[JEE 2024] Important Problems From AITS

Telegram Discussion Group : https://t.me/+mBY5xDPeDjQ1YmQ1 Q . A thin uniform rod of mass m and length  rotates with a constant angular velocity w about the vertical axis passing through the rod’s suspension point O. In doing so, the rod describes a conical surface with a half aperture angle  as shown in the figure. Then choose the correct option(s) a. Torque about O by centrifugal force acting on the rod (in the reference frame fixed to the rod) is b. w c. Component of reaction force at O in horizontal direction is d. Magnitude of angular momentum of the rod about the axis of rotation is Q. Consider a uniform spherical charge distribution of radius R and charge density , centred at the origin O. In this charge distribution a spherical cavity of radius R/3 centred at C is made. The points A and B are on the surface of cavity lying on the straight line joining ‘O’ and ‘C’. Let VA, VB and VC are the electric potential at points A, B and C respectively, and E0 and EC are the magnitude of electric field at O and C respectively. Then choose the correct option(s) Q.A ball of radius R is uniformly charged with the volume charge density . The electric flux across the ball’s section formed by the plane located at a distance a(less than R) from the centre of the ball will be Q. Two rods AB and BC each of mass ‘m’ and length ‘’ are connected rigidly at B and are perpendicular to each other. They lie on a frictionless horizontal surface. A particle of mass ‘m’ moving on the surface perpendicular to rod AB collides at end A with speed ‘u’. If the particle stops after collision, find the angular speed of the connected rod after collision Q. Two identical blocks B and C are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. A third identical block D is placed on the surface at a distance  to the right of block C as shown. Now a fourth identical block A moving on the surface with a velocity v0 makes a head on elastic collision with the block B. All the collisions between the blocks are elastic and head on. If the minimum value of  for which the block D moves with a velocity v0 subsequently is. (Take mass of each block is m) #inpho #ioqp #ieirodovsolutions #irodovsolutions #fluidmechaics #fluidmechanics #JEEPhysics #jeepreparation #PreviousYearProblems #jee2024 #jee2025 #jee2026 #electrostatics #jeephysics #jeepreparation #jeemains #jeeadvanced #iitjee #engineeringentrance #jeecoaching #jeeexam #jeemains2024 #jeepreptips #jeemains2025 #jeeadvanced2014 #jeeonline #jeebooks #jeephysics #JEEPractice #jeepreviousyearquestions #jeepreparationstrategy #irodovsolutions #pathfinderphysics #irodovselectedquestions #jeeexam