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ICSE Class 10 Physics 2022 Paper

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Section-A
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Question : 7 of 45
Marks: +1, -0
If water absorbs 4000 joule heat to increase the temperature of 1 kg1\,\text{kg} water through 1∘ C1^{\circ}\,\text{C} then the specific heat capacity of water is :
Solution:  
(c) 4 Jg−1 ∘C−14\,\mathrm{Jg}^{-1}\,{}^{\circ}\mathrm{C}^{-1}
Explanation : θ=4000 J,m=1 kg=\theta=4000\,\mathrm{J}, m=1\,\mathrm{kg}= 1000 g1000\,\mathrm{g}
ΔT=1∘ C\Delta T=1^{\circ}\,\mathrm{C}
  ∵    θ=mcΔT\; \because \;\; \theta=m c \Delta T
  ∴    c=θmΔT=40001000×1\; \therefore \;\; c=\frac{\theta}{m \Delta T}=\frac{4000}{1000 \times 1}
=4 Jg−1 ∘C−1=4\,\mathrm{Jg}^{-1}\,{}^{\circ}\mathrm{C}^{-1}
  \;
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