A radioactive material has activity 5×10¹² Bq. Each disintegration releases 4 MeV of energy and all of that energy is absorbed within the sample. Take 1 eV = 1.6×10⁻¹⁹ J. The thermal power generated is:
Options

Question

A radioactive material has activity 5×10¹² Bq. Each disintegration releases 4 MeV of energy and all of that energy is absorbed within the sample. Take 1 eV = 1.6×10⁻¹⁹ J. The thermal power generated is:

Options

G1 Physics · Accepted Answer

Energy released per decay: 4 MeV = 4×10⁶ eV. Convert to joules: E(decay) = 4×10⁶×1.6×10⁻¹⁹ = 6.4×10⁻¹³ J. Activity gives decays per second: A = 5×10¹² s⁻¹. Power: P = A×E(decay) = 5×10¹²×6.4×10⁻¹³ = 3.2 W. Correct option: C.