Answer:
The safe distance is 199 cm approximately 200 cm
Step-by-step explanation:
Safe intensity = 1.00 W/m^2
wattage of radar leaked radar = 50.0 W
safe distance from the microwave will be = ?
We know that the intensity of a wave radiated uniformly in all direction is given as
=

where
W is the wattage of the leaked radar
A is the radial area, which is the area of a sphere that encapsulates the region through which this wave spreads uniformly.
From the equation above,
=
= 50/1 = 50 m^2
But the area of this sphere
=
where
r is the safe distance from the radar source
substituting for the area, we have
50 = 4 x 3.142 x

50 = 12.568

= 50/12.568 = 3.978
r =
= 1.99 m = 199 cm ≅ 200 cm