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GATE Physics 2016 Paper

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Question : 19

Total: 65

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=−kBN[p ln p+(1−p)ln(1−p)].Here kB 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 ____________.(Given your answer upto one decimal)

0.1:0.1
0.5:0.5
2.0:2.5
4.0:5.0

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