AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
rove: \( (\overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}}) \times(\overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}})=2(\overrightarrow{\boldsymbol{A}} \times \overrightarrow{\boldsymbol{B}}) \)
Subject: Physics
A dip of needle shows a dip of \( \delta \) when placed in magnetic meridian. Now, the vertical plane in which the needle
moves is rotated by an angle \( \alpha\left(<90^{0}\right) \)
from the place of the magnetic meridian. With what angle the needle
will dip
\( A \cdot<\delta \)
B. \( >\delta \)
\( c .=\delta \)
D. cant be determined
Subject: Physics
When a body is projected vertically up from the ground its velocity is reduced to \( \frac{1}{4} \) th of its velocity at ground at height
h. Then the maximum height reached
by the body is
A \( \cdot \frac{15}{32} h \)
в. \( \frac{15}{16} h \)
c. \( \frac{15}{8} h \)
D. \( \frac{5}{4} h \)
Subject: Maths
Assertion
If \( A \) and \( B \) are two \( 3 \times 3 \) matrices such
that \( A B=0, \) then \( A=0 \) or \( B=0 \)
Reason
If \( A, B \) and \( X \) are three \( 3 \times 3 \) matrices
such that \( \boldsymbol{A} \boldsymbol{X}=\boldsymbol{B},|\boldsymbol{A}| \neq \mathbf{0}, \) then \( \boldsymbol{X}= \)
\( A^{-1} B \)
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 equivalent inductance of two inductor is \( 2.4 m H \) when connected in
parallel and \( 10 m H \) when connected in
series. The difference between two
inductance is (neglecting mutual induction between coils)
\( \mathbf{A} \cdot 3 m H \)
в. \( 2 m H \)
\( \mathrm{c} .4 \mathrm{mH} \)
D. \( 16 m H \)
Subject: Chemistry
Which is the correct order of increasing ionic nature of following molecules?
I. \( L i F \)
Il. \( C l F_{3} \)
III. \( \boldsymbol{K}_{2} \boldsymbol{O} \)
IV. \( \boldsymbol{S O}_{2} \)
\( A \cdot||<|<| V<\| \)
B. II<IV<I<III
c. Ik IV<IIISI
Subject: Physics
\( \mathrm{A} 50 \mathrm{Hz}, 20 \mathrm{V} \mathrm{AC} \) source is connected
\( \operatorname{across} R \) series circuit as shown in Figure
If the voltage across \( R \) is \( 12 \mathrm{V} \) then
voltage across capacitor is
\( A \cdot 8 V \)
B. \( 16 \mathrm{V} \)
c. \( 10 \mathrm{V} \)
D. cannot be predicted as values of \( \mathrm{R} \) and \( \mathrm{C} \) are not given.
Subject: Physics
Two glass bulbs of volumes \( 500 \mathrm{cm}^{3} \)
and \( 200 \mathrm{cm}^{3} \) are connected with a narrow
tube. Both of them are filled with air at
70mm of \( \mathrm{Hg} \) and at \( 17^{\circ} \mathrm{C} \) and sealed. The
bulb of small volume is kept in ice and the other with larger volume is kept in steam. Then find the pressure of the gas in the bulb.
