1-A manufacturer of christmas tree lights wants
all her coloured bulbs to have the same luminous...

Question

1-A manufacturer of christmas tree lights wants
all her coloured bulbs to have the same luminous intensity of 1 candela. To
achieve this, with what radiant intensity must her bulb of wavelength 484 nm
radiate? Give your answer in W/sr to 3 significant figures.Note: the photopic
relative luminous efficiency function can be approximated analytically as
exp{-300(?/ XXXXXXXXXX)2} where wavelength? is in nm.2-A small monochromatic light source, radiating
at 507 nm, is rated at 344 W. The source radiates uniformly in all directions.
A screen situated 6.8 m from the source, with its surface normal to the radiant
flux, contains a hole with diameter 7.5 cm. Determine the amount of radiant
flux (in SI units) going through the hole. Give your answer to 3 significant
figures.Need details steps

Robert · Accepted Answer

1) 
We know that the luminous efficiency is given by 
total luminous flux
luminous efficiency 
total radiant flux
  
If we divide by solid angle , we get
total luminous flux / sr
luminous efficiency 
total radiant flux / sr
total luminous Intensity (lumen / sr candela)
(1)
total radiant Intensity (W / sr)


 
 
Given that luminous intensity of bulb is 1 candela   ------ (2) 
and luminous efficiency  =
2
300 0.555
1000
e where in nm and 484nm,given
 
  
 
  
 

 
    
Substituting the value in the above eq. we have 
 
2
3
484
300 0.

1-A manufacturer of christmas tree lights wants all her coloured bulbs to have the same luminous intensity of 1 candela. To achieve this, with what radiant intensity must her bulb of wavelength 484...

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