Proton-beam therapy involves firing high-energy protons at a tumor. the protons

Question

Proton-beam therapy involves firing high-energy protons at a tumor. the protons burrow into the tumor, coming to rest. The change in the kinetic energy of the protons goes into the tumor, bursting its DNA, thus killing the cells. In one case, it is desired that 0.1 J of proton energy be deposited in a tumor. To create the proton beam, the protons are accelerated from rest through a 10 MV potential difference. What is the total charge of the protons that must be fired at the tumor to deposit the required energy? Explain.

Explanation / Answer

Given,

Proton Energy = 0.10 J

Potential Difference = 10 MV = 10 000 000 V

The equation needed for this question is:

E = q V

Charge, q= E/v = 0.10/10000000 = 0.1 x 10-7 = 1 micro Coulumb.

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