AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Given that \( 1 \mathrm{cu} . \mathrm{cm} \) of marble weights 25
gms, the weight of a marble block 28
\( \mathrm{cm} \) in width and \( 5 \mathrm{cm} \) thick is \( 112 \mathrm{kg} \) The length of the block is:
A. \( 26.5 \mathrm{cm} \)
в. 32 \( \mathrm{cm} \)
c. \( 36 \mathrm{cm} \)
D. 37.5 cm
Subject: Maths
The equation of line bisecting perpendicularly the segment joining the points (-4,6) and (8,8) is
\( \mathbf{A} \cdot y=7 \)
в. \( 6 x+y-19=0 \)
c. \( x+2 y-7=0 \)
D. \( 6 x+2 y-19=0 \)
Subject: Maths
If two numbers \( p \) and \( q \) are chosen
randomly from the set \{1,2,3,4\} with replacement, then the probability that \( p^{2} \leq 4 q \) is equal to
A \( \cdot \frac{1}{4} \)
B. \( \frac{3}{16} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{9}{16} \)
E. \( \frac{7}{16} \)
Subject: Physics
A small object is placed 5 U cm to the
left of a thin convex lens of focal length
\( 30 \mathrm{cm} . \) A convex spherical mirror of
radius of curvature \( 100 \mathrm{cm} \) is placed to
the right of the lens at a distance of
\( 50 \mathrm{cm} . \) The mirror is tilted such that the
axis of the mirror is at an angle \( \boldsymbol{\theta}=\mathbf{3 0}^{\circ} \)
to the axis of the lens, as shown in
figure. If the origin of the coordinates system is
taken to be at the centre of the lens, the
coordinates \( (\text { in } c m) \) of the point \( (x, y) \)
at which the image is formed are
\( \mathbf{A} \cdot(28 \mathrm{cm}, 38 \mathrm{cm}) \)
B . \( (125 / 3,25 / \sqrt{3}) \)
C. \( (50-25 \sqrt{3}, 25) \)
D. \( 0, \)
Subject: Physics
A copper rod of \( 88 \mathrm{cm} \) and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is :
\( \left(\alpha_{C u}=1.7 \times 10^{-5} K^{-1} \text {and } \alpha_{A l}=\right. \)
\( \left.2.2 \times 10^{-5} K^{-1}\right) \)
\( \mathbf{A} \cdot 6.8 \mathrm{cm} \)
B. \( 113.9 \mathrm{cm} \)
\( \mathbf{c} .88 \mathrm{cm} \)
D. \( 68 \mathrm{cm} \)
Subject: Chemistry
Study the figures given below and mark
the correct statement
A. (i) Nitric acid + Water;
(i) Acetone + Ethyl alcohol
B. (i) Water + Ethyl alcohol
(ii) Acetone + Benzene
C. (i) Acetone + Ethyl alcohol;
(ii) Acetone + Chloroform
D. (i) Benzene + Chloroform
(ii) Acetone + Chloroform
Subject: Maths
If vector \( \overline{O P} \) in \( X Y \) plane whose
magnitude is \( \sqrt{3} \) makes an angle \( 60^{\circ} \) with \( Y \) -axis, the length of the component of the vector in the direction of X-axis is
A .
B. \( \sqrt{3} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{3}{2} \)
Subject: Chemistry
Assertion
Aryl halides undergo nucleophilic substitution with ease.
Reason
The carbon-halogen bond in aryl halides has partial double bond character.
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
The graph represent a current-voltage behaviour of a water-voltameter. spot
the correct explanation.
A. Dissociation takes place at \( E_{1} \) and it obeys Ohm's law
thereafter.
B. Ohm's law is not valid for low voltages
C. Ohm's law is obyed but only for potential difference larger than back emf.
D. Electrolyte does not obey Ohm's law.
Subject: Physics
A man of mass \( \mathrm{m} \) speeds up while running from rest to a speed v in a straight track along an inclined plane, after rising through a height h.
