Physics, 05.08.2020 18:01 delphinelilly2846

Lasers are classified according to the eye-damage danger they pose. Class 2 lasers, including many laser pointers, produce visible light with no greater than 1.0 mW total power. They're relatively safe because the eye's blink reflex limits exposure time to 250 ms. Requried:
a. Find the intensity of a 1-mW class 2 laser with beam diameter 2.0 mm .
b. Find the total energy delivered before the blink reflex shuts the eye.
c. Find the peak electric field in the laser beam.

Answers: 3

Show answers

Answers

Answer from: awgggg

(a) The intensity of laser beam is $318.2 \;\rm W/m^{2}$ .

(b) The total energy delivered before the blink reflex shuts the eye is $2.5 \times 10^{-4} \;\rm J$ .

Given data:

The power of laser is, $P=1 \;\rm mW = 1 \times 10^{-3} \;\rm W$ .

The exposure time is, $t = 250\;\rm ms = 250 \times 10^{-3} \;\rm s$ .

The beam diameter is, $d = 2 \;\rm mm = 2 \times 10^{-3} \;\rm m$ .

The standard expression for the intensity of beam is given as,

I = P/A

Here, P is the power of the laser and A is the cross-sectional area of the beam. And its value is,

$A =\pi /4 \times d^{2}\\\\A =\pi /4 \times (2 \times 10^{-3})^{2}\\\\A =3.142 \times 10^{-6} \;\rm m^{2}$

Then intensity is,

$I = (1 \times 10^{-3})/(3.142 \times 10^{-6})\\\\I =318.2 \;\rm W/m^{2}$

Thus, the intensity of laser beam is $318.2 \;\rm W/m^{2}$ .

(b)

The expression for the total energy delivered is given as,

E = Pt

Solving as,

$E = 1 \times 10^{-3} \times (250 \times 10^{-3})\\\\E = 2.5 \times 10^{-4} \;\rm J$

Thus, the total energy delivered before the blink reflex shuts the eye is $2.5 \times 10^{-4} \;\rm J$ .

(c)

The expression for the peak electric field is given as,

$E = \sqrt{\dfrac{2I}{c \times \epsilon_{0}}}$

Solving as,

$E = \sqrt{\dfrac{2 \times 318.2}{(3 \times 10^{8}) \times (8.85 \times 10^{9})}}\\\\E =1.55 \times 10^{-8} \;\rm V/m$

Thus, the required value of peak electric field in the laser beam is $1.55 \times 10^{-8} \;\rm V/m$ .

Learn more about the laser intensity here:

link

Answer from: Benitez0212

a) 318.2 W/m^2

b) 2.5 x 10^-4 J

c) 1.55 x 10^-8 v/m

Explanation:

Power of laser P = 1 mW = 1 x 10^-3 W

exposure time t = 250 ms = 250 x 10^-3 s

If beam diameter = 2 mm = 2 x 10^-3 m

then

cross-sectional area of beam A = $\pi d^{2} /4$ = (3.142 x $(2*10^{-3} )^{2}$ )/4

A = 3.142 x 10^-6 m^2

a) Intensity I = P/A

where P is the power of the laser

A is the cros-sectional area of the beam

I = ( 1 x 10^-3)/(3.142 x 10^-6) = 318.2 W/m^2

b) Total energy delivered E = Pt

where P is the power of the beam

t is the exposure time

E = 1 x 10^-3 x 250 x 10^-3 = 2.5 x 10^-4 J

c) The peak electric field is given as

E = $\sqrt{2I/ce_{0} }$

where I is the intensity of the beam

E is the electric field

c is the speed of light = 3 x 10^8 m/s

$e_{0}$ = 8.85 x 10^9 m kg s^-2 A^-2

E = $\sqrt{2*318.2/3*10^8*8.85*10^9}$ = 1.55 x 10^-8 v/m

Answer from: Quest

if the person is shown to have +90n, then ans is -10n.

if the person is shown to have -90n, then ans is +10n.

Answer from: Quest

No bc a lot of things r still theories n unproven

Other questions on the subject: Physics

Physics, 21.06.2019 20:30, klocke2001

Determine the amount of work done when a crane lifts a 100-n block form 2m above the ground to 6m above the ground

Answers: 1

continue

Physics, 21.06.2019 20:30, dthompson365

Ahorizontal wire is tied to supports at each end and vibrates in its second-overtone standing wave. the tension in the wire is 5.00 n, and the node-to-node distance in the standing wave is 6.28 cm. (a) what is the length of the wire? (b) a point at an anti- node of the standing wave on the wire travels from its maximum upward displacement to its maximum downward displacement in 8.40 ms. what is the wire's mass?

Answers: 3

continue

Physics, 21.06.2019 23:30, ladawnrowles005

Two technicians are discussing a resistance measurement between the can-h and can-l wires. technician a says this measurement should be done with the ignition switch in the "run" position. technician b states that a measurement of 0 ohms indicates an open in the network. which technician is correct?

Answers: 3

continue

Physics, 22.06.2019 05:30, triddi666

If gases like carbon dioxide and methane make up less than 1% of the total atmosphere, why is it important for scientists to monitor changes in percentages of these gases?

Answers: 1

continue

You know the right answer?

Lasers are classified according to the eye-damage danger they pose. Class 2 lasers, including many l...