IISER IAT 2023 question paper with solutions

1. P-(i); Q-(ii); R-(iii); S-(iv)
2. P-(ii); Q-(iv); R-(i); S-(iii)
3. P-(iii); Q-(i); R-(iv); S-(ii)
4. P-(iv); Q-(iii); R-(ii); S-(i)

1. Zymogen form of pepsin
2. Partially digested proteins
3. Activated form of pepsin
4. An intestinal mixture of proteins, mucous and ${\mathrm{HCO}}_3^{-}$

1. P-(i); Q-(iii); R-(ii); S-(iv)
2. P-(ii); Q-(iv); R-(iii); S-(i)
3. P-(iii); Q-(i); R-(iv); S-(ii)
4. P-(iv); Q-(ii); R-(i); S-(iii)

1. Prophase
2. Anaphase
3. Metaphase
4. Telophase

1. In dicots, the outer layer of the seed coat is called testa.
2. The endosperm is not present in some of the mature dicot seeds.
3. Coleoptile and coleorhiza are found in monocotyledonous seeds.
4. In monocot seeds, the membranous seed coat that is fused with the fruit wall is called the aleurone layer.

1. Spring wood and late wood.
2. Heart wood and sap wood.
3. Spring wood and heart wood.
4. Autumn wood and sap wood.

1. Atmospheric nitrogen is fixed by Nitrogenase by converting $N_2$ to ${\mathrm{NO}}_3^{-}$.
2. The catalytic redox center of Nitrogenase contains Mo and Fe as cofactors.
3. Nitrogenase can function optimally only in the presence of molecular oxygen.
4. The transport of important amides, like asparagine and glutamine, produced by transamination, to different parts of the plant body is mediated by phloem.

1. Greater variation of ecosystems found in India than in Scandinavia.
2. Higher diversity of amphibians in the Western Ghats than in the Eastern Ghats.
3. Variation in potency and concentration of reserpine produced by Rauwolfia vomitoria.
4. The greater diversity of plant species found in India compared to Central Asia.

1. Rho factor
2. Release factor
3. Sigma factor
4. Termination factor

1. P-(i); Q-(iv); R-(iii); S-(v)
2. P-(iii); Q-(ii); R-(v); S-(iv)
3. P-(iv); Q-(v); R-(i); S-(ii)
4. P-(v); Q-(i); R-(iv); S-(iii)

1. Tuberculosis
2. Pertussis
3. Typhoid
4. Malaria

$\text{ The diagram represents an enzyme, its substrate and potential inhibitors }(𝑃,𝑄,𝑅,𝑆,𝑇)\text{. }$

Which one of the following combinations is the best pair of competitive inhibitors for the enzyme?

1. P, S
2. $𝑄,𝑅$
3. S, T
4. R, T

1. 4
2. 9608
3. 9996
4. 392

The following pedigree chart shows the inheritance of a genetic disorder. I-2 and III-2 are the only affected individuals. Which one of the following is the correct pattern of inheritance of the disorder, and the genotype of the II- 3 individual?

1. Autosomal recessive, homozygous for the normal allele
2. Autosomal dominant, homozygous for the normal allele
3. X-linked recessive, heterozygous
4. Autosomal recessive, heterozygous

1. 0
2. 1
3. 2
4. 3

1. $O_2$ and ${𝐵}_2$
2. $O_2$ and ${𝐹}_2$
3. ${𝑂}_2,{𝐵}_2$, and ${𝑁}_2$
4. ${𝐹}_2,{𝑁}_2$, and ${𝐵}_2$

1. ${45}^{\circ }$
2. ${60}^{\circ }$
3. ${109}^{\circ }$
4. ${120}^{\circ }$

1. Malachite
2. Bauxite
3. Siderite
4. Quartz

1. ${\Delta }_{𝑟}{𝐻}^{\circ }$ vs $𝑇$
2. ${\Delta }_{𝑟}{𝐺}^{\circ }$ vs $𝑇$
3. ${\Delta }_{𝑟}{𝑆}^{\circ }$ vs $𝑇$
4. ${\Delta }_{𝑟}{𝑆}^{\circ }$ vs $𝑃$

Which of the following compounds will NOT undergo the Finkelstein reaction with NaI via ${𝑆}_{𝑁}2$ pathway?

1. I and III

2. II and III
3. II and IV
4. I and IV

$\text{ Which amongst the following are chiral compounds? }$

1. II and IV
2. I and IV
3. II and III
4. I and II

$\text{ Which one amongst the following bases is NOT present in RNA? }$

1. I
2. II
3. III
4. IV

$\text{ Which amongst the following are aromatic? }$

1. I and II
2. I and III
3. II and IV
4. III and IV

Transcription note: Restored the missing distractor from the 2023 paper; the secondary source repeated II and IV.

1. Solids and liquids have definite volume.
2. Due to the presence of electron-nuclear attraction in solids and liquids.
3. Due to the absence of electron-nuclear attraction in solids and liquids
4. Molecules are closer to each other in solids and liquids.

1. The value of $\frac{1}{𝑛}$ is between 0 and 1 .
2. It holds good over a wide range of pressures.
3. The Freundlich adsorption isotherm equation is an empirical equation.
4. It is used for the adsorption of both gases and solutions.

1. ${\Delta }_{𝑎}{𝐻}^0$ is the mean bond enthalpy of a C-H bond.
2. All four $C-H$ bonds in ${\mathrm{CH}}_4$ are identical in bond length and energy.
3. The energy required to break individual $C-H$ bonds in successive steps is different.
4. Mean C-H bond enthalpies differ slightly from compound to compound

1. Positive deviation and no deviation (ideal behaviour), respectively.
2. Negative deviation and positive deviation, respectively.
3. Positive deviation and negative deviation, respectively
4. No deviation (ideal behaviour) and negative deviation, respectively.

1. $H_3{O}_2^{+}$
2. $H_5{O}_3{}^{+}$
3. $H_7{O}_4^{+}$
4. $H_9{O}_4^{+}$

1. $(0,2𝑓(0\left)\right)$
2. $\left(4𝑓\right(0),6𝑓(0\left)\right)$
3. $\left(8𝑓\right(0),10𝑓(0\left)\right)$
4. $\left(12𝑓\right(0),14𝑓(0\left)\right)$

Transcription note: The given value is f(1), not a dotted derivative; checked against the 2023 paper.

1. 0
2. 1
3. 2
4. 3

1. Line
2. Hyperbola
3. Parabola
4. Circle

1. Zero
2. One
3. Two
4. Four

1. -3
2. 3
3. -1
4. 1

1. 30
2. 100
3. 200
4. 435

1. $\frac{\sqrt{10}}{3}𝜎$
2. $\frac{3}{\sqrt{10}}𝜎$
3. $\frac{10}{9}𝜎$
4. $\frac{9}{10}𝜎$

1. $1/9$
2. $2/9$
3. $1/4$
4. $4/9$

1. $𝑦\frac{{𝑑}^2𝑦}{𝑑{𝑥}^2}+{𝑒}^{𝑥}\frac{𝑑𝑦}{𝑑𝑥}+{𝑦}^2={𝑒}^{2𝑥}$
2. $𝑦\frac{{𝑑}^2𝑦}{𝑑{𝑥}^2}-{𝑒}^{𝑥}\frac{𝑑𝑦}{𝑑𝑥}+{𝑦}^2={𝑒}^{2𝑥}$
3. $𝑦\frac{{𝑑}^2𝑦}{𝑑{𝑥}^2}-{𝑒}^{𝑥}\frac{𝑑𝑦}{𝑑𝑥}+{𝑦}^2={𝑒}^{𝑥}$
4. $𝑦\frac{{𝑑}^2𝑦}{𝑑{𝑥}^2}+{𝑒}^{𝑥}\frac{𝑑𝑦}{𝑑𝑥}+{𝑦}^2={𝑒}^{𝑥}$

1. $\frac{1}{2}𝑒$
2. $𝑒-1$
3. $\frac{1}{2}(𝑒-1)$
4. $𝑒-2$

1. 2

2. -2

3. -5

4. -10

1. 1
2. -1
3. 2
4. 3

1. $(-\infty ,0)$
2. $(0,2)$
3. $(2,4)$
4. $(4,\infty )$

1. $𝑓$ is increasing on $(\frac{𝜋}{4},\frac{𝜋}{2})$.
2. $𝑓$ is decreasing on $(\frac{𝜋}{4},\frac{𝜋}{2})$
3. $𝑓$ is increasing on $(\frac{𝜋}{4},\frac{𝜋}{3})$ and decreasing on $(\frac{𝜋}{3},\frac{𝜋}{2})$.
4. $𝑓$ is decreasing on $(\frac{𝜋}{4},\frac{𝜋}{3})$ and increasing on $(\frac{𝜋}{3},\frac{𝜋}{2})$.

1. $\left|𝑥\right|$
2. $|𝑥{|}^{\frac{1}{2}}$
3. $\sin \left|𝑥\right|$
4. $\cos \left|𝑥\right|$

1. $\frac{𝑔ℎ}{2(𝑢+𝑣)}$
2. $\frac{𝑢+𝑣}{2}$
3. $\frac{{𝑢}^2+{𝑣}^2}{2(𝑢+𝑣)}$
4. $\frac{{𝑢}^2+𝑔ℎ}{2(𝑢+𝑣)}$

1. $(1-𝜂)/𝜂$
2. $𝜂/(1-𝜂)$
3. $𝜂$
4. $1/𝜂$

1. $1/2$
2. 4
3. 8
4. 1

1. $\frac{{𝑣}_2-{𝑣}_1}{{𝑣}_1}$
2. $\frac{{𝑣}_2-{𝑣}_1}{{𝑣}_2}$
3. $\frac{{𝑣}_2}{{𝑣}_1}$
4. $\frac{{𝑣}_1}{{𝑣}_2}$

1. ${𝑃}_2={𝑃}_1/4$
2. ${𝑃}_2=2{𝑃}_1$
3. ${𝑃}_2={𝑃}_1$
4. ${𝑃}_2={𝑃}_1/2$

1. ${\overrightarrow{𝐹}}_{\mathrm{AB}}={\overrightarrow{𝐹}}_{\mathrm{BA}}$
2. ${\overrightarrow{𝐹}}_{\mathrm{AB}}=-{\overrightarrow{𝐹}}_{\mathrm{BA}}$
3. ${\overrightarrow{𝐹}}_{\mathrm{AB}}=2{\overrightarrow{𝐹}}_{\mathrm{BA}}$
4. ${\overrightarrow{𝐹}}_{\mathrm{AB}}=-2{\overrightarrow{𝐹}}_{\mathrm{BA}}$

1. 0
2. $\frac{𝜋}{𝜔}$
3. $\frac{𝜋}{2𝜔}$
4. $\frac{𝜋}{4𝜔}$

1. ${𝑛}_{𝑒}={𝑛}_{ℎ}$
2. ${𝑛}_{𝑒}>{𝑛}_{𝑒}^{\left(0\right)}$
3. ${𝑛}_{ℎ}>{𝑛}_{ℎ}^{\left(0\right)}$
4. ${𝑛}_{𝑒}^{\left(0\right)}$ and ${𝑛}_{ℎ}^{\left(0\right)}$ are independent of temperature

1. $\frac{2𝛼{𝑇}^2}{9}$
2. $\frac{4𝛼{𝑇}^2}{9}$
3. $\frac{8𝛼{𝑇}^2}{9}$
4. $\frac{7𝛼{𝑇}^2}{9}$

Two fixed point particles, each of charge $+𝑞$, are separated by a distance $2𝐿$. Another point charge $+𝑞$ of mass $𝑚$ is oscillating about its equilibrium position as indicated in the figure below. The time period of oscillation is given by $𝑇=$ $2{𝜋}^{3/2}𝛼\sqrt{𝑚}/𝑞$. Given that ${𝜖}_0$ is the

permittivity of free space, which of the following options is the dimensionally correct expression for $𝛼$ in SI units?

1. ${𝜖}_0^{3/2}𝐿$
2. ${𝜖}_0^{1/2}𝐿$
3. ${𝜖}_0^{3/2}{𝐿}^{1/2}$
4. ${𝜖}_0^{1/2}{𝐿}^{3/2}$

Transcription note: Restored the diagram from the 2023 paper: both fixed charges are +q. The secondary diagram incorrectly labelled one as +2q.

$\text{ What is the effective resistance between }𝐴\text{ and }𝐵\text{ in the circuit shown below? }$

1. $𝑅/3$
2. $2R/3$
3. $4R/3$
4. $𝑅/6$

1. 2500 Kj
2. 2000 kJ
3. 1000 kJ
4. 500 kJ

Two spherical bodies A and B each of mass $𝑀$ and radius $𝑅$ are located such that their centers are apart by a distance of $4𝑅$ as shown in the figure. An object $𝐶$ of mass $𝑚$ is thrown from the surface of A directly towards the center of B with a speed ${𝑣}_0=2{𝑣}_{\text{min }}$, where ${𝑣}_{𝑚}$ in is the minimum speed needed for $𝐶$ to reach the surface of $𝐵$. Given that $𝐺$ is the universal gravitational constant, how does the speed $𝑣\left(𝑥\right)$ of C change as a function of its distance from the center of A?

1. $𝑣\left(𝑥\right)=\frac{2\sqrt{2𝐺𝑀𝑅}}{{𝑥}^{\frac{1}{2}}(4𝑅-𝑥{)}^{\frac{1}{2}}}$
2. $𝑣\left(𝑥\right)=\frac{2𝑅\sqrt{2𝐺𝑀𝑅}}{𝑥(4𝑅-𝑥)}$
3. $𝑣\left(𝑥\right)=\frac{\sqrt{2𝐺𝑀𝑅}}{{𝑥}^{\frac{1}{2}}(4𝑅-𝑥{)}^{\frac{1}{2}}}$
4. $𝑣\left(𝑥\right)=\frac{6{𝑅}^2\sqrt{2𝐺𝑀𝑅}}{{𝑥}^{\frac{3}{2}}(4𝑅-𝑥{)}^{\frac{3}{2}}}$

1. $2𝑟$
2. $𝑟/2$
3. $𝑟$
4. $\sqrt{2}𝑟$

Transcription note: Restored the reduced Planck constant in the stated angular momentum 2ℏ using the 2023 paper.

1. 2
2. 3
3. 4
4. 5