AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The magnetic field in a region is given by \( \vec{B}=B_{0}\left(1+\frac{x}{a}\right) \hat{k} . \) A square loop of edge length \( d \) is placed with its edge
along the \( x \) - and \( y \) -axes. The loop is
moved with a constant velocity \( \overrightarrow{\boldsymbol{v}}=\boldsymbol{v}_{\mathbf{0}} \hat{\boldsymbol{i}} \)
The emf induced in the loop is
A \( \cdot \frac{v_{0} B_{0} d^{2}}{a} \)
B. \( \frac{v_{0} B_{0} d^{3}}{a^{2}} \)
\( \mathbf{c} \cdot v_{0} B_{0} d \)
\( \mathbf{D} \cdot 2 v_{0} B_{0} d \)
E . zero
Subject: Chemistry
Predict the order of reactivity of the
following compounds in \( S_{N} 1 \) and \( S_{N} 2 \)
reactions:
The four isomeric bromobutanes
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C H}_{2} \boldsymbol{B r}, \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C H}\left(\boldsymbol{C}_{6} \boldsymbol{H}_{5}\right) \boldsymbol{B r}, \boldsymbol{C}_{6} \)
Subject: Chemistry
What is hybridization?
A. The mixing of two or more atomic orbitals to form new orbitals that describe the covalent bonding in molecules.
B. The mixing of electrons in the electron sea model to account for the number of bonds in a molecule.
C. The mixing of two or more atomic orbitals to form new orbitals that describe the location of electrons in
atoms.
D. The mixing of two or more molecules
E. The mixing of two or more atoms to make a new compound or molecule.
Subject: Physics
The energy stored in magnetic field
produced by a metal sphere is 4.5 J. If the sphere contains \( 4 \mu C \) charge, its
radius will be :
\( \left[\text { Take }: \frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} N-m^{2} / C^{2}\right] \)
A. 32 mm
B. \( 16 \mathrm{mm} \)
c. \( 20 \mathrm{mm} \)
D. 28 mm
Subject: Chemistry
In nitroprusside ion, the iron and NO exist as \( \mathrm{Fe}^{+2} \) and \( \mathrm{NO}^{+} \), instead of \( \mathrm{Fe}^{+3} \)
and NO. The given conclusion can be drawn by:
A. estimating the concentration of iron
B. measuring the concentration of \( C N^{-} \) ion
c. measuring the solid state magnetic moment
D. thermally decomposing the compound
Subject: Physics
What are the value of \( a \) and \( b \)
respectively in the reaction \( _{9}^{4} B e+ \)
\( _{2}^{4} H e \rightarrow_{b}^{a} X+_{0}^{1} n \)
A .17,7
B. 7,11
\( c \cdot 12,6 \)
D. 6,12
Subject: Maths
Consider the following two binary
relations on the set \( A=\{a, b, c\} \)
\( \boldsymbol{R}_{1}= \)
\( \{(c, a),(b, b),(a, c),(c, c),(b, c),(a, a)\} \)
and \( \boldsymbol{R}_{2}= \)
\( \{(a, b),(b, a),(c, c),(c, a),(a, a),(b, b) \)
Then
A. \( R_{2} \) is symmetric but it is not transitive
B. Both \( R_{1} \) and \( R_{2} \) are transitive
c. Both \( R_{1} \) and \( R_{2} \) are not symmetric
D. \( R_{1} \) is not symmetric but it is transitive
Subject: Biology
Assertion
Secondary growth in dicot roots occur with the help of vascular cambium/ phellogen
Reason
Vascular cambium is formed from
conjuctive parenchyma and part of Pericycle.
