10. STATEMENT-1
If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant. because STATEMENT-2 The linear momentum of an isolated system remains constant.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True
Answer [Figure]
(A) [Figure]
(B)
◯
(C) [Figure]
(D)

STATEMENT-1
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. because STATEMENT-2 In an elastic collision, the linear momentum of the system is conserved.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True

11. STATEMENT-1
A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table. because STATEMENT-2 For every action there is an equal and opposite reaction.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True
Answer
[Figure]
(A)
[Figure]
(B)
[Figure]
(C)
[Figure]
(D)

1. STATEMENT-1

A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil. because STATEMENT-2 [Figure]
In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the upward direction.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True Answer
(A) [Figure]
(B) ◯
(C) [Figure]
(D)

13. STATEMENT-1
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. because STATEMENT-2 The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True Answer
[Figure]
(A)
[Figure]
(A)
[Figure] [Figure]
(B)
(C)
(D)

14. The speed of sound of the whistle is
(A) $340 \mathrm {~m} / \mathrm { s }$ for passengers in A and $310 \mathrm {~m} / \mathrm { s }$ for passengers in B
(B) $360 \mathrm {~m} / \mathrm { s }$ for passengers in A and $310 \mathrm {~m} / \mathrm { s }$ for passengers in B
(C) $310 \mathrm {~m} / \mathrm { s }$ for passengers in A and $360 \mathrm {~m} / \mathrm { s }$ for passengers in B
(D) $340 \mathrm {~m} / \mathrm { s }$ for passengers in both the trains Answer
[Figure]
(A)
[Figure]
(B)
[Figure]
(C)
[Figure]
(D)

1. The distribution of the sound intensity of the whistle as observed by the passengers in $\operatorname { train } \mathrm { A }$ is best represented by

(A) [Figure]
(B) [Figure]
(C) [Figure]
(D) [Figure]
Answer
(A)
[Figure]
(B)
[Figure]
(C)
◯
(D)

Disc A has moment of inertia $I$ and angular velocity $\omega$. Disc B has moment of inertia $2I$ and is initially at rest. 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
(A) $\frac{2I\omega}{3t}$
(B) $\frac{9I\omega}{2t}$
(C) $\frac{9I\omega}{4t}$
(D) $\frac{3I\omega}{2t}$

Disc A has moment of inertia $I$ and angular velocity $\omega$. Disc B has moment of inertia $2I$ and is initially at rest. When disc B is brought in contact with disc A, they acquire a common angular velocity. The loss of kinetic energy during the above process is
(A) $\frac{I\omega^2}{2}$
(B) $\frac{I\omega^2}{3}$
(C) $\frac{I\omega^2}{4}$
(D) $\frac{I\omega^2}{6}$

16. The spread of frequency as observed by the passengers in train B is
(A) 310 Hz
(B) 330 Hz
(C) 350 Hz
(D) 290 Hz Answer [Figure] ◯ [Figure]
(A)
(B)
(C)
(D)

17. Light travels as a
(A) parallel beam in each medium
(B) convergent beam in each medium
(C) divergent beam in each medium
(D) divergent beam in one medium and convergent beam in the other medium Answer
(A) [Figure]
[Figure]
(B)
[Figure]
(C)
(D)

18. The phases of the light wave at $c , d , e$ and $f$ are $\phi _ { c } , \phi _ { d } , \phi _ { e }$ and $\phi _ { f }$ respectively. It is given that $\phi _ { c } \neq \phi _ { f }$.
(A) $\phi _ { c }$ cannot be equal to $\phi _ { d }$
(B) $\phi _ { d }$ can be equal to $\phi _ { e }$
(C) $\left( \phi _ { d } - \phi _ { f } \right)$ is equal to $\left( \phi _ { c } - \phi _ { e } \right)$
(D) $\left( \phi _ { d } - \phi _ { c } \right)$ is not equal to $\left( \phi _ { f } - \phi _ { e } \right)$ Answer [Figure] [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

19. Speed of light is
(A) the same in medium-1 and medium-2
(B) larger in medium-1 than in medium-2
(C) larger in medium-2 than in medium-1
(D) different at $b$ and $d$
Answer
[Figure]
(A)
[Figure]
(B)
[Figure]
(C)
[Figure]
(D)

1. Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situations in Column I with the characteristics in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.

