What is the plane source equation for a gamma radiation source?

Answer 1

A gamma ray is an extremely high energy photon or "ray" of electromagnetic radiation. Gamma rays appear at the extreme upper end of the electromagnetic spectrum, up above X-rays with a bit of overlap. Their wavelengths are on the order of 10-11 meters (10 picometers), which translates into a frequency of about 30 x 1018 Hz. They have energies of 100 keV and up, and are created by actions or reactions involving atomic nuclei.

Gamma rays are a form of ionizing radiation, and they have very good penetrating power. They appear as a result of changes in atomic nuclei, and will cause some biological damage to living tissue. We are getting "zapped" by them all the time as part of natural background radiation. Use the link below to check facts and learn more.

Answer 2

RAY EQUATION is the equation of a light ray moving in a non-homogeneus medium.

We know that when light passes from a medium to another with different refractive index, it changes direction. If the refractive index changes continuously, the light ray will no longer be a straight line. It will be generally curved. The equation of this curve is given by the RAY EQUATION.

Answer 3

To find radiation levels for a plane source, the plane itself is considered to be a circle. The first step is to find the effective radius of the circle. Once you have the radius, you can determine two points: 0.1r and 0.7r. These are found by simply multiplying the radius by 0.1 and 0.7, respectively.

Ex. The diameter of the plane source is 10 ft.

The effective radius is d/2, or 5 ft.

The 0.1r point is 0.1(5 ft) = 0.5 ft

The 0.7r point is 0.7(5 ft) = 3.5 ft

Now you can determine the dose rate based on the distance from the plane source.

• From the surface of the plane to the 0.1r point, The rate is 3x

• From the 0.1r point to the 0.7r point, the rate is 1x

• From the 0.7r point and beyond, the plane is far enough away to be treated as a point source: R1 = R2(d22/d12)

Where: R = Dose rate

d = Distance from the source

So, how do you find the 3x and 1x values? It all depends on the actual dose rate you're given. If you are told the dose rate is 10 R/hr somewhere between the 0.1r and 0.7r points, then you know that it is 10 R/hr anywhere between the 0.1r and 0.7r points

You also know that the rate between the surface and the 0.1r point it is 3x the rate between 0.1r and 0.7r points, or 3(10 R/hr) = 30 R/hr.

At any point after the 0.7r point (3.5 ft., remember), the point source equation is used. So, in this example we'll say you want to know what the dose rate is at 10 ft.

• You know that the rate is 10 R/hr up to 3.5 ft.
• The distance you are solving for, or R2 is 10 ft
• Plug you numbers into the equation:

R1 = R2(d22/d12)

R1 = 10 R/hr(3.52 ft2/102 ft2)

R1 = 10 R/hr(12.25 ft2/100 ft2)

R1 = 10 R/hr(0.1225)

R1 = 1.225 R/hr

Answer 4

The plane source equation for gamma radiation describes the exposure rate at a distance r from a plane isotropic gamma source and is given by: ( H = \frac{{\Phi}}{2\pi r} ), where H is the exposure rate, Φ is the number of gamma emissions per unit time from the source, and r is the distance from the source to the point of interest.

Answer 5

Gamma rays are electromagnetic waves with more energy (per photon) than x-rays.