Question Paper (Section wise)

The following bodies are made to roll up ( without slipping ) the same inclined plane from a horizontal place: (i) a ring of radius R, (ii) a solid cylinder of radius and (iii) a solid sphere of radius . If, in each case, the speed of the center of mass at bottom of the incline is same, the ratio of the maximum heights they climb is:

An NPN transistor is used in common emitter configuration as an amplifier with 1 kΩ load resistance. Signal voltage of 10 mV is applied across the base-emitter. This produces a 3 mA change in the collector current and 15 μA change in the base current of the amplifier. The input resistance and voltage gain are:

A uniform cable of mass ‘M’ and length ‘L’ is placed on a horizontal surface such that its   part is hanging below the edge of the surface. To lift the hanging part of the cable up to the surface, the work done should be:

A system of three charges are placed as shown in the figure:

If D >> d, the potential energy of the system is best given by:

The electric field of light wave is given as.This light falls on a metal plate of work function 2eV. The stopping potential of the photoelectrons is

In the density measurement of a cube, the mass and edge length are measured as ( 10.00 ± 0.10 ) kg and ( 0.10 ± 0.01 ) m, respectively. The error in the measurement of density is:

The total number of turns and cross-section area in solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to:

A moving coil galvanometer has resistance 50 Ω and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a 5 kΩ resistance. The maximum voltage, that can be measured using this voltmeter, will be close to:

If ‘M’ is the mass of water that rises in a capillary tube of radius ‘r’, then mass of water which will rise in a capillary tube of radius ‘2r’ is:

The figure shows a Young’s double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gets shifted by a distance equal to n fringe widths. If the wavelength of light used is λ t will be:

Magnesium powder burns in air to give:

Consider the van der Waals constants, a and b, for the following gases.

Which gas is expected to have the highest critical temperature?

The aerosol is a kind of colloid in which:

The organic compound that gives following qualitative analysis is:

The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M BaCl₂ in water. Assuming complete dissociation of the given ionic compounds in water , the concentration of XY ( in mol L^-1 ) in solution is

The one that will show optical activity is: ( en = ethane -1, 2- diamine )

Liquid ‘M’ and liquid ‘N’ form an ideal solution. The vapour pressures of pure liquids ‘M’ and ‘N’ are 450 and 700 mm Hg, respectively at the same temperature. Then correct statement is:

( x_M = mole fraction of ‘M’ in solution; x_N = mole fraction of ‘N’ in solution;

y_m = mole fraction of ‘M’ in vapour phase; y_N = mole fraction of ‘N’ in vapour phase )

The major product of the following reaction is:

The ore that contains the metal in the form of fluoride is:

The correct IUPAC name of the following compounds is

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then:

For any two statements p and q, the negation of the expression p ˅ ( ∼ p ˄ q ) is:

If the fourth term in the Binomial expansion of

If the tangent to the curve, y = x³ + ax – b at the point ( 1, -5 ) is perpendicular to the line, -x + y + 4 = 0, then which one of the following points lies on the curve?