This practice test consists of IIT JEE 2008 solutions to help you practice for actual IIT JEE main examination.
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Q. No. 1 : Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different lengths of the pendulum and / or record time for different number of oscillations. The observations are shown in the table.
If are the percentage errors in g, i.e. for students I, II and III, respectively,
P3 > P2 > P1
P2 > P1 > P3
P1 > P2 >P3
P1 > P3 > P2
Q. No. 3 : Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?
Cut-off wavelength of the continuous X-rays depends on the atomic number of the target
Cut-off wavelength of the continuous X-rays depends on the energy of the electrons in the X-ray tube
Wavelength of characteristic X-rays decreases when the atomic number of the target increases
Intensity of the characteristic X-rays depends on the electric power given to the X-ray tube
Q. No. 4 : Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is ). In the position of minimum deviation, the angle of refraction will be
equal but not for both the colours
greater for the violet colour
greater for the red colour
Q. No. 6 : A spherically symmetric gravitational system of particles has a mass density Where is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance from the centre of the system is represented by
Q. No. 7 :Two balls, having linear momenta undergo a collision in free space. There is no external force acting on the balls. Let be their final momenta. The following option(s) is (are) NOT ALLOWED for any non-zero value of
(A),(D)
(B),(D)
(A),(C)
(C),(D)
Q. No. 8 : Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below.
(B)(A)
(C)(D)
(A)(D)
(B)(D)
(D)(B)
(B)(C)(D)
(A)(C)
(A)(C)(D)
Q. No. 10 : In a Young’s double slit experiment, the separation between the two slits is d and the wavelength of the light is . The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose the correct choice(s). (A) If the screen will contain only one maximum (B) If , at least one more maximum (besides the central maximum) will be observed on the screen (C) If the intensity of light falling on slit 1 is reduced so that it becomes equal to that of slit 2, the intensities of the observed dark and bright fringes will increase. (D) If the intensity of light falling on slit 2 is increased so that it becomes equal to that of slit 1, the intensities of the observed dark and bright fringes will increase
(A)(B)
(A)(B)(C)
Q. No. 11 : STATEMENT -1: In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance. and STATEMENT -2 : Resistance of a metal increases with increase in temperature.
STATEMENT -1 is False, STATEMENT -2 is True.
STATEMENT-1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1.
STATEMENT -1 is True, STATEMENT -2 is False.
STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is NOT a correct explanation for STATEMENT -1.
Q. No. 12 : STATEMENT -1:An astronaut in an orbiting space station above the Earth experiences weightlessness. and STATEMENT -2: An object moving around the Earth under the influence of Earth’s gravitational force is in a state of ‘free-fall’
STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1.
Q. No. 13 : STATEMENT -1:Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first. And STATEMENT -2: By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.
STATEMENT -1 is True, STATEMENT -2 is True; STATEMENT -2 is a correct explanation for STATEMENT -1
Q. No. 14 : STATEMENT -1: The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. And STATEMENT -2: In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.
STATEMENT -1 is False, STATEMENT -1 is True.
STATEMENT -1 is True, STATEMENT -1 is False.
Paragraph for Question Nos. 15 to 17
Only the force of gravity
The force due to gravity and the force due to the pressure of the liquid
The force due to gravity, the force due to the pressure of the liquid and the force due to viscosity of the liquid
The force due to gravity and the force due to viscosity of the liquid
Paragraph for Question Nos. 18 to 20 In a mixture of H – gas ( is singly ionized He atom), H atoms and ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to ions (by collisions). Assume that the Bohr model of atom is exactly valid.
4
2
5
3
Q. No. 19 : The wavelength of light emitted in the visible region by ions after collisions with H atoms is
Q. No. 20 : The ratio of the kinetic energy of the n = 2 electron for the H atom to that of ion is
1
1/2
1/4
Paragraph for Question Nos. 21 to 23
Q. No. 23 : If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is
four straight lines, when c = 0 and a, b are of the same sign
two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a
two straight lines and a circle, when a = b, and c is of sign opposite to that of a
a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a
n = 1, m = – 1
n = 1, m = 1
n = 2, m = 2
n > 2, m = n
0
BC
CD
BD
AB
AD
ACD
ABCD
BCD
ABC
STATEMENT-1 is True, STATEMENT-2 is False.
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1.
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1.
STATEMENT-1 is False, STATEMENT-2 is True.
Statement – 1 At least two of the lines and are non –parallel. Statement – 2 The three planes do not have a common point.
