AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The value of \( n \stackrel{l i m}{\longrightarrow} \)
\( \infty \frac{1 . n+2 .(n-1)+3 .(n-2)+\ldots+n}{1^{2}+2^{2}+\ldots+n^{2}} \)
is
A .
B. - -
\( c \cdot \frac{1}{\sqrt{2}} \)
D.
Subject: Chemistry
The first and second dissociation
constant of an acid \( \boldsymbol{H}_{2} \boldsymbol{A} \) are \( \mathbf{1 . 0} \times \)
\( \mathbf{1 0}^{-5} \) and \( \mathbf{5 . 0} \times \mathbf{1 0}^{-\mathbf{1 0}} \) respectively. The
over all dissociation constant of the
acid will be:
A. \( 5.0 \times 10^{-5} \)
В. \( 5.0 \times 10^{15} \)
c. \( 5.0 \times 10^{-15} \)
D. \( 0.2 \times 10^{5} \)
Subject: Chemistry
toppr I
Q Type your question
a. \( \boldsymbol{C H}_{\mathbf{3}}-\boldsymbol{S}-\boldsymbol{C H}_{\mathbf{3}} \)
b. \( \boldsymbol{C H}_{\mathbf{3}}-\boldsymbol{C N} \)
c. \( \boldsymbol{C H}_{\mathbf{3}}-\boldsymbol{C u} \)
\( \mathbf{A} \cdot \) a. \( C H_{3}-\tilde{S}-C H_{3} \rightarrow \stackrel{\oplus}{C} H_{3}+\stackrel{\ominus}{S} C H_{3} \)
b. \( C H_{3}-\tilde{C} N \rightarrow C H_{3}+\stackrel{\ominus}{C} N \)
c. \( C \hat{H}_{3}-C u \rightarrow \stackrel{\ominus}{C} H_{3}+C u \)
\( (C u \text { is more electropositive than } C) \)
B \( \cdot \) a. \( C H_{3}-S-C H_{3} \rightarrow \stackrel{\ominus}{C} H_{3}+\stackrel{\oplus}{S} C H_{3} \)
\( \mathrm{b} . \mathrm{CH}_{3}-\widetilde{\mathrm{C}} \mathrm{N} \rightarrow^{\oplus} \mathrm{CH}_{3}+^{\ominus} \mathrm{C} N \)
c. \( C \stackrel{\hat{H}_{3}}{-C u} \rightarrow \stackrel{\oplus}{C H_{3}}+C u \)
\( (C u \text { is more electropositive than } C) \)
\( \mathbf{c} \cdot \) а. \( C H_{3}-\tilde{S}-C H_{3} \rightarrow \stackrel{\oplus}{C} H_{3}+\stackrel{\ominus}{S} C H_{3} \)
\( \mathrm{b} . \mathrm{CH}_{3}-\widetilde{\mathrm{C}} \mathrm{N} \rightarrow \stackrel{\oplus}{\mathrm{C}} \mathrm{H}_{3}+^{\ominus} \mathrm{C} N \)
c. \( C \hat{H}_{3}-C u \rightarrow \stackrel{\ominus}{C} H_{3}+C u \)
\( (C u \text { is more electropositive than } C) \)
D. a. \( C H_{3}-S-C H_{3} \rightarrow C H_{3}+S C H_{3} \)
b. \( C H_{3}-\tilde{C} N \rightarrow C H_{3}+\stackrel{\ominus}{C} N \)
c. \( C \stackrel{\Omega}{H}_{3}-C u \rightarrow \stackrel{\oplus}{C} H_{3}+C u \)
\( (C u \text { is more electronegative than } C) \)
Subject: Chemistry
\( C H_{3} \)
The reaction, \( C H_{3}-C H-C H_{2}- \)
\( \boldsymbol{O}-\boldsymbol{C H}_{2} \boldsymbol{C H}_{3}+\boldsymbol{H} \boldsymbol{I} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} ? \)
Which of the following compound will be formed?
