A 0.54-mW laser produces a beam of light with a diameter of 2.6 mm. (a) What is

Question

A 0.54-mW laser produces a beam of light with a diameter of 2.6 mm.
(a) What is the average intensity of this beam? 1 W/m2
(b) At what distance does a 150-W light bulb have the same average intensity as that found for the laser beam in part (a)? (Assume that 5.0% of the bulb's power is converted to light.) 2 cm A 0.54-mW laser produces a beam of light with a diameter of 2.6 mm.
(a) What is the average intensity of this beam? 1 W/m2
(b) At what distance does a 150-W light bulb have the same average intensity as that found for the laser beam in part (a)? (Assume that 5.0% of the bulb's power is converted to light.) 2 cm A 0.54-mW laser produces a beam of light with a diameter of 2.6 mm.
(a) What is the average intensity of this beam? 1 W/m2
(b) At what distance does a 150-W light bulb have the same average intensity as that found for the laser beam in part (a)? (Assume that 5.0% of the bulb's power is converted to light.) 2 cm

Explanation / Answer

here,

power output of laser , P = 0.54 mW = 5.4 * 10^-4 W

diameter , d = 2.6 mm = 0.0026 m

radius , r = 0.0013 m

a)

the average intensity of this beam , I = P /(pi * r^2)

I = 5.4 * 10^-4 /( pi * 0.0013^2)

I = 101.8 W/m^2

b)

power P = 150 W

150 /(pi * r^2) = 101.8

r = 0.69 m

the distance is 0.69 m

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