E2 II GRAND TEST 6 for 2023

1.For which of the following does the centre of mass lie outside the body ?

2.Which of the following points is the likely position of the centre of mass of the system shown in Fig. 7.1?

3.A particle of mass m is moving in yz-plane with a uniform velocity v with its trajectory running parallel to +ve y-axis and intersecting z-axis at z = a (Fig. 7.2). The change in its angular momentum about the origin as it bounces elastically from a wall at y = constant is:

which of the folowing answer is correct?

4.When a disc rotates with uniform angular velocity, which of the following is not true?

5.A uniform square plate has a small piece Q of an irregular shape removed and glued to the centre of the plate leaving a hole behind (Fig. 7.3). The moment of inertia about the z-axis is then

6.The density of a non-uniform rod of length 1 m is given by ρ (x) = a(1+bx²) where a and b are constants and o ≤ x ≤1. The centre of mass of the rod will be at

7.A Merry-go-round, made of a ring-like platform of radius R and mass M, is revolving with angular speed ω . A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is

8.The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity

9.As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would

10.Different points in earth are at slightly different distances from the sun and hence experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the c.m. (centre of mass) causing translation and a net torque at the c.m. causing rotation around an axis through the c.m. For the earth-sun system (approximating the earth as a uniform density sphere)

11.Satellites orbiting the earth have finite life and sometimes debris of satellites fall to the earth. This is because,

12.. Both earth and moon are subject to the gravitational force of the sun. As observed from the sun, the orbit of the moon

13.In our solar system, the inter-planetary region has chunks of matter (much smaller in size compared to planets) called asteroids. They

14.Choose the wrong option.

Particles of masses 2M, m and M are respectively at points A, B and C with AB = (½) (BC). m is much-much smaller than M and at time t = 0, they are all at rest (Fig. 8.1).
At subsequent times before any collision takes place:

16.The area of cross-section of a wire of length 1.1 metre is 1mm2.It is loaded with 1 kg. If Young’s modulus of copper is 1.1×10^11N/m2, then the increase in length will be (If g=10m/s^2)

17. A steel wire is fixed at its one end on the roof. At other ends of the wire, 1 kg mass is hanged so that the energy stored in the wire is E. The energy stored in the same wire if we hang 2 kg mass instead of 1 kg is:

18.The bulk modulus of a rubber ball is 9×10^8 N/m2. To what depth below the surface of the sea, should the ball be taken so as to decrease its volume by 0.1%?

19.What is the value of Poisson’s ratio for an incompressible material?

20. A uniform wire of cross-sectional area A is stretched by a certain force so that its length is elongated by x. What should be the cross-sectional area of the wire, so that elongation becomes x/2 on applying the same force?

21.A wire suspended vertically from one of its ends is stretched by attaching a weight of 100 N. If the elastic energy stored in the wire is 0.1 J. The elongation in the wire is:

22.. Two wires of the same material have lengths in the ratio of 1: 2. If they are stretched by applying equal forces, the increase in lengths is the same. The ratio of their respective radii is:

23.A force applied on a brass wire of uniform cross-section area creates change in its length and cross-sectional area. If lateral strain produced in the wire is 3 x 10^−2, then the energy stored per unit volume of wire will be: [Ybrass = 9 x 10^10 N/m2, σbrass = 0.3]

24.The longitudinal strain of a string is equal to twice the magnitude of lateral strain. Poisson’s ratio of the material of string is:

25. The breaking strength of the iron wire of radius r and length l is 2 x 10^6 N/m2. Breaking strength of another iron wire of radius r, and length l at the same temperature will be:

26.The stress-strain curve for two materials A and B are shown in the figure. Select correct statement-

27.A uniform rod suspended from the ceiling gets elongated by its own weight. Which one of the following graphs represents the variation of elongation with L length?

28.Two wires X and Y of the same length are made of the same material. The figure represents the load F versus extension Δx∆x graph for the two wires. Hence:

29.The ratio of Young’s modulus of wire A to wire B:

30.In the following questions, a statement of assertion (A) is followed by a statement of the reason (R)

(1) If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

(2) If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

(3) If Assertion is a true statement but Reason is false, then mark (3).

