Published by:
CGP EDU Academic Team
Published on: September 12, 2026
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
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the …
A Carnot engine take 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C.…
The efficiency of a Carnot's engine, working between steam point and ice point, will be:
A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the…
In a carnot engine, the temperature of reservoir is 527°C and that of sink is 200 K. If the work do…
300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature i…