\( \mathbf{A} \cdot C H_{3}-C H-C H_{2}-I+C H_{3} C H_{2} O H \)
\( \left._{C H_{3}}^{\prime}\right|_{C} \)
в. \( C H_{3}-C H-C H_{3}+C H_{3} C H_{2} O H \)
I \( _{C H_{3}} \)
c. \( C H_{3}-\underset{C H_{3}}{C H}-C H_{2} O H+C H_{3} C H_{3} \)
D. \( C H_{3}-C H-C H_{2} O H+C H_{3} C H_{2} I \)
\[
\begin{array}{l}_{C H_{3}}\end{array}
\]
Subject: Maths
The coefficient of \( x^{2} \) in the expansion of
the determinant
\( \left|\begin{array}{ccc}x^{2} & x^{3}+1 & x^{5}+2 \\ x^{3}+3 & x^{2}+x & x^{3}+x^{4} \\ x+4 & x^{3}+x^{4} & 2^{3}\end{array}\right| \) is
A . -10
B. -8
\( c .-2 \)
D. - 6
E.
Subject: Chemistry
What will be the molality of the solution containing 18.25 g of \( H C l \) gas in 500 g of water?
\( \mathbf{A} \cdot 0.1 \mathrm{m} \)
B. \( 1 \mathrm{m} \)
c. \( 0.5 \mathrm{m} \)
D. 2 \( m \)
Subject: Maths
The value of
\( \int_{1}^{2}[\boldsymbol{f}\{\boldsymbol{g}(\boldsymbol{x})\}]^{-1} \cdot \boldsymbol{f}^{\prime}\{\boldsymbol{g}(\boldsymbol{x})\} \cdot \boldsymbol{g}^{\prime}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x} \)
where \( g(1)=g(2), \) is equal to?
A . 1
B . 2
c. 0
D. none of these
Subject: Physics
In Bohr's model of hydrogen atom, let \( P E \) represent potential energy and \( T E \) the total energy. In going to a higher
orbit,
A. \( P E \) increases, \( T E \) decreases
B. \( P E \) decreases, \( T E \) increases
c. \( P E \) increases, \( T E \) increases
D. \( P E \) decreases, \( T E \) decreases
Subject: Maths
The points \( A, B \) and \( C \) on the given
number line represents
A \( \cdot \frac{-3}{10}, \frac{-1}{10}, \frac{3}{4} \)
B. \( \frac{-3}{10}, \frac{1}{10}, \frac{3}{4} \)
c. \( \frac{3}{10}, \frac{-1}{10}, \frac{-3}{4} \)
D. 4,-1,3
Subject: Biology
Which is of the following is the correct
order in evolutionary history of man?
A. Peking man \( \rightarrow \) Habilus man \( \rightarrow \) Neanderthal man \( \rightarrow \) Cro-Magnon man
B. Peking man \( \rightarrow \) Heidelberg man \( \rightarrow \) Neanderthal man \( \rightarrow \) Cro-Magnon man
C. Peking man \( \rightarrow \) Neanderthal \( \operatorname{man} \rightarrow \) Homo sapiens \( \rightarrow \) Heidelberg man
D. Peking man \( \rightarrow \) Homo sapeins \( \rightarrow \) Neanderthal \( \operatorname{man} \rightarrow \) Cro-Magnon mann
Subject: Chemistry
The IUPAC name of the compound
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)-\boldsymbol{C H}_{2}-\boldsymbol{C} \equiv \boldsymbol{C}- \)
\( C H_{3} \) is 2 -methyl-4-hexyne.
A. True
B. False
Subject: Physics
Assertion
no electric current will be present
within a region having uniform and
constant magnetic field.