(4) If both Assertion and Reason are false statements, then mark (4).

A: Hooke’s law is applicable up to the elastic limit.

R: Up to the elastic limit stress is directly proportional to strain.

31. The radius of a soap bubble is increased from R to 2 R. Work done in this process (T = surface tension) is

32.The flow rate from a tap of diameter 1.25 cm is 3 lit/min. The coefficient of viscosity of water is 10−3 Pas. The nature of flow is :

33.A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by :

34.Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by

35.The area of cross-section of the wider tube shown in the figure is 800 cm^2. If a mass of 12 kg is placed on the massless piston, the difference in heights h in the level of water in the two tubes is :

36.The weight of an aeroplane flying in the air is balanced by 

37.If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect?

38.The wettability of a surface by a liquid depends primarily on

39.An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm³ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm³) 

40.A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be

41.A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg/m^3) 

42.

An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is

43.In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

44.A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.01 poise, distance between the plates in m is

45.A small sphere of mass m is dropped from a great height. After it has fallen 100 m, it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first 100 m of fall is

46.Positive deviation from ideal behavior takes place because of,

47.The root mean square velocity of an ideal gas at constant pressure varies with density (d) as,

48.According to kinetic theory of gases, for a diatomic molecule,

49.A gas will approach ideal behavior at,

50. The rate of diffusion of methane at a given temperature is twice that of a gas X. The molecular weight of X is,

51.  0.5 moles of an ideal gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m³ at 1000 K. Given R is the gas constant in JK^-1mol^-1, x is,

52.The term that corrects for the attractive forces present in a real gas in the van der Waals’ equation is,

53.Statement-I: The pressure of a fixed amount of an ideal gas is proportional to its temperature.

Statement-II: Frequency of collisions and their impact both increase in proportion to the square root of temperature.   

In the light of the above statements, choose the correct answer from the options given below.

54.At constant volume, for a fixed number of moles of a gas the pressure of the gas increases with rise of temperature due to,

55.The density of neon will be highest at,

56.During compression of a spring the work done is 10 kJ and 2 kJ escaped to the surroundings as heat. The change in internal energy, ∆U (in kJ) is,

57.Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non-expansion work is zero)

58.The process with negative entropy change is,

59.The combustion of benzene (l) gives CO₂ (g) and H₂O (l). Given that heat of combustion of benzene at constant volume is -3263.9 kJ mol^-1 at 25^oC; heat of combustion (in kJ mol^-1) of benzene at constant pressure will be (R = 8.314 J K^-1 mol^-1)

60.One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process, the change in entropy of surroundings (∆S_surr) in JK^-1 is (1 L atm = 101.3 J)

61. A piston filled with 0.04 mole of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37oC. As it does so, it absorbs 208 J of heat. The values of q and W for the process will be, (R = 8.314 and ln 7.5 = 2.01)

62.. A monoatomic ideal gas undergoes a process in which the ratio of p to V at any instant is constant and equals to 1. What is the molar heat capacity of the gas?

63.Spontaneous adsorption of a gas on solid surface is an exothermic process because,

64.Which of the following statements is false?

65.Statement-I: For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero

Statement-II: At constant temperature and pressure, chemical reactions are spontaneous in the direction of decreasing Gibbs free energy.   

In the light of the above statements, choose the correct answer from the options given below.

66. Enthalpy of sublimation of iodine is 24 cal g-1 at 200oC. If specific heat of I2 (s) and I2 (vap.) are 0.055 and 0.031 cal g-1 K-1 respectively, then enthalpy of sublimation of iodine at 250oC in cal g-1 is,

67.The heats of combustion of carbon and carbon monoxide are -393.5 and -283.5 kJ mol^-1, respectively. The heat of formation (in kJ) of carbon monoxide per mole is,

68.The standard enthalpies of formation of CO₂ (g), H₂O (l) and glucose (s) at 25^oC are -400 kJ/mol, -300 kJ/mol and -1300 kJ/mol, respectively. The standard enthalpy of combustion per gram of glucose at 25^oC is,

69. ∆Hvap = 30 kJ mol-1 and ∆Svap = 75 J mol-1 K-1. Find the temperature of vapour, at one atmosphere.