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
A force \( \boldsymbol{F}=-\boldsymbol{K}(\boldsymbol{y} \hat{\boldsymbol{i}}-\boldsymbol{x} \hat{\boldsymbol{j}}), \) (where \( \boldsymbol{K} \) is
a positive constant) acts on a particle moving in the \( X Y \) -plane. Starting from the origin, the particle is taken along the positive \( X \) -axis to the plane
\( (a, 0) \) and then parallel to the \( Y \) -axis to the point \( (a, a) . \) The total work done by the force \( F \) on the particle is
A \( .-2 K a^{2} \)
B \( .2 K a^{2} \)
c. \( -K a^{2} \)
D. \( K a^{2} \)
Subject: Physics
A cylindrical vessel of cross-sectional
area \( 1000 \mathrm{cm}^{2}, \) is fitted with a
frictionless piston of mass \( 10 k g \), and filled with water completely. A small
hole of cross-sectional area \( 10 m m^{2} \) is
opened at a point \( 50 c m \) deep from the lower surface of the piston. The velocity of efflux from the hole will be
A. \( 10.5 \mathrm{m} / \mathrm{s} \)
в. \( 3.4 m / s \)
c. \( 0.8 m / s \)
D. \( 0.2 m / s \)
Subject: Physics
\( \mathbf{A} \)
\( 2 m \) long rod of radius \( 1 c m \) which is
fixed from one end is given a twist of 0.8 radian. The shear strain developed will
be
\( \mathbf{A} \cdot 0.002 \)
B. 0.004
c. 0.008
D. 0.016
Subject: Maths
The vectors \( \overrightarrow{A B}=3 \hat{i}+4 \hat{k} \) and \( \overrightarrow{A C}= \) \( \mathbf{5} \hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}+\mathbf{4} \hat{\boldsymbol{k}} \) are the sides of a triangle
\( A B C, \) then the length of the median
through \( \boldsymbol{A} \) is:
A. \( \sqrt{72} \)
B. \( \sqrt{33} \)
c. \( \sqrt{45} \)
D. \( \sqrt{18} \)
Subject: Physics
If \( i_{1}=3 \sin \omega t \) and \( i_{2}=4 \cos \omega t, \) then \( i_{3} \)
is -
\( \mathbf{A} \cdot 5 \sin \left(\omega t+53^{\circ}\right) \)
B. \( 5 \sin \left(\omega t+37^{\circ}\right) \)
\( \mathbf{c} \cdot 5 \sin \left(\omega t+45^{\circ}\right) \)
\( \mathbf{D} \cdot 5 \cos \left(\omega t+53^{\circ}\right) \)
Subject: Physics
Assertion
The magnetic force on the closed loop in fig is zero
Reason
Force (magnetic) on the wire is \( \int d F= \) \( \int i d \vec{l} \times \vec{B} \)
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
An air bubble of diameter 2 mm rises
steadily through a solution of density \( 1750 k g / m^{3} \) at the rate of \( 0.35 c m / s \) Coefficient of viscosity of the solution is (Assume mass of the bubble to be
negligible) :
A . 9 poise
B. 6poise
c. 11 poise
D. 4 poise
Subject: Physics
Find the magnetic moment vector of the
loop
A \( \cdot(0.1 \hat{i}+0.05 \hat{j}-0.05 \hat{k}) A m^{2} \)
B . \( (0.1 \hat{i}+0.05 \hat{j}+0.05 \hat{k}) A m^{2} \)
C \( \cdot(0.1 \hat{i}-0.05 \hat{j}+0.05 \hat{k}) A m^{2} \)
D. \( (0.1 \hat{i}-0.05 \hat{j}-0.05 \hat{k}) A m^{2} \)
Subject: Maths
If \( \cos ^{-1}\left(\frac{1}{x}\right)=\theta \) then \( \tan \theta= \)
A \( \frac{1}{\sqrt{x^{2}-1}} \)
B. \( \sqrt{x^{2}+1} \)
c. \( \sqrt{1-x^{2}} \)
D. \( \sqrt{x^{2}-1} \)
Subject: Chemistry
Match the list -I with list - II.
List-
List - II
A) Hess law is not applicable for
1) is not a state function
B) All combustion reactions are
2) Heat of dilution
C) Work
3) Exothermic
D) Difference between two integral
4) Nuclear reaction
heats of solutions
A . A-1, B-2, C-3, D-4
B. A-4, B-3, C-1, D-2
c. \( A-3, B-2, C-4, D-1 \)
D. A-2, B-1, C-4, D-3
Subject: Physics
The frequency of a tuning fork \( A \) is \( 2 \% \)
greater than that of a standard fork ' \( K \).
