AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Calculate the enthalpy change when
\( 50 m L \) of \( 0.01 M C a(O H)_{2} \) reacts with
\( 25 m L \) of \( 0.01 M H C l . \) Given that \( \Delta H^{o} \)
neutralisation of a strong acid and a
strong base is \( 140 k \) cal \( m o l^{-1} \)
A . 14 kcall \( l \)
B. 35 kcall
c. \( 10 \mathrm{kcal} \)
D. 7.5k call
Subject: Chemistry
The value of \( (\Delta H-\Delta U) \) the formation
of carbon monoxide from its elements
at \( 298 K \) is:
A. \( -2477.57 \mathrm{J} \) mol \( ^{-1} \)
1
В. \( +2477.57 \mathrm{J} \) mol \( ^{-1} \)
c. \( -1238.78 \mathrm{J} \mathrm{mol}^{-1} \)
D. \( +1238.78 \mathrm{J} \mathrm{mol}^{-1} \)
Subject: Chemistry
For a reaction, \( 2 N O(g)+O_{2}(g) \rightarrow \)
\( \mathbf{2} N \boldsymbol{O}_{2}(\boldsymbol{g}) \)
Rate \( =\boldsymbol{k}[\boldsymbol{N} \boldsymbol{O}]^{2}\left[\boldsymbol{O}_{2}\right] \) if the volume of the
reaction vessel is doubled, then the rate
of the reaction:
A. will diminish to \( 1 / 4 \) of initial value
B. will diminish to \( 1 / 8 \) of initial value
c. will grow 4 times
D. will grow 8 times
Subject: Physics
Choose the INCORRECT relation among the following:
A \( \cdot \) Ampere \( =\frac{\text { Coulomb }}{\text { Second }} \)
B. \( \mathrm{v}_{\text {olt }}=\frac{\text { Coulomb }}{\text { Joule }} \)
\( ^{\mathbf{c}} \cdot \mathrm{O}_{\mathrm{hm}}=\frac{\mathrm{V}_{\mathrm{olt}}}{\mathrm{Ampere}} \)
D. 1 Coulomb = 6.25 \( \times 10^{18} \) electron charge
Subject: Maths
If \( y=\frac{a x+b}{(x-1)(x-4)} \) has a turning
value at (2,-1) find \( a \& b \)
A \( . a=0, b=0 \)
В. \( a=1, b=0 \)
c. \( a=0, b=1 \)
D. \( a=1, b=1 \)
Subject: Physics
What amount of power is generated in
that resistance?
\( P=\frac{2 v^{2} B^{2} d^{2} R}{\left(R+\frac{2 \rho d}{S}\right)^{2}} \)
\( P=\frac{2 v^{2} B^{2} d^{2} R}{\left(R+\frac{\rho d}{S}\right)^{2}} \)
\( \mathbf{C} \cdot p=\frac{v^{2} B^{2} d^{2} R}{\left(R+\frac{2 \rho d}{S}\right)^{2}} \)
\( P=\frac{v^{2} B^{2} d^{2} R}{\left(R+\frac{\rho d}{S}\right)^{2}} \)
Subject: Maths
Fill in the blanks:
The volume of a cube \( =-----x \)
\( x \)
A. side \( \times \) length \( \times \) width
B. side \( \times \) height \( \times \) side
\( c \cdot \) side \( x \) side \( x \) side
D. side \( \times \) length \( \times \) breadth
Subject: Chemistry
Calculate the equilibrium constant at 25 degrees celsius given the Standard
Free Energy value of \( -107.2 \mathrm{kJ} \)
A . - 43.2
B. 43.2
c. \( 6.18 \times 10^{8} \)
D. 1.04
E . \( 6.18 \times 10^{9} \)
Subject: Maths
If the vectors \( a=\left(c \log _{2} x\right) \hat{i}-6 \hat{j}+3 \hat{k} \)
and \( b=\left(\log _{2} x\right) \hat{i}+2 \hat{j}+\left(2 c \log _{2} x\right) \hat{k} \)
make an obtuse angle for any \( \boldsymbol{x} \in \)
\( (0, \infty), \) then \( c \) belongs to
\( \mathbf{A} \cdot(-\infty, 0) \)
в. \( \left(-\infty,-\frac{4}{3}\right) \)
c. \( \left(-\frac{4}{3}, 0\right) \)
D. \( \left(-\frac{4}{3}, \infty\right) \)
Subject: Chemistry
A silver wire dipped in \( 0.1 \mathrm{M} \mathrm{HCl} \) solution saturated with AgCl develops a potential -0.25V. If \( E^{0}_{A g / A g^{+}}= \)
\( -0.799 V, K_{S P} \) of AgCl in pure water will
be
A \( .2 .95 \times 10^{-11} \)
B . \( 5.30 \times 10^{-11} \)
c. \( 3.95 \times 10^{-11} \)
D. \( 1.95 \times 10^{-11} \)
Subject: Physics
Two objects of masses \( m_{1} \) and \( m_{2} \) having the same size are dropped simultaneously from heights
\( h_{1} \) and \( h_{2} \) respectively. Find out the ratio of time they would take in reaching the ground.
