JEE Main 2026 — 2 April, Morning Shift — Question 3

The position of an object having mass $0.1\mathrm{kg}$ as a function of time t is given as $\vec{\mathrm{r}} = \left(10\mathrm{t}^{2}\vec{\mathrm{i}} +5\mathrm{t}^{3}\vec{\mathrm{j}}\right)\mathrm{m}.$ At $\mathrm{t} = 1\mathrm{~s~}$ , which of the following statements are correct? A. The linear momentum $\vec{\mathrm{p}} = \left(2\vec{\mathrm{i}} +1.5\vec{\mathrm{j}}\right)\mathrm{kg}\cdot \mathrm{m} / \mathrm{s}.$ B. The force acting on the object $\vec{\mathrm{F}} = \left(2\vec{\mathrm{i}} +3\vec{\mathrm{j}}\right)\mathrm{N}.$ C. The angular momentum of the object about its origin $\vec{\mathrm{L}} = 15\vec{\mathrm{k}}\mathrm{J}\mathrm{s}.$ D. The torque acting on the object about its origin $\vec{\mathrm{r}} = 20\vec{\mathrm{k}}\mathrm{N}\mathrm{m}.$ Choose the correct answer from the option given below.