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The probability that X ≥3 equals

(A) 125/216 (B) 25/36 (C) 5/36 (D) 25/216

B

no

mathematics

The conditional probability that X ≥6 given X ≥3 equals

(A) 125/216 (B) 25/216 (C) 5/36 (D) 25/36

D

no

mathematics

Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q1, Q2, Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1 : Q2 : Q3, is

A) 1 : 2 : 3 , (B) 1 : 3 : 5 , (C) 1 : 4 : 9 , (D) 1 : 8 : 18

B

no

physics

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction between them is √3. The inclination θ of this inclined plane from the horizontal plane is gradually increased from 0°. Then

(A) at θ = 30°, the block will start sliding down the plane (B) the block will remain at rest on the plane up to certain θ and then it will topple (C) at θ = 60°, the block will start sliding down the plane and continue to do so at higher angles (D) at θ = 60°, the block will start sliding down the plane and on further increasing θ, it will topple at certain θ

B

no

physics

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m above the water surface, the fish sees the speed of ball as

(A) 9 m/s , (B) 12 m/s , (C) 16 m/s , (D) 21.33 m/s

C

no

physics

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. The mass of the ink used to draw the outer circle is 5m. The coordinates of the centres of the different parts are: outer circle (0, 0), left inner circle (-a, a), right inner circle (a, a), vertical line (0, 0) and horizontal line (0, -a). The y-coordinate of the centre of mass of the ink in this drawing is

(A) a/10 , (B) a/8 , (C) a/12 , (D) a/3

A

yes

physics

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A?

(A) 4, (B) 3, (C) 2, (D) 1

C

yes

physics

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. If and Ia are the currents in the segments ab and cd. Then,

(A) I1 > I2, (B) I1 < I2, (C) Ia is in the direction ba and Ic is in the direction cd, (D) I1 is in the direction ab and I2 is in the direction dc

D

yes

physics

A disk of radius a/4 having a uniformly distributed charge 6 C is placed in the x-y plane with its centre at (-a/2, 0, 0). A rod of length a carrying a uniformly distributed charge 8 C is placed on the x-axis from x = a/4 to x = 5a/4. Two point charges –7 C and 3 C are placed at (a/4, -a/4, 0) and (-5a/4, 3a/4, 0), respectively. Consider a cubical surface formed by six surfaces x = +a/2, y = +a/2, z = +a/2. The electric flux through this cubical surface is

(A) -2 C/ε0, (B) 2 C/ε0, (C) 10 C/ε0, (D) 12 C/ε0

A

yes

physics

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4/3 s is

(A) √3 π2 cm/s2 / 32, (B) – π2 cm/s2 / 32, (C) π2 cm/s2 / 32, (D) √5 π2 cm/s2 / 32

D

yes

physics

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that

(A) linear momentum of the system does not change in time, (B) kinetic energy of the system does not change in time, (C) angular momentum of the system does not change in time, (D) potential energy of the system does not change in time

A

no

physics

A student performed the experiment of determination of focal length of a concave mirror by u-v method using an optical bench of length 1.5 meter. The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm. The 5 sets of (u, v) values recorded by the student (in cm) are: (42, 56), (48, 48), (60, 40), (66, 33), (73, 39). The data set(s) that cannot come from experiment and is (are) incorrectly recorded, is (are)

(A) (42, 56), (B) (48, 48), (C) (66, 33), (D) (73, 39)

CD

no

physics

For the circuit shown in the figure

(A) the current I through the battery is 7.5 mA, (B) the potential difference across R1 is 18 V, (C) ratio of powers dissipated in R1 and R2 is 3, (D) if R1 and R2 are interchanged, magnitude of the power dissipated in R2 will decrease by a factor of 9

D

yes

physics

Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

(A) Cp - Cv is larger for a diatomic ideal gas than for a monatomic ideal gas, (B) Cp + Cv is larger for a diatomic ideal gas than for a monatomic ideal gas, (C) Cp/Cv is larger for a diatomic ideal gas than for a monatomic ideal gas, (D) Cp · Cv is larger for a diatomic ideal gas than for a monatomic ideal gas

