AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The dimension of \( \left(\frac{1}{2}\right) \varepsilon_{0} \boldsymbol{E}^{2} \) is \( \left(\varepsilon_{0}\right. \)
permittivity of free space, Electric field)
A . \( M L T^{-} \)
В. \( M L^{2} T^{-2} \)
c. \( M L^{-1} T^{-2} \)
D. \( M L^{2} T^{-1} \)
Subject: Maths
Find the ratio in which the \( y \) -axis
divides the line segment joining the points \( \boldsymbol{A}(\boldsymbol{3}, \boldsymbol{4}) \) and \( \boldsymbol{B}(-\boldsymbol{2}, \mathbf{1}) . \) Also, find
the point of intersection.
A \( \cdot 3: 2,\left(0, \frac{11}{5}\right) \)
в. \( _{1: 2,\left(0, \frac{13}{5}\right)} \)
c. \( _{1: 2,\left(0, \frac{3}{5}\right)} \)
D. \( 3: 4,\left(0, \frac{13}{5}\right) \)
Subject: Physics
A long wire bent as shown in figure
carries current \( I . \) If the radius of the
semicircular portion is \( a \), the magnetic
field at center \( C \) is:
A \( \cdot \frac{\mu_{0} I}{4} \)
B. \( \frac{\mu_{0} I}{4 \pi a} \sqrt{\pi^{2}+4} \)
c. \( \frac{\mu_{0} I}{4 a}+\frac{\mu_{0} I}{4 \pi a} \)
D. \( \frac{\mu_{0} I}{4 \pi a} \sqrt{\pi^{2}-4} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{y})=\boldsymbol{e}^{\boldsymbol{y}}, \boldsymbol{g}(\boldsymbol{y})=\boldsymbol{y} ; \boldsymbol{y}>\mathbf{0} \) and
\( \boldsymbol{F}(\boldsymbol{t})=\int_{0}^{t} \boldsymbol{f}(\boldsymbol{t}-\boldsymbol{y}) \boldsymbol{g}(\boldsymbol{y}) \boldsymbol{d} \boldsymbol{y}, \) then which
of the following is true?
A \( \cdot F(t)=e^{t}-(1+t) \)
B \( \cdot F(t)=t e^{t} \)
c. \( F(t)=t e^{-t} \)
D. \( F(t)=1-e^{-t}(1+t) \)
Subject: Chemistry
\( \Delta_{r} H \) of which of the following reaction
is zero?
\( \mathbf{A} \cdot H_{2(g)} \rightarrow 2 H_{(g)}^{+}+2 e^{-} \)
B. \( 2 H_{(g)}+a q \rightarrow 2 H_{(a q)}^{+}+2 e^{-} \)
\( \mathbf{c} \cdot 2 H_{(g)} \rightarrow 2 H_{(g)}^{+}+2 e^{-} \)
D. \( H_{2(g)}+a q \rightarrow 2 H_{(a q)}^{+}+2 e^{-} \)
Subject: Physics
Point charge \( q_{0} \) is placed inside a cone of base radius 'R', x distance below
centre of the top surface as shown in figure.Find electric flux related to
curved surface of the cone:-
A \( \cdot \frac{q}{2 \varepsilon_{0}} \)
в. \( \frac{q}{\varepsilon_{0}}-\frac{q}{2 \varepsilon_{0}}\left(1-\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \)
c. \( \frac{q}{\varepsilon_{0}}\left(1-\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \)
D. \( \frac{q}{\varepsilon_{0}} \times\left(\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \)
Subject: Maths
\( 2 n \) boys are randomly divided into two
subgroups containing \( n \) boys each. The
probability that the two tallest boys are in different groups is
A \( . n /(2 n-1) \)
B. \( (n-1) /(2 n-1) \)
c. \( (n-1) / 4 n^{2} \)
D. None of these
Subject: Maths