A. \( 51 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. 200cm of Hg
c. 873mm of Hg
D. 200m of Hg
Subject: Maths
Find the range if \( [2 \sin x]+[\cos x]= \)
\( -3, \) then the range of the function
\( f(x)=\sin x+\sqrt{3} \cos x \) in \( [0,2 \pi] \)
(where [.] denotes the greatest integer function)
A \( \cdot(2,-1) \)
B \( \cdot\left(-1,-\frac{1}{2}\right) \)
\( \mathbf{c} \cdot(-2,-1) \)
D. None of these
Subject: Maths
A cell phone tower has a safety light and it blinks once in every 2.5 seconds to warn airplanes of its location. If \( f(\boldsymbol{m}) \) is the total number of times this light blinks in \( m \) minutes, then \( f(m) \) is defined by
A. \( f(m)=2.5 m \)
B. \( f(m)=\frac{3.5 m}{60} \)
\( \mathrm{c} \cdot f(m)=\frac{60 m}{2.5} \)
D. \( f(m)=210 m \)
Subject: Physics
The electric field outside the plates of
two oppositely charged plane sheets of charge density \( \sigma \) is :
A \( \cdot+\frac{\sigma}{2 \varepsilon_{0}} \)
В. \( -\frac{\sigma}{2 \varepsilon_{0}} \)
c. zero
D. \( \frac{\sigma}{\varepsilon_{0}} \)
Subject: Chemistry
The ionization constant of a weak acid
is \( 1.6 \times 10^{-5} \) and the molar
conductivity at infinite dilution is \( 380 \times 10^{-4} S m^{2} m o l^{-1} . \) If the cell
constant is \( 0.01 \mathrm{m}^{-1} \) then conductance
of \( 0.01 M \) acid solution is:
A \( \cdot 1.52 \times 10^{-5} \mathrm{S} \)
в. \( 1.52 \times 10^{-7} \) S
c. \( 1.52 \times 10^{-3} \) S
D. \( 1.52 \times 10^{-4} \) S
Subject: Chemistry
Choose the correct statement(s).
This question has multiple correct options
A. Chlorine has two complete electron shells before its valence shell.
B. Bromine is solid at room temperature.
C. Chlorine has the third highest electro-negativity value in the periodic table.
D. lodine has the lowest ionisation energy among the halogens (consider \( F, C I, B r, 1) \)
Subject: Chemistry
Assertion
Simple distillation can help in separating a mixture of propan-1-ol
(boiling point \( 97^{\circ} \mathrm{C} \) ) and propanone
(boiling point \( 56^{\circ} C \) )
Reason
Liquids with a difference of more than
\( 20^{\circ} \mathrm{C} \) in their boiling points can be
separated by simple distillation.
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
Q Type your question-
Given \( : \boldsymbol{E}_{\boldsymbol{L i} \oplus \mid \boldsymbol{L} i}^{\ominus}=-\mathbf{3 . 0 5} \boldsymbol{V} \)
\[
\begin{array}{l}
\boldsymbol{E}_{N a \oplus \mid N a}^{\ominus}=-2.71 V \\
\boldsymbol{E}_{\boldsymbol{K}^{\oplus} \mid \boldsymbol{K}}^{\ominus}=-\mathbf{2 . 9 3} \boldsymbol{V}
\end{array}
\]
Alkali metals react with water
according to the following reaction \( (\mathrm{M}= \) Alkali metals):
\[
\mathbf{2} \boldsymbol{M}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \mathbf{2} \boldsymbol{M} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}_{2}
\]
It is found that Li reacts gently with
water, whereas K reacts violenly with
water.
Statements
\( \Delta G \) values have nothing to do with kinetics of the reaction.
The metal having large standard oxidation potential will have lesseer reactivity

Potassium (K) has low melting point and heat of reaction which is sufficient to make it melt or even vapourize. This leads to expotential increase in its surface area.
The ionization potential of \( K \) is
d. smaller than that of Li.
Subject: Physics
A point moves in a straight line under the retardation \( -\mathrm{kv}, \) where \( \mathrm{k} \) is a constant. If the initial velocity is \( u, \) the
distance covered in 't' seconds is?
A \( \cdot \frac{u}{k}\left(1-e^{-k t}\right) \)
B. \( \frac{u}{k}\left(1+e^{-k t}\right) \)
c. \( \frac{u}{k}\left(1-e^{k t}\right) \)
D \( \cdot \frac{u}{k}\left(1+e^{k t}\right) \)
Subject: Biology
A lake near village suffered heavy mortality of fishes within a few days. Consider the following reasons for this.
(i) Lots of urea and phosphate fertiliser were used in the crops in the vicinity.
(ii) The area was sprayed with DDT by an aircraft.
(iii) The lake turned green and stinky.
(iv) Phytoplankton population in the lake declined initially thereby greatly reducing photosynthesis. Which two of the above were the main
causes of fish mortality in the lake?
