Discussion
Assertion (A): The growth equation for an ice crystal uses a capacitance in place of a radius.
Reason (R): The vapour diffusion problem is mathematically identical to an electrostatic one.
Answer: C
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the reason is the justification. Steady-state vapour diffusion to a crystal obeys Laplace’s equation with a fixed value on the surface, which is exactly the electrostatic problem of a charged conductor, so the geometry enters through the electrical capacitance of that shape. It is why a branched dendrite grows faster than a compact crystal of the same mass: capacitance depends on shape, not merely on volume.
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