Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsThe Nucleus

Determine the minimum energy required to separate a neutron from a nucleus containing Z protons and N neutrons, in terms of the masses M_ Z, N , M_ Z, N-1 , and the mass of the neutron m_n .

Options

  1. A(M_ Z, N - M_ Z, N-1 - m_n) c^2
  2. B(M_ Z, N + m_n - M_ Z, N-1 ) c^2
  3. C(M_ Z, N-1 + m_n - M_ Z, N ) c^2
  4. D(M_ Z, N-1 - M_ Z, N - m_n) c^2

Correct answer

C. (M_ Z, N-1 + m_n - M_ Z, N ) c^2

Step-by-step solution

The process of separating a neutron from a nucleus containing Z protons and N neutrons can be represented by the nuclear reaction: _ Z ^ Z+N X _ Z ^ Z+N-1 Y + ₀¹n The mass of the initial nucleus is M_ Z, N . The mass of the products is the sum of the mass of the residual nucleus and the mass of the neutron, which is M_ Z, N-1 + m_n . The minimum energy required to separate the neutron is equal to the mass difference between the products and the initial nucleus, multiplied by c^2 . m = Mass of products - Mass of rea

Practice The Nucleus on Quantrex Academy →

More from The Nucleus

A neutron star possesses a density equivalent to that of nuclear matter. Assuming the star is spherical, determine the radius of a neutron star with a mass of 4.0 10³⁰ kg (twice thDetermine the amount of energy released during the reaction given below: ⁷ Li + p + . The atomic mass of ⁷ Li is 7.0160 u and that of ⁴ He is 4.0026 u .Determine the binding energy per nucleon of ¹⁹⁷₇₉ Au , given that its atomic mass is 196.96 u .Compute the energy released if an -particle is emitted by ²³⁸ U . The atomic masses of ²³⁸ U , ²³⁴ Th , and ⁴ He are 238.0508 u , 234.04363 u , and 4.00260 u respectively.Suppose that the mass of a nucleus is roughly given by M = A m_p , where A represents the mass number. Estimate the density of matter inside a nucleus in kg m ⁻³ , and determine thDetermine the mass of an -particle, given that its binding energy is 28.2 MeV .Compute the energy that needs to be supplied to ²³⁸ U in order for two protons and two neutrons to be emitted one by one. The atomic masses of ²³⁸ U , ²³⁴ Th , and ⁴ He are 238.050Calculate the energy released in the nuclear reaction ²²³ Ra ²⁰⁹ Pb + ¹⁴ C . The necessary atomic masses are provided below. ²²³ Ra ²⁰⁹ Pb ¹⁴ C 223.018 u 208.981 u 14.003 u Full The Nucleus list All Concepts Of Physics MCQ Edition [Volume 2] PYQs