The nucleus of `._(90)^(230)Th` is unstable against `alpha-`decay with a half-life of `7.6xx10^(3)` years. Write down the equation of the decay and estimate the kinetic energy of the emitted `alpha-`particle from the following data: `m(._(90)^(230)Th)`=230.033131 amu, `m(._(88)^(226)Ra)`=226.025406 amu and `m(._(2)^(4)He)`=4.002603 amu.

The nucleus ._(92)U^(238) is unstable angainst alpha decay with half-life of 4.5 xx 10^(9) years. Estimate the kinetic energy of the emitted alpha -particle. Mass of the ._(92)U^(238) atom = 238.05081 u Mass of the ._(2)He^(4) atom = 4.00260 u Mass of the ._(90)Th^(234) atom = 234.04363 u

Find the kinetic energy of emitted a-particles in the following nuclear reaction: ""_(94)Pu^(238) to ""_(92)U^(234) + ""_(2)He^(4) m(Pu^(238)) = 238.04954 amu m(U^(234)) = 234.04096 amu m(""_(2)He^(4)) = 4.002603 amu

Find the Q value and the kinetic energy of emitted alpha particle in the alpha decay of (a) ._88Ra^(226) (b) ._86Rn^(220) . Given m(._88Ra^(226))=226.02540u, m(._86Rn^(222))=222.01750u (b) m(._86Rn^(220))=220.01137u , m(._84Po^(216))=216.00189u and m._(alpha)=4.00260u.

The nucleus ._(92)^(235)U decays according to ._(92)^(238)U rarr ._(92)^(234)Th + ._(2)^(4)He . Calculate the kinetic energy of the emitted alpha -particle ._(92)^(238)U = 3.85395 xx 10^(-25) kg " " ._(90)^(234)Th = 3.78737 xx 10^(-25) kg " " ._(2)^(4)He = 6.64807 xx 10^(-27)

^228Th emits an alpha particle to reduce to ^224Ra .Calculate the kinetic energy of the alpha particle emitted in the following decay: ^228Th rarr 224Ra**+ alpha 224Ra** rarr 224Ra+ gamma(217 keV). Atomic mass of 228Th is 228.028726 u,that of 224Ra is 224.020196 u and that of _2^4He is 4.00260 u.

In a nuclear reaction, alpha+"_(7)N^(14)toX+p When nitrogen atoms are bombarded by 7.7 Me V alpha- particles, protons are ejected with a kinetic energy of 5.5 MeV . The Q- value of the reaction is -1.26 MeV ( a ) Find the atomic mass of X in amu, identify the element X . ( b ) Find the angle phi between the direction of motion of proton and alpha- particle. Given the atomic mass of "_(1)H^(1)=1.00814 a.m.u. , atomic mass of "_(7)N^(14)=14.00752 amu , and atomic mass of "_(2)He^(4)=4.0038 a.m.u.

The deuterium-tritium fusion reaction (called the D-T reaction) is most likely to be the basic fusion reaction in a future thermonuclear fusion reactor is ._(1)^(2)H+._(1)^(3)Hrarr._(2)^(4)He+._(0)^(1)n+Q (a) Calculate the amount energy released in the reaction, given m(._(1)^(2)H)=0.014102 amu. m(-(1)^(3)H)=3.016090 amu, m(._(0)^(1_n)=1.008665 amu and m(._(2)^(4)He)=4.002603 amu. (b) Find the kinetic energy needed to overcome coulumb repulsion. Assume the radius of both deterium and tritium to he approximately 1.5xx10^(-15)m . (c) To what temperature must the gases be heated to initiate the fusion reaction? Take Boltzmann constant k=1.38xx10^(-23) JK^(-1) .

Initially the nucleus of radium 226 is at rest. It decays due to which and alpha particle and the nucleus of radon are created. The released energy during the decay is 4.87 Mev, which appears as the kinetic energy of the two resulted particles [m_(alpha)=4.002"amu",m_("Rn")=22.017"amu"] What is the linear momentum of the alpha -particle?