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Optical Density

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Optical Density Definition

Basically, the physical density would be the ratio of mass to the volume, and optical density measures the speed of light while passing through an optically dense medium. 

 

The optical density is a property of a transparent material that measures the speed of the light through the material. The extent to which any optically dense medium bends transmitted light rays towards or away from the normal is called the optical density.  

 

The light passing via an optically dense medium bends towards the normal and if the same light passes via any rarer medium such as air, it bends away from the normal.

 

Optical Density

Now, let us understand the phenomenon of optical density and its effect on the light passing via a medium by comparing the two media.

 

Consider two mediums: glass and air. When a beam of light passes from air to glass. The speed of the light decreases in the glass. It tells us that the glass is optically denser than air.

 

Which means,

The velocity of light in glass (denser medium) is less than the velocity of it in rarer medium (air).

 

If the same light passes from glass to air. The speed of light increases. 

Which means,

The velocity of light in the air (rarer medium) is less than the velocity of it in glass (denser medium).

 

What is Transmittance?

The transmittance of a medium or a material is defined as the constituent of the light that moves via the other side of the medium or the ratio of the light energy falling on it to the light transmitted through it. When light passes through any medium, it can be transmitted, reflected, or absorbed.

 

The transmittance of the light can be defined as the ratio of the intensity of incident light (Io) to the amount of intensity (Ia)  passing through the medium. It is denoted by T.

 

Where,

T =  Ia /Io

 

The transmittance has no unit.

The ratio of radiant flux transmitted by the material (Φt) to the radiant flux (Φi) received by that surface is known as the Transmittance (T).

 

Transmittance Formula

T = Φ t /  Φ i is the transmittance of the material.

 

Here, the radiant flux is the radiant energy emitted, reflected, transmitted, or received, per unit time. Its unit is Watt and the SI unit is Joule per second (J/s)

 

Optical Density formula

An optical density is defined as an equation given by, 

Optical density (O.D.) =  log₁₀ Io / It

 

The optical density of any medium is defined as the logarithmic ratio of the intensity of incident light (Io) to the intensity of the transmitted light (It) passing through that medium. 

The O.D value for absorbance can be computed by the formula given by,

O.D. Value

Absorbance (A)  = log₁₀ (100) / (%T)

 

Where, Io is the intensity of visible light incident upon a small area of the film and It, the intensity of light transmitted by that region. T% is the percentage of transmission.

 

The Relation Between Optical Density and Absorbance

The optical density and absorbance both measure the absorption of light when that light passes through an optical medium however they both are not the same.

 

Optical density measures the ability of an object to slow or delay the transmission of light. It measures the speed of light via a substance which is affected mainly by the wavelength of the given light wave.

 

Absorbance, in a wave motion, is the transfer of the energy of a wave to matter as the wave passes via it. If there is only a fragmental absorption of energy, the medium is said to be lucid to that particular radiation, but, if all the energy is lost, the medium is said to be opaque. Therefore, absorption of light occurs more in an optically dense medium.

 

Absorption Unit

The absorption unit is basically used in ultraviolet-visible spectroscopy where AU is a dimensionless quantity denoted by AU. 

Absorption of any material is taken as A given by,

(A)  = log₁₀ (100) / (%T)"

Where Φ t is the radiant flux transmitted by that material and, Φ i is the radiant flux received by that material. T is the transmittance.

 

How does Concentration Influence Optical Density?

Since optical density can influence the speed of light due to optical absorption, it is quite evident that the concentration can also influence the optical density of the matter. If the optical density of the material is higher in value then it will decrease the speed of light and this causes the light to change its motion. Due to the slower speed of light, it will bend. Optical density is influenced by the concentration of light due to optical absorption. With increased concentration, the optical density of the matter will also increase.


The Significance of Optical Density

The concept of optical density helps the students to understand the speed of light transmission. The concept of optical density helps students to understand why the speed of light decreases when passing through a particular substance and the importance of the wavelength of the light transmitted through the medium. This is an important concept of physics that explains a lot of phenomena involving light emission and transmission.


