Discussion
Assertion (A): Reducing stack diameter always improves dispersion.
Reason (R): Exit velocity varies as the inverse square of diameter at constant volumetric flow.
Select the correct answer from the options below.
Answer: D
Correct answer: A is false but R is true
The reason is correct arithmetic: \(v = Q/A\) and \(A \propto d^2\), so velocity does vary as \(1/d^2\). But the assertion is too strong: a narrower stack also raises the draught loss, roughly as \(v^2\), and there is a point beyond which the fan power and the noise outweigh any gain in dispersion. “Always” is what makes the assertion false.
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