AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A conducting circular loop made of a thin wire, has area \( 3.5 \times 10^{-3} m^{2} \) and
resistance \( 10 \Omega \). It is placed perpendicular to a time dependent magnetic field \( B(t)=(0.4 T) \sin (50 \pi t) \)
The field is uniform in space. Then the net charge flowing through the loop during \( t=0 s \) and \( t=10 m s \) is close to:
A. \( 0.14 m C \)
В. \( 0.21 \mathrm{mC} \)
\( c \cdot 6 m C \)
D. \( 7 m C \)
Subject: Physics
A particle of mass \( m \) is oscillating with amplitude \( A \) and angular frequency \( \omega \) its average energy in one time period is
?
A \( \cdot \frac{1}{2} m \omega^{2} A^{2} \)
B \( \cdot \frac{1}{4} m \omega^{2} A^{2} \)
\( \mathrm{c} \cdot m \omega^{2} A^{2} \)
D. zero
Subject: Physics
A electric dipole moment \( \overrightarrow{\boldsymbol{p}}= \) \( (2.0 \hat{i}+3.0 \hat{j}) \mu C . m \) is placed in a
uniform electric field \( \overrightarrow{\boldsymbol{E}}= \) \( (3.0 \hat{i}+2.0 \hat{k}) \times 10^{5} N C^{-1} \)
This question has multiple correct options
A. The torque that \( \vec{E} \) exerts on \( \vec{p} \) is \( (0.6 \hat{i}-0.4 \hat{j}-0.9 \hat{k}) N m \)
B. The potential energy of the dipole is -0.65
c. The potential energy of the dipole is \( 0.6 J \)
D. If the dipole is free to rotate in the electric field, the maximum magnitude of potential energy of the dipole during the rotation is 1.3 .5
Subject: Physics
When a satellite going round the earth
in a circular orbit of radius \( r \) and speed
\( v, \) loses some of its potential energy, then :
A. both \( r \) and \( v \) will increase
B. both \( r \) and \( v \) will decrease
c. \( r \) will decrease and \( v \) will increase
D. \( r \) will increase and \( v \) will decrease
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{3}-\mathbf{5} \boldsymbol{x}^{2}+\boldsymbol{a} \boldsymbol{x}+\boldsymbol{a} \)
Given that \( (x+2) \) is a factor of \( f(x) \)
find the value of the constant \( a \)
A . -16
B. 32
\( c .-36 \)
D. 42
Subject: Physics
A particle of mass \( M \) and charge \( Q \)
moving with velocity \( \vec{v} \) describe a
circular path of radius \( R \) when subjected to a uniform transverse
magnetic field of induction \( \boldsymbol{B} \). The work
done by the field when the particle completes one full circle is:
\( ^{\mathbf{A}} \cdot\left(\frac{M v^{2}}{R}\right)^{2 \pi R} \)
B. zero
с. \( B Q 2 \pi R \)
D. \( B Q v 2 \pi R \)
Subject: Chemistry
The spin-only magnetic moments of \( \left[M n(C N)_{6}\right]^{4-} \) and \( \left[M n B r_{4}\right]^{2-} \) in Bohr Magnetons, respectively, are:
A .5 .92 and 5.92
B. 4.89 and 1.73
c. 1.73 and 5.92
D. 1.73 and 1.73
Subject: Maths
Evaluate \( \int \frac{\cos x+x \sin x}{x^{2}+\cos ^{2} x} d x \)
A \( \cdot-\tan ^{-1}\left(\frac{\cos x}{x}\right)+c \)
в. \( \ln \left(\frac{x+\cos x}{x}\right)+c \)
c. \( \tan ^{-1}\left(\frac{x}{x+\cos x}\right)+c \)
D. None
Subject: Physics
The angular velocity of rotation of a star (mass \( \mathrm{M} \) and radius \( \mathrm{R} \) ), such that the
matter will start escaping from its equator is:
A \( \cdot \sqrt{\frac{2 G R}{M}} \)
в. \( \sqrt{\frac{2 G M}{R^{3}}} \)
c. \( \sqrt{\frac{2 G M}{R}} \)
D. \( \sqrt{\frac{2 G M^{2}}{R}} \)
Subject: Maths
f \( a, b, c \) are positive real numbers, prove
that
\( \frac{b^{2}+c^{2}}{b+c}+\frac{c^{2}+a^{2}}{c+a}+\frac{a^{2}+b^{2}}{a+b} \geq a+ \)
\( \boldsymbol{b}+\boldsymbol{c} \)
Subject: Physics
Suppose the kinetic energy of a body oscillating with amplitude \( A \) and at a distance \( x \) is given by \( K=\frac{B x}{x^{2}+A^{2}} \)
The dimensions of \( B \) are the same as
that of :
A \( \cdot \frac{\text {work}}{\text {time}} \)
B. work \( \times \) distance
c. \( \frac{\text { work }}{\text { distance }} \)
D. work \( \times \) time
Subject: Maths
A vector \( \vec{a} \) has components 2 p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect
to the new system, \( \vec{a} \) components \( \boldsymbol{p}+\mathbf{1} \) and \( 1, \) then?
