According to Newton's second law of motion, \( F = ma \), where \( F \) is the force applied, \( m \) is the mass of the object, and \( a \) is the acceleration. When the same force is applied to two objects of different masses, the acceleration produced will be inversely proportional to their mass.
Therefore, if the force is the same and one object has a greater mass than the other, the object with the greater mass will experience a smaller acceleration. Thus, the correct answer is:
b. The object with greater mass will experience a smaller acceleration.