JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
A metal bal of mass \(0.1\, kg\) is heated upto \(500\,{}^oC\) and dropped into a vessel of heat capacity \(800\, JK^{-1}\) and containing \(0.5\, kg\) water. The initial temperature of water and vessel is \(30\,{}^oC\). ........ \(\%\) is the approximate percentage increment in the temperature of the water. [Specific heat Capacities of water and metal are, respectively \(4200\, Jkg^{-1}K^{-1}\) and \(400\, Jkg^{-1}K^{-1}\)]
- A \(15\)
- B \(30\)
- C \(25\)
- D \(20\)
Answer & Solution
Correct Answer
(D) \(20\)
Step-by-step Solution
Detailed explanation
\(0.1 \times 400 \times \left( {500 - T} \right)\) \( = 0.5 \times 4200 \times \left( {T - 30} \right) + 800\left( {T - 30} \right)\) \( \Rightarrow 40\left( {500 - T} \right) = \left( {T - 30} \right)\left( {2100 + 800} \right)\)…
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