AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Four identical parallel conductors,
carrying charges \( Q,-2 Q, 3 Q \) and \( 4 Q \)
are placed as shown in the figure. The
plates carrying charges \( Q \) and \( 4 Q \), are
connected through a switch, as shown.
The amount of charge flowing through the switch, after closing it is found to be
\( n Q . \) Find \( n \)
Subject: Chemistry
\( 40 \mathrm{ml} \) of hydrocarbon on combustion gave \( 120 \mathrm{ml} \mathrm{CO}_{2} \) and \( 80 \mathrm{ml} \) water
vapour. The molecular formula of
hydrocarbon is:
A \( \cdot C_{2} H_{6} \)
B. \( C_{3} H_{6} \)
\( \mathbf{c} \cdot C_{3} H_{8} \)
D. \( C_{3} H_{4} \)
Subject: Physics
The World Nuclear Association
considers used fuel management to be
sustainable if it meets the following key
criteria:
A. It covers all the steps of used fuel management from the generation of used fuel up to and including final disposal in accordance with a well defined practical plan.
B. It proves to be feasible with a sustainable impact level
C. It protects human health and the environment and has no greater impact on the health of future generations than is allowed today.
D. It is able to demonstrate to a practicable extent that it is technically and economically viable.
E. All of the above
Subject: Physics
The speed of an object of mass \( 2 k g \) increases from \( 2 m / s \) to \( 4 m / s \) in \( 3 s \)
Find out the total work done on the
object during this time interval?
A . \( 4 J \)
B. 6.5
c. \( 12 J \)
D. 24J
ह. \( 36 J \)
Subject: Chemistry
Lassaigne's test is not shown by diazonium salts because they:
\( \mathbf{A} \cdot \) form \( N H_{3} \) gas on heating much before the reaction with sodium.
B. form \( N_{2} \) gas on heating much before the reaction with sodium
C . are highly volatile and evaporate before the reaction with sodium
D. all of the above
Subject: Chemistry
\( \operatorname{Inthe} A \underline{H B r} \quad \) B \( \underline{a l c K O H} \quad c \frac{Z n / H_{2} O}{O_{3}} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{H C H O} \) the compound \( \mathbf{A} \)
is :
A. ethylene
B. acetic acid
c. propene
D. 1- butene
Subject: Physics
In a cubical vessel \( 1 m \times 1 m \times 1 m \) the gas
molecules of diameter \( 1.7 \times 10^{-8} \mathrm{cm} \) are
at a temperature \( 300 \mathrm{K} \) and a pressure of
\( 10^{-4} \mathrm{mm} \) mercury. The mean free path of
the gas molecule is
A. 1 meter
B. 4 meter
c. 2.42 meter
D. \( 1 \mathrm{cm} \)
Subject: Maths
Two points \( A \) and \( B \) with coordinates (1,1) and (-2,3) respectively are given Find the locus of a point \( \boldsymbol{P} \) so that the
area of \( \triangle \boldsymbol{P A B} \) is \( \mathbf{9} \) sq.units.
A. \( 2 x-3 y-13=0 \)
B. \( 2 x+3 y-13=0 \)
c. \( 5 x-3 y-13=0 \)
D. \( 5 x+3 y-13=0 \)
Subject: Chemistry
\( C H_{3} C H_{2} O H+O_{2} \stackrel{X}{\longrightarrow} \) Vinegar
In the above reaction, \( \boldsymbol{X} \) is:
A \( \cdot\left(C H_{3} C O O\right)_{2} M n \)
в. \( C H_{3} \) СООН
c. mycoderma aceti
D. \( K_{2} C r_{2} O_{7} / H \oplus \)
Subject: Chemistry
Consider the given structures \( (A),(B),(C) \) and \( (D) \)
Which of the following statements is
not correct?
\( (\mathbf{A}) \)
\( \mathbf{B} \)
\( A . B \) and \( C \) are identical
B. \( A \) and \( B \) are enantiomers
\( \mathrm{c} . A \) and \( C \) are enantiomers
D. \( B \) and \( D \) are enantiomers
Subject: Maths
If \( \boldsymbol{A}(\boldsymbol{6},-\mathbf{7}, \mathbf{0}), \boldsymbol{B}(\mathbf{1 6},-\mathbf{1 9},-\mathbf{4}) \)
\( C(0,3,-6) \) and \( D(2,-5,10) \) are four points in space, then the point of intersection of the lines \( A B \) and \( C D \) is
A \( \cdot(2,1,-1) \)
в. (1,1,2)
D. does not exist as the lines are skew
Subject: Physics
Assertion
In a gas any rapid change must be adiabatic whereas a slow change may be adiabatic.
