AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The horizontal and vertical components
of earth's magnetic field at a place are \( 0.3 \mathrm{G} \) and \( 0.52 \mathrm{G} . \) The earth's magnetic field and the angle of dip are.
A. \( 0.3 \mathrm{G} \) and \( \delta=30^{\circ} \)
B. \( 0.4 \mathrm{G} \) and \( \delta=40^{\circ} \)
c. \( 0.5 \mathrm{G} \) and \( \delta=50^{\circ} \)
D. \( 0.6 \mathrm{G} \) and \( \delta=60^{\circ} \)
Subject: Maths
In a circle of radius \( 13 \mathrm{cm}, P Q \) and \( R S \)
are two parallel chords of length \( 24 \mathrm{cm} \) and IOcm respectively. The chords are on the opposite sides of the centre. The distance between the chords
is?
A. \( 7 \mathrm{cm} \)
B. \( 17 \mathrm{cm} \)
\( c \cdot 26 c m \)
D. \( 12 \mathrm{cm} \)
Subject: Physics
The unit torr is related to the barometric
height as
A. 1 torr \( =1 \mathrm{cm} \) of \( \mathrm{Hg} \)
B. 1 torr\( =0.76 \mathrm{m} \) of \( \mathrm{Hg} \)
c. 1 torr\( =1 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. 1 torr \( =1 \mathrm{m} \) of \( \mathrm{Hg} \)
Subject: Maths
The median of 230 observations is 46
Find \( a \) and \( b \)
\( \begin{array}{lllll}\text { Class } & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}20- \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 40\end{array} & \begin{array}{l}\text { 40- } \\ 50\end{array}\end{array} \)
Frequency 12 30 \( a \)
Subject: Chemistry
In the third group of qualitative
analysis, the precipatitating reagent is
\( N H_{4} C l / N H_{4} O H . \) The function of
\( N H_{4} C l \) is to
A. increase the ionisation of \( N H_{4} O H \)
B. supress the ionisation of \( N H_{4} O H \)
C. convert the ions of group third into their respective chlorides
D. stabilise the hydroxides of group III cations
Subject: Physics
An electrical conductor has a
resistance of \( 5.6 k \Omega . \) A potential
difference (p.d.) of \( 9.0 V \) is applied
across its ends.
How many electrons pass a point in the conductor in one minute?
A \( \cdot 6.0 \times 10^{20} \)
В. \( 1.0 \times 10^{19} \)
\( \mathbf{c} \cdot 6.0 \times 10^{17} \)
D. \( 1.0 \times 10^{16} \)
Subject: Maths
If \( \tan ^{-1}(x+1)+\tan ^{-1}(x-1)= \)
\( \tan ^{-1}\left(\frac{8}{31}\right), \) then \( x \) is equal
\( A \cdot \frac{1}{2} \)
B. \( -\frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Physics
In a Wheatstone's bridge, three resistances \( P, Q \) and \( R \) are connected in
three arms and the fourth arm is
formed by two resistances \( S_{1} \) and \( S_{2} \) connected in parallel. The condition for the bridge to be balanced will be :
\( ^{\mathrm{A}} \cdot \frac{P}{Q}=\frac{2 R}{S_{1}+S_{2}} \)
в. \( \frac{P}{Q}=\frac{R\left(S_{1}+S_{2}\right)}{S_{1} S_{2}} \)
c. \( \frac{P}{\bar{Q}}=\frac{R\left(S_{1}+S_{2}\right)}{2 S_{1} S_{2}} \)
D. \( \frac{P}{Q}=\frac{R}{S_{1}+S_{2}} \)
Subject: Maths
If vector \( \overrightarrow{\boldsymbol{v}}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \) then find their
direction angles.
