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 t12 = half life, tavg = mean life)
tavg=T
N=N0e−λt
dNdt∣∣t=0=−λN0
(λN0)T=N0
T=1λ=tavg