AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The value of \( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \int_{2}^{\boldsymbol{x}^{2}}(\boldsymbol{t}-\mathbf{1}) \boldsymbol{d} \boldsymbol{t} \)
A \( \cdot\left(x^{2}-1\right) \)
В. \( x\left(x^{2}-1\right) \)
c. \( 2 x\left(x^{2}-1\right) \)
D. none of these
Subject: Chemistry
An atom of an element has \( 4^{t h} \) shell as
the valence shell with an electron pair in
it. The number of electrons in \( 3^{r d} \) shell
is 2 times more than the number of
electrons in \( 2^{n d} \) shell. Identify atomic
number.
A .24
B. 25
c. 27
D. 28
Subject: Chemistry
\( H_{2} O_{2} \) is an oxidant when it reacts with:
\( A \)
acidified \( K_{4}\left[\mathrm{Fe}(C N)_{6}\right. \)
B. alkaline \( K_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right] \)
\( c \cdot C l_{2} \)
D. acidified \( K M n O_{4} \)
Subject: Physics
A clamped string is oscillating in nth
harmonic, then
This question has multiple correct options
A . total energy of oscillations will be \( n^{2} \) times that of
fundamental frequency
B. total energy of oscillations will be \( (n-1)^{2} \) times that
of fundamental frequency
C . average kinetic energy of the string over a complete oscillations is half of the total energy of the string
D. none of these
Subject: Chemistry
What is the major product of the
reaction: methyl cyclopentene
\( +\boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} / \boldsymbol{H}^{+} / \boldsymbol{C o l d} \rightarrow ? \)
\( A \)
B.
\( c \)
\( D \)
Subject: Physics
The work function of the following metals is given: \( N a=2.75 e V, K= \)
\( \mathbf{2 . 3} e V, M o=4.17 e V \) and \( N i= \)
\( 5.15 e V . \) Which of these metals will not
undergo photoelectric emission for
radiation of wavelength \( 3300 A \) from a
laser source placed 1 m away from these metals? What happens if the
laser source is brought closer and
placed \( 50 \mathrm{cm} \) away?
Subject: Physics
Two magnetic poles have their strengths
in the ratio \( 3: 2 . \) They are kept at a distance of \( 0.6 \mathrm{m} \) in air and the force of
repulsion is found to be 0.06 dynes. The pole strengths are (in amp. \( m \) )
A . 1.8,1.2
B. 18,12
\( c \cdot 6,4 \)
D. 0.6, 3.6
Subject: Maths
The domain of \( \boldsymbol{f}(\boldsymbol{x})=\frac{1}{\sqrt{(\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}-\mathbf{2})(\boldsymbol{x}-\mathbf{3})}} \)
is
\( \mathbf{A} \cdot(-\infty, 1) \cup(3, \infty) \)
B. (1,2)\( \cup(3, \infty) \)
\( \mathbf{c} \cdot(-\infty, 2) \)
D. R
Subject: Chemistry
Compare \( L i \) and \( B e \) according to their
\( (\boldsymbol{I} \boldsymbol{E})_{2}: \)
\( \mathbf{A} \cdot L i>B e \)
В. \( L i<B e \)
\( \mathbf{c} \cdot L i=B e \)
D. None of these
Subject: Chemistry
Write the IUPAC name for \( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\right. \)
\( \mathrm{CO}] C l_{3} \)
A. Carbonatopentaamminechromium (III) chloride
B. Pentaamminecarbonatochromium (III) chloride
C. Pentaaminecarbonatochromium (III) chloride
D. Pentaammoniacarbonatochromium (III) chloride
Subject: Physics
In an electric motor, wires carrying a
current of \( 5 A \) are placed at right angles to a magnetic field of induction 0.8 T. If
each wire has length of \( 20 \mathrm{cm} \), then the
force acting on each wire is :
A \( .0 .2 N \)
в. 0.4 N
\( c \cdot 0.6 N \)
D. \( 0.8 N \)
Subject: Chemistry
Select correct statement regarding
\( \left[N i(D M G)_{2}\right] \) complex compound.
\( A \cdot \) It acts as oxidising agent because \( N i^{2+} \) cation is having EAN 34.
