AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In the electrolytic refining for aluminium extraction the electrolyte
used is:
A. fluorides of \( A l, N a \) and \( C a \)
в. \( A l(O H)_{3} \) in \( N a O H \) solution
c. an aqueous solution of \( A l_{2}\left(S O_{4}\right)_{3} \)
D. molten \( A l_{2} O_{3} \)
Subject: Maths
A washing machine was purchased 3 years ago for Rs 19,440 . Its value
depreciates at \( 16 \frac{2}{3} \% \) per annum. Calculate its value after 1 year
A . Rs. 11,\( 250 ; \) Rs. 9,375
B. Rs. 9,375; Rs. 11,250
c. Rs. 13,\( 500 ; \) Rs. 7,812
D. Rs. 7812; Rs. 13,500
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \) satisfies the property \( (\boldsymbol{x}- \)
\( \boldsymbol{y}) \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})-(\boldsymbol{x}+\boldsymbol{y}) \boldsymbol{f}(\boldsymbol{x}-\boldsymbol{y})= \)
\( 4 x y\left(x^{2}-y^{2}\right), f(1)=1, \) then the
number of real roots of \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{4} \) will be
A . 1
B . 2
\( c \cdot 3 \)
D.
Subject: Chemistry
If \( \Delta \mathrm{E} \) is the heat of reaction for
\( C_{2} H_{5} O H_{(l)}+3 O_{2(g)} \rightarrow 2 C O_{2(g)}+3 H_{2} O_{(l)} \) at
constant volume, the \( \Delta \mathrm{H} \) (Heat of
reaction at constant pressure) at constant temperature is:
A. \( \Delta \mathrm{H}=\Delta \mathrm{E}+2 \mathrm{RT} \)
B. \( \Delta \mathrm{H}=\Delta \mathrm{E} \) -2RT
c. \( \Delta \mathrm{H}=\Delta \mathrm{E}+\mathrm{RT} \)
D. \( \Delta \mathrm{H}=\Delta \mathrm{E}-\mathrm{RT} \)
Subject: Physics
An equilateral triangular conducting
frame is rotated with angular velocity \( \omega \)
in uniform magnetic field \( B \) as shown.
Side of triangle is \( l \). Choose the correct
options
This question has multiple correct options
A. \( V_{a}-V_{c}=0 \)
B. \( v_{a}-V_{c}=\frac{B \omega l^{2}}{2} \)
c. \( _{V_{a}-V_{b}}=\frac{B \omega l^{2}}{2} \)
D. \( V_{c}-V_{b}=-\frac{B \omega l^{2}}{2} \)
Subject: Maths
n fig, \( O \) is the centre of a circle \( A B= \)
\( \mathbf{1 6} \mathrm{cm}, \boldsymbol{C D}=\mathbf{1 4} \mathrm{cm}, \operatorname{seg} \boldsymbol{O} \boldsymbol{M} \perp \mathbf{s e g} \)
\( A B, \operatorname{seg} O N \perp \operatorname{seg} C D . \) If \( O M=6 \mathrm{cm} \)
then length of \( \operatorname{seg} O N \) is \( \sqrt{m} \mathrm{cm} . \) So, \( m \)
is
A \( . m=149 c m^{2} \)
В \( \cdot m=51 c m^{2} \)
\( \mathrm{c} \cdot m=51 \mathrm{cm} \)
D. \( m=149 \mathrm{cm} \)
Subject: Chemistry
In the quantitative analysis of the
second group in a laboratory, \( \boldsymbol{H}_{2} \boldsymbol{S} \) gas is passed in an acidic medium for
precipitation. When \( C u^{2+} \) and \( C d^{2+} \)
react with \( K C N, \) then for a product, the
true statement is:
A \( \cdot K_{2}\left[C u(C N)_{4}\right] \) more soluble
В - \( K_{2}\left[C d(C N)_{4}\right] \) less stable
c. \( K_{3}\left[C u(C N)_{2}\right] \) less stable
D. \( K_{2}\left[C d(C N)_{3}\right] \) more stable
Subject: Maths
The point which divides the line joining the points (1,3,4) and (4,3,1) internally in the ratio \( 2: 1, \) is
A. (2,-3,3)
в. (2,3,3)
c. \( \left(\frac{5}{2}, 3, \frac{5}{2}\right) \)
D. (-3,3,2)
E \( .(3,3,2) \)
Subject: Chemistry
In a first order reaction, the
concentration of the reactant,
decreases from \( 0.8 \mathrm{M} \) to \( 0.4 \mathrm{Min} 15 \)
minutes. The time taken for the
concentration to change from \( 0.1 \mathrm{M} \) to \( 0.025 \mathrm{M} \) is:
