Custom Practice Test

Physics-Section-A

1.

Two holes are cut into a metal sheet. The diameters of the two holes are $d_1$ and $d_2$ $(d_1>d_2).$ If the temperature of the metal sheet is increased, then which of the following distance increases?

1.	$d_1$	2.	$d_2$
3.	$AB$	4.	All of the above

2. The pressure versus temperature graph of an ideal gas is as shown in the figure. The density of the gas at point $A$ is ${\mathit{\rho}}_{0}$. Density at point $B$ will be:

1.	$\dfrac{3}{4}{\mathit{\rho}}_{0}$	2.	$\dfrac{3}{2}{\mathit{\rho}}_{0}$
3.	$\dfrac{4}{3}{\mathit{\rho}}_{0}$	4.	$2{\mathit{\rho}}_{0}$

3. The pressure $(p)$ of a mono-atomic gas can be related to the internal energy per unit volume $(u)$ by the equation:

1.	$p={\Large\frac23}u$	2.	$u={\Large\frac23}p$
3.	$p={\Large\frac13}u$	4.	$u={\Large\frac13}p$

4. When a gun is fired, it recoils a bit as the bullet leaves with a speed of $300$ m/s. If a gunman fires a bullet from the gun, which is $100$ times as massive as the bullet what is the recoil speed of the gun?
1. $0.3$ m/s
2. $3$ m/s
3. $30$ m/s
4. $300$ m/s

5. Two springs are joined end-to-end and connected to a block of mass $m.$ The angular frequency $(\omega)$ of oscillation is:

1.	$\sqrt{\dfrac{2k}{3m}}$	2.	$\sqrt{\dfrac{3k}{2m}}$
3.	$\sqrt{\dfrac{3k}{m}}$	4.	$\sqrt{\dfrac{k}{3m}}$

6. The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

1.	Random errors
2.	Instrumental errors
3.	Personal errors
4.	Least count errors

7. A combination of two wires of identical length ($L,$ each) and cross-section ($A,$ each) joined end-to-end behaves elastically as a single wire of Young's modulus $Y\text:~~~~Y_1,Y_2$ being the module of the individual wires. Then:

1. $Y=Y_1+Y_2$
2. $Y={\Large\frac{Y_1+Y_2}{2}}$
3. ${\Large\frac{1}{Y}=\frac{1}{Y_1}+\frac{1}{Y_2}}$
4. ${\Large\frac{2}{Y}=\frac{1}{Y_1}+\frac{1}{Y_2}}$

8. The following diagram represents three vectors of equal magnitudes in a plane.

What arrow best represents the direction of the sum of three vectors?
1. $\rightarrow$
2. $\leftarrow$
3. $\uparrow$
4. $\downarrow$

9. A submarine having a fixed volume is floating submerged underwater. Air, at high pressure, is pumped into the submarine using pipes. Due to this, the submarine will:

1.	rise.
2.	sink.
3.	float in the same position.
4.	either rise or sink depending on the air pressure.

10.

The $x$ and $y$ coordinates of the particle at any time are $x=5 t-2 t^2$ and ${y}=10{t}$ respectively, where $x$ and $y$ are in meters and $\mathrm{t}$ in seconds. The acceleration of the particle at $\mathrm{t}=2$ s is:

1.	$5\hat{i}~\text{m/s}^2$	2.	$-4\hat{i}~\text{m/s}^2$
3.	$-8\hat{j}~\text{m/s}^2$	4.	$0$

11.

