AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Consider the following statements:
(i) Soft iron conducts electricity
(ii) Soft iron is magnetic material
(iii) Soft iron is used for magnetic
permanent magnets
(iv) Soft iron is used as electro magnet
A. (i) and (ii) are correct
B. (i) and (iii) are correct
c. (ii) and (iv) are correct
D. (i), (ii) and (iv) are correct
Subject: Maths
One number is to be chosen from
Numbers 1 to \( 100, \) the probability that it is divisible by 3 or 7 is.....
A \( \frac{33}{100} \)
в. \( \frac{7}{100} \)
c. \( \frac{4}{100} \)
D. \( \frac{43}{100} \)
Subject: Maths
If \( \alpha \) is only real root of the equation
\( \boldsymbol{x}^{3}-(\cos 1) \boldsymbol{x}^{2}+(\sin 1) \boldsymbol{x}+1=\mathbf{0}, \) then
\( \left(\tan ^{-1} \alpha+\tan ^{-1} \frac{1}{\alpha}\right) \) cannot be equal
to
his question has multiple correct options
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{\pi}{2} \)
\( c \cdot-\frac{\pi}{2} \)
D.
Subject: Maths
Solve the system of inequalities
graphically:
\( \mathbf{2} \boldsymbol{x}+\boldsymbol{y} \geq \mathbf{4}, \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{3}, \mathbf{2} \boldsymbol{x}-\mathbf{3} \boldsymbol{y} \leq \mathbf{6} \)
Subject: Physics
In a Fraunhofer diffraction at single slit of width d with incident light of
wavelength \( 5500 A^{0} \), the first minimum
is observed at angle \( 30^{0} . \) The first secondary maximum is observed at an
angle \( \theta= \)
A \( \cdot \sin ^{-1}\left[\frac{1}{\sqrt{2}}\right] \)
B. \( \sin ^{-1}\left[\frac{1}{4}\right] \)
\( \mathbf{c} \cdot \sin ^{-1}\left[\frac{3}{4}\right] \)
D. \( \sin ^{-1}\left[\frac{\sqrt{3}}{2}\right] \)
Subject: Chemistry
Which of the following are
correct properties of diamond, and
account for them in terms of structure
and bonding.
This question has multiple correct options
A. Diamond is very hard, high melting solid.
B. It is an electrical insulator.
C. Diamond has a covalent network structure in which
each \( C \) -atom uses \( s p^{3} \) -hybrid orbitals to forms a tetrahydral array of \( \sigma \) -bonds.
D. The interlocking, three-dimensional network of strong bonds makes diamond the hardest known substance
with highest m.p for an element.
Subject: Chemistry
For a dilute solution, mole fraction of solute is given as \( (n= \) no. of moles of solute and \( N=\text { no. of moles of solvent }) \)
A \( \cdot \frac{n}{N} \)
в. \( \frac{N}{n} \)
c. \( \frac{N}{n+N} \)
D. Both B and C
Subject: Maths
Let \( S=\{1,2, \ldots ., 20\} . \) A subset \( B \) of \( S \) is said to be "nice", if the sum of the elements of \( B \) is \( 203 . \) Then the
probability that a randomly chosen subset of \( S \) is "nice" is:
A \( \cdot \frac{6}{2^{20}} \)
в. \( \frac{5}{2^{20}} \)
c. \( \frac{4}{2^{20}} \)
D. \( \frac{7}{2^{20}} \)
Subject: Chemistry
The volume of ethyl alcohol (density \( 1.15 g / c c) \) that has to be added to
prepare \( 100 \mathrm{cc} \) of \( 0.5 \mathrm{M} \) ethyl alcohol
solution in water is :
A . \( 1.15 c c \)
B. \( 2 c c \)
c. \( 2.15 c c \)
D. 2.30 \( c c \)
Subject: Maths
Find the mean deviation about the
mean of the following data:
\( \mathbf{1 5}, \mathbf{1 7}, \mathbf{1 0}, \mathbf{1 3}, \mathbf{7}, \mathbf{1 8}, \mathbf{9}, \mathbf{6}, \mathbf{1 4}, \mathbf{1 1} \)
A . \( 3 . \)
