AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
If the above radial probability curve
indicates '2s' orbital, the distance
between the peak points \( \boldsymbol{X}, \boldsymbol{Y} \) is:
A \( .2 .07 \hat{k} \)
в. 1.59 .
\( .0 .53 \AA \)
\( .2 .12 \hat{k} \)
Subject: Chemistry
The correct order of ionic radii of \( \mathrm{Ce}, \mathrm{La} \)
Pm, and Yb in +3 oxidation state is:
\( \mathbf{A} \cdot L a^{3+}<P m^{3+}<C e^{3+}<Y b^{3+} \)
B \( \cdot Y b^{3+}<P m^{3+}<C e^{3+}<L a^{3+} \)
\( \mathbf{c} \cdot L a^{3+}<C e^{3+}<P m^{3+}<Y b^{3+} \)
D. \( Y b^{3+}<C e^{3+}<P m^{3+}<L a^{3+} \)
Subject: Chemistry
Q Type your question-
a. \( \boldsymbol{F e}(\boldsymbol{s}) \rightarrow \boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{e}^{-}( \) at anodic
site)
b. \( O_{2}(g)+4 H^{\oplus}(a q)+4 e^{-} \rightarrow 2 H_{2} O(l) \)
(at cathodic site)
c. \( 4 F e^{2+}(a q)+O_{2}(g)+4 H_{2} O(l) \rightarrow \)
\( \mathbf{2} \boldsymbol{F} \boldsymbol{e}_{\mathbf{2}} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{8} \boldsymbol{H}^{\oplus} \)
d. \( \boldsymbol{F e}_{2} \boldsymbol{O}_{3}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{x} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightarrow \)
\( \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3} \cdot \boldsymbol{x} \boldsymbol{H}_{2} \boldsymbol{O} \)
Reason
Rusting is accelerated in the presence
of \( N a C l \) and \( C O_{2} \)

Read the above assertion and reason
and choose the correct option regarding
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. Assertion is incorrect but Reason is correct
Subject: Chemistry
The oxoanion which contains all
equivalent \( M-O \) bond is:
\( (I) C r O_{4}^{2-} \)
\( (I I) M n O_{4}^{-} \)
\( (I I I) C r_{2} O_{7}^{2-} \)
A. III only
В. \( I, I I, I I I \)
c. \( I, I I \)
D. I only
Subject: Maths
Show that, if \( \boldsymbol{f}: \boldsymbol{R}-\left\{\frac{\mathbf{7}}{\mathbf{5}}\right\} \rightarrow \boldsymbol{R}-\left\{\frac{\mathbf{3}}{\mathbf{5}}\right\} \)
is defined by \( f(x)=\frac{3 x+4}{5 x-7} \) and \( g: R- \) \( \left\{\frac{3}{5}\right\} \rightarrow R-\left\{\frac{7}{5}\right\} \) is defined by \( g(x)= \)
\( \frac{7 x+4}{5 x-3} \)
then \( \log =l_{A} \) and gof \( =l_{B}, \) where \( l_{A} \) and
\( l_{B} \) are called identity functions on sets
\( A \) and \( B \)
Subject: Physics
36 identical cell each having emf 1.5 volt
and internal resistance \( 0.5 \Omega \) are
connected in series with an external
resistance of \( 12 \Omega \). If 6 cells are wrongly connected then current through the circuit will be
A \( \cdot 1.2 \mathrm{A} \)
B. 1 A
\( c \cdot 2 A \)
D. 4 A
Subject: Maths
Assertion
Consider the points \( A, B \) and \( C \) The vector sum, \( \overrightarrow{\boldsymbol{A B}}+\overrightarrow{\boldsymbol{B C}}+\overrightarrow{\boldsymbol{C A}}=\overrightarrow{\mathbf{0}} \)
Reason
\( A, B \) and \( C \) form the vertices of a
triangle.
