The correct option is D 58kcal
Reaction, A+B⟶C+D+38 kcal has activation energy 20 kcal . Activation energy for the reaction, C+D⟶A+B is 20 kcal +38 kcal =58 kcal .
Note:
The reaction is exothermic as for exothermic reaction (heat liberated during reaction),
Ea,r=Ea,f+ΔHrxn
Ea,f= activation energy for forward reaction
Ea,r= activation energy for reverse reaction
ΔHrxn= enthalpy change for the reaction.