B. 3.
\( c .3 .3 \)
D. 3.
Subject: Maths
Find if limit of function exists as \( x \)
tends to zero
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{lr}\frac{\mathbf{1}}{\boldsymbol{x}}-\mathbf{1} & \boldsymbol{x} \neq \mathbf{0} \\ \boldsymbol{e} \boldsymbol{x}+\mathbf{1} \\ \mathbf{0} & \boldsymbol{x}=\mathbf{0}\end{array}\right. \)
Subject: Maths
A die is thrown 100 times with the
frequencies for the outcomes 1,2,3,4,5
and 6 as given in following table:
Outcome 1 2 3. 3
Frequency 13 18 २६
If a die is thrown at random, find the
probability of getting (i) 1 (ii) 2 (iii) 3
(iv) \( 4(v) 5(v i) 6 \)
Subject: Physics
Air stream horizontally across an
aeroplane wing of area \( 3 \mathrm{m}^{2} \) weighing 250 kg. The air speed is \( 60 \mathrm{m} / \mathrm{s} \) and 45 \( \mathrm{m} / \mathrm{s} \) over respectively. What is the lift on the wing? (Density of air 1.293 g/1)
Subject: Chemistry
Assertion
The reaction of zinc with hydrochloric acid goes to completion in an open container.
Reason
Hydrogen gas is evolved from the reaction of zinc and hydrochloric acid.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both the Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct but Statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
Subject: Maths
Add the expressions in each of the following.
i) \( 2 l+3 m-6 n+4 p, 3 l-5 m+ \)
\( 16 n-4 p, 12 l-6 m-4 n-2 p a n d l- \)
\( 2 m+3 n-4 p \)
ii) \( 7 x^{3}+3 x+9,-2 x^{3}-3 x^{2}- \)
\( 15,3 x^{3}-6 x^{2}+4 x-6 a n d 12 x^{2}-6 \)
iii) \( 5 a^{2}-7 a b+9 b^{2}, 4 a^{2}-2 b^{2}- \)
\( 9 a b-6,4-3 b^{2}+2 a b+ \)
\( 6 a^{2} \) and \( 12 a b-3 a^{2}-9 b^{2} \)
Subject: Physics
In an experiment, the resistance of a
material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that:
A \( \cdot R(T)=\frac{T_{0}}{T^{2}} \)
B . \( R(T)=R_{0} e^{-T^{2} / T_{0}^{2}} \)
C \( \cdot R(T)=R_{0} e^{-T_{0}^{2} / T^{2}} \)
D. \( R(T)=R_{0} e^{T^{2} / T_{0}^{2}} \)
Subject: Chemistry
For the reaction
\( \boldsymbol{S O C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{S O}_{2}+2 \boldsymbol{H C l} \)
the enthalpy of reaction is \( 49.4 k J \) and
the entropy of reaction is \( 336 J K^{-1} \)
Calculate \( \Delta G \) at \( 300 K \) and predict the
nature of the reaction.
Subject: Chemistry
Volume of \( 0.1 \mathrm{M} K M n O_{4}, \) required to
oxidise completely \( 50 \mathrm{ml} \) of \( 0.5 \mathrm{M} \) ferrous oxalate solution in acidic
medium will be:
A . \( 100 \mathrm{mL} \)
B . \( 120 \mathrm{mL} \)
\( c .150 \mathrm{mL} \)
D. \( 200 \mathrm{mL} \)
Subject: Maths
Find the arguments of each of the complex numbers.
1. \( \boldsymbol{z}=-\mathbf{1}-\boldsymbol{i} \sqrt{\mathbf{3}} \)
2. \( z=-\sqrt{3}+i \)
3. \( \boldsymbol{z}=\mathbf{1}+\boldsymbol{i} \sqrt{\mathbf{3}} \)
Subject: Maths
Study the following bar chart and
answer the questions based on it. The histogram below shows the marks
of 50 students in an examination.
