IIT BHU and BITS Pilani are two highly reputed institutes for engineering studies in India. IIT BHU would be a better option over BITS Pilani because of these reasons:

• Brand Value: IIT BHU carries the prestigious “IIT'' tag which holds more brand value than the “BITS Pilani'' tag. This will become important to you when applying to foreign universities for your higher education. 

• Fees: As a government institution, the fees of IIT BHU is much more affordable as compared to BITS Pilani. This in turn, gives IIT BHU a higher ROI (Return on Investment), as IIT BHU offers even better placements than BITS Pilani. 

Here are the important comparisons between IIT BHU and BITS Pilani:

*(for SC/ST/PwD students, and others with family income <= 1 LPA, the tuition fee is 0. The tuition is exempted by 2/3rd for students with family income <=5 lakh and > 1 lakh).

IIT BHU is much more cost-effective than BITS Pilani, and has better placements as well. It also delivers the much renowned ‘IITian’ tag to its students.  

Because of all these reasons, I would recommend you choose IIT BHU over BITS Pilani for your Mechanical/Electronics Engineering.