Question Paper Name: 232 COMPUTATIONAL AND INTEGRATIVE SCIENCES Track 1 29th May 2019 Shift 1 Set 1
Subject Name: COMPUTATIONAL AND INTEGRATIVE SCIENCES Track 1
Creation Date: 2019-05-29 14:10:41
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Duration: 180
Total Marks: 100
Display Marks: Yes
Share Answer Key With Delivery Engine: Yes
Actual Answer Key: Yes
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COMPUTATIONAL AND INTEGRATIVE SCIENCES Track 1
Group Number: 1
Group Id: 128206181
Group Maximum Duration: 0
Group Minimum Duration: 120
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Revisit allowed for view?: No
Revisit allowed for edit?: No
Break time: 0
Group Marks: 100
Part A
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Section Id: 128206329
Section Number: 1
Section type: Online
Mandatory or Optional: Mandatory
Number of Questions: 15
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Number of Questions to be attempted: 15
Section Marks: 30
Display Number Panel: Yes
Group All Questions: No
Sub-Section Number: 1
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Sub-Section Id: 128206482
Question Shuffling Allowed: Yes
Question Number: 1 Question Id: 12820610559 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the surface of the planet would be
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(a) 1.1 kms-1
(b) 11 kms-1
(c) 110 kms-1
(d) 0.11 kms-1
Options:
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12820641739. A
12820641740. B
12820641741. C
12820641742. D
Question Number: 2 Question Id: 12820610560 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
Consider a uniform square plate of side 'a' and mass 'm'. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
(a) 4/6 ma2
(b) 3/4 ma2
(c) 2/3 ma2
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(d) 1/5 ma2
Options:
12820641743. A
12820641744. B
12820641745. C
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12820641746. D
Question Number: 3 Question Id: 12820610561 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms-1. The magnitude of its momentum is recorded as
(a) 17.6 kg ms-1
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(b) 17.565 kg ms-1
(c) 17.56 kg ms-1
(d) 17.57 kg ms-1
Options:
12820641747. A
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12820641748. B
12820641749. C
12820641750. D
Question Number: 4 Question Id: 12820610562 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
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A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and they move together as a single body. The energy loss during the collision is
(a) 0.16 J
(b) 1.00 J
(c) 0.67 J
(d) 0.34 J
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Options:
12820641751. A
12820641752. B
12820641753. C
12820641754. D
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Question Number: 5 Question Id: 12820610563 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distance are measured by
(a) a vernier scale provided on the microscope
(b) a standard laboratory scale
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(c) a meter scale provided on the microscope
(d) a screw gauge provided on the microscope
Options:
12820641755. A
12820641756. B
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12820641757. C
12820641758. D
Question Number: 6 Question Id: 12820610564 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Write the dimension of energy in [MLT] system.
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(a) [ML1T2]
(b) [ML2T-2]
(c) [MT2]
(d) [MLT2]
Options:
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12820641759. A
12820641760. B
12820641761. C
12820641762. D
Question Number: 7 Question Id: 12820610565 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
Calculate the molarity of a solution containing 5 g of NaOH in 450 mL solution.
(a) 0.177
(b) 0.017
(c) 0.028
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(d) 0.278
Options:
12820641763. A
12820641764. B
12820641765. C
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12820641766. D
Question Number: 8 Question Id: 12820610566 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
What are the units for rate constant in second order reactions?
(a) mol L-1 s-1
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(b) mol-1 L1 s-1
(c) mol-1 L s-1
(d) mol-2 L1 s-1
Options:
12820641767. A
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12820641768. B
12820641769. C
12820641770. D
Question Number: 9 Question Id: 12820610567 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
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Which of the following changes involve oxidation?
(a) The conversion of Cl2 to NaCl
(b) The conversion of H2S to S
(c) The conversion of ZnSO4 to Zn
(d) conversion of HCl to H2
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Options:
12820641771. A
12820641772. B
12820641773. C
12820641774. D
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Question Number: 10 Question Id: 12820610568 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Which of the following has highest second ionization enthalpy?
