cmeraki/elemento huggingface dataset:
Subject: mathematics
Question: A particle P starts from the point z₀ = 1 + 2i, where i = √-1. It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point z₁. From z₁ the particle moves √2 units in the direction of the vector i + j and then it moves through an angle π/2 in anticlockwise direction on a circle with centre at origin, to reach a point z₂. The point z₂ is given by
Choices: (A) 6 + 7i, (B) -7 + 6i, (C) 7 + 6i, (D) -6 + 7i
Answer: D
Subject: mathematics
Question: Let the function g : (-∞, ∞) → (π/2, π/2) be given by g(u) = 2tan⁻¹(eᵘ) - π/2. Then, g is
Choices: (A) even and is strictly increasing in (0, ∞), (B) odd and is strictly decreasing in (-∞, ∞), (C) odd and is strictly increasing in (-∞, ∞), (D) neither even nor odd, but is strictly increasing in (-∞, ∞)
Answer: C
Subject: mathematics
Question: Consider a branch of the hyperbola x² - 2y² - 2√2x - 4√2y - 6 = 0 with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is
Choices: (A) 1 - 2/√3, (B) √(3/2) - 1, (C) 1 + 2/√3, (D) 3/√2 + 1
Answer: B
Subject: mathematics
Question: The area of the region between the curves y = √(1+sinx/cosx) and y = √(1-sinx/cosx) bounded by the lines x = 0 and x = π/4 is
Choices: (A) ∫₀^(π/2√1+t²)dt/(1+t²√1-t²), (B) ∫₀^(π/2√1-t²)4t/(1+t²√1-t²) dt, (C) ∫₀^(π/4√1+t²)4t/(1+t²√1-t²) dt, (D) ∫₀^(π/1√1-t²)t/(1+t²√1-t²) dt
Answer: B
Subject: mathematics
Question: Consider three points P = (- sin(β - α), - cos β), Q = (cos(β - α), sin β) and R = (cos(β - α + θ), sin(β - θ)), where 0 < α , β , θ < π/4. Then,
Choices: (A) P lies on the line segment RQ
(B) Q lies on the line segment PR
(C) R lies on the line segment QP
(D) P, Q, R are non-collinear
Answer: D
Subject: mathematics
Question: An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is
Choices: (A) 2, 4 or 8	(B) 3, 6 or 9	(C) 4 or 8	(D) 5 or 10
Answer: D
Subject: mathematics
Question: Let two non-collinear unit vectors â and b̂ form an acute angle. A point P moves so that at any time t the position vector OP⃗  (where O is the origin) is given by â cost + b̂ sin t. When P is farthest from origin O , let M be the length of OP⃗  and û be the unit vector along OP⃗ . Then,
Choices: (A) û = (â + b̂) / |â + b̂| and M = (1 + â . b̂)^(1/2)	(B) û = (â - b̂) / |â - b̂| and M = (1 + â . b̂)^(1/2)
(C) û = (â + b̂) / |â + b̂| and M = (1 + 2â . b̂)^(1/2)	(D) û = (â - b̂) / |â - b̂| and M = (1 + 2â . b̂)^(1/2)
Answer: A
Subject: mathematics
Question: Let I = ∫(e^x / e^4x + e^2x + 1) dx, J = ∫(e^-x / e^-4x + e^-2x + 1) dx. Then, for an arbitrary constant C, the value of J - I equals
Choices: (A) (1/2) log[((e^4x - e^2x + 1) / (e^4x + e^2x + 1))] + C	(B) (1/2) log[((e^2x + e^x + 1) / (e^2x - e^x + 1))] + C
(C) (1/2) log[((e^2x - e^x + 1) / (e^2x + e^x + 1))] + C	(D) (1/2) log[((e^4x + e^2x + 1) / (e^4x - e^2x + 1))] + C
Answer: C
Subject: mathematics
Question: Let g(x) = log f(x) where f(x) is a twice differentiable positive function on (0, ∞) such that f(x + 1) = x f(x). Then, for N = 1, 2, 3,..., g'(N + 1/2) - g'(1/2) =
Choices: (A) -4{1 + 1/9 + 1/25 + ... + 1/(2N - 1)^2}, (B) 4{1 + 1/9 + 1/25 + ... + 1/(2N - 1)^2}, (C) -4{1 + 1/9 + 1/25 + ... + 1/(2N + 1)^2}, (D) 4{1 + 1/9 + 1/25 + ... + 1/(2N + 1)^2}
Answer: (A)
Subject: mathematics
Question: Suppose four distinct positive numbers a1, a2, a3, a4 are in G.P. Let b1 = a1, b2 = b1 + a2, b3 = b2 + a3 and b4 = b3 + a4. STATEMENT-1 : The numbers b1, b2, b3, b4 are neither in A.P. nor in G.P. and STATEMENT-2 : The numbers b1, b2, b3, b4 are in H.P.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1, (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1, (C) STATEMENT-1 is True, STATEMENT-2 is False, (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: (C)
Subject: mathematics
Question: Let a, b, c, p, q be real numbers. Suppose α, β are the roots of the equation x^2 + 2px + q = 0 and α, 1/β are the roots of the equation ax^2 + 2bx + c = 0, where β^2 ∈ {-1, 0, 1}. STATEMENT-1 : (p^2 - q)(b^2 - ac) ≥ 0 and STATEMENT-2 : b ≠ pa or c ≠ qa
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1, (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1, (C) STATEMENT-1 is True, STATEMENT-2 is False, (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: (B)