70.The thermal dissociation of equilibrium of CaCO₃ (s) is studied under different conditions, follows the equation CaCO₃ (s) ⇋ CaO (s) + CO₂ (g)

For this equilibrium, the incorrect statement is,

71.The incorrect match in the following is,

72.Two solids dissociate as follows:

A (s) ⇋ B (g) + C (g); Kp₁ = x atm²

D (s) ⇋ C (g) + E (g); Kp₂ = y atm²

The total pressure when both the solids dissociate simultaneously is,

73.1 g NH₄SH is introduced in 3.0 L evaluated flask at 327^oC. 30 % of the solid NH₄SH decomposed to NH₃ and H₂S as gases. The Kp of the reactionat 327^oC is, (R = 0.082)

74.An aqueous solution contains 0.1 M H₂S and 0.2 M HCl. If the equilibrium constants for the formation of HS^– from H₂S is 1.0 × 10^-7 and that of S^2- from HS^– ions is 1.2 × 10^-13 then the concentration of S^2- ions in aqueous solution is:

75. The equilibrium constant at 298 K for a reaction, A + B ⇋ C + D is 100. If the initial concentration of all the four species were 1 M each, then equilibrium concentration of D (mol L-1) will be,

76.The species present in solution when CO₂ is dissolved in water are,

77.Consider the following equilibrium in a closed container,

N₂O₄ (g) ⇋ 2NO₂ (g)

At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements hold true regarding the equilibrium constant (Kp) and degree of dissociation (α),

78.When two reactants, A and B are mixed to give products, C and D, the reaction quotient (Q) at the initial stages of the reaction

79.Pure ammonia is placed in a vessel at a temperature where its dissociation constant is appreciable. At equilibrium,

N₂ + 3H₂ ⇋ 2NH₃

80.For a chemical reaction; 3X (g) + Y (g) ⇋ X₃Y (g), the amount of X₃Y at equilibrium is affected by,

81.What is the molar solubility of Al(OH)₃ in 0.2 M NaOH solution? Given, K_sp of Al(OH)₃ is 2.4 × 10^-24

82.The pH of a 0.02 M NH₄Cl solution will be, [Given K_b (NH₄OH) = 10-5 and log2 = 0.3]

83.An aqueous solution contains an unknown concentration of Ba²⁺. When 50 mL of a 1 M solution of BaSO₄ just begins to participate. The final volume is 500 mL. The solubility product of BaSO₄ is 1 × 10^-10. What is the original concentration of Ba²⁺?

84.Which of the following salts is the most basic in aqueous solution?

85.CH₃NH₂ (0.1 mole, Ka = 5 × 10^-4) is added to 0.08 mole of HCl and the solution is diluted to one litre, resulting hydrogen ion concentration is,

86.The pH of 0.1 M solution of the following salts increases in the order,

87.Which of the following is the strongest acid?

88.The best indicator for detection of end point in titration of a weak acid and a strong base is,

89.An acidic buffer solution can be prepared by mixing the solution of,

90.The pKa of acetyl salicylic acid (aspirin) is 3.5. The pH of gastric juice in human stomach is about 2-3 and the pH in the small intestine is about 8. Aspirin will be,

91.The most abundant cells of the total WBC is

92.Which of the following WBC is associated with inflammatory reactions?

93.Megakaryocytes are produced by

94.Normal platelet count in blood is

95.Platelets can release

96.Rh factor is present in

97.Thrombin is associated with

98.Tissue fluid contain all except?

99. Lacteals are found in

100.The atrium and the ventricle of the same side are separated by

101.Right ventricles opened into

102.Identify the following parts in the given diagram

103.During a cardiac cycle, each ventricle pumps out approximately

104.Which of the following statement is correct?

