On a semi-log graph where the -axis is (activity in Bq) and the -axis is time (in hours)

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

On a semi-log graph where the yy-axis is log⁡10A\log_{10}A (activity in Bq) and the xx-axis is time tt (in hours), a straight line passes through the points (t1=2 h,  log⁡10A1=3.2)(t_1 = 2\,\text{h},\; \log_{10}A_1 = 3.2) and (t2=8 h,  log⁡10A2=2.0)(t_2 = 8\,\text{h},\; \log_{10}A_2 = 2.0). (a) (i) Determine λ\lambda. (b) (ii) Find t1/2t_{1/2}."}], (c) Two radioactive nuclides P and Q are represented by straight lines on the same semi-logarithmic plot of ln⁡N\ln N against time. The line for P is steeper than that for Q. Which nuclide has the longer half-life? Justify your answer in one sentence. ", "options": [], "parts": [], "kuas_level": "Understanding", "difficulty": "Intermediate"}]}

Related theory

Browse the problem library