Yag Laser Fits

Physics questions! Please help!?

1)Pulsed lasers used in science and medicine produce very short bursts of electromagnetic energy. If the laser light wavelength is 1062 nm (this corresponds to a Neodymium-YAG laser), and the pulse lasts for 22 picoseconds, how many wavelengths are found within the laser pulse?

How short would the pulse need to be to fit only one wavelength?
____ fs

2)partscoretotalsubmissions1--10/10Estimate the wavelength for 2.1 GHz cell phone reception.
_______m

3)(a) How long did it take for a message sent from Earth to reach the first astronauts on the Moon?
_____s
(b) How long will it take for a message from Earth to reach the first astronauts who arrive on Jupiter; assume Jupiter is at its closest approach to Earth (629 106 km)?
___min

For electromagnetic waves, in general, λ = ct = c/f.

1) Time required for the wave to undergo one full cycle T = λ/c = 1 062 × 10⁻⁹ / 2.998 × 10⁸ = 3.542 × 10^-15 s = 3.542 fs. Thus, the number of complete cycles in an interval lasting 22 ps = 22 × 10⁻¹² s is 22 × 10⁻¹²/3.542 × 10^-15 s = 6 210. Since one wavelength is related to period in a 1:1 ratio, this is also the number of wavelengths to be found in 22 ps. Clearly, time required to fit a single wavelenght is just wave period, found above.

2) λ = c/f = 2.998 × 10⁸/ 2.1 × 10⁹ = 0.1428 m

3) a) t = d/v = 3.8 × 10⁸ / 2.998 × 10⁸ = 1.268 s
b) t = 6.29 × 10¹¹/ 2.998 × 10⁸ = 2.089 × 10³ s (almost 35 min.)

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Physics Questions, please help!?

1)Pulsed lasers used in science and medicine produce very short bursts of electromagnetic energy. If the laser light wavelength is 1062 nm (this corresponds to a Neodymium-YAG laser), and the pulse lasts for 22 picoseconds, how many wavelengths are found within the laser pulse?

How short would the pulse need to be to fit only one wavelength?
___fs

2) A 1.30 m long FM antenna is oriented parallel to the electric field of an EM wave. How large must the electric field be to produce a 1.20 mV (rms) voltage between the ends of the antenna?
____V/m (rms)
What is the rate of energy transport per square meter?
____W/m2

3) The average intensity of a particular TV station's signal is 1.2 10-13 W/m2 when it arrives at a 33 cm-diameter satellite TV antenna.
(a) Calculate the total energy received by the antenna during 7.0 hours of viewing this station's programs.
_____J
(b) What are the amplitudes of the E and B fields of the EM wave?
___E V/m
_______
________

Ok, let's go on with the first problem and the other ones :

1) wavelenght = 1062 nm = 1062*10^-9 meters

time = 22*10^-12 seconds

how many wavelengths are found within the laser pulse?

1062*10^-9 / 22*10^-12 = 48272.7 aprox

How short would the pulse need to be to fit only one wavelength?

1062*10^-9 seconds = 1.062*10^-6 s = 1.062 seconds

2) Electromagnetic wave :

E = electrical field

E*distance = Voltage

E*1.3 = 1.2*10^-3

E = 0.92*10^-3 (V / m)

energy = Eo*E^2

Eo = 8.85*10^-12

energy = 8.85*10^-12*(0.92*10^-3)^2 = 7.5*10^-19 J

Intensity of the wave = rate of energy transport :

Intensity = 1/2*Eo*c*E^2

c = speed of light

Intesity = 1/2*8.85*10^-12*3*10^8*(0.92*10^-3)^2

intensity = 11.24*10^-12 W / m^2

3) Intensity = 1.2 10-13 W/m^2

Power = Intensity*area = 1.2 10^-13*pi*(33/200)^2

Power =0.11*10^-13 Watts

Energy in 7.0 hours :

Power*time = 0.11*10^-12*7*3600 = 27.72*10^-10 J

To find the amplitudes of Em and Bm :

Intensity = 1.2 10^-13 = 1/2*Eo*c*(Em^2)

Em = 9.48*10^-6 (V/m)

remembering = Em = Bm*c

Bm = 3.16*10^-14 (Tesla)

Hope that helps