Looking at the pattern, fill in the gaps in the following
\( \mathbf{3} \)
\( 4 \quad-5 \)
, and
\( \begin{array}{cccc}2^{3}= & 3^{3}= & \ldots= & \ldots \ldots \\ 8 & \ldots \ldots & 64 & \ldots\end{array} \)
Subject: Physics
Two large, parallel conducting plates \( x \) and \( Y, \) kept close to each other, are given charges \( Q_{1} \) and \( Q_{2}\left(Q_{1}>Q_{2}\right) \). The
four surfaces of the plates are \( A, B, C \) and \( D, \) as shown in figure. Then :
This question has multiple correct options
A ' the charge on A is \( \frac{1}{2}\left(Q_{1}+Q_{2}\right) \)
B ' the charge on B is \( \frac{1}{2}\left(Q_{1}-Q_{2}\right) \)
c. The charge on \( c \) is \( -\frac{1}{2}\left(Q_{1}-Q_{2}\right) \)
D ' the charge on D is \( \frac{1}{2}\left(Q_{1}+Q_{2}\right) \)
Subject: Maths
Two adjacent sides of a parallelogram are \( 34 \mathrm{cm} \) and \( 20 \mathrm{cm} . \) One of its
diagonals is \( 42 \mathrm{cm} . \) Then the area of the parallelogram is
\( \mathbf{A} \cdot 612 \mathrm{sq.cm} \)
B. 672 sq.cm
c. 784 sq.cm
D. 796 sq.cm
Subject: Physics
A uniform chain of length \( 2 m \) is kept on
a table such that a length of \( 50 \mathrm{cm} \)
hangs freely from the edge of the table. The total mass of the chain is \( 5 k g . \) What
is the work done in pulling the entire chain on the table. (in J)
A . 7.2
B. 3
c. 4.6
D. 12
Subject: Maths
Assertion
The inverse of the matrix \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right]_{n \times n} \)
where \( a_{i j}=0, i \geq j \) is \( B=\left[a_{i j}^{-1}\right]_{n \times n} \)
Reason
The inverse of singular matrix does not exist.
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: Physics
A steady current flows in a long wire. It is bent into a circular loop of one turn and the magnetic field at the centre of
the coil is \( B \). If the same wire is bent
into a circular loop of \( n \) turns, the magnetic field at the centre of the coil
is:
A \( \cdot \frac{B}{n} \)
в. \( n B \)
\( c \cdot n B^{2} \)
D . \( n^{2} B \)
Subject: Maths
\( \lim _{x \rightarrow 0} \frac{1-\cos x \cos 2 x \cos 3 x}{\sin ^{2} 2 x} \) is equal to
\( A \cdot 7 / 2 \)
в. \( 7 / 3 \)
\( c \cdot 7 / 4 \)
D. \( 7 / 5 \)
Subject: Maths
A sphere with diameter \( 50 \mathrm{cm} \)
intersects a plane \( 14 \mathrm{cm} \) from the center of the sphere. What is the
number of square centimeters in the area of the circle formed?
A . \( 49 \pi \)
в. \( 196 \pi \)
c. \( 429 \pi \)
D. \( 576 \pi \)
E . \( 2304 \pi \)
Subject: Maths
A worker uses a forklift to move boxes hat weigh either 40 pounds or 65 pound
s each. Let \( x \) be the number of 40
pound boxes and \( y \) be the number of 65
pound. The forklift can carry upto either
45 boxes or a weight of 2400 pound Which of the following systems of inequalities represents this relationship?