A . (i), (ii)
B. (ii), (iii)
\( c . \) (iii), (iv)
D. (i), (iii)
Subject: Chemistry
How many gram of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) would be needed to neutralise 100 gm of
\( M g(O H)_{2} ? \)
A. \( 66.7 \mathrm{gm} \)
B. 252 gm
c. \( 112.6 \mathrm{gm} \)
D. 168 gm
Subject: Physics
A ball is thrown upwards with a velocity of \( 25 m / s . \) What is the time taken by the
ball to return to the thrower \( (g= \)
\( \left.10 m / s^{2}\right) \)
A . 5 sec
B. 2.5 sec
\( c .3 s e c \)
D. 4.2 sec
Subject: Chemistry
\( H_{2} O \) is polar, whereas \( B e F_{2} \) is not
because:
A. electronegativity of F is greater than that of 0
B. \( H_{2} O \) involves H-bonding , whereas \( B e F_{2} \) is a discrete molecule
c. \( H_{2} O \) is angular and \( B e F_{2} \) is linear
D. \( H_{2} O \) is linear and \( B e F_{2} \) is angular.
Subject: Chemistry
What are the products obtained from the reaction given below? MeOEt \( \stackrel{H I}{\longrightarrow} ? \)
A . \( M e I \) and \( E t O H \)
B. \( M e O H \) and \( E t I \)
c. \( M e I, M e O H, E t I \) and \( E t O H \)
D. None of the above
Subject: Physics
Which word equation represents \( \boldsymbol{\beta}^{+} \)
decay?
A. Proton \( \rightarrow \) neutron \( + \) electron \( + \) electron antineutrino
B. Proton \( \rightarrow \) neutron \( + \) electron \( + \) electron neutrino
c. Proton \( \rightarrow \) neutron \( + \) positron \( + \) electron antineutrino
D. Proton \( \rightarrow \) neutron \( + \) positron \( + \) electron neutrino
Subject: Physics
Two parallel rail tracks run north-south.
Train \( A \) moves north with a speed of
\( 54 k m h^{-1} \) and train \( B \) moves south
with a speed of \( 90 \mathrm{kmh}^{-1} \). The relative
speed of \( B \) with respect to \( A \) is:
\( \mathbf{A} \cdot 40 \mathrm{ms}^{-1} \) (towards north)
B. \( 40 \mathrm{ms}^{-1} \) (towards south)
C \( .10 \mathrm{ms}^{-1} \) (towards north)
D. \( 10 \mathrm{ms}^{-1} \) (towards south)
Subject: Chemistry
Assertion
PhCOCOCOPh forms stable hydrate.
Reason
The compound in the hydrate from has intramolecular H-bonding.
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 incorrect but Reason is correct
D. Both Assertion and Reason are correct
Subject: Physics
\( m \) onto a spring of spring constant 800
N/m as shown in the figure. A frictional
force equivalent to 0.4 kgwt acts on the
body. The speed of the body just before
striking the spring will be (Take \( \boldsymbol{g}= \)
\( \left.10 m / s^{2}\right) \)
\( A \cdot 1 \mathrm{m} / \mathrm{s} \)
B. 2 m/s
\( c \cdot 3 m / s \)
D. \( 4 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A direct-vision prism is made out of
three prisms, each with a refracting
angle of \( \phi=60^{\circ}, \) attached to each other
as shown in Fig. Light of a certain
wavelength is incident on the first
prism. The angle of incidence is \( 30^{\circ} \) and
the ray leaves the third prism parallel to
the direction of incidence. The refractive
index of the glass of the first and third
prisms is \( 1.5 . \) Find the refractive index of the material of the middle prism.
\( (\sqrt{6}=2.45) \)
Subject: Maths
If the first three terms in the expansion
of \( (1+a x)^{n} \) are \( 1,8 x, 24 x^{2} \)
respectively, then \( a= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 4 \)
D.
Subject: Physics
The electric field in a region of space is given by \( \vec{E}=(\hat{5} i+\hat{2} j) N c^{-1} . \) The electric
flux due to this field through an area \( 2 m^{2} \)
lying in the \( Y \) -Z plane in S.I. units is
A . 10
B. 20
c. \( 10 \sqrt{2} \)
2
D. \( 2 \sqrt{29} \)
Subject: Maths
Below is given frequency distribution of no. of packages received at a post office
per day.
