IISER IAT 2019 question paper

1. A.
   Karyogamy
2. B.
   Plasmogamy
3. C.
   Apogamy
4. D.
   Karyokinesis

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1. A.
   Polysepalous
2. B.
   Syncarpous
3. C.
   Gamosepalous
4. D.
   Gamopetalous

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1. A.
   Blood is a connective tissue which does not secrete collagen
2. B.
   Tendons are a type of dense, irregular connective tissue
3. C.
   Adipose tissue is an example of a fluid connective tissue
4. D.
   Saliva is secreted by an endocrine gland

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1. A.
   a-3, b-1, c-4, d-2
2. B.
   a-4, b-3, c-1, d-2
3. C.
   a-2, b-1, c-3, d-4
4. D.
   a-4, b-1, c-3, d-2

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1. A.
   Centrioles
2. B.
   Fimbriae
3. C.
   Microtubules
4. D.
   Flagella

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1. A.
   Between stroma and intermembrane space of chloroplasts
2. B.
   Between thylakoid lumen and intermembrane space of chloroplasts
3. C.
   Between stroma and thylakoid lumen
4. D.
   Between inner and outer chloroplast membranes

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1. A.
   Generation of an action potential in the muscles
2. B.
   Release of $\mathrm{Ca^{2+}}$ from the sarcoplasmic reticulum
3. C.
   Binding of ATP molecules to the myosin head
4. D.
   Shifting of tropomyosin to expose the myosin binding sites on actin filaments

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1. A.
   P wave will sustain longer with smaller amplitude
2. B.
   The QRS complex will be absent
3. C.
   The T wave will sustain longer with smaller amplitude
4. D.
   The distance between the P wave and the QRS complex will be smaller

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1. A.
   III and IV
2. B.
   I and II
3. C.
   II and III
4. D.
   I and IV

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1. A.
   X-linked recessive
2. B.
   Y-linked
3. C.
   X-linked dominant
4. D.
   Mitochondrial

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1. A.
   25% hybrid and 75% light
2. B.
   50% hybrid and 50% light
3. C.
   0% hybrid and 100% light
4. D.
   12.5% hybrid and 87.5% light

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1. A.
   Continuous curve the same shape as the dashed curve but shifted towards smaller body size
2. B.
   Continuous curve with the same mean as the dashed curve but narrower and taller
3. C.
   Continuous curve the same shape as the dashed curve but shifted towards larger body size
4. D.
   Continuous curve with two peaks, one either side of the single dashed peak, dipping at the middle

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1. A.
   Both are active immunity
2. B.
   Both are passive immunity
3. C.
   Active and passive immunity, respectively
4. D.
   Passive and active immunity, respectively

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1. A.
   Denaturation, annealing, extension
2. B.
   Annealing, denaturation, extension
3. C.
   Extension, annealing, denaturation
4. D.
   Denaturation, extension, annealing

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1. A.
   Alien-species invasion
2. B.
   Co-extinction
3. C.
   Over-exploitation
4. D.
   Habitat loss and fragmentation

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1. A.
   $\mathrm{d}_{F-F} < \mathrm{d}_{Cl-Cl}$ and $\mathrm{BDE}_{F-F} < \mathrm{BDE}_{Cl-Cl}$
2. B.
   $\mathrm{d}_{F-F} > \mathrm{d}_{Cl-Cl}$ and $\mathrm{BDE}_{F-F} > \mathrm{BDE}_{Cl-Cl}$
3. C.
   $\mathrm{d}_{F-F} < \mathrm{d}_{Cl-Cl}$ and $\mathrm{BDE}_{F-F} > \mathrm{BDE}_{Cl-Cl}$
4. D.
   $\mathrm{d}_{F-F} > \mathrm{d}_{Cl-Cl}$ and $\mathrm{BDE}_{F-F} < \mathrm{BDE}_{Cl-Cl}$

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1. A.
   high-spin and green
2. B.
   low-spin and green
3. C.
   low-spin and blue
4. D.
   high-spin and yellow

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1. A.
   Na and Mg
2. B.
   Yb and Ti
3. C.
   Fe and Mn
4. D.
   B and Al