A. Assertion and Reason are correct and the Reason is the correct explanation for the Assertion
B. Assertion and Reason are correct but the Reason is not the correct explanation for the Assertion
c. Assertion is correct while the Reason is incorrect
D. Assertion is incorrect while the Reason is correct
Subject: Maths
Verify: \( (\boldsymbol{a}+\boldsymbol{b})^{3}=\boldsymbol{a}^{3}+\boldsymbol{3} \boldsymbol{a}^{2} \boldsymbol{b}+\boldsymbol{3} \boldsymbol{a} \boldsymbol{b}^{2}+ \)
\( b^{3} \)
Subject: Maths
For what value of \( \boldsymbol{m}, \) the points \( (\boldsymbol{3}, \mathbf{5}) \) \( (m, 6) \) and \( \left(\frac{1}{2}, \frac{15}{2}\right) \) are collinear?
\( A \cdot 9 \)
B. 5
\( c .3 \)
D.
Subject: Maths
\( \frac{\mathbf{d}^{2} \mathbf{x}}{\mathbf{d} \mathbf{y}^{2}} \) equals
A \( \cdot\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)^{-1} \)
B \( \cdot \quad-\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)^{-1}\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-3} \)
C \( \cdot\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-2} \)
D \( \cdot \)
\( -\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-3} \)
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{ccc}1 & 0 & 2 \\ 0 & 2 & 1 \\ 2 & 0 & 3\end{array}\right) \) and \( A^{3}-6 A^{2}+ \)
\( 7 A+k I^{3}=0, \) find \( k \)
Subject: Physics
A copper wire and a steel wire of the
same length and same cross section are joined end to end to form a
composite wire. The composite wire is hung from a rigid support and a load is suspended from the other end. If the increase in length of the composite wire is 2.4 mm, then the increase in lengths
of steel and copper wires are:
\( \left(Y_{c u}=10 \times 10^{10} N / m^{2}, Y_{s t e e l}=2 \times\right. \)
\( \left.10^{11} N / m^{2}\right) \)
\( \mathbf{A} \cdot 1.2 m m, 1.2 m m \)
в. \( 0.6 \mathrm{mm}, 1.8 \mathrm{mm} \)
c. \( 0.8 m m, 1.6 m m \)
D. \( 0.4 \mathrm{mm}, 2.0 \mathrm{mm} \)
Subject: Maths
If it rains on Republic Day parade an
Auto Riksha earns Rs. \( 240, \) on the other
hand it does not rain he loses Rs. \( 60 . \) The
probability of rain on Republic Day parade is \( 0.6 . \) What is the value of expected income of an Auto Riksha on
Republic Day parade?
A . Rs. 150
B. Rs. 45
c. Rs. 120
D. Rs. 10
Subject: Physics
The kinetic energies of a planet in an elliptical orbit about the Sun, at
positions \( A, B \) and \( C \) are \( K_{A}, K_{B} \) and
\( K_{C} \) respectively. \( A C \) is the major axis and \( S B \) is perpendicular to \( A C \) at the position of the Sun \( S \) as shown in the
figure. Then.
A \( \cdot K_{B}<K_{A}<K_{C} \)
B. \( K_{A}<K_{B}<K_{C} \)
с. \( K_{B}>K_{A}>K_{C} \)
D. \( K_{A}>K_{B}>K_{C} \)
Subject: Chemistry
In a solution of 7.8 gm benzene \( C_{6} H_{6} \)
and 46.0 gm toluene \( \left(C_{6} H_{5} C H_{3}\right), \) the
mole fraction of benzene in this solution
is:
A . \( 1 / 6 \)
B. \( 1 / 5 \)
\( c \cdot 1 / 2 \)
\( D \cdot 1 / 3 \)
Subject: Maths
Construct a quadrilateral \( P Q R S \) with
\( \boldsymbol{P Q}=\mathbf{8} \mathrm{cm}, \boldsymbol{Q} \boldsymbol{R}=\boldsymbol{6} \mathrm{cm}, \angle \boldsymbol{P}= \)
\( \mathbf{6 0}^{\circ}, \angle \boldsymbol{Q}=\mathbf{4 5}^{\circ}, \angle \boldsymbol{R}=\mathbf{6 0}^{\circ} \)
Subject: Chemistry
The correct sequence of increasing covalent character is represented by :
A \( \cdot \operatorname{Becl}_{2}< \) Nacl \( < \) Lic
B. NaCI<LiCI <BeCla
\( \mathrm{c} \cdot \mathrm{BeCl}_{2}<\mathrm{LiCl}<\mathrm{NaCl} \)
D. LiCI<NaCI<BeCI
Subject: Maths
The number of solutions for the system of equations \( 2 x+y=4,3 x+2 y=2 \)
and \( \boldsymbol{x}+\boldsymbol{y}=-\boldsymbol{2} \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
D. infinitely many
E .