A \( \cdot \sqrt{\frac{h_{1}}{h_{2}}} \)
B. \( \sqrt{\frac{h_{2}}{h_{1}}} \)
c. \( \frac{h_{1}}{h_{2}} \)
D. \( \frac{h_{2}}{h_{1}} \)
Subject: Maths
Entry to a certain University is determined by a national test. The scores on this test are normally
distributed with a mean of 500 and a
standard deviation of \( 100 . \) Tom wants to
be admitted to this university and he knows that he must score better than at
least \( 70 \% \) of the students who took the
test. Tom takes the test and scores 585
Tom does better than what percentage
of students?
A. \( 89.23 \% \)
B. \( 77.26 \% \)
c. \( 70.23 \% \)
D. \( 80.23 \% \)
Subject: Chemistry
What is the hybridisation of carbon and oxygen in electronic structure of ether?
A \( \cdot s p^{3} \) and \( s p^{2} \)
B. \( s p^{3} \) and \( s p^{3} \)
c. \( s p \) and \( s p \)
D. \( s p^{2} \) and \( s p^{2} \)
Subject: Maths
Assertion
If a and b are positive and [x] denotes
the greatest integer \( \leq x \), then \( \lim _{x \rightarrow 0^{+}} \frac{x}{a}\left[\frac{b}{x}\right]=\frac{b}{a} \)
Reason
\( \lim _{x \rightarrow \infty} \frac{\{x\}}{x}=0, \) where denotes fractional
part of \( \mathbf{x} \)
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
If \( \frac{\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1}}{\boldsymbol{x}^{2}+\mathbf{2} \boldsymbol{x}+\mathbf{1}}=\boldsymbol{A}+\frac{\boldsymbol{B}}{\boldsymbol{x}+\mathbf{1}}+ \)
\( \frac{C}{(x+1)^{2}} \) then \( A-B= \)
A . \( 4 C \)
B. \( 4 C+1 \)
\( c .3 C \)
D. \( 2 C \)
Subject: Maths
Consider the following statements:
1. The mean and median are equal in
symmetric distribution.
2. The range is the difference between
the maximum value and the minimum
value in the data.
3. The sum of the areas of the rectangle
in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.
Which of the above statements are
correct?
A. 1 and 2 only
B. 2 and 3 only
c. 1 and 3 only
D. 1,2 and 3
Subject: Maths
How many non-negative integral values of \( x \) satisfy the equation \( \left[\frac{x}{5}\right]=\left[\frac{x}{7}\right] ? \)
(Here \( [x] \) denotes the greatest integer
less than or equal to \( x \). For example \( [3.4]=3 \) and \( [-2.3=-3) \)
Subject: Maths
Evaluate \( : \int \frac{\cos x-\sin x}{\sqrt{8-\sin 2 x}} d x \)
A \( \cdot \sin ^{-1}\left(\frac{1}{3}(\sin x+\cos x)\right) \)
B \( \cdot \sin ^{-1}\left(\frac{1}{2}(\sin x+\cos x)\right) \)
c. \( \sin ^{-1}\left(\frac{1}{3}(\sin x-\cos x)\right) \)
D. \( \cos ^{-1}\left(\frac{1}{3}(\sin x+\cos x)\right) \)
Subject: Biology
Assertion
Earthworms enhance porosity as they
move through the soil and this enriches the growth of a plant.
