AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{2} \\ -\mathbf{3} & -\mathbf{6}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{7} & \mathbf{2} \\ -\mathbf{3} & -\mathbf{8}\end{array}\right] \)
\( \mathbf{2} \boldsymbol{X}+\boldsymbol{A}=\boldsymbol{B} . \) Find \( \boldsymbol{X} \)
\( \mathbf{A} \cdot\left[\begin{array}{cc}8 & 4 \\ -6 & -8\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{cc}1 & 2 \\ -3 & -6\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}6 & 0 \\ 0 & -2\end{array}\right] \)
\( \mathbf{D} \cdot\left[\begin{array}{cc}3 & 0 \\ 0 & -1\end{array}\right] \)
Subject: Physics
A material B' has twice the specific
resistance of \( \mathbf{A}^{\prime} . \) A circular wire made of
B' has twice the diameter of a wire
made of \( \mathbf{A}^{\prime} . \) Then for the two wires to
have the same resistance, the ratio
\( \boldsymbol{P}_{\mathrm{A}} / \boldsymbol{P}_{\mathrm{B}} \) of their respective lengths must
be
\( A \cdot 2 \)
B. 1
\( c \cdot \frac{1}{2} \)
D.
Subject: Physics
A train, blowing a whistle of frequency \( f \) is standing in the railway yard. A person is running towards the engine.
The frequency of the sound of the whistle as heard by the personn will be
A. greater than \( f \)
B. less than \( f \)
c. equal to \( f \)
D. greater or less than \( f \) depending on the speed of the train
Subject: Maths
Identify a non-terminating repeating decimal.
A \( \cdot \frac{24}{1600} \)
в. \( \frac{171}{800} \)
c. \( \frac{123}{2^{2} \times 5^{3}} \)
D. \( \frac{145}{2^{3} \times 5^{2} \times 7^{2}} \)
Subject: Physics
A diatomic gas is filled inside a conducting cylinder. Now we push the piston slowly to make volume of gas
half of initial. Pick correct statements
\begin{tabular}{|ccccc|}
\hline & & & & \\
\hline & & & & \\
\( \bullet \) & \( \bullet \) & \( \bullet \) & \( \bullet \) & & \\
& \( \bullet \) & \( \bullet \) & \( \bullet \) & & \( \bullet \) & \( \bullet \) \\
\( \bullet \) & \( \bullet \) & \( \bullet \) & \( \bullet \) & \( \bullet \) \\
\hline
\end{tabular}
This question has multiple correct options
A. Pressure of gas Increases because there is more average change in linear momentum of molecule in each collision
B. Pressure force on side wall of container increased
C. Pressure force on piston is increased
D. More molecules collide with piston per unit time
Subject: Maths
The radius of a circle is \( 40 \mathrm{cm} \) and the length of perpendicular drawn from its centre to chord is \( 24 \mathrm{cm} . \) The length of
the chord \( A B \) is
A. \( 32 \mathrm{cm} \)
B. 64cm
c. \( 48 \mathrm{cm} \)
D. 24cm
Subject: Maths
Find the value of \( p \) and \( q \) for which
\[
\boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{c}
\frac{1-\sin ^{3} x}{\cos ^{2} x}, i f x<\pi / 2 \\
\boldsymbol{p}, \quad i \boldsymbol{f} \quad \boldsymbol{x}=\boldsymbol{\pi} / 2 \\
\frac{\boldsymbol{q}(1-\sin x)}{(\pi-2 x)^{2}}, \boldsymbol{i} \boldsymbol{f} \quad \boldsymbol{x}>\pi / 2
\end{array}\right.
