AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The area enclosed by \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\mathbf{4}, \boldsymbol{y}= \)
\( x^{2}+x+1, y=\left[\sin ^{2} \frac{x}{4}+\cos \frac{x}{4}\right] \) and \( x \)
-axis (where [.] denotes the greatest integer function) is:
A \( \cdot \frac{2 \pi}{3}+\sqrt{3}-\frac{1}{6} \)
В \( \cdot \frac{2 \pi}{3}+2 \sqrt{3}-\frac{1}{6} \)
c. \( 2 \sqrt{3}-\frac{1}{3} \)
D. \( \frac{\pi}{3}+\sqrt{3} \)
Subject: Physics
Assertion
Use of ball bearings between two moving parts of a machine is a common
practice.
Reason
Ball bearings reduce vibrations and
provide good stability.
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
A square loop ABCD, carrying a current
\( I_{2}, \) is placed near and coplanar with a
long straight conductor XY carrying a
current \( I_{1}, \) as shown in the figure. The
net force on the loop will be :
A \( \cdot \frac{\mu_{0} I_{1} I_{2}}{2 \pi} \)
В. \( \frac{\mu_{0} I_{1} I_{2} L}{2 \pi} \)
c. \( \frac{2 \mu_{0} I_{1} I_{2} L}{3 \pi} \)
D. \( \frac{2 \mu_{0} I_{1} I_{2}}{3 \pi} \)
Subject: Biology
Which one of the following is a
matching pair?
A. Lub-sharp closure of AV valves at the begining of ventricular systole
B. Dup-sudden opening of semilunar valves at the begining of ventricular diastole
C. Pulsation of the radial artery-valves in the blood vessels
D. Initiation of the heart beat-Purkinje fibres
Subject: Chemistry
Carbon monoxide is naturally produced by oxidation of \( \underline{X}, \) a gas present in swamp area while it can be produced by \( Y \) of fuels containing carbon
A. \( x-C O_{2}, Y= \) complete combustion
B . \( x-C H_{4}, Y= \) incomplete combustion
c. \( x=c, Y= \) oxidation
D. \( x=C H_{4}, Y= \) complete combustion
Subject: Physics
A monkey is descending from the branch of a tree with constant
acceleration if the breaking strength is \( 75 \% \) of the weight of the monkey, The minimum acceleration with which
monkey can slide down without breaking branch is
\( A \cdot g \)
в. \( \frac{3 g}{4} \)
c. \( \frac{g}{4} \)
D. \( \frac{g}{2} \)
Subject: Physics
A person walk up a stalled \( 15 \mathrm{m} \) long
escalator in 90 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator? Does the answer depend on the length of the escalator?
A. 36 s, Yes
B. 30s, Yes
\( c .36 s, \) No
D. 30s, No
Subject: Chemistry
Which of the following solution contains approximately equal hydrogen ion concentration?
This question has multiple correct options
A. \( 100 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{HCl}+50 \mathrm{mL} \mathrm{H}_{2} \mathrm{O} \)
B. \( 75 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{HCl}+75 \mathrm{mL} \mathrm{H}_{2} \mathrm{O} \)
c. \( 50 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}+100 \mathrm{mL} \mathrm{H}_{2} \mathrm{O} \)
D. \( 100 \mathrm{mL} \) of \( 0.1 \mathrm{N} \mathrm{H}_{2} \mathrm{SO}_{4}+50 \mathrm{mL} \mathrm{H}_{2} \mathrm{O} \)
Subject: Chemistry
Assertion
For adsorption \( \Delta G, \Delta S \) and \( \Delta H \) all have negative values.
Reason
Adsorption is a spontaneous process accompanied by decrease in randomness.
A. If both (A) and (R) are true and (R) is the correct explanation of (A).
B. If both (A) and (R) are true, but (R) is not the correct explanation of (A).
c. If (A) is correct, but (R) is incorrect.
D. If (A) and (R) are both incorrect
Subject: Physics
The \( 10 \mathrm{kg} \) block is moving to the left
with a speed of \( 1.2 m / s \) at time \( t=0 . A \)
force \( F \) is applied as shown in the graph.
