AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Chord \( A B \) of the circle \( x^{2}+y^{2}=100 \)
passes through the point (7,1) and
subtends an angle of \( 60^{\circ} \) at the
circumference of the circle. If \( m_{1} \) and
\( m_{2} \) are the slopes of two such chords
then the value of \( m_{1} m_{2}, \) is
A . -1
B. 1
c. \( \frac{7}{12} \)
D. - 3
Subject: Chemistry
Lowering in vapour pressure is highest for:
A. \( 0.2 \mathrm{m} \) urea
B. 0.1 m glucose
\( \mathrm{c} \cdot 0.1 \mathrm{m} \mathrm{MgSO}_{4} \)
D. \( 0.1 \mathrm{m} \) BaCl \( _{2} \)
Subject: Physics
A vector having magnitude 30 unit
makes equal angles with each of \( \boldsymbol{x}, \boldsymbol{y} \)
and \( z \) axes. The component along each
of \( x, y \) and \( z \) -axis are
A \( \cdot 10 \sqrt{3} \)
is
в. \( 20 \sqrt{3} \)
c. \( 30 \sqrt{3} \)
is
D. \( 18 \sqrt{3} \)
Subject: Maths
The coefficient of \( x^{18} \) in the expansion of
\( (1+x)(1-x)^{10}\left\{\left(1+x+x^{2}\right)^{9}\right\} \) is?
\( \mathbf{A} \cdot 84 \)
в. 126
\( c \cdot-42 \)
D. 42
Subject: Chemistry
In an experiment, 4 g of \( M_{2} O_{x} \) oxide
was reduced to \( 2.8 g \) of the metal. If the
atomic mass of the metal is \( 56 g m o l^{-1} \)
The number of \( O- \) atoms in the oxide is:
A . 1
в. \( \frac{48}{16} \)
c. \( \frac{58}{32} \)
D. 4
Subject: Chemistry
The inversion temperature \( \boldsymbol{T}_{\boldsymbol{i}}(\boldsymbol{K}) \) of
hydrogen is:
[Given: Van der Waal's constants a and b
\( \operatorname{are} 0.244 \operatorname{atm} L^{2} m o l^{-2} \) and
\( \left.0.027 L m o l^{-1} \text {respectively }\right] \)
A \( \cdot 440 \)
в. 220
c. 110
D. 330
Subject: Physics
A rod \( 1.5 m \) longis placed along the
principal axis of a convex mirror of focal length \( 60 \mathrm{cm} \). The near and of the rod is
1 \( m \) from the pole of the convex mirror.
The length of the image of the rod is
\( \mathbf{A} \cdot 15 \mathrm{cm} \)
B . \( 14.44 \mathrm{cm} \)
\( c \cdot 6.62 c m \)
D. \( 10.88 \mathrm{cm} \)
Subject: Chemistry
Which of the following is not
isostructural with \( S i C l_{4} ? \)
\( \mathbf{A} \cdot P O_{4}^{3-} \)
B. \( N H_{4}^{+} \)
\( c \cdot s C l \)
\( \mathbf{D} \cdot S O_{4}^{2-} \)
Subject: Chemistry
Assertion:
\( \bar{M}_{n} \) value is always greater than \( \bar{M}_{w} \) value for synthetic polymers.
Reason:
The mass average molecular weight of the polymer is equal to \( \bar{M}_{w} \)
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
An acid base indicator has \( \boldsymbol{K} \boldsymbol{a}= \)
\( 3 x 10^{-5} \) The acid form of indicator is red
and the basic form of indicator is blue.
By how much must the pH change in order to change the indicator from \( 75 \% \) red to 75\% blue?
A \( \cdot 7.91 \times 10^{-5} \)
B. 0.95
c. \( 5 x 10^{23} \)
D.
Subject: Chemistry
Which of the following are correct about
Langmuir adsorption isotherm at a very
high pressure?