A. 30 min
B. 15 min
\( c .7 .5 \mathrm{min} \)
D. 60 min
Subject: Physics
Two cells of emf \( \boldsymbol{E}_{1} \) and \( \boldsymbol{E}_{2}\left(\boldsymbol{E}_{1}>\boldsymbol{E}_{2}\right) \)
are connected shown in figure. When a potentiometer is connected between \( \mathbf{A} \) and \( \mathrm{B} \), the balancing length of the
potentiometer wire is \( 300 \mathrm{cm} . \) On connecting the same potentiometer between \( A \) and \( C, \) the balancing length
is \( 100 \mathrm{cm} . \) The ratio \( E_{1} / E_{2} \) is
A . 3: 1
B. 1: 3
\( c \cdot 2: 3 \)
D. 3: 2
Subject: Maths
ff \( f(x+y)=f(x) \cdot f(y) \) for all \( x \) and \( y \)
and \( f(15)=2, f^{\prime}(0)=3, \) then \( f^{\prime}(5) \) will
be
A .2
B. 4
\( c \cdot 6 \)
D. 8
Subject: Chemistry
Assertion
All enzymes found in cells are invariably
proteins which catalyse biological reactions.
Reason
Enzymes act efficiently at a moderate
temperature and \( p H \)
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
If area of a long solenoid is doubled,length is trippled and no. of turns are remained contant.Then its
self-inductance will be changed how many times-
A \( \cdot 1 / 3 \)
в. \( 2 / 3 \)
\( c \cdot 1 / 9 \)
D. \( 4 / 3 \)
Subject: Maths
A line \( A B \) in three-dimensional space
males angles \( 45^{\circ} \) and \( 120^{\circ} \) with the
positive \( x \) -axis and the positive \( y \) -axis respectively. If \( A B \) makes an acute
angle \( \theta \) with the positive z-axis, then \( \theta \)
equal
A \( \cdot 45^{\circ} \)
В. \( 60^{\circ} \)
\( \mathrm{c} \cdot 75^{\circ} \)
D. \( 30^{\circ} \)
Subject: Maths
If the function \( \mathbf{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{ll}\frac{\sin 3 x}{x} & (x \neq 0) \\ \frac{k}{2} & (x=0)\end{array} \) is continuous at \right.
\( x=0, \) then \( k \) is:
\( A \cdot 3 \)
B. 6
\( c \cdot 9 \)
\( D \)
Subject: Chemistry
For which of the following solutes the
van't Hoff factor is not greater than one?
A. \( N a N O_{3} \)
в. \( B a C l_{2} \)
\( \mathbf{c} \cdot_{K_{4}}\left[F e(C N)_{6}\right] \)
D. \( N H_{2} C O N H_{2} \)
Subject: Maths
The differential equation of the family of lines which pass through (1,-1) is:
A \( \cdot y=(x+1) \frac{d y}{d x}+1 \)
B. \( y=(x+1) \frac{d y}{d x}-1 \)
c. \( y=(x-1) \frac{d y}{d x}+1 \)
D. \( y=(x-1) \frac{d y}{d x}-1 \)
Subject: Maths
\( A, B, \) and \( C \) are three points on a circle
with centre \( \boldsymbol{O} \) such that \( \boldsymbol{B O C}=\mathbf{3 0}^{\mathbf{o}} \)
and \( \angle A O B=60^{\circ} . \) If \( D \) is a point on the
circle other than the arc \( A B C \), find
\( \angle A D C \)
\( A \cdot 45 \)
В. 60
\( c \cdot 22.5^{\circ} \)
0.30
Subject: Maths
The points \( \boldsymbol{A}(\mathbf{1}, \mathbf{2},-\mathbf{1}), \boldsymbol{B}(\mathbf{2}, \mathbf{5},-\mathbf{2}), \boldsymbol{C}(\mathbf{4}, \mathbf{4},-\mathbf{3}) \)
and \( D(3,1,-2) \) are
A. collinear
B. vertices of a rectangle
c. vertices of a square
D. vertices of a rhombus
Subject: Chemistry
An organic compound contains carbon, hydrogen and oxygen. Its elemental analysis gave \( C=38.71 \% \) and
\( \boldsymbol{H}, \boldsymbol{9 . 6 7 \%} \) and \( \boldsymbol{O}=\mathbf{5 1 . 6 2 \%} . \) The
empirical formula of the compound would be:
A \( . C H O \)
в. \( C H_{4} \) О
c. \( C H_{3} O \)
D. \( C H_{2} O \)
Subject: Maths
The coordinates of a point \( \mathrm{P} \) are (3,12,4) w.r.t origin \( 0, \) then the direction cosines of \( O P \) are
\( \mathbf{A} \cdot 3,12,4 \)
B. \( \frac{1}{4}, \frac{1}{3}, \frac{1}{2} \)
c. \( \frac{3}{\sqrt{13}}, \frac{1}{\sqrt{13}}, \frac{2}{\sqrt{13}} \)
D. \( \frac{3}{13}, \frac{12}{13}, \frac{4}{13} \)
Subject: Maths
Simplify: \( \frac{\boldsymbol{f}^{2}}{\boldsymbol{g}}-\boldsymbol{f} \)
A. \( \frac{f}{g}(f+g) \)
в. \( f\left(\frac{f}{g}+f\right) \)
c. \( \quad f^{2}\left(\frac{1}{g}-\frac{1}{f}\right) \)
D. \( f^{2}\left(\frac{1}{g}+1\right) \)
Subject: Physics
Suppose a ball of mass \( \mathrm{m} \) is thrown vertically upward with an initial speed \( v \) Its speed decreases continuously till it becomes zero. Thereafter, the ball begins to fall downward and attains the speed v again before striking the ground. It implies that the magnitude of initial and final momentums of the ball
are same. Is this an example of conservation of momentum?
A. Yes
B. No
c. Sometimes
D. None of these
Subject: Physics
During burning of a candle, different zones of combustion in the flame are
listed below:
A. outermost zone
B. innermost zone
C. middle zone
The correct order of temperature of
zones is :
A. \( A>B>C \)
в. \( C>B>A \)
c. \( B>C>A \)
D. \( A>C>B \)
Subject: Physics
The pressure inside a soap bubble of
radius \( 1 c m \) balances \( 1 m m \) of a column
of oil of specific gravity \( 0.8 . \) If the surface tension of the soap solution (in \( N / m \) ) is \( \mathbf{T}=\mathbf{n} \times \mathbf{1 0}^{-2}, \) find \( n . \) (Take
acceleration due to gravity to be
\( \left.10 m / s^{2}\right) \)
Subject: Physics
Solar radiation emitted by the sun resembles that emitted by a black body at a temperature of 6000 K. Maximum intensity is emitted at a wavelength of
about \( 4800 A^{\circ} \). If the sun were to cool
down from \( 6000 K \) to \( 3000 K \), then
the peak intensity would occur at a wavelength of:
A .4800 A
B. 96000 \( ^{\text {? }} \)
c. \( 2400 A^{\circ} \)
D. 19200 A
Subject: Physics
A collimated beam of light of flux
density \( 3 k W m^{-2} \) is incident normally
on a \( 100 m m^{2} \) completely absorbing screen. If \( P \) is the pressure exerted on the screen and \( \Delta p \) is the momentum transferred to the screen during a 1000 s interval, then
This question has multiple correct options
A. \( P=10^{-3} N m^{-2} \)
В. \( P=10^{-4} N m^{-2} \)
c. \( \Delta p=10^{-4} \)Kgms\( ^{-} \)
D. \( \Delta p=10^{-5} \mathrm{Kgms}^{-1} \)
Subject: Physics
A body starts from the rest with uniform acceleration. If its displacement in the
3rd seconds and 7th second are \( x_{1} \) and
\( \boldsymbol{x}_{2}, \) then:
A. \( 13 x_{1}=5 x_{2} \)
В. \( 5 x_{1}=13 x_{2} \)
c. \( 3 x_{1}=7 x_{2} \)
D. \( 7 x_{1}=3 x_{2} \)
Subject: Physics
The mean lives of a radioactive material
for \( \alpha \) and \( \beta \) radiations are 1620 years
and 520 years respectively. The material decays simultaneously for \( \alpha \) and \( \beta \) radiations.The time after which
one fourth of the material
remains undecayed is
A. 546 years
B. 324 years
c. 720 years
D. 840 years
Subject: Chemistry
Calculate the heat needed to raise the
temperature of \( 20 g \) iron from \( 25^{\circ} C \) to
\( 500^{\circ} \mathrm{C}, \) if specific heat capacity of iron is \( 0.45 J K^{-1} g^{-1} \)
\( \mathbf{A} \cdot 6732 J \)
в. \( 225 . J \)
c. \( 15.66 . \)
D. 2250J
Subject: Chemistry
Select the pairs(s) in which bond angle of first member is higher than second
one.