Subject: mathematics
Question: Consider L1 : 2x + 3y + p - 3 = 0, L2 : 2x + 3y + p + 3 = 0, where p is a real number, and C : x^2 + y^2 + 6x - 10y + 30 = 0. STATEMENT-1 : If line L1 is a chord of circle C, then line L2 is not always a diameter of circle C. and STATEMENT-2 : If line L1 is a diameter of circle C, then line L2 is not a chord of circle C.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1, (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1, (C) STATEMENT-1 is True, STATEMENT-2 is False, (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: C
Subject: mathematics
Question: Let a solution y = y(x) of the differential equation x√(x^2 - 1) dy - y√(y^2 - 1) dx = 0 satisfy y(2) = 2/√3. STATEMENT-1 : y(x) = sec(sec^-1 x - π/6) and STATEMENT-2 : y(x) is given by 1/(2√3 - √(1 - x^2))
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1, (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1, (C) STATEMENT-1 is True, STATEMENT-2 is False, (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: C
Subject: mathematics
Question: Which of the following is true?
Choices: (A) (2 + a)^2 f''(1) + (2 - a)^2 f''(-1) = 0 (B) (2 - a)^2 f''(1) - (2 + a)^2 f''(-1) = 0 (C) f'(1) f'(-1) = (2 - a)^2 (D) f'(1) f'(-1) = -(2 + a)^2
Answer: A
Subject: mathematics
Question: Which of the following is true?
Choices: (A) f(x) is decreasing on (-1, 1) and has a local minimum at x = 1 (B) f(x) is increasing on (-1, 1) and has a local maximum at x = 1 (C) f(x) is increasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1 (D) f(x) is decreasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1
Answer: A
Subject: mathematics
Question: Let g(x) = ∫(0 to x) f'(t) / (1 + t^2) dt. Which of the following is true?
Choices: (A) g'(x) is positive on (- ∞, 0) and negative on (0, ∞) (B) g'(x) is negative on (- ∞, 0) and positive on (0, ∞) (C) g'(x) changes sign on both (- ∞, 0) and (0, ∞) (D) g'(x) does not change sign on (- ∞, ∞)
Answer: B
Subject: mathematics
Question: Consider the lines given by L1 : x + 3y - 5 = 0 L2 : 3x - ky - 1 = 0 L3 : 5x + 2y - 12 = 0 Match the Statements / Expressions in Column I with the Statements / Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 x 4 matrix given in the ORS.
Choices: (A) L1, L2, L3 are concurrent, if (B) One of L1, L2, L3 is parallel to at least one of the other two, if (C) L1, L2, L3 form a triangle, if (D) L1, L2, L3 do not form a triangle, if (p) k = -9 (q) k = - 6/5 (r) k = 5/6 (s) k = 5
Answer: p:O, q:O, r:O, s:*, A:O, B:*, C:O, D:*
Subject: mathematics
Question: Match the Statements / Expressions in Column I with the Statements / Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 x 4 matrix given in the ORS.
Choices: (A) The minimum value of x^2 + 2x + 4/x + 2 is (B) Let A and B be 3 x 3 matrices of real numbers, where A is symmetric, B is skew-symmetric, and (A + B) (A - B) = (A - B) (A + B). If (AB)' = (-1)^k AB, where (AB)' is the transpose of the matrix AB, then the possible values of k are (C) Let a = log₃ 2, log₂ 2. An integer k satisfying 1 < 2^(-k + 3 - a) < 2, must be less than (D) If sin θ = cos φ, then the possible values of 1/π (θ + φ - π/2) are (p) 0 (q) 1 (r) 2 (s) 3
Answer: p:O, q:*, r:*, s:O, A:O, B:O, C:*, D:*
Subject: mathematics
Question: Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements / Expressions in Column I with the Statements / Expressions in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.
Choices: Column I: (A) The number of permutations containing the word ENDEA is, (B) The number of permutations in which the letter E occurs in the first and the last positions is, (C) The number of permutations in which none of the letters D, L, N occurs in the last five positions is, (D) The number of permutations in which the letters A, E, O occur only in odd positions is
Column II: (p) 5!, (q) 2 × 5!, (r) 7 × 5!, (s) 21 × 5!
Answer: A: p, B: s, C: r, D: q
Subject: physics
Question: Consider a system of three charges q, q and 2q/3 placed at points A, B and C, respectively, as shown in the figure. Take O to be the centre of the circle of radius R and angle CAB = 60°

