Vidyapeeth Talent Search Examination Class XI Question Paper : vidyapeethacademy.com
Name of the Organisation : Vidyapeeth Academy
Name of the Paper : Vidyapeeth Talent Search Examination
Class : XI
Document Type : Sample Paper Question / Answer
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Vidyapeeth Talent Search Examination Class XI Question Paper
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Related / Similar Question Paper :
Vidyapeeth Talent Search Examination Class XII Question Paper
Instructions
1. Immediately fill in the particulars on this page of the Test Booklet with Black Ball Point Pen. Use of pencil is strictly prohibited.
2. The Answer Sheet is kept inside this Test Booklet. When you are directed to open the Test Booklet, take out the Answer Sheet and fill in the particular carefully.
3. The test is of 3 hours duration.
4. The Test Booklet consists of 90 questions. The maximum marks are 360.
5. There are three parts in the question paper A, B, C consisting of Physic, Chemistry and Mathematics having total 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct response.
6. Candidates will be awarded marks as stated above in Instructions No. 5 for correct response of each question. ¼ (one fourth) marks will be deducted for indicating incorrect response of each question. No deduction from the total score will be made if no response is indicated for an item in the answer sheet.
7. There is only one correct response for each question. Filling up more than one response in any question will be treated as wrong response and marks for wrong response will be deducted accordingly as per instructions 6 above.
8. No candidate is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic device, etc., except the Admit Card inside the examination room/hall.
9. Rough work is to be done on the space provided for this purpose in the Test Booklet only. This space is given at the bottom of each page and in one page at the end of the booklet.
10. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/ Hall. However, the candidates are allowed to take away this Test Booklet with them.
11. The CODE for this Booklet A. Make sure that the CODE printed on the Answer Sheet is the same as that on this booklet. In case of discrepancy, the candidate should immediately report the matter to the Invigilator for replacement of both the Test Booklet and the Answer Sheet.
12. Do not fold or make any stray marks on the Answer Sheet.
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Part I – Physics
Q.1 P-T diagram is shown below then choose the corresponding V-T diagram
Q.2 Which of the following will have maximum total kinetic energy at temperature 300 K.
(A) 1 kg, 2 H
(B) 1 kg, He
(C) 2 1 kgH 1kgHe2 2
(D) 2 1 kgH 3 kgHe
3. Four particles have velocities 1, 0, 2, 3 m/s. The root mean squre velocity of the particles is: (in m/s)
(A) 3.5
(B) 3.5/4
(C) 1.5
(D) 14
4. The change in internal energy of two moles of a gas during adiabatic expansion is found to be -100 joule. The work done during the process is –
(A) 100 joule
(B) 300 joule
(C) zero
(D) 200 joule
5. If a bimetallic strip is heated, it will.
(A) Bend towards the metal with lower thermal expansion coefficient.
(B) Bend towards the metal with higher thermal expansion coefficient.
(C) Twist itself into helix]
(D) Have no bending.
6. A pendulum clock has an iron pendulum 1m long 5 o iron ( 10 / C). If the temperature rises by 10oC, the clock-
(A) Will lose 8 seconds per day
(B) Will lose 4.32 seconds per day
(C) Will gain 8 seconds per day
(D) Will gain 4.32 seconds per day
7. The volume of a solid decreses by 0.6% when it is cooled through 50oC. lts coefficient of liner expansion is –
(A) 4 ?10?6K
(B) 5 ?10?5K
(C) 6 ?104K
(D) 4 ? 10?5K
8.Equation of two S.H.M. 1 2 x ? 5sin(2?t ? ? / 4), x ? 5. 2(sin2t ? cos2?t) ratio of amplitude & phase difference will be
(A) 2 : 1, 0
(B) 1 : 2, 0
(C) 1: 2,? / 2
(D) 2 :1,? / 2
9. For a particle executing SHM, which of the following statements does not hold good ?
(A) The total energy of the particle always remains the same
(B) The restoring force is always directed towards a fixed point
(C) The restoring force is maximum at the extreme positions
(D) The velocity of the particle is minimum at the centre of motion of the particle
10 The graph in the figure shows how the displacement of a particle describing S.H.M. varies with time. Which one of the following statements is not true ?
(A) The force is zero at time 3T 4
(B) The velocity is maximum at time T/2
(C) The acceleration is maxium at time T
(D) The P.E. = total energy at time T/2
11 For a particle executing SHM, which of the following statements does not hold good ?
(A) The total energy of the particle always remains the same
(B) The restoring force is always directed towards a fixed point
(C) The restoring force is maximum at the extreme positions
(D) The velocity of the particle is minimum at the centre of motion of the particle
12 The total energy of the body executing S.H.M. is E. Then the kinetic energy when the displacement is half of the amplitude, is
(A) E 2
(B)E 4
(C)3E4
(D) 3 E 4
13 A linear harmoic oscillator of force constant 2 ? 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 joules. lts –
(A) Maximum potential energy is 100 J
(B) Maximun K.E. is 100 J
(C) Maximum P.E. is 40 J
(D) Minimum P.E. is zero
14 A particle executing S.H.M of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is –
(A) 1 sec
(B) 1/3 sec
(C) 2/3 sec
(D) 3 / 2 sec
15. If Length of simple pendulaun is pendulaun is inecreased by 6% then percentage change in time-period will be
(A) 3%
(B) 9%
(C) 6%
(D) 1/ 9%
16 A linear harmoic oscillator of force constant 2 ? 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 joules. lts –
(A) Maximum potential energy is 100 J
(B) Maximun K.E. is 100 J
(C) Maximum P.E. is 40 J
(D) Minimum P.E. is zero
17 A particle executing S.H.M of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is –
(A) 1 sec
(B) 1/3 sec
(C) 2/3 sec
(D) 3 / 2 sec
18. The amplitude of a darmped harmonic oscillator become havled in 1 minute. After three minutes the amplitude will become 1/x of initial amplitude where x is –
(A) 8
(B) 2
(C) 3
(D) 4
Q.19 If Length of simple pendulaun is pendulaun is inecreased by 6% then percentage change in time-period will be
(A) 3%
(B) 9%
(C) 6%
(D) 1/ 9%
Q.20 The amplitude of a darmped harmonic oscillator become havled in 1 minute. After three minutes the amplitude will become 1/x of initial amplitude where x is –
(A) 8
(B) 2
(C) 3
(D) 4
Q.21 Two particles of medium disturbed by the wave propagation are at 1 2 x ? 0 and x ? 1cm. The respective displacement (in cm) of the particles can be given by the equations : 1 2 y ? 2sin3?t, y ? 2sin(3?t ? ? / 8) The wave velocity is :
(A) 16 cm/sec
(B) 24 cm/sec
(C) 12 cm/sec
(D) 8 cm/sec.
Q.22 A string is stretched by a force of 40N . The mass of 10 m length of this string is 0.01kg. The speed of transverse waves in this string will be –
(A) 400 m/s
(B) 40 m/s
(C) 200 m/s
(D) 80 m/s
Part II – Chemistry
Q.21. A string is stretched by a force of 40N . The mass of 10 m length of this string is 0.01kg. The speed of transverse waves in this string will be –
(A) 400 m/s
(B) 40 m/s
(C) 200 m/s
(D) 80 m/s
Q.22 A travelling wave y ? Asin(kx ? ?t ? ?) passes from a heavier string to a lighter string. The reflected wave has amplitude 0.5 A. The junction of the strings is at x ? 0 . The equation of the reflected wave is :
(A) y’ ? 0.5A sin(kx ? ?t ? ?)
(B) y’ ? ?0.5A sin(kx ? ?t ? ?)
(C) y’ ? ?0.5A sin(kx ? ?t ? ?)
(D) y’ ? ?0.5A sin(kx ? ?t ? ?)
Q.23 Which of the following travelling wave will produce standing wave, with node at x ? 0 , when superimposed on y ? sin(?t ? kx)
(A) Asin(?t ? kx)
(B) Asin(?t ? kx ? ?)
(C) Acos(?t ? kx)
(D) Acos(?t ? kx ? ?)
Q.24 Two small boats are 10m apart on a lake. Each pops up and down with a period of 4.0 seconds due to wave motion on the surface of water. When one boat is at its highest point, the other boat is at its lowest point. Both boats are always within a single cycle of the waves. The speed on the waves in m/s is :
(A) 2 m/s
(B) 2.5 m/s
(C) 10 m/s
(D) 5 m/s
Q.25 Three waves of equal frequency having amplitudes 10?m, 4?m and 7?m arrive at a given point with a successive phase difference of ? / 2. The amplitude of the resulting wave in ?m is
(A) 10
(B) 5
(C) 15
(D) 20
Q.26 2 butyne and 1, 3-butadiene are :
(A) chain isomer
(B) position isomer
(C) functional isomer
(D) tautomers
Q.27 Which of the following pairs of compounds may be regarded both as functional isomer and position isomer ?
(A) Benzyl alcohol and methoxy benzene
(B) o-cresol and p-cresol
(C) Benzyl alcohol and o-cresol
(D) Benzyl alcohol and benzyl methyl ether
Q.27 Maleic acid and fumaric acid are :
(A) position isomer
(B) geometrical isomer
(C) enantiomers
(D) functional isomer
28. What is the relationship between the molecules in the following pairs ?
(A) enantiomers
(B) diastereomers
(C) identical
(D) structural isomers
29. The following compounds are identical with respect to :
(A) molecular composition
(B) boiling point
(C) melting point
(D) IUPAC name
30. 2 butyne and 1, 3-butadiene are :
(A) chain isomer
(B) position isomer
(C) functional isomer
(D) tautomers
31 Which of the following pairs of compounds may be regarded both as functional isomer and position isomer ?
(A) Benzyl alcohol and methoxy benzene
(B) o-cresol and p-cresol
(C) Benzyl alcohol and o-cresol
(D) Benzyl alcohol and benzyl methyl ether
32. Maleic acid and fumaric acid are :
(A) position isomer
(B) geometrical isomer
(C) enantiomers
(D) functional isomer
33. Total number of isomers (stereo & structural ) possible for 5 10 C H are
(A) 5
(B) 6
(C) 7
(D) 8
Part III – Mathematics
34 From a point (sin?, cos?), if three normals can be drawn to the paraboda y2 ? 4ax, then the value of a is
(A) (1/2, 1)
(B) [?1/ 2, 0]
(C) [1/ 2, 0]
(D) (?1/ 2, 0) U(0, 1/ 2)
35. The length of normal chord of the parabola y2 ? 4x which makes an angle of ? / 4 with the axis of x is
(A) 8
(B) 8 2
(C) 4
(D) 4 2
36. If the normal to the parabola y2 ? 4ax at three points (ap2, 2ap), (aq2 , 2aq) and (ar2,2ar) are concurrent, then the common root of equations px2 ? qx ? r ? 0 and a(b ? c)x2 ? b(c ? a)x ? c(a ? b) ? 0 is
(A) p
(B) q
(C) r
(D) 1
37. The locus of the center of a circle which cuts orthogonally the parabola y2 ? 4x at (1, 2) will pass through
(A) (3, 4)
(B) (4, 3)
(C) (5, 3)
(D) (2, 4)
38. The chords of contanct of a point P w.r.t a hyperbola and its auxiliary circle are at right angle. Then the point P lies on
(A) Conjugate hyperbola
(B) One of the directrix
(C) One of the asymptotes
(D) None of these
39. From a point (sin?, cos?), if three normals can be drawn to the paraboda y2 ? 4ax, then the value of a is
(A) (1/2, 1)
(B) [?1/ 2, 0]
(C) [1/ 2, 0]
(D) (?1/ 2, 0) U(0, 1/ 2)
40. The locus of the center of a circle which cuts orthogonally the parabola y2 ? 4x at (1, 2) will pass through
(A) (3, 4)
(B) (4, 3)
(C) (5, 3)
(D) (2, 4)