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The intensity of radiation emanating from a nuclear event is measured on an exponential scale where the second and fourth points indicate intensities of 25 and 625, respectively. On that scale, what would the intensity at the third point be?
  • a)
    50
  • b)
    75
  • c)
    125
  • d)
    250
  • e)
    312.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The intensity of radiation emanating from a nuclear event is measured ...
Step 1: Question statement and Inferences
We are given that the scale is an exponential scale. This means that every term on this scale is equal to the previous term multiplied by a fixed value.
Step 2 & 3: Simplifying the fraction and calculating the final answer
We are given that 2nd term on the scale = 25 = 52
4th term on the scale = 625 = 54
From here, we can discern the pattern that:
The nth term on the scale = 5n
Thus, the 3rd term on the scale = 53 = 125
Answer: Option (C)
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