AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The isoelectronic pair is:
A. \( C l_{2} O, I C l_{2} \)
в. \( C l_{2}, C l O_{3}^{-} \)
\( \mathbf{c} \cdot I F_{2}^{+}, I_{3}^{-} \)
D. \( C l O_{2}^{-}, C l F_{2} \)
Subject: Chemistry
Methylene blue is adsorbed on
activated charcoal at \( 25^{0} C \) from its
aqueous solution. Which is the correct statement for this process?
A. The adsorption requires activation at \( 25^{\circ} \mathrm{C} \)
B. The adsorption is accompanied by a decrease in enthalpy.
c. The adsorption increases with increase of temperature.
D. The adsorption is irreversible.
Subject: Maths
In given figure, DEFG is a square and \( \angle B A C=90^{0} . \) Prove that
(i) \( \triangle A G F \sim \triangle D B G \)
(ii) \( \triangle A G F \sim \triangle E F C \)
(iii) \( \triangle D B G \sim \triangle E F C \)
\( (\text { iv }) \boldsymbol{D} \boldsymbol{E}^{2}=\boldsymbol{B} \boldsymbol{D} \times \boldsymbol{E} \boldsymbol{C} \)
Subject: Physics
A man sets his watch by a whistle that is \( 2 k m \) away. How much will his watch
be in error. (speed of sound in air
\( \mathbf{3 3 0} \boldsymbol{m} / \boldsymbol{s}) \)
A. 3 second fast
B. 3 second slow
\( c .6 \) second fast
D. 6 second slow
Subject: Physics
Which of the following is/are correct
regarding the working principle of LED?
This question has multiple correct options
A. When an electron makes a transition to the valance
band to fill up a hole in a p-njunction, it emits energy in the form of photon
B. The energy of this photon is equal to the energy gap between conducction band and valance band energy levels
C. Energy of a photon is the product of frequency of electromagnetic radiation (f) and Planck constant (h)
D. Both A and B
Subject: Physics
Assertion
STATEMENT-1
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume
Reason
STATEMENT-2
The molecules of a gas collide with each
other and the velocities of the
molecules change due to the collision.
A. Statement-1 is True, Statement-2 is True; Statement- is a correct explanation for Statement- -
B. Statement- - is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-
c. Statement- - 1 is True, Statement- 2 is False
D. Statement- - is False, Statement-2 is True
Subject: Physics
When a ray of light is incident normally on one refracting surface of an equilateral prism (Refractive index of the material of the prism \( =1.5 \) )
A . emerging ray is deviated by \( 30^{\circ} \)
B. emerging ray is deviated by 45
c. emerging ray just grazes the second refracting surface
D. The ray undergoes total internal reflection at the second refracting surface
Subject: Physics
The magnetic potential energy stored in a certain inductor is \( 25 \mathrm{mJ} \), when the
current in the inductor is \( 60 \mathrm{mA} \). This
inductor is of inductance.
A . 1.389 н
В. 0.138 н
c. 13.89 н
D. \( 138.88 \mathrm{H} \)
Subject: Maths
From the mast head of a ship the angle of depression of a boat is \( \tan ^{-1}\left(\frac{5}{12}\right) \) If the mast head is 100 metres. The
distance of the boat from the ship is
\( \mathbf{A} \cdot 120 m \)
B. \( 180 m \)
c. \( 240 m \)
D. None of these
Subject: Physics
A block weighing \( 20 \mathrm{N} \) rests on a horizontal surface. The coefficient of
static friction between the block and
surface is 0.4 and the coefficient of
kinetic friction is 0.20 .
a. How much is the friction force exerted
on the block?
b. How much will the friction force be if
a horizontal force \( 5 \mathrm{N} \) is exerted on the
block?
c. What is the minimum force that will
start the block in motion?
d. What is the minimum force that will
keep the block in motion once it has
been started?
e. If the horizontal force is \( 10 \mathrm{N} \), what is
the friction force?
