The entropy S of a system of N spins, which may align either in the upward or in the downward direction, is given by S =-k,N|pln p+(1– p) In(1– p)] . Here k, is the Boltzmann constant. The probability of alignment in the upward direction is p. The value of p, at which the entropy is maximum, is (Give your answer upto one decimal place)

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The entropy S of a system of N spins, which may align either in the upward or in the
downward direction, is given by S=-k,Npln p+(1-p) In(1– p)] . Here k, is the
B
Boltzmann constant. The probability of alignment in the upward direction is p. The value
of p, at which the entropy is maximum, is
(Give your answer upto one decimal
place)
Transcribed Image Text:The entropy S of a system of N spins, which may align either in the upward or in the downward direction, is given by S=-k,Npln p+(1-p) In(1– p)] . Here k, is the B Boltzmann constant. The probability of alignment in the upward direction is p. The value of p, at which the entropy is maximum, is (Give your answer upto one decimal place)
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