Hi Bharath
A degree in aerospace engineering and a degree in aeronautical engineering both prepare students to design aircraft. In fact, aeronautical engineering is a branch of aerospace engineering.
Though the two degree programs teach similar engineering principles, there is a critical distinction between designing for air and space. Schools offering Engineering & Technology Management degrees can also be found in these popular choices.
For a wide scope in future you should choose aerospace engineering but if you think that in future you would choose aeronautical engineering then you should choose it right now.