\( W_{\text {gravity}}= \) work done by gravity on the
man
\( W_{\text {friction}}= \) work done by gravity on the
man
\( W_{\text {man }}= \) work done by man Which of the following options is correct regarding the various work done? This question has multiple correct options
\( \mathbf{A} \cdot W_{g r a v i t y}=-m g h \)
B. \( W_{f r i t t i o n}>0 \)
\( \mathbf{c} \cdot W_{m a n}=m g h+\frac{1}{2} m v^{2} \)
D. \( W_{f r i t i o n}=0 \)
Subject: Chemistry
Which of the following statements for the reaction, is correct?
\( N a_{2} C r O_{4}+H_{2} S O_{4} \rightarrow \)
A. It is a redox reaction in which green solution of \( \left[C r\left(H_{2} O\right)_{6}\right]^{+3} \) is produced.
B. one of the product is reaction has trigonal planar structure
c. Dimeric bridged tetrahedral metal ion is produced.
D. Dark blue color in obtained in reaction
Subject: Physics
A second pendulum clock having steel wire is calibrated at \( 20^{0} C . \) When
temperature is increased to \( 30^{0} C \), then
how much time does the clock lose or
\( \operatorname{gain} \) in one week \( ? \) \( \left[\boldsymbol{\alpha}_{\text {steel}}=\mathbf{1 . 2} \times \mathbf{1 0}^{-\mathbf{5}}\left(^{0} \boldsymbol{C}\right)^{-\mathbf{1}}\right] \)
B. \( 3.626 s \)
c. \( 362.8 s \)
D. 36.28S
Subject: Chemistry
\( \begin{array}{ll}\text { List - I } & \text { List - II } \\ \text { 1) Solid in gas } & \text { A) Brass } \\ \text { 2) Solid in solid } & \text { B) Amalgam } \\ \text { 3) Liquid in solid } & \text { C) Camphor in air } \\ \text { 4) Liquid in liquid } & \text { D) Alcohol in water }\end{array} \)
Which of the following is correct?
\( A \cdot 1-C, 2-A, 3-B, 4-D \)
B. \( 1-A, 2-C, 3-D, 4-B \)
C \( \cdot 1-C, 2-B, 3-A, 4-D \)
D. \( 1-D, 2-A, 3-B, 4-C \)
Subject: Maths
Maizah bought a pair of pants and a briefcase at a departmental store. The
sum of the prices of the pants and the briefcase before sales tax was \( \$ 130.00 \)
There was no sales tax on the pants and a \( 9 \% \) sales tax on the briefcase. The
total Maizah paid, including the sales
\( \operatorname{tax}, \) was \( \$ 136.75 . \) What was the price in
dollars, of the pants?
Subject: Chemistry
In which of the following reactions,
\( H_{2} O_{2} \) acts as oxidizing agent?
A \( \cdot A g_{2} O+H_{2} O_{2} \rightarrow 2 A g+H_{2} O+O_{2} \) moist
в. \( 2 \mathrm{NaOH}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow \mathrm{Na}_{2} \mathrm{O}_{2}+2 \mathrm{H}_{2} \mathrm{O} \)
c. \( K N O_{2}+H_{2} O_{2} \rightarrow K N O_{3}+H_{2} O \)
D. \( C l_{2}+H_{2} O_{2} \rightarrow 2 H C l+O_{2} \)
Subject: Physics
A mass \( m_{1} \) moves with a great velocity.
