Isotope A has a decay constant that is twice that of isotope B (( _A = 2 _B) )

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

Isotope A has a decay constant that is twice that of isotope B

(\lambda_A = 2\lambda_B)

. Which statement about their half-lives is correct? (a)

T_{1/2,A}=2\,T_{1/2,B}

(b)

T_{1/2,A}=\dfrac{1}{2}\,T_{1/2,B}

(c)

T_{1/2,A}=\sqrt{2}\,T_{1/2,B}

(d)

T_{1/2,A}=T_{1/2,B}