Subject: Physics
A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 A. The uncertainty of its velocity is
A. \( 5.79 \times 10^{5} \mathrm{ms}^{-1} \)
B. \( 8.79 \times 10^{5} \mathrm{ms}^{-1} \)
C. \( 5.79 \times 10^{4} \mathrm{ms}^{-1} \)
D. \( 3.79 \times 10^{5} \mathrm{ms}^{-1} \)
Subject: Maths
For the three events \( A, B \) and \( C, P \)
(exactly one of the events \( \boldsymbol{A} \) or \( \boldsymbol{B} \) occurs \( )=P(\text { exactly one of the events } B \) or \( C \text { occurs })=P( \) exactly one of the events \( C \text { or } A \text { occurs })=p \) and \( P( \) all the
three events occur simultaneously) \( = \)
\( p^{2}, \) where \( 0<p<1 / 2 . \) Then the
probability of at least one of the three events \( A, B \) and \( C \) occurring is
\( ^{\mathrm{A}} \cdot \frac{3 p+2 p^{2}}{2} \)
\( ^{\text {В } \cdot \frac{p+3 p^{2}}{4}} \)
c. \( \frac{p+3 p^{2}}{2} \)
\( \frac{3 p+2 p^{2}}{4} \)
Subject: Physics
A bar magnet oscillates with a
frequency of10 oscillations per minute. When another bar magnet is placed on its axis at a small distance, it oscillates
at 14 oscillations per minute. Now, the second bar magnet is turned so that poles are instantaneous, keeping the location same. The new frequency of oscillation will be
\( A \cdot 2 \) vibrations/min
B. 4 vibrations/min
c. 10 vibrations/min
D. 14 vibrations/min
Subject: Chemistry
In the following sets of reactants which two sets exhibit the amphoteric
character of \( \boldsymbol{A l}_{2} \boldsymbol{O}_{3} \cdot \boldsymbol{x} \boldsymbol{H}_{2} \boldsymbol{O} ? \)
\( \operatorname{set} 1: A l_{2} O_{3} \cdot x H_{2} O(s) \) and \( O H^{-}(a q) \)
\( \operatorname{set} 2: A l_{2} O_{3} \cdot x H_{2} O(s) \) and \( H_{2} O(l) \)
\( \operatorname{set} 3: A l_{2} O_{3} \cdot x H_{2} O(s) \) and \( H^{+}(a q) \)
\( \operatorname{set} 4: A l_{2} O_{3} \cdot x H_{2} O(s) \) and \( N H_{3}(a q) \)
A . 1 and 2
B. 1 and 3
\( c \cdot 2 \) and 4
D. 3 and 4
Subject: Chemistry
The correct decreasing order of basic
strength is :
\( \mathbf{A} \cdot A s H_{3}>S b H_{3}>P H_{3}>N H_{3} \)
B \( \cdot S b H_{3}>A s H_{3}>P H_{3}>N H_{3} \)
\( \mathbf{C} \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \)
\( \mathbf{D} \cdot P H_{3}>A s H_{3}>S b H_{3}>N H_{3} \)
Subject: Physics
An iron block of mass \( 2 k g \), falls from a
height of \( 10 m . \) After colliding with the ground it loses \( 25 \% \) energy to surroundings and rest is gained as heat. Then find the temperature rise of the block. (Take sp. heat of iron
\( \left.470 J / k g^{\circ} C\right) \)