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time $t_1.$ On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time $t_2.$ The time taken by her to walk upon the moving escalator will be:

1.	$\dfrac{t_1t_2}{t_2-t_1}$	2.	$\dfrac{t_1t_2}{t_2+t_1}$
3.	$t_1-t_2$	4.	$\dfrac{t_1+t_2}{2}$

12. Two identical $5$ kg blocks are moving with the same speed of $2$ m/s towards each other along a frictionless horizontal surface. Two blocks collide, stick together, and come to rest. Consider the two blocks as a system. The work done by external and internal forces is respectively:
1. $0,0$
2. $0,20$ J
3. $0,-20$ J
4. $20$ J, $-20$ J

13. When someone standing still on a skateboard, starts to walk forward, what happens to the skateboard?

1.	It remains stationary.
2.	It moves forward with the person.
3.	It moves in the direction opposite to the person's motion.
4.	It first moves forward and then backward.

14.

The variation of acceleration due to gravity $g$ with distance $d$ from centre of the earth is best represented by:
($R$ = Earth's radius)

1.		2.
3.		4.

Physics-Section-B

15. A mass is thrown vertically upwards from the ground with a certain initial velocity $\mathrm{u}.$ Which one of the following velocity-time $\mathrm{(v\text-t)}$ graphs represents the motion of the mass?

1.		2.
3.		4.

16. Find the dimension of the quantity $\varepsilon_0hc:$
(where $\varepsilon_0=$ permittivity of free space, $h=$ Planck's constant, and $c=$ speed of light in vacuum)
1. $\text{(charge)}\times\text{(energy)}$
2. $\text{(energy)}^2$
3. $\text{(charge)}^2$
4. $\dfrac{\text{charge}}{\text{energy}}$

17. A high velocity projectile just pierces $4$ steel plates of identical thickness, setup back-to-back; the projectile being incident normally onto the plates. If the projectile is incident at an angle of $60^\circ$ with its original direction, the number of plates required to just stop it will be:

1.	$1$	2.	$2$
3.	$6$	4.	$8$

18. If $\vec F=2\hat i+\hat j-\hat k$ and $\vec r=3\hat i+2\hat j-2\hat k,$ then the scalar and vector products of $\vec F$ and $\vec r$ have the magnitudes, respectively, as:
1. $5, ~\sqrt3$
2. $4,~ \sqrt5$
3. $10, ~\sqrt2$
4. $10,~2$

19. A man, swimming with a speed $u_1,$ can cross a river fastest in a time, $T$. His friend, who swims with a speed $u_2,$ reaches the opposite bank in the same time when he swims at an angle of $30^{\circ}$ with the bank. Then:

1.	$u_1=\dfrac{\sqrt3}{2}u_2$	2.	$u_1=\dfrac{1}{2}u_2$
3.	$u_1=\dfrac{1}{\sqrt2}u_2$	4.	$u_1=\dfrac{1}{\sqrt3}u_2$

20. The force of kinetic friction $(F_k)$ and that of static friction $(F_s)$ are related by: ($\mu_s:$ coefficient of static friction)

1.	$F_k=\mu_sF_s$	2.	$F_k\leq F_s$
3.	$F_k\geq F_s$	4.	$F_k=F_s$

Chemistry-Section-A

21.

Complex A has a composition of H₁₂O₆Cl₃Cr . If the complex on treatment with concentrated H₂SO₄ loses 13.5% of its original mass, the correct molecular formula of A is :
[ Given: atomic mass of Cr = 52 amu and Cl =35 amu]
1. [Cr(H₂O)₅Cl]Cl₂ $\cdot$ H₂O
2. [Cr(H₂O)₆]Cl₃
3. [Cr(H₂O)₃Cl₃] $\cdot$ 3H₂O
4. [Cr(H₂O)₄Cl₂]Cl $\cdot$ 2H₂O

22.

By the ideal gas law the pressure of 0.60 mol ${NH}_{3}$ gas in a 3.00 litre vessel at $25 ° C$ is
(1) 48.9 atm
(2) 4.89 atm
(3) 0.489
(4) 489 atm

23.

The most probable radius (in pm) for finding the electron in He⁺ is :
1. 26.5
2. 105.8
3. 0.0
4. 52.9

24.