Reason
In a P-V diagram, the magnitude of the slope is greater for an adiabatic process than for an isothermal process.
A. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1
B. Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1
c. statement 1 is true but statement 2 is false
D. Statement 1 is false but statement 2 is true
Subject: Maths
If \( f(x)= \) \( \left\{\begin{array}{c}\frac{1-\sin x}{(\pi-2 x)^{2}} \cdot \frac{\log \sin x}{\log \left(1+\pi^{2}-4 \pi x+x^{2}\right)} \\ k\end{array}\right. \)
is continuous at \( x=\frac{\pi}{2}, \) then \( k \) is equal
to.
A \( \cdot-\frac{1}{16} \)
B. \( -\frac{1}{32} \)
\( c \cdot-\frac{1}{64} \)
D. \( -\frac{1}{28} \)
Subject: Maths
\( \boldsymbol{x}=\mathbf{1}+\frac{\mathbf{1}}{\mathbf{2} \times \underline{\mathbf{1}}}+\frac{\mathbf{1}}{\mathbf{4} \times \underline{\mathbf{2}}}+\frac{\mathbf{1}}{\mathbf{8} \times \underline{\mathbf{3}}} \)
\( \mathbf{A} \cdot e^{1 / 2} \)
B \( \cdot e^{2} \)
\( c \)
\( D \cdot \frac{1}{1} \)
Subject: Chemistry
Aluminum displaces hydrogen in dil. HCl whereas silver does not. The e.m.f of
a cell prepared by combination \( A l / A l^{3+} \) and \( A g / A g^{+} \) is 2.46 V. The
reduction potential reduction potential of aluminum electrodes is:
A \( .+1.66 v \)
B. - -3.26 V
\( c .+3.26 v \)
D. -1.66 V
Subject: Chemistry
The hydrides of the first element in
group \( 15-17, \) namely \( N H_{3}, H_{2} O \) and
\( H F, \) respectively show abnormally high
values for melting and boiling points. This is due to:
A. small size of \( N, O \) and \( F \)
B. the ability to form extensive intermolecular \( H \) bonding
c. the ability to form extensive intramolecular \( H \) bonding
D. effective van der Waal's interaction
Subject: Maths
Investigate for what values of \( \lambda, \mu \) the
simultaneous equation \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}= \)
\( \mathbf{6} ; \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\mathbf{3} \boldsymbol{z}=\mathbf{1 0} \& \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\boldsymbol{\lambda} \boldsymbol{z}= \)
\( \mu \) have a unique solution
A. \( \lambda \neq 3 \)
в. \( \lambda \neq 5 \)
c. \( \lambda \neq 1 \)
D. \( \lambda \neq 2 \)
Subject: Physics
A gas is undergoing an adiabatic process. At a certain stage \( A \), the values
of volume and temperature \( \equiv\left(V_{0}, T_{0}\right) \) and the magnitude of the slope of \( \mathrm{V}-\mathrm{T} \)
curve is \( \mathrm{m} \). Find the value of \( C_{P} \) and \( C_{V} \)
Subject: Physics
The refracting angle of a prism is \( A \). The refractive index of the prism is \( \cot \frac{A}{2} \) Find angle of minimum deviation.
\( \mathbf{A} \cdot 180^{\circ}+2 A \)
B \( \cdot 180^{\circ}-3 A \)
D. \( 90^{\circ}-A \)
Subject: Maths
f \( A \) and \( B \) are two matrices such that
\( A B=B \) and \( B A=A \) and
\( \left(A^{2}+B^{2}\right)=\lambda(A+B) . \) Considering
\( \boldsymbol{f}(\boldsymbol{x})=|[\sin \boldsymbol{x}]+[\cos \boldsymbol{x}]| ; \) where [] is
greatest integer function find \( \boldsymbol{f}(\mathbf{4} \boldsymbol{\lambda}) \)
Subject: Maths
If \( z_{1} \) and \( z_{2} \) are two non-zero complex number such that \( \left|\frac{z_{1}}{z_{2}}\right|=2 \) and
\( \arg \left(z_{1} z_{2}\right)=\frac{3 \pi}{2}, \) then \( \frac{\overline{z_{1}}}{z_{2}} \) is equal to
A. 2
B . - -
\( c \cdot-2 \)
D.
Subject: Chemistry
Which one of the following statement is
correct for \( \boldsymbol{d}^{4} \) ions \( [\mathrm{P}=\text { pairing energy }] ? \)
A. When \( \Delta_{0}>P \), low-spin complex form
B. When \( \Delta_{0}<P \), low-spin complex form
c. When \( \Delta_{0}>P \), high-spin complex form
D. When \( \Delta_{0}<P \), both high-spin and low-spin complexes form
Subject: Physics
The magnifying power of an astronomical telescope is 8 , then the ratio of the focal length of the objective to the focal length of the eyepiece is :
(final image is at \( \infty) \)
\( \mathbf{A} \cdot \mathbf{8} \)
B. \( \frac{1}{8} \)
c. 0.45
D. None of these
Subject: Chemistry
At equilibrium \( \boldsymbol{K}_{\boldsymbol{p}}=\mathbf{1}, \) then:
A \( \cdot \Delta G^{\circ}=0 \)
B . \( \Delta G^{\circ}=+v e \)
c. \( \Delta G^{\circ}=-v e \)
D. \( \Delta G^{\circ}=+v e, o r-v e \)
Subject: Chemistry
Balance the following equations by
oxidation number method.
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{C l} \boldsymbol{O}_{2}+\boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{C l}^{-}+\boldsymbol{O}_{2}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
Subject: Physics
A satellite is moving in a circular orbit
around earth with a speed \( V \), If its mass
is \( \mathrm{m} \), then its total energy will be.
A \( \cdot \frac{3}{4} m v^{2} \)
B. \( m v^{2} \)
c. \( \frac{1}{2} m v^{2} \)
D. \( -\frac{1}{2} m v^{2} \)
Subject: Maths
The order of \( [x, y, z]\left[\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right] \) is
\( A \cdot 3 \times 1 \)
B. \( 1 \times 1 \)
c. \( 1 \times 3 \)
D. \( 3 \times 3 \)
Subject: Chemistry
The rate constant of a reaction is \( 1.5 \times \)
\( 10^{7} s^{-1} \) at \( 50^{\circ} C \) and \( 4.5 \times 10^{7} s^{-1} \) at
\( 100^{\circ} \mathrm{C} . \) Calculate the Arrhenius
parameter \( \boldsymbol{A} \) and \( \boldsymbol{E}_{\boldsymbol{a}} \)
Subject: Biology
Assertion
Diaphragms, cervical caps and vaults are made of rubber and are inserted
into the female reproductive tract to cover the cervix before coitus.
Reason

These are chemical barriers of
conception which are reusable.
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
The scalar matrixis
\( \mathbf{A} \cdot\left[\begin{array}{cc}-1 & 3 \\ 2 & 4\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{ll}0 & 3 \\ 2 & 0\end{array}\right] \)
\( \mathbf{C} \cdot\left[\begin{array}{ll}4 & 0 \\ 0 & 4\end{array}\right] \)
D. None of these
Subject: Chemistry
Assertion
The highest oxidation state of \( O s \) is +8
Reason Osmium is a 5 d-block element.
Read the above assertion and reason
and choose the correct option from the
following.
