MODEL QUESTIONS (IPE PATTERN)

$\mathrm{One} \mathrm{gram}$ of radium is reduced by $2 \mathrm{mg}$ in $5$ years by alpha decay. Calculate the half life of radium.

The half-life of a radioactive substance is $5000 \mathrm{years}$. In how many years, its activity will decay to 0.2 times of initial value.value. Given $\log 5=0.6990$

An explosion of an atomic bomb releases an energy of $7.6\times {10}^{13}\mathrm{J}$ .If $200 \mathrm{MeV}$energy is released on fission of one.$\mathrm{U}-235$atom. Calculate the number of uranium atoms undergoing fission. 

An explosion of an atomic bomb releases an energy of $7.6\times {10}^{13}\mathrm{J}$. If  $200 \mathrm{MeV}$ energy is released on fission of one.$\mathrm{U}-235$atom calculate the mass of uranium used in the atom bomb.

If one microgram of ${}_{92}{}^{235}\mathrm{U}$ is completely destroyed in an atom bomb, how much energy will be released?

Calculate the energy released by fission of $2\mathrm{gm}.$ Of ${}_{92}{}^{235}\mathrm{U}$, given that the energy released per fission is $200 \mathrm{Mev}$.

$200 \mathrm{MeV}$ energy is released when one nucleus of ${\mathrm{U}}^{235}$undergoes fission. Find the number of fission per second required for producing power of $1 \mathrm{megawatt}$.

How much ${{\mathrm{U}}^{235}}^{}$is consumed in a day in an atomic house operating at $400 \mathrm{MW}$, provided that whole of mass of uranium is converted into energy?