Q.

From what height a piece of ice at zero degree fall in order that it may melt on reaching the ground, assuming no loss of energy on the way : (J = 4.2 J / cal)

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a

3.4 x 106 cm

b

3.4 x 105 cm

c

3.4 x 106 mts

d

3.4 x 105 cms

answer is A.

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Detailed Solution

Let m be mass of ice block and h be the height above the ground.∴Work done W = mgh.Heat produced  Q=WJ=mghJHeat required to melt ice block Q’ = mL∴mghJ=mLh=JLg=4.2×80×1039.8=3.4×104m=3.4×106cm
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From what height a piece of ice at zero degree fall in order that it may melt on reaching the ground, assuming no loss of energy on the way : (J = 4.2 J / cal)