\( \left\{\begin{array}{l}40 x+65 y \leq 2,400 \\ x+y \leq 45\end{array}\right. \)
в. \( \left\{\frac{y}{40}+\frac{y}{65} \leq 2,400\right. \)
c. \( \left\{\begin{array}{l}40 x+65 y \leq 45 \\ x+y \leq 2,400\end{array}\right. \)
D. \( \left\{\begin{array}{l}x+y \leq 2,400 \\ 40 x+65 y \leq 2,400\end{array}\right. \)
Subject: Chemistry
The decreasing order of the rate of nitration of the following compounds is:
I. Benzene \( I I . C_{6} D_{6} \)
III. Nitrobenzene \( I V . \) Chlorobenzene
A \( \cdot(I)>(I I)>(I I I)>(I V) \)
в. \( (I)>(I I)>(I V)>(I I I) \)
c. \( (I)=(I I)>(I V)>(I I I) \)
D. \( (I)=(I I)>(I I I)>(I V) \)
Subject: Maths
\( \int \frac{x}{\sqrt{9+8 x-x^{2}}} d x \) is equal to
A \( \cdot-\sqrt{9+8 x-x^{2}}+4 \sin ^{-1}\left(\frac{x-4}{5}\right)+C \)
B. \( -\sqrt{9+8 x-x^{2}}+4 \cos ^{-1}\left(\frac{x-4}{5}\right)+C \)
c. \( -\sqrt{9+8 x-x^{2}}+4 \cos ^{-1}\left(\frac{x-3}{2}\right)+C \)
D \( \cdot \sqrt{9+8 x-x^{2}}+4 \sin ^{-1}\left(\frac{x-4}{5}\right)+C \)
Subject: Maths
The equations \( a x+b y+c=0 \) and
\( \boldsymbol{d} \boldsymbol{x}+\boldsymbol{e} \boldsymbol{y}+\boldsymbol{f}=\boldsymbol{0} \) represent the same
straight line if and only if
A \( \cdot \frac{a}{d}=\frac{b}{c} \)
в. \( c=f \)
c. \( \frac{a}{d}=\frac{b}{e}=\frac{c}{f} \)
D. \( a=d, b=e, c=f \)
Subject: Biology
What are these structures from A to D?
Select labels from the following.
A. A- Blaststyles, B- hydranth, C- planula larva, D- sexual zooids
B. A- Blaststyles, B- hydranth, C- sexual zooids, Dplanula larva
C. A- Hydranth, B- blaststyles, C- sexual zooids, Dplanula larva
D. A- Hydrant, B- blaststyles, C- planula larva, D- sexual zooids
Subject: Physics
One a.m.u. or one 'u' is equal to:
A \( \cdot 1.6605389210^{-27} \mathrm{kg} \)
B . \( 1.6605389210^{-29} \mathrm{kg} \)
c. \( 1.2345765610^{-27} \mathrm{kg} \)
D . \( 1.2345765610^{-29} \mathrm{kg} \)
Subject: Physics
A steady P.D. of \( 10 V \) produces heat at a
rate of \( ^{\prime} x^{\prime} \) in a resistor. The peak value of A.C. voltage which will produce heat at the rate of \( x / 2 \) in the same resistor
is:
A . \( 5 V \)
B. \( 5 \sqrt{2} v \)
\( c .10 V \)
D. \( 10 \sqrt{2} \mathrm{v} \)
Subject: Physics
What is the black circular aperture in
our eyes and why does it appear black?
A. The aperture is known as iris and it appears black as no light is reflected from it.
B. The aperture is known as pupil and it appears black as all light is reflected from it.
C. The aperture is known as iris and it appears black as all light is reflected from it.
D. The aperture is known as pupil and it appears black as no light is reflected from it.
Subject: Chemistry
\( \boldsymbol{p} \boldsymbol{H} \) of \( \boldsymbol{B a}(\boldsymbol{O H})_{2} \) solution is 12. Its
solubility product is :
A \( .5 .0 \times 10^{-7} \)
B. \( 0.6 \times 10^{-12} \)
c. \( 4.0 \times 10^{-8} \)
D. \( 5.0 \times 10^{-9} \)
Subject: Chemistry
Consider the following statements:
i) Atomic hydrogen is obtained by passing hydrogen through an electric
arc.
ii) Hydrogen gas will not reduce heated aluminium oxide.
iii) Finely divided palladium absorbs large volume of hydrogen gas.
iv) Pure nascent hydrogen is best
obtained by reacting \( N a \) with \( C_{2} H_{5} O H \)
Which of the above statement(s) is/are
correct?
