Category: iit jam biotechnology previous year paper pyq 2019 video solution

Category: iit jam biotechnology previous year paper pyq 2019 video solution

iit jam biotechnology previous year paper pyq 2019 video solution

Q.60 An infinitely long solenoid of radius r and number of turns per unit length n carries a steady current I. The ratio of the magnetic fields at a point on the axis of the solenoid to a point r/2 from the axis is _______ .

 Infinitely Long Solenoid Magnetic Field Ratio

Q.59 Let ā = 4î - 2ĵ + 6k̂ and b̂ = 7î + ĵ - 12k̂. If ā × b̂ = αî + βĵ + k̂γ, then the value of α + β + γ equals_______.

Vector Cross Product

Q.58 The standard emf of a cell (in V) involving the reaction, 2 Ag+ (aq.) → Ag (s) + Ag2+ (aq.) at 298 K is _________. [Correct to two decimal places] [Given: Ag+ (aq.) + e → Ag (s); Eo = 0.62 V and Ag2+ (aq.) + e → Ag+ (aq.); Eo = 0.12 V]

Standard EMF of a Cell for the Reaction 2Ag⁺(aq) → Ag(s) + Ag²⁺(aq) at 298 K

Q.57 The concentration of NaCl (in mM) formed at the stoichiometric equivalence point when 10 mL of 0.1 M HCl solution is titrated with 0.2 M NaOH solution is ________. (as an integer)

NaCl Concentration at Equivalence Point

Q.56 Two identical, infinite conducting plates are kept parallel to each other and are separated by a distance d. The uniform charge densities on the plates are +σ and -σ. The electric field at a point between the two plates is ݊ n(sigma/eo), where n is _______.  (0 is the permittivity of free space)

Electric Field Between Two Infinite Parallel Conducting Plates (+σ and –σ)

Q.55 The total number of DNA molecules present after 5 cycles of polymerase chain reaction (PCR) starting with 3 molecules of template DNA is ________.

Total Number of DNA Molecules After 5 PCR Cycles Starting with 3 Templates

Q.54 In a bacterium, a mutation resulted in an increase of KS (substrate-specific constant) for ammonium from 50 μM to 5000 μM without affecting μ max . The specific growth rate (μ) of the mutant growing on 0.5 mM ammonium in the medium decreases by a factor of ________.

KS Mutation Effect on Bacterial Growth

Q.53 Phosphoglucoisomerase catalyzes the following reaction: Glu-6-P ⇌ Fru-6-P If 0.05% of the original concentration of Glu-6-P remains at equilibrium, then the equilibrium constant of this reaction is________.

Phosphoglucoisomerase Equilibrium Constant

Q.52 The value of ∫0π/2 x sin x dx is ______.

Evaluate \( \int_0^{\pi/2} x \sin x \, dx \)

Q.51 A schematic representation of restriction fragment length polymorphism (RFLP) analysis of a sample population is shown below. The number of people exhibiting a given pattern is indicated above the lanes. Calculate the frequency of 6.5 kb allele. [Correct to two decimal places]

RFLP Allele Frequency Problem

Q.50 The total number of multiplet peaks in the 1 H NMR spectrum of 1,3,5-tri-isopropylbenzene in CDCl 3 is ________.

1H NMR Spectrum of 1,3,5-Triisopropylbenzene in CDCl3

Q.49 The total number of lone pairs of electrons in NO2 F is _______.

Total Number of Lone Pairs of Electrons in NO₂F

Q.48 A metallic wire of electrical resistance 40 Ω is bent in the form of a square loop. The resistance between any two diagonally opposite corners is ________ Ω.

Resistance Between Diagonally Opposite Corners

Q.47 The refractive index of a liquid relative to air is 1.5. Calculate the ratio of the real depth to the apparent depth when the liquid is taken in a beaker.

Refractive Index 1.5

Q.46 Proinsulin is an 84 residue polypeptide with six cysteines. How many different disulfide combinations are possible?

 Proinsulin 6 Cysteines Disulfide Combinations

Q.45 Heterozygous female fruit flies with gray body and purple eyes were mated with homozygous males with black body and red eyes. The number of offspring obtained and their phenotypes are shown below: Number of offspring Phenotype 300 Gray body–purple eyes 347 Black body–red eyes 61 Gray body–red eyes 55 Black body–purple eyes Calculate the recombination frequency.

Recombination Frequency in Drosophila

Q.44 Let N be the set of natural numbers and f: N↦N be defined by f(x) = { x/2, if x even 3x+1, if x odd } Let fn(x) denote the n-fold composition of f(x). What is the smallest integer n such that fn(13) = 1?

Collatz Function Problem

Q.43 Let XYZ be an equilateral triangle and let P, Q, R be the mid points of YZ, XZ, and XY, respectively. Let r = Area(∆PQR)Area(∆XYZ). The value of r is _______.

Area of Triangle Formed by Midpoints of an Equilateral Triangle

Q.42 A 0.1% (w/v) solution of a protein absorbs 20% of the incident light. What fraction of light is transmitted if the concentration is increased to 0.4%? [Correct to two decimal places]

Protein Solution Absorbance

Q.41 C3 plants utilize 18 molecules of ATP to synthesize one molecule of glucose from CO 2 . How many molecules of ATP equivalents are used by C 4 plants to synthesize one molecule of glucose from CO2 ?

C4 Plants ATP Equivalents

Q.40 The reaction of (R)-2-bromobutane with CN proceeds by ________. (A) retention of configuration (B) inversion of configuration (C) formation of CH2 =CH(CH2 CH3 ) (D) formation of (S)-2-methylbutanenitrile

(R)-2-Bromobutane with CN⁻ Reaction

Q.39 BF 3 reacts readily with ________. (A) C5 H5 N (B) SnCl 2 (C) SO3 (D) (C5 H5 N)SnCl 2

BF3 Reacts Readily with C5H5N

Q.38 Which of the following statement(s) is/are true? (A) In intrinsic semiconductors, the number of electrons is equal to the number of holes at any temperature (B) An intrinsic semiconductor changes to an n-type semiconductor upon addition of a trivalent element (C) The shape of the I-V characteristics of a p-n diode is a straight line (D) In the reverse bias condition, the current in a p-n diode is due to the minority carriers

 Intrinsic Semiconductors Electrons Holes

Q.37 Electromagnetic waves _______. (A) carry energy (B) carry momentum (C) are transverse in nature while travelling in vacuum (D) do not need a material medium to travel

Electromagnetic Waves

Q.36 Which of the following cell types can develop from myeloid lineage? (A) Macrophages (B) T lymphocytes (C) B lymphocytes (D) Erythrocytes

Myeloid Lineage Cell Types

Q.35 The advantage(s) of storing chemical energy in the form of starch and not as free glucose is/are that it________. (A) minimizes diffusion (B) enables compact storage (C) reduces osmotic pressure (D) protects against chemical reactivity of aldehyde groups

Advantage of Storing Chemical Energy as Starch Not Free Glucose

Q.34 The characteristic oxygen binding profile of hemoglobin shown below arises due to the ________. (A) quaternary structure (B) subunit dissociation (C) cooperativity (D) conformational change

Cooperative Oxygen Binding in Hemoglobin

Q.33 Let f(x) = (x-1)(x-2)(x-3)(x-4) and let f(3/2) = α, f(5/2) = β and f(-7/2) = γ. Which of the following is/are CORRECT? (A) α and β have the same sign (B) α and γ have the same sign (C) β and γ have the same sign (D) αβ and γβ have the same sign

Sign Analysis of f(x)=(x-1)(x-2)(x-3)(x-4) at 3/2, 5/2, -7/2

Q.32 Let U = {1, 2, ..., 15}. Let P ⊆ U consist of all prime numbers, Q ⊆ U consist of all even numbers and R ⊆ U consist of all multiples of 3. Let T = P - Q. Then, which of the following is/are CORRECT? (A) |T| = 5 and |T ∪ R| = 9 (B) |T| = 6 and |T ∪ R| = 9 (C) |T| = 5 and |T ∩ R| = 1 (D) |T| = 6 and |T ∩ R| = 1

Solve Set Theory

Q.31 Pick the correct statement(s) with respect to the inter-conversion of the topoisomers of a circularly closed double stranded DNA. (A) Only one strand needs to be cut (B) Both strands have to be cut (C) No strand needs to be cut (D) ATP is required for inter-conversion

Topoisomers of Circular DNA

Q.30 Among the following species, the metal center that has the highest number of unpaired electrons is _______. (A) VCl₄ (B) Ni(CO)₄ (C) [AuCl₄]⁻ (D) [CdBr₄]²⁻

Which Metal Center Has Highest Unpaired Electrons

Q.29 H₂ reacts with trans-(Ph₃P)₂Ir(CO)Cl to primarily produce _______.

H₂ Reacts with trans-(Ph₃P)₂Ir(CO)Cl

Q.28 pKa increases in the order _______. (A) HN₃ > NH₃OH⁺ > N₂H₅⁺ > NH₃ (B) NH₃OH⁺ > N₂H₅⁺ > HN₃ > NH₃ (C) NH₃ > NH₃OH⁺ > N₂H₅⁺ > HN₃ (D) HN₃ > N₂H₅⁺ > NH₃ > NH₃OH⁺

pKa Order of HN3, NH3OH+, N2H5+, NH3

Q.27 Match the entries in Group I with entries in Group II Group I Group II (P) Bacteria (i) Malaria (Q) Virus (ii) Tuberculosis (R) Protozoa (iii) Influenza (S) Autoantibodies (iv) Myasthenia gravis (A) P-ii, Q-i, R-iii, S-iv (B) P-ii, Q-iii, R-i, S-iv (C) P-iv, Q-iii, R-i, S-ii (D) P-i, Q-iv, R-ii, S-iii

Bacteria Virus Protozoa Autoantibodies Matching

Q.26 According to the kinetic theory of gases, the average energy of a diatomic molecule in an ideal gas depends on _______. (A) mass of each atom and the temperature (B) mass of each atom and the bond length (C) mass of each atom, bond length, and temperature (D) temperature only

Kinetic Theory of Gases

Q.25 Which one of the following remains unchanged when light waves enter water from air? (A) Wavelength (B) Wavenumber (C) Frequency (D) Intensity

Which Remains Unchanged

Q.24 Indole acetic acid (IAA) is involved in ______. (A) gravitropism (B) flowering (C) ripening (D) senescence

Indole Acetic Acid (IAA) in Gravitropism

Q.23 A particle starting from rest is subjected to a constant force. The plot of distance traveled along the direction of the force as a function of time is a/an ______. (A) straight line (B) circle (C) parabola (D) ellipse

Distance Time Graph for Constant Acceleration from Rest

Q.22 Which one of the following statements is INCORRECT with respect to bacterial conjugation? (A) It facilitates transfer of genetic material (B) It requires flagellum (C) It can spread antibiotic resistance (D) It can transfer virulence factors

Ultimate Guide to Bacterial Conjugation

Q.21 In a simple microscope, _______. (A) a lens with negative power is used (B) the focal length of the lens is less than the least distance for clear vision (C) the focal length of the lens is greater than the least distance for clear vision (D) magnification depends only on the focal length of the lens

Simple Microscope Focal Length Less Than Least Distance of Distinct Vision

Q.20 Which one of the following statements is a correct description of modes of action of taxol and colchicine? (A) Taxol causes DNA damage and colchicine prevents microtubule formation (B) Taxol stabilizes microtubules and colchicine inhibits protein synthesis (C) Taxol destabilizes microtubules and colchicine promotes microtubule formation (D) Taxol stabilizes microtubules and colchicine prevents microtubule formation

Taxol and Colchicine Modes of Action

Q.19 Which one of the following parameters changes upon doubling the enzyme concentration? (A) KM (B) V max (C) k cat (D) Keq

 Enzyme Concentration Effect on KM Vmax kcat Keq

Q.18 The following reaction is an example of ___________. (A) enolization (B) racemization (C) isomerization (D) epimerization

 Enolization vs Racemization vs Isomerization vs Epimerization

Q.17 The free energy required to synthesize a mixed anhydride bond of 1,3-bisphosphoglycerate is generated by the oxidation of ________. (A) an aldehyde to acid (B) an alcohol to acid (C) an alcohol to aldehyde (D) NADH to NAD +

Free Energy for 1,3-Bisphosphoglycerate Mixed Anhydride Bond

Q.16 Solutions of the following peptides are prepared separately at a concentration of 1 mM. Among these four, which one has the highest A280? (A) Ser-Val-Trp-Asp-Phe-Gly-Tyr-Trp-Ala (B) Gln-Leu-Glu-Phe-Thr-Leu-Asp-Gly-Tyr (C) Met-Gly-Val-Ileu-Asp-Ser-Ala-Trp-His (D) His-Pro-Gly-Asp-Val-Ileu-Phe-Met-Leu

Which Peptide Has Highest A280?

Q.15 Which one of the following modifications occurs both on DNA and protein? (A) ADP-ribosylation (B) Methylation (C) Sumoylation (D) Ubiquitination

Modifications on DNA and Protein

Q.14 The evolution of eyes in octopus and in human is an example of ________. (A) divergent evolution (B) convergent evolution (C) adaptive radiation (D) genetic drift

 Evolution of Eyes in Octopus and Human

Q.13 Simplify sin A / (1 + cos A) + (1 + cos A) / sin A . (A) 2 sec A (B) 2 cosec A (C) sec A (D) cosec A

How to Simplify sin A / (1 + cos A) + (1 + cos A) / sin A to 2 csc A in Trigonometry

Q.12 In how many ways can one write the elements 1, 2, 3, 4 in a sequence x₁, x₂, x₃, x₄ with x_i ≠ i ∀ i ? (A) 9 (B) 10 (C) 11 (D) 12

Derangements of 4 Elements

Q.11 Let a = √(5+1)/2 and b = √(5-1)/2. Then, limn→∞ (an + bn)/(an - bn) (A) is 1 (B) is ½ (C) is 0 (D) does not exist

Limit as n tends to infinity

Q.10 The orbital angular momentum of hydrogen atom in the ground state is ________. (A) 0 (B) h/2π (C) h/2 (D) h

Orbital Angular Momentum of Hydrogen Atom in Ground State

Q.9The technique that involves impacting samples with electrons is _______. (A) NMR spectroscopy (B) ESI mass spectrometry (C) IR spectroscopy (D) UV-vis spectroscopy

Technique Involving Impacting Samples with Electrons

Q.8Match the entries in Group I with the entries in Group II Group I Group II (P) Nylon (i) Isoprene (Q) Natural rubber (ii) Hexose (R) Starch (iii) Amino acid (S) Myoglobin (iv) Adipic acid (A) P-iv, Q-i, R-ii, S-iii (B) P-iv, Q-i, R-iii, S-ii (C) P-iv, Q-iii, R-ii, S-i (D) P-ii, Q-iv, R-i, S-iii

Match the Entries in Group I with Group II Nylon, Natural Rubber, Starch and Myoglobin Explained

Q.7The dimensions of coefficient of viscosity are _______. (A) ML-1T-1 (B) ML-1T-2 (C) ML-2T-2 (D) ML-2T-1

Dimensions of Coefficient of Viscosity

Q.6At what pH does poly-Glu in an aqueous solution form α-helical structure? (A) 3 (B) 7 (C) 9 (D) 12

At What pH Does Poly-Glu Form α-Helical Structure in Aqueous Solution?

Q.5 Which one of the following figures represents the correct sequence of phases in adult eukaryotic cell cycle?

Correct Sequence of Phases in Adult Eukaryotic Cell Cycle

Let U = {1, 2, 3, 4, 5}. A subset S is chosen uniformly at random from the non-empty subsets of U. What is the probability that S does NOT have two consecutive elements? (A) 9/31 (B) 10/31 (C) 11/31 (D) 12/31

 Probability Subset No Two Consecutive Elements U={1,2,3,4,5}

Q.3 Which one of the points P = (3/2, 1/2), Q = (1/2, 3/2), R = (3/2, 11/2) and S = (11/2, 3/2) lies ABOVE the parabola x² = y² and INSIDE the circle x² + y² = 4? (A) P (B) Q (C) R (D) S

Which Point Lies Above the Parabola

Q.2 A mutation in the operator locus of lac operon that confers constitutive expression of β- galactosidase is ________. (A) cis dominant (B) trans dominant (C) co-dominant (D) dominant negative

Lac Operon Operator Mutation Constitutive Expression β-Galactosidase Cis Dominant

Q.1 The glycosidic linkages in cellulose and amylose are ________, respectively. (A) α 1-4 and β 1-4 (B) β 1-4 and α 1-4 (C) β 1-4 and α 1-6 (D) α 1-4 and α 1-2

 Glycosidic Linkages in Cellulose and Amylose

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