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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Photometry

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Photometry

Identify the correct statements from the following.

Identify the correct statements from the following.

Options

  1. AThe luminous efficiency of a monochromatic source with a wavelength of 555 nm555 \text{ nm} always exceeds that of a white light source having the same power.
  2. BThe illuminating power of a monochromatic source with a wavelength of 555 nm555 \text{ nm} always exceeds that of a white light source having the same power.
  3. CThe luminous efficiency of a monochromatic source always exceeds that of a white light source having the same power.
  4. DThe illuminating power of a monochromatic source always exceeds that of a white light source having the same power.

Correct answer

B. The illuminating power of a monochromatic source with a wavelength of 555 nm555 \text{ nm} always exceeds that of a white light source having the same power.

Step-by-step solution

The relative luminosity of the human eye is maximum at a wavelength of 555 nm555 \text{ nm}.

Luminous efficiency is the ratio of total luminous flux to the total radiant power. For a monochromatic source of wavelength 555 nm555 \text{ nm}, the luminous efficiency is maximum. A white light source contains various wavelengths across the visible spectrum, for most of which the relative luminosity is less than 11. Thus, the overall luminous efficiency of a white light source is less than that of a monochromatic source at 555 nm555 \text{ nm}.

Illuminating power is proportional to the luminous flux. Since the luminous efficiency of the 555 nm555 \text{ nm} source is higher, its luminous flux and illuminating power will also be greater than those of a white light source of the same radiant power.

A monochromatic source at a different wavelength (e.g., 700 nm700 \text{ nm}) has a very low luminous efficiency, which can be lower than that of a white light source. Thus, statements (3) and (4) are incorrect.
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