While doing an experiment with potcntiometc as shown in figure in was found that th deflection is one sided and (i) the detlectio, decreased while moving from one end A of the wire to the end B, (ii) the deflection increase while the jockey was moved towards the end (i) Which terminal + or - ve Of the cell E_(1) connected at X in case (i) and how is related to E ? (ii) Which terminal of the cell E_(1) is connected at X in case (ii) ?

A thin equiconvex lens of glass of refractive index mu=3//2 & of focal length 0.3m in air is sealed into an opening at one end of a tank filled with water (mu=4//3) .On the opposite side of the lens ,a mirror is placed inside the tank on the tank wall perpendicular to the lens axis ,as shown in figure .the separation between the lens and the mirror is 0.8m A small object is placed outside the tank in front of the lens at a distance of 0.9 m form the lens along its axis .Find the position (relative to the lens)of the image of the object fromed by the stsyem.

A small ball of mass m and charge q is attached to the bottom end of a piece of negligible mass thread of length l, whose top end is fixed. The system formed by the thread and ball is in vertical plane and is in uniform horizontal magnetic field B, which is perpendicular to the plane of figure and points into the paper The ball is started with a velocity v_(0) from lower most point of circle in a direction perpendicular both to the magnetic induction and to direction of thread. The ball moves along a circular path such that thread remains tight during the whole motion. Neglect any loss of enery. By what factor is the force acting on the thread (tension in thread) at point A is greater than at point C, when speed of the ball is the above stated one?

The centre of mass of a non uniform rod of length L whoose mass per unit length varies as p=kx^(2)//L , (where k is a constant and x is the distance measured form one end) is at the following distances from the same end

A string of length 1 m fixed one end and on the other end a block of mass M = 4 kg is suspended. The string is set into vibration and represented by equation y =6 sin ((pi x)/(10)) cos (100 pi t) where x and y are in cm and t is in seconds. (i) Find the number of loops formed in the string. (ii) Find the maximum displacement of a point at x = 5//3 cm (iii) Calculate the maximum kinetic energy of the string. (iv) Write down the equations of the component waves whose superposition given the wave. .