Reason
Roots take up air from the air spaces present between the soil particles.
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
In a chemical system, \( \boldsymbol{A}(s) \rightleftharpoons 2 \boldsymbol{B}(\boldsymbol{g})+ \)
\( 3 C(g), \) if partial pressure of \( C \) is
doubled, then partial pressure of \( \boldsymbol{B} \) will
be:
A. \( 2 \sqrt{2} \) times the original value
B. \( \frac{1}{2} \) times the original value
c. 2 times the original value
D. \( \frac{1}{2 \sqrt{2}} \) times the original value
Subject: Physics
In the circuit shown, the potential
difference across the \( 3 \mu F \) capacitor is
\( \mathrm{V}, \) and the equivalent capacitance
between \( A \) and \( B \) is \( C_{A B} \)

This question has multiple correct options
\( \mathbf{A} \cdot C_{A B}=4 \mu F \)
в. \( c_{A B}=\frac{18}{11} \mu F \)
c. \( v=20 \)
D. \( V=40 \)
Subject: Physics
If \( 1 \mathrm{mg} \) of \( U^{235} \) is completely annihilated,
the energy liberated is
\( \begin{array}{ll}\text { A. } & 9 \times 10^{10} J\end{array} \)
в. \( \quad 9 \times 10^{19} J \)
\( \begin{array}{ll}\text { с. } & 9 \times 10^{18} J\end{array} \)
D. \( \quad 9 \times 10^{17} J \)
Subject: Maths
Find the difference between \( \boldsymbol{P}(\boldsymbol{x})= \)
\( \boldsymbol{x}^{4}-\boldsymbol{3} \boldsymbol{x}^{2}+\mathbf{4} \boldsymbol{x}+\mathbf{5}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}^{2}+\mathbf{1}-\boldsymbol{x} \)
Subject: Chemistry
\( \boldsymbol{C l}_{2} \Leftrightarrow \mathbf{2} \boldsymbol{C l} \)
\( \boldsymbol{C H}_{4}+\boldsymbol{C l} \rightarrow \boldsymbol{C H}_{3}+\boldsymbol{H} \boldsymbol{C l}(\boldsymbol{s l o w}) \)
\( \boldsymbol{C H}_{3}+\boldsymbol{C l}_{2} \rightarrow \boldsymbol{C H}_{2} \boldsymbol{C l}+\boldsymbol{C l} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C l}+\boldsymbol{C l} \rightarrow \boldsymbol{C H}_{2} \boldsymbol{C l}_{2}+\boldsymbol{H} \)
\( \boldsymbol{H}+\boldsymbol{C l} \rightarrow \boldsymbol{H} \boldsymbol{C l} \)
The above mechanism shows the overall
reaction between chlorine gas and methane gas to form dichloromethane gas and hydrogen monochloride gas. The reaction is carried out in the gas
state with no ions being formed during the reaction.

Which of the following statements is not supported by the mechanism?
A. \( C H_{3} C l \) is an intermediate because it is made in step and used in step 4
B. The order of the reaction with respect to \( C H_{4} \) is one since step 2 is the slowest step, making the rate law for step 2: rate \( =k\left[C H_{4}\right][C l] \)
c. The first step is the only equilibrium step in the reaction
D. The overall rate law for the reaction is: rate\( = \) \( k\left[C H_{4}\right]\left[C l_{2}\right] \)
Subject: Maths
The angle of elevation of a jet plane from a point \( A \) on the ground is \( 60^{0} \). After a
flight of 15 seconds, the angle of elevation changes to \( 30^{0} . \) If the plane at a constant height of \( 1500 \sqrt{3} m \), then the
speed of jet plane is :
A. \( 200 \mathrm{m} / \mathrm{s} \)
B. 1980 m/s
c. \( 240 \mathrm{m} / \mathrm{s} \)
D. 220 \( \mathrm{m} / \mathrm{s} \)
Subject: Biology
Match the following with reference to
Taenia solium.