This question has multiple correct options
A. It is valid for chemisorption.
B. \( \frac{x}{m}=\frac{a}{b} \)
\( ^{\mathbf{C}} \cdot \ln \frac{x}{m}=\frac{\Delta S^{\circ}}{R}-\frac{\Delta H^{\circ}}{R T} \)
D. At very high pressure, rate of adsorption \( > \) rate of desorption.
Subject: Maths
Consider the function \( \boldsymbol{f}(\boldsymbol{x}) \) which satisfying the functional equation:
\( 2 f(x)+f(1-x)=x^{2}+1, \forall x \in R \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{3} \boldsymbol{f}(\boldsymbol{x})+1 \)
The range of \( \phi(x)=g(x)+\frac{1}{g(x)+1} \) is
\( A \cdot[2, \infty) \)
B. \( [1, \infty) \)
\( c \cdot[-1, \infty) \)
D. \( R^{+} \)
Subject: Physics
A wheel having a diameter of 3 m starts
from rest and accelerates uniformly to an angular velocity of 210 r.p.m. in 5 seconds. Angular acceleration of the wheel is:
A. 4.4 rad \( s^{-2} \)
B. 3.3 rad \( s^{-2} \)
c. 2.2 rad \( s^{-2} \)
D. 1.1 rad \( s^{-2} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\ddot{\boldsymbol{S}}-\boldsymbol{C H}_{2}-\boldsymbol{B r} \stackrel{\boldsymbol{H O H}}{\longrightarrow} \)
\( [\boldsymbol{X}] \)
In the given reaction, \( [\boldsymbol{X}] \) is:
A \( \cdot C H_{3}-C H_{2}-S-C H_{2}-O H \)
B. \( C H_{3}-C H_{2}-S-C H_{2}-C H_{2}-O H \)
c. 1: 1 mixture of \( (A) \) and \( (B) \)
D. 2: 1 mixture of (A) and (B)
Subject: Physics
A current of \( 10 A \) is flowing in a
equilateral triangle of side length \( \ell= \)
\( 1 m \) as shown in figure. The magnetic
field at centre of triangle is :
A \( \cdot 8 \times 10^{-6} T \)
В. \( 9 \times 10^{-5} T \)
c. \( 9 \times 10^{-6} T \)
D. \( 10^{-5} T \)
Subject: Maths
If \( \sqrt{5-12 i}+\sqrt{-5-12 i}=z, \) then
principal value of arg z can be This question has multiple correct options
A \( \cdot-\frac{\pi}{4} \)
в. \( \frac{\pi}{4} \)
c. \( \frac{3 \pi}{4} \)
D. \( -\frac{3 \pi}{4} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\{1,2,3\}, B=\{4,5,6,7\} \) and
let \( \boldsymbol{f}=\{(1,4),(2,5),(3,6)\} \) be a
function from \( A \) to \( B \). State whether \( f \) is
one-one.
Subject: Chemistry
On heating \( K C l O_{3} \) at a certain temperature, it is observed that one
mole of \( K C l O_{3} \) yields one mole of \( O_{2} \)
What is the mole fraction of \( K C l O_{4} \) in the final solid mixture containing only
\( K C l \) and \( K C l O_{4}, \) the latter being
formed by the parallel reaction?
A . 0.50
B. 0.25
c. 0.75
D. 0.67
Subject: Biology
In the diagram given above some of algae have been labelled as \( A \),' \( B \) ', 'C' D', and 'E'. These algae are respectively identified as
A. Dictyota, Polysiphonia, Porphyra, Fucus and Laminaria
B. Porphyra, Dictyota, Laminaria, Fucus and Polysiphonia
c. Dictyota, Polysiphonia, Porphyra, Laminaria and Fucus
D. Fucus, Porphyra, Dictyota, Polysiphonia and Laminaria
Subject: Physics
A metal rod \( A \) of \( 25 \mathrm{cm} \) length expands by \( 0.050 \mathrm{cm} \) when its temperature is raised from \( 0^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \). Another rod
B of a different metal of length \( 40 \mathrm{cm} \) expands by \( 0.040 \mathrm{cm} \) for the same rise in temperature. A third rod C of 50 cm
length is made up of pieces of rods \( A \) and B placed end to end expands by
\( 0.03 \mathrm{cm} \) on heating from \( 0^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \)
Find the lengths of each portion of the composite rod.
Subject: Maths
If the arithmetic mean of n numbers of
a series is \( \bar{x} \) and the sum of the first \( (n- \)
1) numbers is \( k \), then the nth number is
\( A \cdot n+k \)
B . \( n \bar{x}+k \)
c. \( n \bar{x}-k \)
D. n-k
Subject: Physics
\( P \) and \( Q \) are fixed points at the end of \( a \)
string. A transverse stationary wave of constant maximum amplitude is formed on the string.