B. It is extra-stabilized by hydrogen bonding.
C. Its IUPAC name in bis(dimethylglyoximato)nickel(II)
D. It's ligand contains two different donar site.
Subject: Physics
Masses of neutron, proton and electron are \( 1.0087 \cup, 1.0073 \mathrm{u} \) and \( 0.0005 \mathrm{u} \)
respectively. If a neutron decays into a proton and an electron, the energy released would be about.
A. \( 0.68 \mathrm{MeV} \)
B. 0.84 Mev
c. \( 0.75 \mathrm{MeV} \)
D. \( 1.22 \mathrm{MeV} \)
Subject: Maths
Identify the type of \( \operatorname{set} A^{\prime}=\{1,2,6,7\} \)
and \( \boldsymbol{B}=\{\mathbf{6}, \mathbf{1}, \mathbf{2}, \mathbf{7}, \mathbf{7}\} \)
A. Overlapping Sets
B. Unequal Sets
c. Equal sets
D. None of these
Subject: Maths
The left hand derivative of \( f(x)= \)
\( [x] \sin \pi x \) at \( x=k, k \) is an integer, is
\( \mathbf{A} \cdot(-1)^{k}(k-1) \pi \)
B \cdot \( (-1)^{k-1}(k-1) \pi \)
\( \mathbf{c} \cdot(-1)^{k} k \pi \)
D. \( (-1)^{k-1} k \pi \)
Subject: Chemistry
Match List I with List II.
List I
List II
A) Greenhouse effect
1. Respiration
B) Oxygen
2. Keeping food items fresh
C) Nitrogen
3. Nitric acid and sulphuric acid
D) Acid Rain
4. Carbon dioxide
A. \( A-4, B-1, C-2, D-3 \)
B. \( A-1, B-2, C-3, D-4 \)
C. \( A-2, B-3, C-4, D-1 \)
D. \( A-3, B-2, C-1, D-4 \)
Subject: Chemistry
Which equation represents charge
balanced equation for a solution of \( \boldsymbol{H}_{2} \boldsymbol{S} \)
in water?
\( \mathbf{A} \cdot\left[H^{+}\right]=2\left[S^{2-}\right]+\left[H S^{-}\right]+\left[O H^{-}\right] \)
B \( \cdot\left[H^{+}\right]=\left[O H^{-}\right] \)
C \( \cdot\left[H^{+}\right]=\left[S^{2-}\right]+\left[H S^{-}\right]+\left[H^{+}\right] \)
D. \( \left[H^{+}\right]=\left[S^{2-}\right]+\left[H S^{-}\right]+\left[O H^{-}\right] \)
Subject: Maths
\( 2 . \overline{8768} \) expressed as a rational number is
A \( \cdot_{2} \frac{878}{999} \)
в. \( 2_{10}^{9} \)
c. \( 2 \frac{292}{333} \)
D. \( _{2} \frac{4394}{4995} \)
Subject: Chemistry
Mathematical expression for \( t_{1 / 4} \) i.e.
when \( (1 / 4)^{t h} \) reaction is over following
first order kinetics can be given by:
A \( \cdot t_{1 / 4}=\frac{2.303}{K} \log 4 \)
B \cdot \( t_{1 / 4}=\frac{2.303}{K} \log 1 / 4 \)
C \( \cdot t_{1 / 4}=\frac{2.303}{K} \log 2 \)
D \( \cdot t_{1 / 4}=\frac{2.303}{K} \log \frac{4}{3} \)
Subject: Physics
A ray of light is incident normally on one
face of a \( 30^{\circ}-60^{\circ}-90^{\circ} \) prism of
refractive index \( \frac{\mathrm{t}}{\text { imersed in water of }} \) \( \mathbf{Z} \)
refractive index \( \frac{-}{2} \) as shown \( \overline{\mathbf{3}} \)
This question has multiple correct options
A \( \cdot \) the exit angle \( \theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{5}{8}\right) \)
B \( \cdot \) the exit angle \( \theta_{2} \) of the the ray is \( \sin ^{-1}\left(\frac{5}{4 \sqrt{3}}\right) \)
C. total internal reflection at point P ceases if the
refractive index of water is increased to \( \frac{5}{2 \sqrt{3}} \) by
dissolving some substance
D. Total internal reflection at point P ceases if the
refractive index of water is increased to \( \frac{-b y}{y} \)
dissolving some substance.
