FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com FIITJEE MOCK TEST-6 I I I I T T – – J J E E E E , , 2 2 0 0 1 1 9 9 PAPER-II Time: 3 Hours Maximum Marks: 204 A. Question Paper Format: 1. The question paper consists of 3 Parts (Physics-Part-I, Chemistry-Part-II, and Mathematics-Part-III). 2. Section A(i) contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 3. Section A(ii) contains 4 groups of questions. Each group has 2 questions based on a paragraph. Each question has 4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 4. Section A(iii) contains FOUR (04) questions. Each question has TWO (02) matching lists: LIST‐I and LIST‐II. FOUR options are given representing matching of elements from LIST‐I and LIST‐II. ONLY ONE of these four options corresponds to a correct matching. B. Marking Scheme: 5. For each question in Section A(i) you will be awarded 3 marks if you darken the bubble corresponding to the correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded. 6. For each question in Section A(ii), you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases, minus one (-1) mark will be awarded. 7. For each question in Section A(iii), you will be awarded 3 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all other cases, Minus one (-1) mark will be awarded. Enrolment No. : Name : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Batch : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Date:. . . . . . . . . . . . . . . . . . . . Paper Code 100395.4
A. Question Paper Format: 1. The question paper consists of 3 Parts (Physics-Part-I, Chemistry-Part-II, and Mathematics-Part-III). 2. Section A(i) contains 8 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer,
out of which only one is correct. 3. Section A(ii) contains 4 groups of questions. Each group has 2 questions based on a paragraph. Each question has
4 choices (A), (B), (C) and (D) for its answer, out of which only one is correct. 4. Section A(iii) contains FOUR (04) questions. Each question has TWO (02) matching lists: LIST‐I and
LIST‐II. FOUR options are given representing matching of elements from LIST‐I and LIST‐II. ONLY ONE of these four options corresponds to a correct matching.
B. Marking Scheme: 5. For each question in Section A(i) you will be awarded 3 marks if you darken the bubble corresponding to the
correct answer and zero mark if no bubble is darkened. In case of bubbling of incorrect answer, minus one (-1) mark will be awarded.
6. For each question in Section A(ii), you will be awarded 4 marks if you darken the bubble(s) corresponding to the correct answer and zero mark if no bubble is darkened. In all other cases, minus one (-1) mark will be awarded.
7. For each question in Section A(iii), you will be awarded 3 marks if you darken the bubble(s) corresponding to the correct choice(s) for the answer, and zero mark if no bubble is darkened. In all other cases, Minus one (-1) mark will be awarded.
This section contain 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE is/are correct.
1. Which of the following compounds will show geometrical isomerism? (A) [Pt(NH3)2Cl2] (B) [Co(NH3)5(NO2)]Cl2 (C) [Co(en)2Cl2]Cl (D) [Co(NH3)4Cl2]Cl 2. The label on a bottle containing a dilute aqueous solution of an acid became damaged. Only its
concentration was readable. A pH meter was nearby, and a quick measurement showed that the hydrogen ion concentration is equal to the value on the label. Which of the following four acids that could have been in the solution if the pH changed one unit after a tenfold dilution:
(A) HClO4 (B) H3BO3 (C) CH3COOH (D) HNO3 3. Consider the sequence of reactions shown below.
O
Excess HI
Xalcohol
KOH, Y
Z
(C8H14) (C8H14) Which of the following statement is/are true? (A) X is 5-iodo-2,4-dimethylhexan-1-ol. (B) Y on reaction with chlorine gives tetrachloro derivative (C) X is diiodo compound (D) Z is 2,4-dimethyl-1,3-hexadiene 4. Predict the product formed during the following reaction:
5. A gaseous catalyst X is added in a equilibrium mixture of N2, H2 and NH3 gases at 298 K keeping pressure constant. What will be observed at equilibrium reaction N2(g) + 3H2(g) 2NH3(g)
(A) Equilibrium will be unaffected (B) more NH3 gas will be formed (C) Dissociation of Ammonia will be favoured (D) Catalyst will change the value of equilibrium constant 6. Consider the following statement regarding aldol condensation which are correct? (A) Reaction can be catalysed in acidic or basic medium (B) A new C-C bond is always formed (C) CH3CHOand D3CCHO reacts at same rate if all other conditions are similar
(D) CH – CH = CH – C – H3
O
for aldol reaction conditions -hydrogen elimination does not occur.
7. In the Arrhenius equation Ea/RTk Ae , the rate constant k become equal to the Arrhenius constant
(A), when (A) The temperature becomes infinite (B) 50% reactants are converted to product (C) The fraction of the molecules crossing the energy barrier is unity (D) There is no need of activation energy to reactants for undergoing chemical change 8. Which of the following fischer projection represent L-Glucose?
Paragraph Type This section contains 8 multiple choice questions relating to four paragraphs with two questions on each paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Paragraph for Questions 9 and 10
Read the paragraph carefully and answer the following questions:
HCl
White pptSolutionof A B where A is white solid
2Cl water
Solublein waterB C
KI KIExcess Soluble completeRed ppt
C D E
4NH ClOH
E Brown ppt
2 2SnCl SnClHCl HCl grey
C B Metal
4FeSO2 4 ExcessColdSol.
A conc.H SO brown ring
9. What is B in the above sequence of reaction? (A) PbCl2 (B) AgCl (C) Cu2Cl2 (D) Hg2Cl2 10. What is E in the above sequence of reaction? (A) K2PbI4 (B) K2[AgI2] (C) K2HgI4 (D) K2[CuI4]
Paragraph for Questions 11 and 12
D – Mannose exists mainly in pyranose forms. The specific rotation of α-anomer is 290 and that of β-anomer is -170. The rotation the equilibrium mixture is +140. Answer the following questions from the given information. 11. The % of -anomer in the mixture is, (A) 32.6 (B) 67.4 (C) 42.6 (D) 57.4 12. What is the angle of rotation when a 5M - D mannopyranose is taken in a tube of length 200mm (A) 52.20 (B) 290 (C) 26.10 (D) 14.50
Paragraph for Questions 13 and 14 Imagine a universe in which the four quantum numbers can have the same possible values as in our universe except the angular momentum quantum number ‘ ’ can have integral values of 0, 1, 2, ……, n instead of 0, 1, 2,…. (n – 1) and magnetic quantum number ‘m’ can have integral values of 1 to 0 to 1 instead
of to 0 to + . 13. Based on above assumption magnetic moment of the element with atomic number 18, is: (A) 24 BM (B) 8 BM
(C) Zero BM (D) 15 BM
14. If spin quantum numbers are 1 1,0,2 2
based on the above assumption electronic configuration of the
element with atomic number 30 is: (A) 1s2 2s3 2p9 3s2 3p9 4s3 (B) 1s3 1p15 2s3 1d9
(C) 1s9 1p15 2s6 (D) 1s3 1p9 2s3 2p9 1d6
Paragraph for Questions 15 and 16
Hydrocyanic acid is a weak acid with dissociation constant Ka = 10–10. 10 L of pure water is accidentally contaminated by NaCN. The pH is found to be 10.50. 15. Calculate the mass of NaCN added. (A) 0.5gm (B) 0.05gm (C) 0.1gm (D) 0.01gm 16. Compare the concentrations of each of the species, Na+, H+ and CN– in the solution: (A) Na+ > OH¯ > CN¯ (B) CN¯ > OH¯ > Na+
This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
17. Match the List I with List II and choose the correct option from the codes given below:
List – I List – II
(P) H
ClPhKNH2
(1) β - elimination
(Q) SOCl2
CH3
H OH
Ph
(2) SN2
(R) Ph N
O
CH3
CH3
CH3
NaOH+
(3) elimination
(S) +
H3C N CH2CH3
CH2CH2CH3
CH2 CH2Ph
(4) SNi
Codes: P Q R S (A) 3 4 2 1 (B) 2 3 1 4 (C) 3 1 4 2 (D) 4 3 1 2 18. Match the List I with List II and choose the correct option from the codes given below:
List – I List – II (P) CO2 (1) electrophile (Q)
2NO (2) ambident nucleophile
(R) ||
3
OCH C H
(3) Ambident substrate
(S) CH3 HC
O
CH CH3
(4) Electrophile as well as nucleophile
Codes: P Q R S (A) 3 4 1 2 (B) 1 2 4 3 (C) 3 1 4 2 (D) 4 3 1 2
19. Match the List I with List II and choose the correct option from the codes given below: List – I List – II
(P) 10 volume H2O2 (1) Perhydrol
(Q) 20 volume H2O2 (2) 5.358 N
(R) 30 volume H2O2 (3) 1.785 M
(S) 100 volume H2O2 (4) 3.03% Codes: P Q R S (A) 3 4 1 2 (B) 2 3 1 4 (C) 3 1 4 2 (D) 4 3 2 1 20. Match the List I with List II and choose the correct option from the codes given below:
List – I List – II
(P) PCl5 (1) Two axial bond + two three lone pair
(Q) XeF2 (2) Two axial + two equatorial bond
(R) SF4 (3) Two axial + one equitorial bonds
(S) ClF3 (4) Three equitorail + two axial bond Codes: P Q R S (A) 3 4 1 2 (B) 2 3 1 4 (C) 4 1 2 3 (D) 4 3 1 2
This section contain 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE is/are correct.
