Question

Количество радиоактивных атомов за 36 суток уменьшилось в 8 раза. определите период полураспада

Answer 1

Закон радиоактивного распада
N=N0 2^-t/T
N/N0=2^-t/T
Активность уменьшилась в 8 раз
1/8=2^-t/T
2^3=2^t/T
3=36/T
T=36/3=12суток
Ответ 12 суток

Answer 2

Calculating the Half-Life Period

To calculate the half-life period, we can use the formula:

N(t) = N0 * (1/2)^(t/T)

Where: - N(t) = the quantity of radioactive atoms at time t - N0 = the initial quantity of radioactive atoms - t = the elapsed time - T = the half-life period

Given that the quantity of radioactive atoms decreased by 8 times in 36 days, we can use the formula to find the half-life period.

Using the given information, we have: - N(t) = 1/8 * N0 - t = 36 days

Plugging these values into the formula, we can solve for T.

Calculation

1/8 * N0 = N0 * (1/2)^(36/T)

Solution

Solving for T, we find: T = 36 / log2(8) T ≈ 36 / 3 T ≈ 12 days

Therefore, the half-life period is approximately 12 days.