AP EAMCET · PHYSICS · Thermal Properties of Matter
A wire of \(20 \Omega\) is immersed in ice. If \(10 \mathrm{~A}\) current is passed through this wire for 1 minute, ice completely melts. The mass of the ice is nearly \(\left(L_{\text {ice }}=79.7 \mathrm{calg}^{-1}\right)\)
- A 3.5 g
- B 359 g
- C 540 g
- D 3.5 kg
Answer & Solution
Correct Answer
(B) 359 g
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \text { Heat gained } & =\text { Heat generated } \\ m L & =I^2 R t \\ \Rightarrow \quad m & =\frac{I^2 R t}{L} \\ & =\frac{100 \times 20 \times 60}{79.7 \times 4.2} \quad(\because 1 \mathrm{cal}=4.2 \mathrm{~J}) \\ & =359 \mathrm{~g}\end{aligned}\)
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