AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
Degree of hydrolysis and \( p H \) of a salt
\( \operatorname{say} N H_{4} C N \) is independent of
concentration of \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C} \boldsymbol{N} \)
Reason
The solution of \( N H_{4} C N \) in water has
\( \boldsymbol{p} \boldsymbol{H} \) slightly greater than \( \mathbf{7} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
\( (\boldsymbol{P} \cap \boldsymbol{Q}) \cup(\boldsymbol{Q} \cap \boldsymbol{R}) \)
A \( \cdot\{b, c, f\} \)
в. \( \{b, c, d\} \)
\( \mathbf{c} \cdot\{b, c, d, f\} \)
\( \mathbf{D} \cdot\{b, c, f, g\} \)
Subject: Chemistry
The absolute charge of the electron
is
A \( \cdot 1.1 \times 10^{11} \mathrm{C} \)
B . \( 1.6 \times 10^{14} \mathrm{C} \)
c. \( 1.6 \times 10^{-19} \mathrm{c} \)
D. \( 6.0 \times 10^{-21} \mathrm{c} \)
Subject: Maths
If \( \int_{-2}^{3} f(x) d x=5 \) and
\( \int_{1}^{3}\{2-f(x)\} d x=6 \)
then the value of \( \int_{-2}^{1} f(x) d x \) is?
A . -5
B. 3
c. -7
D. -
Subject: Chemistry
Consider the plots given below, for the
type of reaction \( \boldsymbol{n} \boldsymbol{A} \rightarrow \boldsymbol{B}+\boldsymbol{C} \). These
plots correspond to the reaction orders respectively:
A. 0,1,2
B . 1,2,0
\( c \cdot 3,2,1 \)
D. 1,0,2
Subject: Chemistry
Assertion
The gas is heated, if its temperature is less than its inversion temperature in
Joule-Thomson effect.
Reason
Heating effect in gas is noticed during
Joule-Thomson effect when \( \boldsymbol{T}>\boldsymbol{T}_{i} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
Line \( A B \) passes through point (1,2)
and intersects the positive \( x \) and \( y \) axes
at \( \boldsymbol{A}(\boldsymbol{a}, \boldsymbol{0}) \) and \( \boldsymbol{B}(\boldsymbol{0}, \boldsymbol{b}) \) respectively. If
the area of \( \triangle A O B \) is 1 unit the value of
\( (2 a-b)^{2} \) is
A .220
в. 240
c. 248
D. 284
Subject: Maths
The function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}2 x^{2}-1, & \text { if } 1 \leq x \leq 4 \\ 151-30 x, & \text { if } 4<x \leq 5\end{array} \) is not \right.
suitable to apply Rolle's theorem, since
B. \( f(1) \neq f(5) \)
c. \( f(x) \) is continuous only at \( x=4 \)
D. \( f(x) \) is not differentiable in (4,5)
E. \( f(x) \) is not differentiable at \( x=4 \)
Subject: Physics
Determine the coefficient of dynamic viscosity of the liquid.
A \( .0 .45 \mathrm{N} / \mathrm{m}^{2} \)
В. \( 0.85 \mathrm{N} / \mathrm{m}^{2} \)
c. \( 0.56 N / m^{2} \)
D. \( 0.77 \mathrm{N} / \mathrm{m}^{2} \)
Subject: Physics
A condenser of capacity \( C \) is charged to
a potential difference of \( V_{1} . \) The plates of the condenser are then connected to
an ideal inductor of inductance \( L \). The
current through the inductor when the
potential difference across the
condenser reduces to \( V_{2} \) is
\( \left(\frac{C\left(V_{1}-V_{2}\right)^{2}}{L}\right)^{\frac{1}{2}} \)
в. \( \frac{C\left(V_{1}^{2}-V_{2}^{2}\right)}{L} \)
c. \( \frac{C\left(V_{1}^{2}+V_{2}^{2}\right)}{L} \)
\( \left(\frac{C\left(V_{1}^{2}-V_{2}^{2}\right)}{L}\right)^{\frac{1}{2}} \)
Subject: Physics
A beam balance of unequal arm length is used by an unscruplus trader. When an object is weighed on left pan. The
weight \( i \) found to be \( W_{1} . \) When the
object is weighed on the right plan, the weight is found to be \( W_{2} \). If \( W_{1} \neq W_{2} \)
the correct weight of the object is
A. \( \frac{W_{1}+W_{2}}{2} \)
В. \( \sqrt{W_{1} W_{2}} \)
c. \( \sqrt{W_{1}^{2}+W_{2}^{2}} \)
D. \( \sqrt{W_{2}^{2}-W_{1}^{2}} \)
Subject: Physics
Composition of the nuclei of two atomic
species \( X \) and \( Y \) are given as under
\[
\begin{array}{r}
\boldsymbol{X} \boldsymbol{Y} \\
\text { Protons }=\boldsymbol{6}
\end{array}
\]
Neutrons \( =\mathbf{6} \)
Given the mass numbers of \( X \) and \( Y \).
What is the relation between the two
species?
Subject: Maths
The order of the differentiable equation
associated with the primitive \( \boldsymbol{y}= \)
\( C_{1}+C_{2} e^{x}+C_{3} e^{-2 x+C_{4}} \) where
\( C_{1}, C_{2}, C_{3}, C_{4} \) are arbitrary constants,
is
A . 3
B. 4
\( c \cdot 2 \)
D. None of these
Subject: Physics
You measure the capacitor and inductor voltages in a driven RLC circuit, and find 10V for the rms capacitor voltage and \( 15 V \) for the \( r m s \) inductor voltage.
A \( \cdot \omega=\omega_{r e s} \)
В. \( \omega<\omega_{r e s} \)
\( \mathbf{c} \cdot \omega>\omega_{r e s} \)
D. can't be said
Subject: Physics
Find the moment \( t_{0} \) at which the velocity vector forms an angle \( \frac{\pi}{4} \) with the acceleration vector.
A \( t_{0}=\frac{1}{3 \alpha} \)
в. \( t_{0}=\frac{2}{\alpha} \)
c. \( _{t_{0}}=\frac{3}{\alpha} \)
D \( t_{0}=\frac{1}{\alpha} \)
Subject: Maths
A circular grassy plot of land, \( 42 m \) in diameter, has a path \( 3.5 m \) wide running around it on the outside. Find
the cost of gravelling the path at \( R s .4 \)
per square metre
A. \( R s .2002 \)
B. Rs.2003
c. \( R s .2004 \)
D. \( R s .2000 \)
Subject: Chemistry
Which of the following compounds may give blood red colouration while performing Lassaigne's test for nitrogen? This question has multiple correct options
A. \( \left(N H_{2}\right)_{2} C O \)
в. \( \left(N H_{2}\right)_{2} C=S \)
c. \( p-N H_{2} C_{6} H_{4} S O_{3} H \)
D. \( C_{6} H_{5} S O_{3} H \)
Subject: Maths
\( \operatorname{Let} \vec{a}=\vec{i}+2 \vec{j}+\vec{k}, \vec{b}=\vec{i}-\vec{j}+\vec{k} \) and
\( \vec{c}=\vec{i}+\vec{j}-\vec{k} . A \) vector in the plane of \( \vec{a} \)
and \( \vec{b} \) has projection \( \frac{1}{\sqrt{3}} \) on \( \vec{c} \). Then, one
such vector is
A \( \cdot 4 \vec{i}+\vec{j}-4 \vec{k} \)
B. \( 3 \vec{i}+\vec{j}-3 \vec{k} \)
c. \( 4 \vec{i}-\vec{j}+4 \vec{k} \)
D. \( 2 \vec{i}+\vec{j}-2 \vec{k} \)
Subject: Physics
If the angle of incidence is \( 80^{\circ}, \) what will be the angle of reflection with respect to the normal drawn perpendicular at the point of reflection?
A . \( 80^{\circ} \)
B. \( 100^{\circ} \)
\( c \cdot 160^{\circ} \)
D. \( 20^{\circ} \)
Subject: Maths
If the line \( \sqrt{5} x=y \) meets the lines \( x= \)
\( \mathbf{1}, \boldsymbol{x}=\mathbf{2}, \ldots, \boldsymbol{x}=\boldsymbol{n}, \) at points \( \boldsymbol{A}_{\mathbf{1}}, \boldsymbol{A}_{\mathbf{2}}, \dots \)
\( A_{n} \) respectively then \( \left(O A_{1}\right)^{2}+ \)
\( \left(O A_{2}\right)^{2}+\ldots+\left(O A_{n}\right)^{2} \) is equal to \( (0 \) is
the origin)
A \( \cdot 3 n^{2}+3 n \)
B. \( 2 n^{3}+3 n^{2}+n \)
\( \mathbf{c} \cdot 3 n^{3}+3 n^{2}+2 \)
D.