Which will not cause any atmospheric pollution
1. Hydrogen
2. Sulphur dioxide
3. Carbon dioxide
4. Carbon monoxide

25. Match column I (molecules) with column II (hybridization) and mark the appropriate choice:

	Column I (Molecules)		Column II (Hybridisation)
(A)	$C_2H_2$	(i)	$sp^3d^2$
(B)	$SF_6$	(ii)	$sp^3d^3$
(C)	$SO_2$	(iii)	sp
(D)	$IF_7$	(iv)	$sp^2$

1. (A) →(i), (B)→(iii), (C) →(ii), (D)→ (iv)
2. (A) →(iii), (B)→(i), (C) →(iv), (D)→ (ii)
3. (A) →(ii), (B)→(iii), (C) →(i), (D)→ (iv)
4. (A) →(iv), (B)→(i), (C) →(iii), (D)→ (ii)

26.

Given:
$E_{Cl_{2}/Cl^{-}}^{o} = 1.36 V$
$E_{Cr^{3+}/Cr}^{o} = -0.74 V$
$E_{Cr_20_7^{2-}/Cr^{3+}}^{o} = 1.33 V$
$E_{MnO_4^{-}/Mn^{2+}}^{o} = 1.51 V$
The strongest reducing agent among the following is:

1.	Cr³⁺	2.	Cl^–
3.	Cr	4.	Mn²⁺

27. Extensive properties, among the following, are:

1.	Boiling point	2.	Molar entropy
3.	pH	4.	Internal energy

28.

Hard water can be produced by -
(1) Saturation of water with CaSO₄
(2) Addition of $N a_{2} S O_{4}$ to water
(3) Saturation of water with CaCO₃
(4) Saturation of water with MgCO₃

29. The incorrect statement among the following is:
1. All alkali metals are silvery white.
2. The density of potassium is less than that of sodium.
3. Compounds of group-1 elements are diamagnetic.
4. The melting point of group-1 elements increases down the group.

30.

The reaction, among the following, that cannot produce ethane is:
1. $C H_{3} - C l \to_{d r y e t h e r}^{N a}$
2. $C H_{3} - C O O H \to_{l i m e}^{S o d a}$
3. $C H_{3} - C O O K \to_{}^{e l e c t r o l y s i s}$
4. $C H_{3} - C H_{2} - O - C H_{2} - C H_{3} \to_{H I}^{R e d P}$

31. Which of the following pair is correctly matched?
1. Basic oxides - $\mathrm{In_2O_3 , K_2O , SnO_2}$
2. Neutral oxides - $\mathrm{CO, NO_2, N_2O}$
3. Acidic oxides - $\mathrm{Mn_2O_7, SO_2, TeO_3}$
4. Amphoteric oxides -$\mathrm{BeO , Ga_2O_3 , GeO }$

32.

Aluminium chloride in acidified aqueous solution forms a complex 'A'.
The formula of A and hybridisation state of Al in 'A' is respectively:
1. [Al(H₂O)₆]³⁺, sp³d²
2. [Al(H₂O)₄]³⁺, sp³
3. [Al(H₂O)_4^]³⁺, dsp²
4. [Al(H₂O)]³⁺, d²sp³

33.

What is the molar solubility of aluminum hydroxide (Al(OH)₃) in a 0.2 M sodium hydroxide (NaOH) solution? (Given: solubility product of Al(OH)₃ is 2.4 × 10^–24)
1. 3 × 10^–22
2. 3 × 10^–19
3. 12 × 10^–21
4. 12 × 10^–22

34.

Which of the following is the optically active alkane with the lowest molecular weight?

1.
2.
3.
4.

Chemistry-Section-B

35.