Column I

(A) The object moves on the $x$-axis under a conservative force in such a way that its "speed" and "position" satisfy $v = c _ { 1 } \sqrt { c _ { 2 } - x ^ { 2 } }$, where $c _ { 1 }$ and $c _ { 2 }$ are positive constants.
(B) The object moves on the $x$-axis in such a way that its velocity and its displacement from the origin satisfy $v = - k x$, where $k$ is a positive constant.
(C) The object is attached to one end of a mass-less spring of a given spring constant. The other end of the spring is attached to the ceiling of an elevator. Initially everything is at rest. The elevator starts going upwards with a constant acceleration $a$. The motion of the object is observed from the elevator during the period it maintains this acceleration.
(D) The object is projected from the earth's surface vertically upwards with a speed $2 \sqrt { G M _ { e } / R _ { e } }$, where, $M _ { e }$ is the mass of the earth and $R _ { e }$ is the radius of the earth. Neglect forces from objects other than the earth.

Column II

(p) The object executes a simple harmonic motion.
(q) The object does not change its direction.
(r) The kinetic energy of the object keeps on decreasing.
(s) The object can change its direction only once.
Answer [Figure]

OR

[Figure]

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 $4\times4$ matrix given in the ORS.
Column I
(A) $GM_eM_s$ $G$ - universal gravitational constant, $M_e$ - mass of the earth, $M_s$ - mass of the Sun
(B) $\frac{3RT}{M}$ $R$ - universal gas constant, $T$ - absolute temperature, $M$ - molar mass
(C) $\frac{F^2}{q^2B^2}$ $F$ - force, $q$ - charge, $B$ - magnetic field
(D) $\frac{GM_e}{R_e}$ $G$ - universal gravitational constant, $M_e$ - mass of the earth, $R_e$ - radius of the earth
Column II
(p) (volt)(coulomb)(metre)
(q) (kilogram)(metre)$^3$(second)$^{-2}$
(r) (metre)$^2$(second)$^{-2}$
(s) (farad)(volt)$^2$(kg)$^{-1}$

21. Two wires each carrying a steady current $I$ are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.

Column I

(A) Point P is situated midway between the [Figure] wires.
(B) Point P is situated at the mid-point of the line joining the centers of the circular wires, which have same radii. [Figure]
(C) Point P is situated at the mid-point of the line joining the [Figure] centers of the circular wires, which have same radii.
(D) Point P is situated at the common center of the wires.

Column II

(p) The magnetic fields ( $B$ ) at P due to the currents in the wires are in the same direction.
(q) The magnetic fields ( $B$ ) at P due to the currents in the wires are in opposite directions.
(r) There is no magnetic field at P .
(s) The wires repel each other.
Answer [Figure]

OR

[Figure]

22. Column I gives some devices and Column II gives some processes on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.

Column I

(A) Bimetallic strip
(B) Steam engine
(C) Incandescent lamp
(D) Electric fuse

Column II

(p) Radiation from a hot body
(q) Energy conversion
(r) Melting
(s) Thermal expansion of solids

Answer A - 's, q' OR ' s' alone

1. Consider a titration of potassium dichromate solution with acidified Mohr's salt solution using diphenylamine as indicator. The number of moles of Mohr's salt required per mole of dichromate is
   (A) 3
   (B) 4
   (C) 5
   (D) 6

Answer
[Figure]
(A)
[Figure]
(B)
[Figure]
(C)
[Figure]
(D)

24. Among the following metal carbonyls, the $\mathrm { C } - \mathrm { O }$ bond order is lowest in
(A) $\left[ \mathrm { Mn } ( \mathrm { CO } ) _ { 6 } \right] ^ { + }$
(B) $\left[ \mathrm { Fe } ( \mathrm { CO } ) _ { 5 } \right]$
(C) $\left[ \mathrm { Cr } ( \mathrm { CO } ) _ { 6 } \right]$
(D) $\left[ \mathrm { V } ( \mathrm { CO } ) _ { 6 } \right] ^ { - }$ Answer ◯
(A)
(B)
(C)
(D)

25. A solution of a metal ion when treated with KI gives a red precipitate which dissolves in excess KI to give a colourless solution. Moreover, the solution of metal ion on treatment with a solution of cobalt(II) thiocyanate gives rise to a deep blue crystalline precipitate. The metal ion is
(A) $\mathrm { Pb } ^ { 2 + }$
(B) $\mathrm { Hg } ^ { 2 + }$
(C) $\mathrm { Cu } ^ { 2 + }$
(D) $\mathrm { Co } ^ { 2 + }$ Answer
[Figure]
(A)
[Figure]
(A)
[Figure]
(C)
[Figure]
(B)
(D)

