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Karnataka Board PUCPUC Science Class 11

The Relative Luminosity of Wavelength 600 Nm is 0.6. Find the Radiant Flux of 600 Nm Needed to Produce the Same Brightness Sensation as Produced by 120 W of Radiant Flux at 555 Nm. - Physics

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Question

The relative luminosity of wavelength 600 nm is 0.6. Find the radiant flux of 600 nm needed to produce the same brightness sensation as produced by 120 W of radiant flux at 555 nm.

Sum
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Solution

Given,

Relative luminosity = 0.6

Let P be the radiant flux of the source.

∴ Luminous flux = P × 685

Again, relative luminosity

`="Luminous flux of a source of given wavelength"/"Luminous flux of a source of 555nm of same power"`

`therefore0.6="Luminous flux of a source P watt"/(685P)`

`rArr685 xxPxx0.6=120xx685`

`rArr P=120/0.6=200W`

So, 200 W radiant flux is needed to produce the same brightness sensation for 600 nm wavelength.

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Light Process and Photometry
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Chapter 22: Photometry - Exercise [Page 455]

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HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 22 Photometry
Exercise | Q 4 | Page 455

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