hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Each allowed energy level of a system of non-interacting fermions has a degeneracy M. If there are N fermions and R is the remainder upon dividing N b
    Question

    Each allowed energy level of a system of non-interacting fermions has a degeneracy M. If there are N fermions and R is the remainder upon dividing N by M, then the degeneracy of the ground state is

    A.

    RM

    B.

    1

    C.

    M

    D.

    MCR

    Correct option is D

    Solution:

    If there are N fermions and M degenerate states of each energy level for the ground state of the system (not the lowest energy level), all levels with degeneracy will be filled. The uppermost level will have R fermions to be filled in M degenerate levels, and that will be filled in "M choose R" ways, denoted as MCR. That is the degeneracy of the ground state.

    Similar Questions

    test-prime-package

    Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    366k+ students have already unlocked exclusive benefits with Test Prime!
    test-prime-package

    Access ‘CSIR NET- GENERAL APTITUDE’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    366k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow