(B) For a first-order radioactive decay,the half-life $(t_{1/2})$ is given by the formula: $t_{1/2} = \frac{0.693}{\lambda}$ Given the rate constant $

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(B) For a first-order radioactive decay,the half-life $(t_{1/2})$ is given by the formula: $t_{1/2} = \frac{0.693}{\lambda}$ Given the rate constant $\lambda = 231 \ sec^{-1}$. Substituting the value: $t_{1/2} = \frac{0.693}{231 \ sec^{-1}} = 0.003 \ sec = 3.0 \times 10^{-3} \ sec$ Therefore,the correct option is $B$.

Class 12 Chemistry Nuclear Chemistry Rate of decay and Half-life

Medium

The half-life of a radioactive disintegration $(A \to B)$ having a rate constant of $231 \ sec^{-1}$ is:

A
$3.0 \times 10^{-2} \ sec$
B
$3.0 \times 10^{-3} \ sec$
C
$3.3 \times 10^{-2} \ sec$
D
$3.3 \times 10^{-3} \ sec$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Chemistry Questions

Chapter

Nuclear Chemistry

Subtopic

Rate of decay and Half-life

If $3/4$ of a radioactive element disintegrates in $2$ hours,its half-life would be

Medium

View Solution

$^{14}C$ has a half-life of $5760 \ years$. $100 \ mg$ of a sample containing $^{14}C$ is reduced to $25 \ mg$ in ......... $years$.

Medium

View Solution

The half-life of the radio element $_{83}Bi^{210}$ is $5 \ days$. Starting with $20 \ g$ of this isotope,the amount remaining after $15 \ days$ is ......... $g$. (in $g$)

Medium

View Solution

$8 \ g$ of a radioactive substance is reduced to $0.5 \ g$ after $1 \ hour$. The ${t_{1/2}}$ of the radioactive substance is ......... $\min$.

Medium

View Solution

The radioisotope,tritium $({}_1^3H)$ has a half-life of $12.3 \ years$. If the initial amount of tritium is $32 \ mg$,how many milligrams of it would remain after $49.2 \ years$?

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The half-life of a radioactive disintegration $(A \to B)$ having a rate constant of $231 \ sec^{-1}$ is:

Similar Questions

If $3/4$ of a radioactive element disintegrates in $2$ hours,its half-life would be

$^{14}C$ has a half-life of $5760 \ years$. $100 \ mg$ of a sample containing $^{14}C$ is reduced to $25 \ mg$ in ......... $years$.

The half-life of the radio element $_{83}Bi^{210}$ is $5 \ days$. Starting with $20 \ g$ of this isotope,the amount remaining after $15 \ days$ is ......... $g$. (in $g$)

$8 \ g$ of a radioactive substance is reduced to $0.5 \ g$ after $1 \ hour$. The ${t_{1/2}}$ of the radioactive substance is ......... $\min$.

The radioisotope,tritium $({}_1^3H)$ has a half-life of $12.3 \ years$. If the initial amount of tritium is $32 \ mg$,how many milligrams of it would remain after $49.2 \ years$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module