After 0.2 s the force continues at the
10 \( N \) level. If the coefficient of kinetic
friction is \( \mu_{k}=0.2 . \) Determine the time
\( t \) at which the block comes to a stop. \( (g= \)
\( \mathbf{1} \mathbf{0} \boldsymbol{m} / \boldsymbol{s}^{\mathbf{2}} \mathbf{)} \)
A . \( 0.333 s \)
B. \( 0.526 s \)
c. \( 0.165 s \)
D. None of the above
Subject: Physics
Locate the centre of mass of three
particles of mass \( \boldsymbol{m}_{1}=\mathbf{1} \boldsymbol{k} \boldsymbol{g}, \boldsymbol{m}_{2}= \)
\( 2 k g \) and \( m_{3}=3 k g \) at the corners of an
equilateral triangle of each side of \( 1 \boldsymbol{m} \)
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}+\frac{1}{x}, \boldsymbol{x} \neq 0, \) then
A. \( f(x) \) has no point of local maxima
B. \( f(x) \) has no point local minima
C \( . f(x) \) has exactly has one point of local minima
D. \( f(x) \) has exactly has two point of local minima
Subject: Maths
Calculate the area of the figure given
below: which is not drawn to scale.
\( \mathbf{A} .630 \mathrm{sq.cm} \)
B. 620 sq. \( \mathrm{cm} \)
c. 640 sq. \( \mathrm{cm} \)
D. 600 sq. \( \mathrm{cm} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2}-\boldsymbol{C l} \) undergoes homolytic
fission to produce :
\( \mathbf{A} \cdot C H_{3} C H_{2} \quad \) and \( \quad \dot{C} l \)
B. \( C H_{3} C H_{2} \) and \( C l^{\ominus} \)
\( \mathbf{c} \cdot c_{H_{3}} \stackrel{\oplus}{C H_{2}} \) and \( C l^{\ominus} \)
\( \mathrm{D} \cdot \mathrm{CH}_{3} \mathrm{CH}_{2} \quad \) and \( \quad \mathrm{Cl}^{\oplus} \)
Subject: Physics
A molecule of a substance has a
permanent electric dipole moment of magnitude \( 10^{-30} \mathrm{cm} . \) A mole of this substance is polarised by applying a strong electrostatic field of magnitude \( 10^{7} \mathrm{V} m^{-1} \). the direction of the field is
changed by an angle \( 60 . \) The heat released by the substance In aligning its dipole along the new direction of the
field is:
A . - 6 J
B. -3 J
c. 3
\( D .6 \)
Subject: Chemistry
One litre sample of a mixture of
methane gas and \( O_{2} \) measured at \( 25^{\circ} C \)
and 740 torr was allowed to react at
constant pressure in a calorimeter which together with its content has a heat capacity of 1260 cal/degree. The complete combustion of methane to
\( C O_{2} \) and \( H_{2} O \) caused a temperature rise in calorimeter of 0.667 K. The
percentage of \( C H_{4} \) in original mixture
was:
Given: \( \Delta \boldsymbol{H}_{\text {combustion}} \) of \( \boldsymbol{C} \boldsymbol{H}_{4} \) is
\( -210.8 k c a l m o l^{-1} \)
A . \( 10 \% \)
в. 20\%
c. \( 15 \% \)
D. 30\%
Subject: Chemistry
Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so obtained is diazotised and then heated
with cuprous bromide. The reaction mixture so formed contains:
A. mixture of o- and p-bromotoluenes
B. mixture of o- and p-dibromobenzenes
c. mixture of o- and p-bromoanilines
D. mixture of o- and m-bromotoluenes
Subject: Maths
Find the distance between the points whose position vectors are given as follows \( \mathbf{4} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{6} \hat{\boldsymbol{k}},-\mathbf{2} \hat{\mathbf{i}}+\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \)
A . \( \sqrt{65} \)
B. \( \sqrt{69} \)
c. 13
D. none of these
Subject: Physics
At a certain place, the angle of dip is
\( 60^{\circ} \) and the horizontal component of
earth's magnetic field \( \left(B_{H}\right) \) is \( 0.8 \times \)
\( \mathbf{1 0}^{-4} \boldsymbol{T} . \) The earth's overall magnetic
field is:
A \( .1 .5 \times 10^{-4} T \)
в. \( 1.6 \times 10^{-3} T \)
c. \( 1.5 \times 10^{-3} T \)
D. \( 1.6 \times 10^{-4} T \)
Subject: Physics
The potential difference between two
parallel plates is \( 10^{4} V . \) If the plates are
separated by \( 0.5 \mathrm{cm}, \) the force on an electron between the plates is :
A . \( 32 \times 10^{-13} N \)
В. \( 0.32 \times 10^{-13} N \)
D. \( 3.2 \times 10^{-13} \) \( N \)
Subject: Maths
A fair coin is tossed \( 2 n \) times. The
probability of getting as many heads in
the first \( n \) tosses as in the last \( n \) is
A \( \cdot \frac{2 n_{C_{n}}}{2^{2 n}} \)
B. \( \frac{2 n_{C_{n-1}}}{2^{n}} \)
c. \( \frac{n}{2^{n}} \)
D. \( \frac{n^{2}}{2^{n}} \)
Subject: Maths
The equation of the curve through the point (3,2) and whose slope is \( \frac{x^{2}}{y+1}, \) is
\( ^{\mathrm{A}} \cdot \frac{y^{2}}{2}+y=\frac{x^{3}}{3}+5 \)
B . \( y+y^{2}=x^{3}-21 \)
c. \( y^{2}+2 y=\frac{2 x^{3}}{3}-10 \)
D. \( \frac{y^{2}}{2}+y=\frac{x^{3}}{3}-5 \)
Subject: Chemistry
In a heterolytic bond fission of \( 2- \) methyl1-phenylpropane, which of the following stable carbocation will form?
A \( \cdot C_{6} H_{5}-C H_{2}^{+} \)
в. \( \left(C H_{3}\right)_{2} C H^{+} \)
\( \mathbf{c} \cdot C H_{3}^{+} \)
D. \( C_{6} H_{5}^{+} \)
Subject: Physics
The displacement of an oscillating particle varies with time 't' (in seconds) \( \operatorname{according} \operatorname{as} x=2 \cos (0.5 \pi t) \) metre
Then amplitude and time period are :
\( A \cdot 1 m, 4 s \)
B. 2 \( m, 4 \) s
\( c \cdot 2 m, 2 s \)
D. \( 1 \mathrm{m}, 2 \mathrm{s} \)
Subject: Physics
It is assumed that a photon takes \( 10^{6} \) years to reduce travel from core to the
surface of the sun. Find the average distance that light can travel within the
interior of the sun without being scattered.
\( \mathbf{A} \cdot 2 m m \)
в. \( 0.1 \mathrm{mm} \)
\( \mathrm{c} .0 .4 \mathrm{mm} \)
D. \( 0.6 \mathrm{mm} \)
Subject: Physics
A circular coil of radius \( 25 \mathrm{cm} \), carries a
current of \( 50 A \). If it has 35 turns, the
flux density at the centre of the coil is \( W b / m^{2} \)
A \( \cdot \pi \times 10^{-3} \)
В. \( 1.4 \pi \times 10^{-3} \)
c. \( 14 \pi \times 10^{-3} \)
D \( .2 \pi \times 10^{-3} \)
Subject: Chemistry
The shape of \( \left(C H_{3}\right)_{3} N \) is pyramidal
because:
A. nitrogen forms three \( s p^{3} \) hybridised \( \sigma \) bonds with carbon atoms of methyl groups and there is one nonbonding electron pair
B. nitrogen forms three \( s p^{2} \) hybridised \( \sigma \) bonds with carbon atoms of methyl groups and fourth orbital forms \( \pi \) bond
C. nitrogen has five valencies which are arranged in pyramidal shape
D. the unpaired electron present on nitrogen is delocalised
Subject: Physics
The energy released in a modest size
atomic bomb (20 kiloton) is about \( 10^{14} \)
J. On a monsoon day in Mumbai, there was a heavy rainfall of about 100 \( \mathrm{cm} \) over an area of about \( 100 \mathrm{km}^{2} \). The
energy released in the atmosphere on that day is roughly equivalent to that released in:
(Assume average height of clouds to be \( 2000 \mathrm{m} \)
A. 20 atomic bombs
B. 100 atomic bombs
c. Atomic bomb
D. Negligible compared to an atomic bomb
Subject: Chemistry
The cell reaction \( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2+}(\boldsymbol{a q})+ \)
\( \mathbf{1 4} \boldsymbol{H}^{+}(\boldsymbol{a q})+\boldsymbol{6} \boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{a q}) \rightarrow \)