20 \( \quad 30 \) No. of packages २० 30
No. of
\[
2
\]
8
\( 16 \quad 24 \)
days
Find modal number of packages received by the post office per day.
A. 53.75
B. 55.75
c. 57.25
D. None of these
Subject: Biology
Heterogametic sex determination
based on the number of sex
chromosomes among the following are
A. \( X X-X O \) and \( X X-X Y \) methods
B. \( Z O-Z Z \) and \( Z W-Z Z \) methods
c. \( X X-X Y \) and \( Z W-Z Z \) methods
D. \( X X-X O \) and \( Z O-Z Z \) methods
Subject: Maths
The formula \( \cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)= \)
\( 2 \tan ^{-1} x \) holds only for
\( \mathbf{A} \cdot x \in R \)
B . | \( x \mid \leq 1 \)
c. \( x \in(-1,1) \)
D・ \( x \in(0, \infty) \)
Subject: Chemistry
In how many acids among following, the basicity is greater than \( 1 ? \)
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{B} \boldsymbol{O}_{3} \)
Subject: Chemistry
Which of the following statements
is/are wrong?
This question has multiple correct options
A. Zeolites are hydrated aluminosilicates which can be used as shape-selective catalysts
B. Enzymes show maximum activity when pH is either very low or very high
C. Enzymes shows increasing activity at room temperature \( \left(20^{\circ} C-25^{\circ} C\right) \)
D. Chemically, all enzymes are globular proteins
Subject: Maths
If \( y=\frac{(a-x) \sqrt{a-x}-(b-x) \sqrt{x-b}}{\sqrt{a-x}+\sqrt{x-b}} \)
then find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) wherever defined
A \( \frac{2 x-(a+b)}{2 \sqrt{(a-x)(x-b)}} \)
в. \( \frac{x}{2 \sqrt{(a-x)(x-b)}} \)
c. \( \frac{2 x-(a+b)}{4 \sqrt{(a-x)(x-b)}} \)
D. \( \frac{2 x+(a+b)}{2 \sqrt{(a-x)(x-b)}} \)
Subject: Chemistry
Assertion
Hydroxylamine \( \left(N H_{2} O H\right) \) contains \( N \)
and hence gives Prussian blue colour in
Lassaigne's test.
Reason
Hydroxylamine does not contain \( C, \) so
with Na metal, \( C N^{\ominus} \) ion is not formed
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
The mass of \( _{92}^{235} \mathrm{U} \) which must go nuclear fission to produce the same mass of energy as produced by 1 ton of coal. Given the heat of combustion of
coal is \( 8 \times 10^{3} \) cal \( / \) g. The fission of \( _{92}^{235} \mathbf{U} \)
produces 200 MeV energy per fission. Use \( \left.1 c a l=4.2 J ; 1 t o n=10^{6} g\right) \)
A. \( 0.5165 \mathrm{g} \)
B. 0.2345 g
c. \( 0.8185 \mathrm{g} \)
D. 0.4145 g
Subject: Chemistry
The \( P \) - \( V \) diagram of a system
undergoing a thermodynamic process is shown in figure. Work done by the
system in going from \( \boldsymbol{A} \rightarrow \boldsymbol{B} \rightarrow \boldsymbol{C} \) is 30
and \( 40 \mathrm{J} \) heat is given to the system.
