Question:
The half-life periods of two radioactive materials A and B are 1500 years and 1200 years respectively. If their mean life periods are \( \tau_A \) and \( \tau_B \) respectively, then the value of the ratio \( \frac{\tau_A}{\tau_B} \) is
The half-life periods of two radioactive materials A and B are 1500 years and 1200 years respectively. If their mean life periods are \( \tau_A \) and \( \tau_B \) respectively, then the value of the ratio \( \frac{\tau_A}{\tau_B} \) is
Show Hint
Mean life is directly proportional to half-life.
Updated On: Apr 21, 2026
- \( \frac{5}{4} \)
- \( \frac{2}{3} \)
- \( \frac{3}{5} \)
- \( \frac{5}{7} \)
- \( \frac{2}{5} \)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Concept:
\[
\tau = \frac{T_{1/2}}{\ln 2}
\]
Step 1: Ratio.
\[ \frac{\tau_A}{\tau_B} = \frac{T_{1/2,A}}{T_{1/2,B}} = \frac{1500}{1200} = \frac{5}{4} \]
Step 1: Ratio.
\[ \frac{\tau_A}{\tau_B} = \frac{T_{1/2,A}}{T_{1/2,B}} = \frac{1500}{1200} = \frac{5}{4} \]
Was this answer helpful?
0
0
Top KEAM Physics Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:
View More Questions
Top KEAM Nuclei Questions
- The half-life of thorium X is 3.64 days. After how many days will 0.1 of the mass of a sample of the substance remain undecayed?
- A radioactive sample at any instant has its disintegration rate $5000$ disintegrations per minute. After $5\, min$, the rate becomes $1250$ disintegration per minute. Then, its decay constant (per minute) is
- Two nuclei have their mass numbers in the ratio of $ 1:3 $ . The ratio of their nuclear densities would be
- Select the true statement from the following. Nuclear force is
- The energy released in the fission of $ 1 \,kg $ of $ _{92}{{U}^{235}} $ is (energy per fission = 200 MeV)
View More Questions
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions