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A tiny spherical oil drop carrying a net charge q is balanced in still air with a vertical uniform electric field of strength 81π/104 Vm−1. When the field is switched off, the drop is observed to fall with terminal velocity 2 × 10−3 m s−1. Given g = 9.8 m s−2, viscosity of the air = 1.8 × 10−5 Ns m−2 and the density of oil = 900 kg m−3, the magnitude of q is

A) 1.6 × 10−19 C, B) 3.2 × 10−19 C, C) 4.8 × 10−19 C, D) 8.0 × 10−19 C

D

no

physics

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of σ per unit area. It is made of two hemispherical shells, held together by pressing them with force F (see figure). F is proportional to

A) (1/ε0)*σ^2*R^2, B) (1/ε0)*σ*R, C) (1/ε0*R)*σ^2, D) (1/ε0*R^2)*σ^2

A

yes

physics

A diatomic ideal gas is compressed adiabatically to (1/32) of its initial volume. In the initial temperature of the gas is T₁ (in Kelvin) and the final temperature is αT₁, the value of α is

4

no

physics

At time t = 0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them become 4 V ?

[Take : ℓn 5 = 1.6, ℓn 3 = 1.1]

2

yes

physics

Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is observed to move from (25/3) m to (50/7) m in 30 seconds. What is the speed of the object in km per hour ?

3

no

physics

A large glass slab (μ = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What is the value of R ?

6

no

physics

To determine the half life of a radioactive element, a student plots a graph of |dN(t)/dt| versus t. Here dN(t)/dt is the rate of radioactive decay at time t. If the number of radioactive nuclei of this element decreases by a factor of p after 4.16 years, the value of p is

8

yes

physics

If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r<<R) is

A) 2πrT, B) 2πRT, C) 2π^2T/R, D) 2πR^2T/r

C

no

physics

If r = 5x10^-4 m, p = 10^3 kgm^-3, g = 10 ms^-2, T = 0.11 Nm^-1, the radius of the drop when it detaches from the dropper is approximately

A) 1.4 x 10^-3 m, B) 3.3 x 10^-3 m, C) 2.0 x 10^-3 m, D) 4.1 x 10^-3 m

A

no

physics

After the drop detaches, its surface energy is

A) 1.4 x 10^-6 J, B) 2.7 x 10^-6 J, C) 5.4 x 10^-6 J, D) 8.1 x 10^-6 J

B

no

physics

A diatomic molecule has moment of inertia I. By Bohr's quantization condition its rotational energy in the nth level (n = 0 is not allowed) is

A) 1/n^2 * (h^2 / 8π^2 I), B) 1/n * (h^2 / 8π^2 I), C) n * (h^2 / 8π^2 I), D) n^2 * (h^2 / 8π^2 I)

D

no

physics

It is found that the excitation frequency from ground to the first excited state of rotation for the CO molecule is close to 4/π×10¹¹ Hz. Then the moment of inertia of CO molecule about its center of mass is close to (Take ℏ = 2 π x 10^-34 J s)

A) 2.76×10^-46 kg m2, B) 1.87×10^-46 kg m2, C) 4.67×10^-47 kg m2, D) 1.17×10^-47 kg m2

B

no

physics

In a CO molecule, the distance between C (mass = 12 a.m.u.) and O (mass = 16 a.m.u.), where 1 a.m.u. = 5/3×10^-27 kg, is close to

A) 2.4×10^-10 m, B) 1.9×10^-10 m, C) 1.3×10^-10 m, D) 4.4×10^-11 m

C

no

chemistry

Two transparent media of refractive indices μ1 and μ3 have a solid lens shaped transparent material of refractive index μ2 between them as shown in figures in Column II. A traversing these media is also shown in the figures. In Column I different relationship between μ1, μ2 and μ3 are given. Match them to the ray diagrams shown in Column I

A) μ1 < μ2, B) μ1 > μ2, C) μ2 = μ3, D) μ2 > μ3

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

yes

physics

You are given many resistances, capacitors and inductors. These are connected to variable DC voltage source (the first two circuits) or an AC voltage source of 50 Hz frequency (the next three circuits) in different ways as shown in Column II. When a current (steady state for DC or rms for AC) flows through the circuit, the corresponding voltage V1 and V2. (indicated in circuits) are related as shown in column I. Match the two

A) I ≠ 0, V1 is proportional to I B) I ≠ 0, V2 > V1 C) V1 = 0, V2 = V D) I ≠ 0, V2 is proportional to I

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

yes

physics

Extra pure N2 can be obtained by heating

(A) NH3 with CuO, (B) NH4NO3, (C) (NH4)2Cr2O7, (D) Ba(N3)2

D

no

chemistry

Geometrical shapes of the complexes formed by the reaction of Ni2+ with Cl-, CN- and H2O, respectively, are

(A) octahedral, tetrahedral and square planar, (B) tetrahedral, square planar and octahedral, (C) square planar, tetrahedral and octahedral, (D) octahedral, square planar and octahedral

B

no

chemistry

Bombardment of aluminum by α-particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products X, Y and Z respectively are,

(A) proton, neutron, positron, (B) neutron, positron, proton, (C) proton, positron, neutron, (D) positron, proton, neutron

A

yes

chemistry

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is

(A) 1.78 M, (B) 2.00 M, (C) 2.05 M, (D) 2.22 M

C

no

chemistry

AgNO3 (aq.) was added to an aqueous KCl solution gradually and the conductivity of the solution was measured. The plot of conductance (Λ) versus the volume of AgNO3 is

(A) (P), (B) (Q), (C) (R), (D) (S)

S

yes

chemistry

Among the following compounds, the most acidic is

(A) p-nitrophenol, (B) p-hydroxybenzoic acid, (C) o-hydroxybenzoic acid, (D) p-toluic acid

C

no

chemistry

The major product of the following reaction is

(A), (B), (C), (D)

A

yes

chemistry

Extraction of metal from the ore cassiterite involves

(A) carbon reduction of an oxide ore, (B) self-reduction of a sulphide ore, (C) removal of copper impurity, (D) removal of iron impurity

AD

no

chemistry

The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)

(A) Adsorption is always exothermic. (B) Physisorption may transform into chemisorption at high temperature. (C) Physisorption increases with increasing temperature but chemisorption decreases with increasing temperature. (D) Chemisorption is more exothermic than physisorption, however it is very slow due to higher energy of activation.

ABD

no

chemistry

According to kinetic theory of gases

(A) collisions are always elastic. (B) heavier molecules transfer more momentum to the wall of the container. (C) only a small number of molecules have very high velocity. (D) between collisions, the molecules move in straight lines with constant velocities.

ACD

no

chemistry

Amongst the given options, the compound(s) in which all the atoms are in one plane in all the possible conformations (if any), is (are)

(A) H2C=C-CH2 (B) H-C≡C-CH2 (C) H2C=C=O (D) H2C=C-CH2

BC

yes

chemistry

The metal rod M is

(A) Fe (B) Cu (C) Ni (D) Co

B

no

chemistry

The compound N is

(A) AgNO3 (B) Zn(NO3)2 (C) Al(NO3)3 (D) Pb(NO3)2

A

no

chemistry

The final solution contains

(A) [Pb(NH3)4]2+ and [CoCl4]2- (B) [Al(NH3)4]3+ and [Cu(NH3)4]2+ (C) [Ag(NH3)2]+ and [Cu(NH3)4]+ (D) [Ag(NH3)2]+ and [Ni(NH3)6]2+

C

no

chemistry

The structure of compound P is

(A) CH3CH2CH2CH2—C≡C—H, (B) H3CH2C—C≡C—CH2CH3, (C) H3C—C—C≡C—CH3, (D) H3C—C—C≡C—H

D

yes

chemistry

The structure of the compound Q is

(A) H3C—OH—C—CH2CH3, (B) H3C—C—C—CH3, (C) H3C—OH—CH2CHCH3, (D) CH3CH2CH2CHCH2CH3

B

yes

chemistry

The difference in the oxidation numbers of the two types of sulphur atoms in Na₂S₂O₆ is

5

no

chemistry

Reaction of Br₂ with Na₂CO₃ in aqueous solution gives sodium bromide and sodium bromate with evolution of CO₂ gas. The number of sodium bromide molecules involved in the balanced chemical equation is