\( \mathbf{A} \cdot\left(\cos ^{-1} \frac{1}{\sqrt{3}}, \cos ^{-1} \frac{1}{\sqrt{3}}, \cos ^{-1} \frac{1}{\sqrt{3}}\right) \)
B \( \cdot\left(\cos ^{-1}(1), \cos ^{-1}(1), \cos ^{-1}(1)\right) \)
\( ^{c} \cdot\left(\cos ^{-1}(1), \cos ^{-1} \frac{1}{\sqrt{3}}, \cos ^{-1} \frac{1}{\sqrt{3}}\right) \)
D \( \cdot\left(\cos ^{-1} \frac{1}{\sqrt{3}}, \cos ^{-1}(1), \cos ^{-1} \frac{1}{\sqrt{3}}\right) \)
Subject: Chemistry
The vapour pressure of a solvent decreased by \( 10 \mathrm{mm} \) of mercury when a non-volatile solute was added to the
solvent. The mole fraction of the solute
in the solution is 0.2. What should be the mole fraction of the solvent if the
decrease in the vapour pressure is to be \( 20 \mathrm{mm} \) of mercury?
A. 0.4
B. 0.6
\( c \cdot 0.8 \)
\( D \cdot 0.2 \)
Subject: Biology
The H-zone in the skeletal muscle fibre
is due to
A. The absence of myofibrils in the central portion of \( A- \) band.
B. The central gap between myosin filaments in the \( A- \) band.
C. The central gap between actin filaments extending through myosin filament in the A-band.
D. Extension of mysoin filaments in the central portion of the A-band.
Subject: Maths
The line \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{4} \boldsymbol{z}+\mathbf{4}=\mathbf{0}, \boldsymbol{x}+\boldsymbol{y}+ \)
\( z-8=0 \) intersects the plane \( x-y+ \)
\( \mathbf{2} z+\mathbf{1}=\mathbf{0} \) at the point
A \( \cdot(3,2,3) \)
B . (5,2,1)
c. (2,5,1)
D . (3,4,1)
Subject: Maths
The value of \( \mathrm{m} \) for which the lines \( 3 x= \)
\( \boldsymbol{y}-\mathbf{8} \) and \( \mathbf{6} \boldsymbol{x}+\boldsymbol{m} \boldsymbol{y}+\mathbf{1 6}=\mathbf{0} \) coincide
is
A . 2
B. -
\( c \cdot \frac{1}{2} \)
D. \( -\frac{1}{2} \)
Subject: Physics
If \( \overrightarrow{\boldsymbol{F}} \) is the force acting on a particle
having position vector \( \vec{r} \) and \( \vec{\tau} \) be the torque of this force about the origin, then :
A \( \cdot \vec{r} . \vec{\tau}=0 \) and \( \vec{F} \cdot \vec{\tau} \neq 0 \)
В . \( \vec{r} . \vec{\tau} \neq 0 \) and \( \vec{F} . \vec{\tau}=0 \)
c. \( \vec{r} . \vec{r}>0 \) and \( \vec{F} . \vec{\tau}<0 \)
D . \( \vec{r} . \vec{r}=0 \) and \( \vec{F} . \vec{\tau}=0 \)
Subject: Chemistry
What is IUPAC name of \( \boldsymbol{C H}_{3}- \)
\( \boldsymbol{C}\left(\boldsymbol{C H}_{3}\right)(\boldsymbol{O H})-\boldsymbol{C}(\boldsymbol{O})-\boldsymbol{C H}_{3} ? \)
A. Heptane-1,3,5-tricarboxylic acid
B. Pentane-1,3,5-tricarboxylic acid
c. 3-Hydroxy-3-methylbutane-2-one
D. 3-buty|-1,4-hexadien-6-al
Subject: Maths
\( \int \frac{x d x}{1+x^{4}} \) is equal to
A. \( \tan ^{-1} x^{2}+k \)
B. \( \frac{1}{2} \tan ^{-1} x^{2}+k \)
C \( \cdot \log \left(1+x^{4}\right)+k \)
D. none of these
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{A}+\boldsymbol{B} \boldsymbol{x}^{2} \) then:
A \( \cdot \frac{d^{2} y}{d x^{2}}=2 x y \)
B. \( x \frac{d^{2} y}{d x^{2}}=y_{1} \)
c. \( x \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+y=0 \)
D. \( x \frac{d^{2} y}{d x^{2}}+\frac{d y}{d x}+y=0 \)