The change in internal energy of the gas
if the gas is directly taken from \( A \) to \( C \)
is
A . 10
B. 70 J
c. 84
D. 134
Subject: Chemistry
The \( K_{p} \) value for \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \)
\( 2 S O_{3}(g) \) is \( 5.0 a t m^{-1} \)
If the equilibrium pressures of \( S O_{2} \) and
\( \boldsymbol{S} \boldsymbol{O}_{3} \) are equal. What is the equilibrium
pressure of \( \boldsymbol{O}_{2} ? \)
A. 0.2 atm
B. 0.3 atm
\( c .0 .4 \) atm
D. \( 0.1 \mathrm{atm} \)
Subject: Chemistry
The solubility curve of \( \mathrm{KNO}_{3} \) as a
function of temperature is given above
The amount of \( \mathrm{KNO}_{3} \) that will crystallize
when a saturated solution of \( \mathrm{KNO}_{3} \) in
\( 100 \mathrm{ml} \) of water is cooled from \( 90^{\circ} \mathrm{C} \) to
\( 30^{\circ} \mathrm{C}, \) is
\( A \cdot 16 g \)
B. 100 g
\( c \cdot 56 g \)
D. 160 g
Subject: Physics
Two electric lamps \( A \) and \( B \) radiate the
same power. Their filaments have the
same dimensions, and have
emissivities \( e_{A} \) and \( e_{B} . \) Their surface
temperatures are \( \boldsymbol{T}_{\boldsymbol{A}} \) and \( \boldsymbol{T}_{\boldsymbol{B}} \). The ratio \( \frac{\boldsymbol{T}_{\boldsymbol{A}}}{\boldsymbol{T}_{\boldsymbol{B}}} \) will be equal to
\( ^{\mathbf{A}} \cdot\left(\frac{e_{B}}{e_{A}}\right)^{1 / 4} \)
\( ^{\mathrm{B}} \cdot\left(\frac{e_{B}}{e_{A}}\right)^{1 / 2} \)
\( ^{\mathbf{c}}\left(\frac{e_{A}}{e_{B}}\right)^{1 / 2} \)
\( ^{\mathrm{D}} \cdot\left(\frac{e_{A}}{e_{B}}\right)^{1 / 4} \)
Subject: Maths
Let
\( \boldsymbol{f}(\boldsymbol{x})=\left|\begin{array}{ccc}2 \cot \boldsymbol{x} & -\mathbf{1} & \mathbf{0} \\ \mathbf{1} & \cot \boldsymbol{x} & -\mathbf{1} \\ \mathbf{0} & \mathbf{1} & \mathbf{2} \cot \boldsymbol{x}\end{array}\right| \)
then
Subject: Chemistry
Four students were given colourless liquids \( A, B, C \) of water, lemon juice and a mixture of water and lemon juice
respectively. After testing these liquids
with pH paper, following sequence
in colour change of pH paper were
reported:
I. Blue, Red and Green
Il. Orange,
Green and Green
III. Purple, Red and Green IV.Green, Red
and Red
The correct sequence of colours
observed is
\( A \)
B. II
c. ॥॥
D. IV
Subject: Physics
Find the time dependence of the velocity of the particle.
A \( \cdot v=\frac{\alpha t}{4} \)
B. \( v=\frac{\alpha^{2} t}{2} \)
\( ^{\mathrm{C}} \cdot_{v}=\frac{\alpha^{2} t}{4} \)
D. \( v=\frac{\alpha t}{2} \)
Subject: Maths
If \( A \) and \( B \) are events of the same
experiments with \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 2}, \boldsymbol{P}(\boldsymbol{B})= \)
0.5, then find the maximum value of
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \)
Subject: Maths
\( (\boldsymbol{k}-\mathbf{1}) \boldsymbol{C}_{(\boldsymbol{k}-\mathbf{1})}+^{\boldsymbol{k}} \boldsymbol{C}_{(\boldsymbol{k}-\mathbf{1})}+^{(\boldsymbol{k}+\mathbf{1})} \boldsymbol{C}_{(\boldsymbol{k}-\mathbf{1})}+ \)
\( +(n+k-2) C_{(k-1)}=? \)
\( \mathbf{A} \cdot(n+k) C_{k} \)
B. \( ^{(n+k+1)} C_{k} \)
\( \mathbf{C} \cdot(n+k) C_{k-1} \)
D. \( (n+k-1) C_{k} \)
Subject: Maths
\( \ln \) a hexagon \( A B C D E F ; \) side \( A B \) is