5

no

chemistry

The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, m_s = –1/2, is

9

no

chemistry

The work function (Φ) of some metals is listed below. The number of metals which will show photoelectric effect when light of 300 nm wavelength falls on the metal is

Metal: Li, Na, K, Mg, Cu, Ag, Fe, Pt, W; Φ (eV): 2.4, 2.3, 2.2, 3.7, 4.8, 4.3, 4.7, 6.3, 4.75

4

no

chemistry

To an evacuated vessel with movable piston under external pressure of 1 atm., 0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm. at 0 °C) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0 °C is close to

7

no

chemistry

The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentyihexane using alcoholic KOH is

5

no

chemistry

A decapeptide (Mol. Wt. 796) on complete hydrolysis gives glycine (Mol. Wt. 75), alanine and phenylalanine. Glycine contributes 47.0 % to the total weight of the hydrolysed products. The number of glycine units present in the decapeptide is

6

no

chemistry

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver is

(A) 8.50 kHz (B) 8.25 kHz (C) 7.75 kHz (D) 7.50 kHz

A

no

physics

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T₁, the work done in the process is

(A) (9/8) R T₁ (B) (3/2) R T₁ (C) (15/8) R T₁ (D) (9/2) R T₁

A

no

physics

Consider an electric field E = E₀ x, where E₀ is a constant. The flux through the shaded area (as shown in the figure) due to this field is

(A) 2E₀a² (B) √(2E₀a²) (C) E₀a² (D) (E₀a²/√2)

C

yes

physics

The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 Å. The wavelength of the second spectral line in the Balmer series of singly-ionized helium atom is

(A) 1215 Å, (B) 1640 Å, (C) 2430 Å, (D) 4687 Å

A

no

physics

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is

(A) 9, (B) 18, (C) 27, (D) 36

D

yes

physics

A meter bridge is set-up as shown, to determine an unknown resistance 'X' using a standard 10 ohm resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of 'X' is

(A) 10.2 ohm, (B) 10.6 ohm, (C) 10.8 ohm, (D) 11.1 ohm

B

yes

physics

A 2 μF capacitor is charged as shown in figure. The percentage of its stored energy dissipated after the switch S is turned to position 2 is

(A) 0%, (B) 20%, (C) 75%, (D) 80%

D

yes

physics

A spherical metal shell A of radius RA and a solid metal sphere B of radius RB (< RA) are kept far apart and each is given charge '+Q'. Now they are connected by a thin metal wire. Then

(A) Einside = 0, (B) QA > QB, (C) σA = RB/RA * σB, (D) Eout surface A < Eout surface B

ABCD

no

physics

An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpendicular to the velocity. Which of the following statement(s) is/are true?

(A) They will never come out of the magnetic field region, (B) They will come out travelling along parallel paths, (C) They will come out at the same time, (D) They will come out at different times.

BC, BD, BCD

no

physics

A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length, L) as shown in the figure. All slabs are of same width. Heat 'Q' flows only from left to right through the blocks. Then in steady state

A) heat flow through A and E slabs are same. B) heat flow through slab E is maximum. C) temperature difference across slab E is smallest. D) heat flow through C = heat flow through B + heat flow through D.

D

yes

physics

A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin disk of mass 'M' and radius 'R' (< L) is attached at its center to the free end of the rod. Consider two ways the disc is attached: (case A) The disc is not free to rotate about its center and (case B) the disc is free to rotate about its center. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true?

A) Restoring torque in case A = Restoring torque in case B B) Restoring torque in case A < Restoring torque in case B C) Angular frequency for case A > Angular frequency for case B. D) Angular frequency for case A < Angular frequency for case B.

D

yes

physics

Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed.

No response choices provided

No answer provided

yes

physics

For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis.

No response choices provided

No answer provided

yes

physics

For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure.

No response choices provided

No answer provided

yes

physics

The phase space diagram for a ball thrown vertically up from ground is

A, B, C, D

D

yes

physics

The phase space diagram for simple harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and E1 and E2 are the total mechanical energies respectively. Then

(A) E1 = √2 E2, (B) E1 = 2 E2, (C) E1 = 4 E2, (D) E1 = 16 E2

C

yes

physics

Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for one cycle of this system is

(A), (B), (C), (D)

B

yes

physics

Taking the electronic charge as 'e' and the permittivity as '\epsilon_0', use dimensional analysis to determine the correct expression for \omega_p.

(A) \sqrt{Ne/m\epsilon_0}, (B) \sqrt{m\epsilon_0/Ne}, (C) \sqrt{Ne^2/m\epsilon_0}, (D) \sqrt{m\epsilon_0/Ne^2}

C

no

physics

Estimate the wavelength at which plasma reflection will occur for a metal having the density of electrons N = 4 × 10^27 m^-3. Take \epsilon_0 = 10^-11 and m = 10^-30, where these quantities are in proper SI units.

(A) 800 nm, (B) 600 nm, (C) 300 nm, (D) 200 nm

B

no

physics

A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls it without slipping with an acceleration of 0.3 m/s². The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is (P/10). The value of P is

4

yes

physics

A block is moving on an inclined plane making an angle 45° with the horizontal and the coefficient of friction is μ. The force required to just push it up the inclined plane is 3 times the force required to just prevent it from sliding down. If we define N = 10 μ, then N is

5

no

physics

Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side 'a '. The surface tension of the soap film is γ. The system of charges and planar film are in equilibrium, and α = k [a^2/γ]^(1/N), where 'k' is a constant. Then N is

3

no

physics

Steel wire of length 'L' at 40°C is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from 40°C to 30°C to regain its original length 'L'. The coefficient of linear thermal expansion of the steel is 10^(-5) /°C, Young's modulus of steel is 10^11 N/m^2 and radius of the wire is 1 mm. Assume that L >> diameter of the wire. Then the value of 'm' in kg is nearly

3

no

physics

The activity of a freshly prepared radioactive sample is 10^10 disintegrations per second, whose mean life is 10^9 s. The mass of an atom of this radioisotope is 10^(-23) kg. The mass (in mg) of the radioactive sample is

1

no

physics

A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop of resistance 0.005 ohm and of radius 0.1 m is placed inside the tube with its axis coinciding with the axis of the tube. The current varies as I = I0 cos (300 t) where I0 is constant. If the magnetic moment of the loop is N d0 I0 sin (300 t), then 'N' is

(No response choices provided)

6

yes

physics

Four solid spheres each of diameter √5 cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4cm. The moment of inertia of the system about the diagonal of the square is N × 10^-4 kg-m^2, then N is

(No response choices provided)

9

no

physics

Let (x0, y0) be the solution of the following equations (2x)^(ln2) = (3y)^(ln3), 3^(ln x) = 2^(ln y). Then x0 is

A) 1/6, B) 1/3, C) 1/2, D) 6

C

no

mathematics

The value of ∫(^(3)_(0.5)) (1/sin x^2 + sin (ln 6 - x^2)) dx is

A) (1/4)ln(3/2), B) (1/2)ln(3/2), C) ln(3/2), D) (1/6)ln(3/2)

A

no

mathematics

Let a⃗=i⃗+j⃗+k⃗, b⃗=i⃗−j⃗+k⃗ and c⃗=i⃗−j⃗−k⃗ be three vectors. A vector v⃗ in the plane of a⃗ and b⃗, whose projection on c⃗ is 1/√3, is given by

A) i⃗−3j⃗+3k⃗, B) −3i⃗−3j⃗−k⃗, C) 3i⃗−j⃗+3k⃗, D) i⃗+3j⃗−3k⃗

C

no

mathematics

Let P={θ: sin θ−cos θ=√2 cos θ} and Q={θ: sin θ+cos θ=√2 sin θ} be two sets. Then

A) P⊂Q and Q−P≠∅, B) Q⊄P, C) P⊄Q, D) P=Q

D

no

mathematics

Let the straight line x=b divide the area enclosed by y=(1−x)², y=0, and x=0 into two parts R₁ (0≤x≤b) and R₂ (b≤x≤1) such that R₁−R₂=1/4. Then b equals

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

B

no

mathematics

Let α and β be the roots of x^2 - 6x - 2 = 0, with α > β. If a_n = α^n - β^n for n≥1, then the value of (a_0 - 2a_1)/2a_0 is

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

C

no

mathematics

A straight line L through the point (3,-2) is inclined at an angle 60° to the line √3x + y = 1. If L also intersects the x-axis, then the equation of L is

(A) y + √3x + 2 - 3√3 = 0, (B) y - √3x + 2 + 3√3 = 0, (C) √3y - x + 3 + 2√3 = 0, (D) √3y + x - 3 + 2√3 = 0

B

no

mathematics

The vector(s) which is/are coplanar with vectors \vec{i} + \vec{j} + 2\vec{k} and \vec{i} + 2\vec{j} + \vec{k}, and perpendicular to the vector \vec{i} + \vec{j} + \vec{k} is/are

(A) \vec{j} - \vec{k}, (B) -\vec{i} + \vec{j}, (C) \vec{i} - \vec{j}, (D) -\vec{j} + \vec{k}

AD

no

mathematics

Let M and N be two 3x3 non-singular skew-symmetric matrices such that MN = NM . If P^T denotes the transpose of P, then M^2N^2 (M^TN)^-1 (MN^-1)^T is equal to

(A) M^2, (B) -N^2, (C) -M^2, (D) MN

MARKS TO ALL

no

mathematics

Let the eccentricity of the hyperbola x^2/a^2 - y^2/b^2 = 1 be reciprocal to that of the ellipse x^2 + 4y^2 = 4 . If the hyperbola passes through a focus of the ellipse, then

(A) the equation of the hyperbola is x^2/3 - y^2/2 = 1, (B) a focus of the hyperbola is (2, 0), (C) the eccentricity of the hyperbola is \sqrt{5}/3, (D) the equation of the hyperbola is x^2 - 3y^2 = 3

BD

no

mathematics

Let f : R → R be a function such that f(x + y) = f(x) + f(y), ∀x, y ∈ R. If f(x) is differentiable at x = 0, then

(A) f(x) is differentiable only in a finite interval containing zero, (B) f(x) is continuous ∀x ∈ R, (C) f'(x) is constant ∀x ∈ R, (D) f(x) is differentiable except at finitely many points

BC,BCD

no

mathematics

If the point P(a, b, c), with reference to (E), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is

(A) 0, (B) 12, (C) 7, (D) 6

D

yes

mathematics

Let ω be a solution of x^3 - 1 = 0 with Im(ω) > 0. If a = 2 with b and c satisfying (E), then the value of (3/ω^4) + (1/ω^6) + (3/ω^5) is equal to

(A) -2, (B) 2, (C) 3, (D) -3

A

yes

mathematics

Let b = 6, with a and c satisfying (E). If α and β are the roots of the quadratic equation ax^2 + bx + c = 0, then Σ[(1/α)^n + (1/β)^n] is

(A) 6, (B) 7, (C) 6/7, (D) ∞

B

no

mathematics

The probability of the drawn ball from U2 being white is

(A) 13/30 (B) 23/30 (C) 19/30 (D) 11/30

B

no

mathematics

Given that the drawn ball from U2 is white, the probability that head appeared on the coin is

(A) 17/23 (B) 11/23 (C) 15/23 (D) 12/23

D

no

mathematics

Consider the parabola y² = 8x. Let A₁ be the area of the triangle formed by the end points of its latus rectum and the point P(1, 2) on the parabola, and A₂ be the area of the triangle formed by drawing tangents at P and at the end points of the latus rectum. Then A₁/A₂ is

2

no

mathematics

Let a₁, a₂, a₃, ..., a₁₀₀ be an arithmetic progression with a₁ = 3 and S₅ = Σⁿᵖ=¹ aᵖ , 1 ≤ p ≤ 100. For any integer n with 1 ≤ n ≤ 20, let m = 5n. If S_m/S₅ does not depend on n, then a₅ is

3, 9, 3 & 9 BOTH

no

mathematics

The positive integer value of n > 3 satisfying the equation 1/[sin(π/n)] = 1/[sin(2π/n)] + 1/[sin(3π/n)] is

7

no

mathematics

Let f : [1, ∞) → [2, ∞) be a differentiable function such that f(1) = 2. If ∫(6/1) f(t) dt = 3x f(x) - x5 for all x ≥ 1, then the value of f(2) is

MARKS TO ALL

no

mathematics

If z is any complex number satisfying |z - 3 - 2i| ≤ 2, then the minimum value of |2z - 6 + 5i| is

5

no

mathematics

The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1, a8 and a^10 with a > 0 is

8

no

mathematics

Let f(θ) = sin(tan^-1((sin θ)/√(cos 2θ))), where -π/4 < θ < π/4. Then the value of d/d(tan θ)(f(θ)) is

1

no

mathematics

Oxidation states of the metal in the minerals haematite and magnetite, respectively, are

(A) II, III in haematite and III in magnetite (B) II, III in haematite and II in magnetite (C) II in haematite and II, III in magnetite (D) III in haematite and II, III in magnetite

D

no

chemistry

Among the following complexes (K–P), K3[Fe(CN)6] (K), [Co(NH3)6]Cl3 (L), Na3[Co(oxalate)3] (M), [Ni(H2O)6]Cl2 (N), K3[Pt(CN)6] (O) and [Zn(H2O)6](NO3)2 (P) the diamagnetic complexes are

(A) K, L, M, N (B) K, M, O, P (C) L, M, O, P (D) L, M, N, O

C

no

chemistry

Passing H2S gas into a mixture of Mn2+, Ni2+, Cu2+ and Hg2+ ions in an acidified aqueous solution precipitates

(A) CuS and HgS (B) MnS and CuS (C) MnS and NiS (D) NiS and HgS

A

no

chemistry

Consider the following cell reaction: 2Fe(s) + O2(g) + 4H+(aq) → 2Fe3+(aq) + 2H2O(l) E° = 1.67 V At [Fe3+] = 10–3 M, P(O2) = 0.1 atm and pH = 3, the cell potential at 25 °C is

(A) 1.47 V (B) 1.77 V (C) 1.87 V (D) 1.57 V

D

no

chemistry

The freezing point (in °C) of a solution containing 0.1 g of K4[Fe(CN)6] (Mol. Wt. 329) in 100 g of water (Kf = 1.86 K kg mol^-1) is

(A) −2.3 × 10^-2 (B) −5.7 × 10^-2 (C) −5.7 × 10^-3 (D) −1.2 × 10^-2

A

no

chemistry

Amongst the compounds given, the one that would form a brilliant colored dye on treatment with NaNO2 in dil. HCl followed by addition to an alkaline solution of β-naphtholƖ(CH3)2 Ɣ NH2 Ɣ CH2NH2

βCH3 NHCH3 H3C

C

yes

chemistry

The major product of the following reaction is RCH2OH ------> H⊕ (anhydrous)

(A) a hemiacetal (B) an acetal (C) an ether (D) an ester

B

yes

chemistry

The following carbohydrate is H OH HO HO HO H H

(A) a ketohexose (B) an aldohexose (C) an α-furanose (D) an α-pyranose

B

yes

chemistry

Reduction of the metal centre in aqueous permanganate ion involves

(A) 3 electrons in neutral medium, (B) 5 electrons in neutral medium, (C) 3 electrons in alkaline medium, (D) 5 electrons in acidic medium

ACD

no

chemistry

The equilibrium 2 Cu⁺ ⇌ Cu²⁺ + Cu⁰ in aqueous medium at 25 °C shifts towards the left in the presence of

(A) NO₃⁻, (B) Cl⁻, (C) SCN⁻, (D) CN⁻

BCD

no

chemistry

For the first order reaction 2N2O5(g) → 4NO2(g) + O2(g)

(A) the concentration of the reactant decreases exponentially with time. (B) the half-life of the reaction decreases with increasing temperature. (C) the half-life of the reaction depends on the initial concentration of the reactant. (D) the reaction proceeds to 99.6 % completion in eight half-life duration.

ABD

no

chemistry

The correct functional group X and the reagent/reaction conditions Y in the following scheme are X—(CH2)4—X (i) Y —————————————————> condensation polymer O O (ii) \C—(CH2)4—C/ \ / HO OH heat

(A) X = COOCH3 , Y = H2/Ni/heat (B) X = CONH2 , Y = H2/Ni/heat (C) X = CONH2 , Y = Br2/NaOH (D) X = CN , Y = H2/Ni/heat

CD

yes

chemistry

Among the following, the number of compounds than can react with PCl5 to give POCl3 is O2, CO2, SO2, H2O, H2SO4, P2O10

<no multiple choice options provided>

4

no

chemistry