\( P, R \) and \( Q \) are the only points on the
string where nodes are formed. S and T are two points on the string at a distance x from R.
What is the relationship between points s and T?
A. The same amplitude and in phase
B. Different amplitudes and in phase
C. The same amplitude and a phase difference of 180
D. Different amplitudes and a phase difference of 180
Subject: Physics
An \( L-C-R \) series circuit with \( L= \)
\( \mathbf{0 . 1 2 0 H}, \boldsymbol{R}=\mathbf{2 4 0 \Omega}, \) and \( \boldsymbol{C}=\mathbf{7 . 3 0 \mu} \boldsymbol{F} \)
carries an rms current of \( 0.450 A \) with a
frequency of \( 400 H z . \) What is the impedance of the circuit?
Subject: Chemistry
On rusting of iron it completely converts in \( F e_{2} O_{3} . \) If a sample of pure gains \( 10 \% \) in weight due to partial rusting. Calculate the fraction of iron rusted.
A \( .5 / 30 \)
в. \( 8 / 30 \)
c. \( 7 / 30 \)
D. \( 9 / 30 \)
Subject: Physics
The aperture diameter of a telescope is
5 \( m \). The separation between the moon and the earth is \( 4 \times 10^{5} \mathrm{km} . \) With light of wavelength of \( 5500 A \), the minimum separation between objects on the surface of moon, so that they are just
resolved, is close to?
A. \( 60 \mathrm{m} \)
в. 20
c. 600 m
D. 200 m
Subject: Chemistry
The standard cell potential for \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \) is \( 1.10 V . \) When the
cell is completely discharged, \( \log \left[Z n^{2+}\right] /\left[C u^{2+}\right] \) is closest to:
A. 37.3
B. 0.026
c. 18.7
D. 0.052
Subject: Chemistry
An acidic solution of \( C u^{2+} \) salts
containing \( 0.4 \mathrm{g} \) of \( C u^{2+} \) is electrolyzed until all the copper is deposited. The electrolysis is continued for seven more
minutes with the volume of solution
kept at \( 100 \mathrm{mL} \) and the current at \( 1.2 \mathrm{A} \) The volume (in \( \mathrm{mL} \) ) of gases evolved at STP during the entire electrolysis is :
(write your answer to nearest integer)
Subject: Chemistry
Which of the following reaction \( (s) \)
involves oxidation reduction reaction?
\( A \)
B.
\( \mathrm{c} \cdot_{\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{CH}+\mathrm{Hg} \mathrm{SO}_{4}} \stackrel{\mathrm{H}_{2} \mathrm{SO}_{4}}{\longrightarrow} \mathrm{CH}_{3}-\mathrm{C}-\mathrm{CH}_{3} \)
D.
Subject: Physics
Two particle \( A \) and \( B \) are located in \( x-y \) plane at points (0,0) and \( (0,4 \mathrm{m}) \). They simultaneously start moving with velocities. \( \vec{V}_{A}=2 \hat{j} m / s \) and \( \vec{V}_{B}= \)
2 ì \( m / s . \) Select the correct alternative(s).
This question has multiple correct options
A. The distance between them is constant
B. The distance between them first decreases and then increases
c. The shortest distance between them is \( 2 \sqrt{2} m \)
D. Time after which they are at minimum distance is 1 s
Subject: Maths
Find the sum to infinite terms of the
series \( \frac{7}{5}\left(1+\frac{1}{10^{2}}+\frac{1.3}{1.2} \cdot \frac{1}{10^{4}}+\frac{1.3 .5}{1.2 .3} \cdot \frac{1}{10^{6}}+\right. \)
Subject: Physics
Figure shows the orbit of a planet \( \mathrm{P} \)
round the sun \( S . A B \) and \( C D \) are the
minor and major axes of the ellipse. If \( t_{1} \)
is the time taken by the planet to travel
along \( A C B \) and \( t_{2} \) the time along \( B D A \)
then:
A \( \cdot t_{1}=t_{2} \)
B \( \cdot t_{1}>t_{2} \)
\( \mathbf{c} \cdot t_{1}<t_{2} \)
D. nothing can be concluded
Subject: Physics
A water drop of radius 1 m \( m \) is sprayed
into \( 10^{6} \) droplets of same size at
constant temperature. If surface
tension of water is \( 72 \times 10^{-3} N / m \)
then the work done is
A \( .8 .95 \times 10^{-5} \) ergs
B. \( 8.95 \times 10^{-5} \mathrm{J} \)
c. \( 17.9 \times 10^{-5} \mathrm{J} \)
D. \( 17.9 \times 10^{-5} \) ergs
Subject: Biology
As shown in the image, a series of enzymes catalyze the conversion of Molecule A to Molecule C. Molecule C
functions as a co-repressor for the operon controlling production of
Enzyme A. Which of the following scenarios would most likely result from the introduction
of a large amount of Molecule C?