A. \( B r O_{3}^{-}, C l O_{3} \)
B. \( A s I_{3}, S b I_{3} \)
c. \( S b B r_{3}, S b I_{3} \)
D. \( N F_{3}, N H_{3} \)
Subject: Maths
A point on the parabola \( y^{2}=18 x \) at which the ordinate increases at twice
the rate of the abscissa is:
в. (2,-4)
c. \( \left(\frac{-9}{8}, \frac{9}{2}\right) \)
D. \( \left(\frac{9}{8}, \frac{9}{2}\right) \)
Subject: Biology
Assertion
The main plant body of bryophytes is gametophyte.
Reason
Alternation of generation is absent in bryophytes
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
Q Type your question
columns each of length \( l \), cross
sectional radius \( r \) and young's
modulus \( Y \). What should be the
minimum cross - section radius \( r, \) so
that the beam bearing more load, can
escape from buckling?
\( \left(\frac{m g l^{2}}{\pi^{3} Y}\right)^{1 / 4} \)
\( ^{\mathrm{B}}\left(\frac{2 m g l^{2}}{3 \pi^{3} Y}\right)^{1 / 4} \)
\( \left(\frac{m g l^{2}}{3 \pi^{3} Y}\right)^{1 / 4} \)
\( \left(\frac{3 m g l^{2}}{2 \pi^{3} Y}\right)^{1 / 4} \)
Subject: Chemistry
If \( E_{1}, E_{2} \) and \( E_{3} \) represent respectively the kinetic energies of an electron, an alpha particle and a proton each having same de Broglie wavelength then:
A. \( E_{1}>E_{3}>E_{2} \)
в. \( E_{2}>E_{3}>E_{1} \)
c. \( E_{1}>E_{2}>E_{3} \)
D. \( E_{1}=E_{2}=E_{3} \)
Subject: Biology
Match the column and select the
correct option from the following.
\( \begin{array}{llll} & \text { List I } & & \text { List II } \\ \text { A } & \text { Anomocytic } & 1 & \text { Parallel } \\ \text { B } & \text { Anisocytic } & 2 & \text { cross } \\ \text { C } & \text { Diacytic } & 3 & \text { Unequal } \\ \text { D } & \text { Paracytic } & 4 & \text { Irregular }\end{array} \)
A \( \cdot A-4, B-3, C-2, D-1 \)
B. A- \( 4, \) B- \( 2, \) C- \( 3, \) D-
c. \( A-4, B-3, C-1, D-2 \)
D. A- 3, B- 4, C- 2, D-
Subject: Maths
The principal value of \( \sin ^{-1} x \) lies in the
interval
A \( \cdot\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
B. \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
c. \( \left[0, \frac{\pi}{2}\right] \)
D. \( [0, \pi] \)
Subject: Physics
A parallel plate capacitor is filled by a di-electric whose relative permitivity varies with the applied voltage according to the law \( =\alpha V \), where \( \alpha=1 \)
per volt. The same (but containing no dielectric) capacitor charged to a voltage \( V=156 \) volt is connected in parallel to
the first "non-linear" uncharged capacitor. Determine the final voltage (in volts) \( V_{f} \) across the capacitors.
Subject: Chemistry
Which of the following is(are) true
statement(s)?
Consider the following reaction
\[
\mathrm{CH}_{2}=\stackrel{\mathrm{CH}_{3}}{\mathrm{C}-\mathrm{CH}_{2}} \stackrel{\mathrm{CH}_{3}}{\mathrm{CH}-\mathrm{CH}_{2} \mathrm{OH}} \frac{\mathrm{H}_{2} \mathrm{SO}_{4}}{\longrightarrow} \underbrace{\mathrm{CH}_{3}}_{\mathrm{CH}_{3}}
\]
This question has multiple correct options
A. Reaction is initiated by protonation of \( -O H \) followed by formation of carbocation intermediate
B. Reaction is initiated at \( C=C \) bond forming a tertiary carbocation
C. Here intramolecular reaction is favoured by entropy of reaction
D. The same reaction can also be done using \( N a O H \) catalyst
Subject: Chemistry
In which of the following reactions,
\( H_{2} O_{2} \) acts as a reducing reagent?