Examine the diagram and answer the
questions.
If the minimum marks for passing is 40
then what percentage of students have
failed in the examination?
A . \( 5 \% \)
B . \( 10 \% \)
c. \( 14 \% \)
D . 28\%
Subject: Maths
If the circumference of the inner edge of a hemispherical bowl is \( \frac{132}{7} \mathrm{cm} \) then what is the capacity?
A \( \cdot 12 \pi c m^{3} \)
в. \( 18 \pi c m^{3} \)
\( \mathbf{c} \cdot 24 \pi c m^{3} \)
D. \( 36 \pi c m^{3} \)
Subject: Physics
A particle of mass \( 2 \mathrm{kg} \) is moving on a straight line under the action of force \( \mathrm{F}= \) \( (8-2 x) \) newton along the \( x \) -axis where \( x \) is the coordinates on \( x \) -axis If a particle
is released from \( x=7 \) m then for the
subsequent motion match the following (all values in Column II are in S.I units)
Subject: Chemistry
Select the correct order of ions with
respect to their ionic radii.
A. \( Y^{3+}<L u^{3+}<E u^{3+}<L a^{3+} \)
B . \( L u^{3+}<Y^{3+}<E u^{3+}<L a^{3+} \)
c. \( L u^{3+}<E u^{3+}<L a^{3+}<Y^{3+} \)
D. \( L a^{3+}<E u^{3+}<L u^{3+}<Y^{3+} \)
Subject: Maths
The differential equation of the simple harmonic motion given by \( \boldsymbol{x}= \)
\( \boldsymbol{A} \cos (\boldsymbol{n} \boldsymbol{t}+\boldsymbol{\alpha}) \) is
\( ^{A} \cdot \frac{d^{2} x}{d t^{2}}-n^{2} x=0 \)
B. \( \frac{d^{2} x}{d t^{2}}+n^{2} x=0 \)
c. \( \frac{d x}{d t}-\frac{d^{2} x}{d t^{2}}=0 \)
D. \( \frac{d^{2} x}{d t^{2}}-\frac{d x}{d t}+n x=0 \)
Subject: Maths
I: A straight line is such that the algebraic sum of the distance from any no. of fixed points is zero. Then that line always passes through a fixed point
II: The base of the triangle lie along the line \( x=a \) and is of length \( a \).If the area
of the triangle is \( a^{2} \) then the third vertex
lies on \( x=-a \) or \( x=3 a \)
Then which of the following is true.
A. only I
B. only II
c. both 18 ॥
D. neither I nor II
Subject: Physics
If the angle between the vectors \( \vec{A} \) and
\( \vec{B} \) is \( \theta, \) then the value of the product \( (\vec{B} \times \vec{A}) \cdot \vec{A} \) equals
A. \( B A^{2} \sin \theta \)
B. \( B A^{2} \cos \theta \sin \theta \)
c. \( B A^{2} \cos \theta \)
D. zero
Subject: Maths
Q Type your question.