B

no

chemistry

In the core of nuclear fusion reactor, the gas becomes plasma because of

(A) strong nuclear force acting between the deuterons (B) Coulomb force acting between the deuterons (C) Coulomb force acting between deuteron-electron pairs (D) the high temperature maintained inside the reactor core

D

no

physics

Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with kinetic energy 1.5 eT, when the separation between them is large enough to neglect Coulomb potential energy. Also neglect any interaction from other particles in the core. The minimum temperature T required for them to reach a separation of 4 × 10^(-14) m is in the range

(A) 1.0×10^9 K ≤ T < 2.0×10^9 K (B) 2.0×10^9 K ≤ T < 3.0×10^9 K (C) 3.0×10^9 K ≤ T < 4.0×10^9 K (D) 4.0×10^9 K ≤ T < 5.0×10^9 K

A

no

physics

Results of calculations for four different designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on Lawson criterion?

(A) deuteron density = 2.0×10^(14) cm^(-3), confinement time = 5.0×10^(-8) s (B) deuteron density = 8.0×10^(14) cm^(-3), confinement time = 9.0×10^(-8) s (C) deuteron density = 4.0×10^(13) cm^(-3), confinement time = 1.0×10^(-11) s (D) deuteron density = 1.0×10^(21) cm^(-3), confinement time = 4.0×10^(-12) s

B

no

physics

The allowed energy for the particle for a particular value of n is proportional to

(A) n^4 (B) n^(1/2) (C) n^(-1) (D) n^2

A

no

mathematics

If the mass of the particle is m = 1.0 x 10^-30 kg and a = 6.6 nm, the energy of the particle in its ground state is closest to

(A) 0.8 meV, (B) 8 meV, (C) 80 meV, (D) 800 meV

B

no

physics

The speed of the particle, that can take discrete values, is proportional to

(A) n^-1/2, (B) n^-1, (C) n^1/2, (D) n

D

no

physics

Matrix - Match Type

p-q, r-s, t

yes

mathematics

Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown. Let E be the electric field and V be the electric potential at M (potential at infinity is zero) due to the given charge distribution when it is at rest. Now, the whole system is set into rotation with a constant angular velocity about the line PQ. Let B be the magnetic field at M and μ be the magnetic moment of the system in this condition. Assume each rotating charge to be equivalent to a steady current.

Column I: (A) E = 0, (B) V ≠ 0, (C) B = 0, (D) μ ≠ 0

p q r s t

yes

physics

Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II.

A) The force exerted by X on Y has a magnitude Mg. B) The gravitational potential energy of X is continuously increasing. C) Mechanical energy of the system X + Y is continuously decreasing. D) The torque of the weight of Y about point P is zero.

p q r s t

yes

physics

For a first order reaction A→P, the temperature (T) dependent rate constant (k) was found to follow the equation log k = -(2000)/T + 6.0. The pre-exponential factor A and the activation energy Ea, respectively, are

(A) 1.0 × 10⁶ s⁻¹ and 9.2 kJ mol⁻¹ (B) 6.0 s⁻¹ and 16.6 kJ mol⁻¹ (C) 1.0 × 10⁶ s⁻¹ and 16.6 kJ mol⁻¹ (D) 1.0 × 10⁶ s⁻¹ and 38.3 kJ mol⁻¹

D

no

chemistry

The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)₆ is

(A) 0 (B) 2.84 (C) 4.90 (D) 5.92

A

no

chemistry

In the following carbocation, H₃CH₃ that is most likely to migrate to the positively charged carbon is

(A) CH₃ at C-4 (B) H at C-4 (C) CH₃ at C-2 (D) H at C-2

D

yes

chemistry

The correct stability order of the following resonance structures is

(A) (I) > (II) > (IV) > (III) (B) (I) > (III) > (II) > (IV) (C) (II) > (I) > (III) > (IV) (D) (III) > (I) > (IV) > (II)

B

yes

chemistry

For the reduction of NO3- ion in an aqueous solution, E0 is +0.96 V. Values of E0 for some metal ions are given below V2+(aq) + 2e- → V E0 = -1.19 V Fe3+(aq) + 3e- → Fe E0 = -0.04 V Au3+(aq) + 3e- → Au E0 = +1.40 V Hg2+(aq) + 2e- → Hg E0 = +0.86 V The pair(s) of metals that is(are) oxidized by NO3- in aqueous solution is(are)