Subject: Maths
Find the inclinations of the axes so that
the following equations may represent circles, and in each case find the radius
and centre;
\( \boldsymbol{x}^{2}-\boldsymbol{x} \boldsymbol{y}+\boldsymbol{y}^{2}-2 \boldsymbol{g} \boldsymbol{x}-\boldsymbol{2} \boldsymbol{f} \boldsymbol{y}=\mathbf{0} \)
Subject: Maths
Find the order and degree of the
differential equation:
\( \left(\frac{d^{3} y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} y}{d x^{2}}\right)^{3}+\left(\frac{d y}{d x}\right)^{4}+y^{5}=0 \)
Subject: Maths
The curve \( y=a x^{3}+b x^{2}+c x+5 \)
touches the \( x \) -axis at \( P(-2,0) \) and
cuts the \( y \) -axis at a point \( Q, \) where its
gradient is \( 3 . \) Find \( a, b, c \)
A \( \cdot a=-\frac{1}{5}, b=1, c=3 \)
B. \( a=-\frac{1}{4}, b=-1, c=4 \)
c. \( _{a=-\frac{1}{4}, b=0, c=3} \)
D. \( a=-\frac{1}{3}, b=1, c=-3 \)
Subject: Physics
Two identical plano-convex lenses
\( \boldsymbol{L}_{1}\left(\boldsymbol{\mu}_{1}=\mathbf{1} . \boldsymbol{4}\right) \) and \( \boldsymbol{L}_{2}\left(\boldsymbol{\mu}_{2}=\mathbf{1 . 5}\right) \) of radii
of curvature \( \boldsymbol{R}=\mathbf{2 0 c m} \) are placed as
shown in fig. Find the position of the image of the parallel beam of light
relative to the common principal axis.
A. \( 14.3 \mathrm{cm} \)
В. \( 22.2 \mathrm{cm} \)
\( c .31 .2 c m \)
D. \( 21.8 \mathrm{cm} \)
Subject: Chemistry
Which of the following statements is
wrong about the following reaction?
PhO \( \boldsymbol{E} \boldsymbol{t} \frac{1 . \boldsymbol{B} \boldsymbol{B} \boldsymbol{r}_{3}}{\boldsymbol{2} \cdot \boldsymbol{H}_{2} \boldsymbol{O}} \) Products
\( \mathbf{A} \cdot B B r_{3} \) plays a role similar to the \( H \) in \( H I \) by forming a complex with the ether
B. The liberated \( B r \) attacks \( E t \), displacing \( P h O B B r_{2} \) which is ultimately hydrolysed to give the products
C . The products are \( P h O H+E t B r+H_{3} B O_{3} \)
D. The products are \( P h B r+E t O H+H_{3} B O_{3} \)
Subject: Physics
toppr OGII
Q Type your question
\( +y^{\prime}=4 \) where \( x \) and \( y \) are in meters.
wire frame \( A_{1} A_{2} A_{4} A_{3} A_{1} \) is placed in
the magnetic field as shown. Segment \( \mathbf{A} \)
\( A_{2} \) and \( A_{3} A_{4} \) are identical
quarter circles parallel to each other
with axis along z-axis.The induced
current flowing in the wire frame is
equal to : (The total length of the loop of
wire frame is \( 10 \mathrm{m}, \) radius of arc \( \mathrm{A}_{3} \mathrm{A}_{4} \)
and arc \( A_{1} A_{2} \) is \( 1 \mathrm{m} \) each and resistance
per unit length is \( 1 \Omega / m \) ):
\( A \cdot \) zero
В. \( \frac{B_{0} \pi}{10} \)
c. \( \frac{B_{0} \pi}{5} \)
D. \( \frac{B_{0} \pi}{20} \)
Subject: Maths
Assertion (A): Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be a
function such that \( \boldsymbol{f}(\boldsymbol{X})=\boldsymbol{X}^{3}+\boldsymbol{X}^{2}+ \)
\( 3 X+\sin X, \) then \( f \) is one to one
Reason \( (R): f(x) \) is neither increasing nor decreasing function.