Subject: Chemistry
For a crystal, the angle of diffraction (2
\( \theta \) ) is \( 90^{\circ} \) and the second order line has a
d value of \( 2.28 \AA . \) The wavelength \( (\text { in } \AA) \) of X-rays used for Bragg's diffraction is:
A . 1.612
B. 2.00
c. 2.28
D. 4.00
Subject: Biology
Select the correct option:
Complete the given flowchart by
selecting the correct option:
A. A- Stipes; B- Hypopharynx; C- Exopodite; D- First maxillae
B. A- Stipes; B- Exopodite; C- Hypopharynx; D- First maxillae
c. A- First maxillae; B- Hypopharynx; C- Exopodite; DStipes
D. A- First maxillae; B- Exopodite; C- Hypopharynx; D Stipes
Subject: Maths
Solve the initial value problem:
\( \boldsymbol{d} \boldsymbol{y}=\boldsymbol{e}^{2 \boldsymbol{x}+\boldsymbol{y}} \boldsymbol{d} \boldsymbol{x}, \boldsymbol{y}(\boldsymbol{0})=\boldsymbol{0} \)
Subject: Physics
A particle of mass \( m \) strikes a wall
elastically with speed \( v \) at an angle \( 30^{\circ} \)
with the wall as shown in the figure. The
magnitude of impulse imparted to the
ball by the wall is:
\( A \)
в. \( \frac{m v}{2} \)
\( c \cdot 2 m v \)
D. \( \sqrt{3} \) mv
Subject: Physics
Two soaps bubbles (surface tension \( \boldsymbol{T} \) )
coalesce to form a big bubble under isothermal condition. If in this process the change in volume be \( V \) and the
surface area be \( S, \) then the correct
relation is \( (P \) is atmospheric pressure):
A. \( P V+T S=0 \)
в. \( 3 P V+4 T S=0 \)
c. \( 3 P V+T S=0 \)
D. \( 4 P V+3 T S=0 \)
Subject: Physics
A conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field. An e.m.f. will be
induced in the loop if This question has multiple correct options
A . I is translated parallel to itself
B. It is rotated about one of its diameters.
c. It is rotated about its own axis which is parallel to the field
D. The loop is deformed from the original shape
Subject: Maths
If \( \overrightarrow{\boldsymbol{a}} \cdot \hat{\boldsymbol{i}}=\overrightarrow{\boldsymbol{a}} \cdot(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}})=\overrightarrow{\boldsymbol{a}} \cdot(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}) \)
then find the unit vector \( \vec{a} \).
Subject: Physics
In the given figure, \( a=15 \mathrm{m} / \mathrm{s}^{2} \)
represents the total acceleration of a particle moving in the clockwise direction in a circle of radius \( \boldsymbol{R}=\mathbf{2 . 5 m} \)
at a given instant of time. The speed of
the particle is:
\( \mathbf{A} \cdot 6.2 m / s \)
B. \( 4.5 m / s \)
\( c .5 .0 m / s \)
D. \( 5.7 m / s \)
Subject: Biology
Breeding ground for migratory flamingo
is
A. Area of Gulf of Kachch (Kutch)
B. Area between Khadir and Paccham islands in great Rann of Kachch
C. Area of great Rann of Kachch (Kutch) and little Rann of Kachch (Kutch)
D. Area of Nal Sarovar Bird Sanctuary
Subject: Maths
ff \( \quad A=\tan ^{-1}\left(\frac{x \sqrt{3}}{2 k-x}\right) \) and \( B= \)
\( \tan ^{-1}\left(\frac{2 x-k}{k \sqrt{3}}\right) . \) Then, \( A-B \) is equal
to
A \( \cdot \frac{\pi}{2} \)
в.
c.
D. None of these
Subject: Maths
A train covered a certain distance at a
uniform speed. If the train would have been \( 6 \mathrm{km} / \mathrm{h} \) faster, it would have taken
4 hours less than the scheduled time.
And, if the train were slower by \( 6 \mathrm{km} / \mathrm{h} \)
it would have taken 6 hours more than
the scheduled time. Find the length of
the journey.
Subject: Physics
A ball of mass \( m \) moving with a speed
\( 2 v_{0} \) collides head-on with an identical
ball at rest. If \( e \) is the coefficient of
restitution, then what will be the ratio of velocity of two balls after collision?