The frequency of another tuning fork ' \( \boldsymbol{B}^{\prime} \)
is \( 3 \% \) less than \( ^{\prime} K^{\prime} \). When \( ^{\prime} A^{\prime} \) and \( ^{\circ} B^{\prime} \)
are vibrated together 6 beats per second are heard. The frequencies of ' \( \boldsymbol{A}^{\prime} \)
and ' \( \boldsymbol{B} \) ' are:
В. 132.4Нz,116.4Нz
c. \( 142.4 \mathrm{Hz}_{2}, 16.4 \mathrm{Hz} \)
D. 152.4Hz,116.4Hz
Subject: Maths
The area bounded by the \( x- \) axis, the
curve \( y=f(x) \) and the lines \( x=1 \) and
\( x=b \) is equal to \( (\sqrt{b^{2}+1}-\sqrt{2}) \) for all
\( \boldsymbol{b}>1, \) then \( \boldsymbol{f}(\boldsymbol{x}) \) is
A. \( \sqrt{x-1} \)
B. \( \sqrt{x+1} \)
c. \( \sqrt{x^{2}+1} \)
D. \( \frac{x}{\sqrt{x^{2}+1}} \)
Subject: Maths
Assertion
If the series represented by function
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x}^{4}+\boldsymbol{x}^{\boldsymbol{6}}+\boldsymbol{x}^{\boldsymbol{8}}+\ldots \)
converges, then function \( \boldsymbol{g}(\boldsymbol{x})=[\boldsymbol{x}] \)
(where [.] denotes the greatest integer function) is continuous at one fixed
point of \( \boldsymbol{f}(\boldsymbol{x}) \)
Reason
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x} \Rightarrow \boldsymbol{x}^{2}+\boldsymbol{x}-\mathbf{1}=\mathbf{0} \) which
gives two fixed points.
A. If both assertion and reason are correct and reason is the correct explanation of the assertion
B. If both assertion and reason are correct but reason is not correct explanation of the assertion
c. If assertion is correct, but reason is incorrect
D. If assertion is incorrect, but reason is correct
Subject: Chemistry
The correct labeling of different terms
used in coordination compounds is:
A. (i) Central atom, (ii) lonisation sphere, (iii) coordination number,
(iv) Ligands
B. (i) Ligands,
(ii) Coordination number, (iii) Valency, (iv) Ionisation sphere
C . (i) lonisation sphere
(ii) Ligands, (iii) Coordination number, (iv) Central atom
D. (i) Ligands,
(ii) lonisation sphere, (iii) Coordination number, (iv) Central atom
Subject: Maths
If \( \boldsymbol{w}=\mathbf{3}-\mathbf{2} \boldsymbol{i} \) and \( \boldsymbol{z}=-\mathbf{2}+\mathbf{4} \boldsymbol{i}, \) then \( \frac{\boldsymbol{w}}{\boldsymbol{z}} \)
can be written as \( a+b i, \) which is
equivalent to
A \( -\frac{3}{2}-\frac{1}{2} i \)
B. \( -\frac{7}{10}-\frac{2}{5} i \)
c. \( \frac{13}{20}-\frac{1}{2} i \)
D. \( \frac{7}{6}+\frac{2}{3} i \)
Subject: Chemistry
When 2 moles of \( C_{2} H_{6}(g) \) are
completely burnt \( 3120 \mathrm{kJ} \) of heat is liberated. The enthalpy of
formation, of \( C_{2} H_{6}(g) \) in \( \mathrm{kJ} / \mathrm{mol} \) is \( \mathrm{X} \)
Then \( -X \) is

Given \( \Delta H \) for \( C O_{2}(g) \& H_{2} O(l) \) are
-395
\( \&-285 k J \) respectively
Subject: Physics
A thin uniform rod of mass \( M \) and
length \( L \) is hinged at its upper end released from rest in horizontal
position. The tension at a point located
at a point located at a point, when the
rod becomes vertical, will be:
A \( \cdot \frac{22 M g}{27} \)
в. \( \frac{11 M g}{13} \)
c. \( \frac{6 M g}{11} \)
\( \mathbf{D} \cdot 2 M q \)
Subject: Physics
Two identical current carrying coaxial
loops, carry current I in opposite sense. A simple amperian loop passes through both of them once. Calling the loop as \( C \)
then which statement is correct?
This question has multiple correct options
\( \mathbf{A} \cdot \oint \bar{H} \cdot \overline{d l}=\mp 2 \mu_{0} I \)
B. the value of \( \oint \bar{H} . \bar{d} l \) is independent of sense of \( C \).
C. there may be a point on C where B and \( d l \) are parallel.
D. none of these
Subject: Chemistry
Which of the following statements
regarding enzyme inhibition is correct -
A. Competitive inhibition is seen when a substrate competes with an enzyme for binding to an inhibitor protein
B. Non-competitive inhibitors often bind to the enzyme irreversibly
C. Competitive inhibition is seen when the substrate and the inhibitor compete for the active site on the enzyme
D. Non-competitive inhibition of an enzyme can be overcome by adding large amount of substrate
Subject: Physics
A light charged particle is resolving in a circle of radius 'r' in electrostatic
attraction of a static heavy particle with opposite charge. How does the magnetic field 'B' at the centre of the circle due to the moving charge depend
on 'r'?