\]
is continuous at \( \boldsymbol{x}=\boldsymbol{\pi} / \mathbf{2} \)
Subject: Physics
The relative velocity of \( B \) as seen from
\( A \) is
\( \mathbf{A} \cdot-8 \sqrt{2} \hat{i}+6 \sqrt{2} \hat{j} \)
B. \( 4 \sqrt{2} \hat{\imath}+3 \sqrt{3} \hat{j} \)
c. \( 3 \sqrt{5 \hat{\imath}}+2 \sqrt{3} \hat{\jmath} \)
D. \( 3 \sqrt{2 \hat{i}}+4 \sqrt{3} \hat{j} \)
Subject: Maths
Sum of the series,
\( \mathbf{1},-\boldsymbol{a}, \boldsymbol{a}^{2},-\boldsymbol{a}^{3}, \ldots \quad \boldsymbol{n} \quad \) terms \( \quad(\boldsymbol{i} \boldsymbol{f} \quad \boldsymbol{a} \)
土1)。
Subject: Physics
Two long and parallel straight wires \( A \) and B are carrying currents of 4 A and 7 A in the same direction are separated by a distance of \( 5 \mathrm{cm} . \) The force acting
on an \( 8 \mathrm{cm} \) section of wire \( \mathrm{A} \) is:
A \( \cdot 3 \times 10^{-6} N \)
B . \( 6 \times 10^{-6} N \)
c. \( 9 \times 10^{-6} N \)
D. \( 12 \times 10^{-6} N \)
Subject: Physics
Choose the incorrect relation among the following:
A . Ampere = \( \frac{\text { coulon }}{\text { secodd }} \)
B. Volt = cooulom
\( \mathrm{c} \cdot \mathrm{ohm}=\frac{\mathrm{Vort}}{\text {Ampere}} \)
D. 1 coulomb \( =6.25 \times 10^{18} \) electroncharg
Subject: Maths
Let \( \bar{a}, \bar{b}, \bar{c} \) be non coplanar vectors. The vectors \( 3 \bar{a}-2 \bar{b}-4 \bar{c},-\bar{a}+2 \bar{c},-2 \bar{a}+ \)
\( \bar{b}+3 \bar{c} \) are
A. Linearly dependent
B. Linearly independent
c. Collinear
D. Non collinear
Subject: Physics
An electromagnetic wave of frequency
\( \mathbf{v}=\mathbf{3 . 0} \mathrm{MHz} \) passes from vacuum into a
dielectric medium with permittivity
\( \boldsymbol{\epsilon}=\underline{4} .0 . \) Then:
A. wavelength is doubled and frequency remains unchanged
B. wavelength is doubled and frequency becomes half
C. wavelength is halved and frequency remains unchanged
D. wavelength and frequency both remain unchanged
Subject: Maths
The middle term in the expansion of \( \left(x+\frac{1}{x}\right)^{10} \)
A \( \cdot \) io \( _{1} \frac{1}{x} \)
в. \( ^{10} C_{5} \)
c. \( ^{10} C_{6} \)
D. \( ^{10} C_{7} x \)
Subject: Chemistry
The equilibrium constant \( \left(\boldsymbol{K}_{\boldsymbol{p}}\right) \) for the reaction \( \boldsymbol{P} \boldsymbol{C l} \boldsymbol{l}_{5}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P} C l_{3}(\boldsymbol{g}) \) is \( 16 . \) If
the volume of the container is reduced
to one-half its original volume, the value
of \( K_{p} \) for the reaction at the same
temperature will be:
A . 32
B. 64
\( c \cdot 16 \)
D. 4
Subject: Chemistry
Which nuclear reaction shows the
release of a beta particle?