Subject: Chemistry
The equilibrium constants for the
reactions are
\[
\begin{array}{l}
\boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \stackrel{\boldsymbol{K}_{1}}{\rightleftharpoons} \boldsymbol{H}^{+}+\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-} ; \boldsymbol{K}_{1} \\
\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-} \stackrel{\boldsymbol{K}_{2}}{\rightleftharpoons} \boldsymbol{H}^{+}+\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-} ; \boldsymbol{K}_{2} \\
\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-} \stackrel{\boldsymbol{K}_{3}}{\rightleftharpoons} \boldsymbol{H}^{+}+\boldsymbol{P} \boldsymbol{O}_{4}^{3-} ; \boldsymbol{K}_{3}
\end{array}
\]
The equilibrium constant for,
\[
\boldsymbol{H}_{3} \boldsymbol{P O}_{4} \rightleftharpoons \mathbf{3} \boldsymbol{H}^{+}+\boldsymbol{P O}_{4}^{3-} \text { will }
\]
be:
\( \mathbf{A} \cdot K_{1} / K_{2} K_{3} \)
B. \( K_{1} \times K_{2} \times K_{3} \)
\( \mathbf{c} \cdot K_{2} / K_{1} K_{3} \)
\( \mathbf{D} \cdot K_{1}+K_{2}+K_{3} \)
Subject: Maths
Consider the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sin \left(\sin ^{-1} 2 x\right)+\sec \left(\sec ^{-1} 3 x\right)+ \)
\( \tan \left(\tan ^{-1} 4 x\right) \) and \( g(x)=9 x, \) then
which of the following is correct? This question has multiple correct options
A \( \cdot \) fog \( (x) \) and \( g o f(x) \) are equal function
B . \( f(x) \) is an odd function
C. Number of integers in range of \( f(x) \) are 4
D. Number of integers in domain of \( f(x) \) are 2
Subject: Physics
A bar magnet has a coercivity of \( 4 \times \) \( 10^{3} A m^{-1} . \) It is placed inside a solenoid
of length \( 12 \mathrm{cm} \) having 60 turns in order
to demagnetize it, the amount of current that should be passed through the solenoid is:
A. \( 16 A \)
в. \( 8 A \)
c. \( 4 A \)
D. \( 2 A \)
Subject: Chemistry
For \( \boldsymbol{A} \longleftrightarrow \boldsymbol{B} \) equilibrium constant at
total pressure \( p_{1} \) is \( k_{p_{1}} \) and for \( C \rightleftharpoons \) \( D+E \) equilibrium constant at total
pressure \( p_{2} \) is \( k_{p_{2}} . \) If both reaction are gaseous homogeneous reations and degree of dissociation of \( A \) and \( C \) are
same, then the ratio of \( p_{1} / p_{2} \) if \( k_{p_{1}}= \)
\( 2 k_{p_{2}} \) is:
A \( .1 / 2 \)
B. \( 1 / 3 \)
\( c \cdot 1 / 4 \)
D.
Subject: Chemistry
Ground state electronic configuration of valence shell electrons in nitrogen
molecule \( \left(N_{2}\right) \) is written as \( \left(S_{2 s}\right)^{2}\left(S *_{2 s}\right)^{2}\left(P_{2 p}\right)^{4}\left(S_{2 p}\right)^{2} \) Hence, the
bond order of nitrogen molecule is:
A .2
B. 3
\( c \cdot 0 \)
D.
Subject: Maths
If \( f(x)=\sin x-\cos x-a x+b \)
decreases for a where \( x \in R \) then?
This question has multiple correct options
\( \mathbf{A} \cdot a<1 \)
B. \( a>1 \)
c. \( a<\sqrt{2} \)
D. \( a>\sqrt{2} \)
Subject: Chemistry
Use the following data for the gas phase decomposition of hydrogen iodide to find the average rate of the reaction in moles HI/litre over the first 2 hours.
t, hours \( \quad \) o \( \quad 2 \quad \) 4
\[
\begin{array}{llll}
\text { [HI], M } & 1 & 0.5 & 0.33
\end{array}
\]
A. 0.25
B. 0.35
\( c \cdot 0.5 \)
D. 2
Subject: Chemistry
If \( 224 m l \) of triatomic gas has a mass of
\( 1 g \) at \( 273 K \) and 1 at \( m \) pressure, then
the mass of one atom is-
A \( .8 .30 \times 10^{-23} \mathrm{gm} \)
B . \( 2.08 \times 10^{-23} \mathrm{gm} \)
C \( .5 .53 \times 10^{-23} \mathrm{gm} \)
D. \( 6.24 \times 10^{-23} \mathrm{gm} \)
Subject: Physics
A wedge of mass \( m \), having a smooth
semi circular part of radius R is resting on smooth horizontal surface.Now a
particle of mass \( m / 2 \) is released from
the top point of the semicircular part.
