AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
At the initial moment three points \( A, B \) and \( \mathrm{C} \) are on a horizontal straight line at equal distances from one another. Point A beings to move vertically upward with a constant velocity v and point \( C \) vertically downward without any initial velocity but with a constant acceleration a. How should point B move
vertically for all the three points to be constantly on one straight line. The points begin to move simultaneously.
A . B moves up with initial velocity \( \frac{v}{2} \) and downward
acceleration \( -\frac{a}{2} \)
B . B moves down with initial velocity \( \frac{v}{2} \) and downward acceleration \( -\frac{a}{2} \frac{a}{2} \)
C . B moves up with initial velocity \( \frac{v}{2} \) and upward
acceleration \( -\frac{a}{2} \)
D. B moves down with initial velocity \( \frac{v}{2} \) and upward
acceleration \( -\frac{a}{2} \)
Subject: Maths
The foci of the hyperbola \( 16 x^{2}-9 y^{2}- \)
\( 64 x+18 y-90=0 \) are
\( ^{\mathrm{A}} \cdot\left(\frac{24 \pm 5 \sqrt{145}}{12}, 1\right) \)
B. \( \left(\frac{21 \pm 5 \sqrt{145}}{12}, 1\right) \)
c. \( \left(1, \frac{24 \pm 5 \sqrt{145}}{2}\right) \)
D \( \cdot\left(1, \frac{21 \pm 5 \sqrt{145}}{2}\right) \)
E \( \cdot\left(\frac{21 \pm 5 \sqrt{145}}{2},-1\right) \)
Subject: Maths
Factorise the following:
\( x^{2}+8 x+24 y-9 y^{2} \)
A \( .(x+y)(x-3 y+8) \)
в. \( (x+3 y)(x-3 y+8) \)
c. \( (x+2 y)(x-3 y+8) \)
D. \( (2 x+3 y)(x-3 y+8) \)
Subject: Physics
A man throws balls into the air one after
another. He always throws a ball when the previous one thrown has just reached the highest point. The height to which each ball rises, if he throws 5
balls per second is \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2}\right) \)
A . \( 0.31 \mathrm{m} \)
B. 0.20 \( m \)
c. \( 0.42 \mathrm{m} \)
D. \( 0.53 \mathrm{m} \)
Subject: Maths
The altitude of an equilateral triangle of side lenght of \( 2 \sqrt{3} \mathrm{cm} \) is:
A \( \cdot \frac{\sqrt{3}}{2} c \)
в. \( \frac{1}{2} c m \)
c. \( \frac{\sqrt{3}}{4} c \)
D. 3 ст
Subject: Chemistry
\( \mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}+3 \mathrm{H}_{2} \mathrm{S}+8 \mathrm{H}^{+} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_{2} \mathrm{O}+ \)
3S.
If true enter 1 else 0
\( A \)
Subject: Maths
If \( A \) and \( B \) are two events such that
\( \mathbf{2} \boldsymbol{P}(\boldsymbol{A})=\mathbf{3} \boldsymbol{P}(\boldsymbol{B}), \) where \( \mathbf{0}<\boldsymbol{P}(\boldsymbol{A})< \)
\( P(B)<1, \) then which one of the
following is correct?
A. \( P(A \mid B)<P(B \mid A)<P(A \cap B) \)
в. \( P(A \cap B)<P(B \mid A)<P(A \mid B) \)
c. \( P(B \mid A)<P(A \mid B)<P(A \cap B) \)
\( D(A \cap B)<P(A \mid B)<P(B \mid A) \)
Subject: Chemistry
Which of the following represents a correctly balanced half-reaction?
A \( \cdot C l_{2}+2 e^{-} \rightarrow C l^{-} \)
B \( \cdot 2 e+F e \rightarrow F e^{2+} \)
c. \( O_{2} \rightarrow 2 e^{-}+2 O^{2} \)
D. \( A l^{3+} \rightarrow A l+3 e^{-} \)
E \( \cdot 2 H^{+}+2 e^{-} \rightarrow H_{2} \)
Subject: Chemistry
Units of parts per million (ppm) or parts per billion (ppb) are often used to describe the concentrations of solutes
in very dilute solutions. The units are defined as the number of grams of solute per million or per billion grams of solvent. Bay of Bengal has 1.89 ppm of
lithium ions. The molality of \( L i^{+} \) in this
water is (atomic number of \( L i=7 \) ) :
A \( \cdot 1.5 \times 10^{-4} \mathrm{m} \)
в. \( 1.7 \times 10^{-4} \mathrm{m} \)
\( \mathbf{c} \cdot 2.5 \times 10^{-4} m \)
D. \( 2.7 \times 10^{-4} \mathrm{m} \)
Subject: Physics
One end of uniform wire of length \( L \) and of weight \( W \) is attached rigidly to a
point in the roof and a weight \( W_{1} \) is
suspended from the lower end. If \( \boldsymbol{A} \) is
the area of cross-section of the wire, the
stress in the wire at a height \( \frac{3 L}{4} \) from its lower end is:
A. \( \frac{W_{1}}{A} \)
\( ^{\text {В } \cdot} \frac{\left(W_{1}+\frac{W}{4}\right)}{A} \)
\( \frac{\left(W_{1}+\frac{3 W}{4}\right)}{A} \)
D. \( \frac{W_{1}+W}{A} \)
Subject: Physics
Statement-I : Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion and Statement-11: For heavy nuclei, binding energy per nucleon increases with increasing Z. while for light nuclei it decreases with increasing Z.
A. Both the statements are true and Statement 2 is the correct explanation for Statement
B. Both the statements are true but Statement 2 is not the correct explanation for Statement 1
c. statement 1 is true but Statement 2 is false
D. Statement1 is false but Statement 2 is true
Subject: Physics
If the specific heat of lead is
\( 0.03 \operatorname{cal} g^{-1 o} C^{-1}, \) thermal capacity of 500 g of lead is
\( \mathbf{A} \cdot 5 \operatorname{cal}^{o} C^{-1} \)
B. \( 10 \mathrm{cal}^{\circ} \mathrm{C}^{-1} \)
c. \( 15 ~ c a l^{\circ} C^{-1} \)
D. \( 20 \mathrm{cal}^{\circ} \mathrm{C}^{-1} \)
Subject: Biology
Match the column I with column II and
choose the correct option.
Column Column
a) Synaptonemal complex
1) Zygotene
2
b) Recombination nodules \( \quad \) Pachytene
c) Activation of recombinase
3 ) Diplotene enzyme
4)
d) Termination of chiasmata
\( A \cdot a-1, b-2, c-3, d-4 \)
B. a-1, b-2, c-4, d-3
\( c \cdot a-1, b-4, c-2, d-3 \)
D. \( a-1, b-3, c-2, d-4 \)
Subject: Chemistry
The IUPAC name of
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O H} \) is:
A. 3-Methyl butan-1-ol
B. 2-methyl pentan-1-ol
c. 3-ethyl pentan-1-o
D. 2-ethyl butan-1-ol
Subject: Maths
The co-ordinates of head and tail of a
vector are \( (\mathbf{2}, \mathbf{1}, \mathbf{0}) \) and \( (-\mathbf{4}, \mathbf{2},-\mathbf{3}) \)
respectively. The magnitude of the vector is:
A. \( \sqrt{23} \) units
B. \( \sqrt{46} \) units
c. \( \sqrt{84} \) units
D. \( \sqrt{12} \) units
Subject: Physics
plates \( A, B \) and \( C \) are placed as shown.
Switches \( S_{1} \) and \( S_{2} \) are open, and can
connect \( A \) and \( C \) to earth when closed.
\( +Q \) charge is given to \( B: \)
This question has multiple correct options
A. If \( S_{1} \) is closed with \( S_{2} \) open, a charge of amount \( Q \) will
pass through \( S_{1} \)
B. If \( S_{2} \) is closed with \( S_{1} \) open, a charge of amount \( Q \) will pass through \( S_{2} \)
c. If \( S_{1} \) and \( S_{2} \) are closed together, a charge of amount
Q/3 will pass through \( S_{1} \), and a charge of amount
\( 2 Q / 3 \) will pass through \( S_{2} \)
D. All the above statements are incorrect
Subject: Chemistry
\( M e C H O \stackrel{N a O H, \Delta}{\longrightarrow} A \stackrel{K O H, \Delta}{\longrightarrow} B \)
B is:
A \( \cdot \operatorname{Me}(C H=C H)_{3} C H O \)
в. \( M e C H=C H C H O \)
c. \( \operatorname{Me}(C H=C H)_{2}-C H O \)
\( D \)
(4) \( \mathrm{Me}+\mathrm{CH}=\mathrm{CH}=_{4} \mathrm{CHO} \)
Subject: Maths
If \( \quad x \in\left(\frac{3 \pi}{2}, 2 \pi\right), \) then the value of the expression
\( \sin ^{-1}\left[\cos \left\{\cos ^{-1}(\cos x)+\sin ^{-1}(\sin x)\right\}\right. \)
\( ^{A} \cdot-\frac{\pi}{2} \)
в.
c. 0
D.
Subject: Physics
An \( \alpha \) -particle of energy \( 5 M e V \) is
scattered through \( 180^{0} \) by a fixed
uranium nucleus. The closest distance
is in the order of
\( \mathbf{A} \cdot 1 A^{0} \)
B . \( 10^{-10} \mathrm{cm} \)
\( \mathbf{c} \cdot 10^{-12} \mathrm{cm} \)
D. \( 10^{-16} \mathrm{cm} \)
Subject: Chemistry
Identify the correct order of solubility in aqueous medium:
A \( \cdot C u S>Z n S>N a_{2} S \)
в. \( Z n S>N a_{2} S>C u S \)
c. \( N a_{2} S>C u S>Z n S \)
D. \( N a_{2} S>Z n S>C u S \)
Subject: Chemistry
Following is the list of four halides. Select correct sequence of decreasing
order of reactivity for \( \boldsymbol{S}_{N} \) 1 reaction
using the codes given below.
।) \( C_{6} \boldsymbol{H}_{5}-\underset{\mathrm{CH}_{3}}{\boldsymbol{H}}-\boldsymbol{B r} \)
॥) \( C_{6} H_{5}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{B r} \)
\( \| \mathrm{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{I} \)
\[
\boldsymbol{C H}_{3}
\]
IV) \( C_{6} H_{5} \)
\( \boldsymbol{C H}_{2}-\boldsymbol{I} \)
\( A \cdot|||>|>|V>| \mid \)
B. ||| >|> || > IV
D. |> |||> || > IV
Subject: Chemistry
The equilibrium:
\( \boldsymbol{P}_{4}(\boldsymbol{g})+\boldsymbol{6} \boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{4} \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g}) \)
is attained by mixing equal moles of \( \boldsymbol{P}_{4} \)
and \( C l_{2} \) in an evacuated vessel. Then at
equilibrium:
\( \mathbf{A} \cdot\left[C l_{2}\right]>\left[P C l_{3}\right] \)
в \( \cdot\left[C l_{2}\right]>\left[P_{4}\right] \)
\( \mathbf{c} \cdot\left[P_{4}\right]>\left[C l_{2}\right] \)
D・ \( \left[P C l_{3}\right]>\left[P_{4}\right] \)
Subject: Chemistry
toppr
Q Type your question
radicals with almost equal ease,
whereas bromine free radicals have a
clear preference for the formation of tertiary free radicals. So, bromine is
less reactive, and more selective
whereas chlorine is less selective and
more effective
The relative rate of abstraction of
hydrogen by Br is \( \begin{array}{c}\mathbf{3}^{\circ}>\mathbf{2}^{\circ}>\mathbf{1}^{\circ} \\ \mathbf{( 1 6 0 0})\end{array}>\left(\begin{array}{c}\mathbf{8 2} \\ \mathbf{1}\end{array}\right) \)
The relative rate of abstraction of
hydrogen by Cl is \( \mathbf{3}^{\circ}>\mathbf{2}^{\circ}>\mathbf{1}^{\circ} \)
\( (\mathbf{5}) \)
G. How many dichloro products (including stereoisomers) will be
formed when \( R-2- \) chloropentane
reacts with \( C l_{2} \) in presence of UV
radiation?
A . 5
B. 6
c. 7
D. 8
Subject: Chemistry
Assertion
If standard reduction potential for the
reaction \( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g} \) is 0.80 volt,
then for the reaction \( 2 A g^{+}+2 e^{-} \rightarrow \)
2 Ag.lt will be 1.60 volt.
Reason
If concentration of \( A g^{+} \) ions is doubled
the standard electrode potential is also doubled.
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) State Joule's law of heating. Name two gases which are filled in electric bulbs and explain why these gases are filled in electric bulbs.
(b) An electric iron consumes energy at
a rate of \( 840 \mathrm{W} \), when heating is at the maximum rate. The voltage of electric
source is \( 220 \mathrm{V} \). Calculate the value of
current and the resistance
Subject: Chemistry
Which of the following expressions is
true?
