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Properties of Matter question

2016 · Q151
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Properties of Matter question

2016 · Q151

NEETPhysicsProperties of MatterMCQ+4 / −1
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 [Latent heat of ice is 3.4×1053.4 \times {10^5}3.4×105 J/kg and g = 10 N/Kg]
  1. A
    136 km
  2. B
    68 km
  3. C
    34 km
  4. D
    544 km
View written solutionFree

Correct answer: A

Energy gained by the ice during its fall E = mgh

As, mgh4=mLf{{mgh} \over 4} = m{L_f}4mgh​=mLf​

h=mLf×4mg=Lf×4gh = {{m{L_f} \times 4} \over {mg}} = {{{L_f} \times 4} \over g}h=mgmLf​×4​=gLf​×4​

=3.4×105×410=136000 m=136 km = {{3.4 \times {{10}^5} \times 4} \over {10}} = 136000\,m = 136\,km=103.4×105×4​=136000m=136km

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