AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Oxalic acid dihydrate, \( \boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4} \)
\( 2 H_{2} O(s) \) is often used as a primary
reagent to standardise sodium
hydroxide solution. Which of these facts are reasons to choose this substance as
a primary standard?
I. It is diprotic.
II. It is a stable compound that can be weighed directly in air.
III. It is available in pure form.
A. III only
B. I and II only
c. ॥ and III only
D. I. II and III
Subject: Physics
Draw a ray diagram in each of the following cases to show the formation of image, when the object is placed:
(i) between optical centre and principal focus of a convex lens.
(ii) anywhere in front of a concave lens.
(iii) at \( 2 \mathrm{F} \) of a convex lens.
State the signs and values of magnifications in the above mentioned cases (i) and (ii).
Subject: Physics
A ball is thrown at angle \( \theta \) and another
ball is thrown at an angle \( (90-\theta) \) with
the horizontal direction from the same
point with the same speed \( 40 m s^{-1} \). The
second ball reaches \( 50 m \) higher than the first ball. Find their individual
heights.
A. \( 20 m, 70 m \)
B . \( 25 m, 75 m \)
\( \mathbf{c} \cdot 15 m, 65 m \)
D. \( 10 m, 60 m \)
Subject: Maths
If the shortest distance between the
\( \operatorname{lines} 2 x+y+z-5=0=3 x+2 y+ \)
\( 4 z+\lambda \) and \( x \) -axis is \( \frac{3}{\sqrt{26}}, \) then the
value of \( \lambda \) is
A . -4
B. -
c. -6
D. -
Subject: Maths
If the angle between the lines \( k x-y+ \) \( 6=0,3 x-5 y+7=0 \) is \( \frac{\pi}{4}, \) then one
of the value of \( k= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
D.
Subject: Physics
\( \mathbf{A} \)
1 kg stationary bomb is exploded in three parts having mass ratio 1: 1: 3
Parts having same mass move in perpendicular directions with velocity \( 30 m / s, \) then the velocity of bigger part will be:
\( \mathbf{A} \cdot 10 \sqrt{2} \mathrm{m} / \mathrm{s} \)
В. \( \frac{10}{\sqrt{2}} m / s \)
c. \( 15 \sqrt{2} \mathrm{m} / \mathrm{s} \)
D. \( \frac{15}{\sqrt{2}} m / s \)
Subject: Maths
If \( \left.\left.\right|_{2} ^{4} 1\right|^{2}=\left|\begin{array}{cc}3 & 2 \\ 1 & x\end{array}\right|-\left|\begin{array}{cc}x & 3 \\ -2 & 1\end{array}\right|, \) then \( x= \)
\( A \cdot 6 \)
B. 7
\( c \cdot 8 \)
D. 16
Subject: Physics
Boiling point of water at normal atmospheric pressure is
\( \mathbf{A} \cdot 0^{\circ} C \)
B . \( 100^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 110^{\circ} \mathrm{C} \)
D. \( -5^{\circ} C \)
Subject: Physics
The correct equation of nuclear fusion
reaction is
\( \mathbf{A} \cdot_{1} H^{1}+_{1} H^{1} \rightarrow H_{2} \)
\( \mathbf{B} \cdot_{1} H^{2}+_{1} H^{1} \rightarrow_{2} H e^{4}+_{0} n^{1} \)
\( \mathbf{C} \cdot_{1} H^{2}+_{1} H^{2} \rightarrow_{2} H e^{4}+ \)energy
\( \mathbf{D} \cdot 2 H_{2}+3 H_{2} \rightarrow 5 H_{2} \)
Subject: Maths
Express in the simplest form. \( \sqrt{\frac{\mathbf{1 7 5}}{\mathbf{2 7}}} \)
A. \( -\frac{5}{3} \sqrt{\frac{7}{3}} \)
в. \( \frac{5}{3} \sqrt{\frac{7}{3}} \)
c. \( \frac{5}{3} \sqrt{\frac{1}{3}} \)
D. Not possible
Subject: Maths
In the given figure, two identical regular
hexagons are placed side by side as
shown.
Find the value z.