\( \mathbf{A} \cdot_{92}^{235} U+_{0}^{1} n \rightarrow_{56}^{140} K r+_{56}^{140} B a+3_{0}^{1} n \)
B. \( _{84}^{210} P o \rightarrow_{82}^{206} P b+_{2}^{4} H e \)
\( \mathbf{C} \cdot_{6}^{14} C \rightarrow_{7}^{14} N+_{-1}^{0} e \)
D. \( _{47}^{106} A g+_{-1}^{0} e \rightarrow_{46}^{106} P d \)
\( \mathbf{E} \cdot_{19}^{38} K \rightarrow_{18}^{38} A r+_{+1}^{0} e \)
Subject: Maths
If \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z}>\mathbf{0} \) and \( \boldsymbol{x} \boldsymbol{y} \boldsymbol{z}=\mathbf{1} \)
Then
This question has multiple correct options
\( \mathbf{A} \cdot x^{2}+y^{2}+z^{2} \leq x^{3}+y^{3}+z^{3} \)
B . \( x^{2}+y^{2}+z^{2} \geq x^{3}+y^{3}+z^{3} \)
\( \mathbf{c} \cdot\left(x^{4}+y^{4}+z^{4}\right) \geq\left(x^{3}+y^{3}+z^{3}\right) \)
D. \( \left(x^{4}+y^{4}+z^{4}\right) \leq\left(x^{3}+y^{3}+z^{3}\right) \)
Subject: Physics
If 10 million electrons are removed from a
neutral body, then the charge on the body
is :
A \( \cdot 1.2 \times 10^{-12} C \)
B. \( +1.6 \times 10^{-12} C \)
c. \( -1.6 \times 10^{-13} C \)
D. \( 10^{-12} C \)
Subject: Chemistry
To coagulate \( [A g I] A g^{+}: N O_{3}^{-} S o I ; \) The decreasing order of coagulation power in following is -
\( \boldsymbol{N} \boldsymbol{a} \boldsymbol{C} \boldsymbol{I} \)
\( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
\( \boldsymbol{C} \boldsymbol{a}_{3}\left(\boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \)
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \)
A \( \cdot(a)>(b)>(c)>(d) \)
в. \( (d)>(c)>(b)>(a) \)
c. \( (a)>(d)>(c)>(b) \)
D. \( (d)>(c)>(a)>(b) \)
Subject: Chemistry
\( \frac{(\mathbf{1}) \boldsymbol{H} \boldsymbol{C I}}{(\mathbf{2}) \boldsymbol{C H}_{2} \boldsymbol{O} \boldsymbol{H}} \times \frac{(\mathbf{1}) \boldsymbol{L} \boldsymbol{i} A \boldsymbol{I} \boldsymbol{H}_{4} / \boldsymbol{E} \boldsymbol{t}_{2} \boldsymbol{O}}{(\mathbf{2}) \boldsymbol{H}_{2} \boldsymbol{O}} \boldsymbol{Y} \stackrel{\boldsymbol{H}_{O}^{+}}{\longrightarrow} \boldsymbol{Z} \) ldentify \( X, Y \) and \( Z \)
(according to the image shown, the
correct ans is)
Subject: Physics
A \( 1.5 \mu F \) capacitor is charged of \( 60 V \) The charging battery is then disconnected and a \( 15 \mathrm{mH} \) coil is
connected in series with the capacitor so that LC oscillations occurs. Assuming that the circuit contains no
resistance. The maximum current in
this coil shall be close to
A . 1.4 A
B. \( 1.2 A \)
\( c .0 .8 A \)
D. 0.6 A
Subject: Maths
Determine the length of the chord common to the circles \( x^{2}+y^{2}= \)
\( 64 a n d x^{2}+y^{2}-16 x=0 \)
A \( \cdot 2 \sqrt{3} \)
B. \( 4 \sqrt{3} \)
\( c \cdot 6 \sqrt{3} \)
D. \( 8 \sqrt{3} \)
Subject: Maths
\( \triangle A B C \sim \triangle D E F . \triangle A B C \) is such that
\( A B=5.2 \mathrm{cm}, B C=4.6 \mathrm{cm}, \angle B=45^{\circ} \) and
\( \frac{B C}{E F}=\frac{2}{3} ; \) Construct \( \triangle D E F \)
Subject: Chemistry
Assertion
True solutions do not exhibit Tyndal effect.
Reason
In true solutions, size of solute particles is much smaller than the wavelength of light used.
