First slide

Conduction

Question

For water at 0ºC it takes one hour for first 3 mm of ice layer formation. How much time will it take for next 6 mm of ice formation?

Moderate

A

2 hour
B

4 hour
C

3 hour
D

8 hour

Solution

$t i m e f o r i c e f o r m a t i o n i s p r o p o r t i o n a l t o (X_{f}^{2} - X_{i}^{2}) w h e r e X_{f} i s t h e f i n a l t h i c k n e s s a n d X_{i} i s t h e i n i t i a l t h i c k n e s s \frac{t_{1}}{t_{2}} = \frac{3^{2} - 0^{2}}{9^{2} - 3^{2}} = \frac{1}{8} t_{1} = 1 s 0 t_{2} = 8 h o u r s$

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