Then
This question has multiple correct options
A. The maximum displacement of the wedge will be R
B. The maximum displacement of the wedge will be \( \frac{2 R}{3} \)
c. The wedge will perform simple harmonic motion of amplitude
D. The wedge will perform oscillatory motion of amplitude \( \frac{R}{3} \)
Subject: Physics
A piston of cross-sectional area
\( 100 \mathrm{cm}^{2} \) is used in a hydraulic press to
exert a force of \( 10^{7} \) dyne on the water. The cross sectional area of the other
piston which supports an object having a mass of \( 2000 \mathrm{kg} \) is
A \( \cdot 100 \mathrm{cm}^{2} \)
B. \( 10^{9} \mathrm{cm}^{2} \)
c. \( 2 \times 10^{4} \mathrm{cm}^{2} \)
D. \( 2 \times 10^{10} \mathrm{cm}^{2} \)
Subject: Physics
Two balls \( A \) and \( B \) having masses \( 1 k g \)
and \( 2 k g \) moving with speeds \( 21 m / s \)
and \( 4 m / s \) respectively in opposite direction, collide head on. After collision
\( A \) moves with a speed of 1 m/ \( s \) in the same direction, then the coefficient of
restitution is :
A . 0.1
B. 0.2
c. 0.4
D. None
Subject: Maths
In a circle with center \( O, \) a chord \( P Q \) is
such that \( \boldsymbol{O} \boldsymbol{M} \pm \boldsymbol{P} \boldsymbol{Q} \) meeting \( \boldsymbol{P} \boldsymbol{Q} \) at \( \boldsymbol{M} \)
Then
\( ^{\mathbf{A}} \cdot O Q^{2}=O M^{2}+\frac{1}{2} P Q^{2} \)
B. \( O Q^{2}=O M^{2}+\frac{1}{4} P Q^{2} \)
c. \( M Q^{2}=O M^{2}-O Q^{2} \)
D. \( O M^{2}=M Q^{2}-O Q^{2} \)
Subject: Chemistry
Statement 1
The wavelenght equivalent of \( 1 \mathrm{eV} \) is \( 1.24 \times 10^{-6} \) metre
and
Statement 2:
Electron volt is the energy imparted to an electron accelerated by a potential
difference of 1 volt.
A. Statement 1 is True, Statement 2 is True; statement 2 is correct explanation for statement 1
B. Statement 1 is True, Statement 2 is True; statement 2 is not a correct explanation for statement 1
c. Statement 1 is True, Statement 2 is False
D. Statement 1 is False, Statement 2 is True
Subject: Maths
had Rs. 200 with me. I gave Rs. \( x \) to Anwar, Rs. \( \frac{x}{2} \) to Vidhu and I am left with Rs \( \frac{x}{2} . \) The amount I gave to vidhu is
A . Rs. 50
B. Rs. 40
c. Rs. 30
D. Rs. 15
Subject: Chemistry
Statement-1: \( C a H_{2} \) is used as main
source to transport gas as 1 pound of it
gives 16.5 cubic feet \( \boldsymbol{H}_{2} \)

Statement-2: It is difficult to transport
\( \boldsymbol{H}_{2} \) gas.
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement- is not a correct explanation for Statement- -
c. Statement- 1 is true, Statement- 2 is false.