A \( \cdot \frac{1-e}{1+e} \)
в. \( \frac{1+e}{1-e} \)
c. \( \frac{e-1}{e+1} \)
D. \( \frac{e+1}{e-1} \)
Subject: Physics
If the area of wing is \( 80 \mathrm{m}^{2} \), then the net
upward force is
A \( \cdot 2.35 \times 10^{3} \mathrm{N} \)
B . \( 0.56 \times 10^{4} \) N
c. \( 6.43 \times 10^{5} \) N
D. \( 1.17 \times 10^{6} \) N
Subject: Physics
The displacement of a body at a particular second \( n \) is given by the expression \( S_{n^{t h}}=u+\frac{a}{2}(2 n-1) . \) The
dimensional formula of \( S_{n^{t h}} \) in this
equation is
\( \mathbf{A} \cdot\left[M^{2} L^{0} T^{1}\right] \)
B \( \cdot\left[M^{0} L^{1} T^{0}\right] \)
\( \mathbf{c} \cdot\left[M^{0} L^{1} T^{-1}\right] \)
\( \mathbf{D} \cdot\left[M^{0} L^{0} T^{0}\right] \)
Subject: Physics
The displacement of a particle along the
\( x \) -axis is given by \( x=a \sin ^{2} \omega t . \) The
motion of the particle corresponds to.
A. simple harmonic motion of frequency \( \omega / \pi \)
B. Simple harmonic motion of frequency \( 3 \omega / 2 \pi \)
c. Non simple harmonic motion
D. Simple harmonic motion of frequency \( \omega / 2 \pi \)
Subject: Maths
The function \( f(x)=x^{2}+\frac{\lambda}{x} \) then:
A. minimum at \( x=2 \) if \( \lambda=16 \)
B. maximum at \( x=2 \) if \( \lambda=16 \)
c. maximum for no real value of \( \lambda \)
D. point of inflection at \( x=1 \) if \( \lambda=-1 \)
Subject: Physics
A body of mass \( m_{1} \) moving with an unknown velocity of \( v_{1} \hat{i}, \) undergoes a collinear collision with a body of mass \( m_{2} \) moving with a velocity \( v_{2} \hat{i} \). After
collision, \( m_{1} \) and \( m_{2} \) move with velocities of \( v_{3} \hat{i} \) and \( v_{4} \hat{i}, \) respectively. If
\( m_{2}=0.5 m_{1} \) and \( v_{3}=0.5 v_{1}, \) then \( v_{1} \) is :
A \( \cdot v_{4}-\frac{v_{2}}{4} \)
B. \( v_{4}-\frac{v_{2}}{2} \)
\( \mathbf{c} \cdot v_{4}-v_{2} \)
\( \mathbf{D} \cdot v_{4}+v_{2} \)
Subject: Chemistry
Assertion
Coupling of \( P h N H_{2} \) with aniline is
faster than with phenol.
Reason
Aniline is more \( \bar{e} \) donating than phenol.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
A tree increases annually by \( \frac{1}{8} \) th of its
height, By how much will it increase after 2 years, if it stands today \( 64 \mathrm{cm} \) high?
\( A \cdot 72 \mathrm{cm} \)
B. \( 74 \mathrm{cm} \)
c. \( 75 \mathrm{cm} \)
D. \( 81 \mathrm{cm} \)
Subject: Maths
The greatest value of \( f(x)=(x+1)^{\frac{1}{3}}- \)
\( (x-1)^{\frac{1}{3}} \) on [0,1] is
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D.
Subject: Chemistry
Assertion
\( O-O \) bond length in \( H_{2} O_{2} \) is shorter
than that of \( \boldsymbol{O}_{2} \boldsymbol{F}_{2} \)
Reason
\( H_{2} O_{2} \) is a covalent compound.