A. \( p=0 \)
B. \( p=1 \) or \( p=-\frac{1}{3} \)
c. \( _{p}=-1 \) or \( p=\frac{1}{3} \)
D. \( p=1 \) or \( p=-1 \)
Subject: Maths
The length of a rectangle is twice its width. If its perimeter is \( 54 \mathrm{cm}, \) find its length.
\( \mathbf{A} \cdot 18 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( \mathrm{c} \cdot 19 \mathrm{cm} \)
D. \( 15 \mathrm{cm} \)
Subject: Maths
If \( f(x)=\cos \left[\frac{1}{2} \pi^{2}\right] x+\sin \left[\frac{1}{2} \pi^{2}\right] x \)
\( [x] \) denoting the greatest integer
function, then
A. \( f(0)=0 \)
в. \( f\left(\frac{\pi}{3}\right)=\frac{1}{4} \)
c. \( f\left(\frac{\pi}{2}\right)=1 \)
Subject: Maths
Equation of a line whose inclination is
\( 45^{0} \) and making an intercept of 3 units of X-axis is
A. \( x+y-3=0 \)
в. \( x-y-3=0 \)
c. \( x-y+3=0 \)
D. \( x+y+3=0 \)
Subject: Physics
A vertical cylinder closed at both ends is fitted with a smooth piston dividing the volume into two parts each containing one mole of air. At the equilibrium
temperature of \( 320 \mathrm{K} \), the upper and
lower parts are in the ratio \( 4: 1 . \) The
ratio will become 3: 1 at a temperature
of?
A . \( 450 \mathrm{k} \)
в. 228 к
c. \( 420 \mathrm{K} \)
D. \( 570 k \)
Subject: Physics
The output \( Y \) of the logic circuit given
above is:
\( \mathbf{A} \cdot \bar{A}+B \)
в. \( \bar{A} \)
c. \( \overline{(\bar{A}+B)} \cdot \bar{A} \)
D. \( \overline{(\bar{A}+B)} \cdot \). \( A \)
Subject: Chemistry
Assertion
The electronic configuration of nitrogen atom is represented by the given figure.
Reason
The electronic configuration of the
ground state of an atom is the one
which has the greatest multiplicity.
\( \|\quad\| \quad \uparrow \quad \uparrow \quad \uparrow \)
and not as
\( \|\quad\| \quad \| \quad \uparrow \)
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
Average osmotic pressure of human
blood is 7.4 at \( m \) at \( 27^{\circ} C, \) then total
concentration of various solutes is:
\( \mathbf{A} \cdot 0.1 \mathrm{molL}^{-1} \)
B. 0.2 molL\( ^{-1} \)
c. 0.3 molL \( ^{-1} \)
D. 0.4 molL\( ^{-1} \)
Subject: Physics
Which of the following statement(s)
is/are correct?
This question has multiple correct options
\( \mathbf{A} \cdot \) If the electric field due to a point charge varies as \( r^{-25} \) instead of \( r^{-2} \), then the Gauss law will still be valid.
B. The Gauss law can be used to calculate the field distribution around an electric dipole.
C. If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same.
D. The work done by the external force in moving a unit positive charge from point \( A \) at potential \( V_{A} \) to point \( B \) at potential \( V_{B} \) is \( \left(V_{B}-V_{A}\right) \)
Subject: Physics
The particle of mass \( m \) and charge \( q \) will touch the infinitely large plate of uniform charge density \( \sigma \) if its velocity \( v \) is more than:(Given that \( \sigma q>0 \) )
A . 0
в. \( \sqrt{\frac{4 \sigma q d}{m \varepsilon_{0}}} \)
c. \( \sqrt{\frac{\sigma q d}{m \varepsilon_{o}}} \)
D. none of these
Subject: Chemistry
Which of the following electronic configuration represents a highly electropositive element?