A. concentration of Enzyme A will decrease.
B. Concentration of Molecule A will decrease
c. concentration of Molecule B will increase
D. concentration of Enzyme B will increase.
Subject: Maths
In the xy-plane, the point of intersection of the lines \( x-7 y=25 \) and \( 7 x+ \)
\( 49 y=31 \) is given by
A \( \cdot(0,-3) \)
в. (4,3)
c. (-3,4)
D. \( \left(\frac{103}{7}, \frac{-72}{49}\right) \)
Subject: Chemistry
Which among the following is an example of heterogeneous equilibrium?
A \( \cdot 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons 2 S O_{3}(g) \)
в. \( _{N_{2}} O_{4}(g) \stackrel{人}{\rightleftharpoons} 2 N O_{2}(g) \)
c. \( \operatorname{CaCO}_{3}(s) \triangleq \) 垃 \( a O(s)+C O_{2}(g) \)
D \( \cdot \operatorname{PCl}_{5}(g) \triangleq \operatorname{PCl}_{3}(g)+C l_{2}(g) \)
Subject: Chemistry
Match List I and List II.
List I
A. Americium
1. Lanthanide
B. Lanthanum
2. Transition metal
C. Promethium
3. Actinide
D. Technician
4. Synthetic element
5. Radioactive element
B. \( A-3,5 ; B-4 ; C-5 ; D-2 \)
c. \( A-5 ; B-1,3 ; C-2,3 ; D-4 \)
D. A - 2,5; B - 2; C - 1,5; D - -
Subject: Chemistry
The mass of carbon anode consumed
(giving of carbon dioxide) in the production of \( 270 \mathrm{kg} \) aluminium metal bum bauxite by Hall process is: (Atomic
\( \operatorname{mass} A l=27) \)
A. \( 180 \mathrm{kg} \)
в. \( 270 \mathrm{kg} \)
c. \( 540 \mathrm{kg} \)
D. \( 90 \mathrm{kg} \)
Subject: Chemistry
Boron exists in two isotopic form \( B^{10} \)
and \( B^{11} . \) If average atomic weight of \( B \)
is \( 10.70 u \), select the correct statement.
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 \( B^{11} \)
De abundance of \( B^{10}=\frac{\% \text { abundance of } B^{11}}{2} \)
Subject: Maths
\( \ln \Delta A B C, \) if \( A B>B C \) then :
\( \mathbf{A} \cdot \angle C<\angle A \)
B . \( \angle C=\angle A \)
c. \( \angle C>\angle A \)
\( \mathbf{D} \cdot \angle A=\angle B \)
Subject: Physics
The instantaneous voltage through a device of impedence \( 20 \Omega \) is \( e= \)
\( 80 \sin 100 \pi t . \) The effective value of the
current is
\( A .3 A \)
в. \( 2.828 A \)
c. \( 1.732 A \)
D. \( 4 A \)
Subject: Physics
Assertion
A normal human eye can clearly see all the objects at the different distance.
Reason

The human eye has the capacity to suitably adjust the focal length of its
lens to a certain extent
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
The correct order for homolytic blood dissociation energies \( (\Delta H \) in \( k c a l / m o l \) ) for
\( \boldsymbol{C H}_{4}(\boldsymbol{A}), \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{B}), \boldsymbol{C H}_{3} \boldsymbol{B r}(\boldsymbol{C}) \) is
\( \mathbf{A} \cdot C>B>A \)
В. \( B>C>A \)
c. \( C>A>B \)
D. \( A>B>C \)
Subject: Physics
Two conductors each of length \( 12 m \) lie
parallel to each other in air. The centre
to centre distance between the two
conductors is \( 15 \times 10^{-2} m \) and the
current in each conductor is \( 300 A \). The
force in newton tending to pull the conductors together is:
A . \( 14.4 N \)
B. \( 1.44 N \)
c. \( 144 N \)
D. \( 0.144 N \)
Subject: Physics
A point moves along a circle with a velocity \( v=a t, \) wherea \( =0.50 m / s^{2} \) Find the total acceleration of the point at the moment when it has covered the \( \boldsymbol{n}^{t h}(\boldsymbol{n}=\mathbf{0 . 1 0}) \) fraction of the circle after
beginning of the motion.