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
For \( a n A, P, \frac{1}{3}, \frac{4}{3}, \frac{7}{3}, \frac{10}{3} \dots \dots \dots, \) Find \( T_{18} \)
For \( a n A, P, 3,9,15,21 \dots \dots \dots, \) Find \( S_{10^{\circ}} \)
Subject: Physics
For a body in S.H.M. the velocity is given by the relation \( \boldsymbol{v}=\sqrt{144-16 x^{2}} \boldsymbol{m} / \boldsymbol{s} \)
The maximum acceleration is
A \( \cdot 12 m / s^{2} \)
в. \( 16 m / s^{2} \)
\( \mathrm{c} \cdot 36 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 48 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Maths
Let \( A \) and \( B \) be two events such that
\( P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4} \) and
\( P(\bar{A})=\frac{1}{4}, \) where \( \bar{A} \) stands for
complement of event \( A \). Then, the
events \( A \) and \( B \) are
A. Mutually exclusive and independent
B. Independent, but not equally likely
c. Equally likely but not independent
D. Equally likely and mutually exclusive
Subject: Chemistry
Which of the following statements
is/are correct, when a mixture of \( N a C l \)
and \( K_{2} C r_{2} O_{7} \) is gently warmed with
concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
This question has multiple correct options
A. Deep red vapors are evolved
B. The vapors when passed into \( N a O H \) solution give a yellow solution of \( N a_{2} C r O_{4} \)
c. chlorine gas is evolved.
D. Chromyl chloride is formed.
Subject: Chemistry
Compound \( A_{(l)} \) and \( B_{(l)} \) function as a weak acid and weak base respectively
when dissolved in water. When pure \( A_{(l)} \)
is dissolved in anhydrous B \( _{(l)}, \) A will function as:
This question has multiple correct options
A. an acid
B. a base
c. a stronger acid than when dissolved in \( H_{2} \) O
D. a stronger base than when it is dissolved in \( H_{2} \) O
Subject: Physics
A \( 2.0 \mathrm{cm} \) tall object is placed \( 15 \mathrm{cm} \) in front of a concave mirror of focal length
10 \( c m . \) What is the size and nature of
the image?
\( \mathbf{A} \cdot 4 \mathrm{cm}, \) real
B. \( 4 \mathrm{cm} \), virtual
c. \( 1.0 \mathrm{cm}, \) real
D. None of these
Subject: Maths
\( \boldsymbol{P}(\boldsymbol{A}-\boldsymbol{B})=\boldsymbol{P}(\boldsymbol{A})-\boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})= \)
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})-\boldsymbol{P}(\boldsymbol{B})=\boldsymbol{P}(\boldsymbol{A} \cap \overline{\boldsymbol{B}})=1- \)
\( \boldsymbol{P}(\overline{\boldsymbol{A}} \cap \boldsymbol{B}) \)
A. True
B. False
Subject: Chemistry
Which of the following statements is
true concerning ethene?
A. Both carbon atoms are \( s p^{2} \) hybridized and the molecule is planar
B. Both carbon atoms are \( s p^{2} \) hybridized and all bond
angles are approximately \( 109.5^{\circ} \)
C. One carbon atom is \( s p \) hybridized while the other is \( s p^{2} \)
D. Both carbon atoms are \( s p^{3} \) hybridized and all bond angles are approximately \( 109.5^{\circ} \)
E. Both carbon atoms are \( s p \) hybridized and the molecule
is planar
Subject: Maths
To construct a triangle similar to given \( \Delta A B C \) with its sides \( \frac{4}{5} \) of that of
\( \Delta A B C . \) Locate points \( X_{1}, X_{2}, X_{3}, \dots \)
on ray \( B X \) at equal distances such that
\( \angle A B X \) is acute. The minimum number
of points to be located on \( B X \) is:
A . 14
B. 5
\( c .9 \)
D . 20
Subject: Maths
Determine the range of the function \( \boldsymbol{f}(\boldsymbol{x}) \) defined as \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{R}, \boldsymbol{f}(\boldsymbol{x})= \)
\( \boldsymbol{x}^{3}+\mathbf{1}, \) where \( \boldsymbol{A}=\{-\mathbf{1}, \mathbf{0}, \boldsymbol{3}, \mathbf{7}, \boldsymbol{9}\} \)
Subject: Maths
If a variable \( x \) takes values \( 0,1,2, \dots n \)
with frequencies proportional to the binomial coefficients
\( n_{0},^{n} C_{1},^{n} C_{2}, \dots \dots^{n} C_{n}, \) then mean of
distribution is
A \( \cdot \frac{n(n+1)}{2} \)
в. \( \frac{n}{2} \)
\( c \cdot \frac{2}{n} \)
D. \( \frac{n(n-1)}{2} \)
Subject: Chemistry
Which of the following is/are ionization?