A \( \cdot[H e] 2 s \)
B \( \cdot[X e] 6 s^{1} \)
\( \mathbf{C} \cdot[H e] 2 s^{2} \)
D \( \cdot[X e] 2 s^{2} \)
Subject: Maths
Find the approximate value of \( \boldsymbol{f}(\mathbf{2 . 0 1}) \)
where \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{4} \boldsymbol{x}^{2}+\mathbf{5} \boldsymbol{x}+\mathbf{2} \)
Subject: Physics
A 4.0 -cm-high object is placed at a distance of \( 60 \mathrm{cm} \) from a concave lens
of focal length \( 20 \mathrm{cm} . \) Find the size of
the image.
\( \mathbf{A} \cdot 2.5 \mathrm{cm} \)
B. \( 1.0 \mathrm{cm} \)
c. \( 3.0 \mathrm{cm} \)
D. \( 4.0 \mathrm{cm} \)
Subject: Chemistry
Which of the following statement is incorrect regarding physisorption?
A. It occurs because of Van der Waals' forces
B. More easily liauiefiable gases are adsorbed readily.
c. Under high pressure, it results into multi molecular layer on adsorbent surface
D. Enthalpy of adsorption \( \left(\Delta \mathrm{H}_{\text {adsorption }}\right) \) is low and positive
Subject: Chemistry
The major organic product in the reaction:
\( \boldsymbol{C H}_{3}-\boldsymbol{O}-\boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)_{2}+\boldsymbol{H I} \rightarrow \)
Product is:
A \( \cdot C H_{3} O H+\left(C H_{3}\right) C H I \)
в. \( \operatorname{ICH}_{2} \mathrm{OCH}\left(\mathrm{CH}_{3}\right)_{2} \)
\( ^{\mathrm{c}} \cdot_{C H_{3}} O C\left(C H_{3}\right)_{2} \)
D. \( \left.C H 3_{3} I+\left(C H_{3}\right)_{2}\right) C H O H \)
Subject: Biology
Match the column I with Column II:
\( \begin{array}{llll} & \text { Column I } & & \text { Column } \\ & & & \text { II } \\ \text { a. } & \begin{array}{l}\text { Royal Botanical } \\ \text { Garden }\end{array} & \text { 1. } & \text { Howrah } \\ \text { b. } & \begin{array}{l}\text { Indian botanical } \\ \text { garden }\end{array} & \text { 2. } & \text { Lucknow } \\ \text { c. } & \begin{array}{l}\text { National botanical } \\ \text { research institute }\end{array} & \text { 3. } & \begin{array}{l}\text { Kew } \\ \text { (England) }\end{array}\end{array} \)
\( \mathbf{A} \)
\( a \rightarrow 3 ; b \rightarrow 2 ; c \rightarrow 1 \)
B \( . a \rightarrow 3 ; b \rightarrow 1 ; c \rightarrow 2 \)
\( \mathbf{c} \cdot a \rightarrow 1 ; b \rightarrow 2 ; c \rightarrow 3 \)
\( \mathbf{D} \cdot a \rightarrow 1 ; b \rightarrow 3 ; c \rightarrow 2 \)
Subject: Chemistry
Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory:
(i) \( \left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\mathbf{6}}\right]^{4-}\left(\text { ii) }\left[\boldsymbol{F} \boldsymbol{e} \boldsymbol{F}_{6}\right]^{3-}(\text { iii })\right. \)
\( \left[\boldsymbol{C o}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right]^{3-}(\text { iv })\left[\boldsymbol{C o} \boldsymbol{F}_{6}\right]^{3-} \)
Subject: Maths
What is the value of \( a \) for the following
equation: \( 3 a+4 b=13 \) and \( a+3 b=1 \)
\( ? \)
(Use cross multiplication method)
\( \mathbf{A} \cdot a=5 \)
B. \( a=6 \)
\( \mathbf{c} \cdot a=\mathbf{7} \)
\( \mathbf{D} \cdot a=8 \)
Subject: Maths
If \( z=f \) of \( (x) \) where \( f(x)=x^{2}, \) then what
is \( \frac{d z}{d x} \) equal to?