It strikes another mass \( m_{2} \) at rest in a
head on collision and comes back along
its path with a low speed after collision. Then :
\( \mathbf{A} \cdot m_{1}>m_{2} \)
В. \( m_{1}=m_{2} \)
\( \mathbf{c} \cdot m_{1}<m_{2} \)
D. there is relation between \( m_{1} \) and \( m_{2} \)
Subject: Chemistry
Standard entropy of \( X_{2}, Y_{2} \) and \( X Y_{3} \) are
60,40 and \( 50 J K^{-1} m o l^{-1} \) respectively. For the reaction: \( \frac{1}{2} X_{2}+\frac{3}{2} Y_{2} \rightarrow X Y_{3}, \Delta H= \)
\( -30 k J \) to be at equilibrium, the
temperature will be:
A. \( 1250 \mathrm{k} \)
B. 500 K
\( c \cdot 1000 k \)
D. \( 750 \mathrm{k} \)
Subject: Maths
A point on the curve \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\boldsymbol{x}^{2}-\boldsymbol{4}} \)
defined in [2,4] where the tangent is
parallel to the chord joining two points
on the curve
A \( \cdot(\sqrt{2}, \sqrt{6}) \)
B . \( (\sqrt{6}, \sqrt{2}) \)
C \( \cdot(2,6) \)
D \( \cdot(6,2) \)
Subject: Physics
For a prism kept in air, it is found that
for an angle of incidence \( 60^{\circ} \), the angle
of refraction \( ^{\prime} \boldsymbol{A}^{\prime}, \) angle of deviation \( ^{\prime} \boldsymbol{\delta}^{\prime} \)
and angle of emergence \( ^{\prime} e^{\prime} \) become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is
A . 1.73
в. 1.15
c. 1.5
D. 1.33
Subject: Maths
Find the domain on which the function
\( f(x)=2 x^{2}-5 \) and \( g(x)=5 x-2 \) are
equal
A \( \cdot_{3,-\frac{1}{2}} \)
в. \( -3,-\frac{1}{2} \)
c. \( _{3, \frac{1}{2}} \)
D. \( _{-3, \frac{1}{2}} \)
Subject: Maths
Consider a circle \( x^{2}+y^{2}+a x+b y+ \)
\( c=0 \) lying completely in first quadrant.
If \( \mathrm{m}_{1} \) and \( \mathrm{m}_{2} \) are the maximum and
minimum values of y/x for all ordered pairs \( (x, y) \) on the circumference of the
circle, then the value of \( \left(\boldsymbol{m}_{1}+\boldsymbol{m}_{2}\right) \) is
A \( \cdot \frac{a^{2}-4 c}{b^{2}-4 c} \)
в. \( \frac{2 a b}{b^{2}-4 c} \)
c. \( \frac{2 a b}{4 c-b^{2}} \)
D. \( \frac{2 a b}{b^{2}-4 a c} \)
Subject: Maths
Let \( f \) and \( g \) be functions satisfying
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{e}^{\boldsymbol{x}} \boldsymbol{g}(\boldsymbol{x}), \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{f}(\boldsymbol{x})+ \)
\( \boldsymbol{f}(\boldsymbol{y}), \boldsymbol{g}(\mathbf{0})=\mathbf{0}, \boldsymbol{g}^{\prime}(\mathbf{0})=\mathbf{4}, \boldsymbol{g} \) and \( \boldsymbol{g}^{\prime} \) are
continuous at 0
Then
A. \( f(x)=0 \) for all \( x \)
B. \( f(x)=x \) for all \( x \)
c. \( f(x)=x+4 \) for all \( x \)
D. \( f(x)=4 x \) for all \( x \)
Subject: Physics
For an ideal gas \( V \) -T curves at
constant pressures \( P_{1} \& P_{2} \) are shown in
figure, from the figure
A \( \cdot P_{1}>P_{2} \)
в. \( P_{1}<P_{2} \)
\( c \cdot P_{1}=P_{2} \)
D. \( P_{1} \leq P_{2} \)
Subject: Maths
Let \( k \) be a positive real number and let \( \boldsymbol{A}=\left[\begin{array}{ccc}2 \boldsymbol{k}-\mathbf{1} & \boldsymbol{2} \sqrt{\boldsymbol{k}} & \boldsymbol{2} \sqrt{\boldsymbol{k}} \\ \boldsymbol{2} \sqrt{\boldsymbol{k}} & \boldsymbol{1} & -\boldsymbol{2} \boldsymbol{k} \\ -\boldsymbol{2} \sqrt{\boldsymbol{k}} & \boldsymbol{2} \boldsymbol{k} & -\boldsymbol{1}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}0 & 2 k-1 & \sqrt{k} \\ 1-2 k & 0 & 2 \sqrt{k} \\ -\sqrt{k} & -2 \sqrt{k} & 0\end{array}\right] \)
f \( \operatorname{det}(a d j A)+\operatorname{det}(a d j B)= \)
\( \mathbf{1 0}^{\mathbf{6}}, \) then \( [\boldsymbol{k}] \) is equal to
[Note: adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to \( \mathrm{k} \) ].