\( \mathbf{A} \cdot 60^{\circ} \)
\( \mathbf{B} \cdot 90^{\circ} \)
\( \mathbf{C} \cdot 120^{\circ} \)
D. \( 160^{\circ} \)
Subject: Physics
A tuning fork produces 8 beats /s with a sonometer wire. When tension in the
wire is increased by \( 21 \% \) again 8 beats/s produced with the same tuning fork, the frequency of the tuning fork is
\( \mathbf{A} \cdot 168 H z \)
в. \( 176 H z \)
\( \mathrm{c} .328 \mathrm{Hz} \)
D. \( 336 H z \)
Subject: Physics
Consider fusion of \( H e \) plasma. At what
temperature fusion at a distance 2 fm
is possible
A \( .2 .23 \times 10^{9} K \)
В. \( 22.3 \times 10^{9} K \)
\( \mathbf{c} \cdot 2.23 \times 10^{8} K \)
D. none of these
Subject: Physics
The splash of sound was heard 6 s after
dropping a stone into a well \( 125 \mathrm{m} \) deep. The velocity of sound is:
A. \( 350 \mathrm{cm} / \mathrm{s} \)
B. \( 125 \mathrm{m} / \mathrm{s} \)
\( \mathbf{c} \cdot 392 \mathrm{cm} / \mathrm{s} \)
D. \( 0 \mathrm{cm} / \mathrm{s} \)
Subject: Physics
A charge particle having mass \( \mathrm{m} \) and charge \( +\boldsymbol{q}, \) given a velocity \( \overrightarrow{\boldsymbol{V}}_{0}=\mathbf{2} \overline{\boldsymbol{i}}+ \)
\( 4 j m / s \) in a region where electric field
and magnetic field exists. Magnetic field in the region is \( \vec{B}=6 \bar{i}-8 \bar{j} \) (Tesla). It is observed of charged particle remains constant. Electric field in the region is:
A. \( 50 N / C \)
в. \( 40 N / C \)
c. \( 30 N / C \)
D. \( 60 N / C \)
Subject: Physics
Figure below shows a portion of an electric circuit with the currents in
ampere and their directions. The
magnitude and direction of the current
in the portion \( \boldsymbol{P} \boldsymbol{Q} \) is:
\( A \cdot 0 A \)
B. \( 3 A \) from \( P \) to \( Q \)
\( c .4 A \) from \( Q \) to \( P \)
D. \( 6 A \) from \( Q \) to \( P \)
Subject: Chemistry
a. Complete the table
A
n Atoms \( \begin{array}{ll}\text { Atomic } & \text { Electronic } \\ \text { Number } & \text { Distribution }\end{array} \)
11
12 \( \mathrm{Mg} \) 1
2,8,7
b. Draw the structure of \( H_{2} O \) and \( N H_{3} \)
molecules.
Subject: Physics
A particle moves in the \( x-y \) plane under the action of a force \( \vec{F} \) such that the value of its linear momentum \( (\vec{P}) \) at
anytime \( t \) is \( P_{x}=2 \cos t, P_{y}=2 \sin t \)
The angle \( \theta \) between \( \vec{F} \) and \( \vec{P} \) at a
given time \( t \) will be
\( \mathbf{A} \cdot \theta=0^{\circ} \)
B . \( \theta=30 \)
c. \( \theta=90 \)
D. \( \theta=180^{\circ} \)
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be a continuous function such that \( \boldsymbol{f}(\boldsymbol{x})-\mathbf{2} \boldsymbol{f}\left(\frac{\boldsymbol{x}}{\mathbf{2}}\right)+\boldsymbol{f}\left(\frac{\boldsymbol{x}}{\mathbf{4}}\right)=\boldsymbol{x}^{\mathbf{2}} \)
The equation \( f(x)-x-f(0)=0 \) have
exactly:
A. no solution
B. one solution
c. two solutions
D. Infinite solutions
Subject: Physics
A rod of mass \( m \) and length \( L \), lying horizontally, is free to rotate about a vertical axis through its centre. \( A \) horizontal force of constant magnitude \( F \) acts on the rod at a distance of \( L / 4 \) from the centre. The force is always perpendicular to the rod. Find the angle rotated by the rod during the time \( t \) after the motion starts.
Subject: Chemistry
The correct order of reativity of PhMg Br towards given compounds. \( P h-\stackrel{0}{C}-P h \quad C H_{3}-\stackrel{0}{C}-H C H_{3}- \)
\( \stackrel{0}{N}-C H_{3} \)
(1)
(11)
A \( \cdot(I)>(I I)>(I I I) \)
B. \( (I I I)>(I I)>(I) \)
c. \( (I I)>(I I I)>(I) \)
D. \( (I)>(I I I)>(I I) \)
Subject: Physics
The density of air at NTP is
\( 1.293 k g m^{-3} \) and density of mercury at
\( \mathbf{0}^{\circ} \boldsymbol{C} \) is \( \mathbf{1 3 . 6} \times \mathbf{1 0}^{\mathbf{3}} \mathbf{k g m}^{-\mathbf{3}} . \) If \( \boldsymbol{C}_{\boldsymbol{p}}= \)
\( 0.2417 \mathrm{calkg}^{-10} \mathrm{C}^{-1} \) and \( C_{v}=0.1715 \)
the speed of sound in air at \( 100^{\circ} \mathrm{C} \) will
be \( \left(\boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{N} \boldsymbol{k} \boldsymbol{g}^{-1}\right) \)
A \( .260 m s^{-1} \)
B . \( 332 \mathrm{ms}^{-1} \)
c. \( 350.2 \mathrm{ms}^{-1} \)
D. \( 369.4 \mathrm{ms}^{-1} \)
Subject: Chemistry
The volume \( (V) \) of nucleus of an atom is expressed in terms of mass no. \( (A) \) of
atom as:
\( A \cdot V \propto A \)
В. \( V \propto A^{1 / 3} \)
c. \( V \propto A^{2} \)
D. \( V \propto A^{3} \)
Subject: Physics
The sensitivity of a voltmeter of 1000 ohms is \( 1 \mathrm{mV} / \) div When a resistance of
\( 99,000 \Omega \) is connected in series, its sensitivity becomes:
A. 1 Volt / div
B. 10 Volt / div
c. 1.1 volt / div
D. 0.1 volt / div
Subject: Chemistry
Q Type your question-
reaction:
\( 4 C O(g)+8 H_{2}(g) \longrightarrow 3 C H_{4}(g)+ \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
Given that
\( \boldsymbol{C}(\text {graphite})+\mathbf{1} / \mathbf{2 O}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{C O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H} / \boldsymbol{k} \boldsymbol{J}=-110.5 \boldsymbol{k} \boldsymbol{J} \)
\( \boldsymbol{C O}(\boldsymbol{g})+\mathbf{1} / \mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H} / \boldsymbol{k} \boldsymbol{J}=-\boldsymbol{2} \boldsymbol{8} \boldsymbol{2} . \boldsymbol{9} \boldsymbol{k} \boldsymbol{J} \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\mathbf{1} / 2 \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(l) ; \boldsymbol{\Delta} \boldsymbol{H} / \boldsymbol{k} \boldsymbol{J}=-\boldsymbol{2} \boldsymbol{8} \boldsymbol{5} . \boldsymbol{8} \boldsymbol{k} \boldsymbol{J} \)
\( \boldsymbol{C}(\boldsymbol{g} \boldsymbol{r} \boldsymbol{a} \boldsymbol{p} \boldsymbol{h} \boldsymbol{i} \boldsymbol{e})+\boldsymbol{2} \boldsymbol{H}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{C H}_{4}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H} / \boldsymbol{k} \boldsymbol{J}=-\mathbf{7 4 . 8 k J} \)
A \( .584 .9 \mathrm{kJ} \mathrm{mol}^{-1} \)
в. \( 279.8 \mathrm{kJ} \mathrm{mol}^{-1} \)
c. \( 747.4 \mathrm{kJ} \mathrm{mol}^{-1} \)
D. 925 kJ mol \( ^{-1} \)
Subject: Chemistry
A sample of calcium carbonate \( \left(C a C O_{3}\right) \) has the following percentage composition:
\( \mathrm{Ca}=40 \% ; \mathrm{C}=12 \% ; \mathrm{O}=48 \% \)