\( \mathbf{A} \cdot x^{3} \)
В. \( 2 x^{3} \)
\( c \cdot 4 x^{3} \)
D. \( 4 x^{2} \)
Subject: Chemistry
The possible hazards of air pollution are
due to :
A) acid rains
B) photo chemical reactions taking place at stratosphere
C) an increase in the \( C O_{2} \) level in
the atmosphere
\( A \cdot A \& B \)
B. B \& \( c \)
\( c \cdot c \& A \)
D. \( A, B \& C \)
Subject: Maths
Represent the following data by histogram and hence compute mode.
Price o
22
24
sugar 18
20
per kg
\[
20
\]
22
24
26
(in Rs.)
Number of f
weeks 4
8
22
A. 21.2 Rs.
B. 22.2 Rs.
c. 23.2 Rs.
D. 24.2 Rs.
Subject: Chemistry
Assertion
Fluorine molecule has bond order one.
Reason

The number of electrons in antibonding
molecular orbitals is two less than in
bonding molecule orbitals.
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: Biology
The weather forecast in a week has
been summarised as above.
Based on the above information answer
the questions.

Which day has the least temperature?
\begin{tabular}{|l|l|l|l|}
\hline Day & Max. & Min. & Forecast \\
\hline Sun & \( 36^{\circ} \mathrm{C} \) & \( 24^{\circ} \mathrm{C} \) & Sunny and hot \\
Mon & \( 34^{\circ} \mathrm{C} \) & \( 22^{\circ} \mathrm{C} \) & Sunny \\
Tue & \( 30^{\circ} \mathrm{C} \) & \( 20^{\circ} \mathrm{C} \) & Dry and cloudy \\
Wed & \( 32^{\circ} \mathrm{C} \) & \( 21^{\circ} \mathrm{C} \) & Cloudy \\
Thu & \( 27^{\circ} \mathrm{C} \) & \( 16^{\circ} \mathrm{C} \) & Rain \\
Fri & \( 30^{\circ} \mathrm{C} \) & \( 20^{\circ} \mathrm{C} \) & Light showers \\
Sat & \( 32^{\circ} \mathrm{C} \) & \( 21^{\circ} \mathrm{C} \) & Cloudy \\
\hline
\end{tabular}
A. Sunday
B. Thursday
c. Saturday
D. Monday
Subject: Chemistry
The equilibrium constant for the
reaction \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \Leftrightarrow \mathbf{2} \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \) is \( \boldsymbol{8 1} \)
at a certain temperature. If the
concentrations of \( \boldsymbol{H}_{2} \) and \( \boldsymbol{I}_{2} \) are \( \boldsymbol{3} \)
mole/lit each at equilibrium, the
equilibrium concentration of \( \boldsymbol{H} \boldsymbol{I} \) is:
A. 17 mol/litre
B. 27 mol/litre
c. 34 mol/litre
D. 51 mol/litre
Subject: Physics
If the pressure of an ideal gas contained in a closed vessel is increased by \( 0.4 \% \)
the increases in temperature is \( 1^{\circ} \mathrm{C} \) The initial temperature of the gas is:
\( \mathbf{A} \cdot 26^{\circ} C \)
B . \( 250^{\circ} \mathrm{C} \)
c. \( 250 K \)
D. \( 2500^{\circ} \mathrm{C} \)
Subject: Chemistry
Which of the following orbit is impossible for an electron according to Bohr's theory?
A \( \cdot m v r=\frac{h}{2 \pi} \)
B. \( m v r=\frac{3 h}{4 \pi} \)
c. \( _{m v r}=\frac{2 h}{\pi} \)
D. \( m v r=\frac{4 h}{2 \pi} \)
Subject: Physics
Assume at \( x=x_{2}, u(x) \) is constant
Slope \( \frac{-\boldsymbol{d} \boldsymbol{u}}{\boldsymbol{d} \boldsymbol{x}}=\mathbf{0} . \) The particle is
displaced slightly from \( x=x_{2} \). Then:
A. particle will return back to \( x_{2} \) after oscillating.
B. particle will move further away from \( x_{2} \)
c. particle will stay at \( x_{2} \).
