Candela: Origin & Measurements

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Candela is the SI Unit of luminous intensity - a measure of wavelength weighted power emitted by a source light. Light is measured in a number of ways even though light is not a physical quantity. However, light has various physical properties like speed, wavelength etc. that can be measured in terms of various units such as candela, lux and lumen. The candela is said to have replaced the standard candle or lamp as a unit of luminous intensity in calculations and derivations involving artificial light.

Key words: Candela, Unit of measurement, Unit of Light, Luminous intensity, SI Unit


Definition of Candela

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In the field of physics, the Candela, denoted by the symbol ‘cd/m2’, can be defined as the unit of luminous intensity i.e. a measure of the wavelength weighted power emitted by a source of light. According to the International System of Units, popularly known as SI, the candela is a base unit that can be defined by taking the fixed value in numerical terms of the luminous efficacy of the monochromatic radiation having a frequency of 540 x 1012 Hertz. 

One candela is mathematically expressed as: 1 cd = (Kcd/ 683) Kgm2s-3sr-1

The unit is dependent on luminous intensity and radiant intensity for a given wavelength of light. Luminance is measured in lux, which is defined as one candela per square meter.

candela

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Important Concepts Related to this Topic
Unit of Light System of Units SI Units

Origin of Candela 

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Candela originates from the latin word that translates to “candle” that refers to an ancient light source. In olden times, Candlepower was used to define luminous intensity depending on the candle.

The candela was first defined by French Physicist and inventor, Jules Violle. In 2018, the 26th general conference introduced candela as the official unit of measurement of luminous intensity. 


Other Measures of Light

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The two other main measures of light are: Lumen and Lux.

  • Lumen is the SI unit of luminous flux, which refers to the rate at which the visible light is emitted from a source. The lumen, in relation to the candela, is defined as:

 1lm= 1cd . sr

Where, lm = lumen

Cd = candela

Sr = steradian

  • Lux is the SI unit of illuminance and luminous emittance. Lux is related to lumen in a way that one lux is equivalent to lumen per square meter and is given by:

1 lx= 1 lm/m2 = 1 cd.sr/m2

light
Light

Things to Remember

  • Candela is the SI unit of luminous intensity.
  • Candela is denoted by ‘cd/m²’.
  • It is the luminous power per unit solid angle emitted by a point light source in a specified direction.
  • Luminous intensity is comparable to radiant intensity.
  • Candela has originated from a Latin word which means “candle”.
  •  It is mathematically expressed as 1 cd = (Kcd/ 683) Kgm2s-3sr-1.

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Sample Questions

Ques: What is the origin of Candela? (3 marks)

Ans: Candela was first defined by French Physicist and inventor, Jules Violle. Candela originates from the latin word that translates to “candle” that refers to an ancient light source. In 2018, the 26th general conference introduced candela as the official unit of measurement of luminous intensity. 

Ques: Define Candela. (2 marks)

Ans: Candela is the SI unit of luminous intensity. It is the luminous power per unit solid angle emitted by a point light source in a specified direction. It is represented as cd/m2.

Ques What is the basic unit of light? (2 marks)

Ans: The behavior of light can be seen in the behavior of waves and photons, the basic unit of light. A wavelength, which varies inversely with frequency, manifests itself as color, whilst wave amplitude is seen as luminous intensity or brightness; it is measured by the standard unit of a candela.

Ques: How accurate is the measurement of Candela? (3 marks)

Ans: Candela is a SI unit that mostly depends on human perception, hence its accuracy is not that high. The measurement laboratory is trying to reduce this uncertainty in luminous intensity management. It is estimated that the accuracy of a candela is less than 0.1%. However, it is important to improve this percentage as a SI unit should have high accuracy due to its many industrial applications.

Ques: How to increase the accuracy of Candela? (3 marks)

Ans: The national measurement laboratory, NIST is finding ways to improve the accuracy of candela. It has listed a number of ways such as developing a pulsed laser that can be tuned to particular wavelengths of light, which will further allow the creation of photometers that mimic the human vision mechanism. 

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CBSE CLASS XII Related Questions

  • 1.
    Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))


      • 2.
        Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]


          • 3.
            Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.


              • 4.
                Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

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                • 5.
                  The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

                    • \( \frac{q}{4 \pi \epsilon_0 l^2} \) pointing along MA
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                    • Zero

                  • 6.
                    A tank is filled with a liquid to a height of \( 12.5 \, \text{m} \). The apparent depth of a needle lying at the bottom of the tank is measured to be \( 9.0 \, \text{m} \). Calculate the speed of light in the liquid.

                      CBSE CLASS XII Previous Year Papers

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