If along a uniform rod of length `l` carrying current `i` the voltage V changes with position x along the length of the rod such that `(dV)/(dx)=-k` where k is a positive number then the resistance of the rod is

If linear density of a rod of length 3m varies as lambda = 2 + x, them the position of the centre of gravity of the rod is

A metal rod of area of cross section A has length L and coefficient of thermal conductivity K the thermal resistance of the rod is .

A uniform thin rod of length 3 L is bent at right angles at a distance L from one end as shown in Fig. If length of rod is 1.8m , find the co-ordinates and position vector of the mass of the system.

A conductor (rod) of mass m, length l carrying a current i is subjected to a magnetic field of induction B. If the coefficients of friction between the conducting rod and rail is mu, find the value of I if the rod starts sliding.

One fourth length of a uniform rod of length 2l and mass m is place don a horizontal table and the rod is held horizontal. The rod is released from rest. Find the normal reaction on the rod as soon as the rod is released.

A metal rod of length l cuts across a uniform magnetic field B with a velocity v. If the resistance of the circuit of which the rod forms a part is r, then the force required to move the rod is

" A metal rod of area of cross section A has length L and coefficient of thermal conductivity K The thermal resistance of the rod is "

A rod having length l and resistance R is moving with velocity v on a pi shape conductor. Find the current in the rod.

The mass per unit length of a non- uniform rod OP of length L varies as m=k(x)/(L) where k is a constant and x is the distance of any point on the rod from end 0 .The distance of the centre of mass of the rod from end 0 is