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 his [latent heat of ice is $$3.4$$×$$105J/kg$$ and $$g=10$$ $$N/kg$$]

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 his [latent heat of ice is $$3.4$$×$$105J/kg$$ and $$g=10$$ $$N/kg$$]

Infinity Learn · Accepted Answer

Gravitational potential energy of a piece of ice at a height (h)=m$$ g h Heat absorbed by the ice to melt completely Δ$$Q=14mgh$$.......$$(1) Also, Δ$$Q=mL$$.......(2) From eqns. (1) and (2), $$mL=14mgh$$  or,  $$h=4Lg$$ Here $$L=3.4$$×$$105$$ J $$kg-1$$,$$g=10$$ N $$kg-1$$∴  $$h=4$$×$$3.4$$×$$10510=4$$×$$34$$×$$103=136$$ km

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 $3.4 \times 10^{5} J / k g a n d g = 10 N / k g$ ]

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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 his [latent heat of ice is 3.4×105J/kg and g=10 N/kg]

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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 $3.4 \times 10^{5} J / k g a n d g = 10 N / k g$ ]