1. \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{x}}+\mathbf{1} \quad: \boldsymbol{y}^{\prime \prime}-\boldsymbol{y}=\mathbf{0} \)
2. \( \boldsymbol{y}=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{C} \quad \quad: \boldsymbol{y}^{\prime}-\boldsymbol{2} \boldsymbol{x}- \)
\( \mathbf{2}=\mathbf{0} \)
3. \( \boldsymbol{y}=\cos \boldsymbol{x}+\boldsymbol{C} \quad: \quad \boldsymbol{y}^{\prime}+ \)
\( \sin x=0 \)
4. \( y=\sqrt{1+x^{2}} \)
\( : \boldsymbol{y}^{\prime}= \)
\( \frac{x y}{1+x^{2}} \)
\( \mathbf{5} . \boldsymbol{y}=\boldsymbol{A} \boldsymbol{x} \quad \quad: \quad \boldsymbol{x} \boldsymbol{y}= \)
\( \boldsymbol{y}(\boldsymbol{x} \neq \mathbf{0}) \)
6. \( \boldsymbol{y}=\boldsymbol{x} \sin \boldsymbol{x} \)
\( : \boldsymbol{x} \boldsymbol{y}=\boldsymbol{y}+ \)
\( \boldsymbol{x} \sqrt{\boldsymbol{x}^{2} \boldsymbol{y}^{2}}(\boldsymbol{x} \neq \boldsymbol{0} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{x}>\boldsymbol{y} \operatorname{or} \boldsymbol{x}<\boldsymbol{y}) \)
7. \( \boldsymbol{x} \boldsymbol{y}=\log \boldsymbol{y}+\boldsymbol{C} \quad \quad: \boldsymbol{y}^{\prime}= \)
\( \frac{y^{2}}{1-x y}(x y \neq 1) \)
8. \( y-\cos y=x \)
\( (y \sin y+ \)
\( \cos \boldsymbol{y}+\boldsymbol{x}) \boldsymbol{y}^{\prime}=\boldsymbol{y} \)
9. \( x+y=\tan ^{-1} y \)
\( : \quad y^{2} y^{\prime}+ \)
\( \boldsymbol{y}^{2}+\mathbf{1}=\mathbf{0} \)
10. \( \boldsymbol{y}=\sqrt{\boldsymbol{a}^{2}-\boldsymbol{x}^{2}} \boldsymbol{x} \epsilon(-\boldsymbol{a}, \boldsymbol{a}): \boldsymbol{x}+ \)
\( \boldsymbol{y} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\mathbf{0}(\boldsymbol{y} \neq \mathbf{0}) \)
Subject: Chemistry
The formula of the complex hydridotrimethoxidoborate ( III ) ion is:
\( A \)
\( \left[B H\left(O C H_{3}\right)_{3}\right]^{2} \)
в. \( \left[B H_{2}\left(O C H_{3}\right)_{3}\right]^{2} \)
c. \( \left[B H\left(O C H_{3}\right)_{3}\right] \)
D. \( \left[B H\left(O C H_{3}\right)_{3}\right] \)
Subject: Physics
The acceleration due to gravity on the surface of moon is \( 1.7 \mathrm{m} \mathrm{s}^{-2} . \) What is the
time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? \( (\mathrm{g} \) on the surface of earth is \( 9.8 \mathrm{m} \mathrm{s}^{-2} \) )
Subject: Maths
Using properties of determinants, show that triangle \( A B C \) is isosceles, if :
\( \mid \begin{array}{ccc}\mathbf{1} & \mathbf{1} \\ \mathbf{1}+\cos \boldsymbol{A} & \mathbf{1}+\cos \boldsymbol{B} & \mathbf{1} \\ \cos ^{2} \boldsymbol{A}+\cos \boldsymbol{A} & \cos ^{2} \boldsymbol{B}+\cos \boldsymbol{B} & \mathbf{c o s}^{2}\end{array} \)
0
Subject: Chemistry
Which of the following reactions of potassium superoxide supply oxygen gas in the breathing equipments used in space and submarines?
(A) Reaction of superoxide with nitrogen in the exhaled air.
(B) Reaction of superoxide with moisture in the exhaled air.
(C) Reaction of superoxide with carbondioxide in the exhaled air.
\( A \cdot(A),(B) \) and \( (C) \)
B. (B) and (C) only
\( c \cdot(B) \) only
D. (A) and (B) only
Subject: Maths
Show that the line of intersection of the
planes
\( \bar{r} \cdot(\hat{i}+3 \hat{j}-2 \hat{k})=0 \) and
\( \bar{r} \cdot(2 \hat{i}+4 \hat{j}-3 \hat{k})=0 \) is equally incline
to \( \hat{i} \) and \( \hat{j} \). Also find the angle it make with \( \hat{k} ? \)
Subject: Maths
If function \( \boldsymbol{f}(\boldsymbol{x})=\frac{1}{2}- \)
\( \tan \left(\frac{\pi x}{2}\right) ;(-1<x<1) \) and \( g(x)= \)
\( \sqrt{3+4 x-4 x^{2}}, \) then the domain of
\( (g o f) \) is
Subject: Chemistry
Assertion
Carbon monoxide is a poisonous gas.
