When a deuton of mass 2.0141 u and neglible kinetic energy is absorbed by lithium `("_3^6Li)` of nucleus of mass 6.0155 u, the compound nucleus disintegrates spontaneously into two alpha particles, each of mass 4.0026u. Calculate the energy in joules by each alpha particle.`(1u=1.66 xx 10^-27kg)`

In the nucleus of _(92) U^(238) , two porotns at a distance of 6xx10^-1 m . Calculate their electrostatic potential energy.

Two spheres of 1kg mass each are separated by 3 m. Calculate the gravitational force between then. Given G = 6.67 xx 10^ -11Nm^2//kg^2 .

A rocket of 3 xx10^6 kg mass takes off from a launching pad and acquires a vertical velocity of 1 km/s at an altitude of 25 km. Calculate the potential energy, and the kinetic energy.

Calculate the wavelength of matter waves associated with a particles of mass 0.5 g moving with a velocity of 400 cm s ^(-1) Planck's constant is 6.6 xx 10^(-27) erg s .

A neutron is abosorbed by "_3^6Li nucleus with the subsequent emission of an alpha-particl e . Calculate the energy released in MeV in this reaction given "_3^6Li =6.015126 u, mass (neutron)=1.0086654 u mass (alpha)=4.0026044 u and mass (triton)=3.0100000u. Take 1u=931 MeV//c^2 .

A nucleus at rest undergoes a decay emitting an alpha -particle of de-broglie wavelength lambda = 5.76 xx 10^(-15) m . The mass of daughter nucleus is 223.40 amu and that of alpha-particle is 4.002 a.m.u.detrmine the total kinetic energy in the final state.Hence,obtain teh mass of the parent nucleus in a.m.u. Given that 1 a.m.u.=931.470 MeV .

An alpha particle (_2He^4) is moving directly towards a stationary gold nucleus (_(79)Au^(197)) .The alpha -particle and the gold nucleus may be considered to be solid spheres with the charge and mass concentrated at the centre of each sphere.When the two spheres are just toching,the sepaation of their centres is 9.6 xx 10^(-15) m . the alpha particle and the gold nucleus may be assumed to be an isolatedd system.Calculate for the alpha particle just in contact with the gold nucleus, its electric potential energy.

The nucleus of an atom of ._(92)Y^(235) initially at rest decays by emitting an alpha particle. The binding energy per nucleon of parent and dougther nuclei are 7.8MeV and 7.835MeV respectively and that of alpha particles is 7.07MeV//"nucleon". Assuming the dougther nucleus to be formed in the unexcited state and neglecting its share of energy in the reaction, calculate speed of emitted alpha particle. Take mass of alpha particle to be 6.68xx10^(-27)kg .