If the law of constant proportions is
true, then the weight of calcium in 4 g of a sample of calcium carbonate from another source will be:
A. \( 0.016 \mathrm{g} \)
B. \( 0.16 \mathrm{g} \)
\( c \cdot 1.6 g \)
D. \( 16 g \)
Subject: Maths
\( \sqrt{x^{2}+2 x+5} d x \) is equal to
\( \mathbf{A} \cdot(x+1) \sqrt{x^{2}+2 x+5}+\frac{1}{2} \log |x+1+\sqrt{x^{2}+2 x+5}|+C \)
В . \( (x+1) \sqrt{x^{2}+2 x+5}+2 \log |x+1+\sqrt{x^{2}+2 x+5}|+C \)
c. \( (x+1) \sqrt{x^{2}+2 x+5-2} \log |x+1+\sqrt{x^{2}+2 x+5}|+C \)
D \( \cdot \frac{1}{2}(x+1) \sqrt{x^{2}+2 x+5}+2 \log |x+1+\sqrt{x^{2}+2 x+5}|+ \)
Subject: Maths
If \( \boldsymbol{A} * \boldsymbol{B}=\boldsymbol{A} \cap \boldsymbol{B} \) on \( \boldsymbol{P}(\boldsymbol{X}), \) then identify
for \( * \) is \( _{-}--_{-}---(X \neq \phi) \)
\( A \cdot \phi \)
B. \( X \)
\( c \cdot U \)
D.
Subject: Maths
Pipe M and N running together can fill a cistern in 6 minutes. If \( \mathrm{M} \) takes 5
minutes less than \( \mathrm{N} \) to fill the cistern,
then the time in which \( \mathrm{N} \) alone can fill
the cistern will be
A . 15 min
B. 20 min
\( c .25 \) min
D. 10 min
Subject: Maths
Two series of a question booklet for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series??
\( \mathbf{A} \cdot 2 \times^{12} C_{6} \times(6 !)^{2} \)
B. 6! x 6!
c. \( 7 ! \times 7 ! \)
D. \( 2 \times 6 ! \)
Subject: Physics
The ratio of the magnetic field at the centre of a current carrying circular wire and the magnetic field at the centre of a square coil made from the same length of wire is
A \( \cdot \frac{\pi}{2 \sqrt{2}} \)
в. \( \frac{\pi}{4 \sqrt{2}} \)
c. \( \frac{\pi^{2}}{4 \sqrt{2}} \)
D. \( \frac{\pi^{2}}{8 \sqrt{2}} \)
Subject: Physics
Three containers are used in a
chemistry lab. All containers have the same bottom area and the same height. A chemistry student fills each of the containers with the same liquid to the maximum volume. Which of the
following is true about the pressure on the bottom in each container?
A \( . P_{1}=P_{2}=P_{3} \)
в. \( P_{1}>P_{2}>P_{3} \)
c. \( P_{1}<P_{2}=P_{3} \)
D. \( P_{1}<P_{2}>P_{3} \)
Subject: Chemistry
\( \ln \) a fuel cell \( H_{2} \) and \( O_{2} \) react to
produce electricity. In the process \( \boldsymbol{H}_{2} \)
gas is oxidized at anode and \( O_{2} \) at
cathode. If 67.2 litre of \( H_{2} \) at STP reacts
in 15 minutes. The average current
produced is:
\( A \cdot 643.33 \mathrm{A} \)
B. 642.33 А
c. \( 682.33 \mathrm{A} \)
D. None of the above
Subject: Physics
The kinetic energy of an electron, which is accelerated in the potential
difference of \( 100 V, \) is
A . \( 1.6 \times 10^{-10} \mathrm{J} \)
в. \( 1.6 \times 10^{8} \mathrm{J} \)
c. \( 1.6 \times 10^{-17} J \)
D. \( 1.6 \times 10^{-18} \mathrm{J} \)
Subject: Chemistry
The gases which are absorbed by alkaline pyrogallol and carbon tetrachloride are
respectively
A. \( O_{3}, C H_{4} \)
в. \( O_{2}, O_{3} \)
\( \mathrm{c} \cdot \mathrm{SO}_{2}, \mathrm{CH}_{4} \)
D. \( N_{2} O_{4}, O_{3} \)
Subject: Physics
Assuming that the earth's orbit round
