There is formation of layer of ice x cm thick on water, when the temperature of air is − θ ∘ C (less than freezing point). The thickness of layer increases from x to y in the time t , then the value of t is given by-

t = 2 K θ ρ L ( x 2 2 − x 1 2 ) ∴ t = 2 K θ ρ L ( x 2 − y 2 ) = 2 K θ ρ L ( x + y ) ( x − y )

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There is formation of layer of ice x cm thick on water, when the temperature of air is $- θ^{\circ} C$ (less than freezing point). The thickness of layer increases from $x$ to $y$ in the time $t$ , then the value of $t$ is given by-

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Answer:

Solution:

$t = \frac{ρ L}{2 K θ} (x_{2}^{2} - x_{1}^{2}) ∴ t = \frac{ρ L}{2 K θ} (x^{2} - y^{2}) = \frac{ρ L ( x + y ) ( x - y )}{2 K θ}$

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Conduction

⏱ 2mℹ️ Source: QB

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