AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
In
\( \Delta P Q R, \) an exterior angle at \( R \) is
represented by \( 5 x+10 . \) If the two non-
adjacent interior angles are represented by \( 3 x+15 \) and \( 3 x-20 \)
find the value of the exterior angle, \( \angle R \)
A \( .90^{\circ} \)
B. \( 80^{\circ} \)
\( c \cdot 84^{\circ} \)
D. \( 85^{\circ} \)
Subject: Maths
Assertion If \( A=\left(\begin{array}{ll}\cos \alpha & \sin \alpha \\ \cos \alpha & \sin \alpha\end{array}\right) \) and \( B= \)
\( \left(\begin{array}{cc}\cos \alpha & \cos \alpha \\ \sin \alpha & \sin \alpha\end{array}\right) \) then \( A B \neq I \)
Reason
The product of two matrices can never be equal to an identity matrix
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
\( \operatorname{Let} \boldsymbol{y}=\log \sin \left(\boldsymbol{x}^{2}\right), \boldsymbol{0}<\boldsymbol{x} \leq \frac{\boldsymbol{\pi}}{2} . \) The
value of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) at \( \boldsymbol{x}=\frac{\sqrt{\boldsymbol{\pi}}}{\boldsymbol{2}} \) is:
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. \( \frac{\pi}{-4} \)
D. \( \sqrt{\pi} \)
Subject: Physics
A metal rod \( A \) of length \( \ell_{0} \) expands by
\( \Delta \ell \) when its temperature is raised by
\( 100^{\circ} \mathrm{C} . \) Another rod \( B \) of different metal
of length \( 2 \ell_{0} \) expands by \( \Delta \ell / 2 \) for same
rise in temperature. A third rod \( C \) of
length \( 3 \ell_{0} \) is made up of pieces of rods
\( A \) and \( B \) placed end to end expands by \( 2 \Delta \ell \) on heating through 100 K.The length of each portion of the composite rod is:
A \( \cdot \frac{5}{3} \ell_{0}, \frac{4}{3} \ell_{0} \)
B. \( \ell_{0}, 2 \ell_{0} \)
c. \( \frac{3 \ell_{0}}{2}, \frac{3 \ell_{0}}{2} \)
D \( \cdot \frac{2}{3} \ell_{0}, \frac{7}{3} \ell_{0} \)
Subject: Chemistry
An ideal solution was obtained by mixing methanol and ethanol. If the partial vapour pressure of methanol
and ethanol are \( 2.619 \mathrm{kPa} \) and \( 4.556 \mathrm{kPa} \)
respectively, the composition of vapour (in terms of mole fraction) will be:
A. 0.635 Меон, 0.365 Еtон
B. 0.365 МеОН, 0.635 Еtон
c. 0.574 МеОН, 0.326 Еtон
D. 0.173 МеОН, 0.827 Еtон
Subject: Physics
toppr
Q Type your question
Those of which not regaining are called
plastic. There may be delay in the
regaining in some materials. They are
said to have got elastic aftereffect,
since they have gone beyond the elastic
limit. Repeated application and removal
of force break at any point time and so
a re avoided.
The stress strain graph for two
materials \( A \) and \( B \) is shown in the
following figure:

The time in which the two materials
regain their original status is \( t_{A} \) and \( t_{B} \)
related as \( t_{B}=2 t_{B} . \) Then the materia
under elastic aftereffect (relatively) is
\( \mathbf{A} \cdot B \)
B. \( A \)
\( c \cdot \operatorname{Both} A \) and \( B \)
D. Neither \( A \) nor \( B \)
Subject: Maths
The value of \( 4-\frac{5}{1+\frac{1}{3+\frac{1}{2+\frac{1}{4}}}} \) is
A \( \cdot \frac{40}{31} \)
B. \( \frac{4}{9} \)
\( c \cdot \frac{1}{8} \)
D. \( \frac{31}{40} \)
Subject: Physics
toppr
Q Type your question
connected to a large tank of water. The
surface of the water is at a height
above the end of the tap. By considering the dynamics of a thin "cylinder' of water in the stream answer the
following: (ignore any resistance to the
flow and any effects of surface tension,
\( \operatorname{given} \rho_{w} \) density of water)
Which of the following equation expresses the fact that the flow rate at
the tap is the same as at the stream
point with diameter \( D \) and velocity \( v \) (i.e.