\( \mathbf{A} \cdot H_{f}^{o}(C O, g)=\frac{1}{2} \Delta H_{f}^{o}\left(C O_{2}, g\right) \)
B \( \cdot \Delta H_{f}^{o}(C O, g)=\Delta H_{f}^{o}(C, \text { graphite })+\frac{1}{2} \Delta H_{f}^{o}\left(O_{2}, g\right) \)
C \( \cdot \Delta H_{f}^{o}(C O, g)=\Delta H_{f}^{o}\left(C O_{2}, g\right)-\frac{1}{2} \Delta H_{f}^{o}\left(O_{2}, g\right) \)
D. \( \Delta H_{f}^{o}(C O, g)=\Delta H_{\text {comb}}^{o}(C, \text { graphite})-\Delta H_{\text {comb}}^{o}(C O, g) \)
Subject: Physics
Ine glven apparatus snows a neavy piston supported by gas trapped in a cylinder. The cross-sectional area of the
piston is \( 4.0 \times 10^{-4} m^{2} . \) The pressure of
the gas inside the cylinder is \( 1.5 \times 10^{5} \)
Pa and atmospheric pressure is \( 1.0 \times \)
\( 10^{5} \) Pa. Find the mass of the piston
(Take \( \left.g=10 \mathrm{m} s^{-2}\right) \)
\( A \cdot 1 \mathrm{kg} \)
в. 2 kg
\( c \cdot 3 k g \)
\( 0.4 \mathrm{kg} \)
Subject: Chemistry
In a reaction of acidified hydrogen
peroxide with potassium iodide, the concentration of iodine formed rises from 0 to \( 10^{-5} \) mol \( d m^{-3} \) in 10 seconds.
What is the rate of reaction?
A \( \cdot 10^{-6} \) mold \( m^{-3} s^{-1} \)
B \( \cdot 10^{6} \) mol \( d m^{-3} s^{-1} \)
c. \( 10^{-5} \) mold \( m^{-3} s^{-1} \)
D. \( 10^{4} \) mol \( d m^{-3} s^{-1} \)
Subject: Physics
Given that force \( F \) is given by, \( \boldsymbol{F}= \)
\( \boldsymbol{P t}^{-1}+\boldsymbol{Q} \boldsymbol{t}, \) where \( t \) is the time. The unit
of \( P \) is same as that of
A. velocity
B. acceleration
c. displacement
D. momentum
Subject: Physics
A uniform flexible chain of mass \( \mathrm{m} \) and
length \( 2 \ell \) hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain slips over the pin. The speed of
chain when it leaves pin is
в. \( \sqrt{g \ell} \)
c. \( \sqrt{4 g \ell} \)
D. \( \sqrt{3 g \ell} \)
Subject: Chemistry
For the compounds,
I) HCOOH
॥) \( C H_{3} C O O H \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O O H} \) IV \( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C O O H} \)
The correct order of decreasing acidity is :
\( A \cdot|>||>|||>\mid V \)
B. IV >1>||>111
c. ।>IV> || > II
D. IV> || > || > |
Subject: Chemistry
Following alkanes are wrongly named. Write their correct IUPAC names
(i) 2-Ethylbutane
(ii) \( 4- \) Methylpentane
(iii) 3,5 -Dimethylhexane
(iv) 5 -Ethyl-4
methylheptane
(v) 2,3 -Dimethyl-3 ethylpentane
(vi) 3 -Methyl-4 isopropylheptane (vii) 4-Ethyl-5-secbutyInonane
Subject: Physics
A force of \( 20 \mathrm{N} \) acts on the ball for short
duration. If ball of mass \( 0.5 \mathrm{kg} \) acquire a speed of \( 4 \mathrm{m} / \mathrm{s} \) from the rest. For how
long did this force act on the ball?
A . \( 0.01 \mathrm{s} \)
B. 0.02
\( c \cdot 0.1 \mathrm{s} \)
D. 0.2
E. \( 1 \mathrm{s} \)
Subject: Physics
Ip
experiment on scattering ot \( \boldsymbol{\alpha} \) -particles by a thin foil of gold, draw the trajectory
of \( \alpha \) -particles in the coulomb field of
target nucleus. Explain briefly how one gets the information on the size of the nucleus from this study. From the relation \( \boldsymbol{R}=\boldsymbol{R}_{0} \boldsymbol{A}^{1 / 3}, \) where \( \boldsymbol{R}_{0} \)
is constant and \( A \) is the mass number
of the nucleus, show that nuclear
matter density is independent of \( \mathbf{A} \)
OR

Distinguish between nuclear fission and fusion. Show how in both these
processes energy is released.