\( \left(\frac{3}{2}\right)\left(n^{4}+2 n^{3}+n^{2}\right) \)
Subject: Chemistry
Consider the following hydrides and arrange them in increasing order of bond angles:
(।) \( N H_{3} \)
(II) \( \boldsymbol{P H}_{\mathbf{3}} \)
(III) \( \boldsymbol{A} \boldsymbol{s} \boldsymbol{H}_{3} \)
\( (\mid V) S b H_{3} \)
A. \( I<I I<I I I<I V \)
в. \( I V<I I I<I I<I \)
c. \( I<I I I<I I<I V \)
D. \( I V<I I<I I I<I \)
Subject: Chemistry
The decreasing order of dipole moment of the following is :
\( \boldsymbol{I} \cdot \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C l} \)
II. \( \boldsymbol{C H}_{3} \boldsymbol{B r} \)
III \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{F} \)
A \( \cdot(I)>(I I)>(I I I) \)
в. \( (I)>(I I I)>(I I) \)
c. \( (I I)>(I)>(I I I) \)
D. \( (I I)>(I I I)>(I) \)
Subject: Physics
A car is moving along a straight line OP as shown in the figure. It moves from 0 to \( P \) in 18 s and returns from \( P \) to \( Q \) in 6
s. Which of the following statements is not correct regarding the motion of the
car?
A. The average speed of the car in going from 0 to \( P \) and come back to \( \mathrm{Q} \) is \( 20 \mathrm{m} s^{-1} \)
B. The average velocity of the car in going from 0 to and come back to \( \mathrm{Q} \) is \( 10 \mathrm{m} \mathrm{s}^{-1} \)
c. The average speed of the car in going from 0 to \( \mathrm{P} \) and come back to 0 is \( 20 \mathrm{m} s^{-1} \)
D. The average velocity of the car in going from 0 to and come back to 0 is \( 20 \mathrm{m} s^{-1} \)
Subject: Physics
Assertion
The pressure exerted by solids is a little different from that of fluids
Reason
There is loose interactions of atoms
molecules in solids
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
The energy of a neutron in eV whose de-
Broglie wavelength is \( 1 \mathrm{A} \)
A \( \cdot 1.67 \times 10^{-22} z V \)
В. \( 8.13 \times 10^{-2} \mathrm{eV} \)
c. \( 6.62 \times 10^{-22} e V \)
D. \( 3.23 \times 10^{-2} \mathrm{eV} \)
Subject: Chemistry
Experimental analysis shows that a compound contains 0.015 moles of iron
and 0.0225 moles of sulfur. What is
the empirical formula of this compound?
A. \( F e_{2} S_{3} \)
в. \( F e_{3} S \)
c. \( F e S \)
D . \( F e_{7} S_{8} \)
Subject: Maths
If differential equation of family of curves \( \boldsymbol{y} \ln |\boldsymbol{c} \boldsymbol{x}|=\boldsymbol{x}, \) where \( c \) is an
arbitrary constant, is \( \boldsymbol{y}^{\prime}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\boldsymbol{\phi}\left(\frac{\boldsymbol{x}}{\boldsymbol{y}}\right) \)
for some function \( \phi \), then \( \phi(2) \) is equal
to?
Subject: Maths
\( \boldsymbol{g}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{g}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{y})+\mathbf{3} \boldsymbol{x} \boldsymbol{y}(\boldsymbol{x}+ \)
\( \boldsymbol{y}) \forall \boldsymbol{x}, \boldsymbol{y} \boldsymbol{\epsilon} \boldsymbol{R} \) and \( \boldsymbol{g}^{\prime}(\mathbf{0})=-4 . \) The value of
\( \boldsymbol{g}^{\prime}(1) \) is
A . 0
B.
c. -1
D. none of these
Subject: Physics
Equations of a stationary and a travelling waves are as follows, \( \boldsymbol{y}_{1}= \)
\( a \sin k x \cos \omega t \) and \( y_{2}=a \sin (\omega t-k x) \)
The phase difference between two points \( x_{1}=\frac{\pi}{3 k} \) and \( x_{2}=\frac{3 \pi}{2 k} \) are \( \phi_{1} \) and
\( \phi_{2} \) respectively for two waves. The ratio \( \frac{\phi_{1}}{\phi_{2}} \) is
A.
в. \( 5 / 6 \)
\( c .3 / 4 \)
D. 6/7
Subject: Chemistry
Assertion
lonisation potential of Be(atomic number 4 ) is less than B(atomic
number 5 ).
Reason
The first electron released from Be is of
p orbital but that form B is of s orbital.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
Assertion
If there is no external torque acting on a body about its center of mass, then the velocity of the center of mass remains constant.
Reason
The linear momentum of an isolated
system remains constant.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Maths
\( \frac{\boldsymbol{d}}{d x}\left(e^{\tan x}\right) \)
\( \mathbf{A} \cdot e^{\tan x} \cdot \sec ^{2} x \)
B \( \cdot e^{\cot x} \cdot \sec ^{2} x \)
\( \mathbf{C} \cdot e^{\cos x} \cdot \sec ^{2} x \)
D \( \cdot e^{\sin x} \cdot \sec ^{2} x \)
Subject: Physics
The stress-strain graph for a metal wire is as shown in the figure. In the graph, the region in which Hooke's law is
obeyed, the ultimate strength and
fracture points are represented by
A. \( O A, C, D \)
в. \( O B, D, E \)
c. \( O A, D, E \)
D. \( O B, C, D \)
Subject: Maths
If \( \tan (A-B)=1, \sec (A+B)=\frac{2}{\sqrt{3}} \)
then the smallest +ve value of B is?
A \( \cdot \frac{25 \pi}{24} \)
в. \( \frac{19 \pi}{24} \)
c. \( \frac{13 \pi}{24} \)
D. \( \frac{11 \pi}{24} \)
Subject: Physics
A black smith fixes ring on the rime of
the wooden wheel of a bullock cart the
diameter of the rime and iron ring arc
5.243 and 5.231 resp. at \( 27^{\circ} C \) to what
temp, should the ring be heated. So as to fit the rime of the wheel \( \alpha=1.20 x \)
\( \mathbf{1 0}^{-\mathbf{5}} \)
Subject: Physics
A cell of E.M.F. E and internal resistance
supplies currents for the same time through external resistance \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} \)
respectively. If the heat produced in both cases is the same then the internal
resistance is
A \( \cdot 1 / r=1 / R_{1}+1 / R_{2} \)
B. \( r=\left(R_{1}+R_{2}\right) / 2 \)
\( \mathbf{c} \cdot r=\left(R_{1} R_{2}\right) \)
D. \( r=R_{1}+R_{2} \)
Subject: Maths
If \( A \) and \( B \) are independent events such
\( \operatorname{that} \boldsymbol{P}(\boldsymbol{A})>\mathbf{0}, \boldsymbol{P}(\boldsymbol{B})>\mathbf{0}, \) then
A. \( A \) and \( B \) are mutually exclusive
B. \( A \) and \( \bar{B} \) are dependent
c. \( \bar{A} \) and \( B \) are dependent
\( P\left(\frac{A}{B}\right)+P\left(\frac{\bar{A}}{B}\right)=1 \)
Subject: Chemistry
The latent hear of vaporization of water
is \( 2240 J . \) If the work done in the process
of vaporization of \( 1 g \) is \( 168 J \), then increase in internal energy is:
\( \mathbf{A} \cdot 1940 J \)
в. \( 2072 J \)
c. \( 2240 J \)
D. 2408J
Subject: Biology
Q Type your question
A DNA template plus primer with the structure
\( 3 \mathrm{P}-\mathrm{TG} \mathrm{C} \) GAATTAG \( \mathrm{C} \) GACAT - PS
\( 5 \mathrm{P}-\mathrm{ATCGGTACGACGCTTAAC} \mathrm{OH} 3 \)
(where \( P=a \) phosphate group) is placed in an in vitro DNA synthesis system containing \( M g^{2+}, \) an excess of the four
deoxyribonucleoside triphosphates, etc.
and a mutant form of E. Coli DNA
polymerase I that lacks \( 5 \rightarrow 3 \)
exonuclease activity. The \( 5 \rightarrow 3 \)
polymerase and. \( 3 \rightarrow 5 \) exonuclease activities of this aberrant enzyme are
identical to those of normal E. Coli

DNA polymerase I. It simply has no \( 5 \rightarrow \) 3 exonuclease activity. What will be the structure of the final product?