D. Statement-1 is false, Statement-2 is true
Subject: Physics
There is a current of 40 amperes in a
wire of \( 10^{-16} m^{2} \) area of cross-section. If
the number of free electrons per \( m^{3} \) is
\( 10^{29}, \) then the drift velocity will be:
A \( \cdot 1.25 \times 10^{3} \mathrm{m} / \mathrm{s} \)
в. \( 2.50 \times 10^{3} \) т/ \( s \)
c. \( 2.0 \times 10^{6} \mathrm{m} / \mathrm{s} \)
D. \( 25 \times 10^{6} \mathrm{m} / \mathrm{s} \)
Subject: Physics
Rain appears to fall vertically to a man
walking at \( 3 k m h^{-1}, \) but when he changes his speed to double, the rain
appears to fall at \( 45^{\circ} \) with vertical

Study the following statements and find which of them are correct.
i. Velocity of rain is \( 2 \sqrt{3} k m h^{-1} \)
ii. The angle of fall of rain (with vertical) is \( \boldsymbol{\theta}=\tan ^{-1}\left(\frac{\mathbf{1}}{\sqrt{\mathbf{2}}}\right) \)
iii. The angle of fall of rain (with vertical) is \( \boldsymbol{\theta}=\sin ^{-1}\left(\frac{\mathbf{1}}{\sqrt{\mathbf{2}}}\right) \)
iv. Velocity of rain is \( 3 \sqrt{2} k m h^{-1} \)
A. Statement (i) and (ii) are correct
B. Statement (i) and (iii) are correct
c. statement
(iii) and (iv) are correct
D. statement (ii) and (iv) are correct
Subject: Physics
A convex lens of focal length \( f \) is cut into two halves as shown. Light rays parallel to the principal axis are incident on one
half of the lens \( \left(\operatorname{say} L_{1}\right) . \) This will
form an image at :
\( A \cdot f \)
B. \( f / 2 \)
\( c \cdot 2 f \)
D. \( f / \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) if \( \boldsymbol{y}=\tan ^{-1}\left(\frac{\mathbf{5} \boldsymbol{x}+\mathbf{1}}{\mathbf{3}-\boldsymbol{x}-\mathbf{6} \boldsymbol{x}^{2}}\right) \)
Subject: Chemistry
At a particular temperature, the vapour pressures of two liquids \( A \) and \( B \) are respectively 120 and 180 mm of
mercury. If 2 moles of \( A \) and 3 moles of
Bare mixed to form an ideal solution,
the vapour pressure of the solution at the same temperature will be (in mm of
mercury) :
A . 156
в. 145
\( c .150 \)
D. 108
Subject: Chemistry
Standard electrode potential of cell
\( \boldsymbol{H}_{2}\left|\boldsymbol{H}^{+} \| \boldsymbol{A} \boldsymbol{g}^{+}\right| \boldsymbol{A} \boldsymbol{g} \) is :
A. \( 0.8 \mathrm{v} \)
в. \( -0.8 V \)
c. \( -1.2 V \)
D. \( 1.2 V \)
Subject: Maths
ff \( \Delta=\left|\begin{array}{ccc}\mathbf{3} & \mathbf{5} & \mathbf{7} \\ \mathbf{2} & -\mathbf{3} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{2}\end{array}\right|, \) find it's value
Subject: Physics
A biconvex lens of focal length \( 15 \mathrm{cm} \) is in front of a plane mirror. The distance between the lens and the mirror is 10
\( \mathrm{cm} . \mathrm{A} \) small object is kept at a distance of \( 30 \mathrm{cm} \) from the lens. The final image is :
A. virtual and at a distance of 16 cm from the mirror
B. real and at a distance of \( 16 \mathrm{cm} \) from the mirror
c. virtual and at a distance of \( 20 \mathrm{cm} \) from the mirror
D. real and at a distance of \( 20 \mathrm{cm} \) from the mirro
Subject: Chemistry
To make the following reduction process
spontaneous, temperature should be \( Z n O+C \longrightarrow Z N+C O \)
\( \mathbf{A} \cdot<1000^{\circ} \mathrm{C} \)
B \( \cdot>1100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot<500^{\circ} \mathrm{C} \)
\( \mathrm{D} \cdot>500^{\circ} \mathrm{C} \) but \( <1000^{\circ} \mathrm{C} \)
Subject: Chemistry
Match the isomers given in column
with their names given in column II and
mark the appropriate choice.
(A) - (iii)
\( A \)
, (B) \( -(i),(C)-(i v),(D)- \) (ii)
B. (A) - (iv), (B) - (iii), (C) - (ii), (D) - (i)
\( c \)
(A) \( -(i),(B)-(i i),(C)-(i i i),(D)-(i v) \)
\( D \)
(A) - (ii)
(B) \( - \) (iii) \( (C)-(i v) \) (D) \( (i \)
Subject: Biology
Assertion
Reed Swamp stage of hydrosere occurs in shallow water.