D in terms of \( \left.D_{0}, v_{0} \text { and } v \text { will be }\right) \)
A \( \cdot D=\frac{D_{0} v_{0}}{v} \)
B. \( \quad D=\frac{D_{0} v_{0}^{2}}{v^{2}} \)
c. \( D=\frac{D_{0} v}{v_{0}} \)
D. \( D=D_{0} \sqrt{\frac{v_{0}}{v}} \)
Subject: Physics
Given that \( \vec{P}+\vec{Q}=\vec{P}-\vec{Q} \). This can
be true when :-
A \( \cdot \vec{P}=\vec{Q} \)
B . \( \vec{Q} \) is a null vector
C. Niether \( \vec{P} \) and \( \vec{Q} \) is a null vector
D. \( \vec{P} \) is perpendicular to \( \vec{Q} \)
Subject: Maths
If the position vectors of the points \( \boldsymbol{A}, \boldsymbol{B} \) and \( C \) be \( i+j, i-j \) and \( a i+b j+c k \)
respective;y, then the points \( A, B \) and
\( C \) are collinear if:
A \( . a=b=c=1 \)
B. \( a=1, b \) and \( c \) are arbitrary scalars
C. \( a=b=c=0 \)
0
Subject: Physics
What is a free electron?
A. Any electron that is not attached to an ion, atom, or molecule and is free to move under the influence of an applied electric or magnetic field
B. Any electron that is attached to an ion, atom, or molecule and is free to move under the influence of an applied electric or magnetic field
C. Any neutron that is not attached to an ion, atom, or molecule and is free to move under the influence of an applied electric or magnetic field
D. None
Subject: Chemistry
Which of the following is the correct
electron dot structure of \( N_{2} O \)
molecule?
\( A \)
\( \therefore \mathbf{N}=\mathbf{N}=\mathbf{0}^{*} \)
в. \( \therefore \ddot{N}-N=\ddot{O}: \)
\( c \)
\( \mathbf{x}=\mathbf{N}=\ddot{\mathbf{O}} \)
D. \( \therefore \mathbf{N} \equiv \mathbf{N}=\ddot{\mathbf{O}} \)
Subject: Physics
A body of mass \( \mathrm{m} \) is kept on an inclined
plane of inclination \( 30^{0} \) to the
horizontal. If the angle of repose is \( 45^{0} \) static friction on the body is
A \( \cdot \frac{m g}{\sqrt{2}} \)
B. \( \frac{m g}{2} \)
\( \mathrm{c} \cdot \mathrm{mg} \)
D. \( \sqrt{2} m g \)
Subject: Physics
The resistance \( R=10 \Omega \), inductance \( L= \)
\( 2 \mathrm{mH} \) and capacitance \( \operatorname{cof} 5 \mu F \) are
connected in same to an AC source of
frequency \( 50 \mathrm{Hz} \), then at resonance the impedance of circuit is
A. zero
B. \( 10 \Omega \)
c. \( 1000 \Omega \)
D. \( 10 k \Omega \)
Subject: Maths
Let \( A B C \) be a triangle, the position vectors of whose vertices are \( 7 \widehat{j}+ \) \( \mathbf{1 0} \widehat{\boldsymbol{k}},-\hat{\mathbf{i}}+\mathbf{6} \hat{\boldsymbol{j}}+\mathbf{6} \widehat{\boldsymbol{k}} \) and \( -\mathbf{4} \hat{\boldsymbol{i}}+\mathbf{9} \hat{\boldsymbol{j}}+\boldsymbol{6} \widehat{\boldsymbol{k}} \)
Then \( \Delta A B C \) is
This question has multiple correct options
A. isosceles
B. equilateral
c. right angled
D. none of these
Subject: Chemistry
The strength of bonds by \( 2 s-2 s, 2 p- \)
\( 2 p, 2 s-2 p, 1 s-1 s \) overlap has the
order:
A. \( 1 s-1 s>2 s-2 s>2 s-2 p>2 p-2 p \)
В. \( 2 p-2 p>2 s-2 p>2 s-2 s>1 s-1 s \)
c. \( 2 s-2 s>1 s-1 s>2 s-2 p>2 p-2 p \)
D. \( 2 s-2 p>2 s-2 s>2 p-2 p>1 s-1 s \)
Subject: Physics
Assertion
Eddy currents in conductors of non-zero resistivity generate heat as well as electromagnetic forces.
