College Physics
3rd Edition
ISBN: 9780134201962
Author: Randall D. Knight, Brian Jones, Stuart Field
Publisher: Addison-Wesley
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Chapter 15, Problem 37P
To determine
The intensity of light during the pulse.
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Scientists are working on a new technique to kill cancer cells by zapping them with ultrahighenergy (in the range of 1012 W) pulses of light that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk 5.0 µm in diameter, with the pulse lasting for 4.0 ns with an average power of 2.0 x 1012 W. We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse. (a) How much energy is given to the cell during this pulse? (b) What is the intensity (in W/m2 ) delivered to the cell? (c) What are the maximum values of the electric and magnetic fields in the pulse?
Scientists are working on a new technique to kill cancer cells by zapping them
with ultrahigh-energy (in the range of 1.00×1012 W) pulses of light that last for
an extremely short time (a few nanoseconds). These short pulses scramble the
interior of a cell without causing it to explode, as long pulses would do. We can
model a typical such cell as a disk 5.00 μm in diameter, with the pulse lasting
for 4.00 ns with an average power of 2.00×1012 W. We shall assume that the
energy is spread uniformly over the faces of 100 cells for each pulse.
I 1.00×1021 W/m²
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Part C
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What is the maximum value of the electric field in the pulse?
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Emax
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V/m
What is the maximum value of the magnetic field in the pulse?
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Bmax =
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Many varieties of lasers emit light in the form of pulses rather than a steady beam. A tellurium–sapphire laser can produce light at a wavelength of 800 nm in ultrashort pulses that last only 4.00 x 10-15 s (4.00 femtoseconds, or 4.00 fs). The energy in a single pulse produced by one such laser is 2.00 µJ = 2.00 x 10-6 J, and the pulses propagate in the positive x-direction. Find (a) the frequency of the light; (b) the energy and minimum energy uncertainty of a single photon in the pulse; (c) the minimum frequency uncertainty of the light in the pulse; (d) the spatial length of the pulse, in meters and as a multiple of the wavelength; (e) the momentum and minimum momentum uncertainty of a single photon in the pulse; and (f) the approximate number of photons in the pulse
Chapter 15 Solutions
College Physics
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