15 An imaginary graph is plotted betwee potential and

and all respe allg 1 alg 5 3 alg all The diameter of aperture of a plano convex lens is 6 cm and its maximum thickness is 3 mm If the velocity of light in the material of the lens is 2 108 m s its focal length is approximately 1 10 cm 2 15 cm 3 30 cm 4 60 cm Two plano convex lenses of equal focal lengths are arranged as shown 2 alg all 4 Hg 2

There are two wire of same material and same length while the diameter of second wire is two times the diameter of first wire then the ratio of extension produced in the wires by applying same load will be 2020 a 1 1 b 2 1 c 1 2 d 4 1

parallel currents are directed so that one is out of the page and the other is into the page Compare the magnitude of the magnetic field B at any arbitrary uidistant from the wires to the magnitude of the field B at that point from one wire alone

a If the A Magnitude C Magnitude as well as direction D Neither magnitude nor direction Given C A B Also the magnitude of A B and Care 12 5 and 13 units respectively The angle between A and B is R C 2 D T

A rod is free to rotate in horizontal plane about one of its end hinged at point O as shown in figure Point P Q are fixed points located in horizontal plane in such away that PO is perpendicular to rod QO is along length of rod A bullet hits the rod perpendicularly at some distance from point O and gets imbedded into it Then P C O A Linear momentum of rod bullet system will decrease after collision B Linear momentum of rod bullet system may increase Angular momentum of rod bullet system about point P will not change before after collision D Angular momentum of rod bullet system about O may increase after collision

Two beads of mass m are initially at rest at the top of a frictionless hoop of mass M and radius R which stands vertically on the ground The beads are given tiny kicks and they slide down the hoop one of the right and one to the left as shown in figure What is the largest value of m M for which the hoop never rises up off the ground If your answer is a fill 2a in OMR m m M

Kepler s second law regarding constancy of areal velocity of a planet is a consequence of the law of conservation of 2019 a Energy b Angular momentum c Linear momentum d None of these

Two block are connected by a string and A is pulled by a force F 50N If coefficient of friction between the blocks and the ground is 0 2 friction force between the block B and the ground is the string is just slack initially 6 30 A R 30 N B 20kg A 30kg C 40 N F D zero

7 A particle is moving along a vertical circle of radius R The velocity of particle at P will be assume critical condition at C 1 3 7 59R 3gR D R A 37 B 2 2gR 3 4 gR

18 A horizontal disc of mass 1 0 kg mounted on a fixed vertical axle through its centre can rotate without friction On the disc a semicircular groove OP is cut A small ball B of mass 1 5 kg when pushed on the disc towards the centre O the ball enters the groove with a speed 2 0 m s and moves through the groove without friction With what speed will the ball leave the disc Neglect loss of mass due to cutting the groove Va 1 0 m s c 3 0 m s b 1 5 m s d Insufficient information O B P