Reason
Current is always associated with heat
and electromagnetic forces
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
If \( v_{e} \) is the escape velocity for earth when a projectile is fired from the surface of earth. Then the escape velocity if the same projectile is fired from its centre is
A \( \cdot \sqrt{\frac{3}{2}} v_{e} \)
в. \( \frac{3}{2} v_{e} \)
c. \( \sqrt{\frac{2}{3}} v_{e} \)
D. \( \frac{2}{3} v_{e} \)
Subject: Chemistry
\( N a, M g \) and \( A l \) are the elements of the
\( 3^{r d} \) period of the Modern Periodic Table having group number 1,2 and 13 respectively. Which one of these elements has the
(a) highest valency,
(b) largest atomic radius, and (c)
maximum chemical reactivity? Justify
your answer starting the reason for each.
Subject: Maths
In the \( \Delta A B C, \) if \( A B=\sqrt{2} ; A C= \)
\( \sqrt{\mathbf{2 0}}, \boldsymbol{B}=(\mathbf{3}, \mathbf{2}, \mathbf{0}) \) and \( \boldsymbol{C}=(\mathbf{0}, \mathbf{1}, \mathbf{4}) \)
then the length of the median passing
through \( \boldsymbol{A} \) is
A \( \cdot \frac{3}{2} \)
B. \( \frac{9}{2} \)
c. \( \frac{3}{\sqrt{2}} \)
D. \( \frac{\sqrt{3}}{2} \)
Subject: Physics
Which of the following waves is progressing in the \( y \) direction?
A \( . x=x_{0} \cos (\omega t-k y) \)
в. \( y=y_{0} \cos (\omega t-k y) \)
c. \( y=y_{0} \cos k x \sin \omega t \)
D. \( y=y_{0} \sin k x \cos \omega t \)
Subject: Chemistry
Assertion
One faraday of electric charge deposits
weight equal to the electrochemical
equivalent of the substance.
Reason
One faraday deposits one mole of the
substance.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
Calcium carbonate reacts with aqueous
\( H C I \) to give \( C a C l_{2} \) and \( C O_{2} \) according
to the reactions:
\( \boldsymbol{C a C O}_{3(s)}+\mathbf{2 H C l}_{(a q)} \rightarrow \boldsymbol{C a C l}_{2(a q)}+ \)
\( \boldsymbol{C O}_{2(g)}+\boldsymbol{H}_{2} \) OWhat mass of \( \boldsymbol{C a C O}_{3} \) is
required to completely react with
\( 25 m L \) of \( 0.75 M H C l ? \)
A \( .0 .253 \mathrm{g} \)
B. \( 0.425 \mathrm{g} \)
c. \( 0.9375 \mathrm{g} \)
D. None of these
Subject: Physics
i) Space Stations are used to study the effects of long-space flight on the human body. Justify.
ii) \( \boldsymbol{F}=\boldsymbol{G} \boldsymbol{m}_{1} \boldsymbol{m}_{2} / \boldsymbol{d}^{2} \) is the
mathematical form of Newton's law of
gravitation, \( G- \) gravitational constant
\( m_{1} m_{2}, \) are the masses of two bodies
separated by a distance \( d \), then given
the statement of Newton's law of
gravitation.
Subject: Maths
Let \( \boldsymbol{P}(\boldsymbol{n})=11^{n+2}+12^{2 n+1}, \) then the
least value of the following which \( \boldsymbol{P}(\boldsymbol{n}) \)
is divisible by is
A . 19
B. 7
c. 133
D. none of these
Subject: Physics
The angle of banking \( \theta \) for a cyclist taking curve is given by \( \tan \theta=\frac{v^{n}}{r g} \)
where symbols \( (\mathrm{v}= \) speed of the cyclist, \( r= \) radius of the curved path, \( g= \)
acceleration due to gravity) have their usual meanings.Then the value of \( n \) is
equal to
A . 1
B. 3
c. 2
\( D \)
Subject: Maths
The coeffecients of the middle term in
the binomial expansion in powers of \( x \) of \( (1+\alpha x)^{4} \) and \( (1+\alpha x)^{6} \) is the same
if \( \boldsymbol{\alpha} \) equals
A \( \cdot-\frac{5}{3} \)
в. \( \frac{10}{3} \)
\( c \cdot \frac{3}{10} \)
D.
