Calculate the energy equivalent of \(1\) g of substance.
Answer
The mass, \(m=1g=10^{-3}\mathit{kg}\) The speed of light, \(c=3\times 10^8m/s\) Find the Energy as follows: \(E=mc^2\) \(E=10^{-3}\times \left(3\times 10^8\right)^2J\) \(E=9\times 10^{13}J\) Hence, if one gram of matter is converted to energy, there will be a release of huge amount of energy.
Find the energy equivalent of one atomic mass unit, first in Joules and then in \(\mathit{MeV}\) . Using this, express the mass defect of \({_8^{16}}{{}}{{}}{O}{}\) in \(\mathit{MeV}/c^2\) .
An aqueous solution of \(X\) is added slowly to an aqueous solution of \(Y\) as shown in Column \(I\). The variation in conductivity of these reactions is given in Column \(II\). Match Column \(I\) with Column \(II\) and select the correct answer using the codes given below the Columns. ( )
\(^{64}Cu\) (half-life \(=12.8h)\) decays by \(β\) emission \((38\% ),\beta ^{+}\) emission \((19\% )\) and electron capture \((43\% )\). Write the decay products and calculate partial half-lives for each of the decay processes.
The half-life of \({_{92}^{238}}{{}}{{}}{U}{}\) undergoing α-decay is \(4.5\times 10^9\) years. What is the activity of \(1g\) sample of \({_{92}^{238}}{{}}{{}}{U}{}\) ?