Reason
The stage is characterised by the presence of amphibious plants.
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
How many \( \sigma \) and \( \pi \) bonds are present in
\( \boldsymbol{H} \boldsymbol{C} \equiv \boldsymbol{C}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}_{3} ? \)
\( \mathbf{A} \cdot 9 \sigma, 4 \pi \)
в. \( 10 \sigma, 3 \pi \)
\( \mathbf{c} \cdot 6 \sigma, 6 \pi \)
D. \( 5 \sigma, 5 \pi \)
Subject: Maths
If \( (\boldsymbol{x} \boldsymbol{y})^{\boldsymbol{a}-1}=\boldsymbol{z} \)
\( (\boldsymbol{y} \boldsymbol{z})^{\boldsymbol{b}-1}=\boldsymbol{x} \)
\( (\boldsymbol{z} \boldsymbol{x})^{c-1}=\boldsymbol{y} \)
then \( \boldsymbol{a} \boldsymbol{b}+\boldsymbol{b} \boldsymbol{c}+\boldsymbol{c} \boldsymbol{a}=? \)
Subject: Maths
The equations representing the given
graph is
A. \( 7 x+2 y=11 ; y-2 x=3 \)
B. \( 2 x+7 y=11 ; 5 x+(35 y / 2)=25 \)
c. \( 3 x-7 y=10 ; 8 y-6 x=4 \)
D. \( 3 x-4 y=1 ; 3 x-4 y x+2=0 \)
Subject: Chemistry
The final product of the given reaction is, \( \boldsymbol{P h}-\boldsymbol{N}_{2} \boldsymbol{C l} \frac{\boldsymbol{C u}_{2} \boldsymbol{C l}_{2}}{\boldsymbol{P} \boldsymbol{h}-\boldsymbol{C l}+\boldsymbol{N}_{2} \uparrow} \)
A \( \cdot P h-N_{2} C l \stackrel{C u_{2} C l_{2}}{\longrightarrow} P h-C l+N_{2} \uparrow \)
B . \( P h-N_{2} C l \stackrel{C u_{2} C l_{2}}{\longrightarrow} P h-C l+N_{3} \uparrow \)
c. \( P h-N_{2} C l \stackrel{C u_{2} C l_{2}}{\longrightarrow} P h-C l_{2}+N_{2} \uparrow \)
D. \( P h-N_{2} C l \frac{C u_{2} C l_{2}}{\longrightarrow} P h_{2}-C l+N_{2} \uparrow \)
Subject: Chemistry
Assertion
Cyclopentadienyl anion is aromatic in
nature.
Reason
Cyclopentadienyl anion has \( \operatorname{six} \pi \)
electrons.
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: Physics
Light travels at the speed of \( 2.25 \times 10^{8} \)
\( \mathrm{m} / \mathrm{s} \) in medium \( \mathrm{A} \) and \( 2 \times 10^{8} \mathrm{m} / \mathrm{s} \) in
the medium B.Which medium is
optically denser? Is optical density related to the density of the medium?
Subject: Maths
In a parallelogram ABCD if \( A B=2 x+5 \) \( \mathrm{CD}=\mathrm{y}+1, \mathrm{AD}=\mathrm{y}+5 \) and \( \mathrm{BC}=3 \mathrm{x}-4 \) then ratio
of \( A B: B C \) is
\( A \cdot 71: 21 \)
B. 12:11
c. 31: 35
D. 4 : 7
Subject: Maths
If
\( \left(\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right)\left(\begin{array}{cc}1 & \tan \theta \\ -\tan \theta & 1\end{array}\right)^{-1}= \)
\( \left[\begin{array}{cc}\boldsymbol{a} & -\boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{a}\end{array}\right], \) then
This question has multiple correct options
\( \mathbf{A} \cdot a=\cos 2 \theta \)
В . \( a=1 \)
c. \( b=\sin 2 \theta \)
D. \( b=-1 \)
Subject: Physics
Two different masses \( m \) and \( 2 m \) are
fallen from height \( \boldsymbol{H}_{1} \) and \( \boldsymbol{H}_{2} \) respectively. First mass takes t second and another takes \( 2 t \) second, then the
ratio of \( \boldsymbol{H}_{1} \) and \( \boldsymbol{H}_{2} \) is?