A \( \cdot P b O_{2(s)}+H_{2} O_{2(a g)} \rightarrow P b O_{(s)}+H_{2} O_{(i)}+O_{2(g)} \)
B. \( N a_{2} S O_{3(a g)}+H_{2} O_{2(a g)} \rightarrow N a_{2} S O_{4(a g)}+H_{2} O_{(i)} \)
C \( \cdot 2 K I_{(a)}+H_{2} O_{2(a)} \rightarrow 2 K O H_{(a q)}+I_{2(s)} \)
D. All the above
Subject: Physics
Assertion
Falling raindrops acquire a terminal
velocity.
Reason
A constant force in the direction of
motion and a velocity dependent force
opposite to the direction of motion,
never results in the acquisition of
terminal velocity.
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
Take a glass and fill it up with water up to the brim. Make sure that there are no
air bubbles. Take a thick, stiff piece of
cardboard and put it over the glass.
Place your hand over the card and
quickly turn the glass upside down. Now slowly remove your hand.
What does this experiment show?
A. Air occupies space.
B. Air exerts pressure
C. Air has weight
D. All of these
Subject: Maths
The value of \( \int_{0}^{1} \frac{\log x}{1+x} d x \) equals This question has multiple correct options
A \( \cdot \frac{\alpha^{2}}{12} \)
\( ^{\mathbf{B}}-\int_{0}^{1} \frac{\log (1+x)}{x} \)
\( \mathbf{C} \cdot-\frac{\pi^{2}}{12} \)
D. None of these
Subject: Chemistry
Atomic orbitals involved in
hybridization of \( S F_{6} \) molecule:
B . \( 3 s, 3 p_{x}, 3 p_{y}, 3 p_{z}, 3 d_{z} \)
\( \mathbf{c} \cdot 4 s, 4 p_{x}, 4 p_{y}, 4 p_{z}, 3 d_{x^{2}-y^{2}}, d_{x y} \)
D. \( 3 s, 3 p_{x}, 3 p_{y}, 3 d_{x y}, 3 d_{d z}, 3 d_{x z} \)
Subject: Physics
Four charges \( 1 \mathrm{mc}, 2 \mathrm{mc}, 3 \mathrm{mc}, \ldots 6 \mathrm{mc} \)
are placed on at corner of a square of
side \( 1 \mathrm{m} . \) The square lies in \( \mathrm{XY} \) plane with its centre at origin
A. The electric potential at origin at origin
B. The electric potential is zero every where along \( x \) axis
c. The electric potential is not zero along z-axis
D. The electric potential is zero along Z- axis for any orientation of square in \( \mathrm{XY} \) plane
Subject: Maths
If the points \( A, B, C, D \) are collinear and \( C, D \) divide \( A B \) in the ratios 2:
3,-2: 3 respectively, then the ratio in
which \( A \) divides \( C D \) is
A . 5: 1
B. 2: 3
c. 3: 2
D. 1: 5
Subject: Physics
Ratio of the currents \( I_{1} \) and \( I_{2} \) flowing
through the circular and straight parts
is
A \( \cdot \frac{\sqrt{3}}{2 \pi} \)
B. \( \frac{2 \sqrt{3}}{5} \)
\( c \cdot \frac{3 \sqrt{3}}{2 \pi} \)
D. \( \frac{3 \sqrt{3}}{2 \sqrt{2} \pi} \)
Subject: Chemistry
In the reaction; \( \boldsymbol{A}+\mathbf{2} \boldsymbol{B} \rightarrow \mathbf{3} \boldsymbol{C}+\boldsymbol{D} \)
which of the following expression does not describe changes in the concentration of various species as a function of time?