\( A \)
в.
\( c . \)
\( D \)
Subject: Physics
Combine three resistors \( 5 \Omega, 4.5 \Omega \) and
\( 3 \Omega \) in such a way that the total resistance of this combination is
maximum:
A . \( 12.5 \Omega \)
B. \( 13.5 \Omega \)
c. \( 14.5 \Omega \)
D. \( 16.5 \Omega \)
Subject: Physics
A train moving with a velocity of
\( 20 m s^{-1} \) is brought to rest by applying the brakes in 5 s. Calculate the
retardation
\( \mathbf{A} \cdot 4 m s^{-2} \)
B \( \cdot 2 m s^{-2} \)
\( \mathrm{c} \cdot 1 \mathrm{ms}^{-2} \)
D. \( 8 m s^{-2} \)
Subject: Chemistry
Arrange the following in increasing energy levels:
\( A \cdot 5 p<4 d<3 p<4 f<5 d<6 s \)
\( B .3 p<4 d<5 p<6 s<4 \)
\( c \cdot 3 p<4 d<5 p<4 f<6 s \)
D. \( 3 p<4 d<5 p<4 f<6 p \)
Subject: Chemistry
Arrange the following in the decreasing order of hydrogen bonding.
\( \boldsymbol{C H}_{4}, \boldsymbol{C H}_{3}-\boldsymbol{O H}, \boldsymbol{C H}_{3}-\boldsymbol{F}, \boldsymbol{C H}_{3}- \)
\( N H_{2} \)
A \( \cdot C H_{3},-O H>C H_{3}-N H_{2}>C H_{3}-F>C H_{4} \)
в. \( C H_{3},-O H>C H_{3}-F>C H_{3}-N H_{2}>C H_{4} \)
c. \( C H_{3},-F>C H_{3}-O H>C H_{3}-N H_{2}>C H_{4} \)
D. \( C H_{4},>C H_{3}-F>C H_{3}-N H_{2}>C H_{3}-O H \)
Subject: Physics
A metallic conductor of irregular cross-
section is as shown in the figure. A
constant potential difference is applied
across the ends (1) and \( (2) . \) Then
(1)
A. the current at the cross-section \( P \) equal the current at the cross-section \( Q \)
B. the electric field intensity at \( P \) is less than that of \( Q \)
C. the rate of heat generated per unit time at \( Q \) is greater than that at \( P \)
D. the number of electrons crossing per unit area of cross-section at \( P \) is less than that at \( Q \)
Subject: Chemistry
Composition of azurite mineral is:
A \( \cdot C u C O_{3} \cdot C u O \)
в. \( C u\left(H C O_{3}\right)_{2} . C u(O H)_{2} \)
\( \mathrm{c} \cdot 2 \mathrm{Cu} \mathrm{CO}_{3} \cdot \mathrm{Cu}(\mathrm{OH})_{2} \)
D. None of these
Subject: Physics
With the help of labelled circuit diagram derive a formula to find combined resistance (R) when two or
more resistance \( \left(\boldsymbol{R}_{1}, \boldsymbol{R}_{2}, \boldsymbol{R}_{3} \ldots \ldots\right) \) are
connected in parallel taking symbols potential difference \( (V) \) and current \( (I) \)
Subject: Physics
Assertion (A): When a ball hits a floor
obliquely and gets reflected after inelastic collision, only the vertical component of its velocity gets changed. Reason (R): During collision the floor
exerts a force on the ball only along the normal but not parallel to the surface
A. Both Assertion
(A) and Reason (R) are correct and R is the correct explanation
B. Both Assertion
(A) and Reason (R) are correct but the reason does not give the correct explanation
c. A is true but R is false
