## Blinding (Sun)Light

Looking directly at the noonday sun on a clear day can blind you. What is the intensity of that blinding sunlight reaching your eyes in W/m^2? The sun has a luminosity of about 4 x 10^26 W and is 1.5 x 10^11 meters from us.

##
__
__**Hint**

**Hint**

Intensity:

$$$I=\frac{L}{4\pi R^2}$$$

where
$$L$$
is the luminosity, and
$$R$$
is the distance.

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__
__**Hint 2**

**Hint 2**

Donâ€™t worry about converting any units.

Intensity:

$$$I=\frac{L}{4\pi R^2}$$$

where
$$L$$
is the luminosity, and
$$R$$
is the distance. Thus,

$$$I=\frac{4\cdot 10^{26}W}{4\pi (1.5\cdot 10^{11}m)^2}=\frac{10^{26}W}{2.25\pi \cdot 10^{22}m^2}$$$

$$$=\frac{10^{4}}{2.25\pi }W/m^2=1415\:\frac{W}{m^2}$$$

$$$1415\: W/m^2$$$