JEE Advanced Mi...

A.DC circuit consisting of two cells of emf V and 2V having no internal resistance are connected with two capacitors of capacity C and 2C and four resistors R, R, 2R and 2R as shown in figure. The ammeter and voltmeter used in the circuit are ideal.

The reading of the ammeter as soon as the switch is closed is

An ideal diatomic gas is expanded so that the amount of heat transferred to the gas is equal to the decrease in its internal energy.

The molar specific heat of the gas in this process is given by C whose value is

A reversible cyclic process involves 6 steps. In step-1 and 3, the system absorbs 500 J and 800 J of heat from a heat reservoir at temperature 250 K (T₁) and 200 K (T₃) respectively. Step-2, 4 and 6 are adiabatic such that the temperature of one reservoir changes to that of next.

Total work done by the system in whole process is 700 J.

If total entropy change during steps-1,3 and 5 be ’x’ J/K, then the value of  is .....

A reversible cyclic process involves 6 steps. In step-1 and 3, the system absorbs 500 J and 800 J of heat from a heat reservoir at temperature 250 K (T₁) and 200 K (T₃) respectively. Step-2, 4 and 6 are adiabatic such that the temperature of one reserv oir changes to that of next.

Total work done by the system in whole process is 700 J.

If during step-5, the system exchanges heat from a reserv oir at temperature ‘T₅ K’, then value of T₁/T₂ is:

Two beaker are placed in a sealed flask. Beaker A initially contained 0.15 mol of napthalene (non-volatile) in 117 g of benzene and beaker B initially contained 31 g of an unknown compound (non-volatile, non-electrolytic) in 117 g of benzene. At equilibrium, beaker A is found to have lost 7.8 g of weight. Assume ideal behaviour of both solutions to answer the following question.

The molar mass of solute in solution B is closest to:

Two beaker are placed in a sealed flask. Beaker A initially contained 0.15 mol of napthalene (non-volatile) in 117 g of benzene and beaker B initially contained 31 g of an unknown compound (non-volatile, non-electrolytic) in 117 g of benzene. At equilibrium, beaker A is found to have lost 7.8 g of weight. Assume ideal behaviour of both solutions to answer the following question.

Now beaker B, at equilibrium, is replaced by another beaker C which contain 31 g of same solute as in B, but in different solvent X. Also moles of X in solution C is same as mol of benzene in solution B at equilibrium. When the container containing beakers A and C is closed again and allowed to attain equilibrium, beaker C has lost some weight. Which of the following can be said with guarantee ?

a, b, c are distinct and |a| + |b| = |c|, also |a + bω + cω²| is minimum (where ω is the complex cube root of unity). Now consider the lines having direction cosines connected by al + bm + cn = 0 and l² + m² - n² = 0  If a·b·c = 0, then angle between the lines is q, then 1/2 tan²θ is

a, b, c are distinct and |a| + |b| = |c|, also |a + bω + cω²| is minimum (where ω is the complex cube root of unity) . Now consider the lines having direction cosines connected by al + bm + cn = 0 and l² + m² - n² = 0 Total number of ordered triplets (a, b, c) are

Let the line  at two points A and B. If P be any v ariable point on the ellipse The number of points P on ellipse is three, when the area of the  is equal to 

Let the line  at two points A and B. If P be any v ariable point on the ellipse The number of point P on ellipse is one, when the area of  is equal to