Impulse & Momentum Conservation question from JEE Main 2023 (1 Feb, Shift 2)

Answer: (d)

1. Impulse = area under the $F$-$t$ graph.
2. Fig (a): $\frac{1}{2}(1)(0.5) = 0.25$; Fig (b): $0.5 \times 2 = 1.0$
3. Fig (c): $\frac{1}{2}(1)(0.75) = 0.375$; Fig (d): $\frac{1}{2}(2)(0.5) = 0.5$ (all in N s)
4. Fig (b) has the largest area, so the answer is (d) Fig (b).