A one kg block of ice at -1.5^ C falls from a height of 1.5 ~km and is found melting. The amount of ice melted due to fall, if 60 % energy is converted into heat is (Specific heat capacity of ice is 0.5 ~cal ~g ⁻¹ ~C ⁻¹ , Latent heat of fus

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A one kg block of ice at -1.5^ C falls from a height of 1.5 ~km and is found melting. The amount of ice melted due to fall, if 60 % energy is converted into heat is (Specific heat capacity of ice is 0.5 ~cal ~g ⁻¹ ~C ⁻¹ , Latent heat of fusion of ice =80 ~cal~g ⁻¹ )

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Correct answer: B. 16.9 g

PE lost = mgh = 1 9.8 1500 = 14700 J Heat generated = 0.6 14700 = 8820 J = 8820 4.2 = 2100 cal Heat to warm ice from -1.5°C to 0°C : Q₁ = 1000 0.5 1.5 = 750 cal Heat available for melting: Q_ melt = 2100 - 750 = 1350 cal Mass melted = Q_ melt L = 1350 80 16.9 g

A one kg block of ice at -1.5^ C falls from a height of 1.5 ~km and is found melting. The amount of ice melted due to fall, if 60 % energy is converted into heat is (Specific heat capacity of ice is 0.5 ~cal ~g ⁻¹ ~C ⁻¹ , Latent heat of fusion of ice =80 ~cal~g ⁻¹ )

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