A. i only
B. ii only
c. i, ii and iii
D. ii, iii and iv
Subject: Maths
\( \int e^{x}\left(\frac{x^{4}+x^{2}+1}{x^{2}+x+1}\right) d x= \)
A \( \cdot e^{x}\left(x^{4}+x^{2}+1\right)+c \)
B \( \cdot e^{x}\left(x^{2}+x+1\right)+c \)
c. \( e^{x}\left(x^{2}-3 x+4\right)+c \)
D. \( e^{x}\left(x^{2}-4 x+5\right)+c \)
Subject: Physics
Two concentric coils each of radius
equal to \( 2 \pi c m \) are placed at right
angles to each other. 3 Ampere and 4
ampere are the currents flowing in each coil respectively. The magnetic induction in \( W \) eber \( / m^{2} \) at the centre of
the coils will be \( \left(\mu_{0}=4 \pi x\right. \)
\( \left.\mathbf{1 0}^{-\mathbf{7}} \boldsymbol{W} \boldsymbol{b} / \boldsymbol{A}-\boldsymbol{m}\right) \)
A \( \cdot 12 \times 10^{-5} \)
B. \( 10^{-5} \)
\( c \cdot 5 \times 10^{-5} \)
D. \( 7 \times 10^{-5} \)
Subject: Maths
For all numbers a and ,b let \( a \odot b \) be
defined by \( a \odot b=a b+a+b . \) For all
numbers \( x, y \) and \( z, \) which of the following must be true?
I. \( \boldsymbol{x} \odot \boldsymbol{y}=\boldsymbol{y} \odot \boldsymbol{x} \)
Il. \( (x-1) \odot(x+1)=(x \odot x)-1 \)
III. \( \boldsymbol{x} \odot(\boldsymbol{x}+\boldsymbol{z})=(\boldsymbol{x} \odot \boldsymbol{y})+(\boldsymbol{x} \odot \boldsymbol{z}) \)
A. I only
B. II only
c. ॥ only
D. I and II only
E. I, II and III
Subject: Physics
The angular width of the central maximum in a single slit diffraction
pattern is \( 60^{\circ} . \) The width of the slit is 1
\( \mu \mathrm{m} . \) The slit is illuminated by
monochromatic plane waves. If another slit of same width is made near it,
Young's fringes can be observed on a
screen placed at a distance \( 50 \mathrm{cm} \) from the slits. If the observed fringe width is
1cm, what is slit separation distance? (i.e., distance between the centres of each slit.)
A. \( 75 \mu \) m
B. \( 100 \mu \) m
c. \( 25 \mu \) m
D. \( 50 \mu \) m
Subject: Physics
If the forward bias on p-njunction is
increased from zero to \( 0.045 V \), then no
current flows in the circuit. The
contact potential of junction i.e. \( V_{B} \) is
A. zero
B. \( 0.045 V \)
C. more than \( 0.045 V \)
D. less than \( 0.045 V \)
Subject: Physics
A Simple harmonic oscillator has a period of \( 0.01 s \) and an amplitude of \( 0.2 m . \) The magnitude of the velocity in \( m \) \( \sec ^{-1} \) at the mean position will be
A \( .20 \pi \)
в. 100
c. \( 40 \pi \)
D. \( 100 \pi \)
Subject: Chemistry
If fully charged battery contains 1.5 L of
\( 5.00 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4} \) in and \( 1.5 \mathrm{mol} \) of \( \mathrm{H}_{2} \mathrm{SO}_{4} \) is
consumed, concentration of \( H_{2} S O_{4} \) after
current is drawn is:
A . 3.50
B. 2.00 M
c. \( 4.25 \mathrm{M} \)
D. 4.00 M
Subject: Physics
Choose the correct statements:
This question has multiple correct options
A. For a closed surface, the surface integration \( \oint \vec{B} \cdot \overrightarrow{d s} \) is always zero, where \( \vec{B} \) is magnetic field
B. A current carrying circular loop is in a uniform external magnetic field and is free to rotate about its
diametrical axis will be in stable equilibrium when flux of total magnetic field (external field + field due to the
loop itself) is maximum.
