AP EAMCET · PHYSICS · Thermal Properties of Matter
If some heat is given to a metal of mass 100 g, its temperature rises by \(20^{\circ} \mathrm{C}\). If the same heat is given to 20 g of water, the change in its temperature (in \({ }^{\circ} \mathrm{C}\) ) is (The ratio of specific heat capacities of metal and water is \(1: 10\) )
- A \(5\)
- B \(10\)
- C \(12\)
- D \(15\)
Answer & Solution
Correct Answer
(B) \(10\)
Step-by-step Solution
Detailed explanation
\(Q_m = Q_w\) \(m_m c_m \Delta T_m = m_w c_w \Delta T_w\) \(100 \cdot c_m \cdot 20 = 20 \cdot (10 c_m) \cdot \Delta T_w\) \(2000 c_m = 200 c_m \Delta T_w\) \(\Delta T_w = \frac{2000}{200}\) \(\Delta T_w = 10^{\circ} \mathrm{C}\)
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