A \( \cdot\{d[C] / d t\}=-\{3 d[A] / d t\} \)
B . \( \{3 d[D] / d t\}=\{d[C] / d t\} \)
c. \( \{3 d[B] / d t\}=-\{2 d[C] / d t\} \)
D . \( \{2 d[B] / d t\}=-\{d[A] / d t\} \)
Subject: Maths
If by selling 110 mangoes, the \( \mathrm{CP} \) of 120 mangoes is realised, the gain per cent is
A \( \cdot_{9} \frac{1}{11} \% \)
в. \( 9 \frac{1}{9} \% \)
\( \mathrm{c} \cdot_{10} \frac{10}{11} \% \)
D. \( 11 \frac{1}{9} \% \)
Subject: Maths
If \( \alpha \) and \( \beta \) are different complex
numbers with \( |\boldsymbol{\alpha}|=1, \) then what is
\( \left|\frac{\boldsymbol{\alpha}-\boldsymbol{\beta}}{\mathbf{1}-\boldsymbol{\alpha} \overline{\boldsymbol{\beta}}}\right| \) equal to?
\( \mathbf{A} \cdot|\beta| \)
B. 2
\( c . \)
D.
Subject: Maths
If the difference between the
circumference and radius of a circle is
\( 37 \mathrm{cm}, \) then the area of the circle is
\( A \cdot 111 \mathrm{cm}^{2} \)
B. \( 148 \mathrm{cm}^{2} \)
\( c \cdot 259 \mathrm{cm}^{2} \)
D. \( 154 \mathrm{cm}^{2} \)
Subject: Chemistry
A system of \( 100 k g \) mass undergoes a process in which its specific entropy
increases from \( 0.3 k J g^{-1} K^{-1} \) to
\( 0.4 k J g^{-1} K^{-1} . \) At the same time, the entropy of the surrounding decreases from \( 80 k J K^{-1} \) to \( 75 k J K^{-1} . \) Find the
\( (\Delta S)_{\text {universe}} \) in \( k J K^{-1} \)
Subject: Physics
Two batteries of emf \( 3 V \) and \( 6 V \) with
internal resistance \( 2 \Omega \) and \( 4 \Omega \) are
connected in a circuit with resistance
of \( 10 \Omega \) as shown in figure. The current and potential difference between the
points \( P \) and \( Q \) are
A \( \cdot \frac{3}{16} A \) and \( \frac{8}{15} V \)
B \( \cdot \frac{16}{3} A \) and \( \frac{15}{8} V \)
c. \( \frac{3}{16} A \) and \( 8 V \)
D. \( \frac{3}{16} A \) and \( \frac{15}{8} V \)
Subject: Chemistry
Heat of reaction for the change \( Z n+ \)
\( \boldsymbol{C u}^{2+}(\mathbf{0 . 1} \boldsymbol{M}) \rightarrow \boldsymbol{Z} \boldsymbol{n}^{2+}(\mathbf{1} \boldsymbol{M})+\boldsymbol{C u} \mathbf{a t} \)
\( 27^{\circ} C \) is:
A. \( -2.17 \times 10^{5} \mathrm{J} \)
В. \( -2.29 \times 10^{5} \mathrm{J} \)
c. \( -2.24 \times 10^{5} J \)
D. \( -1.84 \times 10^{5} \mathrm{J} \)
Subject: Maths
Let \( \boldsymbol{u}=(\mathbf{1},-\mathbf{2}, \mathbf{3}) \) and \( \boldsymbol{v}=(\mathbf{4}, \mathbf{5},-\mathbf{1}) \)
find \( \boldsymbol{u} \cdot \boldsymbol{v} \)
Subject: Chemistry
Calculate the molarity and molality of \( 20 \% \) aqueous ethanol \( \left(C_{2} H_{5} O H\right) \)
solution by volume. (Density of solution \( =0.96 \mathrm{g} / \mathrm{mL}) \)
A. Molarity \( =3.48 \), Molality \( =4.35 \)
B. Molarity = 4.35, Molality = 3.48
C. Molarity \( =4.48 \), Molality \( =3.35 \)
D. None of the above
Subject: Maths
Coordinates of a point at unit distance from the lines \( 3 x-4 y+1=0 \) and
\( 8 x+6 y+1=0 \) are
This question has multiple correct options
\( ^{A} \cdot\left(\frac{6}{5},-\frac{1}{10}\right) \)
в. \( \left(-\frac{2}{5},-\frac{13}{10}\right) \)
c. \( \left(0, \frac{3}{2}\right) \)
D. \( \left(-\frac{8}{5}, \frac{3}{10}\right) \)
Subject: Chemistry
Predict the product
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C N}+\boldsymbol{H}_{2} / \boldsymbol{N i} \rightarrow ? \)
A \( \cdot C H_{3}-C H_{2}-C H_{2}-N H_{2} \)
в. \( C H_{3}-C H_{2}-N H_{2} \)
\( c . \) both a and \( b \)
D. none of these
Subject: Physics
Match the columns:
¡)visual aids \( \quad \) a)used for minor eye
defect or partial blindness.
ii)electronic aids \( \quad \) b) includes
cassettes,tape recorders,talking books.
iii)auditory aids c)used for people having little vision iv)optical aids
d)available for
performing computational tasks.