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
Wires \( A \) and \( B \) are made from the same
material. Wire A has length 12m and weight 50 g, while wire \( B \) is 18 m long and weighs 40 g. Then the ratio \( \left(R_{A} / R_{8}\right) \) of their resistances will be
\( A \cdot 16 / 45 \)
B. 415
\( c \cdot 8 / 15 \)
D. 419
Subject: Maths
The number of subsets \( \boldsymbol{R} \) of \( \boldsymbol{P}= \)
\( (1,2,3, \dots, 9) \) which satisfies the
property "There exit integers \( \mathbf{a} \in \mathbf{R}, \mathbf{b} \in \) \( \mathbf{R}, \mathbf{c} \in \mathbf{R}^{\prime \prime} \) is
A .512
в. 466
c. 467
D. None of these
Subject: Chemistry
Match the items of Column-I with its
proportional term in the items of
Column-II:
Column-I
(a) Kinetic energy
(p) Mole fraction
(b) Partial pressure of a
(q) Density
gas
(c) Rate of diffusion
(r) Molar mass
(d) Vapour pressure of a
(s) Absolute liquid \( \quad \) temperature
Subject: Maths
If \( \boldsymbol{\alpha}=\boldsymbol{2} \boldsymbol{t a n}^{-1}(\boldsymbol{2} \sqrt{\boldsymbol{2}}-\boldsymbol{1}) \) and \( \boldsymbol{\beta}= \)
\( 3 \sin ^{-1}(1 / 3)+\sin ^{-1}(3 / 5) \) then
\( \mathbf{A} \cdot \alpha<\beta \)
B . \( \alpha=\beta \)
c. \( \alpha>\beta \)
D. none of these
Subject: Maths
Find all real values of \( x \) such that
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{g}(\boldsymbol{x}) \) where \( \boldsymbol{f} \) and \( \boldsymbol{g} \) are
functions given by
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{3} \boldsymbol{x}+\sqrt{\boldsymbol{x}} \) and \( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{2} \boldsymbol{x}+\boldsymbol{6} \)
This question has multiple correct options
A .4
B. 9
\( c .3 \)
D. 6
Subject: Physics
An ideal dipole of dipole moment \( \vec{p} \) is placed in front of an uncharged conducting sphere of radius \( R \) as shown
A \( \cdot \) The potential at point \( A \) is \( \frac{K P}{(r-R)^{2}} \)
B. The potential at point A is \( \frac{K P}{r^{2}} \)
C the potential due to dipole at point B is \( \frac{K P}{(r+R)^{2}} \)
D. The potential due to dipole at point B is \( \frac{K}{r^{2}} \)
Subject: Chemistry
Two metals \( X \) and \( Y \) belong to the
second group of the periodic table. \( \boldsymbol{X} \) forms insoluble oxide but soluble
sulphate. \( Y \) forms a soluble oxide but
insoluble sulphate. The hydroxide of
metal \( X \) is soluble in \( N a O H \) while that
of metal \( Y \) is insoluble in \( N a O H . \) What
are metals \( X \) and \( Y ? \)
A. \( X=B e, Y=B a \)
в. \( X=M g, Y=C a \)
c. \( X=C a, Y=S r \)
D. \( X=B a, Y=M g \)
Subject: Physics
If a particle is thrown with velocity more than \( 10 m / s \) vertically upward, then the distance traveled by the particle in last second of its ascent is:
\( \mathbf{A} \cdot g \)
в. \( \frac{g}{2} \)
c. \( \frac{g}{4} \)
D. \( \frac{g}{8} \)
Subject: Maths
The nth term of the geometric
progression \( -3,6,-12,24 \dots \) is
A. \( -3(-2)^{n+1} \)
B. \( 3(-2)^{n-1} \)
c. \( -3(2)^{n-1} \)
D. \( -3(-2)^{n-1} \)
Subject: Maths
If \( y=\tan ^{-1}\left(\frac{1}{1+x+x^{2}}\right)+ \)
\( \tan ^{-1}\left(\frac{1}{x^{2}+3 x+2}\right)+ \)
\( \tan ^{-1}\left(\frac{1}{x^{2}+5 x+6}\right)+\ldots+ \) upto \( n \)
terms then \( \frac{d y}{d x} \) at \( x=0 \) and \( n=1 \) is
equal to
A \( \frac{1}{2} d \)
B. \( -\frac{1}{2} \)
\( c \)
\( D \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}\boldsymbol{x}^{2} & \boldsymbol{x}=\mathbf{2} \\ \frac{\boldsymbol{k}\left(\boldsymbol{x}^{2}-\boldsymbol{4}\right)}{\mathbf{2}-\boldsymbol{x}} & \boldsymbol{x} \in \boldsymbol{Z}-\mathbf{2}\end{array}\right. \)
then \( \lim _{x \rightarrow 2} f(x) \)
A. exists only when \( k=-1 \)
B. exits for every real \( k \)
C. Exits for every real k except \( k-1 \)
D. does not exits
Subject: Maths
\( \int_{0}^{a} x^{4}\left(a^{2}-x^{2}\right)^{1 / 2} d x \) equals
\( ^{A} \cdot \frac{\pi a^{5}}{32} \)
в. \( \frac{\pi a^{6}}{32} \)
c. \( \frac{\pi a^{2}}{32} \)
D. None of these
Subject: Chemistry
When the terminals of a cell of e.m.f. \( 1.5 v \)
are connected to an ammeter of
resistance \( 4 \Omega, \) the ammeter read 0.30
amp. which of the following statements
is/are correct?
