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Radioactivity Source Metallic Spheres

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A radioactive source in the form of a metallic sphere of radius 10^-2 m emits beta particles at the rate of 10^10 particles per second. The source is electrically insulated. What is the time required for its potential to be raised by 4 V assuming 50% of the emitted beta particles escape the source ?

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Radioactivity source for metallic spheres.

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