Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

Question

Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is (A) (1/4) (B) (3/4) (C) (1/2) (D) 1

Tardigrade Admin · Accepted Answer

After two half lives (1/4) th fraction of nuclei will remain undecayed. Or, (3/4) th fraction will decay. Hence, the probability that a nucleus decays in two half lives is (3/4)

Q. Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{1}{2}$

1

After two half lives $\frac{1}{4}$ th fraction of nuclei will remain undecayed. Or, $\frac{3}{4}$ th fraction will decay. Hence, the probability that a nucleus decays in two half lives is $\frac{3}{4}$

Q. Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

41​

43​

21​

1

After two half lives 41​ th fraction of nuclei will remain undecayed. Or, 43​ th fraction will decay. Hence, the probability that a nucleus decays in two half lives is 43​

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{1}{2}$

After two half lives $\frac{1}{4}$ th fraction of nuclei will remain undecayed. Or, $\frac{3}{4}$ th fraction will decay. Hence, the probability that a nucleus decays in two half lives is $\frac{3}{4}$