Can the total change in entropy be negative value?

Krishna0703
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actually i have worked out the question..but i doubt about my answer..can anyone help me to verify this question please..kindly please refer to the attached files whereby i attached questions as well as my workings also...i really need help please..thanks in advance ..if possible may i have the other answers also please...

well as final answer for the change in entropy i got it to be -6.70 J/K..(i could not attach more files because the max possible file to be attached is 3.)
 

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oki i manage to attach the alst one here...
 

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Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
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