A \( \cdot 0.8 \mathrm{m} / \mathrm{s}^{2} \)
B. \( 0.3 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 0.2 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 0.50 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
Which of the following is the isotone of
\( 16^{3^{32}} ? \)
\( \mathbf{A} \cdot_{15} P^{31} \)
В \( \cdot_{7} N^{14} \)
\( \mathbf{c} \cdot_{18} A r^{40} \)
D \( \cdot_{17} C l^{34} \)
Subject: Physics
A passenger in a train moving at an acceleration 'a', drops a stone from the
window. A person, standing on the ground, by the sides of the rails, observes the ball following:
A. Vertically with acceleration \( \sqrt{g^{2}+a^{2}} \)
B. Horizontally with an acceleration \( \sqrt{g^{2}+a^{2}} \)
C. Along a parabola with acceleration \( \sqrt{g^{2}+a^{2}} \)
D. Along a parabola with acceleration 'g"
Subject: Biology
The mechanism of phosphorylation is
depicted in the diagram below. Study it
carefully and mark the correct option.
A. The diagram depicts photosynthetic phosphorylation taking place in the chloroplast. The incident light should be shown in the diagram
B. The diagram depicts oxidative phosphorylation taking place in mitochondria. However, the flow of electrons should be shown in the reverse direction
c. Diagram depicts the basic process of both oxidative as well as photosynthetic phosphorylation. However, the proton concentration should be high inside and low outside
D. The diagram correctly depicts the oxidative phosphorylation occuring in all heterotrophic isms
Subject: Maths
\( \$ \$ \text { lbegin\{array }\}\{\mid\} A=\mid \) left [ lbegin\{array \( \}[1332-4115 \& 2 \) \( \mathrm{~ l e n d \{ a r r a y \} ~ | r i g h t ] ~ | , ~ | , ~ B = | l e f t [ ~} \)
\[
\begin{array}{cc}
1 & -3 \\
5 & 8
\end{array}
\]
|right] \( \|=3 \) left Then find \( 3 A-5 B+ \)
\( 4 I \) by using matrix
Subject: Physics
Light is incident normally on a completely absorbing surface with an energy flux of \( 25 W c m^{-2} \). if the surface
has an area of \( 25 \mathrm{cm}^{-2} \), the momentum
transferred to the surface in 40 min
time duration will be :
A \( .5 .0 \times 10^{-3} \mathrm{Ns} \)
s
B . \( 3.5 \times 10^{-6} N s \)
c. \( 1.4 \times 10^{-6} N s \)
D. \( 6.3 \times 10^{-4} N s \)
Subject: Biology
Which is true about the difference
between cortical and juxtamedullary nephrons?
A. Most nephrons are juxtamedullary.
B. The efferent arteriole's of cortical nephrons give rise to most of the vasa recta
c. The aaferent arterioles of the juxtamedullary nephrons give rise to most of the vasa recta
D. Juxtamedullary nephrons generate a hyperosmotic medullary interstitium
Subject: Physics
The truth table given in figure
represents:
\begin{tabular}{|c|c|c|}
\hline \( \mathrm{A} \) & \( \mathrm{B} \) & \( \mathrm{Y} \) \\
\hline 0 & 0 & 0 \\
\hline 0 & 1 & 1 \\
\hline 1 & 0 & 1 \\
\hline 1 & 1 & 1 \\
\hline
\end{tabular}
A. AND-Gatt
B. NOR - Gate
c. NAND - Gate
DR - Gat
Subject: Maths
In a certain store, the profit is \( 320 \% \) of the cost. If the cost increases by \( 25 \% \)
but the selling price remains constant, approximately what percentage of the selling price is the profit?
