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JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry

A copper ball of mass \(100\ gm\) is at a temperature \(T\). It is dropped in a copper calorimeter of mass \(100\ gm\), filled with \(170\  gm\) of water at room temperature. Subsequently, the temperature of the system is found to be \(75^o C\). \(T\) is given by......\(^oC\) (Given : room temperature \(= 30^o  C\), specific heat of copper \(=\) \(0.1\) \(cal/gm^o C\))

  1. A \(800\)
  2. B \(885\)
  3. C \(1250 \)
  4. D \(825\)
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Answer & Solution

Correct Answer

(B) \(885\)

Step-by-step Solution

Detailed explanation

\(Heat\,lost\,by\,copper\,ball=heat\,gained\,by\,copper\,calorimeter\,and\,water.\) \(\therefore m{s_{Cu}}\left( {T - {T_f}} \right) = {m_{Cu}} \times {s_{Cu}}\left( {{T_f} - {T_0}} \right) + \) \({m_w}{s_w}\left( {{T_f} - {T_0}} \right)\)…
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