XtraEdge Test Series # 8

 

 +

= R

t 1 v v v

0 at time t

(B) v = v₀e⁻^S^/^Rafter it has moved S meter (C) v = v0e^–SR after it has moved S meter (D) None of these

XtraEdge Test Series # 8

IIT-JEE 2010

Based on New Pattern

Time : 3 Hours

Syllabus :

Physics : Full Syllabus, Chemistry : Full Syllabus, Mathematics : Full syllabus Instructions :

Section - I

• Question 1 to 4 are multiple choice questions with only one correct answer. +3 marks will be awarded for correct answer and -1 mark for wrong answer.

• Question 5 to 9 are multiple choice questions with multiple correct answer. +4 marks and -1 mark for wrong answer.

Section - II

• Question 10 to 11 are Column Matching type questions. +8 marks will be awarded for the complete correctly matched answer and No Negative marks for wrong answer. However, +2 marks will be given for a correctly marked answer in any row.

Section - III

• Question 12 to 19 are numerical response type questions. +4 marks will be awarded for correct answer and -1 mark for wrong answer.

6. Three identical rods of same material are joined to form a triangular shape ABC as shown. Angles at edge A and C are respectively θ1 and θ2 as shown.

When this triangular shape is heated then - A

B C θ₁

θ₂

(A) θ1 decreases and θ2 increases (B) θ1 increases and θ2 decreases (C) θ1 increases

(D) θ2 increases

7. Direction of current in coil (2) is opposite to direction of current in coil (1) and coil (3). All three coils are coaxial and equidistant coil (1) and coil (3) are fixed while coil (2) is suspended thus able to move freely. Then -

3 (A) coil (2) is in equilibrium

(B) equilibrium state of coil (2) is stable equilibrium along axial direction

(D) if direction of current in coil (2) is same as that of coil (1) and coil (3) then state of equilibrium of coil (2) along axial direction is unstable 8. Which of the following statements are correct about

the circuits shown in the figure where 1 Ω and 0.5 Ω are internal resistances of the 6 V and 12 V batteries respectively –

4Ω

6V, 1Ω

0.5Ω S Q P

12V, 0.5Ω

(A) The potential at point P is 6 V (B) The potential at point Q is – 0.5 V

(D) If a voltmeter is connected across the 6 V battery, it will read 5 V

9. In passing through a boundary refraction will not take place if -

(A) light is incident normally on the boundary (B) the indices of refraction of the two media are same (C) the boundary is not visible

(D) angle of incidence is lesser than angle of refraction but greater then sin^–1 

 



 µ µ

D R

This section contains 2 questions (Questions 10 to 11).

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, T) 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, A-T, B-Q, B-R, C-P, C-Q and D-S, D-T then the correctly bubbled 4 × 5 matrix should be as follows :

A B C D

P P P P

Q Q Q Q

R R R R

S S S S

T T T T P Q R S T

10. Match column I with column II in the light of possibility of occurrence of phenomena listed in column I using the systems in column II -

Column-I Column-II

(A) Interference (P) Non-mechanical

waves

(B) Diffraction (Q) Electromagnetic

waves

(T) None

11. Column-I Column-II

(A) 5000 Å (P) De-Broglie wavelength of electron in x-ray tube (B) 1 Å (Q) Photoelectric threshold

wavelength (C) 0.1 Å (R) x-ray wavelength

(D) 10 Å (S) De-Broglie wavelength of

most energetic photoelectron emitted from metal surface

(T) None

This section contains 8 questions (Questions 12 to 19).

The answer to each of the questions is a SINGLE-DIGIT INTEGER, ranging from 0 to 9. The appropriate bubbles below the respective question numbers in the OMR have to be darkened. For example, if the correct answers to question numbers X, Y, Z and W (say) are 6, 0, 9 and 2, respectively, then the correct darkening of bubbles will look like the following :

0 1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8 9 X Y Z W

12. The minimum speed in m/s with which a projectile must be thrown from origin at ground so that it is able to pass through a point P (30 m, 40 m) is : (g = 10 m/s²) (Ans. in ... × 10)

13. In U²³⁸ ore containing Uranium the ratio of U²³⁴ to Pb²⁰⁶ nuclei is 3. Assuming that all the lead present in the ore is final stable product of U²³⁸. Half life of U²³⁸ to be 4.5 × 10⁹years and find the age of ore.

(in 10⁹ years)

14. Under standard conditions the gas density is 1.3 mg/cm³ and the velocity of sound propagation in it is 330 m/s, then the number of degrees of freedom of gas is.

15. A single conservative force acts on a body of mass 1 kg that moves along the x-axis. The potential energy U(x) is given by U (x) = 20 + (x – 2)², where x is in meters. At x = 5.0 m the particle has a kinetic energy of 20 J, then the maximum kinetic energy of body in J is.

(Ans. in ... × 10)

16. Two particles are simultaneously thrown from top of two towers with making angle 45º with horizontal.

Their velocities are 2 m/s and 14 m/s. Horizontal and vertical separation between these particles are 22 m and 9 m respectively. Then the minimum separation

between the particles in process of their motion in meters is (g = 10 m/s²).