(A) V and Hg (B) Hg and Fe (C) Fe and Au (D) Fe and V

AC

no

chemistry

Among the following, the state function(s) is(are)

(A) Internal energy (B) Irreversible expansion work (C) Reversible expansion work (D) Molar enthalpy

AD

no

chemistry

In the reaction 2X + B2H6 → [BH2(X)2]2+ [BH4]- the amine(s) X is(are)

(A) NH3 (B) CH3NH2 (C) (CH3)2NH (D) (CH3)3N

ABC

no

chemistry

The nitrogen oxide(s) that contain(s) N-N bond(s) is(are)

(A) N2O (B) N2O4 (C) N2O3 (D) N2O5

BC

no

chemistry

The correct statement(s) about the following sugars X and Y is(are)

(A) X is a reducing sugar and Y is a non-reducing sugar (B) X is a non-reducing sugar and Y is a reducing sugar (C) The glucosidic linkages in X and Y are α and β, respectively (D) The glucosidic linkages in X and Y are β and α, respectively

C

yes

chemistry

Match each of the reactions given in Column I with the corresponding product(s) given in Column II

Column I: (A) Cu + dil HNO3, (B) Cu + conc HNO3, (C) Zn + dil HNO3, (D) Zn + conc HNO3 Column II: (p) NO, (q) NO2, (r) N2O, (s) Cu(NO3)2, (t) Zn(NO3)2

p:q:r:s:t

no

chemistry

At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

4

no

chemistry

The dissociation constant of a substituted benzoic acid at 25°C is 1.0 × 10⁻⁴. The pH of a 0.01 M solution of its sodium salt is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

8

no

chemistry

The total number of α and β particles emitted in the nuclear reaction ²³²U → ²¹⁴Pb is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

8

no

chemistry

The oxidation number of Mn in the product of alkaline oxidative fusion of MnO₂ is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

6

no

chemistry

The number of water molecule(s) directly bonded to the metal centre in CuSO₄·5H₂O is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

5

no

chemistry

The coordination number of Al in the crystalline state of AlCl₃ is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

6

no

chemistry

The total number of cyclic structural as well as stereo isomers possible for a compound with the molecular formula C₅H₁₀ is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

7

no

chemistry

If the sum of first n terms of an A.P. is cn², then the sum of squares of these n terms is

(A) n(4n² - 1)c² / 6, (B) n(4n² + 1)c² / 3, (C) n(4n² - 1)c² / 3, (D) n(4n² + 1)c² / 6

C

no

mathematics

A line with positive direction cosines passes through the point P(2, -1,2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals

(A) 1 (B) √2 (C) √3 (D) 2

C

no

mathematics

The normal at a point P on the ellipse x^2 + 4y^2 = 16 meets the x-axis at Q. If M is the mid point of the line segment PQ, then the locus of M intersects the latus rectums of the given ellipse at the points

(A) (-3√5/2 , 2/7) (B) (3√5/2 , √19/4) (C) (-2√3, -1/7) (D) (+2√3, + 4√3/7)

C

yes

mathematics

The locus of the orthocentre of the triangle formed by the lines (1 + p)x - py + p(1 + p) = 0, (1 + q)x - qy + q(1 + q) = 0, and y = 0, where p ≠ q, is

(A) a hyperbola (B) a parabola (C) an ellipse (D) a straight line

D

no

mathematics

If In = ∫ (sin nx / (1 + x^8))sin x dx, n = 0, 1, 2, ..., then

(A) In = In-2 (B) ∑I2n+1 = 10π (C) ∑In = 0 (D) In = In+1

A,B,C

yes

mathematics

An ellipse intersects the hyperbola 2x^2 - 2y^2 - 1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then

(A) Equation of ellipse is x^2 + 2y^2 = 2 (B) The foci of ellipse are (±1, 0) (C) Equation of ellipse is x^2 - 2y^2 = 4 (D) The foci of ellipse are (±√2, 0)

