Due to cold weather a 1m water pipe of cross-sectional area 1cm 2 is filled with ice at -10 0 C. Resistive heating is used to melt the ice. Current 0.5A of is passed through 
resistance. Assuming that all the heat produced is used for melting, what is the minimum time required?
(Given latent heat of fusion for water/ice 
, specific heat of ice 
and density of ice 
)
Text Solution
Verified by ExpertsThe correct answer is:
B
mass of ice 
Energy required to melt the ice
Q = ms 
T + mL
= 10 −1 (2 × 10 3 × 10 + 3.33 × 10 5 ) = 3.53 × 10 4 J
Q = i 2 RT
3.53 × 10 4 = 
Time = 35.3sec
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