If the half-life period of a substance is 5 t | vedclass

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

Question

(A) The half-life period $(T_{1/2})$ is $5 	ext{ years}$.The initial amount $(N_0)$ is $64 	ext{ g}$.The total time $(t)$ is $15 	ext{ years}$.The

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) The half-life period $(T_{1/2})$ is $5 	ext{ years}$.The initial amount $(N_0)$ is $64 	ext{ g}$.The total time $(t)$ is $15 	ext{ years}$.The number of half-lives $(n)$ is calculated as $n = \frac{t}{T_{1/2}} = \frac{15}{5} = 3$.The amount left $(N)$ is given by the formula $N = N_0 	imes (\frac{1}{2})^n$.Substituting the values: $N = 64 	imes (\frac{1}{2})^3 = 64 	imes \frac{1}{8} = 8 	ext{ g}$.Therefore, the amount left after $15 	ext{ years}$ is $8 	ext{ g}$.

If the half-life period of a substance is $5 \text{ years}$, then the total amount of the substance left after $15 \text{ years}$, when the initial amount is $64 \text{ g}$, is: (in $\text{g}$)

Similar Questions

$A$ fair die is thrown up to $20$ times. The probability that on the $10^{th}$ throw,the fourth six appears is:

The mean and variance of a random variable $X$ having a binomial distribution are $4$ and $2$ respectively,then $P(X = 1)$ is

If $X$ has a binomial distribution,$B(n, p)$ with parameters $n$ and $p$ such that $P(X = 2) = P(X = 3)$,then $E(X)$,the mean of variable $X$,is

If $12$ identical balls are to be placed in $3$ distinct boxes,then the probability that one of the boxes contains exactly $3$ balls is:

The probability that a person wins a prize on a lottery ticket is $\frac{1}{4}$. If he purchases $5$ lottery tickets at random,then the probability that he wins at least one prize is

Vedclass Test Series

Exam Paper Generator

Online Exam Module