This question has multiple correct options
A. The cell is non-ideal
B. If a \( 4 \Omega \) resistor is also connected across terminals of the cell, the ammeter will read 0.50 amp.
c. If a \( 4 \Omega \) resistor is also connected across terminals of the cell, one-third of the electrical power generated will dissipate as heat within the cell
D. If a voltmeter of resistance \( 4 \Omega \) is used to measure potential difference between terminals of the cell, it will read \( 1.2 \mathrm{v} \)
Subject: Chemistry
The correct IUPAC name is:
\[
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{C}(\mathrm{COOH}) \mathrm{CH}_{2} \mathrm{CH}_{3}
\]
A. 3 -carboxy- 2 -pentene
B. 2 -ethilidene butanoic acid
C. 2 -ethyl-2-butenoic acid
D. 3 -ethyl-2-buten-4-oic acid
Subject: Physics
Which of the following is correct?
A. The value of \( g \) is constant throughout
B. \( g \propto \frac{1}{r^{2}} \)
C \( . g \) is slightly less (by about \( 1 \% \) ) when distance \( <200 m \)
D. \( g \) is slightly greater when distance \( <200 m \)
Subject: Chemistry
Ethylene reacts with \( H B r \) to form \( ^{\prime} X \) When ' \( X^{\prime} \) is reacted with alcoholic
\( K O H,^{\prime} Y^{\prime} \) is formed. Here, ' \( X^{\prime} \) and ' \( Y^{\prime} \)
are :
A \( \cdot B r C H_{2}-C H_{2} B r \) and \( C_{2} H_{2} \)
B. \( C_{2} H_{5} B r \) and \( C_{2} H_{4} \)
c. \( C_{2} H_{5} B r \) and \( C_{6} H_{6} \)
D. \( C_{2} H_{3} B r_{3} \) and \( C_{2} H_{4} \)
Subject: Physics
A wheel of radius R rolls without
slipping on the ground with a uniform
velocity v. The relative acceleration of
the top most point ofthe wheel with
respect to the bottom most point is
\( \mathbf{A} \cdot \frac{v^{2}}{R} \)
B. \( \frac{2 v^{2}}{R} \)
c. \( \frac{v^{2}}{2 R} \)
D. \( \frac{4 v^{2}}{R} \)
Subject: Physics
The binding energy of \( _{17} C l^{35} \) nucleus is \( 298 \mathrm{MeV} . \) Find its atomic mass. The
mass of hydrogen atom \( \left(_{1} \boldsymbol{H}^{1}\right) \) is
1.008143 a.m.u. Given 1 a.m.u. \( =931 \)
\( \mathrm{MeV} \)
Subject: Maths
Let \( f: X \rightarrow Y \) be a function defined by
\[
f(x)=a \sin \left(x+\frac{\pi}{4}\right)+b \cos x+c \text { If }
\]
is both one-one and onto, then find the
\( \operatorname{sets} X \) and \( Y \)
A \( x \in\left[-\frac{\pi}{2}-\alpha, \frac{\pi}{2}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
в. \( X \in\left[-\frac{\pi}{1}-\alpha, \frac{\pi}{1}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
c. \( x \in\left[-\frac{\pi}{4}-\alpha, \frac{\pi}{4}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha= \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