List-I List-II
(A) Mehlis
(I) Tegument formation glands
(B) Vitelline
(II) Osmoregulation and gland excretion
\( (C) \)
(III) Lubricate passage of Mesenchymal capsules into uterus cel
(D) Flame
(IV) Secretion of embryophore cells
(V) Capsule formation around zygote
\( A \cdot A-(111), B-(V), C-(11), D-(1 V) \)
B. \( A-(V), B-(1), C-(11), D-(I V) \)
C \( \cdot A-(\mid V), B-(|I|), C-(1), D-(\mid I) \)
D. \( A-(111), B-(V), C-(1), D-(11) \)
Subject: Physics
A charged particle moves in a gravityfree space without change in velocity. Which of the following is/are possible? This question has multiple correct options
A. \( E=0, B=0 \)
0
B. \( E=0, B \neq 0 \)
c. \( E \neq 0, B=0 \)
D. \( E \neq 0, B \neq 0 \)
Subject: Chemistry
The energy of activation and specific rate constant for a first order reaction
at \( 25^{\circ} \mathrm{C} \) are \( 100 \mathrm{kJ} / \mathrm{mole} \) and \( 3.46 \times \)
\( 10^{-5} \sec ^{-1} \) respectively. Determine the
temperature at which half-life of the reaction is 2 hours:
\( A \cdot 306 k \)
B. 310 k
\( c \cdot 234 k \)
D. 280 k
Subject: Chemistry
Assertion: When two solutions are
mixed, if the ionic product has a small value, precipitates won't be formed.
Reason: If an ionic product is less than
\( k_{s} p, \) no precipitation will occur
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but the Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Physics
Charges +50,+20,+30 and -100 nano coulomb are placed at the four corners of a square of side \( 5 \sqrt{2} \mathrm{cm} . \) The potential at
the intersection of diagonals is :
A \( \cdot 1.8 \sqrt{2} \times 10^{4} V \)
\( V \)
B. \( 3.6 \times 10^{4} V \)
c. \( 1.8 \times 10^{4} V \)
D. Zero
Subject: Chemistry
The standard entropies of \( N_{2}(g), H_{2}(g) \)
and \( N H_{3}(g) \) are \( 191.5,130.5,192.6 J K^{-1} \)
mol \( ^{-1} \).The value of \( \Delta S^{\circ} \) of formation of
ammonia is?
Subject: Chemistry
Two liquids \( A \) and \( B \) form an ideal
solution. What is the vapour pressure of solution containing 2 moles of \( A \) and 3
moles of \( B \) at \( 300 K ? \)
[Given: At \( 300 K \), vapour pressure of
pure liquid \( \boldsymbol{A}\left(\boldsymbol{P}_{A}^{\circ}\right)=\mathbf{1 0 0} \) torr, Vapour
pressure of pure liquid \( B\left(P_{B}^{\circ}\right)= \) \( 300 \text { tor } r] \)
A. 200 torr
B. 220 torr
c. 180 tor
D. None of these
Subject: Maths
\( \lim _{x \rightarrow \pi / 2} \frac{\left(1-\tan \frac{x}{2}\right)}{\left(1+\tan \frac{x}{2}\right)} \frac{(1-\sin x)}{(\pi-2 x)^{3}} \) is equal
to -
A. 0
в. \( \frac{1}{32} \)
\( c \cdot \alpha \)
D.
Subject: Physics
A thermodynamic system goes from
states (i) \( P_{1}, V \) to \( 2 P_{1}, V \) (ii) \( P_{1}, V_{1} \) to
\( P_{1}, 2 V_{1} . \) Then work done in the two
cases is respectively
A .0,0
в. \( 0, P_{1} V_{1} \)
c. \( P_{1} V_{1}, 0 \)
D. \( P_{1} V_{1}, P_{1} V_{1} \)
Subject: Chemistry
Mole fraction of ethanol \( \left(C_{2} H_{5} O H\right) \) in
ethanol-water system is \( 0.25 . \) Thus, it has:
This question has multiple correct options
A. \( 25 \% \) ethanol by weight of solution
B. \( 75 \% \) water by weight of solution
c. \( 46 \% \) ethanol by weight of solution
D. 54\% water by weight of solution
Subject: Chemistry
One mole of \( N_{2} O_{4}(g) \) at \( 300 K \) is kept in a closed container under one
atmosphere. It is heated to \( 600 K \) when
\( 20 \% \) by mass of \( N_{2} O_{4}(g) \) decomposes
to \( N O_{2}(g) . \) The resultant pressure is:
A. 1.2 atm
B. 2.4 atm
\( c .2 .0 \) atm
D. 1.0 atm
Subject: Chemistry
Which of the following statements is/are correct?
i. \( H N O_{3} \) solution is not obeying the
Raoult's law.
ii. More the difference in vapour
pressure of pure compounds forming a
mixture,easier to separate them
through distillation.
iii. In Fig. \( 2.36(a), T_{2} \) is less than \( T_{1} \)
because the liquid of composition \( \mathrm{Q} \) is richer in more volatile component.
