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1hannacarson
28.01.2020 •
Physics
Very short pulses of high-intensity laser beams are used to repair detached portions of the retina of the eye. the brief pulses of energy absorbed by the retina welds the detached portion back into place. in one such procedure, a laser beam has a wavelength of 810 nm and delivers 250 mw of power spread over a circular spot 510 μm in diameter. the vitreous humor (the transparent fluid that fills most of the eye) has an index of refraction of 1.34.
a) if the laser pulses are each 1.50 ms long, how much energy is delivered to the retina with each pulse? express your answer with the appropriate units
b) what average pressure would the pulse of the laser beam exert at normal incidence on a surface in air if the beam is fully absorbed? express your answer with the appropriate units.
c) what are the wavelength of the laser light inside the vitreous humor of the eye? express your answer with the appropriate units.
d) what is the frequency of the laser light inside the vitreous humor of the eye? express your answer with the appropriate units.
e) what is the maximum value of the electric field in the laser beam? express your answer with the appropriate units.
f) what is the maximum value of the magnetic field in the laser beam?
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Ответ:
3661.3 N/m
Explanation:
we can solve the problem by using the law of conservation of energy.
Initially, all the energy of the system is stored as elastic potential of the spring, which is given by
where k is the spring constant and x=1.69 cm=0.0169 m is the compression of the spring.
Later, when the spring is released, all the energy is converted into gravitational potential energy of the toy, which at its highest point is equal to
where m=104 g=0.104 kg is the mass of the toy, g=9.8 m/s^2 is the acceleration of gravity, and h=51.3 cm=0.513 m is the height reached by the toy.
Using the conservation of energy, we can write: