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Exam Details

IAT IISER 2023

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Questions 60
Duration 180 mins
Package IAT IISER- Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 60 questions in this paper.

Subject distribution

Physics
15 Qs
Chemistry
15 Qs
Mathematics
15 Qs
Biology
15 Qs

Topic distribution

Botany
11 Qs
Mechanics
8 Qs
Algebra
7 Qs
Calculus
7 Qs
Physical Chemistry
5 Qs
Inorganic Chemistry
5 Qs
Organic Chemistry
5 Qs
Electromagnetism
4 Qs
Zoology
4 Qs
Modern Physics
2 Qs
Optics
1 Qs
Coordinate Geometry
1 Qs

Subtopic distribution

Motion In A Straight Line
2 Qs
Units And Measurement And Dimensions
2 Qs
Current Electricity
2 Qs
Metallurgy
2 Qs
Application Of Derivatives
2 Qs
Definite Integration
2 Qs
Biomolecules
2 Qs
Principles Of Inheritance And Variation
2 Qs
Fluid Mechanics
1 Qs
Gravitation
1 Qs
Heat And Thermodynamics
1 Qs
Electrostatics
1 Qs

Difficulty distribution

Not classified 60 100%

Question type distribution

Multiple Choices 60 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2023 · Physics · Mechanics · Motion In A Straight Line
IAT IISER 2023
A ball is thrown vertically upwards with an initial speed $u$ from a height $h$ above the ground. The ball eventually hits the ground with a speed $v$. The acceleration due to gravity is $g$ and air resistance is negligible. What is the average speed of the ball over its entire trajectory?
A
$\frac{g h}{2(u+v)}$
B
$\frac{u+v}{2}$
C
$\frac{u^2+v^2}{2(u+v)}$
D
$\frac{u^2+g h}{2(u+v)}$
2
2023 · Chemistry · Physical Chemistry · Thermodynamics
IAT IISER 2023
Consider the following reaction: $\mathrm{CH}_4(\mathrm{~g}) \rightarrow \mathrm{C}(\mathrm{g})+4 \mathrm{H}(\mathrm{g}) ; \Delta_a H^0=1665 \mathrm{kJmol}^{-} 1$ Which of the statements is FALSE?
A
$\Delta_a H^0$ is the mean bond enthalpy of a C-H bond.
B
All four $\mathrm{C}-\mathrm{H}$ bonds in $\mathrm{CH}_4$ are identical in bond length and energy.
C
The energy required to break individual $\mathrm{C}-\mathrm{H}$ bonds in successive steps is different.
D
Mean C-H bond enthalpies differ slightly from compound to compound
3
2023 · Mathematics · Algebra · Probability
IAT IISER 2023
Consider three biased coins. Let the probability of getting head be $\frac{1}{3}$ and the probability of getting tail be $\frac{2}{3}$ in each of the coins. Consider the experiment of tossing the threee coins one by one, and the following events: $E$ :"At least two heads show up" F:"First coin shows tail". What is the conditional probability of $E$ given that $F$ has already occurred?
A
$1 / 9$
B
$2 / 9$
C
$1 / 4$
D
$4 / 9$
4
2023 · Biology · Botany · Biomolecules
IAT IISER 2023

Match the biomolecules given in Column I with their corresponding chemical nature given in Column II.

Column I Column II
P. Insulin (i) Secondary metabolite
Q. Inulin (ii) Homopolymer
R. Lectin (iii) Quaternary ammonium derivative
S. Lecithin (iv) Hetropolymer
A
P-(i); Q-(iii); R-(ii); S-(iv)
B
P-(ii); Q-(iv); R-(iii); S-(i)
C
P-(iii); Q-(i); R-(iv); S-(ii)
D
P-(iv); Q-(ii); R-(i); S-(iii)
5
2023 · Physics · Mechanics · Units And Measurement And Dimensions
IAT IISER 2023
A quantity has been measured to have a value of 0.00230 in some units. How many significant figures does the measured value have?
A
2
B
3
C
4
D
5
6
2023 · Chemistry · Physical Chemistry · Atomic Structure
IAT IISER 2023

$$\text { How many radial nodes does } \mathrm{Ca}^{+} \text {have in its } 4 \text { s orbital? }$$

A
0
B
1
C
2
D
3