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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2023 · 31 January · Evening Shift · Physics · Thermal Properties of Matter

A water heater of power 2000W is used to heat water. The specific...

A water heater of power 2000W2000W is used to heat water. The specific heat capacity of water is 4200Jkg−1K−14200J{kg}^{- 1}{K}^{- 1}. The efficiency of heater is 7070 %. Time required to heat 2kg2kg of water from 10°C10 ° C to 60°C60 ° C is _____ ss.

(Assume that the specific heat capacity of water remains constant over the temperature range of the water).

Correct answer

0

Step-by-step solution

Heat provided to water will be responsible for increase in temperature. Therefore, we can write

η×P×t=M×s×\DeltaTη \times P \times t = M \times s \times \DeltaT

Now, η=70100=0.7η = \dfrac{70}{100} = 0 . 7 and energy=power×time\text{energy} = \text{power} \times \text{time}.

Therefore,

t=2×4200×(60°−10°)0.7×2000s=300st = \dfrac{2 \times 4200 \times \left(60 ° - 10 °\right)}{0 . 7 \times 2000}s = 300s

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