Embibe Experts Solutions for Exercise 4: Assignment

Radioactive nuclei $P$ and $Q$ disintegrate into $R$ with half lives $1$ month and $2$ months respectively. At time $t=0,$number of nuclei of each $P$ and $Q$ is $x.$ Time at which rate of disintegration of $P$ and $Q$ are equal, number of nuclei of $R$ is

A radioactive element $\mathrm{X}$ emits six $\alpha$-particles and four $\beta$-particles leading to an end product ${}_{82}{}^{208} \mathrm{Pb}.$ $\mathrm{X}$ is

Correct increasing order of penetrating powers of $\alpha$ particles, $\beta$ particles and $\gamma$-rays all moving with same kinetic energy is

$37$Rutherford equals

A certain stable nuclide, after absorbing a neutron, emits $\mathrm{\beta }$-particle and the new nuclide splits spontaneously into two $\mathrm{\alpha }$-particles. The nuclide is

An element $A$ decays by a two-step process into element, $C$
$A\to B+{{}_2\mathrm{He}}^4$
$B\to C+2e^{-}$
Then,

For the nuclear fusion reaction ${}_1{}^2\mathrm{H}+{}_1{}^3\mathrm{H}\to {}_2{}^4\mathrm{He}+{}_0{}^1\mathrm{n}$ temperature to which gases must be heated is $3.7\times {10}^9 \mathrm{K}.$ Potential energy between two nuclei is closest to (Boltzmann's constant $k=1.38\times {10}^{-23} \mathrm{J} {\mathrm{K}}^{-1}$ )

In proton-proton cycle, four hydrogen atoms combine to release energy