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IAT IISER 2024
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60
Duration
180 mins
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IAT IISER- Previous Year Papers
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2024 · Physics · Mechanics · Rotational Motion
IAT IISER 2024
An inextensible cord of negligible mass passes over the rim of a solid disc of mass $M$ and radius $R$. The disc is free to rotate about an axis passing through the centre perpendicular to the plane of the screen, as shown in the figure. Two blocks of masses $M$ and $\widetilde{M} / 2$ are attached to the two free ends of the cord. Assume that there is no slipping of the cord on the disc. The acceleration due to gravity is $g$. What is the value of the angular acceleration of the disc?
2024 · Chemistry · Inorganic Chemistry · Coordination Compounds
IAT IISER 2024
Which of the following complexes exhibit(s) magnetic moment close to 2 BM ?
\(\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]\left(\mathrm{NO}_3\right)_2, \mathrm{~K}_2\left[\mathrm{MnCl}_4\right], \mathrm{K}_4\left[\mathrm{Mn}(\mathrm{CN})_6\right] \text {, and }\left[\mathrm{Ni}(\mathrm{CO})_4\right]\)
2024 · Mathematics · Algebra · Probability
IAT IISER 2024
A ship sets off on a voyage with three engines, labelled $A, B$, and $C$, which work independently. The ship can complete the voyage only if at least two of these engines keep working. The probability that engine $A$ breaks down is $1 / 4$, that engine $B$ breaks down is $1 / 4$, and that engine $C$ breaks down is $1 / 2$. What is the probability that the ship can complete the voyage?
2024 · Biology · Botany · Biotechnology Principles And Processes
IAT IISER 2024
Which of the following plasmid vectors can be used for cloning of a gene, with restriction enzymes BamHI and EcoRI, and ampicillin-containing nutrient agar for selection? [Ori - origin of replication; $\mathrm{Amp}^R$ - gene for ampicillin resistance]
A
B
C
D
2024 · Physics · Mechanics · Simple Harmonic Motion
IAT IISER 2024
Consider a simple pendulum undergoing simple harmonic motion with a time period $T$, and a fixed amplitude $\theta_0$ of angular oscillation. Its angular momentum about the point of suspension exhibits an oscillatory behaviour with an amplitude $A$. Which of the following relations between $A$ and $T$ is correct?
2024 · Chemistry · Physical Chemistry · Atomic Structure
IAT IISER 2024
The minimum energy needed to remove an electron from a metal corresponds to a wavelength of 500 nm . What is the total kinetic energy of all the photoelectrons ejected per second when the entire radiation from a 100 Watt bulb with a wavelength of 300 nm falls on the surface of the metal? [Planck's constant $=6.6 \times 10^{34} \mathrm{Js}$; speed of light $=3 \times 10^8 \mathrm{~ms}^{-1}$ ]