A . \( 30 \% \)
B. \( 100 \% \)
\( c .70 \% \)
D. 250\%
Subject: Physics
If the charge density at each small drop
be \( \sigma, \) then charge density in the larger drop is
A \( \cdot\left[4 n^{1 / 3} \sigma\right] \)
B . \( \left[n^{1 / 3} \sigma\right] \)
c. \( \left[3 n^{1 / 3} \sigma\right] \)
D. \( \left[2 n^{1 / 3} \sigma\right] \)
Subject: Physics
A force of \( 16 \mathrm{N} \) is applied on a block of
mass \( 4 \mathrm{kg} \) with \( \mu=0.6 \) Then the force
of friction acting on the block is \( 4 K \) newton Find the value of \( K \)
\[
\mu=.6-\sqrt{4 k g} \mid \rightarrow F=16 \mathrm{N}
\]
\( A \cdot 4 \)
B. 3
\( c \cdot 6 \)
\( D \)
Subject: Physics
toppr
Q Type your question
each piston moves within a particular section. One mole of a gas enclosed
between the pistons which are tied with non-stretchable threads. The difference
in cross-sectional area of pistons
\( 10 \mathrm{cm}^{2} \) The mass of gas confined between pistons is \( 5 \mathrm{kg} \). The outside pressure is 1 atmosphere \( =10^{5} N / m^{2} \)
By how many degrees must the gas
between pistons be heated to shift the piston by \( 5 \mathrm{cm} ? \) Given \( \boldsymbol{R}=\mathbf{8 . 3} \)
A \( \cdot 0.9^{\circ} \mathrm{C} \)
В. \( 1.2^{\circ} \mathrm{C} \)
\( c \cdot 1.5^{\circ} \mathrm{C} \)
D. \( 0.5^{\circ} \mathrm{C} \)
Subject: Physics
Q Type your question
positioned al poinis 1 and \( 4, \) ine \( 11 € \) id
intensity to the right of the charge \( Q_{2} \)
on the line that passes through the two
charges varies according to a law that is represented schematically in the figure.

The field intensity is assumed to be positive if its direction coincides with
the positive direction on the \( x-a x i s \)
The distance between the charges is \( l \)
Find the sign of each charge.
A. \( Q_{2} \) is positive and \( Q_{1} \) is negative
B. \( Q_{2} \) is positive and \( Q_{1} \) is positive
\( \mathrm{C} \cdot Q_{2} \) is negative and \( Q_{1} \) is negative
D. \( Q_{2} \) is negative and \( Q_{1} \) is positive
Subject: Chemistry
The compound that neither forms semicarbazone nor oxime is:
A. \( H C H O \)
в. \( C H_{3} \)СОСН\( _{3} \)
с. \( C H_{3} C H O \)
D. \( C H_{3} C H_{2} C H_{2} N H_{2} \)
E \( \cdot\left(C H_{3}\right)_{2} C H C H O \)
Subject: Maths
In the given figure, \( \angle \theta \) is less than one-
third of a right angle, then:
A \( \cdot \phi>150^{\circ} \)
B \( \cdot \phi \geq 150^{\circ} \)
c. \( \phi \leq 150^{\circ} \)
D. \( \phi<150^{\circ} \)
Subject: Physics
The instantaneous values of alternating
current and voltages in a circuit are
given as
\( i=\frac{1}{\sqrt{2}} \sin (100 \pi t) \) ampere
\( e=\frac{1}{\sqrt{2}} \sin (100 \pi t+\pi / 3) \) volt
The average power in Watts consumed in the circuit is -
A. \( \frac{\sqrt{3}}{4} \)
в.
\( c \cdot \frac{1}{8} \)
D.
Subject: Chemistry
Which of the following is a Sandmeyer
reaction?
\( \mathbf{A} \cdot 2 C_{6} H_{5} C l \frac{C u_{2} C l_{2} / H C l}{\longrightarrow} C_{6} H_{6}+C l_{2} \)
\( \mathbf{B} \cdot C_{6} H_{5} N_{2} C l \frac{C u_{2} C l_{2} / H C l}{\longrightarrow} C_{6} H_{5} C l+N_{2} \)
\( \mathbf{c} \cdot C_{6} H_{5} O H \frac{Z n d u s t}{\longrightarrow} C_{6} H_{6}+Z n O \)
\( \mathbf{D} \cdot C_{6} H_{5} N O_{2}+6[H] \stackrel{S n / H C l}{\longrightarrow} C_{6} H_{5} N H_{2}+2 H_{2} O \)
Subject: Maths
If we add 1 to the numerator and
subtract 1 from the denominator a
fraction becomes \( 1 . \) It also becomes \( \frac{1}{2} \)
if we only add 1 to the denominator what
is the numerator of the fraction?
