High-power lasers are used to compress a plasma (a gas of charged particles) by radiation pressure. A laser generating radiation pulses with peak power 1700 MW is focused onto 1.1 mm² of high-electron-density plasma. Find the pressure exerted on the plasma if the plasma reflects all the light beams directly back along their paths.
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- (11%) Problem 7: Lasers can be constructed to produce an extremely high-intensity electromagnetic wave for a very brief time. Such lasers are called "pulsed lasers". They are used to ignite nuclear fusion, for example. Such a laser may produce an electromagnetic wave with a maximum electric field strength of 0.62 x 10 V/m for a time of 1.2 ns. Randomized Variables E, = 0.62 x 1011 V/m t = 1.2 ns E A 33% Part (a) What is the maximum magnetic field strength in the wave B0, in teslas? A 33% Part (b) What is the intensity of the beam I, in watts per square meter? D A 33% Part (c) How much energy, in kilojoules, does one pulse of the laser beam deliver to a 1.00 mm- area? Grade S E = Deductio PotentialA laser emits 5.73 × 1015 photons per second in a beam of light that has a diameter of 2.30 mm and a wavelength of 514.5 nm. Determine (a) the average electric field strength and (b) the average magnetic field strength for the electromagnetic wave that constitutes the beam. (a) Number M. (b) Number i Units UnitsCalculate the momentum of a 4.10 x 10^2 nm photon of violet light.
- A light beam of wavelength λ= 500 nm, beam diameter 5 mm and intensity I is propagating in a medium. The absorption cross section of the medium is 2.3×10-19 cm-2 and upper-level lifetime is 10 µs. Calculate the power of the light beam that make the absorption coefficient of the medium (α) decays to 50% of its initial value (αo).There are several proteins that exist in nature that are fluorescent, which means they absorb visible light or other electromagnetic radiation and reemit that light, usually at a longer wavelength. One of the more prevalent fluorescent proteins is GFP, or green fluorescent protein, which emits bright green fluorescent light when exposed to light in the blue to ultraviolet region of the electromagnetic spectrum (see the photo). The main absorption, or excitation, wavelength for one type of GFP is 395 nm. (a) What is the energy (in eV) of a photon in this absorbed light? The emission spectrum of the light from the GFP peaks near 509 nm, which is in the shorter wavelength (higher energy) portion of the green part of the visible spectrum. (b) What is the energy (in eV) of a photon in the emitted light? (c) If the emitted light corresponded to the longest wavelength in the Balmer series from a hydrogen-like atom, what would be the effective value of Z for this atom? (Note: Z will not be a…A helium-neon laser produces a beam of diameter 1.75 mm, delivering 3.15 x 1018 photons/s. Each photon has a wavelength of 633 nm. (a) Calculate the amplitude of the electric field inside the beam. kv/m (b) Calculate the amplitude of the magnetic field inside the beam. μT (c) If the beam shines perpendicularly onto a perfectly reflecting surface, what force does it exert on the surface? nN (d) If the beam is absorbed by a block of ice at 0°C for 2.10 h, what mass of ice is melted? g
- High-power lasers are used to compress a plasma (a gas of charged particles) by radiation pressure. A laser generating radiation pulses with peak power 1900 MW is focused onto 1.2 mm2 of high-electron-density plasma. Find the pressure exerted on the plasma if the plasma reflects all the light beams directly back along their paths. Number i 1.2E5 * Units N/m^2 or PaAssuming the energy density of the cosmic background radiation of the Big Bang has the value 3.75 ✕ 10−14 J/m3, what is the corresponding electric field amplitude (in mV/m)?How fast must an electron be moving if all its kinetic energy is lost to a single x-ray photon with the following characteristics? (a) The photon has a wavelength of 3.55 x 10-8 m near the high end of the x-ray electromagnetic spectrum. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.c (b) The photon has a wavelength of 3.55 x 10-13 m near the low end of the x-ray electromagnetic spectrum,