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
The decreasing fugacity order of the following compounds is:
i. \( \boldsymbol{P h} \boldsymbol{S O}_{3}^{\ominus} \boldsymbol{i} \boldsymbol{i} . \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{S O}_{3}^{\ominus} \)
ii \( i . C_{2} H_{5} C O O^{\ominus} \) iv. \( C_{N} \)
\( \boldsymbol{v} . \boldsymbol{O} \boldsymbol{H} \)
A \( \cdot(v)>(i v)>(i i i)>(i i)>(i) \)
B. \( (i)>(i i)>(i i i)>(i v)>(v) \)
c. \( (i v)>(v)>(i i i)>(i i)>(i) \)
D. \( (i)>(i i)>(i i i)>(v)>(i v) \)
Subject: Physics
Which of the following relations is correct for electromagnetic waves:
A \( \cdot \frac{\partial^{2} E}{\partial x^{2}}=\frac{1}{c^{2}} \frac{\partial^{2} E}{\partial t^{2}} \)
\( ^{\mathrm{B}} \frac{\partial^{2} E}{\partial x^{2}}=\left(\frac{\partial E}{\partial t}\right)^{2} \)
c. \( \frac{\partial^{2} E}{\partial x^{2}}=\frac{c^{2} \partial^{2} E}{\partial t^{2}} \)
D. \( \frac{\partial^{2} E}{\partial x^{2}}=c \frac{\partial^{2} E}{\partial t^{2}} \)
Subject: Chemistry
Which of the following is not a permissible arrangement of electrons
in an atom?
A \( \cdot n=3,1=2, m=+1, s=-\frac{1}{2} \)
B \( \cdot n=4,1=0, m=0, s=-\frac{1}{2} \)
\( c \cdot n=5,1=3, m=0, s=+\frac{1}{2} \)
D. \( n=3,1=2, m=-3, s=-\frac{1}{2} \)
Subject: Physics
A stone projected at an angle \( \theta \) with horizontal from the roof of a tall
building falls on the ground after three seconds. Two seconds after the
projection it was again at the level of projection. Then the height of the building is:
A . \( 15 \mathrm{m} \)
в. \( 5 m \)
\( c .25 m \)
D. \( 20 m \)
Subject: Chemistry
One mole of ideal gas expands freely at \( 310 \mathrm{K} \) from five litre volume to 10 litre
volume. Then \( \Delta E \) and \( \Delta H \) of the process
are respectively:
A . 0 and 5 cal
B. 0 and \( (5 \times 300) \) cal
c. 0 and 0
D. 5 and 0 cal
Subject: Physics
Two cars each with mass \( M \) are
heading towards each other, one with
velocity \( v_{1}=-2 m / s \) and the other with
\( \boldsymbol{v}_{2}=\mathbf{3} \boldsymbol{m} / \boldsymbol{s} \)
What is the speed of the center of mass of the two-car system?
A \( \cdot \frac{1}{2} m / s \)
в. \( 1 m / s \)
c. \( \frac{3}{2} m / s \)
D. \( \frac{5}{2} m / s \)
E. \( 5 m / s \)
Subject: Chemistry
The iodide content of a solution was
determined by titration with cerium (IV) sulphate in the presence of \( \boldsymbol{H} \boldsymbol{C l} \), in
which \( I^{-} \) is converted to \( I_{2} . A 250 \mathrm{ml} \)
sample of the solution required \( 20 \mathrm{ml} \) of
\( 0.05 N C e^{4+} \) solution. What is the
iodide concentration in the original solution in \( g / L ? \)
A. 0.508
B. 2.032
c. 0.762
D. 0.127
Subject: Physics
topp
Q Type your question
stationary by applying a force P paralle to the plane. The direction of force pointing up the plane is taken to be positive. As P is varied from \( \boldsymbol{P}_{1}= \)
\( m g(\sin \theta-\mu \cos \theta) \) to \( P_{2}=m g(\sin \theta+ \)
\( \mu \cos \theta), \) the frictional force f versus \( P \)
graph will look like
Subject: Chemistry
An element \( X(2,8,2) \) combines
separately with \( N O_{3} \) and \( \left(S O_{4}\right)_{2} \)
\( \left(P O_{4}\right)_{3} \) radicals. Write the formulae of
the three compounds so formed. To which group of the periodic tables does the element 'X' belong? Will it form
covalent or ionic compound? Why?
Subject: Chemistry
\( S: A \) reaction \( 2 S O_{2}+O_{2} \rightleftharpoons 2 S O_{3} ; \) has
\( \boldsymbol{K}_{\boldsymbol{p}} \) at \( \boldsymbol{2} \boldsymbol{9} \boldsymbol{8} \boldsymbol{K} \) and \( \boldsymbol{5 0 0} \boldsymbol{K} \) as \( \boldsymbol{4} \boldsymbol{. 0} \times \boldsymbol{1 0}^{24} \)
and \( 8.5 \times 10^{10} \) respectively.