\( \mathbf{6} F e^{3+}(\boldsymbol{a} \boldsymbol{q})+\mathbf{2} \boldsymbol{C} \boldsymbol{r}^{3+}(\boldsymbol{a} \boldsymbol{q})+\mathbf{7} \boldsymbol{H}_{2} \boldsymbol{O}(l) \)
best represented by:
A \( \cdot P t(s)\left|F e^{2+}(a q), F e^{3+}(a q) \| C r_{2} O_{7}^{2+}(a q), C r^{3+}(a q)\right| P t(s) \)
B . \( P t(s)\left|C r_{2} O_{7}^{2+}(a q), C r^{3+}(a q) \| F e^{3+}(a q), F e^{2+}(a q)\right| P t(s) \)
C. \( F e^{2+}(a q)\left|F e^{3+}(a q) \| C r_{2} O_{7}^{2+}(a q)\right| C r^{3+}(a q) \)
D. \( C r_{2} O_{7}^{2+}(a q)\left|C r^{3+}(a q) \| F e^{3+}(a q)\right| F e^{2+}(a q) \)
Subject: Chemistry
The order of reactivities of methyl
halides in the formation of Grignard
reagent is :
A. \( C H_{3} I>C H_{3} B r>C H_{3} C l \)
в. \( C H_{3} C l>C H_{3} B r>C H_{3} I \)
c. \( C H_{3} B r>C H_{3} C l>C H_{3} I \)
D. \( C H_{3} B r>C H_{3} I>C H_{3} C l \)
Subject: Physics
Assertion
A direct current flows through a metallic rod. It produces magnetic field only outside the rod.
Reason
The charge carries flow through whole of
the cross section.
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: Maths
n Fig.1, 0 is the centre of circle, \( A B \) is a
chord and \( A T \) is the tangent at \( A \). If
\( \angle A O B=100^{\circ}, \) then \( \angle B A T \) is equal to
A \( \cdot 100^{\circ} \)
B. \( 40^{\circ} \)
\( c \cdot 50 \)
D. 9 ?
Subject: Physics
A \( 1 \mathrm{cm} \) height needle is placed at a
distance of \( 0.1 ~ m \) from a convex mirror
of focal length 0.05 m, then size of the
image is
A. \( 1 \mathrm{cm} \)
в. \( 0.66 \mathrm{cm} \)
\( \mathrm{c} .0 .33 \mathrm{cm} \)
D. \( 0.5 \mathrm{cm} \)
Subject: Physics
Two capacitors of capacitance \( C_{1} \) and
\( C_{2} \) are connected in parallel across a
battery. If \( Q_{1} \) and \( Q_{2} \) respectively be the charges on the capacitors, then \( \frac{Q_{1}}{Q_{2}} \) will be equal to :
A. \( \frac{C_{2}}{C_{1}} \)
в. \( \frac{C_{1}}{C_{2}} \)
c. \( \frac{C_{1}^{2}}{C_{2}^{2}} \)
D. \( \frac{C_{2}^{2}}{C_{1}^{2}} \)
Subject: Physics
Ship A is located \( 4 k m \) north and \( 3 k m \)
east of ship B. Ship A has a velocity of
\( 20 \mathrm{kmh}^{-1} \) towards the south and ship \( \mathrm{E} \)
is moving at \( 40 \mathrm{kmh}^{-1} \) in a direction
\( 37^{\circ} \) north of east. \( X \) and \( Y \) axes are along east and north directions, respectively. This question has multiple correct options
A. Velocity of A relative to B is \( -32 \hat{i}-44 \hat{j} \)
B. Position of A relative to B as a function of time is given by \( \vec{r}_{A B}=(3-32 t) \hat{i}+(4-44 t) \hat{j} \)
c. Velocity of A relative to B is \( 32 \hat{i}-44 \hat{j} \)
D. Position of A relative to B as a function of time is given by \( (32 t \hat{i}-44 t \hat{j}) \)
Subject: Physics
A ray of light falls on the surface of a spherical glass paperweight making an angle \( a \) with the normal and is refracted
in the medium at angle \( b \). The angle of deviation of the emergent ray from the
direction of incident ray is :
A \( . a-b \)
в. \( 2(a-b) \)
c. \( \frac{(a-b)}{2} \)
D. \( b-a \)
Subject: Chemistry
A chemical reaction, \( A \rightleftharpoons B \),is said to
be in equilibrium when:
A. Rate of forward reaction is equal to rate of backward reaction
B. Conversion of \( A \) to \( B \) is only \( 50 \% \) complete
C . Complete conversion of \( A \) to \( B \) has taken place
D. Only \( 25 \% \) conversion of \( A \) to \( B \) has taken place
Subject: Chemistry
In which of the following pairs of ions, the lower oxidation state in aqueous solution is more stable than the other?
