Laser beams are sometimes used to burn away cancerous tissue.What is the intensity, in watts per square meter, of a laser beam that is 90.0% absorbed by a 1.95-mm diameter spot of cancerous tissue and must deposit 480 J of energy to it in a time period of 4.05 s?

Respuesta :

Answer:

[tex]35716560 W/m^2[/tex]

Explanation:

1.95 mm = 0.00195

Suppose the cancerous tissue has a circular shape with area of

[tex]A = \pi d^2/4 = \pi*0.00195^2/4 = 3 \times 10^{-6} m^2[/tex]

The actual energy output of the laser beam with 90% efficiency is

[tex]E = 90% * 480 = 432 J[/tex]

The power of this energy over 4.05 s time period per square meter is

[tex] P = E/(A*t) = 432/( 3 \times 10^{-6} * 4.05) = 35716560 W/m^2[/tex]