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IAT IISER 2022
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60
Duration
180 mins
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IAT IISER- Previous Year Papers
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2022 · Physics · Mechanics · Circular Motion
IAT IISER 2022
A point mass $m$ attached to a massless string is undergoing circular motion in a vertical plane. The length of the string is $R$ and the acceleration due to gravity is $g$. If the minimum value of the tension in the string is 2 mg , the maximum speed of this circular motion of the point mass is
2022 · Mathematics · Algebra · Probability
IAT IISER 2022
A randomly chosen card from a deck of 52 cards is given to be a black card (Spade or Club). What is the probability that it is either a face card (King, Queen or Jack) or a Spade?
2022 · Chemistry · Physical Chemistry · Liquid Solution
IAT IISER 2022
2 g of naphthoic acid (molecular weight $=172 \mathrm{~g} \mathrm{~mol}^{-} 1$ ) dissolved in 20 mL of benzene shows a freezing point depression of 2 K . For benzene, the freezing point depression constant, $K_f=5$ $\mathrm{K} \mathrm{kg} \mathrm{mol}{ }^{-1}$ and the density is $0.88 \mathrm{~g} \mathrm{~mL}^{-1}$. What is the magnitude of the van't Hoff factor?
2022 · Biology · Botany · Cell Cycle And Cell Division
IAT IISER 2022
Let ' $X$ ' be the perpendicular distance from the centromere of each chromosome to the equatorial plane of a human cell. Which of the following stages of the cell cycle is most likely to have the HIGHEST average value of $X^{\prime}$ ?
2022 · Physics · Mechanics · Motion In A Straight Line
IAT IISER 2022
A particle experiences an acceleration $\vec{a}=\alpha \vec{v}$, where $\vec{v}$ is the velocity of the particle and $\alpha$ is a constant. If the distances traveled by the particle in the time intervals $t_2-t_1$ and $t_3-t_1$ are $S_{12}$ and $S_{13}$, respectively, which of the following relations is true?
2022 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2022
Let $A$ be the matrix $\left[\begin{array}{ccc}\cos \theta & 0 & -\sin \theta \\ 1 & 1 & 1 \\ \sin \theta & 0 & \cos \theta\end{array}\right]$. For any natural number $k$, the determinant of $A^k$ is