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1. All questions are of objective type (multiple choice questions); each question with choice of four answers.. 2. Each correct answer fetches 4 mark, while each incorrect answer has a penalty of 1 mark. .

End Test Now

A circuit is connected as shown in the figure with the switch S open. When the switch is closed the total amount of charge that flows from Y to X is

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.

No potential difference appears between the two cylinders when same charge density is given to both the cylinders.

A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.

No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.

In the options given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is

In an experiment to determine the focal length (f) of a concave mirror by the uâ€“v method, a student places the object pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the right of the object pin. Then,

The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

1648 nm

823 nm

1882 nm

802 nm

A resistance of is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than , is connected across the other gap. When these resistance are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is

A ray of light travelling in water is incident on its surface open to air. The angle of incidence is Î¸, which is less than the critical angle. Then there will be

a reflected ray and a refracted ray and the angle between them would be greater than

only a reflected ray and no refracted ray

a reflected ray and a refracted ray and the angle between them would be less than

only a refracted ray and no reflected ray

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then,

negative and distributed uniformly over the surface of the sphere

negative and appears only at the point on the sphere closest to the point charge

negative and distributed non-uniformly over the entire surface of the sphere

zero

SECTION â€“ II

Instruction for Question No. 10 to 13 Each question contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

STATEMENT-1The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.becauseSTATEMENT-2*Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.

Statement -1 is False, Statement-2 is True.

Statement -1 is True, Statement-2 is False.

Statement-1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.

STATEMENT-1If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic X-rays do not change.becauseSTATEMENT -2When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is converted into X-ray energy.

STATEMENT-1 A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to an angle of 300 with the horizontal and the same block is made to go up on the surface with the same initial velocity v. The decrease in the mechanical energy in the second situation is smaller than that in the first situation.becauseSTATEMENT-2The coefficient of friction between the block and the surface decreases with the increase in the angle of inclination.

Statement -1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for statement-1.

Statement -1 is True, Statement-2 is True; Statement-2 is a correct explanation for statement-1.

STATEMENT-1In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.becauseSTATEMENT-2In an elastic collision, the linear momentum of the system is conserved.

Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.

Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.

Paragraph for Question Nos. 14 to 16A fixed thermally conducting cylinder has a radius R and height . The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is . The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be

While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is

Paragraph for Next 3 Questions Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia and respectively about the common axis. Disc A is imparted an initial angular velocity using the entire potential energy of a spring compressed by a distance . Disc B is imparted an angular velocity by a spring having the same spring constant and compressed by a distance . Both the discs rotate in the clockwise direction. The ratio of is

When disc B is brought in contact with disc A, they acquire a common angular velocity in time t. The average frictional torque on one disc by the other during this period is

The loss of kinetic energy during the above process is

Section – IV

Instruction for Next 3 Questions

Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by darkening appropriate bubbles in the 4 Ã— 4 matrix given in the ORS.

Choose the answer from the given option : – 1. (A) (p) & (q), (B) (r) & (s), (C) (r) & (s), (D) (r) & (s). 2. (A) (p) & (q), (B) (p) & (s), (C) (r) & (s), (D) (r) & (s). 3. (A) (p) & (q), (B) (p) & (s), (C) (q) & (s), (D) (r) & (s). 4. (A) (p) & (q), (B) (p) & (s), (C) (r) & (s), (D) (p) & (r).

4

3

1

2

Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the 4 Ã— 4 matrix given in the ORS.

Choose the answer from the given option : – 1. (A) (p) & (r), (B) (p) & (s), (C) (s), (D) (r) 2. (A) (p) & (r), (B) (q) & (s), (C) (p), (D) (q) 3. (A) (p) & (q), (B) (p) & (s), (C) (q) & (s), (D) (r) & (s). 4. (A) (p) & (q), (B) (p) & (s), (C) (r) & (s), (D) (p) & (r).