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

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1. A.
   CN = 4, V = 4 and OS = +3
2. B.
   CN = 4, V = 3 and OS = +4
3. C.
   CN = 4, V = 3 and OS = +3
4. D.
   CN = 3, V = 3 and OS = +4

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1. A.
   solubilization
2. B.
   degradation
3. C.
   denaturation
4. D.
   polymerization

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1. A.
   $\mathrm{C_6H_5CH{=}CHNH_2}$
2. B.
   $\mathrm{C_6H_5C{\equiv}CH}$
3. C.
   $\mathrm{C_6H_5C(OEt){=}CH_2}$
4. D.
   $\mathrm{C_6H_5CH{=}CH_2}$

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1. A.
   2,4,6-tribromoaniline
2. B.
   3-bromobenzamide
3. C.
   3,4-dibromoaniline
4. D.
   2,6-dibromoaniline

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1. A.
   $\mathrm{CH_3COOH}$
2. B.
   $\mathrm{OHC{-}CHO}$
3. C.
   $\mathrm{CH_3CH_2OCH_2CH_2Cl}$
4. D.
   $\mathrm{CH_3CHO}$

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1. A.
   cyclopenta-1,3-diene
2. B.
   cyclopropene
3. C.
   cycloheptatrienyl cation
4. D.
   cyclooctatetraene

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

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1. A.
   Equilibrium between water vapour and liquid water in a closed container
2. B.
   Equilibrium attained during acid catalysed hydrolysis of ethyl acetate
3. C.
   Equilibrium between solid $\mathrm{Ca(OH)_2}$ and its saturated solution
4. D.
   Equilibrium attained on heating solid $\mathrm{CaCO_3}$ in a closed container

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1. A.
   $763\ \mathrm{Jmol^{-1}}$
2. B.
   $-790\ \mathrm{Jmol^{-1}}$
3. C.
   $-863\ \mathrm{Jmol^{-1}}$
4. D.
   $500\ \mathrm{Jmol^{-1}}$

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1. A.
   $-22.2$
2. B.
   $-18.5$
3. C.
   $-29.3$
4. D.
   $-26.8$

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

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1. A.
   $\frac{1+(n-2)2^n}{2^n-1}$.
2. B.
   $\frac{1+n2^{n-1}-2^n}{2^n-1}$.
3. C.
   $\frac{1+n2^{n-1}-2^n}{2^{n-1}+1}$.
4. D.
   $\frac{1+(n-1)2^n-2^{n-1}}{2^{n-1}+1}$.

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1. A.
   4.
2. B.
   0.
3. C.
   1.
4. D.
   2.

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1. A.
   $A^2 = 0$.
2. B.
   $A$ is symmetric.
3. C.
   $A$ is skew symmetric.
4. D.
   $A^2 = A$.

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1. A.
   17.
2. B.
   18.
3. C.
   16.
4. D.
   20.

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

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1. A.
   $f(x) = \pi^x|\sin \pi x|$.
2. B.
   $f(x) = \pi^x|\cos \pi x|$.
3. C.
   $f(x) = \pi^x\left(1 + \left|\tan \frac{\pi x}{10}\right|\right)$.
4. D.
   $f(x) = \frac{\pi^x}{|x|+1}$.

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1. A.
   $\lim\limits_{x \to \infty} f(x) = \infty$ and $\lim\limits_{x \to -\infty} f(x) = \infty$.
2. B.
   $\lim\limits_{x \to \infty} f(x) = 0$ and $\lim\limits_{x \to -\infty} f(x) = \infty$.
3. C.
   $\lim\limits_{x \to \infty} f(x) = 0$ and $\lim\limits_{x \to -\infty} f(x) = -\infty$.
4. D.
   $\lim\limits_{x \to \infty} f(x) = -\infty$ and $\lim\limits_{x \to -\infty} f(x) = \infty$.

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1. A.
   is $\frac{1}{2018}$.
2. B.
   is $\frac{1}{2020}$.
3. C.
   is $\frac{1}{2019}$.
4. D.
   does not exist.

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1. A.
   5.
2. B.
   7.
3. C.
   6.
4. D.
   8.

