A 0.60 mW laser produces a beam of light with a diameter of 1.1 mm . Part A What is the average intensity of this beam?
Part B At what distance does a 130 W lightbulb 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.)

Respuesta :

Answer:

The average intensity of this beam and the distance are 631.4 w/m² and 2.86 cm.

Explanation:

Given that,

Power = 0.60 mW

Diameter = 1.1 mm

(A). We need to calculate the average intensity of this beam

Using formula of intensity

[tex]I=\dfrac{P}{A}[/tex]

Put the value into the formula

[tex]I=\dfrac{0.60\times10^{-3}}{\dfrac{\pi(1.1\times10^{-3})^2}{4}}[/tex]

[tex]I=631.4\ W/m^2[/tex]

(B). We need to calculate the distance

Given that,

Power = 130 W

5% of 130 W is 6.5 w

Using formula of  intensity

[tex]I=\dfrac{P}{A}[/tex]

Put the value into the formula

[tex]631.4=\dfrac{6.5}{4\pi (r)^2}[/tex]

[tex]r^2=\dfrac{6.5}{4\pi\times631.4}[/tex]

[tex]r=\sqrt{0.000819}[/tex]

[tex]r =0.0286\ m=2.86\ cm[/tex]

The distance is 2.86 cm.

Hence, The average intensity of this beam and the distance are 631.4 w/m² and 2.86 cm.