End Test Now

A loop carrying current I lies in the x-y plane as shown in the figure. the unit vector is coming out of the plane of the paper. the magnetic moment of the current loop is :

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

more than half filled if is less than 0.5

more than half filled if is less than 1.0

half filled if is less than 0.5

less than half filled if is less than 0.5

An infinitely long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density along is length. Themagnitude of themagnetic field, as a function of the radial distance r from the axis is best represented by :

Consider a disc rotating in the horizontal plane with a constant angular speed about its centre O. The disc has a shaded region on one side of the diameter and an unshaded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the y-z plane and is same for both pebbles with respect to the disc. Assume that (i) they land back on the disc before the disc completed rotation. (ii) their range is less than half disc radius, and (iii) remains constant throughout . Then

P lands in the shaded region and Q in the unshaded region

P lands in the unshaded region and Q in the shaded region

Both P and Q land in the unshaded region

Both P and Q land in the shaded region

A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm . The distance frequency of the tuning for k is 512 Hz. The air temperature is C in which the speed of sound is 336 m/s. The zero of the meter scale coincides with the top and of the Resonance column. When first resonance occurs, the reading of the water level in the column is

14.0

15.2

16.4

17.6

In the given circuit, a charge of +80 C is given to the upper plate of the 4F capacitor. Then in the steady state, the charge on the upper plate of the 3F capacitor is :

+32 C

+40 C

+48 C

+80 C

Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed . The disc are in the same horizontal plane.At time t = 0 , the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is . as function of times best represented by

Two moles of ideal helium gas are in a rubber balloon at C .The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to C.The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)

62J

104 J

124 J

208 J

Zero

Much less than 0.8 x eV

Nearly 0.8 x eV

Much larger than 0.8 x eV

If the anti-neutrino had amass of (where c is the speed of light) instead of zeromass, what should be the range of the kinetic energy, K, of the electron ?

The speed of light in the meta-material is v = c|n|

The speed of light in the meta-material is v =

The speed of light in the meta-material is v = c.

The wavelength of the light in the meta-material is given by |n|, where is the wavelength of the light in air.

For light incident from air on a meta-material, the appropriate ray diagram is :

It is for both the cases

it is for case (a); and for case (b).

it is for case (a); and for case (b)

Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct?

It is vertical for both the cases (a) and (b).

It is verticle for case (a); and is at to the x-z plane and lies in the plane of the disc for case (b)

It is horizontal ofr case (a); and is at to the x – z plane and is normal to the plane of the disc for case (b).

It is vertical of case (a); and is at to the x – z plane and is normal to the plane of the disc for case (b).

Two solid cylinders P andQ of samemass and same radius start rolling down a fixed inclined plane form the same height at the same time. Cylinder P has most of its mass concentrated near its surface, while Q has most of its mass concentrated near the axis. Which statement (s) is (are) correct?

Both cylinders P and Q reach the ground at the same time

Cylinder P has larger linear acceleration than cylinder Q.

Both cylinder Q reaches the ground with same translational kinetic energy.

Cylinder Q reaches the ground with larger angular speed.

A current carrying infinitely long wire is kept along the diameter of a circular wire loop,without touching it. The correct statement (s) is (are) :

the emf induced in the loop is zero if the current is constant.

The emf induced in the loop is finite if the current is constant.

The emf induced in the loop is zero if the current decreases at a steady rate.

Theemf induced in the loop is finite if the current decreases at a steady rate.

In the given circuit, theAC source has = 100 rad/s. considering the inductor and capacitor to be ideal, the correct choice (s) is(are)

The current through the circuit, I is 0.3 A

The current through the circuit, I is 0.3 A.

The voltage across resistor = V

The voltage across resistor = 10V

Six point charges are kept at the vertices of a regular hexagon of side L and centre O, as shown in the figure. Given that , which of the following statement (s) is (are) correct ?

the elecric field at O is 6K along OD

The potential at O is zero

The potential at all points on the line PR is same

The potential at all points on the line ST is same.

Two spherical planets P and Q have the same unfirom density ,masses , an surface areas A and 4A, respectively. A spherical planet R also has unfirom density and its mass is . The escape velocities from the planets P, Q and R, are and V respectivley. Then

The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed and (ii) an inner disc of radius 2R rotating anti-clockwisewith angular speed /2. The ring and disc are separated b frictionaless ball bearings. The system is in the x-z plane. The point P on the inner disc is at distance R from the origin, whereOPmakes an angle of with the horizontal. Then with respect to the horizontal surface,

the point O has linear velocity 3R

the point P has a linear velocity Rw R

the point P has linear velocity Rw R

The point P has a linear velocity Rw Rw

tetrahedral and tetrahedral

square planar and square planar

tetrahedral and square planar

square planar and tetrahedral

The reaction of white phosphorous with aqueous NaOH gives phosphine along with another phosphorus containing compound. The reaction type; the oxidation states of phosphorous in phosphine and the other product are respectively

redox reaction; – 3 and -5

redox reaction ; 3 and + 5

disproportionation reaction ; – 3 and + 5

disproportionation reaction; – 3 and + 3

In the cyanide extraction process of silver from argentite ore, the oxidizing and reducing agents used are