Reason
Carbon monoxide combines with
haemoglobin to form carboxyhaemoglobin whch prevents absorption
of oxygen by it.
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: Chemistry
A substance having rate constant \( k \) and
initial concentration \( a \) reacts according
to zero order kinetics. What will be the
time for the reaction to go to
completion?
A \( \cdot \frac{a}{k} \)
в. \( \frac{k}{a} \)
c. \( \frac{a}{2 k} \)
D. \( \frac{2 k}{a} \)
Subject: Physics
Let \( m_{p} \) be the mass of proton, \( m_{n} \) the
mass of a neutron, \( M_{1} \) the mass of a
\( _{10}^{20} N e \) nucleus, and \( M_{2} \) the mass of a
\( _{20}^{40} C a \) nucleus. Then This question has multiple correct options
A. \( M_{2}=2 M_{1} \)
В . \( M_{2}>2 M_{1} \)
c. \( M_{2}<2 M_{1} \)
D. \( M_{1}<10\left(m_{p}+m_{p}\right) \)
Subject: Chemistry
\( N_{2} O_{4} \) dissociates as \( N_{2} O_{4} \rightleftharpoons 2 N O_{2} \)
At \( 55^{\circ} \mathrm{C} \) and one atmosphere, \( \% \)
decomposition of \( N_{2} O_{4} \) is \( 50.3 \% . \) At
what \( \boldsymbol{P} \) and same temperature, the equilibrium mixture will have the ratio
of \( N_{2} O_{4}: N O_{2} \) as \( 1: 8 ? \)
Subject: Physics
A marble of mass \( x \) and diameter \( 2 r \) is
gently released a tall cylinder containing honey.If the marble displaces mass \( \$ \$ y(\langle 1, x) \) of the liquid then the terminal velocity is proportional to
A. \( (x+y) \)
в. \( (x-y) \)
c. \( \left(\frac{x+y}{r}\right) \)
D. \( \left(\frac{x-y}{r}\right) \)
Subject: Physics
The magnetic flux through a coil is \( 4 x \) \( 10^{-4} W / b / m^{2} \) at time \( t=0 . \) It reduces
to \( 10 \% \) of its original value in 't' seconds.If the induced e.m.f is \( 0.72 m V \) then the time \( t \) is:
\( \mathbf{A} \cdot 0.25 s \)
B. \( 0.05 s \)
c. \( 0.75 s \)
D. \( 1 s \)
Subject: Physics
Two particles move parallel to \( x \) -axis about the origin with same amplitude and frequency. At a certain instant they are found at a distance \( \frac{a}{3} \) from the origin on opposite sides but their
velocities are found to be in same
direction.Then the phase difference between two particles will be
A \( \cdot \cos ^{-1}\left(\frac{7}{9}\right) \)
В. \( 180^{\circ} \)
c. \( 45^{\circ} \)
D. None of the above
Subject: Physics
A thin uniform rod \( A B \) of mass \( m= \)
1.0 \( k g \) moves translationally with
acceleration \( \boldsymbol{w}=\mathbf{2 . 0} \boldsymbol{m} / \boldsymbol{s}^{2} \) due to two
antiparallel forces \( \boldsymbol{F}_{1} \) and \( \boldsymbol{F}_{2} \) (figure shown above). The distance between the
points at which these forces are applied is equal to \( a=20 \mathrm{cm} . \) Besides, it is
known that \( F_{2}=5.0 N . \) Find the length
of the rod in metres.
Subject: Chemistry
In which of the above species, starred \( C \)
has \( s p^{2} \) hybridisation?