D. particle will come to a point where \( \frac{-d u}{d x} \) is maximum
or minimum
Subject: Chemistry
The formula of the complex, tris(ethylenediamine) cobalt (iii) sulphate is:
A \( \cdot\left[\operatorname{Co}(e n)_{2} S O_{4}\right] \)
в. \( \left[\operatorname{Co}(e n)_{3} S O_{4}\right] \)
\( c \cdot\left[C o(e n)_{3}\right]_{2}\left(S O_{4}\right)_{3} \)
D. \( \left[C o(e n)_{3}\right]_{2} S O_{4} \)
Subject: Chemistry
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}), \boldsymbol{K}= \)
\( 10^{-9} \) at \( 300 K . \) The value of \( p_{c o_{2}} \) is \( 10^{-x} \)
\( x \) is
Subject: Physics
The volume that a gas occupies at \( 343 \mathrm{K} \) if its volume at \( -25^{0} \mathrm{C} \) is 7.5 litre is (The
process is isobaric)
A. 10.29 Itrs
B. 102.9 Itrs
c. 1.029 Itrs
D. 1029 Itrs
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C}\left(\boldsymbol{C H}_{3}\right)_{2} \frac{\boldsymbol{O}_{3}}{\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{S}} ? \)
Products obtained at the end of the
reaction when given compound is subjected to ozonolysis are:
A. acetaldehyde
B. propanaldehyde
c. acetone, acetaldehyde
D. acetone, formaldehyde
Subject: Physics
Three charges, each \( +q, \) are placed at the corners of an isosceles triangle \( A B C \)
of sides \( \mathrm{BC} \) and \( \mathrm{AC}=2 \mathrm{a} \). D and \( \mathrm{E} \) are the
midpoints of BC and CA, as shown in the
figure. The work done in taking a charge
\( Q \) from \( D \) to \( E \) is
A \( \cdot \frac{q Q}{8 \pi \varepsilon_{0} a} \)
в. \( \frac{q Q}{4 \pi \varepsilon_{0} a} \)
\( c . \) zero
D. \( \frac{3 q Q}{4 \pi \varepsilon_{n} a} \)
Subject: Maths
f \( \boldsymbol{A}=(-\mathbf{3}, \mathbf{4}), \boldsymbol{B}=(-\mathbf{1},-\mathbf{2}), \boldsymbol{C}= \)
\( (\mathbf{5}, \mathbf{6}), \boldsymbol{D}=(\boldsymbol{x},-\mathbf{4}) \) are vertices of \( \mathbf{a} \)
quadrilateral such that \( \Delta A B D= \)
\( 2 \Delta A C D . \) Then \( x, \) is equal to:
\( \mathbf{A} \cdot \mathbf{6} \)
B. 9
\( c \cdot 69 \)
D. 96
Subject: Maths
Solve for \( \boldsymbol{\lambda} \) if
\( \left|\begin{array}{ccc}\boldsymbol{a}^{2}+\boldsymbol{\lambda} & \boldsymbol{a} \boldsymbol{b} & \boldsymbol{a c} \\ \boldsymbol{a b} & \boldsymbol{b}^{2}+\boldsymbol{\lambda} & \boldsymbol{b c} \\ \boldsymbol{a c} & \boldsymbol{b c} & \boldsymbol{c}^{2}+\boldsymbol{\lambda}\end{array}\right|=\mathbf{0} \)
Subject: Maths
If \( r \cdot v \cdot X \sim B\left(n=5, P=\frac{1}{3}\right), \) then
\( P(2<X<4)=\ldots . \)
A. \( \frac{80}{243} \)
B. \( \frac{40}{243} \)
c. \( \frac{40}{343} \)
D. \( \frac{80}{343} \)
Subject: Chemistry
\( 2.0 \mathrm{g} \) of bensoic acid dissolved in \( 25.0 \mathrm{g} \) of benzene shows a depression in freezing point to 1.62K. Mollal
depression constant \( \left(K_{f} \) of bezene is \right.
4.9 K.kg. \( m o l^{-1} . \) What is the percentage association of the acid?
A. \( (\alpha)=90.8 \% \)
B. \( (\alpha)=99.2 \% \)
c. \( (\alpha)=9.8 \% \)
D. \( (\alpha)=49.6 \% \)
Subject: Chemistry
Which will be the least stable
resonating structure?