A. \( 0.53^{\circ} \) C C \( C \) ?
B. \( 0.053^{\circ} \mathrm{C} \)
c. \( 0.159^{\circ} \mathrm{C} \)
D. \( 0.212^{\circ} \mathrm{C} \)
Subject: Chemistry
In III group precipitation, \( N H_{4} C l \) is
added before adding \( N H_{4} O H \) to
A . Decrease conc. of \( O H^{-} \)
B. Prevent interference of \( P O_{4}^{3-} \)
c. Increase conc. of \( C l^{-} \)
D. Increase conc. of \( O H^{-} \) ion
Subject: Physics
A biconvex lens has focal length of 25
cm. the radius of curvature of one the
surface is double of the other. Find the
radii. given \( \mu_{l e n s}=1.5 \)
A. \( 37.5 \mathrm{cm}, 75 \mathrm{cm} \)
B. \( 18.75 \mathrm{cm}, 37.5 \mathrm{cm} \)
\( c .7 .5 \mathrm{cm}, 15 \mathrm{cm} \)
D. \( 15 \mathrm{cm}, 30 \mathrm{cm} \)
Subject: Physics
A carom board \( (4 f t \times 4 f t \text { square }) \) has
the queen at the centre. The queen, hit by the striker moves to the front edge, rebounds and goes in the hole behind the striking line. Find the magnitude of displacement of the queen
(i) from the centre to the front edge
\( (i i) \) from the front edge to the hole and
(iiii) from the centre of the hole.
A.
\( (i) \frac{2}{3} \sqrt{10} f t(i i) \frac{4}{3} \sqrt{10} f t(i i i) 2 \sqrt{2} f t \)
в.
(i) \( \frac{4}{3} \sqrt{10} f t(i i) \frac{4}{3} \sqrt{10} f t(i i i) 2 \sqrt{2} f t \)
\( c \)
(i) \( \frac{4}{3} \sqrt{10} f t(i i) \frac{2}{3} \sqrt{10} f t(i i i) 2 \sqrt{2} f t \)
\( D \)
\( (i) \frac{2}{3} \sqrt{10} f t(i i) \frac{2}{3} \sqrt{10} f t(i i i) 2 \sqrt{2} f t \)
Subject: Physics
What is the moment of inertia of each of
the following uniform objects about the
axes indicated?
A. \( A \) 2.50-kg sphere, 31.0 -cm in diameter about an axis through its center, if the sphere is solid.
B. A 2.50-kg sphere, 31.0-cm in diameter about an axis through its center, if the sphere is a thin-walled hollow shell.
C. An 8.00 -kg cylinder of length 17.0 -cm and diameter \( 20.0-\mathrm{cm} \) about the central axis of the cylinder, if the cylinder is thin-walled and hollow.
D. An 8.00-kg cylinder of length 17.0-cm and diameter 20.0-cm about the central axis of the cylinder, if the cylinder is solid.
