If you want to check the h-index of a professor at IIT Kharagpur, then follow some of the steps which are given below - 

• Google Scholar Account - Most of the professors maintain a Google Scholar profile, which lists their citation metrics and publications that also include h-index. Just Go to the Google Scholar website and enter the professor’s name and affiliation. After that, browse the search results to search for the correct profile. 
• Institutional Profile of the Professor - Professors often list their h-index and publications on their personal or departmental web pages of the institute. To access the h-index of the professors through the official website of IIT Kharagpur, visit the faculty page of the specific department. After that, search for the professor’s profile that could include a list of their publications with few citation metrics.
• Researchers Profiles (like Scopus and Web of Science) - Some databases like Web of Science or Scopus offer precise citation metrics which include the h-index of the professors. Access these databases through your institution’s library or with the help of an online subscription. After that, search for the professor’s name and check the citation metrics of the professor. 
• Contact the Professor Personally - If the above-mentioned methods don't work properly, then you could consider contacting the professor directly through email. Professors are generally willing to share their citation metrics (like h-index) upon request.