1. For the equation |x2 + (k)1/3| = 16|x| where x is positive, k R to have a real solution the value of k
can be (A) 216 (B) 218 (C) 220 (D) 221 2. Let z1 and z2 be complex number with |z1| = |z2| = 1 then the minimum value of |z1 + 1| + |z2 + 1| + |z1z2 + 1| is (A) 1 (B) 2 (C) 3 (D) 4 3. Let abc = 8, (a, b, c 0) and the real valued function
f(x) = bc(ax – 1)2 + ca(bx – 1)2 + ab(cx – 1)2 has minimum value at 1x2
, then the value of
a16 + b17 + c16 (A) 215 (B) 216 (C) 217 (D) 218 4. The number of ordered pairs (x, y) satisfying the following system of equation 2y – x (x + y) = 1, (x + y)x – y = 2 can be (A) 1 (B) 2 (C) 3 (D) none of these
5. Let + = 1, 22 + 22 = 1 and f(x) be a continuous function such that f(x + 2) + f(x) = 2
x [0, 2] and 4
0
p 4 f x dx & q
, exactly one root of the equation ax2 – bx + c = 0, is lying
between p and q, when a, b, c N then (A) b2 – 4ac 0 (B) c(a – b + c) > 0 (C) b2 – 4ac 0 (D) c(a – b + c) < 0
6. Let x, y be such that sin–1 ax + cos–1 y + cos–1 (bxy) = 2 if x2 + y2 = 1 then
(A) a = 1 (B) b = 0 (C) a = 0 (D) b = 1 7. Given functions f and g such that for all x, (g(x))2 – (f(x))2 = 1, f(x) = (g(x))2 and f(x) and g(x) exist
g(x) < 0, f(0) = 0 then which is true (A) g(x) = f(x)g(x) (B) g has a relative maximum at x = 0 (C) f has a point of inflection at x = 0 (D) f(x) is not periodic 8. Consider the integers an, bn, cn where an = nC0 + nC3 + nC6 + ….. bn = nC1 + nC4 + nC7 + ….. cn = nC2 + nC5 + nC8 + ….. then (A) 3 3 3
n n n n n na b c 3a b c is equal to 2n
(B) 2 2 2n n n n n n n n na b c a b b c c a is equal to 1
(C) 3 3 3n n n n n na b c 3a b c is equal to 3n
(D) 2 2 2n n n n n n n n na b c a b b c c a is equal to 2
Paragraph Type This section contains 8 multiple choice questions relating to four paragraphs with two questions on each paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Paragraph for Questions 9 and 10
Read the following write up carefully and answer the following questions: There are m seats in the first row of a theatre, of which n are to be occupied 9. Number of ways of arranging n persons so that each person has exactly one neighbour (A) nPn/2 m – n + 1Pn/2 (B) nPn/2 (m + 1)Pn/2 (C) nCn/2 m – n + 1Cn/2 (D) nCn/2 m – n+1Pn/2 10. Number of ways of arranging n persons so that there should be at least two empty seats between any
two persons (A) m – 2n + 2Cn
n! (B) m – n + 1Cn (n – 2)! (C) m – n – 1Pn (D) m – nPn n!