A. (ii) and (iii)
B. (ii)
\( c \cdot \) (i) and (ii)
D. (i), (ii) and (iii)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\boldsymbol{4} & \boldsymbol{1} & \boldsymbol{0} \\ \boldsymbol{1} & \boldsymbol{-} \boldsymbol{2} & \boldsymbol{2}\end{array}\right], \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}\boldsymbol{2} & \boldsymbol{0} & -\boldsymbol{1} \\ \boldsymbol{3} & \boldsymbol{1} & \boldsymbol{4}\end{array}\right], \boldsymbol{C}=\left[\begin{array}{c}\boldsymbol{1} \\ \boldsymbol{2} \\ -\mathbf{1}\end{array}\right] \) and \( \left(\boldsymbol{3} \boldsymbol{B}-\boldsymbol{t}_{\boldsymbol{}}\right) \)
\( \boldsymbol{2} \boldsymbol{A}) \boldsymbol{C}+\boldsymbol{2} \boldsymbol{X}=\boldsymbol{0} \operatorname{then} \boldsymbol{X}= \)
A \( \cdot \frac{1}{2}\left[\begin{array}{c}3 \\ 13\end{array}\right] \)
B \( \cdot \frac{1}{2}\left[\begin{array}{c}3 \\ -13\end{array}\right] \)
c. \( \frac{1}{2}\left[\begin{array}{c}-3 \\ 13\end{array}\right] \)
D. \( \left[\begin{array}{c}3 \\ -13\end{array}\right] \)
Subject: Maths
Let \( \boldsymbol{A}=\left\{\boldsymbol{a}_{1}, \boldsymbol{a}_{2}, \boldsymbol{a}_{3}, \boldsymbol{a}_{4} \boldsymbol{a}_{5}, \boldsymbol{a}_{6}\right\} \) and \( \boldsymbol{B}= \)
\( \left\{b_{1}, b_{2}, b_{3}\right\} . \) The number of functions of
\( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B} \) such that it is onto and there
are exactly three elements in \( A \) such that \( \boldsymbol{f}(\boldsymbol{A})=\boldsymbol{b}, \) is
A . 75
B. 90
c. 100
D. 120
Subject: Chemistry
Bleaching powder slowly decomposes to
form:
A \( \cdot C a C l_{2}+C a\left(C l O_{3}\right)_{2} \)
в. \( C a O+C l_{2} \)
c. \( C a C l_{2}+C a(O C l)_{2} \)
D. \( C a C O_{3}+C l_{2} \)
Subject: Chemistry
\( 2 H N O_{3}+C a C O_{3} \longrightarrow \)
A. \( C a\left(N O_{3}\right)_{2}+H_{2} O+C O_{2} \)
в. \( C a\left(N O_{3}\right)_{2}+C O_{2} \)
c. \( \operatorname{Ca}\left(N O_{3}\right)_{2}+H_{2} O \)
D. None of the above
Subject: Physics
An unpolarized beam of light is incident on a group of four polarizing sheets,
which are arranged in such a way that the characteristic direction of each
polarizing sheet makes an angle of \( 30^{\circ} \)
with that of the preceding sheet. The fraction of incident unpolarized light transmitted is
A \( \cdot \frac{27}{128} \)
B. \( \frac{128}{27} \)
c. \( \frac{37}{128} \)
D. \( \frac{128}{37} \)
Subject: Physics
During inelastic collision of two
particles.