Figure:

(A) The electric field at point O is q/8πε₀R² directed along the negative x-axis
(B) The potential energy of the system is zero
(C) The magnitude of the force between the charges at C and B is q²/54πε₀R²
(D) The potential at point O is q/12πε₀R
Choices: (A), (B), (C), (D)
Answer: (C)
Subject: physics
Question: A radioactive sample S1 having an activity of 5 μCi has twice the number of nuclei as another sample S2 which has an activity of 10 μCi. The half lives of S1 and S2 can be
Choices: (A) 20 years and 5 years, respectively
(B) 20 years and 10 years, respectively
(C) 10 years each
(D) 5 years each
Answer: A
Subject: physics
Question: A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
Choices: (A) √(3π÷50) m/s
(B) -√(3π÷50) m/s
(C) √(3π÷50) m/s
(D) -√(3π÷50) m/s
Answer: A
Subject: physics
Question: A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4 k, respectively (see figure 1). The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is
Choices: A) 4, B) 2, C) 1/2, D) 1/4
Answer: C
Subject: physics
Question: A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies
Choices: A) θ = π/4, B) π/4 < θ < π/2, C) π/2 < θ < 3π/4, D) 3π/4 < θ < π
Answer: D
Subject: physics
Question: A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,
Choices: (A) air from end 1 flows towards end 2. No change in the volume of the soap bubbles
(B) air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases
(C) no change occurs
(D) air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases
Answer: B
Subject: physics
Question: A vibrating string of certain length ℓ under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension of the string is slightly increased the number of beats reduces to 2 per second. Assuming the velocity of sound in air to be 340 m/s, the frequency n of the tuning fork in Hz is
Choices: (A) 344	(B) 336	(C) 117.3	(D) 109.3
Answer: A
Subject: physics
Question: A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2. The level of liquid is d/3 initially. Suppose the liquid level decreases at a constant speed V, the time constant as a function of time t is
Choices: (A) 6εoR / 5d+3Vt, (B) (15d+9Vt)εoR / 2d^2-3dVt-9V^2t^2, (C) 6εoR / 5d-3Vt, (D) (15d-9Vt)εoR / 2d^2+3dVt-9V^2t^2
Answer: A
Subject: physics
Question: A light beam is traveling from Region I to Region IV (Refer Figure). The refractive index in Regions I, II, III and IV are no, no/2, no/6 and no/8, respectively. The angle of incidence θ for which the beam just misses entering Region IV is
Choices: (A) sin^-1(3/4), (B) sin^-1(1/5), (C) sin^-1(1/4), (D) sin^-1(1/3)
Answer: B
Subject: physics
Question: STATEMENT-1
For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.
and
STATEMENT-2
If the observer and the object are moving at velocities V1 and V2 respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is V2 - V1.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(C) STATEMENT-1 is True, STATEMENT-2 is False
(D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: B
Subject: physics
Question: STATEMENT-1
It is easier to pull a heavy object than to push it on a level ground.
and
STATEMENT-2
The magnitude of frictional force depends on the nature of the two surfaces in contact.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(C) STATEMENT-1 is True, STATEMENT-2 is False
(D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: B
Subject: physics
Question: STATEMENT-1