A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the correct explanation of (A).
c. (A) is true but (R) is false.
D. (A) is false but (R) is true
Subject: Physics
What is the equation of parabolic trajectory of a projectile? \( (\boldsymbol{\theta}= \) angle between the projectile motion and the horizontal)
A \( \cdot y=x^{2} \tan \theta-\frac{g x}{2 u^{2} \cos ^{2} \theta} \)
B. \( y=x \tan \theta-\frac{g x^{2}}{2 u^{2} \cos ^{2} \theta} \)
c. \( y=x \tan \theta-\frac{g x^{2}}{u^{2} \cos 2 \theta} \)
D. \( y=x \tan \theta-\frac{g x^{2}}{u^{2} \sin ^{2} \theta} \)
Subject: Physics
Nucleus of mass number \( A \), originally
at rest, emits the \( \alpha \) particle with speed
v. The daughter nucleus recoils with a
speed of :
A \( .2 v(A+4) \)
B. \( 4 v(A+4) \)
c. \( 4 v /(A-4) \)
D. \( 2 v /(A-4) \)
Subject: Maths
Let \( \Delta= \)
\( \left|\begin{array}{ccc}\sin \theta \cos \phi & \sin \theta \sin \phi & \cos \theta \\ \cos \theta \cos \phi & \cos \theta \sin \phi & -\sin \theta \\ -\sin \theta \sin \phi & \sin \theta \cos \phi & 0\end{array}\right|, \) ther
\( A \cdot \Delta \) is independent of \( \theta \)
B. \( \Delta \) is independent of \( \phi \)
\( c \cdot \Delta \) is a constant
D. \( \Delta \) is dependent of \( \phi \)
Subject: Maths
If \( \boldsymbol{y}= \)
\( \sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\cdots \cdot t o \infty}}} \)
then \( \frac{d y}{d x} \) is
A \( \cdot \frac{\cos x}{1+2 y} \)
B. \( -\frac{\sin x}{1-2 y} \)
c. \( \frac{\cos x}{1-2 y} \)
D. \( \frac{\cos x}{2 y-1} \)
Subject: Maths
In \( \triangle A B C, P Q \) is a line segment intersecting \( A B \) at \( P \) and \( A C \) at \( Q \) such that \( \mathrm{PQ} \| \mathrm{BC} \) and \( \mathrm{PQ} \) divides \( \triangle \mathrm{ABC} \) into two parts equal in area. Find \( \frac{B P}{A B} \)
Subject: Chemistry
A dilute Ferrous sulphate solution was gradually added to the beaker containing acidified permanganate solution. The light purple colour of the solution fades and finally disappears. Which of the following is the correct explanation for the observation?
A. \( K M n O_{4} \) is an oxidizing agent, it oxidizes \( F e S O_{4} \)
B. \( F e S O_{4} \) acts as an oxidizing agent and oxidizes \( K M n O_{4} \)
c. The colour disappears due to dilution: no reaction is involved
D. \( K M n O_{4} \) is an unstable compound and decompose presence of \( F e S O_{4} \) to a colourless compound
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}(\boldsymbol{C l})-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
and \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C}(\boldsymbol{C l})\left(\boldsymbol{C H}_{3}\right)- \)
\( C H_{3} \) are both positional and chain
isomerism of each other.
A. True
B. False
Subject: Maths
Monthly expenditures on milk in 100 familes of a housing
\( \begin{array}{llll}\text { Monthly } & 0- & 175- & 350- \\ \begin{array}{l}\text { expenditure } \\ \text { (in Rs) }\end{array} & \begin{array}{l}\mathbf{1 7 5} \\ \mathbf{3 5 0}\end{array} & \mathbf{5 2 5}\end{array} \)
Number of
10
14
familes
Find the mean, mode and median for this distribution
Subject: Chemistry
Consider the values of \( \Delta H^{o} \) (in
\( \left.k J m o l^{-1}\right) \) and for \( \Delta S^{o}\left(\operatorname{in} J m o l^{-1} K^{-1}\right) \)
given for four different reactions. For
which reaction will \( \Delta G^{o} \) increase the
most positive) when temperature is
increased from \( 0^{\circ} C \) to \( 25^{\circ} \mathrm{C} \) ?