parallel to side \( \boldsymbol{F} \boldsymbol{E} \) and \( \angle \boldsymbol{B}: \angle \boldsymbol{C}: \angle \boldsymbol{D} \)
\( \angle E=6: 4: 2: 3 \)
Find the measure of \( \angle B \)
\( \mathbf{A} \cdot 108 \)
B . \( 216^{\circ} \)
\( c \cdot 244^{\circ} \)
D. None of these
Subject: Physics
Two spheres of radius \( r=0.5 \mathrm{m} \) and mass
1 kg are placed in contact with each other, what will be the gravitational force between them:
A. \( 0 N \),since the spheres are touching each other and \( r=0 \)
В. \( 6.67 \times 10^{-11} N \)
\( \mathbf{c} \cdot 6.67 \times 10^{-4} N \)
D. \( 6.67 \times 10^{-6} N \)
Subject: Physics
A point charge is placed at the corner of a cube. The electric flux through the
shaded surface is
\( A \cdot \frac{q}{8 c_{0}} \)
B. \( \frac{q}{\varepsilon_{0}} \)
\( c \cdot \frac{q}{24 c} \)
\( D \cdot \frac{q}{12 \varepsilon 0} \)
Subject: Physics
The position of a particle along along \( x \) axis is given by \( x=a+b t^{2}, \) where \( a= \)
\( 8.5 \mathrm{m}, \mathrm{b}=2.5 \mathrm{m} \) and \( t \) is in seconds.
What is its average velocity at \( t=2.0 \) s? What will be its average velocity between \( t=2 s \& t=4 s ? \)
Subject: Physics
The daniel cell is balanced on \( 125 \mathrm{cm} \)
length of a potentiometer. Now, the cell is short circuited by a resistance of \( 2 \Omega \) and the balance is obtained at \( 100 \mathrm{cm} \)
The internal resistance of the daniel cell
is :
A \( \frac{4}{3} \Omega \)
B. \( 1.5 \Omega \)
c. \( 1.25 \Omega \)
D. \( 0.5 \Omega \)
Subject: Physics
Relative permittivity and permeability
of a material are \( \epsilon_{\mathrm{r}} \) and \( \mu_{\mathrm{r}}, \) respectively.
Which of the following values of these quantifies are allowed for a diamagnetic material?
A \( \cdot \epsilon_{\mathrm{r}}=0.5, \mu_{\mathrm{r}}=0.5 \)
B . \( \epsilon_{\mathrm{r}}=1.5, \mu_{\mathrm{r}}=1.5 \)
\( \mathbf{c} \cdot \epsilon_{\mathrm{r}}=0.5, \mu_{\mathrm{r}}=1.5 \)
D. \( \epsilon_{\mathrm{r}}=1.5, \mu_{\mathrm{r}}=0.5 \)
Subject: Maths
Let \( f \) be a function defined by \( f(x)= \)
\( \mathbf{5} \boldsymbol{x}^{2}+\mathbf{2}, \boldsymbol{x} \in \boldsymbol{R} . \) Find a such that \( \boldsymbol{f}(\boldsymbol{a})= \)
22
Subject: Chemistry
Sometimes it is possible to separate
two sulphide ores by adjusting the
proportion of oil to water by using
depressants. When a depressant
NaCN is added to an ore containing
\( Z n S \) and \( P b S, \) what is the correct
observation?
A. \( N a C N \) prevents \( P b S \) from coming to the froth but allows \( Z n S \) to come with froth
B. \( N a C N \) prevents \( Z n S \) from coming to the froth but allows \( P b S \) to come with froth
C. \( N a C N \) prevents frothing of both \( Z n S \) and \( P b S \), hence no froth is formed
D. \( N a C N \) does not act as depressant hence a mixture of \( P b S \) and \( Z n S \) is found in the froth
Subject: Chemistry
Which of the following statements is
not correct for \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{F}_{\boldsymbol{6}}^{2-} \) and \( \boldsymbol{C l} \boldsymbol{F}_{\boldsymbol{6}}^{+} \boldsymbol{?} \)