\( \mathrm{E}: \) The \( \boldsymbol{E}_{a} \) for the forward reaction is
lesser than \( E_{b} \) for the backward
reaction.
A. s is correct but E is wrong
B. s is wrong but E is correct
c. Both \( \mathrm{S} \) and \( \mathrm{E} \) are correct and \( \mathrm{E} \) is correct explanation 0 \( S \)
D. Both S and E are correct but E is not correct explanation of
Subject: Physics
How much heat is required to raise the
temperature of \( 150 g \) of iron from \( 20^{\circ} \mathrm{C} \)
to \( 25^{\circ} C ? \)
A . \( 350 J \)
в. \( 345 J \)
\( c .360 J \)
D. \( 330 J \)
Subject: Chemistry
An electrolytic cell is taken with two graphite rods inserted in it and connected to opposite terminals of a battery. An electric bulb is also
introduced on the circuit. Different
substances are taken in the cell and the
conductivity is tested. Identify the case
where the bulb glows most brilliantly.
A. Molten lead bromide
B. Molten wax
c. Kerosene oil
D. Barium sulphate in water
Subject: Chemistry
Which order is coorect about auidity?
\( \mathbf{A} \cdot C H_{3} C O O H>C_{6} H_{5} C O O H>C_{6} H_{5} O H \)
B \( \cdot C_{6} H_{5} C O O H>C H_{3} C O O H>C_{6} H_{5} O H \)
\( \mathbf{c} \cdot C_{6} H_{5} O H>C_{6} H_{5} C O O H>C H_{3} C O O H \)
\( \mathbf{D} \cdot C_{6} H_{5} O H>C H_{3} C O O H>C_{6} H_{5} C O O H \)
Subject: Biology
Match the scientists and their
contribution given in the columns.
Scientists \( \quad \) Contribution
A. Pasteur
p. Beer and butter milk are products of fermentation by yeast
B. Hansen \( \quad \) q. Diastase
C. Payen and \( \quad \) r. Purified rennet
Perso
D. \( \quad \) s. Streptomycin Waksman
\( A \cdot A-p, B-q, C-r, D-s \)
B. A - p, B - r, C - q, D - s
C. \( A-p, B-s, C-r, D-q \)
D. \( A-s, B-r, C-q, D-p \)
Subject: Chemistry
Bond dissociation enthalpy of EH (E =
element) bonds is given below. Which of
the compounds will act as strongest reducing agent?
\[
\begin{array}{llll}
\text { Compound } & \boldsymbol{N H}_{3} & \boldsymbol{P H}_{\boldsymbol{3}} & \boldsymbol{A} \boldsymbol{s} \boldsymbol{H}_{\boldsymbol{3}} \\
\boldsymbol{\Delta}_{\text {diss}}(E- & & & \\
& & \\
& & \\
& &
\end{array}
\]
\[
389
\]
322
\[
H) / k J m o l^{-1}
\]
\( \mathbf{A} \cdot N H_{3} \)
B \( . P H_{3} \)
\( \mathbf{c} \cdot A s H_{3} \)
D. \( S b H_{3} \)
Subject: Chemistry
Which of the following reactions will get affected by increase in pressure? Also mention whether the change will cause the reaction to go to the right or left direction
\( \boldsymbol{C H}_{4}(\boldsymbol{g})+\mathbf{2 S}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C S}_{2}(\boldsymbol{g})+ \)
\( 2 H_{2} S(g) \)
\( C O_{2}(g)+C(s) \rightleftharpoons 2 C O(g) \)
\( \mathbf{4} N \boldsymbol{H}_{3}(\boldsymbol{g})+\mathbf{5} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{4} \boldsymbol{N} \boldsymbol{O}(\boldsymbol{g})+ \)
\( 6 H_{2} O(g) \)
\( C_{2} H_{4}(g)+H_{2}(g) \rightleftharpoons C_{2} H_{6}(g) \)
\( \operatorname{COCl}_{2}(g) \rightleftharpoons C O(g)+C l_{2}(g) \)
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \)
Subject: Physics
A charged ball of mass ' \( m \) ' and positive
charge ' \( q^{\prime} \) is projected from the ground with an initial velocity \( u \) and angle of
projection \( \theta . \) At the time of projection, a vertically upward electric field is present. It is then switched off at
maximum height and a horizontal electric field of same magnitude \( \boldsymbol{E} \) is switched on in the direction of velocity. (Assume \( m g>q E) \)
Then the maximum height \( h_{m a x} \)
reached by the projectile is :
\( ^{\text {A }} \cdot \frac{u^{2} \sin ^{2} \theta}{2 g} \)
\( ^{\mathrm{B}} \frac{u^{2} \sin ^{2} \theta}{2\left(g-\frac{q E}{M}\right)} \)
c. \( \frac{u^{2} \sin ^{2} \theta}{2\left(g+\frac{q E}{M}\right)} \)
D. \( \frac{u^{2} \sin ^{2} \theta}{2\left(\frac{q E}{M}-g\right)} \)
Subject: Physics
A fruit (mass \( =50 g \) ) falls from a tree
because of gravitational attraction between the earth and the fruit. Which
of the following statements is true if \( x \) is the force exerted by the earth on the fruit and \( y \) is the force exerted by the fruit on the earth?