Paragraph for Questions 11 and 12
Read the following write up carefully and answer the following questions: Let A, B be variable points on a parabola P, such that the tangents at A and B are perpendicular to each other, the locus of the centroid of the triangle formed by A, B and the vertex of P is a parabola P1, on applying the same process to P1, obtaining the parabola P2, and repeat the process obtaining all together the sequence of parabola P, P1, P2, P3 ….. Pn if the equation of P is y2 = ax 11. Find the equation of Pn
Paragraph for Questions 13 and 14 Read the following write up carefully and answer the following questions: A JEE aspirant estimates that he will be successful with an 80% chance if he studies 10 hr/day with 60% chance if he studies 7 hr/day as with 40% chance if he studies 4 hr/day he further believe that he will study 10 hr, 7 hr, and 4 hr/day with probability 0.1, 0.2 and 0.7 respectively 13. The chance he will successful is (A) 0.28 (B) 0.38 (C) 0.48 (D) 0.58 14. Given that he is successful, the probability the he studies for 4 hr/day is
(A) 612
(B) 712
(C) 812
(D) 912
Paragraph for Questions 15 and 16
Read the following write up carefully and answer the following questions: In the adjacent figure AO(O being origin) is the median through the vertex A of the ABC. Now, considering two upward parabola P1 and P2 P1 : y = x2 + 2px + q1 (p, q R) is passing through A and has its vertex at B P2 : y = ax2 + 2bx + 1 (a, b R) is passing through A and has its vertex at C
B
A y
O
C
x
15. Which of the following is correct? (A) p2 – b2 > q – a (B) (p2 – q)(b2 – a) > 0
(C) p2 + b2 = q + a (D) 22
a q p 1b
16. The product of roots of the equation x2 + 2px + q = 0 must lie in the interval
Matching list Type This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 17. Match the following List–I with List–II.
List – I List – II (P) Let R = {x, y / |x| + |y| + |x + y| 2 x, y R} then area of the
region R in the xy–plane (in square units) is 1. 2
(Q) If a function satisfy (x – y)f(x + y) – (x + y)f(x – y) = 2(x2y – y3) x, y R and f(1) = 2 then f(3) is
2. 3
(R) Let f(x) = x + sin x then area bounded by y = f–1(x), y = x, x [0, ] is
3. 42
(S) If a, b, c, d are in increasing G.P. if the AM between a and b is 6 and the AM between c and d is 54 then AM and a and d is
4. 12
Codes: P Q R S (A) 2 4 3 1 (B) 3 4 1 2 (C) 1 3 2 4 (D) 2 4 1 3 18. Match the following List–I with List–II.
List – I List – II
(P) 2 2
0
x sin sin x cos cos x dx
1. 2
32
(Q) 2 /16
0
2sin x x cos x dx
2. 2
2
(R) / 4
/ 4
ln 1 sin2x dxln2
3.
2
4
(S) 3 4 2
2 20
x cos xsin x dx3 x 3x
4. 2
8 2
Codes: P Q R S (A) 2 4 1 3 (B) 3 1 4 2 (C) 1 3 2 4 (D) 2 4 3 1
This section contain 8 multiple choice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE is/are correct.
1. The frequency of revolution of electron in nth orbit of Bohr model is n . The graph between n
1
log
and log(n) will be (where n is frequency of revolution in nth orbit, 1 is frequency of revolution in first
orbit and n is nth orbit revolution. (A)
(B)
(C)
(D)
2. A particle is released from ‘A’ along a rough track as shown in the
figure and it stops at point ‘B’. Horizontal displacement between point A and B is x. The coefficient of friction between particle and track is ‘’. The difference in height between point ‘A’ and ‘B; is
3. A partition divides a container having insulated walls into two
compartments I and II. The same gas filled in both compartments whose initial parameters are given. The partition is conducting wall which can freely move without friction. Choose the correct statements (is/are), with respect to the final equilibrium position.
(A) The pressure in two compartments are equal. (B) Volume of compartment I is 3V/5. (C) Volume of compartment II is 12V/5. (D) Final pressure in compartment I is 5P/3.