Calculate the energy release in MeV in the deuterium-tritium fusion reaction:
\( \mathbf{2} \boldsymbol{H}+_{\mathbf{1}}^{\mathbf{3}} \boldsymbol{H} \longrightarrow_{\mathbf{2}}^{\mathbf{4}} \boldsymbol{H} \boldsymbol{e}+\boldsymbol{n} \)
Using the data:
\( \boldsymbol{m}\left(_{1}^{2} \boldsymbol{H}\right)=\mathbf{2 . 0 1 4 1 0 2} \boldsymbol{u} \)
\( \boldsymbol{m}\left(_{1}^{3} \boldsymbol{H}\right)=\mathbf{3} . \mathbf{0} \mathbf{1 6 0} \mathbf{4 9} \boldsymbol{u} \)
\( \boldsymbol{m}\left(\begin{array}{l}4 \\ 2\end{array} \boldsymbol{H} e\right)=4.002603 \boldsymbol{u} \)
\( \boldsymbol{m}_{\boldsymbol{n}}=\mathbf{1 . 0 0 8 6 6 5 u} \)
\( \mathbf{1} \boldsymbol{u}=\mathbf{9 3 1 . 5} \boldsymbol{M} \boldsymbol{e} \boldsymbol{V} / \boldsymbol{c}^{2} \)
Subject: Biology
\( (A) \)
(i) Opening and closing of Scotoactive
stomata photoactive stomata
(B) Guttation
(ii) Transpiration
(C)Tensile
(iii) Water loss in liquid phase strength
(D) \( \mathrm{K}^{+} \) pump
(iv) Night transpiration theory
Match the above columns and choose the
correct combination.
\( A \cdot A-(i v), B-(i i i), C-(i i), D-(i) \)
B. \( A-(\text { iv }), B-(i), C-(i i), D-(i i i) \)
C \( . A- \) (iii), B- (iv), C- (i), D- (ii)
D. A- (iii), B- (i), C- (iv), D- (ii)
Subject: Chemistry
Match List - I with List - II for the compositions of substances and select
the correct answer using the code given below the list:
List - -
List - II

Substances
Composition
(A) Plaster of paris
\( \boldsymbol{C a} \boldsymbol{S O}_{4} \cdot \boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
(B) Epsomite \( \operatorname{Cas} O_{4} \cdot \frac{1}{2} H_{2} O \)
(C) Kieserite
\( M a S O_{4} \cdot 7 H_{2} O \)
(D) Gypsum
\( M g S O_{4} \cdot H_{2} O \)
\( (v) C a S O_{4} \)
B. (A) - (ii), (B) - (iii), (C) - (iv), (D) - (i)
D. (A) - (iv), (B) - (iii), (C) - (ii), (D) - (i)
Subject: Chemistry
Hydrated cobalt(II) chloride
decomposes on heating. The equation for the reaction is
\( \boldsymbol{C o C l}_{2} \cdot \boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O C o C l}_{2}+\boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O} \)
The reaction is reversed by adding
water.
Which row describes the colour change
and the type of reaction for the reverse
reaction?
A. Colour change - blue to pink, type of reaction endothermic
B. Colour change - blue to pink, type of reaction exothermic
c. Colour change - pink to blue, type of reaction endothermic
D. Colour change - pink to blue, type of reaction exothermic
Subject: Physics
A magnet of magnetic moment 20 CGS units is freely suspended in a uniform magnetic field of intensity \( 0.3 \mathrm{CGS} \) units. The moment of work done in
deflecting it by an angle of \( 30^{\circ} \) in \( C G S \)
units is
A . 6
B. \( 3 \sqrt{3} \)
c. \( 3(2-\sqrt{3}) \)
D. 3
Subject: Maths
The perimeter of two similar triangle
are \( 30 \mathrm{cm} \) and \( 20 \mathrm{cm} . \) If one side of first
triangle is \( 12 \mathrm{cm} \) determine the corresponding side of second triangle.