1. \( \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O} \longrightarrow \boldsymbol{H}^{+}+\boldsymbol{O} \boldsymbol{H}^{-} \)
2. \( \boldsymbol{H C l} \longrightarrow \boldsymbol{H}^{+}+\boldsymbol{C l}^{-} \)
A . Only 1
B. Only 2
c. Both 1 and 2
D. None of these
Subject: Chemistry
If K.E. of an electron, \( \alpha \) -particle and a proton are represented by
\( \boldsymbol{E}_{1}, \boldsymbol{E}_{2} \) and \( \boldsymbol{E}_{3} \) respectively, (provided all these have same de Broglie wavelength) then:
A. \( E_{1}=E_{2}=E_{3} \)
B . \( E_{1}>E_{2}>E_{3} \)
c. \( E_{1}>E_{3}>E_{2} \)
D. \( E_{2}>E_{3}>E_{1} \)
Subject: Chemistry
When 0.1 mol \( \operatorname{CoCl}_{3}\left(N H_{3}\right)_{5} \) is treated
with excess of \( A g N O_{3}, 0.2 \) mole of
\( A g C l \) are obtained. The conductivity of solution will correspond to
A. 1: 3 electrolyte
B. 1: 2 electrolyte
c. 1: 1 electrolyte
D. 3: 1 electrolyte
Subject: Physics
Assertion
Sound waves cannot pass through
vacuum.
Reason
Sound waves are mechanical waves,
which require a medium for their
propagation.
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
The numbers 1,2,3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other without replacement. Describe the following events: \( A= \) The number on the first slip
is larger than the one on the second slip. \( B= \) The number on the second slip is greater than \( 2 \quad C= \) The sum of the numbers on the two slip is 6 or 7 \( D= \) The number on the second slips is twice that on the first slip. Which pair
(s) of events is (are) mutually exclusive
Subject: Chemistry
The oxidation state of oxygen of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) in the final products when it reacts with \( C l O_{3}^{\ominus} \) is :
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
D. - -
Subject: Maths
The area enclosed between the curves
\( \boldsymbol{y}=\boldsymbol{x}^{3} \) and \( \boldsymbol{y}=\sqrt{\boldsymbol{x}} \) is (in square units)
A \( \cdot \frac{5}{3} \)
B. \( \frac{5}{4} \)
c. \( \frac{5}{12} \)
D. \( \frac{12}{5} \)
Subject: Biology
The direction of energy flow is
A. Producers \( \rightarrow \) Herbivores \( \rightarrow \) Decomposers \( \rightarrow \) Omnivores
B. Producers \( \rightarrow \) Carnivore \( \rightarrow \) Herbivores \( \rightarrow \) Decomposes
C. Decomposers \( \rightarrow \) Carnivores \( \rightarrow \) Herbivores \( \rightarrow \) Producers
D. Producers \( \rightarrow \) Herbivores \( \rightarrow \) Carnivores \( \rightarrow \)
Decomposers
Subject: Physics
A gas is enclosed in a cylinder with a movable friction less piston. Its initial
thermodynamic state at pressure \( \boldsymbol{P}_{i}= \) \( 10^{5} P a \) and volume \( V_{i}=10^{-3} m^{3} \)
changes to a final state at \( \boldsymbol{P}_{f}= \) \( (1 / 32) \times 10^{5} P a \) and \( V_{f}=8 \times 10^{-3} m^{3} \)
in an adiabatic quasi-static process, such that \( P^{3} V^{5} \) =constant. Consider
another thermodynamic process that brings the system from the same initial state to the same final state in two
steps: an isobaric expansion at \( \boldsymbol{P}_{i} \) followed by an isochoric (isovolumetric)
process at volume \( V_{f} . \) The amount of heat supplied to the system in the twostep process is approximately:
\( \mathbf{A} \cdot 112 J \)
в. 294 Л
c. \( 588 J \)
D. \( 813 J \)
Subject: Chemistry
Which one of the following conditions will increase the voltage of the cell represented by the equation? \( \boldsymbol{C u}(s)+\mathbf{2 A g}^{+}(\boldsymbol{a q} .) \rightleftharpoons \boldsymbol{C u}^{2+}(\boldsymbol{a q} .)+ \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \)
A. Increase in the dimension of \( C u \) electrode
B. Increase in the dimension of \( A g \) electrode
C. Increase in the concentration of \( C u^{2+} \) ion
D. Increase in the concentration of \( A g^{+} \) ion
Subject: Physics
Unpolarized light of intensity \( \boldsymbol{I}_{\mathbf{0}} \) is
incident on a set of 3 polaroids as shown. The pass axis of each polaroid is perpendicular to direction of
propagation. One of the polaroid is
rotated about the common direction of
propagation of light.
