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Question

A thermometer with time constant τ, initially at the ambient temperature, is used to measure the temperature of a liquid in a bath. The excess temperature of the thermometer and the liquid over the ambient are θ(t), θi(t) respectively, where t denotes the time. If θi(t)=kt, where k is a constant, the steady state error, defined as limt(θ(t)θi(t)], is

A
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B
0
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C
-k
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D
k τ
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