26. Cyclohexene on ozonolysis followed by reaction with zinc dust and water gives compound $\mathbf { E }$. Compound $\mathbf { E }$ on further treatment with aqueous KOH yields compound $\mathbf { F }$. Compound $\mathbf { F }$ is
(A) [Figure]
(B) [Figure]
(C) [Figure]
(D) [Figure] Answer O O $\begin{array} { l l l l } \text { (A) } & \text { (B) } & \text { (C) } & \text { (D) } \end{array}$

27. The number of stereoisomers obtained by bromination of trans-2-butene is
(A) 1
(B) 2
(C) 3
(D) 4 Answer [Figure]
(A) [Figure]
(B) O
(C) [Figure]
(D)

28. Among the following, the least stable resonance structure is
(A) [Figure]
(B) [Figure]
(C) [Figure]
(D) [Figure] Answer [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

29. A positron is emitted from ${ } _ { 11 } ^ { 23 } \mathrm { Na }$. The ratio of the atomic mass and atomic number of the resulting nuclide is
(A) $22 / 10$
(B) $22 / 11$
(C) $23 / 10$
(D) $23 / 12$ Answer [Figure]
(A) [Figure]
(B) [Figure]
(C) [Figure]
(D)

30. For the process $\mathrm { H } _ { 2 } \mathrm { O } ( l ) ( 1$ bar, $373 \mathrm {~K} ) \rightarrow \mathrm { H } _ { 2 } \mathrm { O } ( g ) ( 1$ bar, $373 \mathrm {~K} )$, the correct set of thermodynamic parameters is
(A) $\Delta \mathrm { G } = 0 , \Delta \mathrm {~S} = + \mathrm { ve }$
(B) $\Delta \mathrm { G } = 0 , \Delta \mathrm {~S} = - \mathrm { ve }$
(C) $\Delta \mathrm { G } = + \mathrm { ve } , \Delta \mathrm { S } = 0$
(D) $\Delta \mathrm { G } = - \mathrm { ve } , \Delta \mathrm { S } = + \mathrm { ve }$ Answer O [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

The value of $\log_{10}\mathrm{K}$ for a reaction $\mathrm{A} \rightleftharpoons \mathrm{B}$ is (Given: $\Delta_{\mathrm{r}}\mathrm{H}^\circ_{298\mathrm{K}} = -54.07\,\mathrm{kJ\,mol^{-1}}$, $\Delta_{\mathrm{r}}\mathrm{S}^\circ_{298\mathrm{K}} = 10\,\mathrm{JK^{-1}\,mol^{-1}}$ and $\mathrm{R} = 8.314\,\mathrm{JK^{-1}\,mol^{-1}}$; $2.303 \times 8.314 \times 298 = 5705$)
(A) 5
(B) 10
(C) 95
(D) 100

31. Consider a reaction $\mathrm { aG } + \mathrm { bH } \rightarrow$ Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is
(A) 0
(B) 1
(C) 2
(D) 3

Answer

[Figure]
(A)
[Figure]
(B)
[Figure]
(C)
[Figure]
(D)

1. STATEMENT-1 : Alkali metals dissolve in liquid ammonia to give blue solutions. because

STATEMENT-2 : Alkali metals in liquid ammonia give solvated species of the type $\left[ \mathrm { M } \left( \mathrm { NH } _ { 3 } \right) _ { \mathrm { n } } \right] ^ { + }$( $\mathrm { M } =$ alkali metals).
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True; Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True
Answer ◯
(A) O
(B) ◯
(C) O
(D)

33. STATEMENT-1 : Glucose gives a reddish-brown precipitate with Fehling's solution. because
STATEMENT-2 : Reaction of glucose with Fehling's solution gives CuO and gluconic acid.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True Answer O [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

34. STATEMENT-1 : Molecules that are not superimposable on their mirror images are chiral. because STATEMENT-2 : All chiral molecules have chiral centres.
(A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement-1 is True, Statement-2 is False
(D) Statement-1 is False, Statement-2 is True
Answer O
(A) O
(B) O
(C) ◯
(D)