Question Paper (Section wise)

A rectangular coil ( Dimension 5 cm × 2 cm ) with 100 100 turns, carrying a current of 3 A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through 45° about Z-axis, then the torque on the coil is:

Following figure shows two processes A and B for a gas. If ∆Q_A and ∆Q_B are the amount of heat absorbed by the system in two cases, and ∆U_A and ∆U_B are changes in internal energies, respectively, then:

A ball is thrown vertically up ( taken as + z-axis ) from the ground. The correct momentum height ( p-h ) diagram is:

An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is , m is its mass and k_B is Boltzmann constant, then its temperature will be:

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is  of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is:

A signal A cos ωt is transmitted using ν₀ sin ω₀t as carrier wave. The correct amplitude modulated (AM) signal is:

Determine the charge on the capacitor in the following circuit:

A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is:

For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be:

The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed of 4 km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

The number of water molecule( s ) not coordinated to copper ion directly in CuSO₄.5H₂O, is:

Among the following the set of parameters that represents path functions, is:

a.       q + w

b.      q

c.       w

d.      H - TS

The given plots represents the variation of the concentration of a reactant R with time for two different reactions ( i ) and ( ii ). The respective orders of the reactions are:

Excessive release of CO₂ into the atmosphere results in:

The correct order of the oxidation states of nitrogen in NO_, N₂O, NO₂ and N₂O₃ is:

The major product of the following reaction is: CH₃CH=CHCO₂CH₃

The element having greatest difference between its first and second ionisation energies, is

For a reaction, N_2(g) + 3H_2(g) → 2NH_3(g);identify dihydrogen (H₂) as a limiting reagent in the following reaction mixtures.

For any given series of spectral lines of atomic hydrogen, let ∆⊽ = |∆⊽_max - ∆⊽_min| difference in maximum and minimum frequencies in cm^-1. the ration ∆⊽_{Lymann /} ∆⊽_Balmer

The major product of the following reaction is:

lie on a ______

If f( x ) is a non-zero polynomial of degree four, having local extreme points at x = -1, 0, 1; then the set S = { x ϵ R; f( x ) = f( 0 ) } contains exactly:

If a tangent to the circle x² + y² = 1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid- point of PQ is:

Let f ( x ) = 15 – |x – 10|; x ϵ R. then the set of all values of x, at which the function, g( x ) = f( f( x )) is not differentiable, is:

meets the plane, x + 2y + 3z = 15 at a point P, then the distance of P from the origin is:

The value of cos² 10° – cos 10° cos 50° + cos² 50° is:

If one end of a focal chord of the parabola, y² = 16x is at (1, 4), then the length of this focal chord is: