A rod of length `L` and cross-sectional area `A` lies along the x-axis between x=`L` and x=`2L`. Resistivity of rod varies according to law `rho= rho_(0)(x)/(L)` If the rod is subjected to potential difference `V_(0)` ,then current in the rod is

A rod of length L and cross-section area A lies along the x-axis between x=0 and x=L . The material obeys Ohm's law and its resistivity varies along the rod according to rho(x) = rho_0 epsilon^(-x//L) . The end of the rod x=0 is at a potential V_0 and it is zero at x=L . (a) Find the total resistance of the rod and the current in the wire. (b) Find the electric potential in the rod as a function of x .

A uniform cylindrical rod of length L and cross-sectional area by forces as shown in figure. The elongation produced in the rod is

A rod of length L is placed along the X-axis between x=0 and x=L . The linear density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx. a.) Find the SI units of a and b b.) Find the mass of the rod in terms of a,b, and L.

A rod of length L is placed along the x-axis between x=0 and x=L . The linear mass density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx . Here, a and b are constants. Find the position of centre of mass of this rod.

Two cylindrical rods of same cross-section area and same length are connected in series to an ideal cell as shown.The resistivity of left rod is rho and that if right rod is 2 rho Then the variation of potential and electric field at any point P distant x from left end of combined rod system are given by

A metal rod of length 'L' and cross-sectional area 'A' is heated through 'T'^(@)C What is the force required to prevent the expansion of the rod lengthwise ?

A rod of length L and cross section area A has variable density according to the relation rho (x)=rho_(0)+kx for 0 le x le L/2 and rho(x)=2x^(2) for L/2 le x le L where rho_(0) and k are constants. Find the mass of the rod.

A metallic rod of length l and cross-sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y,then the work done is proportional to

A thin rod of length L is lying along the x-axis with its ends at x=0 and x=L its linear (mass/length) varies with x as k(x/L)^n , where n can be zero of any positive number. If to position x_(CM) of the centre of mass of the rod is plotted against 'n', which of the following graphs best apporximates the dependence of x_(CM) on n?

A rod PQ of length L revolves in a horizontal plane about the axis YY´. The angular velocity of the rod is w. If A is the area of cross-section of the rod and rho be its density, its rotational kinetic energy is