Radon (Rn)is a gas.Its nucleus decays with the emission of an alpha particle to form an isotope of polonium (Po):
The masses of the particles are:
The rest energy of a unified mass unit is 931.5 MeV.The kinetic energy of the ejected particles is

Question

Radon (Rn)is a gas.Its nucleus decays with the emission of an alpha particle to form an isotope of polonium (Po):  
The masses of the particles are:  
The rest energy of a unified mass unit is 931.5 MeV.The kinetic energy of the ejected particles is

Quizplus · Accepted Answer

The energy released in the decay of radon is given by:
ΔE = (M_Rn - M_Po - M_α)c^2
where M_Rn, M_Po, and M_α are the masses of Rn, Po, and the alpha particle, respectively.

Substituting the given masses and converting to MeV, we get:
ΔE = [(222.01757 - 218.00897 - 4.00260)*931.5] MeV
ΔE = 6.160 MeV

Since the alpha particle is emitted with all the kinetic energy released in the decay, the kinetic energy of the alpha particle is 6.160 MeV. Therefore, the answer is B.

Radon (Rn)is a Gas ×\times× 10-3 MeV E)5

Radon (Rn)is a Gas $\times$ 10^-3 MeV
E)5