A \( \cdot C H_{2}=C H-C H-C H-O-C H_{3} \)
В \( \cdot \frac{\theta}{C H_{2}}-\frac{\oplus}{C H}-C H=C H-O C H_{3} \)
c. \( \stackrel{\ominus}{C H_{2}}-C H=C H-C H=\stackrel{\oplus}{O}-C H_{3} \)
D. \( C H_{2}=C H-C H-C H=O-C H_{3} \)
Subject: Physics
Two solid balls of rubber \( A \) and \( B \) whose
masses are \( 200 g m \) and \( 400 g m \) respectively, are moving in mutually opposite directions. if the velocity of bal \( A \) is \( 0.3 m / s \) and both the ball come to rest after collision, then the velocity of
ball \( B \) is :
A. \( 0.15 \mathrm{m} / \mathrm{s} \)
в. \( -0.15 \mathrm{m} / \mathrm{s} \)
c. \( 1.5 \mathrm{m} / \mathrm{s} \)
D. None of these
Subject: Chemistry
Nitrogen liberated by the thermal decomposition of only:
A. \( \mathrm{NH}_{4} \mathrm{NO}_{2} \)
B. \( \mathrm{NaN}_{3} \)
\( \mathrm{c} \cdot\left(\mathrm{NH}_{4}\right)_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \)
D. all the three
Subject: Biology
Which of the following processes
creates high osmotic pressure in
uriniferous tubule?
A. Active secretion of \( N a^{+} \) into efferent arteriole followed
by Cl secretion
B. Active \( N a^{+} \) absorption followed by Cl absorption
C. Active secretion of \( C l^{-} \) and absorption of \( N a^{+} \) into efferent arteriole
D. Active Cl absorption followed by absorption of \( N a^{+} \)
Subject: Chemistry
An ideal gas in a closed inflexible container has a pressure of 6 atm and a
temperature of \( 27^{\circ} \mathrm{C} \). What will be the
new pressure at \( -73^{\circ} \mathrm{C} \) ?
\( A \cdot 2 a t m \)
B. 3 atm
c. 4 atm
D. 8 atm
E . 9 atm
Subject: Chemistry
Write the IUPAC name of the following
(i) \( P t C l_{4} \cdot 5 N H_{3} \) (gives 4 ions in
solution)
(ii) \( P t C l_{4} \cdot 2 K C l \) gives 3 ions in
solution)
(ii) \( \operatorname{Ir} C l_{3} \cdot 3 N H_{3}\left(\text { no } C l^{-} \) ion is \right.
precipitated)
(iv) \( C o C l_{3} \cdot 4 N H_{3} \mathrm{m} \) (one \( C l \) is
precipitated by \( A g N O_{3} \)
Subject: Maths
The equation of the bisector of the angle
between the lines \( 3 x-4 y+7=0 \) and
\( 12 x+5 y-2=0 \)
A. \( 11 x+3 y-9=0 \)
B. \( 3 x-11 y+9=0 \)
c. \( 11 x-3 y-9=0 \)
D. \( 11 x-3 y+9=0 \)
Subject: Chemistry
A sample of protein was analysed for me metal content and analysed for metal cotent and analysis revealed that it contained magnesium and titanium in equal amount by mass. If these are the only metallic species present in the protein and contains \( 0.016 \% \) metal, the minimum possible molar mass of the protein is \( [M g=24, T i=48] \)
A .6,00,000
В. 1,50,000
c. 3,00,000
D. 12,00,000
Subject: Chemistry
Which of the following set contains only amphoteric oxides?
A \( \cdot Z n O, P b O, S n O, A l_{2} O_{3} \)
в. \( Z n O, B a O, S O_{2}, C O \)
c. \( C O, P b O, B a O_{2}, S O_{2} \)
D. \( P_{2} O_{5}, N_{2} O_{5}, C I_{I} O_{7}, B a O \)
Subject: Physics
A \( 5.0 A \) current is setup in an external
circuit by a \( 6.0 \mathrm{V} \) storage battery for 6.0
min. The chemical energy of the battery is reduced by
A \( \cdot 1.08 \times 10^{4} J \)
B . \( 1.08 \times 10^{-4} J \)
c. \( 1.8 \times 10^{4} J \)
D. \( 1.8 \times 10^{-4} J \)
Subject: Chemistry
When the temperature is increased, the
speed of a chemical reaction usually increases because the
(1) Pressure has decreased
(2) molecules collide less frequently
(3) fractional of the molecules
possessing the activation energy for the reaction increases
Which of the above option(s) is/ are
correct?