A \( \cdot B \propto \frac{1}{r} \)
в. \( B \propto \frac{1}{r^{2}} \)
c. \( _{B} \propto \frac{1}{r^{\frac{3}{2}}} \)
D. \( B \propto \frac{1}{r^{\frac{5}{2}}} \)
Subject: Physics
A flywheel is making \( \frac{3000}{\pi} \) revolution per minute about its axis. If the
moment of inertia of the flywheel about that axis is \( 400 \mathrm{kgm}^{2} \), its rotational
kinetic energy is
A \( .2 \times 10^{6} J \)
B. \( 3 \times 10^{3} J \)
D. \( 12 \times 10^{3} J \)
Subject: Chemistry
Which of the following is a true
property about \( C H_{3}^{+} ? \)
A. It is a non-planar species.
B. \( C^{+} \) is \( s p^{2} \) hybridised.
C. Electrophile can attack on \( C^{+} \) of \( C H_{3}^{+} \)
D. It is an example of carbene.
Subject: Physics
A rain drop of radius 0.3 mm has a
terminal velocity in air \( 1 \mathrm{m} / \mathrm{s} \). The viscosity of air is \( 18 \times 10^{-5} \) poise. The
viscous force on it is
A \( \cdot 101.73 \times 10^{-4} d y n e \)
B . \( 101.73 \times 10^{-5} \) dyne
c. \( 16.95 \times 10^{-5} \) dyne
D. \( 16.95 \times 10^{-4} \) dyne
Subject: Maths
if the distance between the foci is equal
to the length of the latus-rectum. Find
the eccentricity of the ellipse.
A. \( \frac{\sqrt{5}-1}{2} \)
B. \( \frac{\sqrt{5}+1}{2} \)
c. \( \frac{\sqrt{5}-1}{4} \)
D. None of these
Subject: Physics
Two long and parallel straight wires \( A \) and B carrying currents of \( 8.0 \mathrm{A} \) and 5.0 A in the same direction are separated by a distance of \( 4.0 \mathrm{cm} . \) Estimate the force on a \( 10 \mathrm{cm} \) section of wire \( \mathrm{A} \)
Subject: Physics
Suppose that two objects \( A \) and \( B \) are
moving with velocities \( \vec{v}_{A} \) and \( \vec{v}_{B} \) (each with respect to some common frame of
reference). Let \( \vec{v}_{A B} \) represent the velocity of \( A \) with respect to \( B \). Then
A \( \cdot \vec{v}_{A B}+\vec{v}_{B A}=0 \)
в. \( \vec{v}_{A B}+\vec{v}_{A B}=0 \)
c. \( \vec{v}_{A B}=\vec{v}_{A}+\vec{v}_{B} \)
D. \( \vec{v}_{A B} \neq \vec{v}_{A B} \)
Subject: Chemistry
\( 1,2,3, \) butanetriol undergoes oxidative
cleavage of \( H I O_{4} . \) During this process
This question has multiple correct options
\( A \)
equivalent of \( \mathrm{HIO}_{4} \) consumed \( \& \mathrm{HCO}_{2} \mathrm{H} \)
\( \& \mathrm{H}_{3} \mathrm{C}-\mathrm{C}-\mathrm{CO}_{2} \mathrm{H} \) are formed
\( \| \)
B. 2 equivalents of \( H I O_{4} \) consumed \& \( H C O_{2} H \) \( H C H=O \& C H_{3}-C H=O \) are formed
C .3 equivalents of \( H I O_{4} \) consumed \& \( H C O_{2} H \) (2 eq.) \&
1 eq. of \( C H_{3} C O_{2} H \) are formed
D. 2 equivalents of \( H I O_{4} \) consumed \& 2 eq. of \( H C O_{2} H \)
\& 1 eq. of \( C H_{3} C H=O \) is formed.