A, B

no

mathematics

For the function f(x) = x cos ^1/x, x ≥ 1,

(A) for at least one x in the interval [1, ∞), f(x + 2) - f(x) < 2 (B) lim f'(x) = 1 x→∞ (C) for all x in the interval [1, ∞), f(x + 2) - f(x) > 2 (D) f'(x) is strictly decreasing in the interval [1, ∞)

B, C, D

no

mathematics

The tangent PT and the normal PN to the parabola y^2 = 4ax at a point P on it meet its axis at points T and N, respectively. The locus of the centroid of the triangle PTN is a parabola whose

(A) vertex is (2a/3, 0) (B) directrix is x = 0 (C) latus rectum is 2a/3 (D) focus is (a, 0)

A, D

no

mathematics

For 0 < θ < π/2 , the solution(s) of Σcosec⁡(θ + (m - 1)π/4)cosec⁡(θ + mπ/4) = 4√2 m = 1 5 is(are)

(A) π/4 (B) π/6 (C) π/12 (D) 5π/12

C, D

no

mathematics

Match the statements/expressions given in Column I with the values given in Column II.

A: p, B: q, C: r, D: s, AND t

A: p, q, r, s, t; B: p, q, r, s, t; C: p, q, r, s, t; D: p, q, r, s, t

yes

mathematics

Match the statements/expressions given in Column I with the values given in Column II.

A) The number of solutions of the equation x^(5/3) - cos x = 0 in the interval (0, π/2); B) Value(s) of k for which the planes kx + 4y + z = 0, 4x + ky + 2z = 0 and 2x + 2y + z = 0 intersect in a straight line; C) Value(s) of k for which |x - 1| + |x - 2| + |x + 1| + |x + 2| = 4k has integer solution(s); D) If y' = y + 1 and y(0) = 1, then value(s) of y(ln 2)

p: 1, q: 2, r: 3, s: 4, t: 5

no

mathematics

The maximum value of the function f(x) = 2x^3 - 15x^2 + 36x - 48 on the set A = {x | x^2 + 20 ≤ 9x} is

7

no

mathematics

Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x - y - z = 0, -3x + z = 0, -3x + 2y + z = 0. Then the number of such points for which x^2 + y^2 + z^2 ≤ 100 is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

7

no

mathematics

Let ABC and ABC' be two non-congruent triangles with sides AB = 4, AC = AC' = 2√2 and angle B = 30°. The absolute value of the difference between the areas of these triangles is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

4

no

mathematics

Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and lim [1 + p(x)/x^2] = 2. Then the value of p(2) is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

6

no

mathematics

Let f: R → R be a continuous function which satisfies f(x) = ∫[f(t)/t]dt. Then the value of f(ln 5) is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

4

no

mathematics

The centres of two circles C1 and C2 each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1 and C2 and C be a circle touching circles C1 and C2 externally. If a common tangent to C1 and C passing through P is also a common tangent to C2 and C, then the radius of the circle C is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

8

no

mathematics

The smallest value of k, for which both the roots of the equation x^2 - 5kx + 16 (k^2 - k + 1) = 0 are real, distinct and have values at least 4, is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

2

no

mathematics

If the function f(x) = x^4 + e^2 and g(x) = f'^-1(x), then the value of g'(1) is

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

2

no

mathematics

The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

(A) k1A/k2, (B) k2A/k1, (C) k1A/k1 + k2, (D) k2A/k1 + k2

D

yes

physics

A piece of wire is bent in the shape of a parabola y = kx^2 (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is

(A) a/gk, (B) a/2gk, (C) 2a/gk, (D) a/4gk

B

no

physics

Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions &#958;p = 2.0 eV, &#958;q = 2.5 eV and &#958;r = 3.0 eV, respectively. A light beam containing wavelengths of 550 nm, 450 nm and 350 nm with equal intensities illuminates each of the plates. The correct I-V graph for the experiment is

(A), (B), (C), (D) [Graph options]

A

yes

physics

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants k. The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle θ in one direction and released. The frequency of oscillation is

1 ⁄ √(2k ⁄ M), 1 ⁄ √(k ⁄ M), 1 ⁄ √(6k ⁄ M), 1 ⁄ √(24k ⁄ M)

