IISER IAT 2022 question paper

1. A.
   i and t; ii and r; iii and s; iv and q
2. B.
   i and r; ii and t; iii and s; iv and q
3. C.
   i and u; ii and r; iii and q; iv and p
4. D.
   i and u; ii and r; iii and s; iv and p

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1. A.
   ii; i; iii; iv
2. B.
   i; ii; iii; iv
3. C.
   i; iii; iv; ii
4. D.
   ii; iii; i; iv

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1. A.
   Brown seeds with $Ww$ embryo
2. B.
   White seeds with $Ww$ embryo
3. C.
   Brown seeds with $ww$ embryo
4. D.
   White seeds with $ww$ embryo

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1. A.
   Double stranded RNA
2. B.
   Single stranded RNA
3. C.
   Double stranded DNA
4. D.
   Single stranded DNA

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1. A.
   It is colourless and has similar mineral composition as of plasma.
2. B.
   It is the interstitial fluid generated by the passage of liquid between the cells of the capillary.
3. C.
   It remains as an interstitial fluid and is never put back into circulation.
4. D.
   Fat digested in the intestine is absorbed through the lymph.

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1. A.
   White matter
2. B.
   Muscle spindle
3. C.
   Dorsal root ganglion
4. D.
   Gray matter

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1. A.
   They stimulate atrial wall to release atrial natriuretic factor to induce vasodilation and reduce blood pressure.
2. B.
   They stimulate pituitary gland to facilitate the secretion of mineralocorticoids to adjust the changes in mineral composition of the body fluid.
3. C.
   They stimulate hypothalamus to facilitate the release of the anti-diuretic hormone and increase water reabsorption.
4. D.
   They stimulate renin production to induce vasoconstriction and increase blood pressure.

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1. A.
   Linkage
2. B.
   Partial dominance
3. C.
   Incomplete dominance
4. D.
   Pleiotropy

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1. A.
   25
2. B.
   0
3. C.
   200
4. D.
   100

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1. A.
   Platyhelminthes
2. B.
   Hemichordata
3. C.
   Mollusca
4. D.
   Arthropoda

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1. A.
   $P > S > Q > R$
2. B.
   $R > Q > S > P$
3. C.
   $P > Q > S > R$
4. D.
   $Q > P > S > R$

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1. A.
   0.9 and 0.1
2. B.
   0.3 and 0.7
3. C.
   0.7 and 0.3
4. D.
   0.1 and 0.9

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1. A.
   Denaturation step in PCR substitutes for the replication fork and Taq polymerase extends DNA only in the 5' to 3' direction.
2. B.
   The replication fork is formed and Taq polymerase extends DNA in both 3' to 5' and 5' to 3' direction.
3. C.
   Denaturation step in PCR substitutes for the replication fork and Taq polymerase extends DNA only in the 3' to 5' direction.
4. D.
   The replication fork is formed and DNA ligase activity of the Taq polymerase joins the discontinuous fragments.

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1. A.
   ETC moves $\mathrm{H^+}$ from MM up into IMS; the ATP synthase head sits on the IMS side, $\mathrm{H^+}$ passes through ATP synthase from IMS down into MM, and ADP becomes ATP on the IMS side
2. B.
   ETC moves $\mathrm{H^+}$ from IMS down into MM; the ATP synthase head sits on the MM side, $\mathrm{H^+}$ passes through ATP synthase from MM up into IMS, and ADP becomes ATP on the MM side
3. C.
   ETC moves $\mathrm{H^+}$ from IMS down into MM; the ATP synthase head sits on the IMS side, $\mathrm{H^+}$ passes through ATP synthase from MM up into IMS, and ADP becomes ATP on the IMS side
4. D.
   ETC moves $\mathrm{H^+}$ from MM up into IMS; the ATP synthase head sits on the MM side, $\mathrm{H^+}$ passes through ATP synthase from IMS down into MM, and ADP becomes ATP on the MM side

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1. A.
   Early metaphase
2. B.
   Late anaphase
3. C.
   Metaphase
4. D.
   Early anaphase

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1. A.
   $\mathrm{K_3[Fe(CN)_6]}$, $\mathrm{H_2O}$ and $\mathrm{O_2}$
2. B.
   $\mathrm{K_3[Fe(CN)_6]}$ and $\mathrm{H_2O}$
3. C.
   $\mathrm{K_4[Fe(CN)_5(OH)]}$ and $\mathrm{HCN}$
4. D.
   $\mathrm{K_3[Fe(CN)_6]}$ and $\mathrm{KOH}$

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1. A.
   $(t_{2g})^6(e_g)^4$
2. B.
   $(t_{2g})^6(e_g)^2$
3. C.
   $(t_{2g})^4(e_g)^2$
4. D.
   $(t_{2g})^3(e_g)^0$

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1. A.
   5-membered rings are fused with 6-membered rings ONLY.
2. B.
   5-membered rings are fused with both 5-membered and 6-membered rings.
3. C.
   6-membered rings are fused with 5-membered rings ONLY.
4. D.
   6-membered rings are fused with 6-membered rings ONLY.

