When a graph of (y-axis) versus time (x-axis) is drawn for a radioactive sample

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

Problem

When a graph of

\ln N

(y-axis) versus time

t

(x-axis) is drawn for a radioactive sample, the magnitude of the slope of the straight line gives which physical quantity? (a)

T_{1/2}

(half-life of the sample) (b) Activity of the sample (in

\mathrm{Bq}

) (c) Decay constant of the sample (d)

\dfrac{1}{T_{1/2}}

(reciprocal of the half-life)