A stationary object at \(4^{\circ} \mathrm{C}\) and weighing 3.5 kg falls from a height of 2000 m on snow mountain at \(0^{\circ} \mathrm{C}\). If the temperature of the object just before hitting the snow is \(0^{\circ} \mathrm{C}\) and the object comes to rest immediately then the quantity of ice that melts is
(Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^2\), Latent heat of ice \(\left.=3.5 \times 10^5 \mathrm{~J} / \mathrm{kg}\right)\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.