The half-lives of two radioactive nuclides A | vedclass

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

Question

(B) For $A$,$t_{1/2} = 1 \ min$. After $4 \ min$,the number of half-lives $n_A = \frac{4}{1} = 4$. Fraction of $A$ remaining $= (1/2)^4 = 1/16$. Fract

Vedclass · Accepted Answer

$5:4$

Vedclass · Answer

(B) For $A$,$t_{1/2} = 1 \ min$. After $4 \ min$,the number of half-lives $n_A = \frac{4}{1} = 4$. Fraction of $A$ remaining $= (1/2)^4 = 1/16$. Fraction of $A$ disintegrated $= 1 - 1/16 = 15/16$. For $B$,$t_{1/2} = 2 \ min$. After $4 \ min$,the number of half-lives $n_B = \frac{4}{2} = 2$. Fraction of $B$ remaining $= (1/2)^2 = 1/4$. Fraction of $B$ disintegrated $= 1 - 1/4 = 3/4$. Ratio of disintegrated weights of $A$ and $B = \frac{15/16}{3/4} = \frac{15}{16} 	imes \frac{4}{3} = \frac{5}{4}$ or $5:4$.

The half-lives of two radioactive nuclides $A$ and $B$ are $1 \ min$ and $2 \ min$ respectively. Equal weights of $A$ and $B$ are taken separately and allowed to disintegrate for $4 \ min$. What will be the ratio of weights of $A$ and $B$ disintegrated?

Similar Questions

Which of the following ions forms a highly soluble hydroxide in water?

Phenol reacts with $CHCl_3$ and $NaOH$ at $340 \ K$ to give .......

If the ratio of diameters,lengths and Young's moduli of steel and brass wires shown in the figure are $p, q$ and $r$ respectively,then the corresponding ratio of increase in their lengths would be

The molar heat capacity in a process of a diatomic gas,if it does a work of $\frac{Q}{4}$ when a heat of $Q$ is supplied to it,is:

Which of the following is a conjugate acid-base pair?

Vedclass Test Series

Exam Paper Generator

Online Exam Module