A .2: 1
B. 4: 1
c. 0.25: 1
D. None of these
Subject: Physics
A uniform but time varying magnetic field is present in a circular region of radius R. The magnetic field is perpendicular and into the plane of the loop and the magnetic of field is increasing at a constant rate \( \alpha . \) There is
a straight conducting rod of length \( 2 \mathrm{R} \) placed as shown in figure. The magnitude of induced emf across the rod is
This question has multiple correct options
\( \mathbf{A} \cdot 60^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 20^{\circ} \)
Subject: Physics
A gun fires a bullet of mass 50 g with a velocity of \( 30 \mathrm{m} \mathrm{s}^{-1} \). Because of this
gun is pushed back with a velocity of 1
\( \mathrm{m} \mathrm{s}^{-1} . \) Mass of the gun is :
\( A \cdot 3.5 \mathrm{kg} \)
c. \( 1.5 \mathrm{kg} \)
D. 2 kg
Subject: Chemistry
The value of pre-expotential factor is :
A . \( A=1.25 \times 10^{18} s^{-1} \)
B. \( A=1.95 \times 10^{18} s^{-1} \)
c. \( A=1.56 \times 10^{18} s^{-1} \)
D. None of these
Subject: Maths
The combined equation of the three sides of a triangle is
\( \left(x^{2}-y^{2}\right)(2 x+3 y-6) . \) If the point
\( (0, a) \) lies in the interior of this triangle
then
A \( .-2<\alpha<0 \)
B. \( -2<\alpha<2 \)
c. \( 0<\alpha<2 \)
D. \( \alpha \geq 2 \)
Subject: Maths
The dimensions of a rectangle ABCD are
\( 51 \mathrm{cm} 25 \mathrm{cm} . \) A trapezium \( P Q C D \) with
its parallel sides \( \mathrm{QC} \) and \( \mathrm{PD} \) in the ratio
\( 9: 8, \) is cut off from the rectangle as
shown in the figure. If the area of the
trapezium PQCD is \( \frac{5}{6} \) th part of the area of the rectangle, find the length \( Q C \)
Subject: Biology
Photooxidation of water results in the
formation of
\( \mathbf{A} \cdot \mathbf{H}^{+}, \mathbf{O}_{2}, \) ATP
B . H \( ^{+}, \mathrm{O}_{2}, \mathrm{e}^{-}, \) ATP
c. н \( ^{+}, 0_{2}, \) e \( ^{-} \)
D. None of the above
Subject: Physics
The moment of inertia of a disc of
radius \( 0.5 \mathrm{m} \) about its geometric axis is \( 2 \mathrm{kg}-m^{2} . \) If a string is tied to its circumference and a force of 10 Newton is applied, the value of torque with respect to this axis will be :-
A. 2.5 N-m
B. 5 N-m
\( c \cdot 10 N-m \)
D. 20 N-m
Subject: Chemistry
A correct statement is/are:
This question has multiple correct options
\( \mathbf{A} \cdot\left[M n B r_{4}\right]^{-2} \) is tetrahedral
B. \( \left[N i\left(N H_{3}\right)_{6}\right]^{+2} \) is an inner orbital complex
\( ^{\mathbf{C}} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{+2} \) is paramgnetic
D \( \cdot\left[\operatorname{CoBr}_{2}(e n)_{2}\right]^{-} \) exhibits linkage isomerism
Subject: Physics
\( v- \) I graphs of a nichrome wire at three
different temperatures \( t_{1}, t_{2} \) and \( t_{3} \) are
shown in the figure. What inference can be drawn from the figure?
This question has multiple correct options
A. Resistance of nichrome wire at \( t_{1} \) is greater than
resistance at \( t_{2} \) and \( t_{3} \)
B . \( t_{1}<t_{2} \) and \( t_{2}<t_{3} \)
c. \( t_{1}<t_{2} \) and \( t_{3}<t_{2} \)
D. Resistance of nichrome wire \( t_{3} \) is greater than
resistance at \( t_{3} \) and \( t_{2} \)
Subject: Physics
Assertion
Two bodies at the same temperature may contain different amounts of heat
Reason
Two bodies may require different
amounts of heat to maintain or acquire
same temperature
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