Statement – 1 The system of equations has no solution for
Statement – 2
The equation of circle C is
If , then
2g (-1)
-2g(1)
2g(1)
The number of elements in the set is
35 and 39
40 and 44
30 and 34
25 and 29
–3 and 9
–6 and 5
–3 and 4
–6 and 3
Q. No. 50 : Native silver metal forms a water soluble complex with a dilute aqueous solution of NaCN in the presence of
carbon dioxide
nitrogen
oxygen
argon
Q. No. 51 : Under the same reaction conditions, initial concentration of of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively. Ratio of the rate constants for first order and zero order of the reactions is
Q. No. 52 : 2.5 mL of M weak monoacidic base is titrated with in water at . The concentration of at equivalence point is
(B)(C)
(B)(C)&(D)
(A)(C)&(D)
(B)(C)&(A)
Q. No. 55 : A solution of colourless salt H on boiling with excess NaOH produces a non–flammable gas. The gas evolution ceases after sometime. Upon addition of Zn dust to the same solution, the gas evolution restarts. The colourless salt(s) H is (are)
(C)&(B)
(D)&(B)
(A)&(B)
(A)&(C)
Q. No. 56 : A gas described by van der Waals equation (A) behaves similar to an ideal gas in the limit of large molar volumes. (B) behaves similar to an ideal gas in the limit of large pressures. (C) is characterized by van der Waals coefficients that are dependent on the identity of the gas but are independent of the temperature. (D) has the pressure that is lower than the pressure exerted by the same gas behaving ideally.
(A)(B)&(D)
This section contains 4 multiple correct answers(s) type questions. Each question has 4 choices (A),(B),(C) and (D), out of which ONE OR MORE is/are correct. Q. No. 57 :STATEMENT-1: Bromobenzene upon reaction with gives 1,4-dibromobenzene as the major product. And STATEMENT-2: In Bromobenzene, the inductive effect of the bromo group is more dominant than the mesomeric effect in directing the incoming electrophile.
Q. No. 58 : STATEMENT-1: compounds are stronger oxidizing agents than compounds. and STATEMENT-2: The higher oxidation states for the group 14 elements are more stable for the heavier members of the group due to ‘inert pair effect’.
STATEMENT-11 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1.
Q. No. 59 : STATEMENT-1: The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of slope as the atomic number is increased. And STATEMENT-2: Proton–proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides.
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
Q. No. 60 : STATEMENT-1: For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero. And STATEMENT-2: At constant temperature and pressure, chemical reactions are spontaneous in the direction of decreasing Gibbs energy.
Q. No. 61 : In the following reaction sequence, products I, J and L are formed. K represents a reagent. The structure of the product I is
Q. No. 64 : There are some deposits of nitrates and phosphates in earth’s crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under the laboratory conditions but microbes do it easily. Ammonia forms large number of complexes with transition metal ions. Hybridization easily explains the ease of sigma donation capability of NH3 and PH3. Phosphine is a flammable gas and is prepared from white phosphorus. Among the following, the correct statement is
Between nitrates and phosphates, phosphates are less abundant in earth’s crust.
Phosphates have no biological significance in humans.
Oxidation of nitrates in possible in soil.
Between nitrates and phosphates, nitrates are less abundant in earth’s crust.
Between and , is a better electron donor because the lone pair of electrons occupies spherical ‘s’ orbital and is less directional.
Between and , is a better electron donor because the lone pair of electrons occupies orbital and is more directional.
dimerization reaction.
condensation reaction.
disproportionation reaction.
precipitation reaction.
Paragraph for Question Nos. 67 to 69 Properties such as boiling point, freezing point and vapour pressure of a pure solvent change when solute molecules are added to get homogeneous solution. These are called colligative properties. Applications of colligative properties are very useful in day–to–day life. One of its examples is the use of ethylene glycol and water mixture as anti–freezing liquid in the radiator of automobiles.
A solution M is prepared by mixing ethanol and water. The mole fraction of ethanol in the mixture is 0.9. Given: Freezing point depression constant of water Freezing point depression constant of ethanol Boiling point elevation constant of water Boiling point elevation constant of ethanol Standard freezing point of Standard freezing point of Standard boiling point of Standard boiling point of Vapour pressure of pure Vapour pressure of pure
Molecular weight of Molecular weight of In answering the following questions, consider the solutions to be ideal dilute solutions and solutes to be non–volatile and non–dissociative.Q. No. 67 : The freezing point of the solution M is
234.2 K
268.7 K
268.5 K
150.9 K
28.8 mm Hg
29.5 mm Hg
36.0 mm Hg
39.3 mm Hg
Q. No. 69 : Water is added to the solution M such that the mole fraction of water in the solution becomes 0.9. The boiling point of this solution is
376.2 K
380.4 K
375.5 K
354.7 K
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