This question has multiple correct options
A. They are isoelectronic.
B. They are isostructural
C. All possible \( \angle F S i F \) and \( \angle F C l F \) angles are identical.
D. \( d_{S i-F} \) and \( d_{C l-F} \) (bond lengths) are identical
Subject: Maths
If \( f(x)=x^{2}-7, \) then find the value
\( \boldsymbol{f}(\boldsymbol{a}-\boldsymbol{3}) \)
A \( \cdot a^{2}-6 a-16 \)
B . \( a^{2}-10 \)
\( \mathbf{c} \cdot a^{2}+21 \)
D. \( a^{2}-6 a+2 \)
E . \( 2 a-13 \)
Subject: Physics
A car accelerates steadily so that it goes from a velocity of \( 20 \mathrm{m} / \mathrm{s} \) to a velocity of \( 40 \mathrm{m} / \mathrm{s} \) in 4 seconds. What is its acceleration?
A. \( 0.2 \mathrm{m} / \mathrm{s}^{2} \)
В. \( 4 m / s^{2} \)
c. \( 5 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 10 \mathrm{m} / \mathrm{s}^{2} \)
E . \( 80 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Biology
Q Type your question_
organs and select the right option.
Name of Organism Class
Rhodoplayceae \( \begin{array}{ll}(1) & \text { Acetabularia } \\
(2) & \text { Chlamydomonas } \\
(3) & \text { Chara } \\
(4) & \text { Chara }\end{array} \) as Chlorophyceae
Chlorophyceae
\( \mathrm{F} \) Phaeophyceae
\( \mathbf{A} \)
\( B \cdot 2 \)
\( c \cdot 3 \)
\( D \)
Subject: Maths
The first and last term of an \( A . P . \) are \( a \)
and \( l \) respectively. If \( S \) is the sum of all
the terms of the \( A . P . \) and the common
difference is \( \frac{l^{2}-a^{2}}{k-(l+a)}, \) then \( k \) is
equal to
\( A \)
B . \( 2 s \)
\( c \cdot 3 s \)
D. None of these
Subject: Maths
Number of permutations of 1,2,3,4,5,6,7,8 taken all at a time are
such that the digit appearing some where to the left of 2 3 appearing to the left of 4 5 some where to the left of 6
(e.g.815723946 would be one such permutation)
A .9 .7
B. 8!
c. \( 5 ! .4 \)
D. 8!.4
Subject: Physics
A body moves a distance of \( 10 \mathrm{m} \) long a straight line under the action of force of
5N. If the work done is 25 joules, the angle which the force makes with the
direction of motion of the body is:
A . \( 0^{\circ} \)
B. \( 30^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Physics
If an object is placed at \( A(O A>f) \) Where \( f \) is the focal length of the convex lens the image is found to be formed at
B. A perpendicular is erected at 0 and \( C \) is chosen on it such that the angle \( \angle \) BAC is a right angle. Then the value of will be
\( A \cdot A B / O C^{2} \)
B. (AC)(BC)/OC
c. \( (\mathrm{OC})(\mathrm{AB}) / \mathrm{AC}+\mathrm{BC} \)
D. OC^/AB
Subject: Physics
In Young's experiment, the wavelength
of monochromatic light used is 6000 A. the optical path difference between the rays from the two coherent sources at
point \( P \) on the screen is \( 0.0075 \mathrm{mm} \) and at a point \( Q \) on the screen is \( 0.0015 \mathrm{mm} \) How many bright and dark bands are observed between the two points \( P \) and
Q?
Subject: Maths
The domain of the function \( f(x)= \) \( \sqrt{\cos ^{-1}\left(\frac{1-|x|}{2}\right)} \)
A \( \cdot(-3,3) \)
в. [-3,3]
C \( \cdot(-\infty,-3) \cup(-3, \infty) \)
D. \( (-\infty,-3) \cup(3, \infty) \)
Subject: Physics
The stationary wave, \( \boldsymbol{y}= \) \( 2 a(\sin k x \cos \omega t), \) in a closed organ pipe
is the result of the superposition of
\( \boldsymbol{y}=\boldsymbol{a} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}) \) and:
A. \( y=-a \cos (\omega t+k x) \)
B. \( y=a \cos (\omega t+k x) \)
c. \( y=a \sin (\omega t-k x) \)
D. \( y=-a \sin (\omega t+k x) \)