A \( . \Delta H^{o}=50, \Delta S^{o}=50 \)
B . \( \Delta H^{o}=90, \Delta S^{o}=20 \)
c. \( \Delta H^{o}=-20, \Delta S^{o}=-50 \)
D. \( \Delta H^{o}=-90, \Delta S^{o}=-20 \)
Subject: Maths
Evaluate \( \int_{0}^{2 \pi} \frac{x \sin ^{2 n} x}{\sin ^{2 n} x+\cos ^{2 n} x} d x, \) for
\( \boldsymbol{n}>\mathbf{0} \)
\( A \)
B. \( 2 \pi \)
\( \mathbf{c} \cdot \pi^{2} \)
D. \( \frac{1}{2} \pi \)
Subject: Physics
A body executing \( S . H . M . \) along a
straight line has a velocity of \( 3 m s^{-1} \)
when it is at a distance of 4 m from its
mean position and \( 4 m s^{-1} \) when it is at
a distance of \( 3 m \) from its mean
position. Its angular frequency and amplitude are:
A \( \cdot 2 \) rad \( s^{-1} \) \& \( 5 m \)
B. 1 rad \( s^{-1} \) \& \( 10 m \)
c. 2 rad \( s^{-1} \) \& \( 10 m \)
D. 1 rad \( s^{-1} \) \& \( 5 m \)
Subject: Physics
A thin wire has a length of \( 21.7 \mathrm{cm} \) and
radius 0.46 mm. The volume of the wire
to correct significant figures is :
A \( .1 .4 \mathrm{cm}^{3} \)
B. \( 0.14 \mathrm{cm}^{3} \)
c. \( 0.14 \mathrm{mm}^{3} \)
D. None of these
Subject: Physics
A body of mass 2 kg is thrown up vertically with a KE of 490 J. If the acceleration due to gravity is \( 9.8 m s^{-2} \) the height at which the KE of the body becomes half of the original value is:
\( A \cdot 50 \mathrm{m} \)
B. 25 \( \mathrm{m} \)
c. \( 12.5 \mathrm{m} \)
D. \( 10 \mathrm{m} \)
Subject: Chemistry
Which of the following is intensive
property?
(I) Internal energy
(III) pH
(III) Boiling point
\( (\mid V) \) EMF
(V) Molar entropy
A . ।.॥.III,IV,V
B. ॥,॥ᅵ,IV
c. ॥ा,॥
D. \( \|,\|, \) IV \( , v \)
Subject: Chemistry
\( \ln \) a daniel cell, if \( \boldsymbol{A}\left(\boldsymbol{E}^{o}=-\mathbf{0 . 7 6} \boldsymbol{C}\right) \) and
\( B\left(E^{o}=-2.36 V\right) \) half cells are taken
then:
\( A \cdot B \) acts as anode
B. \( A \) acts as anode
c. \( B \) acts as cathode
D. cannot be predicted
Subject: Maths
\( \lim _{x \rightarrow 9} \frac{2 x-7 \sqrt{x}+3}{3 x-11 \sqrt{x}+6} \)
\( \mathbf{A} \cdot \frac{3}{4} \)
B. \( \frac{5}{3} \)
\( c \cdot \frac{5}{7} \)
\( D \cdot \frac{3}{7} \)
Subject: Physics
A bicycle travels \( 3.2 k m \) due east in \( 0.1 h \)
the \( 3.2 k m \) at 15.0 degrees east of
north in \( 0.21 h \), and finally another
\( 3.2 k m \) due east in \( 0.1 h \) to reach its
destination. The time lost in turning is negligible. What is the average velocity for the entire trip? (in \( \mathrm{km} / \mathrm{h}) \)
A . 20
B . 21
c. 19
D. 30
Subject: Chemistry
Select the incorrect statement(s) about
\( N_{2} F_{4} \) and \( N_{2} H_{4} \)
(i) \( \ln N_{2} F_{4}, \) d-orbitals are contracted by
electronegative fluorine atoms, but dorbital contraction is not possible by H-
\( \operatorname{atoms} \operatorname{in} N_{2} H_{4} \)
(ii) The \( N-N \) bond energy in \( N_{2} F_{4} \) is
more than \( N-N \) bond energy in \( N_{2} H_{4} \)
(iii) The \( N-N \) bond length in \( N_{2} F_{4} \) is
more than that in \( N_{2} H_{4} \)
(iv) The \( N-N \) bond length in \( N_{2} F_{4} \) is
less than that in \( N_{2} H_{4} \)
Choose the correct code.
