Consider the shown case of a freezing lake due to negative environmental temperature $(- θ) ° C$ . Thickness $(x)$ of ice layer is small in comparison to depth of lake. Rate of increase in $x$ will be greater

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for smaller thickness of ice layer

if environmental temperature increases

for larger thickness of ice layer

if environmental temperature decreases

answer is C, D.

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Detailed Solution

$Q = \frac{K A (∆ T)}{x} = \frac{K A (0 - (- θ))}{x} Q = \frac{K A θ}{x} R a t e o f i n c r e a s e o f x w i l l b e g r e a t e r i f Q i n c r e a s e s i . e . i f θ i n c r e a s e s o r x d e c r e a s e s$

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