Neodymium Yag

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

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Difficult Physics Question..Need Help!?

If anyone can help me solve these questions it would be appreciated.

Question 1
What is the frequency of an X-ray with wavelength 0.09 nm?

Question 2
Pulsed lasers are used in science and medicine to produce short bursts of EM energy. If a Neodymium-YAG laser produces infrared light with a wavelength of 1052 nm, how many wavelenths (to the nearest whole number) are contained in a short burst of 59 ps?

use frequency=velocity of light/wavelength for 1st
and for second use
no. of wavelengths=velocity of light*time given/wavelength