\( \mathbf{A} \cdot T i^{+}, T i^{3+} \)
B. \( C u^{+}, C u^{2+} \)
c. \( C r^{+}, C r^{3+} \)
D. None of these
Subject: Chemistry
The order of elementary reactions can be determined by the number of molecules participating in a collision. Based on this knowledge, which of the following is least likely an elementary reaction?
A. A unimolecular process such as \( C H_{3} N C \rightarrow C H_{3} C N \)
B. A bimolecular reaction such as \( N O+O_{3} \rightarrow N O_{2}+O_{2} \)
C. A tirmolecular process such as \( O+N_{2} O+N \rightarrow \)
\( N O_{2}+N_{2} \)
D. A tetramolecular process such as \( N_{2}+2 H_{2}+C l_{2} \rightarrow \)
\( 2 N H_{4} C l \)
Subject: Physics
The mass of uniform square plate is
\( 120 g \) and its side length is \( 20 c m \). About an axis perpendicular to the plane of plate and passing through its centre, the moment of inertia is :
A \( \cdot 8 \times 10^{-3} k g m^{2} \)
B . \( 8 \times 10^{-4} k g m^{2} \)
c. \( 4 \times 10^{-3} k g m^{2} \)
D. \( 4 \times 10^{-4} k g m^{2} \)
Subject: Physics
The kinetic energy of a moving body is given by \( K=2 v^{2}, K \) being injoules
and \( v \) in \( \mathrm{m} / \mathrm{s} \). Its momentum when
traveling with a velocity of \( 2 m s^{-1} \) will
be :
A \( .16 \mathrm{kgms}^{-1} \)
в. \( 4 \mathrm{kgms}^{-1} \)
c. 8 kgms\( ^{-1} \)
D. 2 kgms \( ^{-1} \)
Subject: Physics
The distance between two thin long
straight parallel conducting wires is \( b \) On passing the same current \( i \) in them, the force per unit length between them will be
A \( \cdot \frac{\mu_{0} i}{2 \pi b} \)
В. \( \frac{\mu_{0} i^{2}}{2 \pi} \)
c. \( \frac{\mu_{0} i^{2}}{2 \pi b} \)
D. zero
Subject: Maths
Which of the following is true regarding the function \( \boldsymbol{f}(\boldsymbol{x}, \boldsymbol{y})=\boldsymbol{x}^{4} \sin \frac{\boldsymbol{x}}{\boldsymbol{y}} ? \)
A. Not homogenous
B. Homogenous with degree 2
c. Homogenous with degree 3
D. None of the above
Subject: Maths
If the vector \( b \) is collinear with the vector
\( \boldsymbol{a}=(\mathbf{2} \sqrt{\mathbf{2}},-\mathbf{1}, \mathbf{4}) \) and \( |\boldsymbol{b}|=\mathbf{1 0}, \) then
A \( \cdot a \pm b=0 \)
В . \( a+2 b=0 \)
c. \( 2 a_{\pm} b=0 \)
D. None of these
Subject: Chemistry
Which one is true for solutions showing
positive deviation from raoult's law?
A. A-B interaction has nothing to do with positive deviations
B. A-B interactions are weaker than than those between
A-A and B-B
C. A-B interactions are stronger than those between A-A and B-B
D. A-B interactions are same as those between A-A and B-
\( B \)
Subject: Maths
Find the value of \( x \) and \( y \)
A \( \cdot x=10^{\circ}, y=7 \)
B . \( x=18^{\circ}, y=5 \)
\( \mathbf{C} \cdot x=9^{o}, y=6 \)
D. \( x=7^{\circ}, y=6 \)
Subject: Physics
A system goes from \( A \) to \( B \) in two
processes I and II as shown in the fig. If
\( \Delta U_{1} \) and \( \Delta U_{2} \) are the changes in
internal energies in the processes I and
II respectively then.
