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Thermometry, Thermal Expansion and Calorimetry — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsThermometry, Thermal Expansion and Calorimetry1 Mark
MCQ
Hailstone at $0^{\circ} \mathrm{C}$ falls from a height of $1 \mathrm{~km}$ on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)$
  • ✓
    $\frac{1}{33}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{1}{33} \times 10^{-4}$
  • D
    All of it will melt
✓

Answer

Correct option: A.
$\frac{1}{33}$
Suppose $m^{\prime} \mathrm{kg}$ ice melts out of $m \mathrm{~kg}$ then by using
$W=J Q \Rightarrow m g h=J\left(m^{\prime} L\right)$.
Hence fraction of ice melts $[=\frac{m^{\prime}}{m}=\frac{g h}{J L}=\frac{9.8 \times 1000}{4.18 \times 80}=\frac{1}{33}]$

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