Column I gives certain situations in which a straight metallic wire of resistance R is used and Column II gives some resulting effects. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the 4 X 4 matrix given in the ORS.

Choose the answer from the given option : - 1. (A) (q), (B) (r) & (s), (C) (r) & (s), (D) (p),(q) & (r) 2. (A) (p) & (r), (B) (q) & (s), (C) (p), (D) (s) 3. (A) (p) & (q), (B) (p) & (s), (C) (q) & (s), (D) (r) & (s). 4. (A) (p) & (q), (B) (p) & (s), (C) (r) & (s), (D) (p) & (s).

Section – 1

The number of structural isomers for is

6

5

In the following reaction,

the structure of the major product â€˜Xâ€™ is

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When of naphthoic acid is dissolved in 50 g of benzene , a freezing point depression of is observed. The van’t Hoff factor is

0.5

Among the following, the paramagnetic compound is

The value of for a reaction is (Given :,

10

95

100

The species having bond order different from that in CO is

The percentage of p-character in the orbitals forming Pâˆ’P bonds in is

25

50

33

75

Extraction of zinc from zinc blende is achieved by

electrolytic reduction

roasting followed by reduction with carbon

roasting followed by self-reduction

roasting followed by reduction with another metal

The reagent(s) for the following conversion,

Is/are

aqueous followed by

alcoholic

alcoholic followed by

Section – II

This section contains 4 questions. Each question contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason).

STATEMENT-1: p-Hydroxybenzoic acid has a lower boiling point than o-hydroxybenzoic acid. because STATEMENT-2: o-Hydroxybenzoic acid has intramolecular hydrogen bonding.

Statement-1 is True, Statement -2 is False.

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is False, Statement-2 is True.

STATEMENT-1: Micelles are formed by surfactant molecules above the critical micellar concentration (CMC). because STATEMENT-2: The conductivity of a solution having surfactant molecules decreases sharply at the CMC.

Statement-1 is True, Statement-2 is False.

STATEMENT-1: Boron always forms covalent bond. because STATEMENT-2: The small size of B3+ favours formation of covalent bond.

Statement-1 is True, Statement-2 is True.

STATEMENT-1: In water, orthoboric acid behaves as a weak monobasic acid. because STATEMENT-2: In water, orthoboric acid acts as a proton donor.

Statement-1is True, Statement-2 is False.

The total number of moles of chlorine gas evolved is

2.0

1.0

3.0

If the cathode is a Hg electrode, the maximum weight (g) of amalgam formed from this solution is

446

200

400

225

The total charge (coulombs) required for complete electrolysis is

48250

193000

24125

96500

Paragraph for Next 3 Question The noble gases have closed-shell electronic configuration and are monoatomic gases under normal conditions. The low boiling points of the lighter noble gases are due to weak dispersion forces between the atoms and the absence of other interatomic interactions. The direct reaction of xenon with fluorine leads to a series of compounds with oxidation numbers +2, +4 and +6. reacts violently with water to give . The compounds of xenon exhibit rich stereochemistry and their geometries can be deduced considering the total number of electron pairs in the valence shell. Argon is used in arc welding because of its

flammability

high calorific value

ability to lower the melting point of metal

low reactivity with metal

The structure of is

planar

linear

pyramidal

T-shaped

reducing

unreactive

strongly basic

oxidizing

This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column-I have to be matched with statements (p, q, r, s) in Column-II. The answers to these questions have to be appropriately bubbled as illustrated in the following example. If the correct matches are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:

Match the complexes in Column-I with their properties listed in Column-II. Indicate your answer by darkening the appropriate bubbles of the 4 Ã— 4 matrix given in the ORS.

Choose correct answer from the given option

1 2 3 4

Match gases under specified conditions listed in Column-I with their properties/laws in Column-II. Indicate your answer by darkening the appropriate bubsbles of the 4 Ã— 4 matrix given in the ORS.