\( A \cdot 2 \)
B. 4
\( c \cdot 5 \)
D.
Subject: Physics
Uniform rod of mass \( m \), length \( l \), area of
cross-section \( \boldsymbol{A} \) has Young's modulus \( \boldsymbol{Y} \) If it is hanged vertically, elongation under its own weight will be :
\( ^{\text {A }} \cdot \frac{m g l}{2 A Y} \)
в. \( \frac{2 m g l}{A Y} \)
c. \( \frac{m g l}{A Y} \)
D. \( \frac{m g Y}{A l} \)
Subject: Chemistry
In which of the given pairs the two compounds are allotropes of the same
element?
\( \mathbf{A} \cdot B r_{2} \) and \( H g \)
B. \( C l_{2} \) and \( F_{2} \)
C. \( N H_{4}^{+} \) and \( H_{3} O^{+} \)
D. Fe and \( C O \)
E. Diamond and graphite
Subject: Physics
Unpolarized red light is incident on the
surface of a lake at incident angle \( \boldsymbol{\theta}_{\boldsymbol{R}} \)
An observer seeing the light reflected from the water surface through a polarizer notices that on rotating the polarizer, the intensity of light drops to
zero at a certain orientation. The red
light is replaced by unpolarized blue light. The observer sees the same effect
with reflected blue light at incident
angle \( \theta_{s} . \) Then :
A \( \cdot \theta_{B}<\theta_{R}<45^{\circ} \)
в. \( \theta_{B}=\theta_{R} \)
\( \mathbf{c} \cdot \theta_{B}>\theta_{R}>45^{\circ} \)
\( \mathbf{D} \cdot \theta_{R}>\theta_{B}>45^{\circ} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & -2 & 3 \\ -4 & 2 & 5\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{cc}1 & 3 \\ -1 & 0 \\ 2 & 4\end{array}\right], \) then show that \( (A B)^{\prime}= \)
\( \boldsymbol{B}^{\prime} \boldsymbol{A}^{\prime} \)
Subject: Physics
Two absolute scales \( A \) and \( B \) have triple points of water defined to be 200 A and \( 300 \mathrm{B} \) (given triple point of water is \( = \)
276.16 K). The relation between \( T_{A} \) and
\( T_{B} \) is
A \( \cdot T_{A}=T_{B} \)
В \( \cdot T_{B}=\frac{3}{2} T_{A} \)
c. \( _{T_{B}}=\frac{2}{3} T_{A} \)
D. \( T_{B}=\frac{3}{4} T_{A} \)
Subject: Maths
The area enclosed by the polynomial function of least degree satisfying \( \lim _{x \rightarrow 0}\left[1+\frac{f(x)}{x^{3}}\right]^{\frac{1}{x}}=e \) and the circle
\( x^{2}+y^{2}=2 \) above the \( X \) -axis is
in square units.
\( A \)
\[
\frac{3}{5}+\frac{\pi}{2}
\]
B.
\[
\frac{2}{5}-\frac{\pi}{2}
\]
c. \( \frac{2}{5}+\frac{\pi}{2} \)
D.
\[
\frac{1}{5}+\frac{\pi}{2}
\]
Subject: Chemistry
The spin magnetic moment of cobalt in
the compound \( K_{2}\left[C o(S C N)_{4}\right] \) is :
A \( \cdot \sqrt{3} \) ВМ
B. \( \sqrt{8} \) Вм
c. \( \sqrt{15} \) ВМ
D. \( \sqrt{24} \) BM
Subject: Physics
The moment of inertia of a uniform
semicircular disc of mass \( M \) and
radius \( R \) about a line perpendicular to the plane of disc and passing through the centre is :
\( ^{\mathrm{A}} \cdot \frac{M R^{4}}{4} \)
в. \( \frac{2}{5} M R^{2} \)
c. \( M R^{2} \)
D. \( \frac{M R^{2}}{2} \)