Question:
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
Updated On: Oct 25, 2024
- 15 minutes
- 30 minutes
- 45 minutes
- 4 hour
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): 30 minutes
\(N=N_{0}\left(\frac{1}{2}\right)^{n}\)
or \(\frac{N_{0}}{16}=N_{0}\left(\frac{1}{2}\right)^{n}\)
or \(n=4\)
Halflife \(t_{1/2}=\frac{t}{n}=\frac{2}{4}=\frac{1}{2} h\)
T=0.5hour=30 minutes.
\(N=N_{0}\left(\frac{1}{2}\right)^{n}\)
or \(\frac{N_{0}}{16}=N_{0}\left(\frac{1}{2}\right)^{n}\)
or \(n=4\)
Halflife \(t_{1/2}=\frac{t}{n}=\frac{2}{4}=\frac{1}{2} h\)
T=0.5hour=30 minutes.
Was this answer helpful?
1
2
Top Questions on Half life
- The bond angles H-O-N and O-N-O in the planar structure of nitric acid molecule are respectively:
- Observe the following reaction. This reaction represents: \[ 4HCl + O_2 \xrightarrow{CuCl_2, 723K} 2Cl_2 + 2H_2O \]
- A wooden plant accumulates $10 𝑚𝑔 𝑘𝑔^{−1}$ of $^{14}C$ during its life span. A fossil of this plant was discovered and contains $2.5 𝑚𝑔 𝑘𝑔^{−1}$ of $^{14}C$. The age of this fossil at the time of discovery is years (rounded off to the nearest integer).
(Use 5730 years as half-life of $^{14}C$) - Half life of a first order reaction is \(36\;hr\). Find out time (in hour) required for concentration of reactant to get reduced by \(90\%\).
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:
- JEE Main - 2023
- Physics
- Half life
View More Questions
Questions Asked in BITSAT exam
- What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
- BITSAT - 2025
- Vector Algebra
- The sum of the first 30 terms of an arithmetic progression is 930. If the first term is 2, what is the common difference of the progression?
- BITSAT - 2025
- Arithmetic Progression
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and equal, then:
- BITSAT - 2025
- Quadratic Equations
- If log$_{10}$(x + 1) = 2, what is the value of x?
- BITSAT - 2025
- Fundamental Theorem of Calculus
- Which number comes next in the series? 3, 6, 11, 18, 27, ?
- BITSAT - 2025
- Number Series
View More Questions
Concepts Used:
Half-life
The amount of time taken for half of a particular sample to react is known as Half-life.
Half-Life Formula:
We can describe exponential decay by any of the three formulas