A. \( 8 \mathrm{cm} \)
в. \( 4 \mathrm{cm} \)
\( \mathrm{c} .3 \mathrm{cm} \)
D. \( 16 \mathrm{cm} \)
Subject: Maths
The value of \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{3} \boldsymbol{x}-\boldsymbol{2}-\boldsymbol{x}^{2} \) at \( \boldsymbol{x}= \)
3
\( A \cdot 0 \)
B. - 1
\( c \cdot-2 \)
D. - 3
Subject: Maths
If \( \boldsymbol{A}=\{\boldsymbol{b}, \boldsymbol{c}, \boldsymbol{d}\} \) and \( \boldsymbol{B}=\{\boldsymbol{x}, \boldsymbol{y}\} . \) Find
which of the following are elements of
\( \boldsymbol{A} \times \boldsymbol{A} \)
A \( \cdot\{b, b\} \)
в. \( \{b, c\} \)
c. \( \{b, d\} \)
D. All of the above
Subject: Physics
A body of mass \( m \) is moving in a circular orbit of radius \( \boldsymbol{R} \) about a planet
of mass \( M . \) At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius \( \frac{\boldsymbol{R}}{\longrightarrow} \) \( \overline{2} \)
and the other mass, in a circular orbit of radius \( \frac{3 R}{2} . \) The difference between the final and initial total energies is:
A. \( -\frac{G M m}{2 R} \)
в. \( +\frac{G M m}{6 R} \)
c. \( \frac{G M m}{2 R} \)
D. \( -\frac{G M m}{6 R} \)
Subject: Maths
A bag contains 5 red, 6 white and 7
black balls. Two balls are drawn at
random. What is the probability that both balls are red or both are black?
A \( \cdot \frac{31}{153} \)
в. \( \frac{30}{153} \)
c. \( \frac{33}{153} \)
D. \( \frac{32}{153} \)
Subject: Chemistry
Which of the following has \( X-0-X \)
linkage?
(1) \( \boldsymbol{H}_{2} \boldsymbol{S}_{4} \boldsymbol{O}_{6} \)
(2) \( \boldsymbol{H}_{\mathbf{6}} \boldsymbol{P}_{\mathbf{6}} \boldsymbol{O}_{\mathbf{1} \mathbf{8}} \)
\( \boldsymbol{P}_{4} \boldsymbol{O}_{10} \)
(4)
\( N a_{2} B_{4} O_{5}(O H)_{4} .8 H_{2} O \)
(5)\( N a_{2} S_{2} O_{8} \)
(6) \( K_{2} S_{2} O_{7} \)
(7) \( K_{2} C r_{2} O_{7} \)
(8) \( N a_{4} P_{2} O_{8} \)
(9) Hypophosphoric acid
A. 5
B. 9
\( c \cdot 7 \)
D.
Subject: Physics
The manometer shown below is used to
measure the difference between water
level of the two tanks. Calculate this
difference for the conditions indicated
\( A \cdot 4 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
\( c .100 \mathrm{cm} \)
D. \( 12 \mathrm{cm} \)
Subject: Physics
During an experiment an ideal gas is found to obey an additional law \( \mathrm{V}^{2} \mathrm{P}= \)
constant. The gas is initially at a temperature \( T \) and volume \( V \). When it expands to a volume 2 V, the temperature becomes
A. \( T \)
в. 2T
c. \( T \sqrt{2} \)
D. \( T / 2 \)
Subject: Physics
In a circular coil (1) of radius \( \boldsymbol{R} \), current
\( I \) is flowing and in another coil (2) of
radius \( 2 R \) a current \( 2 I \) is flowing, then the ratio of the magnetic fields produced by the two coils is
A . 1:
B. 2:
c. 1: 2
D. 3:
Subject: Chemistry
Which of the following reaction
equation is wrongly labeled?
\( \mathbf{A} \cdot F e+C r^{3+} \rightarrow F e^{3+}+C r(r e d o x) \)
B \( \cdot K B r+H_{2} O \rightarrow H B r+K O H \) (hydrolysis)
\( \mathbf{c} \cdot C H_{4}+2 O_{2} \rightarrow C O_{2}+2 H_{2} O \) (combustion)
D. \( C H_{4}+C l_{2} \rightarrow C H_{3} C l+H C l \) (addition)
E \( \cdot C O_{2}+H_{2} O \rightarrow H_{2} C O_{3} \) (synthesis)
Subject: Chemistry
What is the concentration of \( A g^{+} \) in a
solution made by dissolving both
\( A g_{2} C r O_{4} \) and \( A g_{2} C_{2} O_{4} \) until
saturation is reached with respect to
both salts?