\( A \cdot p, q \)
B. p, q, r
\( c \cdot p, q, s, t \)
\( \mathbf{D} \cdot \mathbf{q}, \mathbf{s}, \mathbf{t} \)
Subject: Chemistry
Calculate the electronegativity of chlorine from bond energy of \( \boldsymbol{C l}-\boldsymbol{F} \)
bond \( \left(61 k c a l m o l^{-1}\right) F- \)
\( F\left(38 k c a l m o l^{-1}\right) \) and \( C l-C l \) bond
\( \left(58 k c a l m o l^{-1}\right) \) and electronegativity
of fluorine \( 4.0 e V \)
A. 1.42 eV
в. 1.89 eV
c. 2.67 eV
D. 3.22 eV
Subject: Chemistry
Match the List I and List
List I
(i)
(A)The limits of pH values of buffer 0
solution 10
(B) Concentration of \( \left[H_{3} O^{+}\right] \) in \( 0.001 M \)
\( B a(O H)_{2} \) Equal
(C) The buffer capacity of a solution is maximum when concentration of salt to 10 that of acid is
(D) Ionic product of water is \( p K_{a} \pm \) 1
A \( . A-(i v) ; B-(i i) ; C-(i) ; D-(i i i) \)
B. A-(iv); B-(i); C-(iii); D-(ii)
C \( . A-(i) ; B-(i v) ; C-(i i) ; D-(i i i) \)
D. A-(iv); B-(i); C-(ii); D-(iii)
Subject: Physics
A long capillary glass tube of uniform diameter of \( 1 \mathrm{mm} \) is filled completely
with water and then held vertically in air. It is now opened at both ends. Find the length of the water column
remaining in the glass tube. Surface tension of water is \( 0.075 N / m .(g= \) \( 10 m / s^{2} \) and density of water is
\( \left.\mathbf{1 0}^{\mathbf{3}} \mathbf{k g} / \boldsymbol{m}^{\mathbf{3}}\right) \)
A. Zero
в. \( 1.5 \mathrm{cm} \)
\( c \cdot 3 \mathrm{cm} \)
D. \( 6 \mathrm{cm} \)
Subject: Physics
The given circuit has two ideal diodes
connected as shown in the figure below
The current flowing through the
resistance \( \boldsymbol{R}_{\mathbf{1}} \) will be
A \( .3 .13 A \)
B . \( 2.5 A \)
c. \( 10.0 A \)
D. \( 1.43 A \)
Subject: Chemistry
In the Haber process for the industrial manufacturing of ammonia involving the reaction
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \) at
200atm pressure in the presence of a
catalyst, a temperature of about \( 500^{\circ} \mathrm{C} \)
is used. This is considered as optimum temperature for the process because:
A. yield is maximum at this temperature
B. catalyst is active only at this temperature
c. energy needed for the reaction is easily obtained at this temperature
D. rate of the catalytic reaction is fast enough while the yield is also appreciable for this exothermic reaction at this temperature
Subject: Chemistry
List I contains the type of colloid while
List II contains the examples.
\( \begin{array}{ll}\text { List } 1 & \text { List II } \\ \text { A. Sol } & \text { p. Dust } \\ \text { B. Aerosol } & \text { q. Cheese } \\ \text { C. Gel } & \text { r. Soap lather } \\ \text { D. Foam } & \text { s.Plant cell fluid }\end{array} \)
A. A-s B-r C-p D-q
B. A-s B-p C-q D-r
c. A-r B-s C-q D-p
D. \( A-r B-p C-s D-q \)
E. A-p B-r C-s D-q
Subject: Physics
The acceleration of a particle is increasing linearly with time \( t \) as \( b t \). The particle starts from the origin with an
initial velocity \( v_{0} . \) The distance travelled by the particle in time \( t \) will be
A \( \cdot v_{0} t+\frac{1}{3} b t^{2} \)
B. \( v_{0} t+\frac{1}{3} b t^{3} \)
c. \( v_{0} t+\frac{1}{6} b t^{3} \)
D. \( v_{0} t+\frac{1}{2} b t^{2} \)
Subject: Physics
A gas is at \( 10 P a \) pressure with a
volume \( 8 m^{3} . \) When \( 100 J \) of heat is
supplied to the gas, it expands to \( 10 m^{3} \) at constant pressure. The change in its internal energy is :
A . \( 80 J \)
В. \( -80 J \)
c. \( 20 J \)
D. \( -20 J \)
Subject: Biology
In the human digestive system, digestion occurs in
(a) Buccual cavity
(b) Stomach
(c) Small intestine
(d) Large intestine
A . (a) only
B. (a) and (b) only
\( c \cdot(b),(c) \) and \( (d) \) only
D. \( (a),(b) \) and (c) only
Subject: Chemistry
\( 10 \% \) of urea is isotonic with \( 6 \% \) solution
of a non-volatile solute \( X . \) What is the
molecular mass of solute \( \boldsymbol{X} \) ?
