Decay with a known half-life: amount left or time taken
This type of question, asked 6 times: 3 May 2023 S1, 4 May 2023 S1, 4 May 2023 S2, 11 May 2023 S2, 22 Apr 2025 S2, 15 May 2026 S1. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
3 May 2023 S1
120If the half-life of substance is 5 years, then the total amount of the substance left after 15 years, when initial amount is 64 gms isTap an option to check your answer.
Question 2
4 May 2023 S1
146A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the open air loses half its moisture during the first hour, then the time , in which 99% of the moisture will be lost, isTap an option to check your answer.
Question 3
4 May 2023 S2
127The decay rate of radium is proportional to the amount present at any time t. If initially 60 gms was present and half life period of radium is 1600 years, then the amount of radium present after 3200 years isTap an option to check your answer.
Question 4
11 May 2023 S2
104An ice ball melts at the rate which is proportional to the amount of ice at that instant. Half of the quantity of ice melts in 15 minutes. is the initial quantity of ice. If after 30 minutes the amount of ice left is , then the value of k isTap an option to check your answer.
Question 5
22 Apr 2025 S2
123A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet, hung in the open air, loses half its moisture during the first hour, then of the moisture will be lost in hours.Tap an option to check your answer.
Question 6
15 May 2026 S1
85An ice ball melts. The rate at which it melts is proportional to the amount of the ice at that time. If half quantity of ice melts in minutes, then the time when part of original amount of the ice is left is:Tap an option to check your answer.