Two rods X and Y are of equal lengths. Each rod has its ends at temperature `T_1` and `T_2`. What is the condition that will ensure equal rate of flow of heat through the rods X and Y?

If X and Y are two non-empty sets, then what is (X - Y)' equal to

Two wires X and Y are of equal length and have equal resistance. If the resistivity of X is more than that of Y which wire is thicker and why? For the electric circuit given below calculate current in each resistor.

Two closed vessels of equal volume containing air at pressure P_(1) and temperature T_(1) are connected to each other through a narrow tube. If the temperature in one of the vessels is now maintained at T_(1) and that in the other at T_(2) , what will be the pressure in the vessels?

Two particles , each of mass m and charge q, are attached to the two ends of a light rigid rod of length 2 R . The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod

Two spheres each of mass M and radius R//2 are connected with a massless rod of lenth 2R as shown in fig.What will be the oment of inertia of the system about an axis passing through the centre of one of the spheres and prependicular to the rod?

A rod of length 12 cm moves with its ends alwaystouching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.

A rod of length 12 cm moves with its ends always touching the coordinates axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end-in contact with x-axis.

An equilateral triangle ABC is formed by two Cu rods AB and BC and one Al rod. It is heated in such a way taht temperature of each rod increases by DeltaT . Find change in the angle ABC. [Coeff. of linear expansion for Cu is a_1 , Coeff. of linear expansion for Al is a_2l

A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires. What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero?

Point masses m_1 and m_2 are placed at the opposite ends of a rigid rod of length L, and nelgligible mass. The rod is to be set rotating about an axis perpendicular to it. Find the position on this rod through which the axis should pass in order that the work required to set the rod rotating with angular velocity omega_0 should be minimum.