Subject: Maths
Find Integrals of given function:
\( \int \tan \theta \tan ^{2} \theta \sec ^{2} \theta d \theta \)
\( ^{A} \cdot \frac{2 \tan ^{4} \theta}{4}+c \)
\( ^{\text {В }} \cdot \frac{\tan ^{4} \theta}{4}+c \)
c. \( \frac{\tan ^{4} \theta}{8}+c \)
D. None of these
Subject: Maths
Let \( Q(x) \) denotes the quotient which results from the division of the
polynomial \( x^{5}+3 x^{4}-x^{3}+8 x^{2}-x+ \)
\( 8 \mathrm{by} x^{2}+1 \) The sum of the square of the coefficient of \( Q(x) \) is
A . 36
B. 37
c. 38
D. 39
Subject: Chemistry
Calculate \( \Delta H^{o} \) for the reaction,
\( N a_{2} O(s)+S O_{3}(g) \rightarrow N a_{2} S O_{4}(g) \)
using the following:
\( N a(s)+H_{2} O(l) \rightarrow N a O H(s)+ \)
\( \frac{1}{2} H_{2}(g) ; \Delta H^{o}=-146 k J \)
\( N a_{2} S O_{4}(s)+H_{2} O(l) \rightarrow \)
\( 2 N a O H(s)+S O_{3}(g) ; \Delta H^{o}= \)
\( +418 k J \)
\( \mathbf{2} N \boldsymbol{a} \boldsymbol{O}(\boldsymbol{s})+\mathbf{2} \boldsymbol{H}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{4} \boldsymbol{N} \boldsymbol{a}(\boldsymbol{s})+ \)
\( 2 H_{2} O(l) ; \Delta H^{o}=+259 k J \)
A \( .+823 \mathrm{kJ} \)
B. - 581 k
\( c \ldots-435 k J \)
\( D \cdot+531 \mathrm{k} \)
Subject: Maths
If \( a, b, c \) are in \( A . P . \) and \( P \) is the \( A . M . \)
between \( a \) and \( b, \) and \( q \) is the \( A . M \)
between \( b \) and \( c, \) show that \( b \) is the
A. \( M . \) between \( p \) and \( q \)
Subject: Chemistry
\( 4.6 \mathrm{cm}^{3} \) of methyl alcohol is dissolved in \( 25.2 \mathrm{g} \) of water. Calculate mole fraction of methyl alcohol and water. (Given density of methyl alcohol = \( \mathbf{0 . 7 9 5 2 g c m}^{-\mathbf{3}} \) and \( \boldsymbol{C}=\mathbf{1 2}, \boldsymbol{H}=\mathbf{1}, \boldsymbol{O}= \)
\( \mathbf{1 6}) \)
Subject: Physics
A body of mass \( x k g \) is moving with
velocity of \( 100 m \) sec \( ^{-1} \). Its de Broglie wavelength is \( 6.62 \times 10^{-35} \) m. Hence \( x \)
is:
\( \left[\boldsymbol{h}=\mathbf{6 . 6 2} \times \mathbf{1 0}^{-\mathbf{3 4}} \boldsymbol{J}-\boldsymbol{s e c}\right] \)
A. \( 0.25 k g \)
B. \( 0.15 k g \)
c. \( 0.2 k g \)
D. \( 0.1 k g \)
Subject: Maths
Prove for \( \boldsymbol{n} \in \mathbb{N} \)
\( \mathbf{1} . \mathbf{3}+\mathbf{2} . \mathbf{3}^{2}+\mathbf{3} . \mathbf{3}^{3}+\ldots+\boldsymbol{n} . \mathbf{3}^{n}= \)
\( \frac{(2 n-1) 3^{n+1}+3}{4} \)
Subject: Maths
The value of \( \sin 51^{\circ}+\cos 81^{\circ} \) is
A . \( \cos 21^{\circ} \)
B. \( \sin 21^{\circ} \)
\( \mathbf{c} \cdot \cos 42^{\circ} \)
\( \mathbf{D} \cdot \sin 42^{\circ} \)
Subject: Maths
Of the 1000 inhabitants of a town, \( 60 \% \)
are males of whom \( 20 \% \) are literate. If of
all the inhabitants \( 25 \% \) are literate, then
what per cent of the females of the town are literate?
A . \( 22.5 \% \)
B . \( 27.5 \% \)
c. \( 32.5 \% \)
D. 37.5\%
Subject: Physics
The magnetic field in a certain region is given by \( \vec{B}=(4.0 \hat{i}-1.8 \hat{k}) \times 10^{-3} T \)
How much flux passes through a \( 5.0 \mathrm{cm}^{2} \) area loop in this region if the
loop lies flat on the \( x-y \) plane?
