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Hailstones fall from a certain height. I...

Hailstones fall from a certain height. If they melt completely on reaching the ground, find the height from which they fall.

Text Solution

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On reaching the ground, a hailstone of mass M loses potential energy which is converted into a heat energy required to melt it. In SI, potential energy lost = heat energy required for melting the hailstone Mgh
`=ML rArr gh = L `
` h = L/g , h = (80xx4.2 xx1000)/10`
` = 33.6 xx1000 m = 33.6 km `
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Knowledge Check

  • Hailstones fall from a certain height. If only 1% of the hailstones melt on reaching the ground, find the height from which they fall. (g - 10 ms^(-2) L - 80 caloric/g and I - 4.21/calorie)

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