P, V, T
I
2P, 2V, T
II
4. Two blocks of mass 5 kg and 10 kg are kept on a rough
horizontal surface as shown in figure. A force ‘F’ is applied on upper block of mass 10 kg. Now choose the correct statement(s) regarding the system.
5 kg
10 kg F = 0.1
= 0.3
(A) If magnitude of applied force is 2N then frictional force between the blocks is also 2N. (B) The acceleration of 10 kg block is 2 m/s2 when applied force is 30 N. (C) The minimum value of F for which 5 kg block begin to slide if coefficient of friction between blocks
is changed to 0.5 is 45 N. (D) 5 kg block will never move on the ground for any value of F if coefficient of friction between blocks
is 0.1 and between block and surface is 0.3 5. Which of the following statement(s) is/are correct. (A) A plane mirror cannot form real image of real object. (B) A ray of light gets reflected successively from two mirrors which are mutually perpendicular, net
angular deviation suffered by the ray does not depend upon angle of incidence on first mirror. (C) When a glass prism is completely submerged in water then its dispersive power increases. (D) Refractive index of a material does not depend upon wavelength of light. 6. A cube of mass 10 kg and side 5 cm is placed on a horizontal surface. A
force ‘F’ is applied along face CD as shown. Choose the correct statement(s).
(A) If 50 < F < 100 then acceleration of centre of mass is zero. (B) The normal on cube due to the surface must be 100 N. (C) Cube will begin to move when applied force is just greater than 50 N.
A D
C B
F
(D) The normal on cube due to surface may be 60 N.
7. Two small identical metal balls A and B of radius ‘r’ are placed apart. The distance between centre of
balls is ‘a0’. The net potential of ball A is V1 and that of B is V2. Let q1 and q2 are the charges on balls A and B respectively. Then the charge on A and B are (given r a0)
(A) 0 1 0 21 0 2 2
0
a r(V a V r)q 4
a r
(B) 0 1 0 21 0 2 2
0
a r(V a V r)q 4
a r
(C) 0 2 0 12 0 2 2
0
a r(V a V r)q 4
a r
(D) 0 2 0 12 0 2 2
0
a r(V a V r)q 4
a r
8. The transition from the state n = 5 to n = 4 in a hydrogen like atom results in infrared radiation.
Ultraviolet radiation may be obtained in the transition. (A) 3 2 (B) 4 2 (C) 3 1 (D) 6 5
Paragraph Type
This section contains 8 multiple choice questions relating to four paragraphs with two questions on each paragraph. Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Paragraph for Questions 9 and 10 A thin, uniform rod with negligible mass and length ‘’ is attached to the floor by a frictionless hinge at its one point P as shown in the figure. I is the current in the rod. A horizontal spring of spring constant k connects a vertical wall and other end Q of the rod. The whole system is kept in a horizontal uniform magnetic field whose magnitude is B (gravity is absent in the space). 9. The torque due to magnetic force on the rod about point ‘P’ is (A) IB2 (B) 2IB2
(C) 2IB
2 (D) zero
k
I
B
53
P
Q
10. The potential energy stored in the spring at equilibrium, if rod makes an angle 53, is
Paragraph for Questions 11 and 12 In the following figure, the dotted lines show the equipotential lines of electrostatic fields.
5V 10V 15V 20V 25V
A B
(I)
5V 10V 15V 20V 25V
A
B
(II)
5V 10V 15V 20V 25V
A
B
(III) 11. If a positive unit point charge is taken from A to B slowly in all three cases then work by an external
agent needed to move is (A) maximum in case III (B) maximum in case I (C) same for all three cases (D) minimum in case I 12. If a charge (+q) is placed at point ‘B’ in case II, then direction of force on ‘B’ is (A) along the line AB from B to A (B) perpendicular to equipotential surface towards left (C) perpendicular to equipotential surface towards right (D) can not say
Paragraph for Questions 13 and 14 An uncharged spherical conductor of radius R centered at the origin has a cavity of some arbitrary shape carved out of it as shown in figure. Some where within the cavity is a charge ‘q’ lies as shown in figure.