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1. A.
   $\alpha$.
2. B.
   $\alpha e^{-\alpha}$.
3. C.
   $\frac{\alpha}{2}$.
4. D.
   $\frac{e^{-\alpha}}{2}$.

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

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1. A.
   5.
2. B.
   6.
3. C.
   16.
4. D.
   7.

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1. A.
   $\frac{a}{n}$.
2. B.
   $\frac{na}{n+1}$.
3. C.
   $\frac{(n-1)a}{n+1}$.
4. D.
   $\frac{(n-1)a}{n}$.

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1. A.
   27.
2. B.
   24.
3. C.
   36.
4. D.
   48.

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1. A.
   $\frac{3}{1000}$.
2. B.
   $\frac{1}{200}$.
3. C.
   $\frac{1}{1000}$.
4. D.
   $\frac{3}{500}$.

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1. A.
   $r\sqrt{2Em}$
2. B.
   $r\sqrt{-2Em}$
3. C.
   $r\sqrt{-Em/2}$
4. D.
   $r\sqrt{Em/2}$

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1. A.
   $\dfrac{Q}{18\epsilon_\circ}$
2. B.
   $\dfrac{Q}{12\epsilon_\circ}$
3. C.
   $\dfrac{Q}{6\epsilon_\circ}$
4. D.
   $\dfrac{Q}{24\epsilon_\circ}$

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1. A.
   $\lambda \propto \sqrt{T}$
2. B.
   $\lambda \propto 1/T^{\frac{3}{2}}$
3. C.
   $\lambda \propto 1/\sqrt{T}$
4. D.
   $\lambda \propto T^{\frac{3}{2}}$

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1. A.
   $2gt^2v_\circ\cos\phi$
2. B.
   $\frac{1}{2}gt^2v_\circ\cos\phi$
3. C.
   $2gt^2v_\circ\sin\phi$
4. D.
   $\frac{1}{2}gt^2v_\circ\sin\phi$

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1. A.
   $B$ experiences a net force along $+x$ axis.
2. B.
   $B$ experiences a net anticlockwise torque.
3. C.
   $B$ experiences a net force along $-x$ axis.
4. D.
   $B$ experiences a net clockwise torque.

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1. A.
   $\dfrac{3PV}{2N}$
2. B.
   $\dfrac{PV}{2N}$
3. C.
   $\dfrac{3PV}{N}$
4. D.
   $\dfrac{2PV}{3N}$

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1. A.
   $\sqrt{\dfrac{hG}{c^3}}$
2. B.
   $\sqrt{\dfrac{hc^5}{G}}$
3. C.
   $\dfrac{hc^5}{G}$
4. D.
   $\sqrt{\dfrac{G}{hc^5}}$

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1. A.
   $t_L = 2t_R$
2. B.
   $t_L = t_R/2$
3. C.
   $t_L = t_R$
4. D.
   $t_L = 4t_R$

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1. A.
   $C_\circ/2$
2. B.
   $4C_\circ$
3. C.
   $C_\circ$
4. D.
   $C_\circ/\sqrt{2}$

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1. A.
   $t \to \infty$
2. B.
   $t = 1/RC$
3. C.
   $t = 2\pi RC$
4. D.
   $t = RC$

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1. A.
   $2.1 \times 10^6$ GHz
2. B.
   $5.5 \times 10^6$ GHz
3. C.
   $3.3 \times 10^6$ GHz
4. D.
   $1.7 \times 10^6$ GHz

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1. A.
   Two distinct adiabats never cross each other.
2. B.
   Two distinct isotherms never cross each other.
3. C.
   An isotherm and an adiabat intersect at one point.
4. D.
   An isotherm and an adiabat intersect at more than one point.

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1. A.
   The cylinder.
2. B.
   The sphere.
3. C.
   The cube.
4. D.
   All three at the same rate.

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1. A.
   30.23 m
2. B.
   7.12 m
3. C.
   4.52 m
4. D.
   20.32 m

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1. A.
   $q' = -3\sqrt{3}q$
2. B.
   $q' = +3\sqrt{3}q$
3. C.
   $q' = +\sqrt{3}q$
4. D.
   $q' = -\sqrt{3}q$

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