D. \( X \in\left[-\frac{\pi}{8}-\alpha, \frac{\pi}{8}-\alpha\right] \) and \( Y \in[c-r, c+r] \) where \( \alpha= \)
\[
\tan ^{-1}\left(\frac{a+b \sqrt{2}}{a}\right) \text { and } r=\sqrt{a^{2}+\sqrt{2} a b+b^{2}}
\]
Subject: Maths
In \( \Delta A B C, \angle A=120, B C+C A=20 \)
\( A B+B C=21, \) then
\( \mathbf{A} \cdot A B>A C \)
B. AB
c. \( \triangle A B C \) is isosceles
D. Area of \( \Delta A B C=14 \sqrt{3} \)
Subject: Physics
Two coherent sources \( S_{1} \) and \( S_{2} \)
vibrating in phase emit light of wavelength \( \lambda \). The separation between them is \( 2 \lambda \) as shown in figure. The first bright fringe is formed at \( P \) due to
interference on a screen placed at a
distance \( D \) from \( S_{1}(D>>\lambda), \) then \( O P \)
is:
A \( \cdot \sqrt{2} D \)
в. \( 1.5 D \)
c. \( \sqrt{3} D \)
D. \( D \)
Subject: Maths
The solution of the differential equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\frac{\boldsymbol{\varphi}(\boldsymbol{y} / \boldsymbol{x})}{\boldsymbol{\varphi}^{\prime}(\boldsymbol{y} / \boldsymbol{x})} \) is :
A \( \cdot x \varphi\left(\frac{y}{x}\right)=k \)
в. \( k \varphi\left(\frac{y}{x}\right)=x \)
c. \( \operatorname{ky\varphi}\left(\frac{y}{x}\right)=y \)
D \( \cdot \varphi\left(\frac{y}{x}\right)=k y \)
Subject: Chemistry
Which of the following substances are crystalline allotrope of carbon?
(i) Diamond (ii) Charcoal (iii) Graphite
(iv) Lamp black (v) Coke (vi) Fullerene
A. (i) to (vi) all
B. (i), (ii) \& (iv)
\( c . \) (i), (iii) \& (vi)
D. (iv), (ii), (v)
Subject: Chemistry
\( \operatorname{acts} \) as the anode.
\( \mathbf{A} \cdot Z n(s) \)
B. \( C u^{2+}(a q) \)
\( \mathbf{c} \cdot Z n^{2+}(a q) \)
\( \mathbf{D} \cdot C u(s) \)
E \( . H_{2} O \)
Subject: Maths
If \( \frac{\sin x}{\sin y}=\frac{1}{2}, \frac{\cos x}{\cos y}=\frac{3}{2}, \) where \( x, y \in \)
\( \left(0, \frac{\pi}{2}\right), \) then the value of \( \tan (x+y) \) is
equal to:
A \( \cdot \sqrt{13} \)
B. \( \sqrt{14} \)
c. \( \sqrt{17} \)
D. \( \sqrt{15} \)
Subject: Chemistry
What is the number of mole of benzene
\( \left(P_{B}^{0}=150 \text { torrs }\right) \) per mole of toluene
\( \left(P_{T}^{0}=50 \text { tor } r s\right) \) in vapour phase if the
given solution has a vapour pressure of 120 torrs in equilibrium with its vapour?
\( A \cdot 7 \)
B. 8
c. 9
D. 10
Subject: Chemistry
Assertion
Electron affinity value of \( C l^{-} \) has negative value.
Reason
Electron affinity values of all uninegative ions are negative.