B u = 2 m/s

v = 14 m/s 9m

45°

22m

17. Consider the circuit shown in figure. What is the current through the battery just after the switch is closed.

18V 2mH

9Ω 9Ω

9Ω S 2mH

18. A rectangular plate of mass 20 kg is suspended from points A and B as shown. If the pin B is suddenly removed then the angular acceleration in rad/sec² of the plate is : (g = 10 m/s²).

A B

b =0.15m

l =0.2m

19. If the temperature of a gas is raised by 1 K from 27ºC. Find the percentage change in speed of sound.

(Speed = 300 ms^–1) (Ans. in ... × 10²)

CHEMISTRY

Questions 1 to 4 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

1. In the precipitation of sulphides of second group basic radicals. H2S is passed into acidified solution with dilute HCl. If the solution is not acidified, then which of the following is correct ?

(A) Only the sulphides of second group get precipitated

(B) Only the sulphides of fourth group get precipitated

(D) Sulphides of both the groups second and fourth get precipitated

2. The geometrical shapes of XeF5+, XeF6 and XeF82–

respectively are -

(A) trigonal bipyramidal, octahedral and square planar

(B) square based pyramidal, distorted octahedral and octahedral

(D) square based pyramidal, distorted octahedral and square anti prismatic

3. Regarding graphite the following informations are available :

3.35Å

Top view

The density of graphite = 2.25 gm/cm³. What is C–C bond distance in graphite ?

(A) 1.68Å (B) 1.545Å (C) 2.852 Å (D) 1.426Å

4. The molecular formula of a non-stoichiometric tin oxide containing Sn(II) and Sn (IV) ions is Sn4.44 O8. Therefore, the molar ratio of Sn(II) to Sn(IV) is approximately -

(A) 1 : 8 (B) 1 : 6 (C) 1 : 4 (D) 1 : 1

Questions 5 to 9 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which MULTIPLE (ONE OR MORE) is correct.

5. The difference between ortho and para hydrogen is/are -

(A) they are electron spin isomer, where the spins of electrons are opposite

(B) ortho hydrogen is more stable at lower temperature

(D) they are nuclear spin isomers, where the spins of protons are opposite in para but same in ortho isomer

6. NGP assistance support for SN2 reaction will be seen in -

(A)

(B) CH3–S–CH2–CH2–Cl

(C)

COO OH

(D)

7. When the compound called isoborneol is heated with 50% sulfuric acid the product of the reaction is/are ?

^HO

Isoborneol

(A) (B)

8. Regarding the radial probability distribution (4nr²R²_nl) vs r plot which of the following is/are correct ?

(A) The number of maxima is (n-l) (B) The number of nodal points is (n-l-1)

(D) The number of angular nodes is l

9. H2C2O4 and NaHC2O4 behave as acids as well as reducing agents which is/are correct statement (s) ? (A) Equivalent wt. of H2C2O4 and NaHC2O4 are

equal to their molecular weights when behaving as reducing agent

(B) 100 mL of 1N solution of each is neutralised by equal volumes of 1M Ca(OH)2

(D) 100 mL of 1M solution of each is oxidised by equal volumes of 1M KMnO4

This section contains 2 questions (Questions 10 to 11).

(T) Chiral axis (element of chirality)

This section contains 8 questions (Questions 12 to 19).

13. 15g of a solute in 100g water makes a solution freeze at –1ºC. What will be the depression in freezing point if 30g of a solute is dissolved in 100g of water ? 14. The half lives of decomposition of gaseous CH3CHO

at constant temperature but at initial pressure of 364mm and 170mm Hg were 410 second and 880 second respectively. Hence what is the order of reaction.

15. The number of S–S bonds in sulphur trioxide trimer (S3O9) is ... .

16. The number of peroxo linkages present in the [H4B2O8]^2– is ... .

17. The maximum number of structural isomers (acyclic and cyclic) possible for C4H8 are ... .

18. What is the no. of lone pair of electrons present on N in Trisilylamine ?

19. A small amount of solution containing ²⁴Na with activity 2 × 10³ dps was administered into the blood of patient in a hospital. After 5 hour a sample of the blood drawn out from the patient shared an activity of 16 dps per cm³. (t1/2 of ²⁴Na = 15 hrs.) Find the volume (in L) of blood in patient.

[Given : log 1.2598 = 0.1003]

MATHEMATICS

Questions 1 to 4 are multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

1. The largest term in the expansion of (3 + 2x)⁵⁰, where x = 1/5, is -

(A) 5th (B) 6th

2. If 2

1sin^–1 



θ +

θ 2 cos 4 5

2 sin

3 = tan^–1 x, then x =

(A) tan 3θ (B) 3 tan θ (C) (1/3) tan θ (D) 3 cot θ 3. The integer n for which _n

x 0

x x

)

In document Dec 2009 (Page 58-63)