Madhurima with your 38000 rank in WBJEE exam under the general category getting any branch in the top college is impossible. Some of the colleges where you might have some good chance of getting admission in your desired branch are:

• Abacus Institute Of Engineering & Management, Mogra, Hooghly
• Academy Of Technology, Adisaptagram, Hooghly
• Narula Institute of Technology, Agarpara
• Techno India University, Kolkata
• Haldia Institute of Technology, Haldia
• Heritage Institute of Technology, Kolkata
• Institute of Engineering and Management, Kolkata

To check out the last year cut-offs of top colleges you can look in the link given below:

• https://engineering.careers360.com/articles/wbjee-cutoff

And to find out which more colleges in which you are eligible you can check out the link mentioned below:

• https://engineering.careers360.com/wbjee-college-predictor

Feel free to ask if you have any more queries. All the best!!