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GATE 2024 BM – Question 54

Medical Imaging Systems · Nuclear Imaging · 2 marks · Numerical answer

For the source’s ideal inverse-square radiation model, a person one metre from a 4000-curie source receives a specified lethal dose in five minutes. At three metres, how many minutes give the same dose? Give an integer.

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Correct answer: 44 to 46

Explanation

Dose rate from the ideal point source scales as 1/r². At three times the distance, rate is one ninth, so equal accumulated dose takes nine times as long. Thus 5×9=45 minutes. This is the mathematical exam model with unchanged source and no shielding.

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