A radioactive substance has mass measured in grams and obeys the differential equation

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A radioactive substance has mass m(t)m(t) measured in grams and obeys the differential equation dmdt=km3\dfrac{dm}{dt}=k m^{3}. If time is measured in seconds, which of the following units must kk have so that the equation is dimensionally consistent? (a) g2 / s\text{g}^{2}\,/\,\text{s} (b) g / s\text{g}\,/\,\text{s} (c) g−2 s−1\text{g}^{-2}\,\text{s}^{-1} (d) s−1\text{s}^{-1}

Related theory

Browse the problem library