For practical purposes, the earth is used as a reference at zero potential in electrical circuits.

and

STATEMENT-2

The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given by Q/4πε0R.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(C) STATEMENT-1 is True, STATEMENT-2 is False
(D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: A
Subject: physics
Question: STATEMENT-1

The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil.

and

STATEMENT-2

Soft iron has a high magnetic permeability and cannot be easily magnetized or demagnetized.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(C) STATEMENT-1 is True, STATEMENT-2 is False
(D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: C
Subject: physics
Question: Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4x4 matrix given in the ORS.
Choices: A) Potential energy of a simple pendulum (y axis) as a function of displacement (x axis), B) Displacement (y axis) as a function of time (x axis) for a one dimensional motion at zero or constant acceleration when the body is moving along the positive x-direction, C) Range of a projectile (y axis) as a function of its velocity (x axis) when projected at a fixed angle, D) The square of the time period (y axis) of a simple pendulum as a function of its length (x axis)
Answer: B, C, D
Subject: physics
Question: An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images from Column II with the appropriate components given in Column I. Indicate your answer by darkening the appropriate bubbles of the 4 x 4 matrix given in the ORS.
Choices: A, B, C, D. Matrix response with options p, q, r, s
Answer: p, q, r, s
Subject: chemistry
Question: In the following reaction sequence, the correct structures of E, F and G are
Choices: (A) E = Ph* CH3, F = Ph* O Na, G = CH3; (B) E = Ph* CH3, F = Ph* ONa, G = CH3; (C) E = Ph* CH3, F = Ph* O Na, G = CH3; (D) E = Ph* CH3, F = Ph* ONa, G = CH3I
Answer: C
Subject: chemistry
Question: The IUPAC name of [Ni(NH3)4] [NiCl4] is
Choices: (A) Tetrachloronickel (II) - tetraammineniickel (II), (B) Tetraammineniickel (II) - tetrachloronickel (II), (C) Tetraammineniickel (II) - tetrachloronickelate (II), (D) Tetrachloronickel (II) - tetraammineniickelate (I)
Answer: C
Subject: chemistry
Question: Electrolysis of dilute aqueous NaCl solution was carried out by passing 10 milli ampere current. The time required to liberate 0.01 mol of H2 gas at the cathode is (1 Faraday = 96500 C mol^-1)
Choices: (A) 9.65 × 10^4 sec, (B) 19.3 × 10^4 sec, (C) 28.95 × 10^4 sec, (D) 38.6 × 10^4 sec
Answer: B
Subject: chemistry
Question: Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient conditions is
Choices: (A) CH3(CH2)15 N^+(CH3)3 Br^-, (B) CH3(CH2)11 OSO3^- Na^+, (C) CH3(CH2)9 COO^- Na^+, (D) CH3(CH2)11 N^+(CH3)3 Br^-
Answer: A
Subject: chemistry
Question: Solubility product constants (Ksp) of salts of types MX, MX2 and M3X at temperature 'T' are 4.0 x 10^-8, 3.2 x 10^-14 and 2.7 x 10^-16, respectively. Solubilities (mol dm^-3) of the salts at temperature 'T' are in the order
