In: Physics
What is the intensity in W/m² of a laser beam used to burn away cancerous tissue that, when 93.5% absorbed, puts 493 J of energy into a circular spot 2.13 mm in diameter in 3.70 s?
_______________W/m²
How many times more intense is this than the maximum intensity of direct sunlight (about 1360 W/m²)?
_______________
Energy E = 493 J
Diameter d = 2.13 mm
Radius r = d/ 2
= 1.065 mm
=1.065 x10 -3 m
Area of crosssection A =
r 2
= 3.56x10 -6 m 2
Time t = 3.7 s
Power P = E / t
= 133.24 W
Intensity absorbed I = P /A
= 37.39 x10 6 W / m2
Intensity of laser beam I ' = I / 0.935
= 40 x10 6 W m2
(b). required number = I ' /(1360 W/m 2)
= 29408.9