C

yes

physics

Two metallic rings A and B, identical in shape and size but having different resistivities ρA and ρB, are kept on top of two identical solenoids as shown in the figure. When current I is switched on in both the solenoids in identical manner, the rings A and B jump to heights hA and hB, respectively, with hA > hB. The possible relation(s) between their resistivities and their masses mA and mB is(are)

ρA > ρB and mA = mB, ρA < ρB and mA = mB, ρA > ρB and mA > mB, ρA < ρB and mA < mB

BC

yes

physics

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,

the intensity of the sound heard at the first resonance was more than that at the second resonance, the prongs of the tuning fork were kept in a horizontal plane above the resonance tube, the amplitude of vibration of the ends of the prongs is typically around 1 cm, the length of the air-column at the first resonance was somewhat shorter than 1/4th of the wavelength of the sound in air

AD

no

physics

The figure shows the P-V plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse. Then,

(A) the process during the path A → B is isothermal (B) heat flows out of the gas during the path B → C → D (C) work done during the path A → B → C is zero (D) positive work is done by the gas in the cycle ABCDA

BD

yes

physics

Under the influence of the Coulomb field of charge +Q, a charge –q is moving around it in an elliptical orbit. Find out the correct statement(s).

(A) The angular momentum of the charge –q is constant (B) The linear momentum of the charge –q is constant (C) The angular velocity of the charge –q is constant (D) The linear speed of the charge –q is constant

A

no

physics

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then,

(A) ⃗VC - ⃗VA = 2(⃗VB - ⃗VC) (B) ⃗VC - ⃗VB = ⃗VB - ⃗VA (C) |⃗VC - ⃗VA| = 2|⃗VB - ⃗VC| (D) |⃗VC - ⃗VA| = 4|⃗VB|

BC

yes

physics

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II

A. The energy of the system is increased B. Mechanical energy is provided to the system, which is converted into energy of random motion of its parts C. Internal energy of the system is converted into its mechanical energy D. Mass of the system is decreased

A: p q r s t B: p q r s l C: p q r s l D: p q r s l

yes

physics

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S1 and S2. In each of these cases S1P1 - S2P1 = λ/4 and S1P2 - S2P2 = λ/3, where λ is the wavelength of the light used. In the cases B, C and D, a transparent sheet of refractive index μ and thickness t is pasted on slit S2. The thicknesses of the sheets are different in different cases. The phase difference between the light waves reaching a point P on the screen from the two slits is denoted by δ(P) and the intensity by I(P). Match each situation given in Column I with the statement(s) in Column II valid for that situation.

p) δ(P1) = 0, q) δ(P2) = 0, r) I(P1) = 0, s) I(P1) > I(P2), t) I(P2) > I(P1)

A: p,q,r,s,t B: p,q,r,s,t C: p,q,r,s,f D: p,q,f,s,t

yes

physics

A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ = 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is k(μ₀I / 48πx), find the value of k.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

7

no

physics

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m/s², find the work done (in Joules) by the string on the block of mass 0.36 kg during the first second after the system is released from rest.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

8

yes

physics

A solid sphere of radius R has a charge Q distributed in its volume with a charge density ρ = kr⁴, where k and a are constants and r is the distance from its centre. If the electric field at r = R/2 is 3 times that at r = R, find the value of a.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

2

no

physics

A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends. The tension in the string is 0.5 N. The string is set into vibrations using an external vibrator of frequency 100 Hz. Find the separation (in cm) between the successive nodes on the string.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

5

no

physics

The correct structure of ethylenediaminetetraacetic acid (EDTA) is

A) HOOC-CH2 | N-CH=CH-N | CH2-COOH, B) HOOC | N-CH2-CH2-N | COOH, C) HOOC-CH2 | N-CH2-CH2-N | CH2-COOH, D) HOOC-CH2 | CH2 | N-CH-CH-N | CH2-COOH

C

yes

chemistry

The ionization isomer of [Cr(H2O)4Cl(NO2)]Cl is

A) [Cr(H2O)4(O2N)]Cl2, B) [Cr(H2O)4Cl2](NO2), C) [Cr(H2O)4Cl(ONO)]Cl, D) [Cr(H2O)4Cl2(NO2)]·H2O

B

no

chemistry

The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and an alkyne. The bromoalkane and alkyne respectively are

