Properties Of Solids And Liquids Question 442

Question: A piece of ice falls from a height h so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of h is: [Latent heat of ice is $ 3.4\times 10^{5} $ J/kg and g=10N/kg]

Options:

A) 34 km

B) 544 km

C) 136 km

D) 68 km

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Answer:

Correct Answer: C

Solution:

[c] According to question only one-quarter of the heat produced by falling piece of ice is absorbed in the melting of ice. i.e., $ \frac{mgh}{4}=mL $

$ \Rightarrow h=\frac{4L}{g}=\frac{4\times 3.4\times 10^{5}}{10}=136km. $



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