Question:medium
1600 atoms of a radioactive substance with a half life period \(T\) start decaying at \(t=0\). The time during which 1550 atoms would have decayed is
1600 atoms of a radioactive substance with a half life period \(T\) start decaying at \(t=0\). The time during which 1550 atoms would have decayed is
Show Hint
Instead of formulas, just keep halving the number: \(1600 \to 800 \to 400 \to 200 \to 100 \to 50\). It took 5 steps, so 5 half-lives.
Updated On: Jun 24, 2026
- \(t = 3T\)
- \(t = 6T\)
- \(t = 2T\)
- \(t = 5T\)
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Radioactive Decay
- A radioactive nucleus decays as follows: \[ X \to X_1 \to X_2 \to X_3 \to X_4 \] If the mass number and atomic number of \( X_4 \) are 172 and 69 respectively, the mass number and atomic number of \( X \) are:
- WBJEE - 2025
- Physics
- Radioactive Decay
- For bacterial growth in a cell culture, growth law is very similar to the law of radioactive decay. Which of the following graphs is most suitable to represent bacterial colony growth? Where \( N \) - Number of Bacteria at any time, \( N_0 \) - Initial number of Bacteria.
- JEE Main - 2025
- Chemistry
- Radioactive Decay
- A radioactive nucleus \( n_2 \) has 3 times the decay constant as compared to the decay constant of another radioactive nucleus \( n_1 \). If the initial number of both nuclei are the same, what is the ratio of the number of nuclei of \( n_2 \) to the number of nuclei of \( n_1 \), after one half-life of \( n_1 \)?
- JEE Main - 2025
- Physics
- Radioactive Decay
- A radioactive material P first decays into Q and then Q decays to non-radioactive material R. Which of the following figure represents time dependent mass of P, Q and R?
- JEE Main - 2025
- Physics
- Radioactive Decay
- Want to practice more? Try solving extra ecology questions todayView All Questions