Choose the correct Answer from the given option

1. 2. 3. 4.

Choose the correct answer from the given option

Section – I

This section contains 9 multiple choice questions numbered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

A hyperbola, having the transverse axis of length , is confocal with the ellipse . Then its equation is

The tangent to the curve drawn at the point intersects the line joining the points and

on the right of

at all points

on the left of

at no point

A man walks a distance of 3 units from the origin towards the north-east direction. From there, he walks a distance of 4 units towards the north-west direction to reach a point P. Then the position of P in the Argand plane is

Let be differentiable on the interval such that , and

The number of solutions of the pair of equations

in the interval is

two

one

four

Let be the roots of the equation and , be the roots of the equation Then the value of r is

The number of distinct real values of , for which the vectors and are coplanar, is

three

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is

1/2

1/3

1/5

2/5

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This section contains 4 questions. Each question contains STATEMENT âˆ’ 1 (Assertion) and STATEMENT -2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct.

Each question contains STATEMENT âˆ’ 1 (Assertion) and STATEMENT -2 (Reason). Each question has 4 choices Choose the correct answer from given option. Let the vectors and represent the sides of a regular hexagon. STATEMENT -1 : because STATEMENT -2 : and

Statement -1 is True, Statement -2 is False

Statement -1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1

Statement -1 is False, Statement -2 is True

Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1

Let be an indefinite integral of . STATEMENT -1 : The function satisfies for all real . because STATEMENT -2 : for all real .

Let be mutually exclusive and exhaustive events with Let E be any other event with . STATEMENT -1 : for because STATEMENT -2 :

Statement -1 is True, Statement -2 is true; Statement-2 is a correct explanation for Statement-1

Tangents are drawn from the point (17, 7) to the circle STATEMENT -1 : The tangents are mutually perpendicular. because STATEMENT -2 : The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is

Statement -1 is True, Statement -2 is true; Statement-2 is NOT a correct explanation for Statement-1

Section – III

Linked Comprehension Type

This section contains 2 paragraphs 58âˆ’60 and 61âˆ’63. Based upon each paragraph, 3 multiple choice questions have to be answered. Each question has 4 choice (A), (B), (C) and (D), out of which ONLY ONE is correct.

Consider the circle and the parabola . They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the x-axis at S.

The ratio of the areas of the triangles PQS and PQR is

The radius of the circumcircle of the triangle PRS is

The radius of the incircle of the triangle PQR is

8/3

Paragraph for next 3 questions

Let denote the sum of the first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is . Let

The sum is

a prime number

an odd number

a composite number

an even number

Which one of the following is a correct statement?

Matrix-Match Type

This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in Column I have to be matched with statements (p, q, r, s) in Column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example.

If the correct matches are Aâˆ’p, Aâˆ’s, Bâˆ’q, Bâˆ’r, Câˆ’p, Câˆ’q and Dâˆ’s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:

Consider the following linear equations

A â€“ s, B â€“ q, C â€“ p, D â€“ r

A â€“ r, B â€“ q, C â€“ p, D â€“ s

A â€“ q, B â€“ r, C â€“ p, D â€“ s

A â€“ r, B â€“ p, C â€“ q, D â€“ s

A-s, B-s, C-p, D-r

A-s, B-s, C-r, D-q

A-s, B-q, C-p, D-r

A-p, B-s, C-p, D-r

In the following [x] denotes the greatest integer less than or equal to x. Match the functions in Column I with the properties Column II and indicate your answer by darkening the appropriate bubbles in the 4 Ã— 4 matrix given in the ORS.

A-p,s : B-p,r : C-r,s, : D – p,q

A-p,q,r : B-p,s : C-p,q, : D – r,s

A-q,r : B-p,s : C-r,s, : D – r,q

A-p,q,r : B-p,s : C-r,s, : D – p,q

When you are sure that you have answered as many questions as possible, click the ‘Done’ button below and view your results.