A. If A is rotated, the final intensity remain unchanged.
B. If B is rotated, the final intensity will change.
C. If \( B \) is rotated, the final intensity remains unchanged
D. If \( C \) is rotated, the final intensity remains unchanged
Subject: Maths
The coefficient of \( x^{160} \) in the expansion
of \( \left(x^{8}+\right. \)
1) \( ^{60}\left(x^{12}+3 x^{4}+\frac{3}{x^{4}}+\frac{1}{x^{12}}\right)^{-10} \)
A. \( ^{30} C_{6} \)
B. \( ^{30} C_{5} \)
c. divisible by 189
D. divisible by 203
Subject: Physics
Two infinite long wires, each carrying
current \( I, \) are lying along \( x \) -axis and \( y \)
axis, respectively. \( A \) charged particle,
having a charge \( q \) and mass \( m \), is
projected with a velocity \( u \) along the
straight line \( O P . \) The path of the
particle is (neglect gravity) a:
A. straight line
B. circle
c. helix
D. cycloid
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cccc}\mathbf{5} & \mathbf{6} & \mathbf{- 2} & \mathbf{3} \\ \mathbf{1} & \mathbf{0} & \mathbf{4} & \mathbf{2}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{cccc}\mathbf{3} & \mathbf{- 1} & \mathbf{4} & \mathbf{7} \\ \mathbf{2} & \mathbf{8} & \mathbf{2} & \mathbf{3}\end{array}\right], \) then find \( \mathbf{A}+\mathbf{B} \)
Subject: Maths
To draw a pair of tangents to a circle which are at right angles to each other it is required to draw tangents at end points of two radii which are inclined at an angle of
\( \mathbf{A} \cdot 60^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 45^{\circ} \)
Subject: Chemistry
End-product of the complete hydrolysis
of \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{6} \) is :
A. \( X e F_{4} O \)
в. \( X e F_{2} O_{2} \)
\( \mathbf{c} \cdot X e O_{3} \)
D. \( X e O_{3}^{ } \)
Subject: Physics
A motorist drives north for 35.0 minutes
at \( 85.0 k m / h \) and then stop for 15.0
minutes. He next continues north, travelling \( 130 \mathrm{km} \) in 2.00 hours. What is his total displacement:
\( \mathbf{A} \cdot 85 k m \)
B. \( 179.6 \mathrm{km} \)
c. \( 20 \mathrm{km} \)
D. \( 140 \mathrm{km} \)
Subject: Physics
A block slides down on an inclined plane
of slope angle \( \theta \) with constant velocity. It is then projected up on the same
plane with initial velocity \( V_{0} . \) How far up the incline will it move before coming to
rest
A \( \cdot \frac{V_{0}^{2}}{g \sin \theta} \)
в. \( \frac{V_{0}^{2}}{2 g \sin \theta} \)
c. \( \frac{V_{0}^{2}}{4 g \sin \theta} \)
D. \( \frac{V_{0}^{2}}{8 g \sin \theta} \)
Subject: Physics
If \( \vec{A} \times \vec{B}=\vec{B} \times \vec{C}=\vec{C} \times \vec{A} \) then \( \vec{A}+ \)
\( \vec{B}+\vec{C} \) is equal to:
A. zero
B. sum of magnitudes
c. twice of the sum of magnitudes.