C . Spectral energy distributed graph of a black body is shown in figure. If temperature (in \( \mathrm{K} \) ) of the black body is
doubled and surface area is halved, the area under the
graph will be eight times.
D. In keplers third law, \( \frac{T^{2}}{R^{3}} \) depends on the mass of the
Sun, around which a planet is revolving.
Subject: Physics
The magnetic induction at the centre 0
of the arc due to current in portion \( \boldsymbol{A B} \)
will be
A. zero
в. \( \frac{\mu_{0} i}{r} \)
c. \( \frac{\mu_{0} i}{2 r} \)
D. \( \frac{\mu_{0}}{4 r_{0}} \)
Subject: Physics
If the wavelength of particle of momentum \( P \) is equal to \( \lambda \), then what
will be its wavelength for momentum
\( \mathbf{1 . 5 P ?} \)
A \( \cdot \frac{2}{3} \lambda \)
в. \( \frac{4}{3} \lambda \)
c. \( \frac{3}{2} \)
D. \( \lambda \)
Subject: Maths
Which of the following equation shows the above graph?
A \( \cdot f(x)=x^{2}+9 \)
B. \( f(x)=(x-9)^{2} \)
\( \mathbf{c} \cdot f(x)=9-x^{2} \)
D. \( f(x)=-\left|x^{2}+9\right| \)
E \( \cdot f(x)=\mid-x^{2}+9 \)
Subject: Chemistry
\( \alpha \) -Hydroxypropanoic acid can be prepared from ethanal by following the steps given in the sequence.
A. Treat with \( H C N \) followed by acidic hydrolysis
B. Treat with \( N a H S O_{4} \) followed by reaction with \( N a_{2} C O_{3} \)
c. Treat with \( H_{2} S O_{4} \) followed by hydrolysis
D. Treat with \( K_{2} C r_{2} O_{7} \) in presence of sulphuric acid
Subject: Maths
If \( x^{2}+\frac{1}{x^{2}}=A \) and \( x-\frac{1}{x}=B \) then least value of \( \frac{\boldsymbol{A}}{\boldsymbol{B}} \) is
A .2
B. \( \sqrt{2} \)
\( c \cdot-\sqrt{2} \)
D. \( 2 \sqrt{2} \)
Subject: Physics
A boat is moving with velocity \( 3 \hat{i}+4 \hat{j} \)
with respect to ground. The water in the river is moving with velocity \( -3 \hat{i}-4 \hat{j} \) with respect to ground. The relative velocity of the boat with respect to water is
A. 83
B . \( -6 \hat{i}-8 \hat{j} \)
c. \( 6 \hat{i}+8 \hat{j} \)
D. \( 6 \hat{i} \)
Subject: Chemistry
In which of the following, racemic mixture is obtained on mixing its mirror images in 1: 1 molar ratio?
\( \mathbf{A} \cdot\left[C r(e n)_{3}\right]^{3+} \)
B \( \cdot\left[N i(D M G)_{2}\right] \)
c. \( \operatorname{Cis}-\left[\mathrm{Cu}(\text { Gly })_{2}\right] \)
D. All of the above
Subject: Physics
The stress versus strain graphs for wi
shown in the figure. If \( Y_{A} \) and \( Y_{B} \) are
then
A. \( Y_{B}=2 Y_{A} \)
B. \( Y_{A}=Y_{B} \)
c. \( Y_{B}=3 Y_{A} \)
D. \( Y_{A}=3 Y_{B} \)
Subject: Maths
Write any two Algebraic expressions with the same degree.
