A particle has initial velocity \(\mathbf{v} = 5\mathbf{i}\) and is at origin at this instant. Its acceleration is given by \((3\mathbf{i} + 4\mathbf{j})\). When the particle's \(x\)-coordinate is 16 units, then its speed is: (a) 13 units (b) \(\sqrt{161}\) units (c) ...

If the diameter of earth becomes half keeping mass to be constant, then the acceleration due to gravity at the surface of earth becomes. (a) Half (b) Four times (c) Twice (d) Three times

Two masses 𝑚1 = 4 𝑔𝑚 and 𝑚2 = 25 𝑔𝑚 are having same kinetic energy, find the ratio of linear momentum ? (a) 1 : 5 (b) 2 : 5 (c) 1 : 1 (d) 1 : 6

A proton with a constant velocity passes through a region of space without any change in its velocity. If E and B represents the electric and magnetic field then the incorrect option is. (a) 𝐸 = 0, 𝐵 = 0

Four objects of mass 1 kg are placed at the vertices of a square of side 2 m, an axis passing perpendicular to the plane of the square through one of the vertices then calculate the moment of inertia about ...