A. 3P-TGCGAATTAGCGACAT- P
5 P-ATCG GTAC GACG СТТААТСG СТGТА-ОН 3
в. 3 Р-т6СGААТтGGСGАСАТ- Р 5
5 Р-АтсG GтАСGАС ясттААС с с стятА-Он 3
c. 3нотяСЯААТтАGСGАСАТ Р 5
5-ATCG GTAC GACG CTTAATCG CTGTA - P 3
D. 3 Р тяСЯААТТАGСGАСАТ Р 5
5 Р -АСGСТТААТСЯСТЯТА-Онз
Subject: Maths
Direction angle of a vector is \( 30^{\circ}, \) then
find the vector.
B. \( \sqrt{3} a \hat{i}+b \hat{j} \)
c. \( a \hat{i}+b \hat{j} \)
D. \( \sqrt{3} a \hat{i}+\sqrt{3} 3 \hat{j} \)
Subject: Chemistry
A steady current of 10.0 Amps is passed through a nickel production cell of 15 minutes.

Which of the following is the correct expression for calculating the number of grams of nickel produced? Note:
9. faraday\( =96,500 \) Coulombs
The electroytic cell involves the following half-reaction:
\( N i_{(a q)}^{2+}+2 e^{-} \rightarrow N i_{(s)} \)
A \( \frac{(10.0)(15)(96,500)}{(59)(60)} g \)
в. \( \frac{(10.0)(15)(59)}{(60)(96,500)} \),
c. \( \frac{(10.0)(15)(60)(59)}{(96,500)(2)} g \)
D. \( \frac{(96,500)(59)}{(10)(15)(60)(2)} g \)
Subject: Chemistry
Select the correct IUPAC name for
\( \left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+} \) complex ion
A. Tetraammineplatinum(II) ion
B. Tetraammineplatinum(2+) ion
c. Tetraammineplatinate(II) ion
D. Tetraammineplatinate(2+) ion
Subject: Chemistry
Assertion
\( \boldsymbol{S O}_{2} \) turns acidified \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) green
Reason
\( K_{2} C r_{2} O_{7} \) is reduced to \( C r^{3+}(\text { green }) \)
salt by \( S O_{2} \)
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect.
Subject: Biology
Q Type your question.
different oxygen pressures.
The greatest difference in oxygen
saturation between hemoglobin and
myoglobin takes place at which of the
following pressure?
partial pressure
Myoglobin
\( A \cdot 1 k P a \)
в. \( 2 k P a \)
\( c .3 k P a \)
D. \( 4 k P a \)
\( E \)
Subject: Physics
A planet is revolving in an elliptical orbit around the Sun. Its closest
distance from the Sun is \( r_{\text {min }} \) and the
farthest distance is \( r_{m a x} \). If the velocity
of the planet at the distance of the
closest approach is \( \nu_{1} \) and that at the
farthest distance from the Sun is \( \nu_{2} \)
\( \operatorname{then}\left\{\nu_{1}\right\} /\left\{\nu_{2}\right\} \)
A \( \cdot \frac{r_{\max }}{r_{\min }} \)
B \( \cdot \frac{r_{\min }}{r_{\max }} \)
C. \( \frac{r_{\min }+r_{\max }}{r_{\max }-r_{\min }} \)
D. none
Subject: Physics
A series LCR circuit consists of an
inductor L a capacitor \( C \) and a resistor \( R \)
connected across a source of emf \( \varepsilon= \)
\( \varepsilon_{0} \sin \omega t . \) When \( \omega L=\frac{1}{\omega C} \) the current in
the circuit is \( l_{0} \) and if angular frequency
of the source is changed to \( \omega \) ', the
current in the circuit becomes \( \frac{l_{0}}{2}, \) then
the value of \( \left|\boldsymbol{\omega}^{\prime} \boldsymbol{L}-\frac{\mathbf{1}}{\omega^{\prime} \boldsymbol{C}}\right| \) is
\( A \)
B. \( \sqrt{3} \) R
\( c \cdot \sqrt{15} \)
Subject: Physics
The temperature of a room heated by a
heater is \( 20^{\circ} \mathrm{C} \) when outside
temperature is \( -20^{\circ} \mathrm{C} \) and it is \( 10^{\circ} \mathrm{C} \) when the outside temperature is
\( -40^{\circ} \mathrm{C} . \) The temperature of the heater is
A \( \cdot 80^{\circ} \mathrm{C} \)
B. \( 100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 40^{\circ} \mathrm{C} \)
D. \( 60^{\circ} \mathrm{C} \)
Subject: Biology
Q Type your question
11
the latter in the pair represents the set
of characters present in Casuarina.