q
O
r
P 1r
2r
13. The field at P outside the sphere due to induced charge on the sphere is
(A) 131
Kqrr
(B) 1 2
3 31 2
r rKqr r
(C) 1 23 3
1 2
r rKqr r
(D) 1 2
3 31 2
r rKqr r
14. The potential at P due to induced charge is
(A) 1 2
1 1Kqr r
(B)
1 2
1 1Kqr r
(C) 1 2
1 1Kqr r
(D) 1
Kqr
Paragraph for Questions 15 and 16
Each resistance in the circuit is R = 13 then, answer the following questions. 15. If a battery of 18 volt is connected across A and
C then the current in branch AE is (A) 1 amp (B) 0.5 amp (C) 2 amp (D) 0.25 amp 16. Power developed in resistance across GB. (A) 25/52 watt (B) 50/32 watt (C) 15/26 watt (D) 25/26 watt
Matching list Type This section contains 4 multiple choice questions. Each question has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 17. Two blocks of masses 1 kg and 3 kg are connected by
an inextensible string through a massless pulley as shown in figure. All surfaces are smooth. A ball ‘A’ of mass 1 kg is moving towards block of mass 1 kg with a velocity 10 m/s and collides inelastically at t = 0. Consider that there will be no jump of 3 kg block at any time. Now match list 1 to list 2.
3 kg
1 kg
A
30
List – I List – II
(P) The combined mass travels up the incline by a distance (in SI unit) (1) 1
(Q)
When combined mass come back to its initial position, string regain its tension, then at the same moment velocity (In SI unit) of block of mass 3 kg
(2)
0.5
(R) The mass 3kg moves up to a height (in SI unit) before stop (3) 2
(S) Time (in SI unit) taken by 3 kg block to rise up and come back to its initial position. (4) 2.5
Codes: P Q R S (A) 2 3 1 4 (B) 1 4 2 3 (C) 4 3 2 1 (D) 2 3 4 1
A of small variable cross-section. Tube – 1, tube- 2, and tube – 3 is connected at point 1, 2 and 3 respectively as shown. Let h1, h2 and h3 are the final heights of liquid in tube 1, 2 and 3 respectively and v1, v2 and v3 are the velocity of liquid at cross-section 1, 2 and 3 respectively. Match the quantities in list – I and list –II.
1 2 3
Tube-1
Tube-2 Tube-3
List – I List – II
(P) h1 is (1) Less than h3 (Q) h2 is (2) Greater than h3 (R) v1 is (3) Less than v3 (S) v2 is (4) Greater than v3 Codes: P Q R S (A) 2 3 1 4 (B) 1 4 2 3 (C) 4 1 2 3 (D) 2 1 3 4 19. Some numbers and experimental data are given in List – I and their significant figure are given in List
– II. Match List – I to List – II.
List – I List – II (P) 1.732 cm (measured by meter scale) (1) 1 (Q) 100 (2) 4 (R) 4.70 105 (3) 2
(S) 1.674 cm (Measured by Screw gauge having least count 0.001 cm) (4) 3
Codes: P Q R S (A) 2 3 1 4 (B) 3 1 4 2 (C) 4 1 2 3 (D) 2 3 4 1
20. Some rigid bodies connected with springs are shown in List – I. All the rigid bodies shown are in equilibrium and their time periods of oscillation are given in List – II.
List – I List – II
(P)
R/2
2k k
(1) m m
6k 2k
A solid sphere of mass m and radius ‘R’ are connected with two springs friction is sufficient to present slipping. Now solid sphere is slightly displaced then its time period is
(Q)
4k
k
(2) 2m2k
A block of mass ‘m’ is connected with two springs and a mass less pulley. Now is block is slightly displaced from its equilibrium position then its time period is
(R) k
k
k
(3) 28m245k
A block of mass m is connected with three springs and a massless pulley. Surface is smooth and block is slightly shifted toward right then its time period is
(S)
k
k
(4) 5m2k
Masses of pulley and blocks are ‘m’ and friction is sufficient to prevent slipping between string and pulley. Now block is slightly displaced then its time period is
Codes: P Q R S (A) 2 3 1 4 (B) 1 4 2 3 (C) 3 2 1 4 (D) 2 3 4 1
