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JEE Advanced 2009 Paper 1

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JEE Advanced 2009 Paper 1 — 60 questions in one page

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Exam
JEE Advanced
Year
2009
Session
Paper 1
Language
English
Questions
60
All questions

60 questions of JEE Advanced 2009 Paper 1

Original printed text, with options shown where available. Use the jump-to-question dropdown in the hero to move faster.

Question 1

Given that the abundances of isotopes54Fe,6Fe and 57Fe are 5%, 90% and 5% respectively, the atomic mass of Fe is
  1. 55.85
  2. 55.95
  3. 55.75
  4. 56.05

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Question 2

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

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Question 3

Among the electrolytes NaSO4CaClAlSO3 and NHCl, the most effective coagulating agent for SbS sol is
  1. NaSO
  2. CaCl
  3. AlSO3
  4. NHC1

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Question 4

The Henry's law constant for the solubility of N gas in water at 298 K is 1.0 10 atm.The mole fraction of N in air is 0.8.The number of moles of N from air dissolved in 10 moles of water at 298 K and 5 atm pressure is
  1. 4.0104
  2. 4.010
  3. 5.010
  4. 4.0106

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Question 5

The reaction of P with X leads selectively to PO6.The X is
  1. Dry O
  2. A mixture of O and N
  3. Moist O
  4. O in the presence of aqueous NaOH

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Question 7

Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is weakest is (A Nylon

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Question 11

The compound(s) formed upon combustion of sodium metal in excess air is(are) A NaO BNaO CNaO D NaOH Answer OR

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Question 19

Match each of the diatomic molecules in Column I with its property/properties in Column II. Column I Column II

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Question 20

Match each of the compounds in Column I with its characteristic reaction(s in Column II. Column I Column II

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Question 21

Let P3,2,6) be a point in space and Q be a point on the line 7=i-j+2k+-3i+j+5k. Then the value of for which the vector PQ is parallel to the plane x-4y+3z =1 is

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Question 22

Tangents drawn from the point P(1,8) to the circle x2+y2-6x-4y-11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is
  1. x2+y2+4x-6y+19=0
  2. x+y2-4x-10y+19=0
  3. x2+y2-2x+6y-29=0
  4. x2+y2-6x-4y+19=0

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Question 24

Let z =x +iy be a complex number where x and y are integers.Then the area of the rectangle whose vertices are the roots of the equation 22+22=350 is
  1. 48
  2. 32
  3. 40
  4. 80

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Question 25

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x2+9y2=9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A,M and the origin O is 31 29 21 27

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Question 26

If db,c and d are unit vectors such that axB)xd)=1 and a.c= 2' then A) db,c are non-coplanar Bb,c,d are non-coplanar

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Question 28

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only, is
  1. 55
  2. 66
  3. 77
  4. 88

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Question 31

In a triangle ABC with fixed base BC, the vertex A moves such that 2 If a,b and c denote the lengths of the sides of the triangle opposite to the angles A,B and C,respectively,then Ab+c=4a Bb+c=2a

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Question 34

The number of matrices A in for which the system of linear equations has a unique solution, is
  1. less than 4
  2. at least 4 but less than 7
  3. at least 7 but less than 10
  4. at least 10

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Question 40

Match the conics in Column I with the statements/expressions in Column II. Column I Column II (A Circle p The locus of the point hk for which the line B Parabola hx+ky=1 touches the circle x2+y=4

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Question 41

Three concentric metallic spherical shells of radii R, 2R,3R, are given charges QQ2,Q3,respectively.It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, QQ2Q3is
  1. 1:2:3
  2. 1:3:5
  3. 1:49
  4. 1:8:18

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Question 42

A block of base 10 cm 10 cm and height 15 cm is kept on an inclined plane.The coefficient of friction between them is 3. The inclination 0 of this inclined plane from the horizontal plane is gradually increased from O.Then A at 0= 30, the block will start sliding down the plane B) the block will remain at rest on the plane up to certain O and then it will topple C at 0= 60, the block will start sliding down the plane and continue to do so at higher angles