A. \( x y+y z, 2 x+3 y+5 \)
B. \( x y+y z, 2 x^{2}+3 x+5 \)
c. \( x y+y z, 2 x^{3}+3 x+5 \)
D. none
Subject: Physics
A capacitor has a capacitance of 27.0 microfarads
If we triple the area of the plates of the capacitance and cut the distance between the plates to \( 1 / 3 \) of its original value, what is the new capacitance of the capacitor?
A. 243 microfarads
B. 9.0 microfarads
c. 3.0 microfarads
D. 81.0 microfarads
E. 27.0 microfarads
Subject: Maths
Find the locus of complex number \( \boldsymbol{z}=\boldsymbol{x}+\boldsymbol{i} \boldsymbol{y} \) if \( |\boldsymbol{z}+\boldsymbol{4} \boldsymbol{i}|+|\boldsymbol{z}-\boldsymbol{4} \boldsymbol{i}|=\mathbf{1 0} \)
Subject: Chemistry
Which of the following contains the least number of molecules?
\( A \cdot 52 g \) of \( N_{2} O_{5} \)
B. 36 g of \( H_{2} \) O
c. 28 g of \( c 0 \)
D. \( 51 \mathrm{g} \mathrm{NH}_{3} \)
Subject: Chemistry
Which metal is considered best for
protecting the other metal? \( E^{0}_{F e^{2+} / F e}=-0.44 V, E^{0}_{Z n^{2+} / Z n}=-0.76 V \)
\( E^{0}_{M g^{2+} / M g}=-2.37 V, E^{0}_{C u^{2+} / C u}=-0.34 V \)
A . \( F e \)
в. \( A g \)
\( c . M g \)
D. \( Z n \)
Subject: Maths
The magnitude of the gradient of the tangent at an extremity of latera recta of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) is equal
to (where \( e \) is the eccentricity of the hyperbola)
A \( . \) be
в.
\( c \cdot a b \)
D. \( a \)
Subject: Maths
Find \( \boldsymbol{f}^{\prime}(\boldsymbol{3}) \) if \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\mathbf{5} \boldsymbol{x}^{2}-\boldsymbol{3} \boldsymbol{x}+\mathbf{5} \)
A . 28
B. 54
\( c .32 \)
D. None
Subject: Maths
Assertion
\( (A): \) Let \( n \in N \)
\( \boldsymbol{p}(\boldsymbol{n})=\boldsymbol{n}(\boldsymbol{n}+1) \) is an even number
Reason
(R): Product of two consecutive natural
numbers is even.
A. Both (A) \& (R) are individually true \&
(R) is correct explanation of (A),
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
c. (A)is true but (R) is false
D. (A)is false but (R) is true
Subject: Chemistry
Coordination compounds
\( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{3}(\boldsymbol{N} \boldsymbol{C S})\right] \) and
\( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{3}(\boldsymbol{S} \boldsymbol{C} \boldsymbol{N})\right] \) are examples of
which isomerism?
A. coordination
B. linkage
c. ionizaiton
D. optical
Subject: Chemistry
Calculate equilibrium constant for the equilibrium
\( 2 m n O_{4}^{-}+6 H^{+}+5 H_{2} C_{2} O_{4} \rightleftharpoons \)
\( \mathbf{2} M N^{2+}+\mathbf{8} H_{2} O+\mathbf{1 0} C O_{2} \)
Given that, \( \boldsymbol{E}_{M n O_{4} M n^{2+}}^{0}=\mathbf{1 . 5 1} \quad \boldsymbol{V} \) and
\( \boldsymbol{E}_{\mathrm{CO}_{3} \mathrm{C}_{2} \boldsymbol{O}_{4}^{2-}}^{0}=-\mathbf{0 . 4 9} \boldsymbol{V} \)
Subject: Physics
An athlete runs a distance of \( 1500 \mathrm{m} \) in
the following manner.