D. unity.
Subject: Physics
The equation of a transverse wave is \( \boldsymbol{y}=\boldsymbol{a} \sin 2 \boldsymbol{\pi}[\boldsymbol{t}-(\boldsymbol{x} / \mathbf{5})], \) then the ratio of
maximum particle velocity and wave velocity is :
A \( \cdot \frac{2 \pi a}{\sqrt{5}} \)
в. \( \frac{2 \pi a}{5} \)
\( c \cdot \frac{a}{5} \)
D. \( 2 \pi a \sqrt{5} \)
Subject: Maths
\( \lim _{x \rightarrow 2} \frac{x^{5}-32}{x^{3}-8}= \)
\( A \cdot \frac{3}{20} \)
B. \( \frac{20}{3} \)
c. \( \frac{10}{3} \)
D. \( \frac{3}{10} \)
Subject: Physics
A current source drives a current in a
coil of resistance \( \boldsymbol{R}_{1} \) for a time \( \boldsymbol{t} \). The
same source drives current in another
coil of resistance \( \boldsymbol{R}_{2} \) for same time. If
heat generated is same, find internal resistance of source.
A \( \cdot \frac{R_{1} R_{2}}{R_{1}+R_{2}} \)
в. \( R_{1}+R_{2} \)
c. zero
D. \( \sqrt{R_{1} R_{2}} \)
Subject: Maths
If a hyperbola passes through the foci of the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) and its
traverse and conjugate axis coincide
with major and minor axes of the
ellipse, and product of the
eccentricities is 1, then:
This question has multiple correct options
A eqaations of the hyperbola is \( \frac{x^{2}}{9}-\frac{y^{2}}{16}=1 \)
B - Equations of the hyperbola is \( \frac{x^{2}}{9}-\frac{y^{2}}{25}=1 \)
C. Focus of the hyperbola is (5,0)
D. Focus of the hyperbola is \( (5 \sqrt{3}, 0) \)
Subject: Physics
A point charge \( \boldsymbol{q}_{1}=+2 \mu C \) is placed at
the origin of co-ordinates. A second
charge, \( q_{2}=-3 \mu C \),is placed on the \( x \)
axis at \( x=100 \mathrm{cm} . \) At what point \( (\mathrm{or} \)
points ) on the \( x \) -axis will the absolute
potential be zero?
A. \( x=40 \mathrm{cm} \) and \( x=-200 \mathrm{cm} \)
в. \( x=40 \) ст опы
c. \( x=-200 c m \) only
D. \( x=80 \) cm only
Subject: Maths
Find general solution of \( y-x \frac{d y}{d x}= \)
\( b\left(1+x^{2} \frac{d y}{d x}\right) \) is:
\( \begin{array}{ll}\text { A. } & b+k x=y(1+b x)\end{array} \)
В. \( \quad b+k y=x(1+b x) \)
\( \begin{array}{ll}\text { c. } & b+k y=x(1+b y)\end{array} \)
D. \( \quad b+k x=x(1+b y) \)
Subject: Chemistry
Select the incorrect set of elements:
I. Work done by the surrounding in case of infinite stage expansion is more than single expansion
II. Ineversible work is always greater
than reversible work
III. \( 0 n \) an ideal gas in case of single stage expansion and compression system as well as surrounding are restored back to their original states
IV. If gas is in thermodynamic
equilibrium is taken from state \( \boldsymbol{A} \) to
state \( B, \) by four successive single stage
expansions. Then we can plot 4 points on the P.V indicator diagram
A . I
B. ।, ॥, ॥II, IV
\( \mathbf{C} \cdot \|, I V \)
D. I, II, IV
Subject: Chemistry
Metals react differently with water. The more vigorous is the reaction, the more
is the bubble formation. The following
diagram illustrates the reaction of sodium, magnesium and copper with
water.
What can be concluded from this
diagram?
A. Magnesium reacts more vigorously with water than sodium and copper
B. Sodium reacts more vigorously with water than magnesium and copper.
c. Sodium reacts more vigorously than copper but less vigorously than magnesium.
D. copper reacts more vigorously with water than sodium and magnesium.
Subject: Chemistry
Assertion
D-Fructose is used for sweetening cold
drinks but not in hot ones
Reason
The sweet form is fructopyranose; on increasing temperature causes a shift
in the pyranose \( \rightleftharpoons \) furanose equilibrium towards the less sweet furanose form
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