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Gamma Decay: Definition, Examples, Practice Problems and FAQs

The term “ gamma rays” was coined by Ernst Rutherford, who also conducted the famous gold-foil experiment. He conducted vast experiments and observed that unstable nuclei become stable by following a phenomenon called radioactive decay or radioactivity wherein they emit certain subatomic particles (like alpha, beta). Rutherford observed that alpha particles, when allowed to pass through a metal foil, were stopped after a certain distance of thickness of foil; beta particles were found to have penetrating power a hundred times more than that of alpha particles. He observed a third type of radiation, which had far greater penetrating power, and he called them gamma rays. Today, these “ gamma rays” find wide applications in medical and scientific areas. So what exactly are gamma rays, and when are they emitted? Let’s explore! 

Table of Contents

Definition of Gamma Decay

Whenever an excited nucleus emits an alpha or beta particle, the daughter nucleus goes to an excited state. The excited nucleus returns to its ground state and in the process, it emits a gamma ray(y). A gamma ray or gamma photon is an electromagnetic radiation having high energy. If E denotes energy of a gamma ray, and indicates the frequency of the gamma photon, then E=hv , where image indicates Planck’s constant.  

Let Enf indicate the final energy level of the nucleus in its excited state and Eni indicate the initial energy level at its ground state. The difference between the two energy levels manifests itself as a photon of frequency f.

image

image

Fig showing the initial and final energy levels. Gamma radiation 

is emitted in the process.

Example of Gamma Decay

image

 

  • When a nucleus undergoes gamma decay, there is no change in its atomic number or mass number
  • image

Properties of Gamma Rays

  • y - rays do not have charge, so they are not deflected by electric and magnetic fields.
  • They propagate with the same speed as that of lightimage.
  • They have higher penetrating power than or particles. The order of penetrating power is image.
  • y- rays ionize gases. The order of ionizing power is image
  • y- rays produce fluorescence. 
  • They affect photographic plates. 
  • y- rays undergo diffraction, when they are passed through crystals.

Practice Problems of Gamma Decay

Question.1 Calculate the minimum frequency of ay - photon required to cause a deuteron atom to disintegrate into a proton and a neutron (md=2.0141 amu, mn=1.0087 amu, mp=1.0078 amu)

image

Answer)

Let v indicate the frequency of the photon. Then the energy of the gamma photon emitted, E=hv.

Also, energy released=mass defect c2, where c=3 108 m/s indicates the speed of light.

Mass defect=(1.0087+1.0078)-(2.0141)=2.0165-2.0141=0.0024 amu

Now, 1 amuimage

imageimage

Question.2 A free nucleus of mass 24 amu emits a gamma photon while initially it is at rest. The energy of the photon is found to be 7 MeV. The recoil energy of the nucleus, in keV is 

(a) 2.2 (b)1.1 (c) 3.1 (d)22

Answer) b

Given, mass of the nucleus, m=24 amu.

Let Ey indicate the energy of the emitted gamma photon and py indicate its momentum.image

Question.3 Calculate the frequency of a gamma ray photon that has a wavelength of 1.010-16 m ?  

Answer) image

Question.4 In a gamma decay reaction, the internal energy of a nucleus of mass M decreases, a gamma photon of energy E and linear momentum Structure of bacteriophage is emitted and the nucleus recoils. Find the decrease in internal energy?

Answer)

Mass of the photon=0, hence total momentum=0.

image

 

FAQs of Gamma Decay

Question.1 No change in atomic or mass number is observed when an element undergoes gamma decay. Why?

Answer. A change in atomic or mass number is observed when an element undergoes alpha (a) or (B) decay. During a gamma decay, only energetic photons are emitted.  

Question.2 What particles are emitted during gamma decay?

Answer. Gamma photons having high energy are emitted during gamma decay. 

Question.3 Gamma decay stabilizes the nucleus. Why?

Answer. The unstable nucleus returns to its ground state by dissipating some energy in the form of gamma photons, thus stabilizing the nucleus. 

Question.4 Where are gamma rays used in the field of medicine?

Answer. Gamma rays are used to destroy cancer cells.

Related Topics to Gamma Decay in Physics

NCERT Class 12 Physics Chapters

Electric Charges And Fields Electrostatic Potential and Capacitance

Current Electricity

Moving Charges and Magnetism Magnetism and Matter Electromagnetic Induction

Alternating Current

Electromagnetic Waves Ray Optics and Optical Instruments
Wave Optics Dual Nature of Radiation And Matter Atoms
Nuclei Semiconductor Electronics Communication Systems
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