A \( \cdot 8 \times 10^{-5} \mathrm{Wb} \)
B . \( 3 \times 10^{-5} \mathrm{Wb} \)
c. \( 9 \times 10^{-7} W b \)
D. \( 3 \times 10^{-7} \mathrm{Wb} \)
Subject: Physics
A ball of mass \( 50 \mathrm{g} \) is thrown upwards. Its rises to a maximum height of \( 100 \mathrm{m} \) At what height its kinetic energy will be
reduced to \( 70 \% \) :
A. 30 m
B. \( 40 \mathrm{m} \)
\( c . \) 60m
D. 70m
Subject: Physics
A particle suspended from a vertical spring oscillates 10 times per second. At the highest point of oscillation, the spring becomes unstretched. Find the speed when the spring is stretched by
\( 0.20 \mathrm{cm} .\left(\text { Take }, g=\pi^{2} m / s^{2}\right) \)
A. \( 110.25 \mathrm{cm} / \mathrm{s} \)
в. \( 12.14 \mathrm{cm} / \mathrm{s} \)
c. \( 15.4 \mathrm{cm} / \mathrm{s} \)
D. \( 16.7 \mathrm{cm} / \mathrm{s} \)
Subject: Maths
\( A B \) and \( C D \) are two parallel chords of a circle such that \( A B=10 \mathrm{cm}, C D=24 \mathrm{cm} \)
If the chords are on opposite sides of the centre and distance between them is 17
\( \mathrm{cm}, \) the radius of the circle is
\( A \cdot 10 \mathrm{cm} \)
B. \( 11 \mathrm{cm} \)
c. \( 12 \mathrm{cm} \)
D. \( 13 \mathrm{cm} \)
Subject: Physics
A block of mass \( 5 ~ K g \) is at rest on a smooth horizontal surface. Water
coming out of a pipe horizontally at the
rate of \( 2 K g s^{-1}, \) hits the block with a
velocity of \( 6 m s^{-1} \). The initial
acceleration of the block is:
A. zero
В. \( 1.2 \mathrm{ms}^{-2} \)
c. \( 2.4 \mathrm{ms}^{-2} \)
D. \( 0.6 m s^{-2} \)
Subject: Physics
In a steady state the temperature of the ends \( A \) and \( B \) of a \( 20 \mathrm{cm} \) long rod \( A B \) is
\( 100^{\circ} \mathrm{C} \) and \( 0^{\circ} \mathrm{C} . \) The temperature at the point c distant \( 9 \mathrm{cm} \) from a is :
A \( \cdot 45^{\circ} \mathrm{C} \)
В. \( 55^{\circ} \) С
\( c \cdot 60^{\circ} \mathrm{C} \)
D. \( 65^{\circ} \mathrm{C} \)
Subject: Physics
A body of mass \( 0.1 \mathrm{kg} \) is dropped from a
height of \( 10 \mathrm{m} \) at a place wheres \( g= \)
\( 10 m s^{-2} . \) Its KE just before its strikes
the ground is:
A . 1
B. 1.04 J
c. 3.5
D. 10J
Subject: Chemistry
The number of ions given by one
molecule of \( \boldsymbol{K}_{4} \boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6} \) after complete
dissociation is
\( \mathbf{A} \cdot \mathbf{5} \)
B. 11
\( c \cdot 2 \)
D. 10
Subject: Physics
The dimensional formula for plank's
constant and angular momentum are
\( \mathbf{A} \cdot\left[M L^{2} T^{-2}\right] \) and \( \left[M L T^{-1}\right] \)
B \( \cdot\left[M L^{2} T^{-1}\right] \) and \( \left[M L^{2} T^{-1}\right] \)
\( \mathbf{c} \cdot\left[M L^{3} T^{1}\right] \) and \( \left[M L^{2} T^{-2}\right] \)
D・ \( \left[M L^{2} T^{-1}\right] \) and \( \left[M L^{2} T^{-2}\right] \)
Subject: Physics
The \( Q \) - factor of a resonant circuit is
equal to
\( ^{\mathbf{A}} \cdot \frac{1}{L} \sqrt{\frac{R}{C}} \)
в. \( \frac{1}{R} \sqrt{\frac{L}{C}} \)
c. \( \frac{1}{R L} \sqrt{C} \)
D. \( \frac{1}{C} \sqrt{\frac{R}{L}} \)
Subject: Chemistry
Element \( X \) is a metal with a valency 2
Element \( Y \) is a non-metal with a
valency 3.