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Question 43

A ball is dropped from a height of 20 m above the surface of water in a lake.The refractive index of water is 4/3.A fish inside the lake, in the line of fall of the ball, is looking at the ball.At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as Take g=10 m/s.]
  1. 9m/s
  2. 12 m/s
  3. 16m/s
  4. 21.33 m/s

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Question 44 (figure/table included)

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness.The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. The mass of the ink used to draw the outer circle is 6m. The coordinates of the centres of the different parts are:outer circle (O, O), left inner circle -aa) right inner circle aa) vertical line 0,0 and horizontal line (0,-a). The y-coordinate of the centre of mass of the ink in this drawing is iy

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Question 45 (figure/table included)

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2u, respectively, as shown in the figure. Between collisions, the particles move with constant speeds.After making how many elastic collisions, other than that at A, these two particles will again reach the point A? VA 2v
  1. 4
  2. 3
  3. 2
  4. 1

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Question 46 (figure/table included)

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure.The magnitude of the field increases with time.I and I are the currents in the segments ab and cd.Then, d X b
  1. I>I2
  2. I<I
  3. I is in the direction ba and I is in the direction cd
  4. I is in the direction ab and I is in the direction dc

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Question 47

A disk of radius a/4 having a uniformly distributed charge 6C is placed in the x-y plane with its centre at -a/2, 0, 0).A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from x =a/4 to x =5a/4.Two point charges -7C and 3C are placed ata/4-a/40 and -3a/4,3a/4,0 respectively.Consider a cubical surface formed by six surfaces x =a/2,y =a/2, z=a/2.The electric flux through this cubical surface is -2C 2C 10C 12C

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Question 48 (figure/table included)

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t =4/3 s is x(cm) 4 8 12 ts)

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Question 49

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that

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Question 50

A student performed the experiment of determination of focal length of a concave mirror by u-v method using an optical bench of length 1.5 meter.The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm.The 5 sets of u,v values recorded by the student (in cm) are:42,56, (48,48(60,40(66,33)(78,39.The data sets)that cannot come from experiment and is (are) incorrectly recorded,is (are)
  1. 42,56
  2. 48,48
  3. 66,33
  4. 78,39

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Question 51 (figure/table included)

For the circuit shown in the figure 2k R 24 V 6 k 3R2 RL1.5k W A the current I through the battery is 7.5 mA (B the potential difference across R is 18 V C ratio of powers dissipated in R and R is 3 D) if Rand R are interchanged,magnitude of the power dissipated in R will decrease by a factor of 9

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Question 52

C and C denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

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Question 54

Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with kinetic energy 1.5 kT,when the separation between them is large enough to neglect Coulomb potential energy.Also neglect any interaction from other particles in the core. The minimum temperature T required for them to reach a separation of 4 1015m is in the range
  1. 1.010KT2.010K
  2. 2.010KT3.010K
  3. 3.010KT4.010K
  4. 4.010KT5.010K

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Question 55

Results of calculations for four different designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on Lawson criterion?
  1. deuteron density =2.01012cm³confinement time =5.0103s
  2. deuteron density =8.01014cmconfinement time =9.010s
  3. deuteron density =4.01023cmconfinement time=1.0101s
  4. deuteron density =1.01024cm³confinement time =4.010-12 s

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Question 57

If the mass of the particle is m =1.010-30kg and a = 6.6 nm, the energy of the particle in its ground state is closest to
  1. 0.8 meV
  2. 8 meV
  3. 80 meV

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Question 59

Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown.Let E be the electric field and V be the electric potential at M (potential at infinity is zero) due to the given charge distribution when it is at rest.Now, the whole system is set into rotation with a constant angular velocity about the line PQ Let B be the magnetic field at M and be the magnetic moment of the system in this condition.Assume each rotating charge to be equivalent to a steady current. Column I Column II (A E=0 (p) Charges are at the corners of a regular hexagon. M is at the centre

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Question 60 (figure/table included)

Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II. Column I Column II A The force exerted (d) Block Y of mass M left on a by X on Y has a fixed inclined plane X, slides magnitude Mg. on it with a constant velocity.

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