a) O
b) F
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c) Mg
d) Be
Options:
12820641776
12820641777. C
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12820641778. D
Question Number: 11 Question Id: 12820610569 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
If x = logt and y=t2-1, then the value of y" at t =-2 is:
A. 4
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B. -16
C. 16
D. -4
Options:
12820641779. A
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12820641780. B
12820641781. C
12820641782. D
Question Number: 12 Question Id: 12820610570 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
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The number of ways in which 7 distinct toys can be distributed among 3 children is:
a. 7P3
b. 7C3
c. 73
d. 37
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Options:
12820641783. A
12820641784. B
12820641785. C
12820641786. D
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Question Number: 13 Question Id: 12820610571 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
The coefficient of x5 in the expansion of (1+x2)(1+x)4 is:
a. 50
b. -60
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c. 60
d. -50
Options:
12820641787. A
12820641788. B
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12820641789. C
12820641790. D
Question Number: 14 Question Id: 12820610572 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is:
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a. 24/25
b. 1/25
c. 2/25
d. 1/5
Options:
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12820641791. A
12820641792. B
12820641793. C
12820641794. D
Question Number: 15 Question Id: 12820610573 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
The image of the point (3,8) in the line x + 3y = 7 is:
A. (1,4)
B. (1,-4)
C. (-1,4)
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D. (-1, -4)
Options:
12820641795. A
12820641796. B
12820641797. C
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12820641798. D
Part B Section I (Physics)
Section Id: 128206300
Section Number: 2
Section type: Online
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Mandatory or Optional: Optional
Number of Questions: 35
Number of Questions to be attempted: 35
Section Marks: 70
Display Number Panel: Yes
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Group All Questions: No
Sub-Section Number: 1
Sub-Section Id: 128206483
Question Shuffling Allowed: Yes
Question Number: 16 Question Id: 12820610574 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
A current I is flowing through the sides of an equilateral triangle of side a. The magnitude of the magnetic field at the centroid of the triangle is
(a) 9µ0I/2pa
(b) µ0I/pa
(c) 3µ0I/2pa
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(d) 3µ0I/pa
Options:
12820641799. A
12820641800. B
12820641801. C
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12820641802. D
Question Number: 17 Question Id: 12820610575 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Two boxes A and B contain an equal number of molecules of the same gas. If the volumes are VA and VB, and ?A and ?B denote respective mean free paths, then
(a) ?A = ?B
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(b) ?A/VA = ?B /VB
(C) ?A/VA1/3 = ?B /VB1/3
(d) ?AVA=?BVB
Options:
12820641803. A
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12820641804. B
12820641805. C
12820641806. D
Question Number: 18 Question Id: 12820610576 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
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Let Tg and Te be the kinetic energies of the electron in the ground and the third excited states of a hydrogen atom, respectively. According to the Bohr model, the ratio Tg/Teis
(a) 3
(b) 4
(c) 9
(d) 16
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Options:
Question Number: 19 Question Id: 12820610577 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
The plane of polarisation of a plane polarized light rotates by 60° after passing through a wave plate. The pass-axis of the wave plate is at an angle a with respect to the plane of polarisation of the incident light. The wave plate and a are
(a) ?/4, 60°
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(b) ?/2, 30°
(c) ?/2, 120°
(d) ?/4, 30°
Options:
12820641811. A
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12820641812. B
12820641813. C
12820641814. D
Question Number: 20 Question Id: 12820610578 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
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An ideal gas consists of three dimensional polyatomic molecules. The temperature is such that only one vibrational mode is excited. If R denotes the gas constant, then the specific heat at constant volume of one mole of the gas at this temperature is
(a) 3R
(b) 7/2R
(c) 4R
(d) 9/2R
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Options:
12820641815. A
12820641816. B
12820641817. C
12820641818. D
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Question Number: 21 Question Id: 12820610579 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
A raindrop falls under gravity and captures water molecules from atmosphere. Its mass changes at the rate ?m(t), where ? is a constant and m(t) is the mass. Assume that acceleration due to gravity is constant and water molecules are at rest with respect to earth before capture. Which of the following statements is correct?
(a) The speed of the raindrop increases linearly with time.
(b) The speed of the raindrop increases exponentially with time.
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(c) The speed of the raindrop approaches a constant value when ?t>>1.
(d) The speed of the raindrop approaches a constant value when ?t<< 1.
Options:
12820641819. A
12820641820. B
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12820641821. C
12820641822. D
Question Number: 22 Question Id: 12820610580 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Let the electric field in some region R be given by E = e-y2î + e-x2j. From this we may conclude that
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(a) R has a non-uniform charge distribution.
(b) R has no charge distribution.
(c) R has a time dependent magnetic field.
(d) The energy flux in R is zero everywhere.
Options:
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12820641823. A
12820641824. B
12820641825. C
12820641826. D
Question Number: 23 Question Id: 12820610581 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
Which of the combinations of crystal structure and their coordination number is (are) correct?
(a) body centered cubic - 8
(b) diamond - 4
(c) hexagonal closed packed - 12
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(d) all of the above
Options:
Question Number: 24 Question Id: 12820610582 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Consider a convex lens of focal length f. A point object moves towards the lens along its axis between 2f and f. If the speed of the object is Vo, then its image would move with speed VI. Which of the following is correct?
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(a) VI = Vo; the image moves away from the lens.
(b) VI=-Vo; the image moves towards the lens.
(c) VI>Vo; the image moves away from the lens.
(d) VI
Options:
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12820641831. A
12820641832. B
12820641833. C
12820641834. D
Question Number: 25 Question Id: 12820610583 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
The function f(x) = { x, -p < x < 0 { -x, 0 < x < p is expanded as a Fourier series of the form ao + ?n=18 (an cos(npx/L) + bn sin(npx/L))
Which of the following is true?
(a) ao?0, bn=0
(b) ao ? 0, bn ? 0
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(c) ao = 0, bn=0
(d) ao = 0, bn ? 0
Options:
12820641835. A
12820641836. B
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12820641837. C
12820641838. D
Question Number: 26 Question Id: 12820610584 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
Three planets in circular orbits around a star at distances a, 4a and 9a, respectively. At time t= to, the star and the three planets are in a straight line. If the period of revolution of the closest planet is T. How long after to will they again be in the same straight line?
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(a) 8T
(b) 27T
(c) 216T
(d) 512T
Options:
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12820641839. A
12820641840. B
12820641841. C
12820641842. D
Question Number: 27 Question Id: 12820610585 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
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Correct Marks: 2 Wrong Marks: 0
For the given set of equations:
x+y=1
y+z=1
x + z = 1,
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Which one of the following statements is correct?
(a) Equations are inconsistent.
(b) Equations are consistent and a single non-trivial solution exists.
(c) Equations are consistent and many solutions exist.
(d) Equations are consistent and only a trivial solution exists.
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Options:
12820641843. A
12820641844. B
12820641845. C
12820641846. D
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Question Number: 28 Question Id: 12820610586 Question Type: MCQ Option Shuffling: No Display Question Number: Yes Single Line Question Option: No Option Orientation: Vertical
Correct Marks: 2 Wrong Marks: 0
If a particle travelling between two points takes a path for which
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