(i) Starting from rest, he accelerates himself uniformly
at \( 2 m s^{-2} \) till he covers a distance of
\( (i i) \) He, the run remaining \( 900 m \)
distance of \( 600 \mathrm{cm} \) at the uniform
speed developed. Calculate the time
taken by the athlete to cover the two parts of the distance covered. Also find the time, when he is at the centre of the
track.
Subject: Chemistry
Which of the following statements is
incorrect?
A. Cassiterite is an oxide ore of tin.
B. Tin metal is obtained by the carbon reduction of black tin (purified ore of tin)
C. In the extraction of lead from galena, the roasting and self-reduction are carried out in the same furnace at
different temperatures.
D. Reducing agent of hematite in blase-furnace is coke in the upper part and \( \mathrm{CO} \) in the lower part of the furnace.
Subject: Chemistry
Assertion
Nitrous oxide is also known as laughing
gas
Reason
It is a colourless gas having a faint
sweet odour
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
No of \( \sigma \) and \( \pi \) bonds in \( C_{2}(C N)_{4} \) are
respectively:
\( \mathbf{A} \cdot 9 \sigma, 9 \pi \)
в. \( 8 \sigma, 7 \pi \)
c. \( 1 \sigma, 1 \pi \)
D. \( 9 \sigma, 8 \pi \)
Subject: Physics
What will be the self inductane of a coil
of 100 turns if a current of \( 5 A \) produces
a magnetic flux \( 5 \times 10^{-5} \) Wb?
\( \mathbf{A} \cdot 1 m H \)
в. \( 10 \mathrm{mH} \)
\( c \cdot 1 \mu H \)
D. \( 10 \mu H \)
Subject: Maths
If two curves \( \boldsymbol{y}=\boldsymbol{a}^{x} \) and \( \boldsymbol{y}=\boldsymbol{b}^{x} \)
intersect at an angle \( \alpha \) then find the
value of tana
A \( \cdot\left|\frac{\ln a-\ln b}{1+\ln a \ln b}\right| \)
в. \( \left|\frac{\ln a-\ln b}{1-\ln a \ln b}\right| \)
c. \( \mid \frac{\ln a+\ln b}{1+\ln a \ln b} \)
D. \( \mid \frac{\ln a+\ln b}{1-\ln a \ln b} \)
Subject: Physics
The amplitude of a particle executing
SHM about 0 is \( 10 \mathrm{cm} . \) Then:
A. when the KE is 0.64 times of its maximum KE, its displacement is 6 cm from 0
B. its speed is half the maximum speed when its displacement is half the maximum displacement
\( c . \) Both
(a) and
(b) are correct
D. Both (a) and
(b) are wrong
Subject: Maths
Consider the function: \( f(-\infty, \infty) \rightarrow \)
\( (-\infty, \infty) \) defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{x^{2}-a x+1}{x^{2}+a x+1}, 0<a<2 \)
Which of the following is true?
A. \( f(x) \) is decreasing on (-1,1) and has a local minimum at \( x=1 \)
B. \( f(x) \) is increasing on (-1,1) and has a local maximum at \( x=1 \)
C. \( f(x) \) is increasing on (-1,1) and has neither a local maximum nor a local minimum at \( x=-1 \)
D. \( f(x) \) is decreasing on (-1,1) and has neither a local maximum nor a local minimum at \( x=1 \)
Subject: Chemistry
The rate of reaction, \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \)
Products, is given by the equation, \( r= \)
\( \boldsymbol{k}[\boldsymbol{A}][\boldsymbol{B}] . \) If \( \boldsymbol{B} \) is taken in large excess,
the order of reaction would be:
A .2
B.
c. 0
D. Unpredictable
Subject: Physics
Calculate the distance travelled by a
man walking at a speed of \( 5 \mathrm{km} / \mathrm{hr} \) in 36 minutes.