\( \mathbf{A} \cdot(K E)_{\text {final }}=(K E)_{\text {initial }} \)
B. \( (K E)_{\text {final }} \) must be greater than \( (K E)_{\text {initial}} \)
\( \mathbf{C} \cdot(K E)_{\text {final}} \) must be less than \( (K E)_{\text {initial}} \)
D. \( (K E)_{\text {final }} \) must be greater or less than \( (K E)_{\text {initial }} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{0} & \mathbf{2} & \mathbf{3} \\ \mathbf{3} & \mathbf{5} & \mathbf{7}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{3} & \mathbf{7} \\ \mathbf{2} & \mathbf{4} & \mathbf{1}\end{array}\right] \)
if \( \boldsymbol{A}+\boldsymbol{B}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{5} & \mathbf{1 0} \\ \mathbf{5} & \boldsymbol{k} & \mathbf{8}\end{array}\right] \)
Find the value of \( \mathbf{k} \)
\( A \cdot 9 \)
B. 4
\( c \cdot 5 \)
\( D \)
Subject: Physics
Assertion: In forced oscillations, the
steady state motion of the particle is simple harmonic. Reason : Then the frequency of particle after the free oscillations die out, is the
natural frequency of the particle.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false
Subject: Physics
Total normal electric field =
\( \mathbf{A} \cdot \epsilon_{0} \vec{E} \cdot \overrightarrow{d S} \)
в. \( \vec{E} \cdot \overrightarrow{d S} \)
\( \mathbf{c} \cdot \epsilon_{0} \vec{E} \)
D. \( \epsilon_{0} \overline{d S} \)
Subject: Maths
If \( \boldsymbol{A}=\{\boldsymbol{x}: \boldsymbol{x} \in \boldsymbol{N}, \boldsymbol{x}<\mathbf{6}\} \) and \( \boldsymbol{B}= \)
\( \{x: x \in N, 3<x<8\}, \) then show that
\( A-B \neq B-A \) with the help of Venn
diagram.
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{- 1} & \mathbf{1} \\ \mathbf{0} & \mathbf{2} & -\mathbf{3} \\ \mathbf{2} & \mathbf{1} & \mathbf{0}\end{array}\right| \) and \( \boldsymbol{B}=(\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}) \)
and \( C=5 A, \) then \( \frac{|a d j B|}{|C|} \) is?
\( \mathbf{A} \cdot \mathbf{5} \)
B . 25
c. -1
D.
Subject: Chemistry
The standard potential of the following
cells is \( 0.23 \mathrm{V} \) at \( 15^{\circ} \mathrm{C} \) and \( 0.21 \mathrm{V} \) at \( 35^{\circ} \mathrm{C} \)
\( \boldsymbol{P t}\left|\boldsymbol{H}_{2}(\boldsymbol{g})\right| \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a q})|\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}(\boldsymbol{s})| \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \)
Calculate \( -\Delta H^{o} \) (in \( \mathrm{kJ} \) ) for the cell
reaction by assuming that these quantities remain unchanged in the range \( 15^{\circ} \mathrm{C} \) to \( 35^{\circ} \mathrm{C}( \) to the nearest integer)
Subject: Chemistry
In the refining of iron, phosphorous
separates as:
\( \mathbf{A} \cdot \operatorname{slag} C a_{3}\left(P O_{4}\right) \)
B. volatile, \( P_{2} O_{5} \)
c. slag, \( F e P O_{4} \)
D. \( C a_{3} P_{2} \)
Subject: Chemistry
The significance of \( \boldsymbol{T} \boldsymbol{\Delta} \boldsymbol{S} \) in \( \boldsymbol{\Delta} \boldsymbol{G}= \)
\( \Delta H-T \Delta S \) is a quantitative measure
of the randomness of the:
B. space
c. both of the above
D. none of the above
Subject: Maths
Factorize:
\( 4 a^{2} b-9 b^{3} \)
\( \mathbf{A} \cdot b(2 a+3 b)(2 a+3 b) \)
B. \( b(2 a+3 b)(a-3 b) \)
\( \mathbf{c} \cdot b(a+3 b)(2 a-3 b) \)
D. \( b(2 a+3 b)(2 a-3 b) \)
Subject: Physics
To which of the following the angular velocity of the electron in the n-th Bohr orbit is proportional?
\( \mathbf{A} \cdot n^{2} \)
в. \( \frac{1}{n^{2}} \)
c. \( \frac{1}{n^{\frac{3}{2}}} \)
D. \( \frac{1}{n^{3}} \)
Subject: Biology
The figures given show the types of coelom. Identify them and select the correct group of organisms which
possess them.