\( \left[\boldsymbol{K}_{s p}\left(\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)=\boldsymbol{2} \times\right. \)
\( \left.\mathbf{1 0}^{-\mathbf{1 1}}, \boldsymbol{K}_{\boldsymbol{s p}}\left(\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{C r} \boldsymbol{O}_{4}\right)=\mathbf{2} \times \mathbf{1 0}^{-\mathbf{1 2}}\right] \)
A \( \cdot 2.80 \times 10^{-4} \)
B . \( 7.6 \times 10^{-5} \)
c. \( 6.63 \times 10^{-6} \)
D. \( 3.52 \times 10^{-4} \)
Subject: Physics
An \( \alpha \) -particle of charge \( 2 e \) is projected with high speed towards two protons (each of charge \( e \) ) kept at a distance
\( 4 m \) apart, along a perpendicular passing through the mid-point of the line joining the protons. Initially, \( \alpha \) particle starts very far away from the protons. The change In potential energy of the system, when the \( \alpha \) -particle undergoes the greatest repulsion, in terms of \( \frac{\mathbf{e}^{2}}{\pi \epsilon_{0}} \) will be:
A \( \cdot \frac{1}{\sqrt{3}} \)
B. \( \sqrt{2} \)
c. \( \frac{1}{\sqrt{6}} \)
D. \( \sqrt{3} \)
Subject: Chemistry
The rate constant for forward and
backward reaction of hydrolysis of ester are \( 1.1 \times 10^{-2} \) and \( 1.5 \times 10^{-3} \) per
minute respectively
Equilibrium constant for the reaction is
\( C H_{3} C O O C_{2} H_{5}+H_{2} O \rightleftharpoons \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H}+\boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H} \)
A .4 .33
B. 5.33
\( c \cdot 6.33 \)
D. 7.33
Subject: Chemistry
The formula of the compound is
\( N a_{4} S_{4} O_{6} . \) Find the empirical formula of the compound.
A. \( N a S O \)
в. \( N a_{2} S_{2} O_{3} \)
c. \( N a_{2} S_{2} O \)
D. \( N a_{2} S_{4} O_{3} \)
Subject: Maths
Find the points of local maxima or local minima and corresponding local maxima and local minimum value of
the following functions. Also, find the points of inflection, if any. \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{2} \boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{a}^{2} \boldsymbol{x}, \boldsymbol{a}>\boldsymbol{0}, \boldsymbol{x} \in \boldsymbol{R} \)
Subject: Maths
If \( A \& B \) are independent events such \( \operatorname{that} P(B)=\frac{2}{7}, P(A \cup \bar{B})=0.8, \) then
\( P(A) \) is equal to
A . \( 0 . \)
B. 0.2
\( c .0 .3 \)
D. 0.4
Subject: Chemistry
Identify the name of the following reaction. \( \boldsymbol{C H}_{3} \boldsymbol{B r}+\boldsymbol{N a I} \stackrel{\text {dryacetone}}{\longrightarrow} \boldsymbol{C H}_{3} \boldsymbol{I}+ \)
\( N a B r \)
A. Finkelstein reaction
B. Gattermann reaction
c. sandmeyer reaction
D. Wurtz reaction
Subject: Physics
Which of the following statements are
not true?
This question has multiple correct options
A. All charges at rest tend to move higher electric potential to lower electric potential
B. All charges at rest tend to move lower electric potential to higher electric potential
C. Positive charges at rest tend to move form lower electric potential to higher electric potential and negative charges at rest tend to move from higher electric potential to lower electric potential
D. Positive charges at rest tend to move from higher potential to lower potential and negative charges at rest tend to move from lower electric potential to higher potential
Subject: Physics
A lamp of \( 6 \mathrm{V} \) and \( 30 \mathrm{W} \) is used in a laboratory but the supply is of \( 120 \mathrm{V} \) what will be done to make use of the
lamp?
(1) A resistance may be used
(2) A resistance may be used in series with lamp.
(3) The resistance should be of \( 18 \Omega \)
A. 1,2 and 3 are correct
B. 1 and 2 are correct
c. 1 and 3 are correct
D. 2 and 3 are correct