Recent questions and answers in physics

The given plot shows the variation of U, the potential energy of interaction between two particles, with the distance separating them, r.

(l) B and D are equilibrium points.

(2) C is a point of stable equilibrium.

(3) The force of interaction between the two particles is attractive between points C and B, and repulsive between points D and E on the curve.

(4) The force of interaction between the particles is repulsive between points C and A. Which of the above statements are correct?

A spinning disc decelerates such that `alpha=k sqrtw`. If its initial speed is `w_o` then the total angular distance covered till it comes to rest will be

A rod of length `l` has velocity v at 'P’. The angular velocity of rod will be

A rod pivoted smoothly at ‘O' is resting on a block of height h. If the block moves with a constant velocity u, then the angular velocity of the rod will be

When two masses m and 2m joined with the mass less rod and force F applied as shown in fig, then the torque about their center of mass is

A box of mass m placed at the middle of a light shelf, The reaction on the pivot in vertical direction is

A thin uniform straight rod of mass 2 kg and length 1 m is free to rotate about its upper end when at rest. It receives an impulsive blow of 10 Ns at its lowest point, normal to its length as shown in figure. The kinetic energy of rod just after impact is

Two blocks of masses 5 kg and 2 kg are placed one above the other on a horizontal platform which is accelerating upwards with an acceleration of a = 2 m /`s^2`. [Take g = m / `s^2`]

A block is lying on a smooth horizontal surface. One end of a uniform rope is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. If mass of the rope is half of mass of the block, the tension in the middle of the rope is

A block of mass ' m ' initially at rest on a smooth horizontal surface, experiences a force F, which is constant in direction but magnitude changing with time as F =kt, where k is a constant. The distance traversed by the body till the moment it breaks off the horizontal plane is

A projectile `(u, theta)` is launched from horizontal plane, find angular velocity as observed from the point of projection at the time of landing

A small block of mass 100 g moves with uniform speed in a horizontal circular groove, with vertical side walls, of radius 25 cm. If the block takes 2.0s to complete one round, find the normal reaction by the side wall of the groove

A particle is revolving with a constant angular acceleration `alpha` in a circular path. The time when the magnitude of centripetal acceleration will be equal to the magnitude of tangential acceleration is

A particle moves with deceleration along the circle of radius R so that at any moment of time its tangential and normal acceleration are equal in moduli. At the initial moment t =0 the speed of the particle equals `v_o`, then the speed of the particle as a function of the distance covered s will be

A hollow cylinder of mass M is rolled on a surface with the help of plank of mass `M/2` as shown. If the speed of plank is 'V' and there is no slipping at point of contact. then KE of system is

A uniform thin wire of linear mass density `lambda` and it's length is infinity placed on the +y axis and its one end at the origin as shown. The Magnitude and direction of the gravitational field intensity at the point (R, 0) on X-axis is

In a uniform solid sphere of density `rho` and radius 'R' a cavity is made whose diameter is equal to radius of the sphere as shown in fig. Solid spheres center is at the origin and cavity center is at `(R/2, 0,0)` then the ratio of magnitude of gravitational field intensity at the point `(R/4 ,0,0)` and at the point `((3R)/4,0,0)`

A ring is rolling on a horizontal surface without slipping. A and B are two points on the ring.At an instant they are as shown in the figure. At this moment the ratio of magnitudes of velocities of A and B with respect to ground is

Two identical particles each of mass M are joined by a massless rod of length L. Now an impulse Mv is given to the mass M making an angle of `30^o` with the length of the rod. The angular velocity of the rod just after imparting the impulse is

A uniform sphere of radius `R_2` has a concentric cavity of radius `R_1` as shown in figure. The force F exerted by the sphere on a particle located at a distance r from the center of sphere varies as `(0 <= r <oo)` (The best approximation graph is)

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