A \( \cdot 6 g \) mol \( ^{-1} \)
B. \( 60 g \) mol \( ^{-1} \)
c. \( 36 g \) mol \( ^{-1} \)
D. \( 32 g \) mol \( ^{-1} \)
Subject: Maths
Consider the functions defined
implicitly by the equation \( y^{3}-3 y+ \)
\( \mathbf{x}=\mathbf{0} \) on various intervals in the real
line. If \( x \in(-\infty,-2) \cup(2, \infty), \) the equation implicitly defines a unique real valued differentiable function \( \mathbf{y}= \) \( f(x) \). If \( x \in(-2,2) \), the equation implicitly defines a unique real valued differentiable function \( \mathbf{y}=\mathbf{g}(\mathbf{x}) \)
satisfying \( \mathbf{g}(\mathbf{0})=\mathbf{0} \)
f \( \mathrm{f}(-10 \sqrt{2})=2 \sqrt{2}, \) then \( \mathrm{f}^{\prime \prime}(-10 \sqrt{2})= \)
A \( \cdot \frac{4 \sqrt{2}}{7^{3} 3^{2}} \)
в. \( -\frac{4 \sqrt{2}}{7^{3} 3^{2}} \)
c. \( \frac{4 \sqrt{2}}{7^{3} 3} \)
D. \( -\frac{4 \sqrt{2}}{7^{3} 3} \)
Subject: Physics
The motion of a particle is described by the equation \( \boldsymbol{x}=\boldsymbol{a}+\boldsymbol{b} \boldsymbol{t}^{2} \) where \( \boldsymbol{a}= \)
\( 15 \mathrm{cm} \) and \( b=3 \mathrm{cm} / \mathrm{sec}^{2} . \) Its
instantaneous velocity at time 3 sec
will be:
A. \( 36 \mathrm{cm} / \mathrm{sec} \)
B. \( 1 \mathrm{cm} / \mathrm{sec} \)
c. \( 18 \mathrm{cm} / \mathrm{sec} \)
D. \( 32 \mathrm{cm} / \mathrm{sec} \)
Subject: Chemistry
Bond energies can be obtained by using the following relation:
\( \Delta H(\text {reaction})=\sum \) Bond energy of
bonds, broken in the reactants \( -\Sigma \) Bond energy of bonds, formed in the products.

Bond energy depends on three factors:
a. greater is the bond length, lesser is the bond energy
b. bond energy increases with the bond
multiplicity
c. bond energy increases with the electronegativity difference between the bonding atoms. Which among the following sequences is correct about the bond energy of \( C-C, C=C, \) and
\( C \equiv C \) bonds?