105. Which of the following is true regarding the diagram

106.Which group of plants shows fibrous root system?

107.Root cap is found beneath the

108.Which root system is modified to store food?

109.The region of the stem where leaves are born are called

110.Which group of plant contain chlorophyll and carry out photosynthesis?

111.Which of the following is true about Pulvinus?

112.Identify the type of leaf presented in the diagram

113.Rachis are commonly found in

114.The climbing organ of peas is

115.Acropetal succession is common in

116.Identify the position of the thalamus in the following diagram

117.Which group of plants shows Epigynous flowers?

118.Identify the aestivation type in corolla

119.Which is not a part of dicotyledonous seed?

120.The following group of plants are belonging to which family?

Gram, Soyabean, Sesbania, Muliathi

121.The principles of photosynthesis was established by

122.All of the following are true except?

123.Identify the following process shown in the given diagram

124.Porins are present in all except?

125.Water channels are made up of

126.Transport rate reaches a maximum when

127.Which of the following statement is correct about facilitated transport?

128.The water potential of pure water at standard temperatures is

129.In water transport up a stem which is much needed?

130.Water potential gradient between the absorbent and the liquid imbibed is essential for

131.The Apoplast is the system of adjacent cell walls that is continuous throughout the plant, except at

132.A Mycorrhiza is a symbiotic association of a fungus with a root system, the fungus provides

133.What per cent of water reaching the leaves used in photosynthesis and plant growth

134.The transpiration driven ascent of xylem sap depends mainly on

135.Identify the following in the given diagram

136.Mitotic cell division shows

137.The following type of growth is shown in

138.Which of the following is the example of tissues, formed by differentiation?

139.Functions of Auxins include

140.Which one is the incorrect match?

141.Artificial application of auxins like IAA, IBA, NAA to unpollinated pistils can form

142.Dwarfness in plants are treated by

143.To bolt a rosette plant we need

144.Satement-1: Elongation of reduced stem is possible due to application of gibberellins

Statement-2: Gibberellin stimulates cell division and cell elongation

145.Seed dormancy is caused by

146.What would happen if you forget to add Cytokinin to your culture medium?

147. Applying low temperature to speed up the process of flowering is called?

148.The ‘bakanae’ (foolish seedling) disease affect

149.Which one of the following is not a synthetic auxin?

150.Phenolic acids, Para-ascorbic acid

151.Identify the following parts in the given diagram

152. All are lateral meristem except?

153. In monocots, roots are formed from

154.The growth of roots and stems with the apical meristem is called

155.Which of the following is not a feature of meristimatic cells/

156.Sclereids are found in

157. Which of the following is a vessel less angiosperm?

158.Find the correct ones

i.Phloem parenchyma is absent in most monocots

ii.Gymnosperms lacks tracheids and vessels

iii.Gymnosperms lack companion cells

159.Which of the following exemplifies emergences?

160.Select the incorrect pair

161.A common structural characteristic of vessel elements and sieve tube elements is

162.The tissue system constitutes the bulk of the plant body

163.In___________ vascular bundle, a strip of vascular cambium present in between the xylem and phloem

164.The collenchyma occurs in layers

165.Identify the following parts in the given diagram

166.Study the following characteristics and say the name of the elements

I.Long, tube-like structures

II.Arranged longitudinally

III.Associated with the companion cells

167.Phloem fibres are mainly made up of

168.The epidermis is the outermost layer of the primary plant body. This is usually of

169.Cuticle is present in the

170.Stomatal apparatus does not include

171.In the shoot system trichomes are usually found as

172.Identify the type of vascular bundles in the following diagram

173.Suberin is present in

174.Identify the following parts in the given diagram

175.In monocot stem which of the following is absent?

176.______ is the innermost layer of cortex

177.As secondary growth proceeds, in a dicot stem, the thickness of

178.Lenticles are involved in

179.Interfascicular cambium develops from the cells of

180.Assertion: cork or phellam is impervious to water

Reason: cork has Suberin deposition in the cell wall