Study the following table:
Unisexual
flowers Chala
entry
\( (i) \)
Modified
aerial stem develop acropetally tube
(ii)
(iii) \begin{tabular}{l|l|l} 
& Pedicels of & \\
& the & Presen \\
Flowers & all flowers & of \\
achlamydeous & are of & false \\
& same & whorl \\
& length & \\
Cohesion of & Centrifugal & Male \\
bracts & opening of & flowers \\
forming & flower & many \\
a cup & & \\
& & Termin \\
Flower & & part \\
formation on & Presence of & of the \\
one side in a & rachilla & pedunc \\
spiral manner & & is \\
& & flower \\
& &
\end{tabular} \( v \)
(iv
A. Both (ii) and (iii)
B. Both (i) and (ii)
C. Both (iv) and (iii)
D. Both (iii) and (i)
Subject: Chemistry
The nucleophilicities of \( \boldsymbol{R}_{3} \boldsymbol{C}^{-}, \boldsymbol{R}_{2} \boldsymbol{N}^{-} \)
\( R O^{-} \) and \( F^{-} \) decrease in the order:
\( \mathbf{A} \cdot R_{3} C^{-}>R_{2} N^{-}>R O^{-}>F^{-} \)
В \( \cdot F^{-}>R O^{-}>R_{2} N^{-}>R_{3} C^{-} \)
c. \( R O^{-}>F^{-}>R_{2} N^{-}>R_{3} C^{-} \)
D. \( R_{3} C^{-}>R O^{-}>F^{-}>R_{2} N^{-} \)
Subject: Chemistry
Find the enthalpy of \( S-S \) bond from
the following data (only magnitude in nearest integer in \( \mathrm{kJ} / \mathrm{mol} \) ):
\( (i) C_{2} H_{5}-S-C_{2} H_{5}(g) \Delta H_{f}^{o}= \)
\( -147.2 k J / m o l \)
\( (i i) C_{2} H_{5}-S-S-C_{2} H_{5}(g) \)
\( \Delta \boldsymbol{H}_{f}^{o}=-\mathbf{2 0 1 . 9 k J / m o l} \)
\( (i i i) S(g) \Delta H_{f}^{o}=222.8 k J / m o l \)
Subject: Physics
A helium nucleus makes a full rotation
in a circle of radius \( 0.8 m \) in 2 sec. The
value of the magnetic field induction \( \boldsymbol{B} \)
in tesla at the centre of circle will be
A \( \cdot 2 \times 10^{-19} \mu_{0} \)
B . \( 10^{-19} / \mu_{0} \)
\( \mathbf{c} \cdot 10^{-19} \varphi_{0} \)
D. \( 2 \times 10^{-20} / \mu_{0} \)
Subject: Chemistry
Fill in the blanks with appropriate
words. Benzene has a planar structure. All carbon atoms in benzene are \( \underline{\perp} \)
hybridised. The ring structure of benzene was proposed by \( \| . \) It shows \( \underline{\|} \) substitution reactions. It reacts with \( \underline{I V} \)
in presence of aluminium chloride to
form acetophenone.