Subject: Chemistry
In which of the following, iron is present
in its lowest oxidation state?
A \( \cdot \) FeSO\( _{4} \cdot 7 \mathrm{H}_{2} \) O
в. \( F e(C O)_{5} \)
\( \mathrm{c} . F e_{e, 94} \mathrm{O} \)
D. \( F e_{3} O_{4} \)
Subject: Maths
Find the derivative of \( \frac{\tan ^{-1} x}{1+\tan ^{-1} x} \) w.r.t.
\( \tan ^{-1} x \)
A \( \cdot \frac{1}{\sec ^{-1} x} \)
в. \( \frac{1}{\left(\tan ^{-1} x\right)^{2}} \)
c. \( \frac{1}{1+\tan ^{2} x} \)
D. \( \frac{1}{\left(1+\tan ^{-1} x\right)^{2}} \)
Subject: Physics
A travelling acoustic wave frequency
\( 500 H z \) is moving along the positive \( x \)
direction with a velocity of \( 300 m s^{-1} \)
The phase difference between two
points \( x_{1} \) and \( x_{2} \) is \( 60^{\circ} . \) Then the minimum separation between the two
points is:
\( \mathbf{A} \cdot 1 m m \)
в. \( 1 \mathrm{cm} \)
\( c \cdot 10 \mathrm{cm} \)
D. \( 10 \mathrm{mm} \)
Subject: Chemistry
Electronic configuration of \( G a \) is
A \( \cdot[H e] 2 s^{2} 2 p^{1} \)
В \( \cdot[N e] 3 s^{2} 2 p^{1} \)
\( \mathbf{c} \cdot[K r] 4 d^{10} 5 s^{2} 5 p^{1} \)
\( \mathbf{D} \cdot[A r] 3 d^{10} 4 s^{2} 4 p^{1} \)
Subject: Physics
A car goes around uniform circular track of radius \( R \) at a uniform speed \( v \)
once in every \( T \) seconds. The
magnitude of the centripetal
acceleration is \( a_{C} \). If the car now goes uniformly around a larger circular track
of radius \( 2 R \) and experiences a
centripetal acceleration of magnitude
\( 8 a_{c}, \) then its time period is
A . \( 2 T \)
в. \( 3 T \)
c. \( T / 2 \)
D. 3 / 27
Subject: Chemistry
Electrolysis of \( 50 \% H_{2} S O_{4} \) produces:
A. \( H_{2} S_{2} O_{8} \) at anode
B. \( H_{2} \) at anode
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{5} \) at cathode
D. \( H_{2} O_{2} \) at anode
Subject: Maths
If \( A \) is a square matrix of order \( n \times n \)
and \( k \) is a scalar, then \( a d j(k A) \) is equal
to
A \( \cdot k^{n-1} a d j A \)
в. \( k^{n} \) adj \( A \)
c. \( k^{n+1} a d j A \)
D. kadj A
Subject: Maths
An urn contains 10 balls coloured either
black or red When selecting two balls
from the urn at random, the probability
that a ball of each color is selected is
\( 8 / 15 . \) Assuming that the urn contains more black balls then red balls, the
probability that at least one black ball is selected, when selecting two balls, is
\( \mathbf{A} \cdot \frac{18}{45} \)
B. \( \frac{30}{45} \)
c. \( \frac{39}{45} \)
D. \( \frac{41}{45} \)
Subject: Physics
A steady current is set up in a metallic wire of non-uniform cross section. Then
the drift velocity is related to the area of \( \operatorname{cross} \operatorname{section}(A) \) as:
A. \( V_{d} \propto A^{-1} \)
B. \( V_{d} \propto A \)
\( \mathbf{C} \cdot V_{d} \propto A^{2} \)
D. \( V_{d} \) is independent of \( A \)
Subject: Maths
A school has 11 Maths teachers and 7
Science teachers. In how many ways can they be seated in a round table so
that all the Science teachers do not sit
together?