At standard temperature and pressure (STP), the volume of oxygen required to completely combust 30 ml of acetylene under similar conditions is:
1. 100 ml
2. 75 ml
3. 50 ml
4. 25 ml

36. Given below are two reactions:
$\begin{aligned} & \mathrm{S}+\frac{3}{2} \mathrm{O}_2 \rightarrow \mathrm{SO}_3+2 \mathrm{x} \text { kcal } \\ & \mathrm{SO}_2+\frac{1}{2} \mathrm{O}_2 \rightarrow \mathrm{SO}_3+\mathrm{y \ kcal} ; \end{aligned}$
The heat of formation for SO₂ will be:
1. (y-2x)
2. (2x +y)
3. (x+y)
4. 2x/y

37.

Electromagnetic radiation of wavelength 663 nm is just sufficient to ionize the atom of metal A. The ionization energy of metal A in kJ mol^–1 is: (Rounded-off to the nearest integer)
[h = 6.63 × 10^–34 Js, c = 3.00 × 10⁸ ms^–1 , N_A = 6.02 × 10²³ mol^–1]

1.	189	2.	175
3.	181	4.	185

38. Choose the option containing all isoelectronic species:
1. $N^{3-}, O^{2-}, F, Na $
2. $\mathrm{S}^{-2}, \mathrm{Cl}^{-}, \mathrm{K}^{+}, \mathrm{Ca}^{2+} $
3. $\mathrm{NH}_3, \mathrm{CH}_4, \mathrm{PF}_5, \mathrm{Na}^{+} $
4. $\mathrm{Ne}, \mathrm{Na}^{+}, \mathrm{F}, \mathrm{N}^{3-} $

39. T-shaped molecule among the following is:
1. SF₄
2. NH₃
3. BrCl₃
4. FO₃⁻

40.

The temperature at which the r.m.s velocity of carbon dioxide becomes the same as that of nitrogen at 21⁰C is-
1. 462 ^oC
2. 273 K
3. 189 ^oC
4. 546 K

Biology-I-Section-A

41.

While explaining interspecific interaction of population, (+) sign is assigned for beneficial interaction, (–) sign is assigned for detrimental interaction and (0) for neutral interaction. Which of the following interactions can be assigned (+) for one species and (–) for another species involved in the interaction?
1. Competition
2. Predation
3. Amensalism
4. Commensalism

42. A herbivore:

I:	consumes plants.
II:	is also called as secondary consumer.

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

43.

The first stable product of CO₂ fixation in sorghum is:
1. Succinic acid
2. Phosphoglyceric acid
3. Pyruvic acid
4. Oxaloacetic acid

44. Regeneration of which of the following is an important role of fermentation in cellular respiration:
1. NADH
2. NADP⁺
3. NAD⁺
4. NADPH

45. What would be the chromosome number in an endosperm cell of garden pea [Pisum sativum]?

1.	7	2.	14
3.	21	4.	28

46.

In the following diagram of the lac operon, an operon for inducible enzymes, identify components and enzymes:

	X	Y	E₁	E₂	E₃
(1)	Repressor protein	Inducer (lactose)	â-Galactosidase	Permease	Transacetylase
(2)	Inducer (lactose)	Repressor protein	â-Galactosidase	Permease	Transacetylase
(3)	Repressor protein	Inducer (lactose)	â-Galactosidase	Transacetylase	Permease
(4)	Repressor protein	Inducer (lactose)	Permease	Transacetylase	â-Galactosidase

47.

Exploration of molecular, genetic, and species level diversity for novel products of economic importance is known as:

1.	Biopiracy	2.	Bioenergetics
3.	Bioremediation	4.	Bioprospecting

48. Identify the plant, anecdotally known as the "terror of Bengal" due to its invasive growth tendencies, that was introduced into India as an ornamental plant:
1. Parthenium hysterophorus
2. Lantana camara
3. Eicchornia crassipes
4. Acacia dealbata

49. Seeds retain a part of endosperm as it is not completely used up during embryo development in:
I: wheat
II: maize
III: barley
IV: castor
1. Only I, II and III
2. Only I, II and IV
3. Only II, III and IV
4. I, II, III and IV

50. The biological processes performed by cyanobacteria in paddy fields include:

I:	biological fixation of CO₂.
II:	biological fixation of atmospheric dinitrogen.

1. Only I
2. Only II
3. Both I and II
4. Neither I nor II

51. Consider the given two statements:

Assertion (A):	Inbreeding increases the chances of offspring being affected by recessive traits.
Reason (R):	Inbreeding increases the proportion of homozygous individuals in a population.

1.	Both (A) and (R) are True and (R) correctly explains the (A).
2.	Both (A) and (R) are True but (R) does not correctly explain the (A).
3.	(A) is True but (R) is False.
4.	Both (A) and (R) are False.

52.

The essential element which maintains the ribosome structure is
1. Responsible for carbohydrate translocation.
2. Needed during mitotic spindle formation.
3. Constituent of ring structure of chlorophyll.
4. Needed in the synthesis of auxin.

53.

Which PGR stimulates the closure of stomata and increases the tolerance of plants to various kinds of stresses?

1.	Abscisic acid	2.	Ethylene
3.	Auxins	4.	Cytokinins

54. If two persons with' AB' blood group marry and have the sufficiently large number of children, these children could be classified as 'A' blood group: 'AB' blood group: 'B' blood group in 1: 2: 1 ratio. The modern technique of protein electrophoresis reveals the presence of both' A' and 'B' type proteins in 'AB' blood group individuals. This is an example of:
1. Incomplete dominance
2. Partial dominance
3. Complete dominance
4. Codominance

Biology-I-Section-B

55.

Mango and wheat belong to the same:

I. Division

II. Class

III. Order

1.	Only I	2.	Both I and II
3.	Only III	4.	I, II, and III

56. In the structure of plasma membrane, it is see that hydrophobic tails are arranged towards the inner side. This ensures that

1.	Polar heads can be protected from aqueous environment
2.	Polar molecules can be transported through lipid bilayer.
3.	Non polar tail of saturated hydrocarbons in protected from the aqueous environment.
4.	Lipid soluble molecules can pass through tunnel proteins.

57. Biflagellate zoospores that are pear-shaped and have two unequal laterally attached flagella are involved in:

1.	Asexual reproduction in brown algae
2.	Asexual reproduction in red algae
3.	Sexual reproduction in brown algae
4.	Sexual reproduction in red algae

58.

How many plants in the list given below have composite fruits that develop from an inflorescence walnut, poppy, radish, fig, pineapple, apple, tomato, mulberry
1. Four
2. Five
3. Two
4. Three

59. Which of the following will not be true for gymnosperms?

1.	Gymnosperms lack vessels in their xylem.
2.	Gymnosperms have albuminous cells and sieve cells.
3.	Gymnosperms lack sieve tubes and companion cells.
4.	Gymnosperms lack secondary growth.

60. Consider the given two statements:

Assertion(A):	Mycoplasma are members of Kingdom Monera.
Reason (R):	They lack cell wall and can live without oxygen.

1.	Both (A) and (R) are True and (R) correctly explains (A).
2.	Both (A) and (R) are True but (R) does not correctly explain (A).
3.	(A) is True; (R) is False
4.	Both (A) and (R) are False

Biology-II-Section-A

61. Match each item in Column I with the one in Column II and select the correct match from the codes given:

	Column I		Column II
A	Pivot joint	P	Between carpal and metacarpal of thumb
B.	Saddle joint	Q	Between atlas and axis vertebrae
C	Gliding joint	R	Between carpal bones
D	Hinge joint	S	Humero-ulnar joint

Codes:

	A	B	C	D
1.	P	Q	R	S
2.	Q	P	S	R
3.	Q	P	R	S
4.	P	Q	S	R

62.

In the ‘test–tube baby’ procedure:

1.	Fertilization is in-vitro but embryo development is in-vivo
2.	Fertilization is in-vivo but embryo development is in-vitro
3.	Both fertilization and embryo development are in-vitro
4.	Both fertilization and embryo development are in-vivo

63. Unmyelinated neurons:

1.	are not found in human neural system
2.	are surrounded by Schwann cells in peripheral neural system
3.	are bipolar neurons
4.	conduct impulse at a faster rate than myelinated neurons

64. In the given figure which two terms can be used to describe the phases A and B?

	A	B
1.	Follicular / Proliferative	Luteal / Secretory
2.	Follicular / Secretory	Luteal / Proliferative
3.	Luteal / Proliferative	Proliferative / Secretory
4.	Luteal / Secretory	Proliferative / Follicular

65. Select the correct statements.

(a)	Angiotensin II activates the cortex of adrenal gland to release aldosterone.
(b)	Aldosterone leads to increase in blood pressure.
(c)	ANF acts as a check on renin-angiotensin mechanism.
(d)	ADH causes vasodilation.
(e)	Vasopressin is released from adenohypophysis.

Choose the most appropriate answer from the options given below :
1. (a), (b) and (e) only
2. (c), (d) and (e) only
3. (b), (c) and (d) only
4. (a), (b) and (c) only

66.

A and B in the pBR 322, shown in the diagram given below, respectively represent recognition sequences of:

1. BamH I and Sma I
2. Hind II and Sma I
3. BamH I and SaI I
4. SaI I and Hind II

67. Which peptide, present in the pro-insulin, is absent from the final structure of insulin?
1. The A peptide
2. The B peptide
3. The C peptide
4. The A and C peptides

68. Vital capacity can be defined as:

I:	The maximum volume of air a person can breathe in after a normal expiration.
II:	The maximum volume of air a person can breathe out after a normal inspiration.

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

69. Identify the incorrect statement:

1.	Each protein is a polymer of amino acids.
2.	A protein is a heteropolymer and not a homopolymer.
3.	Essential amino acids can be synthesized in our body.
4.	Collagen is the most abundant protein in animal world.

70. Goblet cells, present in alimentary canal, are used in:
1. Absorption
2. Protection
3. Secretion of mucus
4. Contraction

71. How many of the following will be the functions of adrenaline and noradrenaline?

I:	increase in heart rate
II:	decrease in the strength of heart contraction
III:	increase in the rate of respiration
IV:	glycogenolysis
V:	breakdown of lipids and proteins

1.	2	2.	3
3.	4	4.	5

72. Given below are two statements:

Statement I:	Immature Iymphocytes differentiate into antigen sensitive lymphocytes in primary lymphoid organs and then migrate to secondary lymphoid organs
Statement II:	In Peyer's patches of the small intestine, lymphocytes interact with antigens and proliferate to become effector cells

In light of the above statements, choose the most appropriate answer from the options given below:
1. Both Statement I and Statement II are correct
2. Both Statement I and Statement II are incorrect
3. Statement I is correct but Statement II is incorrect
4. Statement I is incorrect but Statement II is correct

73. During each cardiac cycle, two prominent sounds are produced which can be easily heard through a stethoscope where:

I:	The first heart sound (lub) is associated with the closure of the tricuspid and bicuspid valves
II:	The second heart sound (dub) is associated with the opening of the semilunar valves.

1. Only I is correct
2. Only II is correct
3. Both I and II are correct
4. Both I and II are incorrect

74.

Jurassic period of the Mesozoic era is characterized by:
1. gymnosperms are dominant plants and first birds appear
2. radiation of reptiles and origin of mammal-like reptiles
3. dinosaurs become extinct and angiosperms appear
4. flowering plants and first dinosaurs appear

Biology-II-Section-B

75. The diffusion [respiratory] membrane in humans is composed of all the following layers except:
1. Squamous epithelium of alveoli
2. Endothelium of alveolar capillaries
3. Podocytes of the inner alveolar surface
4. Basement substance

76. The nervous system of a frog is organised into:

I:	central nervous system	brain and spinal cord
II:	peripheral nervous system	cranial and spinal nerves
III:	autonomic nervous system	sympathetic and parasympathetic

1.	Only I and II	2.	Only I and III
3.	Only II and III	4.	I, II and III

77.

Statement I:	In Cnidarians, polyp is a sessile and in cylindrical form and medusa is umbrella-shaped and free-swimming.
Statement II:	In Cnidarians, polyps produce medusae asexually and medusae form the polyps sexually.

1.	Statement I is correct; Statement II is correct
2.	Statement I is correct; Statement II is incorrect
3.	Statement I is incorrect; Statement II is correct
4.	Statement I is incorrect; Statement II is incorrect

78. First heart sound is due to
1. Opening of tri and bi-cuspid valves
2. Closure of tri and bi-cuspid valves
3. Opening of semilunar valves
4. Closure of semilunar valves

79. When an enzyme denatures:

1.	the activation energy of the reaction is doubled.
2.	the activation energy of the reaction is lowered.
3.	its optimal conditions for the temperature of the enzyme are doubled.
4.	the shape of the enzyme molecule changes

80. Consider the two statements:

Statement I:	When swallowing, the soft palate would have to move downward in order to prevent food from entering the lungs.
Statement II:	When swallowing the epiglottis allows the food to enter the larynx.

1. Statement I is correct: Statement II is incorrect
2. Statement I is incorrect: Statement II is correct
3. Statement I is correct: Statement II is correct
4. Statement I is incorrect: Statement II is incorrect

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1.	\(\dfrac{3}{4}{\mathit{\rho}}_{0}\)	2.	\(\dfrac{3}{2}{\mathit{\rho}}_{0}\)
3.	\(\dfrac{4}{3}{\mathit{\rho}}_{0}\)	4.	\(2{\mathit{\rho}}_{0}\)

1.	\(p={\Large\frac23}u\)	2.	\(u={\Large\frac23}p\)
3.	\(p={\Large\frac13}u\)	4.	\(u={\Large\frac13}p\)

1.	\(\sqrt{\dfrac{2k}{3m}}\)	2.	\(\sqrt{\dfrac{3k}{2m}}\)
3.	\(\sqrt{\dfrac{3k}{m}}\)	4.	\(\sqrt{\dfrac{k}{3m}}\)

1.	\(5\hat{i}~\text{m/s}^2\)	2.	\(-4\hat{i}~\text{m/s}^2\)
3.	\(-8\hat{j}~\text{m/s}^2\)	4.	\(0\)

1.	\(\dfrac{t_1t_2}{t_2-t_1}\)	2.	\(\dfrac{t_1t_2}{t_2+t_1}\)
3.	\(t_1-t_2\)	4.	\(\dfrac{t_1+t_2}{2}\)

1.	\(u_1=\dfrac{\sqrt3}{2}u_2\)	2.	\(u_1=\dfrac{1}{2}u_2\)
3.	\(u_1=\dfrac{1}{\sqrt2}u_2\)	4.	\(u_1=\dfrac{1}{\sqrt3}u_2\)

1.	\(F_k=\mu_sF_s\)	2.	\(F_k\leq F_s\)
3.	\(F_k\geq F_s\)	4.	\(F_k=F_s\)

	Column I (Molecules)		Column II (Hybridisation)
(A)	\(C_2H_2\)	(i)	\(sp^3d^2\)
(B)	\(SF_6\)	(ii)	\(sp^3d^3\)
(C)	\(SO_2\)	(iii)	sp
(D)	\(IF_7\)	(iv)	\(sp^2\)

1.	\(d_1\)	2.	\(d_2\)
3.	\(AB\)	4.	All of the above

1.	\(1\)	2.	\(2\)
3.	\(6\)	4.	\(8\)

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