A. x is much greater than y
B. \( x \) and y are equal
c. y is greater than \( x \)
D. y is equal to zero
Subject: Physics
The Y of a material having a cross sectional area of \( 1 \mathrm{cm}^{2} \) is \( 2 \times 10^{12} \)
dynes/cm \( ^{2} \). The force required to double the length of the wire is:
A \( \cdot 1 \times 10^{12} \) dynes
B. 2 x 10 \( ^{12} \) dynes
c. \( 0.5 \times 10^{12} \) dynes
D. \( 4 \times 10^{12} \) dynes
Subject: Physics
Three different vibrating bodies produce three types of the sounds \( X \), Y and \( Z \) Sounds \( X \) and \( Y \) cannot be hear by a man
having normal range of hearing but sound \( z \) can be heard easily.The sound \( x \) is used to find faults and cracks in
metals.The sound similar to that which is
produced during an earthquake before the main shock wave is generated. Name one device which can produce sound like
\( X \)
A. megaphone
B. sonar
c. bulb horn
D. ear mufflers
Subject: Physics
The value of capacitance of capacitors
shown in above diagram are \( C_{1}= \)
\( \boldsymbol{C}_{2}=\boldsymbol{C}_{3}=\boldsymbol{C}_{4}=\boldsymbol{8} \boldsymbol{\mu} \mathbf{C} ; \boldsymbol{C}_{5}=\mathbf{1 0} \boldsymbol{\mu} \boldsymbol{C} \)
The equivalent capacitance between
and Q is:
\( A \cdot 8 \mu F \)
B. \( 24 \mu F \)
\( c \cdot 16 \mu F \)
D. \( 15 \mu F \)
Subject: Chemistry
Write balanced equations for the following reactions.
(a) Combustion of \( C_{2} H_{10} \) in a limited
supply of oxygen to form carbon monoxide and water.
(b)The reaction of calcium carbide with
water to form acetylene.
(c)The precipitation of calcium cyanamide from calcium carbide and nitrogen.
(d)Formation of hydrogen cyanide from methane and ammonia.
Subject: Physics
Two bodies \( m_{1} \) and \( m_{2} \) are attached to
the two ends of a string figure. The
string passes over a pulley of mass \( M \)
and radius \( R \) If \( m_{1}>m_{2} \), then the
acceleration of the system is
A \( \cdot \frac{\left.m_{1}-m_{2}+m\right) g}{m_{1}+m_{2}+m} \)
B. \( \frac{\left(m_{1}-m_{2}\right) g}{m_{1}+m_{2}} \)
c. \( \frac{\left(m_{1}+m_{2}\right) g}{m_{1}-m_{2}} \)
D. \( \frac{\left(m_{1}-m_{2}\right) g}{m_{1}-m_{2}+m / 2} \)
Subject: Physics
A body is taken to a height of \( n R \) from the surface of the earth. The ratio of the acceleration due to gravity on the
surface to that at the altitude is
A \( \cdot(n+1)^{2} \)
B \( \cdot(n+1)^{-2} \)
c. \( (n+1)^{-1} \)
D. \( (n+1) \)
Subject: Chemistry
A current of \( 9.65 A \) is passed for 3 hours between nickel electrodes immersed in
\( 0.5 \mathrm{dm}^{3} \) solution of concentration \( 2 \mathrm{mol} \)
\( \mathrm{dm}^{-3} \boldsymbol{N i}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \)
The molarity of the solution after electrolysis would be:
\( \mathbf{A} \cdot 0.46 M \)
B. \( 0.92 M \)
c. \( 1.25 M \)
D. \( 0.625 M \)
Subject: Physics
A rectangular loop of sides \( 10 \mathrm{cm} \) and 5
cm carrying a current I and 12 A is placed in different orientations as
shown in the figures above. If there is a uniform magnetic field of \( 0.3 \mathrm{T} \) in the positive z direction, in which
orientations the loop would be in (i)
stable equilibrium and (ii) unstable equilibrium?
