Indian Institute of Science (IISc), Bangalore is all set to launch a new four-year undergraduate (UG) Bachelor of Science (BS) programme in the coming academic session in 2011. The main aim of the course is to prepare young minds for research and doctoral studies in the upcoming areas of science and technology. Besides motivating students to take up higher research, mentoring and tutorials, the programme will introduce rigorous specializations in fourth, fifth, and sixth semesters. The students will be allowed to choose electives from other streams as well during this period. In the seventh and eighth semesters, students will work on a research-oriented project supervised by a faculty member. Admissions to the programme will be based on national entrance examinations like IIT JEE, AIEEE, AIPMT, and Kishore Vaigyanik Protsahan Yojana.
All aspiring candidates of engineering and architecture courses prefer to take online test instead of regular pen-paper based format. AIEEE is finally about to conduct its online entrance exams on 1st May, 2011. The online exams will follow the standardized pattern of paper-based test which is being used for nine years. However, Central Board of Secondary Education (CBSE), the organizer of the exam, will only allow a limited number of students to appear in the online exams in 2011. Students from 20 cities will be able to give their exams online with a maximum of 5,000 students per city. The students will be allotted seats for online exams on first-come-first-served basis.
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Treat the sphere as a solid non-conducting sphere of radius R=6000 km with uniform charge Q=4000 C. The sphere has a conducting spherical shell. The shell has inner radius r1= 6005 km, outer radius r2= 6010 km and zero net charge. Assume gravity is negligible for all parts of this problem.
a) How much charge is on the inner and outer surfaces of the shell layer?
b) What is the potential difference deltaV between the base of the shell and the sphere?