Santosh Kumar

EduRev IIT JAM

Santosh Kumar
EduRev IIT JAM
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Discussed Questions
Santosh Kumar upvoted   •  Mar 07, 2023

Consider a radiation cavity of volume V at temperature T. The average number of photons in equilibrium is proportional to Tα , Find α?
    Correct answer is '3'. Can you explain this answer?

    Anisha Pillai answered
    For photons, B-E statistics is applicable
    For photons,   

    the density of states for photons between p and p + dp is

    Since two independent direction of polarization

    hv = dE
    ⇒ hdv = dE


    Average number of photons 




    The correct answer is: 3

    The eigen values of matrix A = are
    • a)
      ± 3√3
    • b)
      3, 1
    • c)
      - 1 ± 2 √7
    • d)
      none of these
    Correct answer is option 'C'. Can you explain this answer?

    Santosh Kumar answered  •  Jan 16, 2023
    From the property of Eigen values of Matrix we know
    1. sum of eigen values = Trace of the matrix.
    Trace of the matrix is sum of Principal diagonal elements.
    So sum of P.D.E = 3+(-5) =-2
    2. Product of Eigen values is equal to the determinant of the Matrix.
    So determinant of the matrix= -27
    Only option C satisfies the above two results. so option C is the answer
    Santosh Kumar upvoted   •  Jan 02, 2023

    An atom has n = 1 and n = 2 levels filled. How many electrons does the atom have?
    • a)
    • b)
      10
    • c)
      8
    • d)
      6
    Correct answer is option 'B'. Can you explain this answer?

    Jayant Mishra answered
    Number of electrons in nth orbit is given by 2n2
    ∴  total electrons is = 2(1)2 + 2(22)
    = 2 + 8 = 10
    The correct answer is: 10

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