The ratio of half-life times of two elements $A$ and $B$ is $\frac{{{T_A}}}{{{T_B}}}$ . The ratio of respectively decay constants $\frac{{{\lambda _A}}}{{{\lambda _B}}}$ is

$\frac{{{T_A} + {T_B}}}{{{T_A}}}$

$\frac{{{T_A} - {T_B}}}{{{T_A}}}$

JEE PHYSICS MCQ: NUCLEI

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Understanding +4 | -1

The ratio of half-life times of two elements

A

and

B

\frac{{{T_A}}}{{{T_B}}}

. The ratio of respectively decay constants

\frac{{{\lambda _A}}}{{{\lambda _B}}}

View answer and explanation

Correct option: A

\frac{{{T_B}}}{{{T_A}}}

Option A (

\frac{{{T_B}}}{{{T_A}}}

) is correct because the half-life of a radioactive element is inversely proportional to its decay constant, so the ratio of decay constants is the inverse of the ratio of half-lives.

JEE PHYSICS MCQ: NUCLEI

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