(c) The nuclear reactions is as follows
$\ _{7}N^{14}\ + \ \ _{2}He^{4}\ \rightarrow \ _{8}O^{17}\ + \ \ _{q}X^{p}$
Conservation of mass number gives
$\ \ \ \ \ \ \ \ \ \ P = 14 + 4 - 17 = 1$
Conservation of atomic number gives
$\ \ \ \ \ \ \ \ \ \ \ a = 7 + 2 - 8 = 1$
Hence, particle is a proton $\ _{1}H^{1}.$