\( A \). i-b,ii-diii-a,iv-c
B. i-d,ii-a,iii-c,iv-b
c. i-c,ii-d,iii-b,iv-a
D. i-a,ii-c,iii-d,iv-b
Subject: Chemistry
The states of hybridisation of boron and
oxygen atoms in boric acid \( \left(\mathbf{H}_{3} \mathbf{B O}_{3}\right) \) are respectively:
A. sp and sp \( ^{2} \)
B. \( s p^{2} \) and \( s p^{3} \)
c. sp 3 and \( s p^{2} \)
D. sp3 and sp3
Subject: Physics
A car is turning along a horizontal
circular road.The centripetal force in
this case is
A. \( F_{1} \) provided by the friction between the tyres and the road
B. \( F_{g} \) the weight of the car and the persons sitting in the
car
C. \( F_{N} \) the normal reaction force on the car due to the
road
D. \( F_{g}-F_{N} \), the difference of weight and the normal reaction
Subject: Chemistry
The rate of the reaction \( \boldsymbol{H}_{2}(\boldsymbol{g})+ \)
\( B r_{2}(g) \rightarrow 2 H B r(g) \) is given by:
\( \boldsymbol{r}=\boldsymbol{k}\left[\boldsymbol{H}_{2}\right]\left[\boldsymbol{B} \boldsymbol{r}_{2}\right]^{1 / 2} \)
Which among the following is correct?
A. Order of reaction is 2
B. Molecularity of reaction is 2
c. order of reaction is 1.5
D. Molecularity of reaction is 2.5
Subject: Physics
In a H-atom, an electron is in \( 2^{n d} \) excited state and its radius \( =4.75 \AA \)
Calculate de-broglie wavelength of the electron.
A \( \cdot \frac{8.5 \pi}{4} \)
B. 0
с. \( \frac{19 \pi}{3} \),
D. \( \frac{9.5 \pi}{3} \)
Subject: Maths
The set of real values of \( x \) satisfying the equality \( \left[\frac{\mathbf{3}}{\boldsymbol{x}}\right]+\left[\frac{\mathbf{4}}{\boldsymbol{x}}\right]=\mathbf{5} \) (where [.]
denotes the greatest integer function) belongs to the interval \( \left(a, \frac{b}{c}\right] \) where \( \boldsymbol{b} \)
\( a, b, c \in N \) and \( - \) is in its lowest form. \( \boldsymbol{c} \)
Find the value of \( a+b+c+a b c \)
A . 25
B . 18
c. 20
D. 10
Subject: Chemistry
Statement 1: Atom \( A \) with 7 valence
electrons forms \( A B, \) with atom \( B \) with
two valence electrons.

Statement \( 2: B \) donates its electrons to
fill the outer shell of \( \boldsymbol{A} \)
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
Subject: Biology
This is a flagellate protist.
Justify it to be a connecting link
between plants and animals.
A. A suggest animal nature and B and C depicts plant nature
B. B suggests animal nature and A and C depicts plant nature
C. \( \mathrm{C} \) suggests animal nature and \( \mathrm{A} \) and \( \mathrm{B} \) depicts plant nature
D' C suggests animal nature and B depicts plant
Subject: Chemistry
Select the correct statement(s).
This question has multiple correct options
A. Passage of sulphur dioxide or of hydrogen sulphide (not in excess) in to a solution of an iodate acidified with dilute hydrochloric acid, liberates iodine
B. Phosphate rock, \( C a_{3}\left(P O_{4}\right)_{2} \) on heating with sand and coke in electric furance at \( 1400-1500^{\circ} \mathrm{C} \) yields
dimeric phosphorus pentaoxide
C. Reaction of \( H_{2} S \) on aqueous solution of sodium sulphite yields sodium thiosulphate
D. Sodium hypophosphite on warming with copper sulphate solution gives red precipitate of copper (I) hydride