the sun be circular, find the linear
velocity of its motion and the period of revolution about the sun. Given \( G= \)
\( 6.67 \times 10^{-11} \) S.I. units, mass of the
\( \operatorname{sun}=1.99 \times 10^{30} k g, \) mean distance
between the sun and the earth \( = \)
\( 1.497 \times 10^{-11} m \)
Subject: Chemistry
if for the heterogeneous equilibrium
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) ; \mathbf{K}=1 \) at
atm, the temperature is given by:
A \( \cdot T=\frac{\Delta S^{0}}{\Delta H^{0}} \)
В \( \cdot T=\frac{\Delta H^{0}}{\Delta S^{0}} \)
\( \mathbf{c} \cdot T=\frac{\Delta G^{0}}{R^{0}} \)
D \( \cdot T=\frac{\Delta G^{0}}{\Delta H^{0}} \)
Subject: Physics
In the circuit shown below, \( V_{A} \) and \( V_{B} \)
are the potentials at \( A \) and \( B, R \) is the
equivalent resistance between A and B,
\( S_{1} \) and \( S_{2} \) are switches, and the diodes
are idea
This question has multiple correct options
\( \mathbf{A} \cdot \) if \( V_{A}>V_{B}, S_{1} \) is open and \( S_{2} \) is closed then \( R=8 \Omega \)
B. if \( V_{A}>V_{B}, S_{1} \) is closed and \( S_{2} \) is open then \( R=12.5 \Omega \)
C. if \( V_{A}>V_{B}, S_{1} \) is open and \( S_{2} \) is closed then \( R=12.5 \Omega \)
D. if \( V_{A}>V_{B}, S_{1} \) is closed and \( S_{2} \) is open then \( R=8 \Omega \)
Subject: Chemistry
An electron, practically at rest, is initially accelerated through a potential difference of 100 volts. It then has a de
Broglie wavelength \( =\lambda_{1} A . \) It then get
retarded through 19 volts and then has
a wavelength \( \lambda_{2} \). A further retardation
through 32 volts changes the wavelength to \( \lambda_{3} A, \) what is \( \frac{\lambda_{3}-\lambda_{1}}{\lambda_{1}} ? \)
Subject: Maths
\( A \) box \( ^{\prime} A^{\prime} \) contains 2 white, 3 red and 2
black balls. Another box ' \( B^{\prime} \) contains 4
white, 2 red and 3 black balls. If two
balls are drawn at random, without
replacement, from a randomly selected box and one ball turns out to be white
while the other ball turns out to be red,
then the probability that both balls are
drawn from box' \( B^{\prime} \) is
A \( \cdot \frac{7}{16} \)
в. \( \frac{9}{32} \)
\( c \cdot \frac{7}{8} \)
D. \( \frac{9}{16} \)
Subject: Maths
The matrix \( \left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \) is the matrix reflection in the line
\( \mathbf{A} \cdot x=1 \)
B . \( x+y=1 \)
c. \( y=1 \)
D. \( x=y \)
Subject: Chemistry
Two elements \( X \) and \( Y \) have the
following electronic configurations \( X=1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} \) and \( Y= \)
\( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} . \) The formula of the
compound formed by the combination of \( X \) and \( Y \) is :
A \( . X Y_{2} \)
B . \( X_{5} Y_{2} \)
c. \( X_{2} Y_{5} \)
D. \( X Y_{5} \)
Subject: Chemistry
Assertion
All the stoichiometric calculations are
based on law of conservation of mass.
Reason

In redox reactions, both oxidation and
reduction takes place simultaneously.