A. I, II and III
B. I and III
c. Il and IV
D. II and III
Subject: Chemistry
Which one of the following methods is
used to prepare \( M e_{3} \) COEt with a good
yield?
A . Mixing EtONa with \( M e_{3} C C l \)
B. Mixing \( M e_{3} C O N a \) with \( E t C l \)
C. Heating a mixture of \( (1: 1) E t O H \) and \( M e_{3} C O H \) in the presence of \( \operatorname{conc} . H_{2} S O_{4} \)
D. Treatment of \( M e_{3} C O H \) with \( E t M g I \)
Subject: Chemistry
Which choice shows the answer to the
following mathematical operation with the correct number of significant
figures? \( 4.51 \times 10^{5}+3.6 \times 10^{3} \)
A \( .4 .55 \times 10^{5} \)
В. \( 8.11 \times 10^{5} \)
c. \( 4.546 \times 10^{5} \)
D. \( 8.11 \times 10^{8} \)
E . \( 4.5 \times 10^{5} \)
Subject: Chemistry
What concentration of \( \boldsymbol{F}- \)
\( \boldsymbol{C H}_{2} \boldsymbol{C O O H},\left(\boldsymbol{K}_{\boldsymbol{a}}=\boldsymbol{2} \boldsymbol{6} \times \mathbf{1 0}^{-\boldsymbol{3}}\right) \) is
needed so that \( \left[\boldsymbol{H}^{+}\right]=\mathbf{2} \times \mathbf{1 0}^{-\mathbf{3}} \) ?
A \( \cdot 1.53 \times 10^{-3} M \)
В. \( 2.6 \times 10^{-3} M \)
c. \( 5.2 \times 10^{-3} M \)
D. \( 3.53 \times 10^{-3} \) М
Subject: Chemistry
The general electronic configuration of d-block element is \( (n-1) d^{1-10} n s^{1-2} \)
where \( n \) is the outer most shell.

However, palladium does not follow this general electronic configuration. It has an electron configuration \( [\boldsymbol{K} \boldsymbol{r}]^{36} \boldsymbol{4} \boldsymbol{d}^{10} \boldsymbol{5} \boldsymbol{s}^{0} \)
in order to have stability. Give a reason behind it.
Subject: Chemistry
The slope and intercept respectively of the graph drawn between \( \log \frac{x}{m} \) and \( \log \) \( P \) in respect of the logarithmic form of Freundlich adsorption isotherm are :
A \( \cdot \)n.log\( \frac{1}{K} \)
в. \( \frac{1}{n}, \log K \)
c. \( \log n, \frac{1}{K} \)
D. \( n, \log K \)
Subject: Physics
The maximum and minimum distance
of earth from sun are \( r_{1} \) and \( r_{2} \)
respectively What will be the distance of earth from sun when its position vector is perpendicular to the major axis of its orbit
A \( \cdot \frac{r_{1}+r_{2}}{4} \)
в. \( \left(\frac{r_{1}+r_{2}}{r_{1}-r_{2}}\right) \)
c. \( \frac{2 r_{1} r_{2}}{r_{1}+r_{2}} \)
D. \( \frac{r_{1}+r_{2}}{3} \)
Subject: Chemistry
Which of the following statement is
correct for diborane?
