Which of the following statements are true regarding radioactivity
$(I)$ All radioactive elements decay exponentially with time
$(II)$ Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate
$(III)$ Age of earth can be determined with the help of radioactive dating
$(IV)$ Half life time of a radioactive element is $50\%$ of its average life periodSelect correct answer using the codes given belowCodes :
$I \, and\,II$
$I, III \, and\,IV$
$I, II \, and\,III$
$II \, and\,III$
Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as:
(where $\lambda$ is the decay constant)
Alpha rays emitted from a radioactive substance are
The half life of a radioactive substance is $20$ minutes. In $........\,minutes$ time,the activity of substance drops to $\left(\frac{1}{16}\right)^{ th }$ of its initial value.
The '$rad$' is the correct unit used to report the measurement of
If the mass of a radioactive sample is doubled, the activity of the sample and the disintegration constant of the sample are respectively