Subject: Physics
An alternating voltage (in volts) given by \( V=200 \sqrt{2} \sin (100) t \) is connected
to \( 1 \mu F \) capacitor through an ideal ac ammeter in series. The reading of the
ammeter and the average power consumed in the circuit shall be
A \( .20 m A, 4 W \)
в. \( 20 m A, 0 \)
c. \( 20 \sqrt{2} m A, 8 W \)
D. \( 20 \sqrt{2} \mathrm{mA}, 4 \sqrt{2} \mathrm{W} \)
Subject: Biology
The trophic efficiency of producers, herbivores and carnivores are
respectively
A. \( 10 \%, 20 \%, 30 \% \)
В. \( 20 \%, 30 \%, 60 \% \)
c. \( 20 \%, 40 \%, 80 \% \)
D. Always \( 10 \% \)
Subject: Maths
For two independent events \( A \) and \( B \) what is \( P(A+B), \operatorname{given} P(A)=\frac{3}{5} \) and
\( P(B)=\frac{2}{3} ? \)
A \( \cdot \frac{11}{15} \)
в. \( \frac{13}{15} \)
\( c \cdot \frac{7}{15} \)
D. 0.65
Subject: Maths
In the figure, \( P Q R S \) is a parallelogram with \( P Q=15 c m \) and \( R Q=10 c m . L \) is
a point on \( R P \) such that \( R L: L P=2: \)
3. \( Q L \) produced meets \( R S \) at \( M \) and \( P S \)
produced at \( N . \) Find the lengths of \( P N \)
and \( \boldsymbol{R} \boldsymbol{M} \)
A. \( P N=15 \mathrm{cm} ; R M=10 \mathrm{cm} \)
B. \( P N=10 \mathrm{cm} ; R M=10 \mathrm{cm} \)
c. \( P N=25 \mathrm{cm} ; R M=15 \mathrm{cm} \)
D. \( P N=25 \mathrm{cm} ; R M=10 \mathrm{cm} \)
Subject: Chemistry
Give the increasing order of \( p K_{a} \) value of the following compounds?
I. \( \mathrm{C}_{9} \mathrm{H}_{10} \)
A. \( (I)<(I I I)<(I I) \)
в. \( (I)<(I I)<(I I I) \)
c. \( (I I)<(I I I)<(I) \)
D. \( (I I I)<(I I)<(I) \)
Subject: Maths
If \( A, B \) and \( C \) are three events such that
\( \boldsymbol{P}(\boldsymbol{B})=\frac{1}{2} ; \boldsymbol{P}\left(\boldsymbol{A} \cap \boldsymbol{B} \cap \boldsymbol{C}^{\prime}\right)=\frac{1}{3} \) and
\( \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B} \cap \boldsymbol{C}^{\prime}\right)=\frac{1}{336} \operatorname{then} \boldsymbol{P}(\boldsymbol{B} \cap \boldsymbol{C}) \) is
equal to \( \dots \)
A \( \cdot \frac{328}{2016} \)
в. \( \frac{330}{2016} \)
c. \( \frac{324}{2016} \)
D. \( \frac{320}{2016} \)
Subject: Chemistry
\( N H_{2} \)
\( \boldsymbol{C H}_{3}-\stackrel{1}{\boldsymbol{C} \boldsymbol{H}}-\boldsymbol{C O O H} \)
IUPAC name of the given compound is:
A. propanamine-oic acid
B. 2-Aminopropanoic acid
c. amino propanoic acid
D. none of these
Subject: Chemistry
A chemist wants to produce \( C l_{2}(g) \)
from molten \( N a C l . \) How many grams could be produced if he uses a steady current of 2 ampere for 2.5 minutes :-
A. \( 3.55 g \)
в. \( 1.775 g \)
c. \( 0.110 g \)
D. \( 0.1775 g \)
Subject: Maths
The value of the integral \( \int_{0}^{\pi / 2} \log [\sin (x)] d x \) is
\( A \cdot \log 2 \)
B. \( -\log 2 \)
c. \( \frac{\pi}{2} \log 2 \)
D. \( -\frac{\pi}{2} \log 2 \)
Subject: Physics
A body of mass \( 5 k g \) is whirled in vertical
circle by a string \( 1 \mathrm{m} \) long. Calculate velocity at top of the circle for just looping the vertical loop.
