Practice Questions

Q60.In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) - (number of peptide bonds) is ¯

Q60.If CuH2O4 2 + absorbs a light of wavelength 600 nm for d - d transition, then the value of octahedral crystal field splitting energy for CuH2O6 2 + will be____ × 10-21 J [Nearest integer] (Given : h = 6 . 63 × 10-34Js and c = 3 . 08 × 108 ms-1)

Q60.The spin only magnetic moment of the complex present in Fehling's reagent is____ B. M. (Round off your answer to the nearest integer) 1 2 5 5) 3 3) 3 + −5(log5 = 0 then

Q60.In the cobalt-carbonyl complex : [Co2 (CO)8], number of Co −Co bonds is " X" and terminal CO ligands is " Y ". X + Y =___

Q60.Total number of relatively more stable isomer(s) possible for octahedral complex Cuen2SCN2 will be____ 1

Q60.How many of the following drugs is/are example(s) of broad spectrum antibiotic? Ofloxacin, Penicillin G, Terpineol, Salvarsan

Q60.Number of complexes which will exhibit synergic bonding amongst, [Cr (CO)6], [Mn (CO)5] and [Mn2 (CO)10] is

Q61.The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is (1) 72 (2) 48 (3) 24 (4) 60

Q61.If α, β are the roots of the equation x2 −(5 + 3√log3 −5√log5 3)x 3(3(log3 −1) the equation, whose roots are α + β1 and β + α1 , (1) 3x2 −20x −12 = 0 (2) 3x2 −10x −4 = 0 (3) 3x2 −10x + 2 = 0 (4) 3x2 −20x + 16 = 0

Q61.Let O be the origin and A be the point z1 = 1 + 2i . If B is the point z2, Re (z2) < 0 , such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true? (1) arg z2 = π −tan−1 3 (2) arg(z1 −2z2) = −tan−1 34 (3) |z2| = √10 (4) |2z1 −z2| = 5

Q61.The area of the polygon, whose vertices are the non-real roots of the equation z = iz2 is (1) 3√3 (2) 3√3 2 4 (3) √3 (4) √3 4 2

Q61.The minimum value of the sum of the squares of the roots of 𝑥2 + 3 - 𝑎𝑥= 2𝑎- 1 is (1) 6 (2) 4 (3) 5 (4) 8

Q61.Let the minimum value v0 of v = |z|2 + |z −3|2 + |z −6i|2 , z ∈C is attained at z = z0 . Then ¯2z20 −z30 + 3 2 + v20 is equal to (1) 1000 (2) 1024 (3) 1105 (4) 1196

Q61.Let α and β be the roots of the equation x2 + (2i −1) = 0 . Then, the value of α8 + β8 is equal to (1) 50 (2) 250 (3) 1250 (4) 1550

Q61.For z ∈C if the minimum value of ( z −3√2 + z −p√2i ) is 5√2 , then a value of (1) 3 (2) 72 (3) 4 (4) 92

Q61.Let 𝑆1 = 𝑧1 ∈𝐶: 𝑧1 - 3 = 2 and 𝑆2 = 𝑧2 ∈𝐶: 𝑧2 - 𝑧2 + 1 = 𝑧2 + 𝑧2 - 1 . Then, for 𝑧1 ∈𝑆1 and 𝑧2 ∈𝑆2, the least value of 𝑧2 - 𝑧1 is (1) 0 (2) 1 2 3 5 (3) (4) 2 2

Q62.If x = ∑∞n=0 an, y = ∑∞n=0 bn, z = ∑∞n=0 cn , where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc ≠0, then (1) x, y, z are in A.P. (2) x, y, z are in G.P. (3) x 1 , 1y , 1z are in A.P. (4) x1 + 1y + 1z = 1 −(a + b + c)

Q62.Let S be the set of all (α, β), π < α, β < 2π, for which the complex number 1+2i1−i sinsinαα is purely imaginary and β 1+i cos is purely real. Let Zαβ = sin 2α + i cos 2β, (α, β) ∈S . β 1−2i cos 1 +¯ Then ∑(α,β)∈S(iZαβ iZ αβ ) is equal to (1) 3 (2) 3i (3) 1 (4) 2 −i

Q51.The number of significant figures in 50000. 020 × 10−3 is

Q51.The density of NaOH solution is 1. 2 g cm−3. The molality of this solution is m (Round off to the Nearest Integer): [Use : Atomic masses : Na : 23. 0u O : 16. 0u H : 1. 0u Density of H2O : 1. 0 g cm−3]

Q51.An aqueous KCl solution of density 1. 20 g mL−1 has a molality of 3. 30 mol kg−1 . The molarity of the solution in molL−1 is____.(The Nearest integer) [ Molar mass of KCl = 74. 5 g]

Q51. Ge (Z = 32) in its ground state electronic configuration has x completely filled orbitals with ml = 0. The value of x is __________ .

Q51.The number of significant figures in 0. 00340 is _________

Q51.The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is 2 K2 Cr2 O7 + 8H2 SO4 + 3C2H6O →2 Cr2 (SO4)3 + 3C2H4O2 + 2 K2 SO4 + 11H2O If the rate of appearance of Cr2 (SO4)3 is 2. 67 mol min−1 at a particular time, the rate of disappearance of C2H6O at the same time is mol min−1. (Nearest integer) Q52. 1 kg of 0. 75 molal aqueous solution of sucrose can be cooled up to −4°C before freezing. The amount of ice (in g ) that will be separated out is ___________. (Nearest integer) [Given : Kf(H2O) = 1. 86 K kg mol−1 ]

Q51.The Azimuthal quantum number for the valence electrons of Ga+ ion is (Atomic number of Ga = 31)