A \( . \Delta U_{2}<\Delta U_{1} \)
B \( . \Delta U_{2}>\Delta U_{1} \)
C. Relation between \( \Delta U_{2} \) and \( \Delta U_{1} \) can not bedetermined
D. \( \Delta U_{2}=\Delta U_{1} \)
Subject: Maths
If \( \frac{x+a}{2}=b \cot ^{-1}(b \ln y), b>0, \) then
value of \( \boldsymbol{y} \boldsymbol{y}^{\prime \prime}+\boldsymbol{y} \boldsymbol{y}^{\prime} \ln \boldsymbol{y} \) equals
A \( \cdot y^{\prime} \)
B . \( y^{\prime} \)
\( c \cdot 0 \)
D.
Subject: Physics
Inside a horizontally moving box, an
experimenter finds that when an object
is placed on a smooth horizontal table
and is released, it moves with an
acceleration of \( 10 m s^{-2} . \) In this box, if
1 kg body is suspended with a light string, the tension in the string in equilibrium position. (w.r.t. experimenter) will be (take \( g=10 m s^{-2} \)
A \( \cdot 10 m s^{-2} \)
B . \( 10 \sqrt{2} \mathrm{ms}^{-2} \)
c. \( m s^{-2} \)
D. Zero
Subject: Physics
An electron accelerated by a potential
difference \( V=1.0 k V \) moves in a
uniform magnetic field at an angle \( \boldsymbol{\alpha}= \)
\( 30^{\circ} \) to the vector \( B \) whose modulus is
\( B=29 \) mT.Find the pitch of the helical
trajectory of the electron.
\( A \cdot 1 m \)
B. \( 1 \mathrm{cm} \)
\( c \cdot 2 m \)
D. \( 2 \mathrm{cm} \)
Subject: Maths
Mamta knitted a circular pattern and
then she put a handle around it and
used it as a hand fan. Find the area of
the design she has made, if outer circle
radius is \( 17.5 \mathrm{mm} \) and inner circle
radius is \( 7.5 \mathrm{mm} .\left[\boldsymbol{U} \boldsymbol{s e} \boldsymbol{\pi}=\frac{22}{7}\right] \)
Subject: Chemistry
The mass of electron is \( 9.11 \times 10^{-31} \)
kg.Planck's constant is \( 6.626 \times 10^{-34} \)
Js then the uncertainty involved in the measurement of velocity within a distance of \( 0.1 \AA \) is :
\( \mathbf{A} \cdot 5.79 \times 10^{6} \mathrm{ms}^{-1} \)
B . \( 5.79 \times 10^{7} \mathrm{ms}^{-1} \)
C. \( 5.79 \times 10^{8} \mathrm{ms}^{-1} \)
D. \( 5.79 \times 10^{5} \mathrm{ms}^{-1} \)
Subject: Chemistry
Assertion
According to Mendeleev, periodic properties of elements are periodic
function of their atomic number
Reason
Atomic number is equal to the number of protons.
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of assertion.