A. \( 3.1 m / s \)
в. \( 7 m / s \)
\( \mathrm{c} \cdot 9 \mathrm{m} / \mathrm{s} \)
D. \( 7.3 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A boy of height \( 1.5 \mathrm{m} \) with his eye level at \( 1.4 \mathrm{m} \) stands before a plane mirror of length \( 0.75 \mathrm{m} \) fixed on the wall. The
height of the lower edge of the mirror above the floor is \( 0.8 \mathrm{m} \). Then :
A. the boy will see his full image
B. the boy can't see his hair
c. the boy can't see his feet
D. the boy can see neither his hair nor his feet
Subject: Maths
If two sets \( A \) and \( B \) are having 39
elements in common, then the number
of elements common to each of the sets
\( A \times B \) and \( B \times A \) are
\( \mathbf{A} \cdot 2^{3} \)
в. \( 39^{2} \)
c. 78
D. 35
Subject: Chemistry
Consider the reaction:
\( \boldsymbol{R} \boldsymbol{C H O}+\boldsymbol{N H}_{2} \boldsymbol{N} \boldsymbol{H}_{2} \rightarrow \boldsymbol{R C H}=\boldsymbol{N} \)
\( N H_{2} \)
What sort of reaction is it?
A. Free radical addition-elimination reaction
B. Electrophilic substitution-elimination reaction
c. Nucleophilic addition-elimination reaction
D. Electrophilic addition-elimination reaction
Subject: Chemistry
Which of the following is not correct?
A \( \cdot N a^{+}+C l^{-} \rightarrow N a C l \)
B. \( N a^{+2}+2 F^{-} \rightarrow C a F_{2} \)
\( \mathbf{c} \cdot N a^{+}+F^{-} \rightarrow N a F \)
D. \( C a^{2+}+2 N a^{+} \rightarrow C a N a_{2} \)
Subject: Physics
A radioactive nucleus decays by \( \boldsymbol{\beta} \)
emission. Both \( \beta \) and neutrino move
mutually at right angle with momentum \( 6 \times 10^{-21} k g m s^{-1} \) and \( 3 \times \)
\( 10^{-21} k g m s^{-1} . \) The direction of recoil of
nucleus with respect to electron is :
A \( \cdot \tan ^{-1}\left(\frac{1}{2}\right) \)
B. \( \tan ^{-1}(2) \)
c. \( _{180-\tan ^{-1}}\left(\frac{1}{2}\right) \)
D. \( 180-\tan ^{-1}(2) \)
Subject: Chemistry
Assertion
\( N H_{3} \) and \( C H_{3}^{-} \) both have pyramidal shape.
Reason
\( \mathrm{N} \) in \( N H_{3} \) and \( \mathrm{C} \) in \( C H_{3}^{-} \) both have \( s p^{3} \) hybridisation with one lone pair of electron on each.
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion.
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion.
c. Assertion is true, Reason is false.
D. Assertion is false, Reason is true
Subject: Chemistry
Name of \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{H} \boldsymbol{C}-\boldsymbol{O}-\boldsymbol{C} \boldsymbol{H}_{2}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \) is:
A. isopropyl propyl ether
B. dipropyl ether
c. di-isopropyl ether
D. isopropyl propyl keton
Subject: Chemistry
Assertion
In tetrahedral complexes low spin
configurations are rarely observed.
Reason
\( \Delta_{t}=\left(\frac{4}{9}\right) \Delta_{0} \)
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: Maths
Examine the continuity of the following function at given points:
(i) \( \boldsymbol{f}(\boldsymbol{x})= \)
\[
\begin{array}{ll}
\frac{e^{5 x}-e^{2 x}}{\sin 3 x}, & \text { for } x \neq 0 \\
= & \text { for } x \neq 0
\end{array}
\]
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{0} \\ -\mathbf{1} & \mathbf{7}\end{array}\right] \) and \( \boldsymbol{A}^{2}=\mathbf{8} \boldsymbol{A}+\boldsymbol{K} \boldsymbol{I}_{2} \)
then \( K \) is equal to
A . -1
B.