A. Small amines like \( N H_{3}, C H_{3} N H_{2} \) give
unsymmetrical cleavage of diborane
B. Large amines such as \( \left(C H_{3}\right)_{3} N \) and pyridine gives symmetrical cleavage of diborane
C. Small as well as large amines both gives symmetrical cleavage of diborane
D. \( (A) \) and
(B) both
Subject: Chemistry
Assertion
Bond order for \( C O^{+} \) is more than bond
order in \( C O \) whereas bond order in \( N_{2}^{+} \)
is less than \( N_{2} \) whereas both are
isoelectronics.
Reason
Both have same bond order.
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 solid body rotates about a stationary axis according to the law
\( \varphi=a t-b t^{3}, \) where \( a=6.0 \mathrm{rad} / \mathrm{s} \) and
\( \boldsymbol{b}=\mathbf{2} . \mathbf{0} \boldsymbol{r} \boldsymbol{a} \boldsymbol{d} / \boldsymbol{s}^{\mathbf{3}} \)
Find the mean values of the angular velocity and angular acceleration averaged over the time interval between
\( t=0 \) and the complete stop. The sum of
their magnitudes is x. Find the value of
\( \mathbf{x} \)
Subject: Chemistry
Why all \( P-F \) bonds in \( P F_{5} \) are not
equivalent?
\( \mathbf{A} \cdot P F_{5} \) has \( s p^{3} d \) hybridisation, out of five \( P \) - \( F \) bonds three are equatorial which have different lengths.
B. \( P F_{5} \) has \( s p^{3} \) hybridisation, out of five \( P \) - \( F \) bonds two are equatorial which have different lengths.
C. Out of five \( P \) - \( F \) bonds two are axial and three equatorial. All five bonds have different bond lengths.
D. \( P F_{5} \) is made up of two types of bonds namely covalent and coordinate, hence are not equivalent.
Subject: Maths
\( f(x)=\left|\begin{array}{ccc}\cos x & 1 & 0 \\ 1 & \cos x & 1 \\ 0 & 1 & \cos x\end{array}\right| \) the
\( f^{\prime}\left(\frac{\pi}{3}\right) \) equals
A \( \frac{11 \sqrt{3}}{8} \)
\( B \cdot \frac{5 \sqrt{3}}{8} \)
\( c \cdot-\frac{5 \sqrt{3}}{8} \)
D. none of these
Subject: Chemistry
Balance reaction for preparation
of Ethyl chloride to Ethene is:
A \( \cdot C_{2} H_{5} C l+K O H(\text {alcoholic soln.}) \rightarrow C H_{2}=C H O H+ \)
\( H C l \)
B. \( C_{2} H_{5} C l+K O H(\text {alcoholic soln.}) \rightarrow C H_{3}-C H_{3}+ \)
\( H C l \)
C. \( C_{2} H_{5} C l+K O H \) (alcoholic soln.) \( \rightarrow C H_{2}=C H_{2}+ \) \( H C l \)
D. none of these
Subject: Maths
n figure if PQR is tangent to circle at \( \mathrm{Q} \)
whose centre is \( 0 . A B \) is a chord parallel
to PR and \( \angle B Q R=70^{\circ} \) then \( \angle A Q B \) is
equal to
\( \mathbf{A} \cdot 20 \)
B. 40
\( c .35 \)
D. 45
Subject: Physics
A pendulum clock is 5 sec fast at
temperature of \( 15^{\circ} \mathrm{C} \) and 10 sec slow at
a temperature of \( 30^{\circ} \mathrm{C} \). At temperature
does it give the correct time-
A \( \cdot 18^{\circ} \mathrm{C} \)
B . \( 20^{\circ} \mathrm{C} \)
c. \( 22.5^{\circ} \mathrm{C} \)
D. \( 25^{\circ} \mathrm{C} \)
Subject: Physics
Bulk modulus of water is \( 2 \times 10^{9} N / m^{2} \)
