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STATISTICAL PHYSICS EXAM 2026 WITH 
VERIFIED QUESTIONS AND ANSWERS 
 
 

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---30June 20262025/2026A+
- STATISTICAL PHYSICS EXAM 2026 WITH 
VERIFIED QUESTIONS AND ANSWERS 
 
 
 
 
How does the extension of a polymer scale with chain length when stretched by 
a Stokes drag force - ANSWER-Balancing the entropic spring force against 
drag gives r ∝ N b² R v / (k_B T). For an ideal chain R ~ N^{1/2}, giving r ~ 
N^{3/2}. 
 
How does Stokes-drag-induced extension scale for a self-avoiding polymer - 
ANSWER-The hydrodynamic radius scales as R ~ N^{3/5} and the spring 
constant scales as ...
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