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
0.1 mole of \( N_{2} O_{4}(g) \) was sealed in a
tube under one atmosphere conditions
at \( 25^{\circ} \mathrm{C} \). Calculate the number of moles
of \( N O_{2}(g) \) present, if the equilibrium
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g)\left(K_{p}=0.14\right) \) is
reached after some time :-
A \( .1 .8 \times 10^{2} \)
B . \( 2.8 \times 10^{2} \)
c. 0.037
D. \( 2.8 \times 10^{-2} \)
Subject: Chemistry
Which one of the following species does not represent cationic species of vanadium formed in aqueous solution?
A \( \cdot V O_{2}^{+} \)
B. \( V O^{2+} \)
c. \( \left[V\left(H_{2} O\right)_{6}\right]^{3+} \)
D. \( V O_{2}^{2+} \)
Subject: Chemistry
Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the
following statements is incorrect?
A. Because of the large size of the \( \operatorname{Ln}( \) (II) ions the bonding in its compounds is predominantly ionic in character.
B. The ionic sizes of Ln
(III) decrease in general with increasing atomic number
c. \( \mathrm{Ln} \) (III) compounds are generally colourless
D. Ln (III) hydroxides are mainly basic in character
Subject: Physics
An object is kept at \( 60 \mathrm{cm} \) in front of a plane mirror. If the mirror is now moved
\( 25 \mathrm{cm} \) away from the object, how is the image shifted from its previous position?
A . \( 25 \mathrm{cm} \) away
B. \( 25 \mathrm{cm} \) towards
c. \( 50 \mathrm{cm} \) away
D. \( 50 \mathrm{cm} \) towards
Subject: Chemistry
Which of the following statements
is/are true?
This question has multiple correct options
A. It is impossible to satisfy the octet rule for all atoms in \( X e F_{2} \)
B. For ozone molecule, both the oxygen-oxygen bonds are of equal length.
C. The bond in \( N O^{+} \) should be stronger than the bond in
\( N O \)
D. For ozone molecule, one oxygen-oxygen bond is stronger than the other oxygen-oxygen bond.
Subject: Biology
(A) Fenestra
(B) Pedical
(C) Lacinia (D)
Flagellum, E) Gelea (F) Mentum (G) Palpifer (H) Cardo (I) Glossa
Which of the above is found in the first
pair of maxillae in the case of a
cockroach?
A. \( c, \) E G and
B. A, C, E and I
c. \( A, F, \) G and 1
D. B, E, G and I
Subject: Maths
The value of \( \mid \begin{array}{cc}\mathbf{2} & \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}+\boldsymbol{d} \\ \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}+\boldsymbol{d} & \boldsymbol{2}(\boldsymbol{a}+\boldsymbol{b})(\boldsymbol{c}+\boldsymbol{d}) \\ \boldsymbol{a} \boldsymbol{b}+\boldsymbol{c} \boldsymbol{d} & \boldsymbol{a} \boldsymbol{b}(\boldsymbol{c}+\boldsymbol{d})+\boldsymbol{c} \boldsymbol{d}(\boldsymbol{a}+\boldsymbol{b})\end{array} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c .-1 \)
D. None of these
Subject: Chemistry
\( \boldsymbol{A}_{(g)} \stackrel{\Delta}{\longrightarrow} \boldsymbol{P}_{(g)}+\boldsymbol{Q}_{(g)}+\boldsymbol{R}_{(g)}, \) follows first
order kinetics with a half life of \( 69.3 s \) at
\( \mathbf{5 0 0} \mathrm{K} . \) Starting from the \( \operatorname{gas}^{\prime} \boldsymbol{A}^{\prime} \)
enclosed in a container at \( 500 \mathrm{K} \) and at
a pressure of 0.4 atm, the total
pressure of the system after \( 230 s \) will
be:
A. 1.32 atm
B. 1.12 atm
c. 1.15 atm
D. 1.22 atm
Subject: Chemistry
At \( 25^{\circ} C, \) the total pressure of an ideal solution obtained by mixing 3 mole of \( A \) and 2 mole of \( \mathrm{B} \), is 184 torr. What is the
vapour pressure (in torr) of pure \( \mathrm{B} \) at the same temperature (Vapour pressure of
pure \( A \) at \( 25^{\circ} C \) is 200 torr.)?
A . 180
B. 160
\( c \cdot 16 \)
D. 100