Apply the first law of thermodynamics to a resistor carrying a current `i`. Identify which of the quantities `DeltaQ`, Delta U and DeltaW` are zero, wheich are positive and which are negative.

A process in which work perfomed by an ideal gas is proportional to the corresponding increment of its internal energy is described as a polytropic process. If we represent work done by a ppolytropic process by W and increase in internal energy as Delta U then W prop Delta U or W=K_(1) DeltaU ...(i) For this process, it can be demonstrated that the relation between pressure and volume is given by the equation PV^( eta)= K_(2) (constant ) .....(ii) We know that a gas can have various values for molar specific heats. The molar specific heat 'C' for an ideal gas in polytropic process can be calculated with the help of first law of thermodynamics. In polytropic process process the variation of molar specific heat 'C' with eta for a monatomic gas is plotted as in the graph shown. For a monoatomic gas, the values of polytropic constant η for which value specific heat is negative.

A process in which work perfomed by an ideal gas is proportional to the corresponding increment of its internal energy is described as a polytropic process. If we represent work done by a ppolytropic process by W and increase in internal energy as Delta U then W prop Delta U or W=K_(1) DeltaU ...(i) For this process, it can be demonstrated that the relation between pressure and volume is given by the equation PV^( eta)= K_(2) (constant ) .....(ii) We know that a gas can have various values for molar specific heats. The molar specific heat 'C' for an ideal gas in polytropic process can be calculated with the help of first law of thermodynamics. In polytropic process process the variation of molar specific heat 'C' with eta for a monatomic gas is plotted as in the graph shown. In the graph shown, the y- coordinate of point A is ( for monatomic gas )

According to the third law of thermodynamics which one of the following quantities for a perfectly crystalline solid is zero at absolute zero? (a)Free energy (b)Entropy (c)Enthalpy (d)Internal energy

Two infinetely long, parallel wires are lying on the ground at distance a=1cm apart as shown in Fig. A third wire, of length L=10m and mass 400g, carries a current of I_1=100A and is levitated above the first two wires, at a horizontal position midway between them. The infinitely long wires carry equal currents I_1 in the same directions, but in the direction opposite that in the leviated wire. What current must the infinately long wires carry so that the three wires form an equilateral triangle?

Consider the elements: Cs, Ne, I and F a. Identify the element that exhibits only negative oxidation state. b. Identify the element that exhibits only positive oxidation state. c. Identify the element that exhibits both positive and negative oxidation states. d. Identify the element which exhibits neither the negative nor does the positive oxidation state.

Two long mutually perpendicular conductors carrying currents I_1 and I_2 lie in one plane, Find the locus of points at which the magnetic induction is zero.

A circular coil of 100 turns and effective diameter 20cm carries a current of 0.5A . It is to be turned in a magnetic field of B=2.0T from a position in which the normal to the plane of the coil makes an angle theta equals to zero to one in which theta equals to 180^(@) . The work required in this process is

The current velocity of river grows in proportion to the distance from its bank and reaches the maximum value v_0 in the middle. Near the banks the velocity is zero. A boat is moving along the river in such a manner that the boatman rows his boat always perpendicular to the current. The speed of the boat in still water is u. Find the distance through which the boat crossing the river will be carried away by the current, if the width of the river is c. Also determine the trajectory of the boat.

Depending on in which quadrant an angle theta lies, functions costheta and sintheta may be positive or negative. In the second column of the given lable are specified whether these functions are positive or negative and in the first column are specified quadrants. {:("Column-I","Column-II"),((A)" First",(P)sintheta" is positive"),((B)" Second",(Q)sintheta" is negative"),((C)" Third",(R)costheta" is negative"),((D)" Fourth",(S)tantheta" and "sintheta"both are negative"),(,(T)sectheta" is negative and "sintheta" is positive"):}

Infinite wires, each carrying a current 0.5 A, are kept parallel to y-axis and intersecting x-axis at x=+-1 m, +02 m , +-4 m , +-8m etc. Wires kept at positive values of x carry current in the same direction while wires kept at negative values of x carry current successively in opposite directions as shown in Fig. A wire is kept parallel to x-axis and intersecting y-axis at y=2 m. It carries a current i. Assuming this wire to be insulated from others then the current i in it such that magnetic induction at O is zero is (assuming each wire to be infinitely long)