In an α−decay the kinetic energy of a particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is :(Assume that daughter nucleus is in ground state)
K.E. = (A-4)Q/A, gives the kinetic energy from Q-value and mass number,A of mother nuclei,
Substituting the values,
48A = (A-4)50
=> 2A = 200
=> A = 100