Scientists are working on a new technique to kill cancer cells by zapping them w

Question

Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 1×1012 Watts, 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 5.31 Micrometers , in diameter, with the pulse lasting for 4.9 nanoseconds , with an average power of 2.75×1012 Watts. We shall assume that the energy is spread uniformly over the faces of 175 cells , for each pulse.

1.How much energy is given to each cell during this pulse? (in Joules)

2.What is the intensity (in W/m^2) delivered to each cell?

3.What is the maximum value of the electric field in the pulse? (in V/m)

4.What is the maximum value of the magnetic field in the pulse? (in teslas)

Explanation / Answer

1) 2.0*10^12W * 4.0*10^-9 s= 8000J/100cells= 80J

2) I=W/m^2; I=2*10^12 / {(2.5*10^-6)^2*pi}= 1.02*10^21

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