Geo-Scientist Prelims 2024 General Studies Q70: An ice bullet of temperature – 10°C is fired upon an object. The…

An ice bullet of temperature – 10°C is fired upon an object. The bullet spends 20% of its kinetic energy in penetrating into the object and remaining kinetic energy is spent into melting the bullet at 0°C. The latent heat of fusion of ice is 3·4 × 10⁵ J kg⁻¹ and its specific heat capacity is 2000 J kg⁻¹ K⁻¹. Which one among the following is the correct initial speed of the bullet ?

1. (a) 300√10 m s⁻¹
2. (b) 3600 m s⁻¹
3. (c) 300√5 m s⁻¹
4. (d) 900 m s⁻¹