium-40 can decay in three modes .It can decay by beta^(-) -emiss...

    Text Solution

    |

  13. Lithium (Z=3) has two stable isotopes ^6Liand ^7Li.When neutrons are b...

    Text Solution

    |

  14. The masses of "^11C and "^11B are respectively 11.0114 u and 11.0093 u...

    Text Solution

    |

  15. ^228Themits an alpha particle to reduce to ^224Ra.Calculate the kineti...

    Text Solution

    |

  16. Calculate the maximum kinetic energy of the bera particle emitted in t...

    Text Solution

    |

  17. The decay constant of 80^197Hg(electron capature to 79^197Au)is 1.8xx1...

    Text Solution

    |

  18. The half-life of .^198Au is 2.7 days. Calculate (a) the decay constant...

    Text Solution

    |

  19. Radioactive 138I has a half-life of 8.0 days .A sample containing 138I...

    Text Solution

    |

  20. The decay constant of ^238Uis 4.9xx10^-18 s^-1.(a) What is the avarage...

    Text Solution

    |