If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then to maintain the same centripetal force, the ratio of their velocities will be: 23 August 2025 Read More »
A projectile is thrown at angles θ and (90 − θ) with the horizontal with the same speed of 20 ms⁻¹ from the same point of projection. If difference between the individual heights attained by them is 5 m, then the individual heights are, respectively, (g = 10 ms⁻²) 23 August 2025 Read More »
The pendulum is suspended by a string a length 250 cm. The bob has a mass of 200 g and is displaced sideways such that the string makes an angle of 60° with the vertical, as illustrated. Upon releasing the bob from this position, determine the maximum speed (in m/s) it achieves during its motion. 30 July 2025 Read More »
A student skates up a ramp that makes an angle of 30° with the horizontal. He/she starts (as shown in the figure) at the bottom of the ramp with speed v₀ and wants to turn around over a semicircular path xyz of radius R, during which he/she reaches a maximum height h (at point y) from the ground, as shown in the figure. Assume that the energy loss is negligible and the force required for this turn at the highest point is provided by his/her weight only. Then (g is the acceleration due to gravity) 24 July 2025 Read More »
A motor boat moving downstream overcame a raft at a point A; after τ (Tau) min, it turned back and after some time, met the raft again at a distance l = 6 km from point A. Calculate flow of velocity assuming the speed of the boat is constant. 18 July 2025 Read More »
A vernier calliper has its main scale of 10 cm equally divided into 200 equal parts. Its vernier scale of 25 divisions coincides with 12 mm on the main scale. The least count of the instrument is 16 July 2025 Read More »
