$\text{r}=1\text{m}, $
$\theta=37^\text{o}$
So, illuminance,
$\text{E}=\frac{\text{l}\cos\theta}{\text{r}^2} =\frac{50\times\cos37^\text{o}}{1^2}=40\text{ lux}$
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$\text{r}=1\text{m}, $
$\theta=37^\text{o}$
So, illuminance,
$\text{E}=\frac{\text{l}\cos\theta}{\text{r}^2} =\frac{50\times\cos37^\text{o}}{1^2}=40\text{ lux}$
$\Rightarrow \text{t}=\frac{10\text{W}\times12\text{sec}}{12\text{W}}=10\text{sec.}$
Luminous efficiency = 60 lumen/W
So, Luminous flux = 60 × 31.4 lumen
And luminous intensity
$=\frac{\text{Luminous Flux}}{4\pi}=\frac{60\times31.4}{4\pi}=150\text{ candela}$Explantion:
The luminosity first increases up to 555nm and then decreases.
White light emits power in all wavelengths of visible radiation, and the yellow plastic will block all the other wavelengths other than the yellow one. This means that it will allow only a small amount of power, emitted by the white light, in the yellow coloured wavelength and block the rest. Thus, it will decrease the illuminating power of the source.
$\therefore$ Relative luminosity $=\frac{\text{Luminous flux of the source of given wavelength}}{\text{Luminous flux of 555nm source of same power}}=\frac{450}{685}=66\%$
So, the relative luminosity at the wavelength emitted is 66%.$\big[\therefore$ Since, luminous flux of 555nm source of 1W = 685 lumen$\big]$