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)

35. STATEMENT-1 : Band gap in germanium is small. because STATEMENT-2 : The energy spread of each germanium atomic energy level is infinitesimally small.
(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] [Figure] [Figure] [Figure]
(A)
(B)
(C)
(D)

36. Among the following, identify the correct statement.
(A) Chloride ion is oxidised by $\mathrm { O } _ { 2 }$
(B) $\mathrm { Fe } ^ { 2 + }$ is oxidised by iodine
(C) Iodide ion is oxidised by chlorine
(D) $\mathrm { Mn } ^ { 2 + }$ is oxidised by chlorine
Answer
[Figure]
(A)
[Figure]
(A)
[Figure]
(B)
(C)
(D)

37. While $\mathrm { Fe } ^ { 3 + }$ is stable, $\mathrm { Mn } ^ { 3 + }$ is not stable in acid solution because
(A) $\mathrm { O } _ { 2 }$ oxidises $\mathrm { Mn } ^ { 2 + }$ to $\mathrm { Mn } ^ { 3 + }$
(B) $\mathrm { O } _ { 2 }$ oxidises both $\mathrm { Mn } ^ { 2 + }$ to $\mathrm { Mn } ^ { 3 + }$ and $\mathrm { Fe } ^ { 2 + }$ to $\mathrm { Fe } ^ { 3 + }$
(C) $\mathrm { Fe } ^ { 3 + }$ oxidises $\mathrm { H } _ { 2 } \mathrm { O }$ to $\mathrm { O } _ { 2 }$
(D) $\mathrm { Mn } ^ { 3 + }$ oxidises $\mathrm { H } _ { 2 } \mathrm { O }$ to $\mathrm { O } _ { 2 }$

Answer

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

38. Sodium fusion extract, obtained from aniline, on treatment with iron(II) sulphate and $\mathrm { H } _ { 2 } \mathrm { SO } _ { 4 }$ in presence of air gives a Prussian blue precipitate. The blue colour is due to the formation of
(A) $\mathrm { Fe } _ { 4 } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] _ { 3 }$
(B) $\mathrm { Fe } _ { 3 } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] _ { 2 }$
(C) $\mathrm { Fe } _ { 4 } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] _ { 2 }$
(D) $\mathrm { Fe } _ { 3 } \left[ \mathrm { Fe } ( \mathrm { CN } ) _ { 6 } \right] _ { 3 }$
Answer
(A)
(B)
(C)
(D)

39. Which one of the following reagents is used in the above reaction?
(A) aq. $\mathrm { NaOH } + \mathrm { CH } _ { 3 } \mathrm { Cl }$
(B) aq. $\mathrm { NaOH } + \mathrm { CH } _ { 2 } \mathrm { Cl } _ { 2 }$
(C) aq. $\mathrm { NaOH } + \mathrm { CHCl } _ { 3 }$
(D) aq. $\mathrm { NaOH } + \mathrm { CCl } _ { 4 }$

Answer

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

40. The electrophile in this reaction is
(A) $: \mathrm { CHCl }$
(B) ${ } ^ { + } \mathrm { CHCl } _ { 2 }$
(C) $: \mathrm { CCl } _ { 2 }$
(D) $\quad \mathrm { CCl } _ { 3 }$
Answer ◯
(A) ◯
(B)
[Figure]
(C)
◯
(D)

41. The structure of the intermediate $\mathbf { I }$ is
(A) [Figure]
(B) [Figure]
(C) [Figure]
(D) [Figure] ◯
(A)
(B)
(C) ◯
(D)
Answer

42. Match the reactions in Column I with nature of the reactions/type of the products in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.

Column I

(A) $\mathrm { O } _ { 2 } ^ { - } \rightarrow \mathrm { O } _ { 2 } + \mathrm { O } _ { 2 } ^ { 2 - }$
(B) $\mathrm { CrO } _ { 4 } ^ { 2 - } + \mathrm { H } ^ { + } \rightarrow$
(C) $\mathrm { MnO } _ { 4 } ^ { - } + \mathrm { NO } _ { 2 } ^ { - } + \mathrm { H } ^ { + } \rightarrow$
(D) $\mathrm { NO } _ { 3 } ^ { - } + \mathrm { H } _ { 2 } \mathrm { SO } _ { 4 } + \mathrm { Fe } ^ { 2 + } \rightarrow$

Column II

(p) redox reaction
(q) one of the products has trigonal planar structure
(r) dimeric bridged tetrahedral metal ion
(s) disproportionation

Answer

[Figure]

43. Match the compounds/ions in Column I with their properties/reactions in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.

Column I

(A) $\mathrm { C } _ { 6 } \mathrm { H } _ { 5 } \mathrm { CHO }$
(B) $\mathrm { CH } _ { 3 } \mathrm { C } \equiv \mathrm { CH }$
(C) $\mathrm { CN } ^ { - }$
(D) $\mathrm { I } ^ { - }$

Column II

(p) gives precipitate with 2,4-dinitrophenylhydrazine
(q) gives precipitate with $\mathrm { AgNO } _ { 3 }$
(r) is a nucleophile
(s) is involved in cyanohydrin formation
Answer [Figure]

44. Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.

Column I

(A) simple cubic and face-centred cubic
(B) cubic and rhombohedral
(C) cubic and tetragonal
(D) hexagonal and monoclinic

Column II

(p) have these cell parameters $a = b = c$ and $\alpha = \beta = \gamma$
(q) are two crystal systems
(r) have only two crystallographic angles of $90 ^ { \circ }$
(s) belong to same crystal system
Answer [Figure]