D. A is false but R is true
Subject: Physics
The velocity of air over the upper surface of the wing of an aerplane is \( 40 m / s \) and that on the lower surface is
\( 30 m / s . \) If the area of the wing is \( 5 m^{2} \)
and the mass of the wing is \( 300 k g \), the
net force acting on the wing is then (Density of air \( =1.3 k g / m^{3} \) and \( g= \)
\( \left.10 m / s^{2}\right) \)
A . 725 N upward
B. 725 N downward
c. \( 2275 N \) upward
D. \( 2275 N \) downward
Subject: Physics
Two wires each of radius of cross
section \( r \) but of different materials are
connected together end to end (i.e., in series). If the densities of charge carriers in the two wires are in the ratio
\( 2: 3, \) the drift velocity of electrons in the
two wires will be in the ratio of
A .2: 3
B. 3: 2
c. 4: 9
D. 9: 4
Subject: Physics
A policeman blows a whistle with a frequency of \( 500 H z . \) A car approaches
him with a velocity of \( 15 ~ m s^{-1} \). The change in frequency as heard by the driver of the car as he passes the policeman is (Given, speed of sound in air is \( 300 m s^{-1} \)
\( \mathbf{A} \cdot 25 H z \)
в. \( 50 H z \)
c. \( 100 H z \)
D. \( 150 H z \)
Subject: Maths
A box contains 6 green balls, 4 blue balls and 5 yellow balls. A ball is drawn at random. Find the probability of
(a) Getting a yellow ball.
(b) Not getting a green ball.
A \( \cdot \frac{1}{5}, \frac{1}{3} \)
в. \( \frac{4}{15}, \frac{3}{15} \)
c. \( \frac{1}{3}, \frac{3}{5} \)
D. \( \frac{2}{3}, \frac{1}{15} \)
Subject: Physics
A particle executing simple harmonic
motion with an amplitude \( 5 \mathrm{cm} \) and a
time period 0.2 s. The velocity and acceleration of the particle when the displacement is \( 5 \mathrm{cm} \) is
A \( .0 .5 \pi m s^{-1}, 0 m s^{-2} \)
B. \( 0.5 m s^{-1},-5 \pi^{2} m s^{-2} \)
C. \( 0 m s^{-1},-5 \pi^{2} m s^{-2} \)
D. \( 0.5 \pi m s^{-1},-0.5 \pi^{2} m s^{-2} \)
Subject: Chemistry
If agas absorbs \( 200 J \) of heat and expands by \( 500 \mathrm{cm}^{3} \) against a constant
pressure of \( 2 \times 10^{5} N m^{-2}, \) then the
change in internal energy is
A. -300
B. -100
c. +100
\( \mathbf{D} \cdot+300 \)
Subject: Physics
Two fixed charges \( A \) and \( B \) of \( 5 \mu C \) each
are separated by a distance of \( 6 \mathrm{m} . \mathrm{C} \) is the mid point of the line joining A and B. A charge 'Q' of \( -5 \mu C \) is shot perpendicular to the line joining A and B
through \( C \) with a kinetic energy of 0.06
J. The charge 'Q' comes to rest at a point
D. The distance CD is?
Subject: Physics
A particle is executing simple harmonic motion (SHM) of amplitude \( A \), along the \( x \) -axis, about \( x=0 . \) When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be :
A \( \cdot \frac{A}{2} \)
в. \( \frac{A}{2 \sqrt{2}} \)
c. \( \frac{A}{\sqrt{2}} \)
D.