\( \mathbf{A} \cdot 18 !-(12 ! \times 7 !) \)
B . \( 17 !-(12 ! \times 7 !) \)
c. \( 17 !-(11 ! \times 7 !) \)
D. \( 18 !-(11 ! \times 7 !) \)
Subject: Chemistry
For a reaction scheme \( \boldsymbol{A} \stackrel{\boldsymbol{k}_{1}}{\longrightarrow} \boldsymbol{B} \stackrel{\boldsymbol{k}_{2}}{\longrightarrow} \boldsymbol{C}, \) if
the rate of formation of \( B \) is set to be
zero then the concetration of \( B \) is given
by:
\( ^{A} \cdot\left(\frac{k_{1}}{k_{2}}\right)[A] \)
B . \( \left(k_{1}+k_{2}\right)[A] \)
c. \( k_{1} k_{2}[A] \)
D. \( \left(k_{1}-k_{2}\right)[A] \)
Subject: Maths
If a point \( P \) in the space such that \( \overline{O P} \)
is inclined to \( O X \) at 45 and \( O Z \) to 60
then \( \overline{O P} \) inclined to \( O Y \) is
A \( .75^{\circ} \)
B . \( 75^{\circ} \) or \( 105^{\circ} \)
C. \( 60^{\circ} \) or \( 120^{\circ} \)
D. None of these
Subject: Physics
A copper wire 4 m long has diameter of
1 \( m m \), if a load of \( 10 k g \) wt is attached
at other end. What extension is
produced, if Poisson's ratio is \( 0.26 ? \) How much lateral compression is produced in it? \( \left(\boldsymbol{Y}_{\boldsymbol{c u}}=\mathbf{1 2 . 5} \times \mathbf{1 0}^{\mathbf{1 0}} \boldsymbol{N} / \boldsymbol{m}^{2}\right) \)
Subject: Maths
If \( 3 x+7 \leq 1, \) where \( x \in Z, \) then find
values of \( x \)
A \( \cdot\{2,2\} \)
в. \( \{-2,-3,-4, \ldots\} \)
c. \( \{-2,-1,0,1, \ldots\} \)
D. None of these
Subject: Chemistry
The initial concentrations or pressure of reactants and products are given for each of the following systems. The reaction quotient and the directions in which system will shift to reach equilibrium of the following reaction is:
\( \mathbf{2} N \boldsymbol{H}_{3}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{N}_{2}(\boldsymbol{g})+\mathbf{3} \boldsymbol{H}_{2}(\boldsymbol{g}), \boldsymbol{K}=\mathbf{1 7} \)
\( \left[\boldsymbol{N} \boldsymbol{H}_{3}\right]=\mathbf{0 . 2 0} \boldsymbol{M} ;\left[\boldsymbol{N}_{2}\right]= \)
\( \mathbf{1} . \mathbf{0 0} \boldsymbol{M} ;\left[\boldsymbol{H}_{\mathbf{2}}\right]=\mathbf{1 . 0 0} \boldsymbol{M} \)
A. 25, shifts left
B. 25, shifts right
c. 35 , shifts left
D. 35, shifts right
Subject: Physics
A projectile is fired with a velocity \( u \) at
angle \( \theta \) with the ground surface. During
the motion at any time it is making an
angle \( \alpha \) with the ground surface. The speed of particle at this time will be
A . ucos\theta\( \theta \)seca
B. ucos\theta.tana
c. \( u^{2} \cos ^{2} \alpha \sin ^{2} \alpha \)
D. usin\theta.sina
Subject: Physics
A car of mass \( 1000 \mathrm{kg} \) rounds a curve of radius \( 250 \mathrm{m} \) at \( 90 \mathrm{km} / \mathrm{hr} \). Cpmpute its,
A. Angular speed
B. Centripal accelearation
c. centripetal accele ration
D. Centripetal force.
Subject: Maths
Using elementary transformation, find the inverse of the matrix \( \boldsymbol{A}= \) \( \left[\begin{array}{cc}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \left(\frac{1+\boldsymbol{b} c}{\boldsymbol{a}}\right)\end{array}\right] \)
\( ^{\mathbf{A}} \rightarrow A^{-1}=\left[\begin{array}{cc}\frac{1+b c}{a} & b \\ -c & a\end{array}\right] \)
\( \stackrel{\mathbf{B}}{\rightarrow} \Rightarrow A^{-1}=\left[\begin{array}{cc}\frac{1+b c}{a} & -b \\ c & a\end{array}\right] \)
\( \stackrel{\mathrm{c}}{*} \quad, A^{-1}=\left[\begin{array}{cc}\frac{1+b c}{a} & b \\ c & a\end{array}\right] \)