A \( \cdot I=s p_{2} \) II \( = \) Kekule III\( = \) electrophilic \( I V= \) acetyl chloride
B. \( I=s p I I= \)Dewar III\( = \) nucleophilic \( I V= \) chloromethane
C \( . I=s p_{3} \) II \( = \) Ladenberg III \( = \) electrophilic \( I V= \) chloroethane
D. \( I=s p_{2} \) II \( = \) Baeyer III \( = \) nucleophilic \( I V= \) methylbromide
Subject: Chemistry
Which of the following practices involve green chemistry?
(i) Substitute CFCs by environmental friendly HFCs and other compounds.
(ii) Replace halogenated solvent by liquid \( C O_{2} \) for drycleaning.
(iii) Use of \( \boldsymbol{H}_{2} \boldsymbol{O} \) for bleaching instead of
\( C l_{2} \)
(iv) Making disposable eating utensils and storage jars of plastics.
\( A \). (i) and (ii)
B. (ii) and (iv)
c. (iii) and (iv)
D. (i), (ii) and (iii)
Subject: Chemistry
At \( 400^{\circ} \mathrm{C}, \) the following equilibrium is
established \( : \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{S}(s) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g}) \)
\( \boldsymbol{K}_{\boldsymbol{p}}=\mathbf{6 . 8} \times \mathbf{1 0}^{-2} . \) If 0.2 mol of hydrogen
and 1.0 mol of sulphur are heated to \( 90^{\circ} \mathrm{C} \) in a 1.0 litre vessel, what will be
the partial pressure of \( \boldsymbol{H}_{2} \boldsymbol{S} \) at equilibrium?
\( \mathbf{A} \cdot 0.013 \mathrm{atm} \)
B. 0.345 atm
c. 0.456 atm
D. 0.564 atm
Subject: Maths
The value of \( \left|\begin{array}{ccc}(\boldsymbol{a}+\boldsymbol{d})(\boldsymbol{a}+\mathbf{2} \boldsymbol{d}) & \boldsymbol{a}+\mathbf{2} \boldsymbol{d} & \boldsymbol{a} \\ \mathbf{2} \boldsymbol{d}(\boldsymbol{a}+\mathbf{2} \boldsymbol{d}) & \boldsymbol{d} & \boldsymbol{d} \\ \mathbf{2} \boldsymbol{d}(\boldsymbol{a}+\mathbf{3} \boldsymbol{d}) & \boldsymbol{d} & \boldsymbol{d}\end{array}\right| \)
A . \( 4 d \)
B \( .4 d^{2} \)
\( c \cdot 4 d^{3} \)
D. \( 4 d^{4} \)
Subject: Physics
In interpreting Rutherford's experiments on the scattering of alpha particles by thin foils, one must
examine what the known factors were,
and what the experiment concluded. Which of the following are true in this context?
A. The number of electrons in the target atoms \( (i . e ., Z) \) was settled by these experiments
B. The validity of Coulomb's law for distances as small as \( 10^{-13} \) was known before these experiments.
c. The experiments settled that size of the nucleus could not be larger than a certain value
D. The experiments also settled that size of the nucleus could not be smaller than a certain value
Subject: Chemistry
Which of the following represents the correct order of the acidity in the given compounds?
A \( \cdot F C H_{2} C O O H>C H_{3} C O O H>B r C H_{2} C O O H> \)
\( \mathrm{ClCH}_{2} \mathrm{COOH} \)
в. \( B r C H_{2} C O O H>C l C H_{2} C O O H>F C H_{2} C O O H> \)
\( C H_{3} C O O H \)
c. \( F C H_{2} C O O H>C l C H_{2} C O O H>B r C H_{2} C O O H> \)
\( C H_{3} C O O H \)
D. \( C H_{3} C O O H>B r C H_{2} C O O H>C l C H_{2} C O O H> \)
\( F C H_{2} C O O H \)
Subject: Biology
Match the items listed in column I with
Column II and mark the correct option.
Column I Column II
a. Glycosidic bond
(i) Protein detection
b. Tertiary structure
(ii) Dehydration reaction
c. Biuret test
(iii) Formation of
d. single alphabet catalytic site code 'P'
(iv) Proline
\( A \cdot a-(i), b-(i i), C-(i v), d-(i i i) \)
B. \( a-(\text { iii) }, b-(i i), C-(i v), d-(i) \)
C \( \cdot a-(\text { ii }), b-(\text { iii }), C-(i), d-(i v) \)
D. a - (iii), b - (iv), C - (ii), d - (i)