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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

The relative luminosity for a wavelength of 600 nm is 0.6 ....

The relative luminosity for a wavelength of 600 nm600 \text{ nm} is 0.60.6. Determine the radiant flux at 600 nm600 \text{ nm} required to generate the same brightness sensation as that produced by a radiant flux of 120 W120 \text{ W} at 555 nm555 \text{ nm}.

Options

  1. A333 W333 \text{ W}
  2. B120 W120 \text{ W}
  3. C72 W72 \text{ W}
  4. D200 W200 \text{ W}

Correct answer

D. 200 W200 \text{ W}

Step-by-step solution

Luminous flux is given by the product of a constant, relative luminosity, and radiant flux.

For the same brightness sensation, the luminous flux must be equal for both wavelengths.

Let the radiant flux at 600 nm600 \text{ nm} be Φ\Phi.

The relative luminosity at 555 nm555 \text{ nm} is 11 (maximum).

Equating the luminous flux for both wavelengths:

V(600 nm)×Φ=V(555 nm)×120V(600 \text{ nm}) \times \Phi = V(555 \text{ nm}) \times 120

0.6×Φ=1×1200.6 \times \Phi = 1 \times 120

Φ=1200.6=200 W\Phi = \dfrac{120}{0.6} = 200 \text{ W}
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