A. \( C=C>C \equiv C>C-C \)
\( C \)
в. \( C \equiv C<C=C<C-C \)
c. \( C \equiv C>C=C>C-C \)
Subject: Maths
The solution of \( \frac{d y}{d x}+\frac{2 x}{1+x^{2}} y= \)
given that \( \boldsymbol{x}=\mathbf{1}, \boldsymbol{y}=\mathbf{0} \) is
\( \left(1+x^{2}\right)^{2} \)
A \( \cdot y\left(1+x^{2}\right)=\tan ^{-1} x-\frac{\pi}{4} \)
В \( \cdot y\left(1-x^{2}\right)=\tan ^{-1} x-\pi / 4 \)
c. \( y\left(1+x^{2}\right)=\tan ^{-1} x+\frac{\pi}{4} \)
D. \( y\left(1-x^{2}\right)=\tan ^{-1} x+\pi / 4 \)
Subject: Biology
Consider the following statements regarding the major pigments and stored food in the different groups of algae and select the correct options
given.
A. In chlorophyceae, the stored food
material is starch and the major pigments are chlorophyll a and d.
B. In phaeophyceae, laminaria is the
stored food and major pigments are
chlorophyll a and b.
C. In rhodophyceae, floridean starch is the stored food and the major pigments are chlorophyll a, d and phycoerythrin
A. A is correct, but B and C are wrong.
B. A and B are correct, but C is wrong.
C. A and C are correct, but B is wrong.
D. B is correct, but A and C are wrong.
E. \( C \) is correct, but \( A \) and \( B \) are wrong
Subject: Chemistry
Which of the following alkenes is
least reactive towards anionic
polymerization?
A. \( H_{2} C=C H C H_{3} \)
в. \( H_{2} C=C F_{2} \)
c. \( H_{2} C=C H C N \)
D. \( H_{2} C=C H C_{6} H_{5} \)
Subject: Maths
In the given diagram(not drawn to scale), if \( A B \| C D, A F|| B D \) and
\( \angle F C D=58^{\circ}, \) then \( \angle A F C= \)
A \( \cdot 108^{\circ} \)
B \( .126^{\circ} \)
\( c \cdot 162^{\circ} \)
D. \( 98^{\circ} \)
Subject: Physics
A calorimeter has mass 100 g and
specific heat \( 0.1 \mathrm{kcal} / \mathrm{kg}^{\circ} \mathrm{C} \). It contains
250 gm of liquid at \( 30^{\circ} C \) having
specific heat of \( 0.4 \mathrm{kcal} / \mathrm{kg}^{\circ} \mathrm{C} \). If we
drop a piece of ice of mass \( 10 \mathrm{g} \) at \( 0^{\circ} \mathrm{C} \)
What will be the temperature of the mixture?
Subject: Chemistry
Which of the following polymer is biodegradable?
A. \( f C H_{2}-C=C H-C H_{2} \) t \( _{n} \)
\[
\begin{array}{l}_{C l} \\ \text { (i) }\end{array}
\]
B. \( \quad\left(C H_{2}-C H=C H-C H_{2}-C H_{2}-C H\right) \)
\( \begin{array}{ccc}\mathrm{c} \cdot\left(O-C_{\mathrm{I}}^{H}-C H_{2}-C-O-C H\right. & -C H_{2}-C t_{n} \\ C_{H_{3}} & _{O}^{\mid J} & _{C H_{2} C H_{3}}\end{array} \)
Subject: Physics
An iron block of sides \( 5 \mathrm{cm} \times 8 \mathrm{cm} \times \)
\( 15 c m \) has to be pushed along the floor. The force required will be minimum when the surface in contact with the
ground is
\( \mathbf{A} \cdot 8 \mathrm{cm} \times 15 \mathrm{cm} \) surface
B. \( 5 \mathrm{cm} \times 15 \mathrm{cm} \) surface
c. \( 8 \mathrm{cm} \times 5 \mathrm{cm} \) surface
D. force is same for all surfaces
Subject: Maths
Find the values of \( c \) that satisfy the
Rolle's theorem for integrals on [-1,3]
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}-\boldsymbol{2} \boldsymbol{x}-\boldsymbol{8} \)
\( \mathbf{A} \cdot c=3 \)
в. \( c=1 \)
\( \mathbf{c} \cdot c=0 \)
\( \mathbf{D} \cdot c=2 \)