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

The decay constant of ¹⁹⁷₈₀ Hg (which decays by electron capture to ¹⁹⁷₇₉ Au ) is 1.8 10⁻⁴ s ⁻¹ . What is the half-life of this isotope?

Options

  1. A64.2 min
  2. B128.4 min
  3. C32.1 min
  4. D92.6 min

Correct answer

A. 64.2 min

Step-by-step solution

The half-life T_ 1/2 of a radioactive isotope is related to its decay constant by the formula: T_ 1/2 = 2 Given = 1.8 10⁻⁴ s ⁻¹ and using 2 0.693 : T_ 1/2 = 0.693 1.8 10⁻⁴ s T_ 1/2 = 3850 s Converting the half-life from seconds to minutes: T_ 1/2 = 3850 60 min T_ 1/2 64.16 min 64.2 min

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