A) BrCH2CH2CH2CH2CH3 and CH3CH2C≡CH, B) BrCH2CH2CH3 and CH3CH2CH2C≡CH, C) BrCH2CH2CH2CH2CH3 and CH3C≡CH, D) BrCH2CH2CH2CH3 and CH3CH2C≡CH

D

no

chemistry

The correct statement about the following disaccharide is

A) Ring (a) is pyranose with α-glycosidic link B) Ring (a) is furanose with α-glycosidic link C) Ring (b) is furanose with α-glycosidic link D) Ring (b) is pyranose with β-glycosidic link

A

yes

chemistry

In the reaction the products are

A) Br-OCH3 and H2 B) Br and CH3Br C) Br and CH3OH D) OH and CH3Br

D

yes

chemistry

Plots showing the variation of the rate constant (k) with temperature (T) are given below. The plot that follows Arrhenius equation is

A) K, B) k, C) k, D) k

A

yes

chemistry

The species which by definition has ZERO standard molar enthalpy of formation at 298 K is

A) Br2 (g), B) Cl2 (g), C) H2O (g), D) CH4 (g)

B

no

chemistry

The bond energy (in kcal mol^-1) of a C-C single bond is approximately

A) 1, B) 10, C) 100, D) 1000

C

no

chemistry

The reagent(s) used for softening the temporary hardness of water is(are)

A) Ca3(PO4)2 B) Ca(OH)2 C) Na2CO3 D) NaOCl

B

no

chemistry

In the reaction the intermediate(s) is(are)

A) B) C) D)

A and C

yes

chemistry

In the Newman projection for 2,2-dimethylbutane X and Y can respectively be

A) H and H B) H and C2H5 C) C2H5 and H D) CH3 and CH3

B and D

yes

chemistry

Among the following, the intensive property is (properties are)

A) molar conductivity B) electromotive force C) resistance D) heat capacity

A and B

no

chemistry

Aqueous solutions of HNO3, KOH, CH3COOH, and CH3COONa of identical concentrations are provided. The pair(s) of solutions which form a buffer upon mixing is(are)

A) HNO3 and CH3COOH, B) KOH and CH3COONa, C) HNO3 and CH3COONa, D) CH3COOH and CH3COONa

C and D

no

chemistry

Partial roasting of chalcopyrite produces

A) Cu2S and FeO, B) Cu2O and FeO, C) CuS and Fe2O3, D) Cu2O and Fe2O3

A

no

chemistry

Iron is removed from chalcopyrite as

A) FeO, B) FeS, C) Fe2O3, D) FeSiO3

D

no

chemistry

In self-reduction, the reducing species is

A) S, B) O²⁻, C) S²⁻, D) SO₂

C

no

chemistry

For the above cell

A) Ecell < 0; ΔG > 0, B) Ecell > 0; ΔG < 0, C) Ecell < 0; ΔG² > 0, D) Ecell > 0; ΔG² < 0

B

no

chemistry

If the 0.05 molar solution of M+ is replaced by a 0.0025 molar M+ solution, then the magnitude of the cell potential would be

A) 35 mV, B) 70 mV, C) 140 mV, D) 700 mV

C

no

chemistry

The total number of basic groups in the following form of lysine is

2

yes

chemistry

The total number of cyclic isomers possible for a hydrocarbon with the molecular formula C₇H₈ is

5

no

chemistry

In the product given, the stoichiometric ratio for the molecular aldol condensation reaction is

1

yes

chemistry

Amongst the following, the total number of compounds soluble in aqueous NaOH is

4

yes

chemistry

Amongst the following, the total number of compounds whose aqueous solution turns red litmus paper blue is

KCN, K₂SO₄, (NH₄)₂C₂O₄, NaCl, Zn(NO₃)₂, FeCl₃, K₂CO₃, NH₄NO₃, LiCN

3

no

chemistry

Based on VSEPR theory, the number of 90 degree F-Br-F angles in BrF₅ is

either 0 or 8

no

chemistry

The value of n in the molecular formula Be₄Al₂Si₅O₁₈ is

3

no

chemistry

A student performs a titration with different burettes and finds titre values of 25.2 mL, 25.25 mL, and 25.0 mL. The number of significant figures in the average titre value is

3

no

chemistry