Choices: (A) MX > MX2 > M3X, (B) M3X > MX2 > MX, (C) MX2 > M3X > MX, (D) MX > M3X > MX2
Answer: D
Subject: chemistry
Question: STATEMENT-1 : Aniline on reaction with NaNO2/HCl at 0 °C followed by coupling with β-napththol gives a dark blue coloured precipitate. and STATEMENT-2 : The colour of the compound formed in the reaction of aniline with NaNO2/HCl at 0 °C followed by coupling with β-napththol is due to the extended conjugation.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT-1 is True, STATEMENT-2 is False (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: D
Subject: chemistry
Question: STATEMENT-1 : [Fe(H2O)6NO]SO4 is paramagnetic. and STATEMENT-2 : The Fe in [Fe(H2O)6 NO]SO4 has three unpaired electrons.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT-1 is True, STATEMENT-2 is False (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: A
Subject: chemistry
Question: STATEMENT-1 : The geometrical isomers of the complex [M(NH3)4Cl2] are optically inactive. and STATEMENT-2 : Both geometrical isomers of the complex [M(NH3)4Cl2] possess axis of symmetry.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT-1 is True, STATEMENT-2 is False (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: B
Subject: physics
Question: STATEMENT-1 : There is a natural asymmetry between converting work to heat and converting heat to work. and STATEMENT-2 : No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.
Choices: (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1, (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1, (C) STATEMENT-1 is True, STATEMENT-2 is False, (D) STATEMENT-1 is False, STATEMENT-2 is True
Answer: (A)
Subject: chemistry
Question: The structures of compounds J, K and L, respectively, are
Choices: (A) PhCOCH3, PhCH2COCH3 and PhCH2COO-K+, (B) PhCHO, PhCH2CHO and PhCOO-K+, (C) PhCOCH3, PhCH2CHO and CH3COO-K+, (D) PhCHO, PhCOCH3 and PhCOO-K+
Answer: D
Subject: chemistry
Question: Match the compounds in Column I with their characteristic test(s)/reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 x 4 matrix given in the ORS.
Choices: A, B, C, D - Matrix Response
Answer: B: C, D; C: A, B, C; D: A, B, D OR A: B, C; B: A, B; C: A, B, C; D: A
Subject: chemistry
Question: Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 x 4 matrix given in the ORS
Choices: (A) PbS -> PbO, (B) CaCO3 -> CaO, (C) ZnS -> Zn, (D) Cu2S -> Cu, (p) roasting, (q) calcination, (r) carbon reduction, (s) self reduction
Answer: A:p, B:q, C:r,s, D:s
Subject: physics
Question: Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 x 4 matrix given in the ORS
Choices: (A) Orbital angular momentum of the electron in a hydrogen-like atomic orbital, (B) A hydrogen-like one-electron wave function obeying Pauli principle, (C) Shape, size and orientation of hydrogen-like atomic orbitals, (D) Probability density of electron at the nucleus in hydrogen-like atom, (p) Principal quantum number, (q) Azimuthal quantum number, (r) Magnetic quantum number, (s) Electron spin quantum number
Answer: A:q,r, B:p,q,r,s, C:p,q,r, D:p,s