Difference between Optical Density and Absorbance

Optical density measures the degree of the angle to which a particular medium slows down the speed of the transmitted light. Absorbance measures the capacity of a particular object or a medium to absorb the transmitted light that is of a specific wavelength. The concept of optical density takes both the phenomenon into account, that is the absorption of the light of a specific wavelength and the amount of light that is scattering.


The Best Way to Understand the Concept of Optical Density

The best way to understand the concept of physics is to take practical examples and analyse them on the basis of the knowledge of a particular topic. The concept of optical density explains what are the influential factors that can change the course of the light and can even lower the speed of the transmitted light. There are some practical examples that we can find around ourselves. The students can consider these items to understand the concepts of physics. Optical density takes the absorption of light by a particular medium, the scattering of the lights of different wavelengths, and the refractive index into account.


All these associated concepts can be understood by the students if they are provided with proper examples. Different types of objects can influence the speed of the light and its motion depending on the mass or the optical density, and the power of absorption. The concept can also help the students to establish relationships between the optical density, refractive index, and the speed of the light. The more the refractive index is, the more will be the optical density of a particular matter and will affect the speed of the light inversely.


The students can also refer to various reference books and textbooks prescribed by CBSE to understand various concepts of Physics. The subject-specific NCERT books are available on the website of Vedantu for free. The NCERT books of physics, chemistry and biology are available on the website along with the other revision notes that can help the students to memorize the important facts that they have already learned.


How does the Intensity of a Particular Medium Influence the Speed of Light?

When light passes through a denser medium it has to face more particles and due to the absorption of the different wavelengths of the light, the speed of the light decreases. For example, when light passes through the medium of air, the frequency of the wavelength and the speed will not be affected by the medium. But when light passes through the medium of water or glass, the speed of the light decreases gradually.

FAQs on Optical Density

1. If the incident light intensity is 2000 units and the transmitted intensity is 1/200 of this, then calculate the density.

Optical density (O.D.) = log₁₀ Io/ It


= log₁₀ 2000/500 = log₁₀ 4


= log₁₀  ((10)2) …(1)


Applying the formula (log₁₀ (10) = 1) 


= 2 * log₁₀ (10) = 2*1


O.D. = 2 (Here, the optical density is equal to 2)


Optimal optical density (OD) values for reliable measurements must be lower than 2.

2. What does Higher Optical Density Mean?

The optical density of any material is directly related to the refractive index of that material. The more is the optical density, more will be the refractive index which means the speed of light also varies with the optical density. Hence the optical density is directly related to the refractive index of that material.

3. How do you Calculate Absorption?

The most common method to measure the absorption is to direct a generated beam at the body and detect the intensity of the radiation that passes via it. The basic example of absorption can be a blackbody that absorbs all the light on it and when heated they transmit the lights of varying wavelengths in the form of energy. The transmitted energy can be utilized to calculate the absorption.

4. What Does the Absorbance of 1 Mean?

Absorbance can range from 0 to infinity where the absorbance of 0 means the medium does not absorb any light, an absorbance of 1 means the medium or a material absorbs 90% of the light and absorbance of 2 means the material absorbs 99 % of the light.

5. Why is learning the concept of optical density important for the students?

The concept of optical density provides the student with the relevant knowledge that can describe the characteristics of light depending on the various influential factors. The optical density clarifies a lot of concepts that are associated with optical science and explains various physical phenomena with substantial evidence. The concept of optical density and optical science is considered foundational concepts of physics. The students must understand these concepts so that they can acquire the required knowledge in order to pursue their higher academic careers in the field of physics. 

Questions from the chapter on optical density may appear in the examinations of the students. The aspirant engineers among the students who want to qualify for various engineering examinations and other entrance examinations, need to have a proper grip over the concepts of Physics. To make the learning process easier Vedantu offers free course materials with a detailed discussion of each and every chapter of physics with solved question papers and mock papers. The option to register for the free classes is also available on the website of Vedantu.