\( A \cdot 3 \mathrm{km} \)
B. \( 4 \mathrm{km} \)
\( c \cdot 5 k m \)
\( D \cdot 6 \mathrm{km} \)
Subject: Chemistry
Select in each pair, and one having lower ionization energy and explain the
reason
(a) \( I \) and \( I^{-} \)
(b) \( B r \) and \( K \)
(c) \( L i \) and
\( \boldsymbol{L} \boldsymbol{i}^{+} \)
(d) \( B a \) and \( S r \)
(e) \( O \) and \( S \)
(f) \( B e \)
and \( B \)
(g) \( N \) and \( O \)
Subject: Chemistry
Ag is precipitated when \( Z n \) is added to
\( \left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right]^{-} \)
If \( 2\left[A g(C N)_{2}\right]^{-}+Z n \rightarrow \)
\( \left[Z n(C N)_{4}\right]^{2-}+2 A g \) is the reaction
enter 1 else 0.
Subject: Chemistry
The correct set of quantum numbers for \( t \)
he last electron of \( N a^{+} \) is :
\( \mathbf{A} \cdot 3,0,0,-\frac{1}{2} \)
B. \( 3,1,0,+\frac{1}{2} \)
\( \mathbf{c} \cdot 3,1,1,+\frac{1}{2} \)
D. \( 2,1,0,-\frac{1}{2} \)
Subject: Physics
A concave lens with unequal radii of
curvature made of glass \( \left(\mu_{g}=1.5\right) \) has
a focal length of \( 40 \mathrm{cm} . \) If it is immersed
in a liquid of refractive index \( \mu_{1}=2 \) then
A. It behaves like a convex lens of \( 80 \mathrm{cm} \) focal length
B. It behaves like a convex lens of \( 20 \mathrm{cm} \) focal length
c. Its focal length becomes \( 60 \mathrm{cm} \)
D. Nothing can be said
Subject: Chemistry
For the following reaction at \( 250^{\circ} \mathrm{C} \), the
value of \( K_{c} \) is \( 26, \) then the value of \( K_{p} \) at the same temperature will be:
\( \boldsymbol{P C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P} \boldsymbol{C l}_{5}(\boldsymbol{g}) \)
A . 0.57
B. 0.61
c. 0.83
D. 0.91
Subject: Maths
The area of the part of the square filed in which a horse tied to a fixed pole at
one comer by means of a 10 m rope, can
graze is
A . \( 25 \pi s q . m \).
в. \( 100 \pi s q . m \)
c. \( 50 \pi s q . m \)
D. \( 5 \pi s q . m . \)
Subject: Chemistry
A certain radioisotope \( _{Z}^{A} X \) (Half life \( = \) \( 10 \text { days }) \) decays to \( _{Z-2}^{A-4} Y . \) If \( 1 g \) atom of
\( A X \) is kept in sealed vessel, how much \( Z^{\text {}} \) helium will accumulated in 20 days?
Subject: Chemistry
Which equation has an enthalpy change of reaction which corresponds to the standard enthalpy change of atomisation of chlorine?
\( ^{\mathbf{A}} \cdot \frac{1}{2} C l_{2}(g) \rightarrow C l(g) \)
в. \( \frac{1}{2} C l_{2}(l) \rightarrow C l(g) \)
c. \( C l_{2}(g) \rightarrow 2 C l(g) \)
D. \( C l_{2}(l) \rightarrow 2 C l(g) \)
Subject: Maths
Solve:
\( \boldsymbol{x}+\mathbf{7}-\frac{\mathbf{8} \boldsymbol{x}}{\mathbf{3}}=\frac{\mathbf{1 7} \boldsymbol{x}}{\mathbf{6}}-\frac{\mathbf{5} \boldsymbol{x}}{\mathbf{8}} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x}) \) defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{\left|x^{2}-x\right|}{x^{2}-x}, x \neq 0,1 \\ 1, \quad x=0 \quad \text { then } f(x) \text { is } \\ -1, \quad x=1\end{array}\right. \)
continuous for all
\( A \)
B. \( x \) except at \( x=0 \)
c. \( x \) except at \( x=1 \)
D. \( x \) except at \( x=0 \) and \( x=1 \)