D. None of these.
Subject: Chemistry
Van't Hoff factor, (i), of a \( 0.5 \% \) (w/W)
aqueous solution of \( K C l \) which freezes
at \( -0.24^{\circ} \mathrm{C} \) is:
\( \left(K_{f} \text { of water }=1.86 \mathrm{K} \mathrm{kg} \text { mol}^{-1}\right. \)
molecular weight of \( K C l=74.5 \) )
A . 1.52
B. 2.32
c. 1.92
D. 1.32
Subject: Chemistry
NaOCl is used as a bleaching agent
and sterilising agent. It can be prepared by the action of:
A. \( N a C l \) with \( H_{2} O \)
B. \( N H_{4} C l \) with \( N a O H \)
C. \( C l_{2} \) with cold and dil. \( N a O H \)
D. \( C l_{2} \) with hot and conc. \( N a O H \)
Subject: Chemistry
A conductivity cell filled with \( 0.01 M \)
KCl gives at \( 25^{\circ} \mathrm{C} \) the resistance of
604 ohms. The conductivity of \( K C l \) at
\( 25^{\circ} C \) is \( 0.00141 \Omega^{-1} c m^{-1} . \) The same
cell filled with \( 0.001 M A g N O_{3} \) gives a
resistance of 6529 ohms. Calculate the
molar conductivity of \( 0.001 M A g N O_{3} \)
solution at \( 25^{\circ} \mathrm{C} \)
Subject: Physics
A particle executes simple harmonic
motion between \( \boldsymbol{x}=-\boldsymbol{A} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{x}=+\boldsymbol{A} \)
The time taken for it to go from 0 to \( A / 2 \)
to \( A \) is \( T_{2} \). Then
A \( \cdot T_{1}<T_{2} \)
в. \( T_{1}>T_{2} \)
c. \( T_{1}=T_{2} \)
D. \( T_{1}=2 T_{2} \)
Subject: Chemistry
toppr
Q Type your question.
experiment to verify the value of \( \Delta H_{\text {solution}} \) for ammonium nitrate. She
places a known amount of water in a coffee-cup calorimeter and adds a known quantity of solid ammonium nitrate. She traces the course of the
reaction by use of a digital thermometer
Using \( \boldsymbol{q}_{\text {solute}} \) and \( \boldsymbol{q}_{\text {water}} \) to represent the quantity of heat gained or lost by the ammonium nitrate solute itself and the
water in the calorimeter, and using \( \triangle \boldsymbol{T} \)
to represent the temperature change that she expects to observe, which combination below correctly describes
the signs for \( q_{\text {solute}}, \boldsymbol{q}_{\text {water}}, \) and \( \Delta \boldsymbol{T} \) ?
\( A \)
\begin{tabular}{|c|c|}
\hline Variable & Sign \\
\hline q \( _{\text {solute }} \) & \( + \) \\
qwater & \( - \) \\
\( \Delta \mathbf{T} \) & \( + \) \\
\hline
\end{tabular}
в. \begin{tabular}{|c|c|}
\hline Variable & Sign \\
\hline q \( _{\text {solute }} \) & \( - \) \\
qwater & \( + \) \\
\( \Delta \mathbf{T} \) & \( + \) \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|}
\hline Variable & Sign \\
\hline q solute & \( + \) \\
qwater & \( - \) \\
\( \Delta \mathbf{T} \) & \( - \) \\
\hline
\end{tabular}
D. \begin{tabular}{|c|c|}
\hline Variable & Sign \\
\hline q \( _{\text {solute }} \) & \( - \) \\
qwater & \( + \) \\
\( \Delta \mathbf{T} \) & \( - \) \\
\hline
\end{tabular}
Subject: Physics
If density (D) acceleration (a) and force
(F) are taken as basic quantities,then Time period has dimensions
A \( \cdot \frac{1}{6} \) in \( F \)
B. \( -\frac{1}{6} \) in \( F \)
\( c \cdot-\frac{2}{3} \) in \( F \)
D. All the above are true
Subject: Chemistry
Assertion
lonic bonds are directional in nature
whereas covalent bonds are non-
directional.