Subject: Maths
If \( c \) is an arbitrary constant then \( \int \frac{\cos (x+a)}{\sin (x+b)} d x= \)
A \( \cdot \cos (a-b) \ln |\sin (x-b)|-x \sin (a-b)+c \)
B. \( \cos (a-b) \ln |\sin (x+b)|-x \sin (a-b)+c \)
\( \mathbf{c} \cdot \cos (a+b) \ln |\sin (x+b)|-x \sin (a+b)+c \)
D. \( \cos (a-b) \ln \sin |(x+b)|-x \sin (a+b)+c \)
E \( \cdot \cos (a-b) \ln |\sin (x+b)|+x \sin (a-b)+c \)
Subject: Physics
A parallel-plate capacitor with an air
gap has magnitude of charge \( Q \) applied
on each plate. The plates have area \( \boldsymbol{A} \) and are separated by a distance dd.
(The distance \( d \) is very small compared to the side lengths of the plates.) The capacitor is then isolated from the voltage source. How much work will be required by an outside force to separate the plates to a
distance \( 3 d ? \)
\( ^{\mathbf{A}} \cdot \frac{Q^{2}}{4 \pi \epsilon_{0} d} \)
В. \( \frac{Q^{2}}{2 \pi \epsilon_{0} d} \)
\( ^{\mathbf{c}} \cdot \frac{Q^{2} d}{2 \epsilon_{0} A} \)
D. \( \frac{Q^{2} d}{\epsilon_{0} A} \)
E \( \cdot \frac{3 Q^{2} d}{\epsilon_{0} A} \)
Subject: Physics
A quantity \( X \) is given by \( \epsilon_{0} L \frac{\Delta V}{\Delta T} \) where so is the permittivity of the free space, is a length. \( \Delta V \) is a potential difference
and \( \Delta t \) is a time interval. The
dimensional formula for \( X \) is the same
as that of
A . resistance
B. charge
c. voltage
D. current
Subject: Maths
For two data sets, each size \( 5, \) the
variances are given to be 4 and 5 and the corresponding means are given to be 2 and \( 4, \) respectively. The variance of the combined data set is
A \( \cdot \frac{5}{2} \)
B. \( \frac{11}{2} \)
c. \( \sqrt{\frac{11}{2}} \)
D. \( \frac{13}{2} \)
Subject: Chemistry
Stand electrode potential are; \( \boldsymbol{F e}^{+2} / \mathrm{Fe} \quad \mathrm{E}=0.44 \)
\( \boldsymbol{F} \boldsymbol{e}^{+\boldsymbol{3}} / \boldsymbol{F} \boldsymbol{e}^{+\mathbf{2}} \quad \mathbf{E}=\mathbf{0 . 7 7} \)
If \( F e^{+2}, F e^{+3} \) and \( \mathrm{Fe} \) block re kept
together, then:
A \( \cdot F e^{+3} \) increases
B. \( F e^{+3} \) decreases
c. \( \frac{F e^{+2}}{F e^{+3}} \) reamins unchanged
D. \( F e^{+2} \) decreases
Subject: Chemistry
Assertion: \( p H \) value of \( H C N \) solution
decreases when \( N a C N \) is added to it
Reason: \( N a C N \) provides a common ion
\( C N^{\ominus} \) to \( H C N \)
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
E. Both Assertion and Reason are incorrect
Subject: Chemistry
In this equilibrium reaction: \( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \)
\( A B+h e a t, \) in a closed container, how
could the forward reaction rate be
increased?