\( A \cdot \) If 1,2 and 3 are correct
B. If only 1 and 2 are correct
C. If only 2 and 3 are correct
D. If only 1 is correct
E. If only 3 is correct
Subject: Physics
A wave travelling along positive x-axis
is given by \( =A \sin (\omega t-k x) . \) If it is
reflected from a rigid boundary such that \( 80 \% \) amplitude is reflected, then equation of reflected wave is
\( \mathbf{A} \cdot y=A \sin (\omega t+0.8 k x) \)
B . \( y=-0.8 A \sin (\omega t+k x) \)
c. \( y=A \sin (\omega t+k x) \)
D \( \cdot y=0.8 A \sin (\omega t+k x) \)
Subject: Physics
Five capacitors of \( 10 \mu F \) capacity each
are connected to a d.c. potential of 100
volts as shown in the adjoining figure.
The equivalent low capacitance
between the points \( A \) and \( B \) will be
equal to:
\( \mathbf{A} \cdot 40 \mu F \)
B. \( 20 \mu F \)
c. \( 30 \mu F \)
\( \mathbf{D} \cdot 10 \mu F \)
Subject: Physics
What is the angle between two vector forces of equal magnitude such that their resultant is one-third of either of
the original forces?
\( ^{\mathbf{A}} \cdot \cos ^{-1}\left(-\frac{17}{18}\right) \)
B. \( \cos ^{-1}\left(-\frac{1}{3}\right) \)
\( c \cdot 45^{\circ} \)
D. \( 120^{\circ} \)
Subject: Physics
An elevator in which a man is standing
is moving upwards with a constant speed of \( 10 \mathrm{m} / \mathrm{sec} \). If the man drops a
coin a from a height \( 2.45 m \), it reaches the floor of the elevator after a time
\( \left(g=9.8 m / s^{2}\right) \)
A \( \cdot \sqrt{2} s \)
B. \( \frac{1}{\sqrt{2}} \)
c. \( 2 s \)
D. \( \frac{1}{2} s \)
Subject: Maths
Solve the following simultaneous
equations:
\( 217 x+131 y=913 \)
\( 131 x+217 y=827 \)
A. \( x=7, y=3 \)
В. \( x=2, y=1 \)
c. \( x=3, y=2 \)
D. \( x=1, y=5 \)
Subject: Chemistry
lonization Energy \( (\boldsymbol{k} \boldsymbol{J} / \boldsymbol{m} \boldsymbol{o l}) \)
First
\[
896
\]
Secon
\[
1,752
\]
Third
\[
14,807
\]
Fourth
\[
17,948
\]
The table above shows the first four
ionization energies of an element. This element is located in which group of the
periodic table?
A. Group 1
B. Group 2
C . Group 3
D. Group 4
Subject: Physics
Assertion
Brittle materials do not exhibit an
identifiable yield point; rather, they fail by brittle fracture.
Reason
The value of the largest stress in tension and compression defines the ultimate strength.
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
The order of increasing oxidation number ofs in \( S_{8}, S_{2} O_{8}^{-2}, S_{2} O_{3}^{-2}, S_{4} O_{6}^{-2} \)
is given below:
A. \( S_{8}<S_{2} O_{8}^{2}<S_{2} O_{3}^{2}<S_{4} O_{6}^{2} \)
B . \( S_{2} O_{8}^{2}<S_{2} O_{3}^{2}<S_{4} O_{6}^{2}<S_{8} \)
\( \mathrm{c} \cdot S_{2} \mathrm{O}_{8}^{2}<S_{8}<S_{4} \mathrm{O}_{6}^{2}<S_{2} \mathrm{O}_{3}^{2} \)
D. \( S_{8}<S_{2} O_{3}^{2}<S_{4} O_{6}^{2}<S_{2} O_{8}^{2} \)
Subject: Physics
When the load on a wire is slowly increased from 3 to \( 5 k g w t \), the
elongation increases from 0.61 to 1.02 \( m m \). The work done during the extension of wire is
\( \mathbf{A} \cdot 0.16 J \)
в. \( 0.016 J \)
c. 1.6 .5
D. 16.5
Subject: Maths
\( \mathrm{If} \mathrm{A}+\mathrm{B}=\left[\begin{array}{lll}1 & 0 & 2 \\ 2 & 2 & 2 \\ 1 & 1 & 1\end{array}\right] \) and \( A-B= \)
\( \left[\begin{array}{ccc}1 & 4 & 4 \\ 4 & 2 & 0 \\ -1 & -1 & 2\end{array}\right] \)
then prove that \( A=\left[\begin{array}{lll}1 & 2 & 3 \\ 3 & 2 & 1 \\ 0 & 0 & 2\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{ccc}0 & -2 & -1 \\ -1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right] \)