The balance equations to show how \( \boldsymbol{X} \) and \( Y \) form ions is :
A. \( X-2 e^{-} \rightarrow X^{2+} \)
B. \( Y+2 e^{-} \rightarrow Y^{2} \)
c. \( X-e^{-} \rightarrow X^{+} \)
D. None of these
Subject: Physics
When a battery connected across a resistor of \( 15 \Omega, \) voltage across the resistor in \( 12 V . \) When the same battery
is connected across a resistor of \( 10 \Omega \)
voltage across it is \( 11 \mathrm{V} \). The internal
resistance of the battery (in ohm) is
A. \( \frac{10}{7} \)
в. \( \frac{20}{7} \)
\( c \cdot \frac{2}{7} \)
D. \( \frac{30}{7} \)
Subject: Chemistry
In the following reaction, \( A \rightarrow B \), rate
constant is \( 1.2 \times 10^{-2} M s^{-1} . \) What is
the concentration of \( B \) after 10 min, if
we start with \( 10 M \) of \( A ? \)
A. 7.2 \( M \)
B. 4.5 M
\( c \cdot 6.7 M \)
D. 7.0 M
Subject: Biology
Which of the following statement is
incorrect? Choose answer:
A. The acid insoluble fraction, has only four types of organic compounds, proteins, polysaccharides nucleic acids and lipids
B. Chemical compounds found in living organisms are of two types, acid soluble and acid insoluble
C. The compounds which are found in the acid insoluble fraction are called micromolecules
D. The acid soluble pool represents roughly the cytoplasmic composition
Subject: Chemistry
A compound on analysis gave the following percentage composition by weight: Hydrogen \( =9.09 \%, \) Oxygen \( = \)
\( 36.36 \%, \) Carbon \( =54.55 \% . \) It's vapour
density is \( 44 . \) If the molecular formula of
the compound is \( C_{x} H_{y} O_{z}, \) then find the
value of \( \boldsymbol{x}, \boldsymbol{y} \) and \( \boldsymbol{z} \)
A. \( x=4, y=8, z=2 \)
в. \( x=3, y=6, z=3 \)
c. \( x=5, y=10, z=4 \)
D. None of the above
Subject: Physics
According to Maxwell's equation, the velocity of light in any medium is expressed as
A \( \cdot \frac{1}{\sqrt{\mu_{0} \varepsilon_{o}}} \)
в. \( \frac{1}{\sqrt{\mu \varepsilon}} \)
c. \( \sqrt{\frac{\mu}{\varepsilon}} \)
D. \( \sqrt{\frac{\mu_{0}}{\varepsilon}} \)
Subject: Chemistry
Partial roasting of chalcopyrite
produces
A \( \cdot \mathrm{Cu}_{2} \mathrm{S} \) and \( \mathrm{Fe} \mathrm{O} \)
B. \( \mathrm{Cu}_{2} \mathrm{O} \) and \( \mathrm{FeO} \)
c. \( \mathrm{CuS} \) and \( \mathrm{Fe}_{2} \mathrm{O}_{3} \)
D. \( \mathrm{Cu}_{2} \mathrm{O} \) and \( \mathrm{Fe}_{2} \mathrm{O}_{3} \)
Subject: Physics
The velocity of central maxima at \( t=5 s \)
\( \mathbf{i} \mathbf{S} \)
A \( .50 m s^{-1} \) along Y-axis
B. \( 50 m s^{-1} \) along negative Y-axis
\( \mathrm{c} \cdot 3 \times 10^{8} \mathrm{m} \mathrm{s}^{-1} \) along \( \mathrm{Y} \) -axis
D. \( 3 \times 10^{8} \mathrm{m} \mathrm{s}^{-1} \) along negative Y-axis
Subject: Chemistry
Assertion
Vinylic halides are reactive towards nucleophilic substitution reaction.
Reason Reactivity is due to the polarity of carbon-halogen bond.