This question has multiple correct options
A. Increasing \( [A B] \)
B. Increasing \( [A] \)
c. Removing some of \( A B \)
D. Removing some of \( [A],[B] \)
E. All of the above
Subject: Chemistry
The molar heat capacity \( \left(C_{p}\right) \) of \( C D_{2} O \)
is 10 cals at \( 1000 K . \) The change in entropy associated with cooling of \( 32 g \)
of \( C D_{2} O \) vapour from \( 1000 K \) to \( 100 K \)
at constant pressure will be:
\( (D=\text { deutrium, at. mass }=2 u) \)
A. -23.03 cal deg \( ^{-1} \)
в. 2.303 саг de \( g^{-1} \)
c. 23.03 cal deg \( ^{-1} \)
D. -2.303 cal de \( g^{-1} \)
Subject: Maths
are rational numbers between \( -\frac{3}{4} \) and \( \frac{1}{2} \)
A \( \cdot \frac{-7}{16}, \frac{-1}{8}, \frac{9}{16} \)
в. \( \frac{-15}{16}, \frac{-1}{8}, \frac{3}{16} \)
c. \( \frac{-7}{16}, \frac{-1}{8}, \frac{3}{16} \)
D. none of the above
Subject: Maths
ABCD is a flower bed. If \( O A=21 c m \) and
\( O C=14 m, \) find the area of the bed.
[Use \( \left.\pi=\frac{22}{7}\right] \)
\( A \cdot 161.4 m^{2} \)
в. \( 192.5 m^{2} \)
c. \( 212.6 m^{2} \)
D. \( 257.2 .5 m^{2} \)
Subject: Chemistry
Consider this reaction. \( 2 N O_{2(g)}+ \)
\[
\boldsymbol{O}_{\boldsymbol{3}(\boldsymbol{g})} \rightarrow \boldsymbol{N}_{2} \boldsymbol{O}_{\boldsymbol{5}(\boldsymbol{g})}+\boldsymbol{O}_{\boldsymbol{2}(\boldsymbol{g})}
\]
The reaction of nitrogen dioxide and ozone represented in first order in
\( N O_{2(g)} \) and \( O_{3(g)} . \) Which of these possible reaction mechanisms is consistent with the rate law?
\[
\text { Mechanism I. } \quad N O_{2}+O_{3} \rightarrow N O_{3}+
\]
\( \boldsymbol{O}_{2} \) slow
\[
N O_{3}+N O_{2} \rightarrow N_{2} O_{5}
\]
fast
\[
\text { Mechanism II. } \boldsymbol{O}_{3} \rightleftharpoons \boldsymbol{O}_{2}+\boldsymbol{O}
\]
fast
\[
N O_{2}+O \rightarrow N O_{3}
\]
slow
\[
N O_{3}+N O_{2} \rightarrow N_{2} O_{5}
\]
fast
A. I only
B. II only
c. both I and
Subject: Biology
Read the given statements to identify the phytohormone that performs these functions.
(i) Horizontal growth of seedlings, swelling of the axis and apical hook formation in dicot seedlings.
(ii) Promoting senescence and abscission of leaves and flowers.
(iii) Breaking seed and bud dormancy.
(iv) Initiating germination in peanut seeds.
(v) Sprouting of potato tubers.
\( A \cdot \) ABA
B. Ethylene
\( c \cdot \) GА
D. cytokinins
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cl}\frac{\sin \{\cos \boldsymbol{x}\}}{\boldsymbol{x}-\frac{\pi}{2}}, & \boldsymbol{x} \neq \frac{\boldsymbol{\pi}}{2} \\ \mathbf{1}, & \boldsymbol{x}=\frac{\boldsymbol{\pi}}{2}\end{array}\right. \)
(.) represents the fractional part function,
then \( \lim _{x \rightarrow \pi / 2} f(x) \) is?
\( A \)
B.
c. Does not exist
D.
