List of practice Questions

Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers: \(Mn = 25; Fe = 26\))
(1) \([FeF_6]^{3–}\)
(2) \([Fe(CN)_6]^{3–}\)
(3) \([MnCl_6]^{3–}\) (high spin)
(4) \([Mn(CN)_6]^{3–}\)
17.0 g of NH3 completely vapourises at – 33.42°C and 1 bar pressure and the enthalpy change in the process is 23.4 kJ mol–1 . The enthalpy change for the vapourisation of 85 g of NH3 under the same conditions is ____ kJ.
Let the plane ax + by + cz = d pass through (2, 3, –5) and is perpendicular to the planes 2x + y – 5z = 10 and 3x + 5y – 7z = 12. If a, b, c, d are integers d > 0 and gcd (|a|, |b|, |c|, d) = 1, then the value of a + 7b + c + 20d is equal to :

\(\tan⁡(2\tan^{−1}\frac{⁡1}{5}+\sec^{−1}⁡\frac{\sqrt5}{2}+2\tan^{−1}⁡\frac{1}{8})\)
is equal to :

Vulcanization of rubber is carried out by heating a mixture of
The spin-only magnetic moment value of the compound with strongest oxidizing ability among MnF4, MnF3 and MnF2 is____ B.M. [nearest integer]

The number of q∈ (0, 4π) for which the system of linear equations
3(sin 3θ) x – y + z = 2
3(cos 2θ) x + 4y + 3z = 3
6x + 7y + 7z = 9
has no solution, is

Let \(x, y > 0\). If \(x^3y^2 = 2^{15}\), then the least value of \(3x + 2y\) is

Choose the correct answer :

1. Production of iron in blast furnace follows the following equation

Fe3O4(s)+4CO(g)→3Fe(I)+4CO22(g)

when 4.640 kg of Fe3O4 and 2.520 kg of CO are allowed to react then the amount of iron (in g) produced is

[Given : Molar Atomic mass (g mol–1) : Fe = 56

Molar Atomic mass (g mol–1) : O = 16

Molar Atomic mass (g mol–1) : C = 12]

Match List-I with List-II.

List-I (Metal)List-II (Application)
(A) Cs (I) High temperature thermometer
(B) Ga (II) Water repellent sprays
(C) B (III) Photoelectric cells
(D) Si (IV) Bullet proof vest

Choose the most appropriate answer from the options given below:

Two projectiles thrown at 30° and 45° with the horizontal, respectively, reach the maximum height in same time. The ratio of their initial velocities is :
A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If monkey initially climbs down with an acceleration of 4 m/s2 and then climbs up with an acceleration of 5 m/s2. Choose the correct option (g = 10 m/s2).
Reaction of \(BeCl_2\) with \(LiAlH_4\) gives :
  1. \(AlCl_3\)
  2. \(BeH_2\)
  3. \(LiH\)
  4. \(LiCl\)
  5. \(BeAlH_4\)
Choose the correct answer from the options given below :
An expression for a dimensionless quantity P is given by \(P=\frac{α}{β} log_e(\frac{kt}{βx})\); where α and β are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of α will be
Which of the following compounds is not aromatic?
Let \(f :R→R\) and \(g : R→R\) be two functions defined by \(f(x) = log_e(x^2 + 1) – e^{–x} + 1\) and \(g(x)=\frac {1−2e^{2x}}{e^x}\). Then, for which of the following range of α, the inequality \(f(g((\frac {α−1)^2}{3}))>f(g(α−\frac 53))\) holds?

Identify the major product formed in the following sequence of reactions:

How many of the given compounds will give a positive Biuret test_________? Glycine, Glycylalanine, Tripeptide, Biuret.
A company dissolves \(‘X’\) amount of \(CO_2\) at \(298\ K\) in \(1\) litre of water to prepare soda water. \(X\) = _____ \(× 10^{–3}\) g. (nearest integer)
(Given: partial pressure of \(CO_2\) at \(298\ K = 0.835\) bar. Henry’s law constant for \(CO_2\) at \(298\ K = 1.67\) Kbar. Atomic mass of \(H\), \(C\) and \(O\) is \(1\), \(12\), and \(6\) g mol–1, respectively)
Let A1, A2, A3, … be an increasing geometric progression of positive real numbers. If A1A3A5A7 = \(\frac {1}{1296}\) and A2 + A4 = \(\frac {7}{36}\) then, the value of A6 + A8 + A10 is equal to
Fig.

The stable carbocation formed in the above reaction is

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R 
Assertion A: The reduction of a metal oxide is easier if the metal formed is in liquid state than solid state. 
Reason R: The value of ΔG⊖ becomes more on negative side as entropy is higher in liquid state than solid state.
In the light of the above statements, choose the most appropriate answer from the options given below.
Let the foot of the perpendicular from the point \((1, 2, 4)\) on the line \(\frac{x+2}{4}=\frac{y−1}{2}=\frac{z+1}{3}\) be \(P\), Then the distance of \(P\) from the plane \(3x+4y+12z+23=0\) is
Identify the incorrect statement for \(PCl_5\) from the following.
The ′f′ orbitals are half and completely filled, respectively in lanthanide ions
[Given: Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]