\( c .-7 \)
D. 7
Subject: Maths
If \( \boldsymbol{A}=(\mathbf{1}, \mathbf{2}, \mathbf{3}), \boldsymbol{B}=(\mathbf{2}, \mathbf{3}, \mathbf{4}) \) and \( \boldsymbol{A} \boldsymbol{B} \) is
produced upto \( C \) such that \( 2 A B=B C \)
then \( C= \)
A. (5,4,6)
в. (6,2,4)
c. (4,5,6)
D. (6,4,5)
Subject: Maths
If \( f(x) \) and \( g(x) \) are both continuous at
\( x=c \) then which of the following is/are
always continuous at \( x=c ? \)
This question has multiple correct options
A. \( f(x)+g(x) \)
B. \( (f(x)-g(x)) \times f(x) \)
c. \( g(x) \times f(x) \)
D. \( \frac{f(x)-g(x)}{g(x)} \)
Subject: Chemistry
The compound \( \left(\boldsymbol{S} \boldsymbol{i} \boldsymbol{H}_{3}\right)_{3} \ddot{\boldsymbol{N}} \) is expected
to be:
A . Pyramidal and more basic than \( \ddot{N}\left(C H_{3}\right)_{3} \)
B. Planar and less basic thanN \( \left(C H_{3}\right)_{3} \)
C. Pyramidal and less basic than \( \ddot{N}\left(C H_{3}\right)_{3} \)
D. planar and more basic than \( \ddot{N}\left(C H_{3}\right)_{3} \)
Subject: Biology
Match the column I with column II and
select the correct option
colun column 1 1
(i)
Central National
Herbarium
(ii)
Royal Botanical
Garden \( \quad(\mathrm{q}) \quad \) Delhi
(iii) National Museum
of National History (r) Kolkata
(iv) Rajiv Gandhi
Zoological Park (s) Pune
A. (a) (i)-(r), (ii)-(s), (iii)-(p), (iv)-(q)
B. (b) (i)-(r), (ii)-(p), (iii)-(q), (iv)-(s)
C. (c) (i)-(p), (ii)-(s), (iii)-(q), (iv)-(r)
D. (d) (i)-(q), (ii)-(r), (iii)-(p), (iv)-(s)
Subject: Chemistry
Bromine monochloride, Br \( C l \)
decomposes into bromine and chlorine and reaches the equilibrium:
\( \begin{array}{lllll}2 B r C l & (g) & \rightleftharpoons & B r_{2} & (g)\end{array}+ \)
\( \boldsymbol{C l}_{2} \quad(\boldsymbol{g}) \)
for which \( K=32 \) at \( 500 K . \) If initially
pure \( B r C l \) is present at a concentration
of \( 3.3 \times 10^{-3} \) mol \( L^{-1}, \) what is its molar
concentration in the mixture at
equilibrium?
A \( \cdot 3 \times 10^{-4} \)
В. \( 1 \times 10^{-4} \)
c. \( 1.5 \times 10^{-4} \)
D. \( 6 \times 10^{-4} \)
Subject: Maths
If \( \tan ^{-1}\left(\frac{x}{\sqrt{a^{p}-x^{q}}}\right)= \)
\( \sin ^{-1}\left(\frac{x}{a}\right), a>0 . \) Find the value of
and \( q \)
\( \mathbf{A} \cdot p=1, q=1 \)
\( \mathbf{B} \cdot p=1, q=2 \)
\( \mathbf{c} \cdot p=2, q=1 \)
D \( . p=2, q=2 \)
Subject: Physics
Two straight lines drawn on the same
displacement time graph make angles
\( 45^{\circ} \) and \( 60^{\circ} \) as shown. The ratio of the
two velocities is
4. \( \sqrt{3}: 1 \)
3.1:
\( c \cdot 1: 2 \)
\( \sqrt{3}: 2 \)
Subject: Physics
Assertion:Chromium plating is done on many objects like car parts, wheel rims and bath taps. Reason:The chromed layer can be decorative, provide corrosion resistance, ease cleaning procedures, or increase surface hardness.
A. Assertion is correct and Reason is incorrect
B. Assertion is incorrect and Reason is correct
c. Both Assertion and Reason is correct and Reason is the correct explanation of Assertion
D. Both Assertion and Reason is correct but Reason is not the correct explanation of Assertion
Subject: Chemistry
What is the percent of composition of the compound that forms when \( 222.7 g \)
of N combines compleletly with \( 77.4 g \) of
O?
A. \( 70 \%, 30 \% \)
B. \( 80 \%, 20 \% \)
c. \( 74.2 \%, 25.8 \% \)
D. \( 72.2 \%, 27.8 \% \)
Subject: Chemistry
Assertion
Statement-1: In water, orthoboric acid
behaves as a weak monobasic Lewis
acid.
Reason
Statement-2: In water, orthoboric acid
acts as a proton donor.
A. Statement-1 is True, Statement-2 is True; Statementis a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statementis NOT a correct explanation for Statement-
c. Statement-1 is True, Statement-2 is False
D. Statement- 1 is False, Statement-2 is True