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. The Assertion is correct but the Reason is incorrect
D. The Assertion is incorrect but the Reason is incorrect
Subject: Maths
The point in the \( x y- \) plane which is
equidistant from (2,0,3),(0,3,2) and (0,0,1) is
A \( .(1,2,3) \)
В. (-3,2,0)
c. (3,-2.0)
D. (3,2,0)
E \( .(3,2,1) \)
Subject: Chemistry
Excess of \( K l \) was added to
\( 100 m l H_{2} O_{2} \) solution of unknown
strength along with sufficient \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) lodine liberated was titrated against
\( 40 m l \) of \( 0.1 M \) hypo solution. The
concentration of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) solution is:
A \( .0 .04 \mathrm{N} \)
в. 0.04 М
c. \( 0.68 g m / L \)
D. \( 0.02 \mathrm{M} \)
Subject: Maths
Logically equivalent statement to \( \boldsymbol{p} \leftrightarrow \boldsymbol{q} \)
is
\( \mathbf{A} \cdot(p \rightarrow q) \wedge(q \rightarrow p) \)
\( \mathbf{B} \cdot(p \wedge q) \vee(q \rightarrow p) \)
\( \mathbf{c} \cdot(p \wedge q) \rightarrow(q \vee p) \)
D. none of these
Subject: Chemistry
For the reaction, \( 2 N O C l(g) \rightleftharpoons \)
\( \mathbf{2} N \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) ; \boldsymbol{K}_{c} \) at \( \mathbf{4 2 7}^{\circ} \) is \( \boldsymbol{3} \times \)
\( \mathbf{1 0}^{-6} . \) The value of \( \boldsymbol{K}_{\boldsymbol{p}} \) is nearly:
A \( .7 .50 \times 10^{-5} \)
B . \( 2.50 \times 10^{-5} \)
c. \( 2.50 \times 10^{-4} \)
D. \( 1.72 \times 10^{-4} \)
Subject: Physics
(a) A rod of length I is moved horizontally with a uniform velocity 'v' in a direction perpendicular to its length
through a region in which a uniform magnetic field is acting vertically downward. Derive the expression for the
emf induced across the ends of the rod.
(b) How does one understand this
motional emf by invoking the Lorentz force acting on the free charge carriers of the conductor? Explain.
Subject: Chemistry
The solubility of \( B a_{3}\left(A s O_{4}\right)_{2} \) (formula
mass \( =\mathbf{6 9 0} \) ) is \( \mathbf{6 . 9} \times \mathbf{1 0}^{-\mathbf{2}} \mathbf{g} / \mathbf{L} . \) What is
the \( \boldsymbol{K}_{s p} ? \)
A \( .1 .08 \times 10^{-11} \)
B . \( 1.08 \times 10^{-13} \)
c. \( 1.0 \times 10^{-15} \)
D. \( 6.0 \times 10^{-13} \)
Subject: Chemistry
The increasing order of basic strength for the following compounds is:
(।) \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{N} \boldsymbol{H}_{2} \)
(II) \( \boldsymbol{C H}_{3}-\boldsymbol{N} \boldsymbol{H}-\boldsymbol{C H}_{3} \)
(III) \( \boldsymbol{C H}_{3}-\boldsymbol{N} \boldsymbol{H}-\boldsymbol{P h} \)
\( (\mathrm{IV}) \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{N} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H} \boldsymbol{O} \)
A. \( I V<I I I<I>I I \)
в. \( I I I<I V<I>I I \)
c. \( I V<I I I<I I>I \)
D. \( I I<I<I I I>I V \)
Subject: Physics
Velocity' \( V^{\prime} \) of a wave is directly
proportional to modulus of elasticity' \( \boldsymbol{E} \) and density ' \( d \) of a medium. The
expression of ' \( V \) ' using dimensional analysis is:
A \( \cdot V=\frac{E}{\sqrt{d}} \)
B. \( V=\frac{\sqrt{E}}{d} \)
c. \( v=\sqrt{\frac{E}{d}} \)
D. \( V=\sqrt{E D} \)