A. A - Annelids, B - Aschelminthes, C - Platyhelminthes
B. A - Molluscs, B - Arthropods, C - Platyhelminthes
c. A - Echinoderms, B - Aschelminthes, C - Annelids
D. A - Echinoderms, B - Arthropods, C - Platyhelminthes
Subject: Maths
The minimum value of the sum of real
numbers \( a^{-5}, a^{-4}, 3 a^{-3}, 1, a^{8} \) and \( a^{10} \)
with \( a>0 \) is
\( \mathbf{A} \cdot \mathbf{6} \)
B. 7
c. 8
D.
Subject: Chemistry
For the reaction \( : \boldsymbol{C l}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{2} \boldsymbol{C l}(\boldsymbol{g}) \)
\( A \cdot \Delta H \) is positive, \( \Delta \) s is positive
B. \( \Delta \) H is positive, \( \Delta \) s is negative
c. \( \Delta \) H is negative, \( \Delta \) s is negative
D. \( \Delta \) H is negative, \( \Delta \) s is positive
Subject: Physics
Assertion
When an object is placed between two plane parallel mirrors, then all the images found are of equal intensity.
Reason

In case of plane parallel mirrors, only two images are possible.
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
Three prisms 1,2 and 3 have \( A=6^{\circ} \)
but refractive indices are 1.4,1.5,1.6
and their angles of deviation are
\( \boldsymbol{\delta}_{1}, \boldsymbol{\delta}_{2}, \boldsymbol{\delta}_{3} \) respectively. Then
\( \mathbf{A} \cdot \delta_{3}>\delta_{2}>\delta_{1} \)
В \( \cdot \delta_{1}>\delta_{2}>\delta_{3} \)
\( \mathbf{c} \cdot \delta_{2}>\delta_{1}>\delta_{3} \)
D. \( \delta_{1}=\delta_{2}=\delta_{3} \)
Subject: Physics
The present day abundances of the isotopes \( \bigcup^{238} \) and \( U^{235} \) are in the ratio
of \( 128: 1 . \) They have half lives of \( 4.5 \times \)
\( 10^{9} \) years and \( 7 \times 10^{8} \) years
respectively and assume that the equal amount of each isotope existed at the
time of formation of the earth. If age of earth is \( \frac{49 X}{76} \times 10^{9} \) years, then calculate \( X \)
Subject: Maths
If \( z_{1}=a+i b \) and \( z_{2}=c+i d \) are
complex numbers such that \( \left|z_{1}\right|= \)
\( \left|z_{2}\right|=1 \) and \( \operatorname{Re}\left(z_{1} \bar{z}_{2}\right)=0, \) then the pair
of complex numbers \( \omega_{1}=a+i c \) and
\( \omega_{2}=b+i d \) satisfies
This question has multiple correct options
\( \mathbf{A} \cdot\left|\omega_{1}\right|=1 \)
В \( \cdot\left|\omega_{2}\right|=1 \)
c. \( \operatorname{Re}\left(\omega_{1} \overline{\omega_{2}}\right)=0 \)
D. \( \omega_{1} \bar{\omega}^{2}=0 \)
Subject: Physics
toppr ócin
Q Type your question
conductor as shown. Now as the point
charge \( Q \) is pushed away from
conductor, the potential difference
\( \left(V_{A}-V_{B}\right) \) between two points \( A \) and
\( B \) within the cavity of sphere remains
constant
Reason
The electric field due to charge on outer
surface of conductor and outside the
conductor is zero at all points inside the
conductor
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
For the reaction \( 2 A l+F e_{2} O_{3} \longrightarrow \)
\( 2 F e+A l_{2} O_{3}, \) the standard heat
enthalpy of \( \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3} \) and \( \boldsymbol{A} \boldsymbol{l}_{2} \boldsymbol{O}_{3} \) are
-196.5 and -399.1 kcal respectively.
\( \Delta H^{\circ} \) for the reaction is:
\( \mathbf{A} \cdot-252.4 k c a l \)
в. -135.5 kcal
c. \( -202.6 k c a l \)
D. none of the above
Subject: Maths
The value of the sum \( \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right) \) where \( i=\sqrt{-1}, \) equals
\( \mathbf{A} \cdot i \)
B . \( i-1 \)
\( c \cdot-i \)
\( D \)