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
The binding energies of the nuclei \( A \) and
B are \( E_{a} \) and \( E_{b} \) respectively. Three nuclei of the element B fuse to give one nucleus of element A and an energy Q is
released. Then, \( E_{a}, E_{b}, Q \) are related as :
A \( \cdot E_{a}-3 E_{b},=Q \)
в. \( 3 E_{b}-E_{a},=Q \)
c. \( E_{a}+3 E_{b},=Q \)
\( \mathbf{D} \cdot E_{b}+3 E_{a},=Q \)
Subject: Maths
\( \begin{array}{ll}\text { List I } & \text { List II } \\ \text { 1) d.c's of } x-\text { axis } & \text { a) }(1,1,1) \\ \text { 2) d.c's of } y-\text { axis } & \text { b) } \\ \text { 3) d.c's of } z-\text { axis } & \left(\frac{1}{\sqrt{3}} \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right) \\ \begin{array}{l}\text { 4) d.c's of a line makes equal } \\ \text { angles with axes }\end{array} & \text { c) }(1,0,0) \\ \begin{array}{l}\text { d) }(0,1,0) \\ \text { e) }(0,0,1)\end{array}\end{array} \) The correct order for 1,2,3,4 is
\( \mathbf{A} \cdot c, d, e, b \)
B. \( a, b, c, e \)
\( \mathbf{C} \cdot c, d, a, b \)
D. \( b, c, a, e \)
Subject: Chemistry
What is true for \( \left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{3-} \) and
\( \left[\boldsymbol{F e} \boldsymbol{F}_{6}\right]^{3-}: \)
A. Both are paramagnetic.
B. Only [Fe \( \left.(C N)_{6}\right]^{3-} \) is paramagnetic
C. only \( \left[F e F_{6}\right]^{-3} \) is paramagnetic
D. Both are diamagnetic
Subject: Physics
Consider a two slit interference
arrangements such that the distance of
the screen from the slits is half the
distance between the slits. Obtain the
value of \( \mathrm{D} \) in terms of \( \lambda \) such that the
first minima on the screen falls at a
distance D from the centre 0
\( A \cdot \frac{\lambda}{2.472} \)
в. \( \frac{\lambda}{2.236} \)
c. \( \frac{\lambda}{1.227} \)
D. \( \frac{\lambda}{3412} \)
Subject: Maths
\( x^{2}-\frac{k}{2} x=2 p \)
In the quadratic equation above, \( k \) and \( p \) are constants. What are the solutions
for \( x ? \)
A \( x=\frac{k}{4} \pm \frac{\sqrt{k^{2}+2 p}}{4} \)
B. \( x=\frac{k}{4} \pm \frac{\sqrt{k^{2}+32 p}}{4} \)
c. \( _{x}=\frac{k}{2} \pm \frac{\sqrt{k^{2}+2 p}}{2} \)
D. \( x=\frac{k}{2} \pm \frac{\sqrt{k^{2}+32 p}}{4} \)
Subject: Physics
A block of mass 2 kg rests on a rough
inclined plane making an angle of \( 30^{\circ} \)
with the horizontal. The coefficient of
static friction between the block and
the plane is \( 0.7 . \) The frictional force on
the block is
\( \mathbf{A} \cdot 9.8 N \)
в. \( 0.7 \times 9.8 \times \sqrt{3} N \)
c. \( 9.8 \times \sqrt{3} N \)
D. \( 0.7 \times 9.8 N \)
Subject: Chemistry
Assertion
MeMgBr should be prepared under
perfectly anhydrous conditions.
Reason
Grignard reagent reacts with water
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 are correct
Subject: Chemistry
A reaction system in equilibrium
according to the equation \( 2 S O_{2}+ \)
\( O_{2} \rightleftharpoons 2 S O_{3} \) in 1 litre reaction vessel at
a given temperature was found to
contain 0.11 mol of \( S O_{2}, 0.12 \) of \( S O_{3} \) and
0.05 mol of \( O_{2 .} \) Another 1 litre reaction
vessel contains 64 g of \( S O_{2} \) at the
same temperature. What mass of \( \boldsymbol{O}_{2} \)
must be added to this vessel in order
that at equilibrium half of \( S O_{2} \) is
oxidised to \( \boldsymbol{S O}_{3} \) ?
A. 9.34 g
в. 10.87
c. \( 21.3 \mathrm{g} \)
D. 32.4 g
Subject: Chemistry
\( X e O F_{4} \) contains:
A. six electron pairs forming an octahedron with two positions occupied by lone pairs
B. two \( \pi \) -bonds and the remaining six electron pairs forming an octahedron
C. three \( \pi \) -bonds and the remaining four electron pairs forming a tetrahedron
D. one \( \pi \) -bonds and the remaining six electron pairs forming an octahedron with one position occupied by \( a \)
lone pair
Subject: Chemistry
Assertion
Hydroquinone is used as a developer for developing black and white photographic film.