\( A \cdot(A) \) and
(B), respectively
B. (A) and
(C), respectively
\( c \cdot(B) \) and
(D), respectively
D. (B) and
(C), respectively
Subject: Chemistry
Assertion
Carbon monoxide is considered a
compound but carbon and oxygen as elements.
Reason
A chemical element is a pure chemical substance consisting of a single type of atom distinguished by its atomic number, which is the number of protons in its atomic nucleus. While the
compound is composed of two or more separate elements.
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 ball is thrown vertically upward with speed \( 70 m / s . \) After \( 1 s, \) another ball is dropped from a height \( 185 \mathrm{m} \) in the same vertical line. At what height the balls collide?
\( \mathbf{A} \cdot 150 \mathrm{m} \)
B. \( 160 \mathrm{m} \)
c. \( 168 \mathrm{m} \)
D. 165m
Subject: Chemistry
What reagent and/or reaction sequence below would convert trans-3-hexene to
meso-3,4-hexanediol?
A \( \cdot O s O_{4},\left(C H_{3}\right)_{3} C C O O H,\left(C H_{3}\right)_{3} C O H, N a O H \)
B. \( O_{3} \) followed by \( Z n / H_{2} O \)
C. \( B_{2} H_{6} / \) diglyme followed by \( H_{2} O_{2} / N a O H \)
D. \( C H_{3} C O_{3} H \) followed by \( N a O H / H_{2} O \)
Subject: Chemistry
Identify the product(s) which will be formed by using the information provided about the reactants:
\( M g(s)+2 H C l \rightarrow \)
A \( . M g C l_{2}+F e \)
B. \( M g F e+C l_{2} \)
c. \( M g C l_{3}+F e \)
D. \( M g C l_{2}+H_{2} \)
E \( . M g+F e+C l_{2} \)
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left[\cos ^{2}\left(\tan ^{-1}\left(\sin \left(\cot ^{-1} x\right)\right)\right)\right]= \)
A. \( \frac{2}{\left(x^{2}+2\right)^{2}} \)
B. \( \frac{2 x}{\left(x^{2}+2\right)^{2}} \)
c. \( \frac{\left(x^{2}+1\right)}{\left(x^{2}+2\right)} \)
D. \( \frac{-2 x}{\left(x^{2}-1\right)^{2}} \)
Subject: Maths
Find the value of \( f(2), \) so that the function \( \boldsymbol{f}(\boldsymbol{x})=\frac{12 \boldsymbol{x}-\mathbf{2 4}}{(\mathbf{4}+\mathbf{2} \boldsymbol{x})^{1 / 3}-\mathbf{2}}, \boldsymbol{x} \neq \mathbf{2} \)
is continuous everywhere
Subject: Maths
\( \tan \left(2 \cos ^{-1} \frac{3}{5}\right)= \)
\( A \cdot \frac{8}{3} \)
B . \( \frac{24}{25} \)
\( c \cdot \frac{7}{25} \)
\( D \cdot \frac{-24}{7} \)
Subject: Chemistry
The ion(s) that act/s as oxidizing agent in solution is/ are :
A \( \cdot T l^{+} \) and \( A l^{3} \)
B . \( B^{3+} \) and \( A l^{3+} \)
C \( \cdot T l^{3+} \) only
D. \( B^{3+} \) only