Subject: Physics
An artificial satellite moving in a circular orbit around the earth has a
total \( (K . E .+P . E .) \) is \( E_{0} . \) Its potential
energy is
A. \( -E_{0} \)
в. \( 1.5 E_{0} \)
c. \( 2 E_{0} \)
D. \( E_{0} \)
Subject: Chemistry
Resistance of a conductivity cell filled with a solution of an electrolyte of concentration \( 0.1 M \) is 100 ohm. The
conductivity of this solution is \( 1.29 S m^{-1} . \) Resistance of the same cell
when filled with \( 0.2 ~ M \) of the same
solution is 520 ohm. The molar
conductivity of \( 0.02 M \) solution of the electrolyte will be:
A \( \cdot 124 \times 10^{-4} \mathrm{S} \mathrm{m}^{2} \mathrm{mol}^{-1} \)
В. \( 1240 \times 10^{-4} \mathrm{S} \) m \( ^{2} \) mol \( ^{-1} \)
c. \( 1.24 \times 10^{-4} \) S \( m^{2} \) "nol \( ^{-1} \)
D. \( 12.4 \times 10^{-4} \mathrm{S} \mathrm{m}^{2} \mathrm{mol}^{-} \)
Subject: Maths
The set \( S:\{1,2,3, \ldots ., 12\} \) is to be
partitioned into three sets \( A, B, C \) of equal size. Thus, \( \boldsymbol{A} \cup \boldsymbol{B} \cup \boldsymbol{C}=\boldsymbol{S}, \boldsymbol{A} \cap \)
\( \boldsymbol{B}=\boldsymbol{B} \cap \boldsymbol{C}=\boldsymbol{A} \cap \boldsymbol{C}=\boldsymbol{\phi} . \) The number
of ways to partition \( S \) is
A \( \cdot \frac{12 !}{3 !(4 !)^{3}} \)
в. \( \frac{12 !}{3 !(3 !)^{4}} \)
c. \( \frac{12 !}{(4 ! !)^{3}} \)
D. \( \frac{12 !}{(3 !)^{4}} \)
Subject: Physics
If the vectors \( \hat{i}+\hat{j}+\hat{k} \) and \( 3 \hat{i} \) form two
sides of a triangle, the area of the triangle is..........
A. \( \frac{3}{\sqrt{2}} \)
B. 3
\( c \cdot 2 \)
D. \( 2 / 3 \)
Subject: Maths
The axes being inclined at an angle of
\( 60^{\circ}, \) the angle between the two straight
lines \( y=2 x+5 \) and \( 2 y+x+7=0 \) is
\( \mathbf{A} \cdot 90 \)
B. \( \tan ^{-1} \frac{5}{3} \)
\( ^{\mathrm{C}} \cdot \tan ^{-1} \frac{\sqrt{3}}{2} \)
D. \( \tan ^{-1} \frac{5}{\sqrt{3}} \)
Subject: Physics
The \( K_{a}-X \) ray of Molybdenum has a
wavelength of \( 71 \times 10^{-12} \) m. If the
energy of a Molybdenum atom with \( \mathrm{K} \) electron removed is \( 23.32 K e V \), then
the energy of Molybdenum atom when
an L-electron removed is:
\( \left(h c=12.42 \times 10^{-7} e V\right) \)
A \( .40 .82 \mathrm{KeV} \)
в. \( 23.32 \mathrm{KeV} \)
\( \mathbf{c} .5 .82 \mathrm{KeV} \)
D. \( 17.5 \mathrm{KeV} \)
Subject: Physics
A car, starting from rest, accelerates at
the rate \( f \) through a distance \( S, \) then
continues at constant speed for time \( t \)
and then decelerates at the rate \( \boldsymbol{f} / \mathbf{2} \) to come at rest. If the total distance
traversed is \( 15 S, \) then
A \( \cdot S=\frac{1}{2} f t^{2} \)
B. \( S=\frac{1}{4} f t^{2} \)
c. \( S=f t \)
D. \( s=\frac{1}{72} f t^{2} \)