The change in pressure required to increase the density of water by \( 0.1 \% \) is
A. \( \$ \$ 21 \) times \( 10^{\wedge}\{9\} N /\left\{m^{\wedge}\{2\} \$ \$\right. \)
B. \$\$21times 10^283N/ \{m\wedge(2) \$\$
c. \( \$ \$ 21 \) times \( 10^{\wedge}\{6\} N /\left\{m^{\wedge}(2) \$ \$\right. \)
D. \$\$21times 10^{223N/ } \{ m ^ { \wedge } ( 2 ) \$ \$
Subject: Chemistry
The ionization potential of a hydrogen atom is \( 13.6 \mathrm{eV} \). The ionization potential
of \( B e^{3+} \) ion is:
A. \( 217.6 e V \)
в. \( 109.8 e V \)
c. \( 54.4 e V \)
D. \( 136.0 e V \)
Subject: Physics
A particle is projected up along a rough
plane of inclination \( 45^{0} \) with the horizontal. If the coefficient of friction is
\( 0.5, \) the retardation is \( (g= \) acceleration due to gravity):
A \( \cdot \frac{g}{2} \)
в. \( \frac{g}{2 \sqrt{2}} \)
c. \( \frac{3 g}{2 \sqrt{2}} \)
D. \( \frac{g}{\sqrt{2}} \)
Subject: Physics
Spherical Capacitorlt consists of two
concentric conducting spherical shells
of radii \( a \) and \( b(a<b) . \) The inner shell is
given a charge \( Q \) and outer shell is
given a charge \( Q . \) The potential
difference between the shells is given
by \( \boldsymbol{V}_{\boldsymbol{i}}-\boldsymbol{V}_{\mathbf{0}}=-\int_{\boldsymbol{b}}^{\boldsymbol{a}} \boldsymbol{E} \boldsymbol{d} \boldsymbol{r} \)
\( \Rightarrow V=-\int_{b}^{a} \frac{Q}{4 \pi \varepsilon_{o} r^{2}} d r \)
\( \Rightarrow V=\frac{Q(b-a)}{4 \pi \varepsilon_{o} a b} \)
\( \mathrm{Now}, C=\frac{Q}{V} \Rightarrow C=\frac{4 \pi \varepsilon_{o}}{(b-a)} \)
Subject: Maths
In a triangle \( A B C, \) a straight line parallel to BC intersects \( A B \) and \( A C \) at points \( D \) and E respectively. If the area of ADE is one fifth of the area of \( \mathrm{ABC} \) and \( \mathrm{BC}=10 \)
\( \mathrm{cm}, \) then DE equals.
A . \( 2 \mathrm{cm} \)
B . \( 2 \sqrt{5} \mathrm{cm} \)
\( c \cdot 4 \mathrm{cm} \)
D. \( 4 \sqrt{5} \mathrm{cm} \)
Subject: Chemistry
Which of the following is correct?
A. \( \% \) abundance of \( B^{10}=\% \) abundance of \( B^{11} \)
B. \( \% \) abundance of \( B^{10}>\% \) abundance of \( B^{11} \)
C. \( \% \) abundance of \( B^{10}<\% \) abundance of \( B^{11} \)
D. none of the above
Subject: Physics
When in going east at \( 10 \mathrm{km} / \mathrm{h} \) a train moving with constant velocity appears to be moving exactly north - east. when my velocity is increased to \( 30 \mathrm{km} / \mathrm{h} \) east it appears to be moving north What is the velocity of train along north (in \( \mathrm{Kmph}) \) ?
\( A \cdot 30 \mathrm{km} / \mathrm{h} \)
B. 20 km/h
\( c \cdot 50 \mathrm{km} / \mathrm{h} \)
D. \( 10 \mathrm{km} / \mathrm{h} \)
Subject: Chemistry
Which one of the following has \( 0-0 \)
bond?
A \( \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{6} \)
в. \( \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{7} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{5} \)
D. \( \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{8} \)