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1. A.
   3, 4
2. B.
   3, 5
3. C.
   4, 5
4. D.
   1, 4

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1. A.
   $\frac{1}{4\sqrt{2\pi}}\left(\frac{1}{a_0}\right)^{3/2}\left(2-\frac{r}{a_0}\right)e^{-r/2a_0}$
2. B.
   $\frac{1}{\sqrt{6\pi}}\left(\frac{1}{a_0}\right)^{3/2}\left(\frac{r}{a_0}\right)e^{-r/2a_0}$
3. C.
   $\frac{1}{\sqrt{3\pi}}\left(\frac{1}{a_0}\right)^{3/2}\left(3-\frac{2r}{a_0}+\frac{2r^2}{9a_0^2}\right)e^{-r/3a_0}$
4. D.
   $\frac{1}{\sqrt{\pi}}\left(\frac{1}{a_0}\right)^{3/2}e^{-r/2a_0}$

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1. A.
   M and O only
2. B.
   M, N, O, and P
3. C.
   M, N and O only
4. D.
   N and P only

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1. A.
   N, O and P only
2. B.
   N and P only
3. C.
   N and O only
4. D.
   M, O and P only

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1. A.
   $\mathrm{C_6H_5NH_2}$
2. B.
   $\mathrm{C_6H_5CH_2CH_3}$
3. C.
   $\mathrm{C_6H_6}$
4. D.
   $\mathrm{C_6H_5OCH_2CH_3}$

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1. A.
   4-methylphenol; 1-(2-hydroxy-5-methylphenyl)ethan-1-one; sodium 2-hydroxy-5-methylbenzoate
2. B.
   methoxybenzene; 1-(4-methoxyphenyl)ethan-1-one; sodium 4-methoxybenzoate
3. C.
   methoxybenzene; 1-(2-methoxyphenyl)ethan-1-one; sodium 2-hydroxybenzoate
4. D.
   methoxybenzene; 1-(4-methoxyphenyl)ethan-1-one; 1-(3-chloro-4-methoxyphenyl)ethan-1-one

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1. A.
   $\mathrm{4\text{-}BrC_6H_4CH{=}CHCH(CH_3)_2}$
2. B.
   $\mathrm{C_6H_5CHBrCH_2CH(CH_3)_2}$
3. C.
   $\mathrm{C_6H_5CH{=}CHCH(CH_3)CH_2Br}$
4. D.
   $\mathrm{C_6H_5CH_2CHBrCH(CH_3)_2}$

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1. A.
   98% X and 2% Y by weight
2. B.
   24% X and 76% Y by weight
3. C.
   Only X
4. D.
   Only Y

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1. A.
   $K_p/K_c$ against T: a curve starting at the origin and rising ever more steeply (concave upward)
2. B.
   $K_p/K_c$ against T: a straight line falling from a positive intercept
3. C.
   $K_p/K_c$ against T: a straight line rising from a positive intercept
4. D.
   $K_p/K_c$ against T: a horizontal straight line at a constant positive value

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1. A.
   $\mathrm{ML^2T^{-2}}$
2. B.
   $\mathrm{MLT^{-2}}$
3. C.
   $\mathrm{ML^{-1}T^{-2}}$
4. D.
   $\mathrm{ML^2T^{-1}}$

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1. A.
   688.0
2. B.
   0.688
3. C.
   0.605
4. D.
   605.0

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1. A.
   1,2-difluorobenzene $<$ 1,4-difluorobenzene $<$ 1,2-dichlorobenzene $<$ 1,3-dichlorobenzene
2. B.
   1,2-difluorobenzene $<$ 1,2-dichlorobenzene $<$ 1,3-dichlorobenzene $<$ 1,4-difluorobenzene
3. C.
   1,4-difluorobenzene $<$ 1,3-dichlorobenzene $<$ 1,2-dichlorobenzene $<$ 1,2-difluorobenzene
4. D.
   1,3-dichlorobenzene $<$ 1,2-dichlorobenzene $<$ 1,4-difluorobenzene $<$ 1,2-difluorobenzene

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1. A.
   $9/13$
2. B.
   $8/13$
3. C.
   $7/13$
4. D.
   $19/26$

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1. A.
   $2^{33}$
2. B.
   $-2^{31}$
3. C.
   $-2^{33}$
4. D.
   $2^{31}$

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1. A.
   25
2. B.
   35
3. C.
   105
4. D.
   55

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1. A.
   8 elements
2. B.
   2 elements
3. C.
   Infinitely many elements
4. D.
   4 elements

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1. A.
   $17.298^\circ\mathrm{C}$
2. B.
   $17.471^\circ\mathrm{C}$
3. C.
   $15.049^\circ\mathrm{C}$
4. D.
   $17.135^\circ\mathrm{C}$

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1. A.
   $R$ is an equivalance relation
2. B.
   $R$ is reflexive and transitive but not symmetric
3. C.
   $R$ is reflexive and symmetric but not transitive
4. D.
   $R$ is symmetric and transitive but not reflexive