Reason
Hydroquinone reduces silver bromide to
black silver particles and an inverted
image of the object is produced on a celluloid film.
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
At \( t=0, \) a transverse wave pulse in wire is described by the function; \( \boldsymbol{y}=\frac{\boldsymbol{6}}{\boldsymbol{x}^{2}+\boldsymbol{3}} \)
Where \( x \) and \( y \) are in meters. Write the function \( y(x, t) \) that describes this wave if it travelling in the positive \( x \) -direction with a speed of \( 4.50 \mathrm{m} / \mathrm{s} \)
A \( \cdot y=\frac{12}{\left[(x-4.5 t)^{2}+3\right]} \)
B. \( y=\frac{6}{\left[(x-4.5 t)^{2}+9\right]} \)
c. \( y=\frac{16}{\left[(x-4.5 t)^{2}+3\right]} \)
D. \( y=\frac{6}{\left[(x-4.5 t)^{2}+3\right]} \)
Subject: Maths
The area bounded by the curve \( |x|= \)
\( \cos ^{-1} y \) and the line \( |x|=1 \) and the \( x \)
axis is
A . \( \cos 1 \)
B. \( \sin 1 \)
c. \( 2 \cos 1 \)
D. \( 2 \sin 1 \)
Subject: Maths
If the curve \( y=|x-3| \) touches the parabola \( \boldsymbol{y}^{2}=\boldsymbol{\lambda}(\boldsymbol{x}-\mathbf{4}), \boldsymbol{\lambda}>\mathbf{0}, \) then
latus rectum of the parabola, is
\( A \cdot 2 \)
B. 4
\( c \cdot 8 \)
\( D \cdot 16 \)
Subject: Chemistry
Compound (A) will be:
condensation
\( \mathbf{A} \cdot P h-C \equiv C-C \equiv C-C H O \)
B \( . P h-C \equiv C-C H=C H-C H O \)
\( \mathbf{c} \cdot P h-C H=C H-C \equiv C-C H O \)
\( \mathbf{D} \cdot P h-C H=C H-C=C H-C O_{2} H \)
Subject: Chemistry
Two solutions of glucose have osmotic
pressures 1.5 and \( 2.5 a t m .1 L \) of first is
mixed with \( 2 L \) of second solution, the
osmotic pressure of the resultant solution is:
A . \( 2.5+1.5 a t m \)
B. 2.5 - 1.5atm
c. \( \frac{2.5+1.5}{2} \) at
D. \( 2.16 a t m \)
Subject: Physics
A vessel contains a gas under a pressure of \( 5 \times 10^{5} \) pa. If \( \frac{3}{5} \) of the mass of the gas is
flown out,What will be the gas pressure if
the temperature being maintained constant.
A. 50 MPa
B. 2MPa
c. о.२мРа
D. 0.5MPa
Subject: Physics
Assertion
\( (A): \) Microwaves are better carries of signals than optical waves Reason \( (\boldsymbol{R}): \) Microwaves move faster than optical waves
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
Subject: Maths
Consider a rigid square \( A B C D \) as in
the figure with \( A \) and \( B \) on the \( x \) and \( y \)
axis respectively. When \( A \) and \( B \) slide
along their respective axes, the locus of
\( C \) forms a part of
A. A circle
B. A parabola
C. A hyperbola
D. An ellipse which is not a circle
Subject: Physics
A body starts from rest with uniform acceleration and acquires a velocity \( \boldsymbol{v} \)
in time \( T . \) The instantaneous kinetic
energy of the body at time \( t \) is
proportional to:
\( \mathbf{A} \cdot(v / T) t \)
B \( \cdot\left(v^{2} / T\right) t^{2} \)
C \( \cdot\left(v^{2} / T^{2}\right) t \)
D. \( \left(v^{2} / T^{2}\right) t^{2} \)
Subject: Physics
A convex lens of focal length \( 15 \mathrm{cm} \) is placed on a plane mirror. An object is placed at \( 30 \mathrm{cm} \) from the lens. The
image will be
A. real, at \( 30 \mathrm{cm} \) in front of the mirror
B. real, at 30 cm behind the mirror
c. real, at \( 10 \mathrm{cm} \) in front of the mirror
D. virtual, at 10 cm behind the mirror