Reason
According to orbital overlap concept,
the formation of a covalent bond
between two atoms results by pairing of electrons present in the valence shell
having same spins.
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
Select the INCORRECT statement:
\( \mathbf{A} \cdot N_{2} O \) with sodium metal in liquid ammonia forms sodium azide and nitrogen gas is liberated.
B. Ammonia is oxidized to nitrogen by dilute solution of sodium hypochlorite in presence of glue.
C. Ammonium dichromate on heating decomposes to give nitrogen and a green coloured compound.
D. CaNCN on hydrolysis produces a white precipitate and a gas which turns filter paper moistened with copper sulphate solution deep blue.
Subject: Maths
\( O \) is the centre of the circle. \( A B \) is a
chord of the circle. \( \boldsymbol{O} \boldsymbol{M} \perp \boldsymbol{A B} . \) If \( \boldsymbol{A B}= \)
\( 20 \mathrm{cm}, O M=2 \sqrt{11} \mathrm{cm}, \) then radius of
the circle is
A. \( 15 \mathrm{cm} \)
B. \( 12 \mathrm{cm} \)
\( c .10 \mathrm{cm} \)
D. \( 11 \mathrm{cm} \)
Subject: Chemistry
At \( 527^{\circ} \mathrm{C}, \) the reaction given below has
\( \boldsymbol{K}_{c}=\mathbf{4} \)
\( N H_{3}(g) \rightleftharpoons \frac{1}{2} N_{2}(g)+\frac{3}{2} H_{2}(g) \)
What is the \( K_{P} \) for the reaction?
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
A. \( 16 \times(800 R)^{2} \)
\( ^{\text {В } \cdot}\left(\frac{800 R}{4}\right)^{-2} \)
\( \left(\frac{1}{4 \times 800 R}\right)^{2} \)
D. None of these
Subject: Physics
An elastic circular wire of length \( \ell \)
carries a current \( I_{0} . \) It is placed in a
uniform magnetic field \( \vec{B} \) (out of paper)
such that its plane is perpendicular to the direction of \( \vec{B} \). The wire will
experience:
A. No force
B. A stretching force
c. A compressive force
D. A touque
Subject: Physics
If
\( x, v \) and \( a \) denote the displacement the velocity and the acceleration of a particle executing simple harmonic
motion of time period \( T, \) then, which of
the following does not change with time?
в. \( \frac{\mathrm{aT}}{\mathrm{x}} \)
c. \( a T+2 \pi v \)
D. \( \frac{\mathrm{aT}}{\mathrm{v}} \)
Subject: Physics
Assertion \( (A): \) Bulk modulus of
elasticity (K) represents
incompressibility of the material.
Reason \( (\mathrm{R}): K=-\frac{\Delta P}{\Delta V / V}, \) where
symbols have their standard meaning.
A. Both assertion and reason are true and the reason is
correct explanation of the assertion
B. Both assertion and reason are true, but reason is not correct explanation of the assertion
C. Assertion is true, but the reason is false
D. Assertion is false, but the reason is true
Subject: Chemistry
Number of atoms in 558.5 gram Fe is:
[At.wt. of \( \left.F e=55.85 g m o l^{-1}\right] \)
A. twice that 60 g carbon
B. \( 6.023 \times 10^{2} \)
c. half that in \( 8 \mathrm{g} \) He
D. \( 558.5 \times 6.023 \times 10^{23} \)
Subject: Maths
Find the sum of
\( \left(^{100} C_{0}+^{100} C_{2}+^{100} C_{6}+\dots . .\right) \)
\( \mathbf{A} \cdot 2^{9} \)
в. -2
\( c \cdot 2^{5} \)
D. \( -2^{5} \)
Subject: Physics
Assertion (A): The half life of a radioactive isotope is equal to \( \frac{\mathbf{0 . 6 9 3}}{\boldsymbol{\lambda}} \) Reason (R): Radioactivity is a first order reaction
The correct answer is
A. Both A and R are true and R is correct explanation of A
B. Both A and R are true and R is not the correct explanation of
C. A is true but R is false
D. A is false but R is true