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
The initial velocity of a particle \( (\operatorname{at} t=0 \)
is \( u \) and the acceleration by \( f \) of
particle at time \( t \) is given \( \boldsymbol{f}=\boldsymbol{a t} . \) Where
\( a \) is a constant which of the following
relation for velocity \( v \) of particle after time \( t \) is turn
A \( \cdot v=u+a t^{2} \)
B. \( v=u+\frac{a t^{2}}{2} \)
c. \( v=u+a t \)
D. \( v=u \)
Subject: Biology
Match the column:
List I

List II
I) Cells possess highly thickened
A) Tracheids walls with oblilateral central
human
II) Elongated tube like cells with
B) Vessels \( \quad \) thick lignified walls and tapering ends
III) Individual members are
C) Xylem \( \quad \) interconnected through parenchyma perorations in their common walls
D) Xylem
IV) Cells are living with thin fibers
A. A-II B-III C-IV D-I
B. A-II B-IV C-I D-III
C \( . \) A-III B-II C-IV D-I
D. A-II B-III C-I D-IV
Subject: Physics
If the plane has an eastward heading, and a \( 20 m / s \) wind blow towards the
southwest, then the plane's speed is-
\( \mathbf{A} \cdot 80 m / s \)
B. more than \( 80 \mathrm{m} / \mathrm{s} \) but less than \( 100 \mathrm{m} / \mathrm{s} \)
\( \mathrm{c} \cdot 100 \mathrm{m} / \mathrm{s} \)
D. more than \( 100 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Arrange the following elements in increasing order of their atomic radii \( \boldsymbol{L} \boldsymbol{i}, \boldsymbol{B} \boldsymbol{e}, \boldsymbol{F}, \boldsymbol{N} \)
A. \( N<F<B e<L i \)
B. \( F<N<L i<B e \)
c. \( F<B e<N<L i \)
D. \( F<N<B e<L i \)
Subject: Physics
In the circuit diagram shown all the
capacitors are in \( \mu F . \) The equivalent
capacitance between points \( A \) and \( B \) is \( (\operatorname{in} \mu F) \)
A \( \cdot \frac{14}{5} \)
B. 7.5
\( c \cdot \frac{3}{7} \)
D. none of these
Subject: Maths
If the range of \( f(x)=\sin ^{-1} x+ \)
\( \tan ^{-1} x+\cos ^{-1} x \) is
\( =\left[\frac{\pi}{a}, \frac{b \pi}{c}\right] \)
Find the value of \( a+b+c \)
A. 7
B. 8
c. 10
D. 11
Subject: Physics
In a series LCR circuit \( \boldsymbol{R}=\mathbf{3 0 0 \Omega}, \boldsymbol{L}= \)
\( \mathbf{0 . 9 H}, \boldsymbol{C}=\mathbf{2} \boldsymbol{\mu} \boldsymbol{F}, \boldsymbol{\omega}=\mathbf{1 0 0} \mathbf{o} \) rad/s. The
impedance of the circuit is?
A. \( 500 \Omega \)
B. 1300\Omega
c. \( 400 \Omega \)
D. \( 900 \Omega \)
Subject: Maths
The solution of the differential equation \( \sin y \frac{d y}{d x}=\cos y(1-x \cos y) \) is:
A \( \cdot \sec y=x+1+K e^{-x} \)
B. sec \( y=x+1+K e^{x} \)
c. sec \( y=x-1+K e^{x} \)
D. sec \( y=x-1+K e^{-x} \)
Subject: Maths
A bag contains four tickets marked
with \( 112,121,211,222, \) one ticket is
drawn at random from the bag. Let
\( \boldsymbol{E}_{i}(\boldsymbol{i}=\mathbf{1}, \mathbf{2}, \mathbf{3}) \) denote the event that \( \boldsymbol{i}^{t h} \)
digit on the ticket is 2 then :
This question has multiple correct options
A \( . E_{1} \) and \( E_{2} \) are independent
B. \( E_{2} \) and \( E_{3} \) are independent
C \( . E_{3} \) and \( E_{1} \) are independent
D. \( E_{1}, E_{2}, E_{2} \) are independent
Subject: Physics
The galvanometer deflection, when key
\( K_{1} \) is closed but \( K_{2} \) is open, equals \( \theta_{0} \)
(see figure). On closing \( K_{2} \) also and
adjusting \( R_{2} \) to5 \( \Omega, \) the deflection in
galvanometer becomes \( \frac{\theta_{0}}{5} \). The
resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery \( ] \)
A . \( 12 \Omega \)
B . \( 25 \Omega \)
\( c .5 \Omega \)
D. \( 22 \Omega \)
Subject: Biology
Select the correct option:
Identify \( A, B \) and \( C \) in the given reaction of lactic acid fermentation and select
the correct option. Pyruvic acid \( + \) Lactate deh
\( \boldsymbol{A}_{\boldsymbol{F} \boldsymbol{M} \boldsymbol{N}, \boldsymbol{Z} \boldsymbol{n}^{2+}}^{\text {and }} \boldsymbol{B}+\boldsymbol{C} \)
A \( \cdot \) A-NADH ; B- Lactic acid \( +C O_{2} ; \) C- \( N A D^{+} \)
B. A-NADH; B-Lactic acid ; C- \( N A D^{+} \)
c. \( A-N A D^{+} ; \) B- Lactic acid \( ; \) C- NADH
D. A-NAD'; B-Lactic acid + \( C O_{2} ; \) C-NADH