The compound that undergoes decarboxlylation most readily under mild condition is

Using the data provided, calculate the multiple bond energy of a bond . That energy is (take the bond energy of a C-H bond as 350 kJ )

1165

837

865

815

The shape of molecule is

trigonal bipyramidal

square plannar

tetrahedral

see-saw

Themajor product H in the given reaction sequence is

For a dilute solution containing 2.5 g of a non- volatile non- electrolyte solute in 100 g of water, the elevation in boiling point at 1 atm pressure is . Assuming concentration of solute is much lower than the concentration of solvent, the vapour pressure (mm of Hg) of the solution is (take = 0.76 K kg )

724

740

736

718

The value of for the given cell is (take 1F = 96500 C )

- 5.7

5.7

11.4

- 11.4

0.48 M

0.96 M

0.24 M

0.024 M

Bleaching powder contains a salt of an oxoacid as one of its components. The anhydride of that oxoacid is

In the following reactions sequence, the compound J is an intermediate.J gives effervescence on treatment with and positive Baeyer’s testThe compound K is

The compound I is

With respect to graphite and diamond, which of the statement(s) given below is (are) correct ?

Graphite is harder than diamond.

Graphite has higher electrical conductivity than diamond

Graphite has higher thermal conductivity than diamond

Graphite has higher C-C bond order than diamond

The given graph / data I, II, III and IV represent general trends observed for different physisorption and chemisorption processes under mild conditions of temperature and pressure.Which of the following choice (s) about I, II, III and IV is (are) correct

I is physisorption and II is chemisorption

I is physisorption and III is chemisorption

IV is chemisorption and II is chemisorption

IV is chemisorption and III is chemisorption

The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is (are) correct ?

For the given aqueous reaction which of the statement(s) is (are) true ?

The first reaction is a redox reaction

White precipitate is

Addition of filtrate to starch solution gives blue colour.

White precipitate is soluble in NaOH solution

With reference to the scheme given, which of the given statments(s) about T, U, V andW is (are) correct?

T is soluble in hot aqueous NaOH

U is optically active

Molecular formula ofW is

V gives effervescence on treatment with aqueous

Which of the given statement(s) about N, O, P and Q with respect to M is (are) correct ?

M and N are non-mirror image stereoisomers

M and O are identical

Mand P are enantiomers

M and Q are identical

The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x – y + z = 3 and at a distance from the point (3, 1, – 1) is

5x – 11y + z = 17

x + y + z =

If are vectors such that , then a possible value of . is

0

3

4

8

Let PQR be a triangle of area with a = 2, b = and c = , where a, b and c are the lengths of the sides of the triangle opposite to the angles at P, Q and R respectively. Then equals

Four fair dice each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that shows a number appearing on one of is

If P is a 3×3 matrix such that = 2P + I, where is the transpose of P and I is the 3×3 identity matrix,

PX = X

PX = 2X

PX = – X

Let .... be in harmonic progression with = 5 and = 25. The least positive integer n for which < 0 is

22

23

24

25

Let (a) and (a) be the roots of the equation = 0 where a > -1.

Which of the following is true ?

g is increasing on

g is decreasing on

g is increasing on (1, 2) and decreasing on

g is decreasing on (1, 2) and increasing on

Consider the statements : P : There exists some x such that f(x) + 2x = Q : There exists some x such that 2f(x) + 1 = 2x(1 + x) Then

both P and Q are true

P is true and Q is false

P is false and Q is true

both P and Q are false

The value of is

7

9

11

x = 4

y = 2

x + y = 4

x + 2 y = 6

A possible equation of L is

x – y = 1

x + y = 1

x – y = -1

x + y = 5

Let X and Y be two events such that P(X | Y) = , P(Y | X) = and P(X Y) = . Which of the following is (are) correct ?

P(X Y) =

X and Y are independent

X and Y are not independent

f has a local maximum at x = 2

f is decreasing on (2, 3)

there exists some c such that f’’ (c) = 0

f has a local minimum at x = 3

If the straight lines = = and = = are coplanar, then the plane(s) containing these two lines is(are)

y + 2z = -1

y + z = -1

y – z = -1

y – 2z = -1

If the adjoint of a 3×3 matrix P is , then the possible value(s) of the determinant of P is (are)

- 2

- 1

1

2

is (are)

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