The relation between the half life $t$ of a radioactive sample and its mean life $T$ is :

t = 0.693 T

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

T = 0.693 t

No worries! We‘ve got your back. Try BYJU‘S free classes today!

t = T

No worries! We‘ve got your back. Try BYJU‘S free classes today!

t = 2.718 T

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $t = 0.693 T$
$t = 0.693 T$
Mathematically
Half life = mean life $\times$ ln(2)
= mean life $\times$ 0.693
$t = 0.693 T$

Suggest Corrections

Similar questions

Q. The relation between half-life T of a radioactive sample and its mean life is:

Q. The relation between half-life

T

of a radioactive sample and its mean life

τ

is:

Q. If the relation between time of decay

(t)

and half life period

(t_{1 / 2})

(t = 4 t_{1 / 2})

; the relation between

t

and mean life

(T)

is:

Q. The decay constant of a radioactive sample is

γ

. Its half-life is

T_{1 / 2}

and mean life is

T

A radioactive sample undergoes decay as per the following graph. Dotted line represents the slope of the curve at t = 0. If this dotted line intersects the time axis at t = T, choose the correct alternative (Given $t_{\frac{1}{2}}$ = half life, $t_{a v g}$ = mean life)

Join BYJU'S Learning Program

The relation between the half life t of a radioactive sample and its mean life T is :

The correct option is A t=0.693Tt=0.693TMathematicallyHalf life = mean life × ln(2) = mean life× 0.693t=0.693T

The relation between the half life $t$ of a radioactive sample and its mean life $T$ is :

The correct option is A $t = 0.693 T$
$t = 0.693 T$
Mathematically
Half life = mean life $\times$ ln(2)
= mean life $\times$ 0.693
$t = 0.693 T$