Radioisotope X decays to the stable isotope Y. The graph shows how the mass of Y present in a sample varies with time. Chart/Diagram Description: Type: Line graph. X-axis: Labeled "time", with marked points at 0, t₁, t₂, and t₃. The axis extends horizontally with an arrow indicating increasing time. Y-axis: Labeled "mass of Y", with marked points at 0, M/4, M/2, and M. The axis extends vertically with an arrow indicating increasing mass. Curve: A smooth curve starts at the origin (0, 0), increases rapidly initially, and then levels off asymptotically towards the value M on the mass of Y axis as time increases. Annotations: A dashed line connects the time point t₁ on the x-axis vertically up to the curve and then horizontally left to the mass of Y axis, indicating that at time t₁, the mass of Y is M/4. A dashed line connects the time point t₂ on the x-axis vertically up to the curve and then horizontally left to the mass of Y axis, indicating that at time t₂, the mass of Y is M/2. A dashed line extends horizontally from the mass value M on the y-axis to the right, indicating the asymptotic limit of the mass of Y. A dashed line extends vertically upwards from the time point t₃ on the x-axis. The curve appears to have reached the value M at or before time t₃. Question: Which time interval gives the half-life of X? Options: A: t₂ − t₁ B: t₃ − t₂ C: t₂ D: ½ t₃---Question Number: 36 Question Stem: Radioisotope X decays to the stable isotope Y. The graph shows how the mass of Y present in a sample varies with time. Chart/Diagram Description: - Type: Line graph. - X-axis: Labeled "time", with marked points at 0, t₁, t₂, and t₃. The axis extends horizontally with an arrow indicating increasing time. - Y-axis: Labeled "mass of Y", with marked points at 0, M/4, M/2, and M. The axis extends vertically with an arrow indicating increasing mass. - Curve: A smooth curve starts at the origin (0, 0), increases rapidly initially, and then levels off asymptotically towards the value M on the mass of Y axis as time increases. - Annotations: - A dashed line connects the time point t₁ on the x-axis vertically up to the curve and then horizontally left to the mass of Y axis, indicating that at time t₁, the mass of Y is M/4. - A dashed line connects the time point t₂ on the x-axis vertically up to the curve and then horizontally left to the mass of Y axis, indicating that at time t₂, the mass of Y is M/2. - A dashed line extends horizontally from the mass value M on the y-axis to the right, indicating the asymptotic limit of the mass of Y. - A dashed line extends vertically upwards from the time point t₃ on the x-axis. The curve appears to have reached the value M at or before time t₃. Question: Which time interval gives the half-life of X? Options: A: t₂ − t₁ B: t₃ − t₂ C: t₂ D: ½ t₃ Other Relevant Text: © UCLES 2023 0625/21/O/N/23 191