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

Concepts Of Physics MCQ Edition [Volume 2] · Physics · The Nucleus

Determine the missing product to complete the given decay scheme: ^...

Determine the missing product to complete the given decay scheme:
^{226}_{88}\text{Ra} \to \alpha + \,?

Options

  1. A^{230}_{90}\text{Th}
  2. B^{222}_{87}\text{Fr}
  3. C^{222}_{86}\text{Rn}
  4. D^{224}_{86}\text{Rn}

Correct answer

C. ^{222}_{86}\text{Rn}

Step-by-step solution

The given decay process is an alpha decay, which can be represented as:

^{226}_{88}\text{Ra} \rightarrow ^{4}_{2}\text{He} + ^{A}_{Z}\text{X}<br><br>Applyingthelawofconservationofmassnumber:<br><br><br><br>Applying the law of conservation of mass number:<br><br>226 = 4 + A<br><br><br><br>A = 222<br><br>Applyingthelawofconservationofatomicnumber:<br><br><br><br>Applying the law of conservation of atomic number:<br><br>88 = 2 + Z<br><br><br><br>Z = 86<br><br>Theelementwithatomicnumber<br><br>The element with atomic number86isRadon(is Radon (\text{Rn}).<br><br>Thus,themissingproductis86222Rn).<br><br>Thus, the missing product is ^{222}_{86}\text{Rn}.
Practice The Nucleus on Quantrex Academy →

More from The Nucleus

A neutron star possesses a density equivalent to that of nuclear matter. Assuming the… Concepts Of Physics MCQ Edition [Volume 2]Determine the amount of energy released during the reaction given below: ^ 7 Li + p → α +… Concepts Of Physics MCQ Edition [Volume 2]Determine the binding energy per nucleon of ^ 197 _ 79 Au , given that its atomic mass is… Concepts Of Physics MCQ Edition [Volume 2]Compute the energy released if an α -particle is emitted by ^ 238 U . The atomic masses… Concepts Of Physics MCQ Edition [Volume 2]Suppose that the mass of a nucleus is roughly given by M = A m_p , where A represents the… Concepts Of Physics MCQ Edition [Volume 2]Determine the mass of an α -particle, given that its binding energy is 28.2 MeV . Concepts Of Physics MCQ Edition [Volume 2]Compute the energy that needs to be supplied to ^ 238 U in order for two protons and two… Concepts Of Physics MCQ Edition [Volume 2]Calculate the energy released in the nuclear reaction ^ 223 Ra → ^ 209 Pb + ^ 14 C . The… Concepts Of Physics MCQ Edition [Volume 2] Full The Nucleus list All Concepts Of Physics MCQ Edition [Volume 2] PYQs