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1. A.
   $\frac{1}{6}$
2. B.
   $\frac{1}{12}$
3. C.
   $\frac{1}{2}$
4. D.
   $\frac{1}{3}$

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1. A.
   2
2. B.
   0
3. C.
   1
4. D.
   $\frac{1}{2}$

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1. A.
   Local minima at $x = a$ if $a > 0$
2. B.
   Local maxima at $x = a$ if $a > 0$
3. C.
   Local maxima at $x = a$ if $a < 0$
4. D.
   A point of inflection at $x = a$

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1. A.
   $(-1)^k$
2. B.
   0
3. C.
   1
4. D.
   $-1$

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1. A.
   0, 2
2. B.
   $7/2$, 0
3. C.
   $-2$, 2
4. D.
   4, $-2$

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1. A.
   $\frac{\pi}{6}$
2. B.
   $\frac{5\pi}{6}$
3. C.
   $\frac{3\pi}{4}$
4. D.
   $\frac{\pi}{4}$

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1. A.
   Decreasing on the interval $(-3, 0)$
2. B.
   Increasing on the interval $(0, 2)$
3. C.
   Increasing on the interval $(2, 3)$
4. D.
   Decreasing on the interval $(3, \infty)$

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1. A.
   $\log\left(\frac{100^{99}}{98!}\right)$
2. B.
   $\log\left(\frac{100^{98}}{98!}\right)$
3. C.
   $\log\left(\frac{100^{99}}{99!}\right)$
4. D.
   $\log\left(\frac{100^{98}}{99!}\right)$

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1. A.
   $y'' - 2y' - y = 0$
2. B.
   $y'' - 2y' + y = 0$
3. C.
   $y'' - y' - y = 0$
4. D.
   $y'' - y' + y = 0$

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1. A.
   $\frac{S_{13}}{S_{12}} = \frac{\exp[\alpha(t_3 - t_1)] - 1}{\exp[\alpha(t_2 - t_1)] - 1}$
2. B.
   $\frac{S_{13}}{S_{12}} = \frac{\exp[\alpha(t_3 - t_1)]}{\exp[\alpha(t_2 - t_1)]}$
3. C.
   $\frac{S_{13}}{S_{12}} = \frac{\log[\alpha(t_3 - t_1)]}{\log[\alpha(t_2 - t_1)]}$
4. D.
   $\frac{S_{13}}{S_{12}} = \frac{\log[\alpha(t_3 - t_1)] - 1}{\log[\alpha(t_2 - t_1)] - 1}$

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1. A.
   $\sqrt{\frac{7gR}{2}}$.
2. B.
   $\sqrt{7gR}$.
3. C.
   $\sqrt{6gR}$.
4. D.
   $4\sqrt{gR}$.

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1. A.
   $\mu = \tan(\theta)$
2. B.
   $\mu = \tan(\theta/2)$
3. C.
   $\mu = \cot(\theta)$
4. D.
   $\mu = \cot(\theta/2)$

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1. A.
   $1/4$
2. B.
   1
3. C.
   $2/3$
4. D.
   $3/4$

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1. A.
   $W + (\rho - \rho_b) g L^3$
2. B.
   $W + \rho g L^3$
3. C.
   $W + (\rho_b - \rho) g L^3$
4. D.
   $W + \rho_b g L^3$

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1. A.
   $2P$
2. B.
   $4P$
3. C.
   $P$
4. D.
   $\frac{P}{2}$

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1. A.
   $f \propto L^{-1}$
2. B.
   $f \propto L^{-2}$
3. C.
   $f \propto L^2$
4. D.
   $f \propto L$

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1. A.
   V constant from 0 to r1, then falling along a curve from r1 to zero at r2
2. B.
   V constant from 0 to r1, then falling along a straight line to zero at r2
3. C.
   V constant at a low level from 0 to r1, jumping up at r1 to a higher value, then falling along a curve to zero at r2
4. D.
   V zero from 0 to r1, jumping up at r1, then falling along a curve to zero at r2

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1. A.
   $\frac{4}{3}a$
2. B.
   $\frac{3}{2}a$
3. C.
   $\frac{2}{3}a$
4. D.
   $a$

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1. A.
   $a_1$ corresponds to an inductor, $a_2$ corresponds to a resistor, $a_3$ corresponds to a capacitor.
2. B.
   $a_1$ corresponds to an inductor, $a_2$ corresponds to a capacitor, $a_3$ corresponds to a resistor.
3. C.
   $a_1$ corresponds to a resistor, $a_2$ corresponds to an inductor, $a_3$ corresponds to a capacitor.
4. D.
   $a_1$ corresponds to a resistor, $a_2$ corresponds to a capacitor, $a_3$ corresponds to an inductor.

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1. A.
   $10\ \mu\mathrm{C}$
2. B.
   $15\ \mu\mathrm{C}$
3. C.
   $\frac{60}{7}\ \mu\mathrm{C}$
4. D.
   $\frac{40}{7}\ \mu\mathrm{C}$

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1. A.
   At point D
2. B.
   At point C
3. C.
   At point B
4. D.
   At point A

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