Reason
Within a region of uniform and constant magnetic field \( \vec{B} \), the path integral of magnetic field \( \oint \vec{B} \cdot \overrightarrow{d l} \) along any closed path is zero. Hence, from Ampere circuital law \( \oint \vec{B} \cdot \overrightarrow{d l}=\mu_{0} I \) (where the
given terms have usual meaning), no
current can be present within a region having a uniform and constant magnetic field
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
\( \boldsymbol{y}=\boldsymbol{x}^{4}, \) is moving with velocity \( \boldsymbol{V}=\boldsymbol{V}_{0} \boldsymbol{i} \)
in a non-uniform magnetic field \( \vec{B}= \)
\( \boldsymbol{B}_{0}\left(1+\left(\frac{\boldsymbol{y}}{\boldsymbol{L}}\right)^{\beta}\right) \hat{\boldsymbol{k}}, \) as shown in figure. If
\( V_{0}, B_{0}, L \) and \( \beta \) are positive constants
and \( \Delta \phi \) is the potential difference
developed between the ends of the wire,
then the correct statement(s) is/are?
This question has multiple correct options
A \( \cdot|\Delta \phi|=\frac{4}{3} B_{0} V_{0} L \) for \( \beta=2 \)
B. \( |\Delta \phi| \) remains same if the parabolic wire is replaced by a straight wire, \( y=x, \) initially, of length \( \sqrt{2} l \)
C \( \cdot|\Delta \phi|=\frac{1}{2} B_{0} V_{0} L \) for \( \beta=0 \)
D. \( |\Delta \phi| \) is proportional to the length of wire projected on y-axis
Subject: Physics
Two particles \( A \) and \( B \) are shot from the same height at \( t=0 \) in opposite
directions with horizontal velocities
\( 3 m / s \) and \( 4 m / s \) respectively. If they are subjected to the same vertical acceleration due to gravity \( (\boldsymbol{g}= \)
\( 9.8 m / s^{2} \) ). the distance between them
when their velocity vectors become mutually perpendicular is:
A . \( 1.059 m \)
в. \( 1.412 m \)
c. \( 2.474 m \)
D. \( 9.8 m \)
Subject: Physics
A machine delivers power to a body which is proportional to velocity of the body. If the body starts with a velocity which is almost negligible, then the distance covered by the body is proportional to:
A \( \cdot \sqrt{v} \)
B. \( 3 \sqrt{\frac{v}{2}} \)
\( \mathbf{c} \cdot v^{5 / 3} \)
\( D \cdot v^{2} \)
Subject: Maths
The value \( \sqrt{2} \int \frac{\sin x d x}{\sin \left(x-\frac{\pi}{4}\right)} \) is
A \( \cdot x-\log \left|\sin \left(x-\frac{\pi}{4}\right)\right|+C \)
B. \( x+\log \left|\sin \left(x-\frac{\pi}{4}\right)\right|+C \)
c. \( x-\log \left|\cos \left(x-\frac{\pi}{4}\right)\right|+C \)
D. \( x+\log \left|\cos \left(x-\frac{\pi}{4}\right)\right|+C \)
Subject: Chemistry
\( s p^{3} d^{2} \) hybridisation is present in:
\( \mathbf{A} \cdot\left[C o F_{6}\right]^{-3} \)
B. \( \left[N i(C o)_{4}\right] \)
C. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{+2} \)
D. All
Subject: Physics
Voltage across each elements of a
series LCR circuit are given by \( V_{L}= \)
\( \mathbf{6 0} \boldsymbol{V}, \boldsymbol{V}_{\boldsymbol{C}}=\mathbf{2 0} \boldsymbol{V}, \boldsymbol{V}_{\boldsymbol{R}}=\mathbf{3 0} \boldsymbol{V} \) Find out
source voltage
A . \( 50 v \)
B. 100v
\( c \cdot 150 v \)
D. 200v
Subject: Maths
The hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) has its
conjugate axis of length 5 and passes
through the point \( (2,1) . \) The length of latus rectum is :
A \( \cdot \frac{5}{4} \sqrt{29} \)
B. \( \frac{5}{8} \sqrt{29} \)
c. \( \sqrt{29} \)
D. \( \frac{\sqrt{29}}{4} \)
Subject: Chemistry
Elements found in native state are
\( \mathbb{P} \)
Chlorides Silicates Carbonates Phosphates Oxides
\( A \cdot P b \) and \( B i \) as they are in \( p \) -block
B. \( \mathrm{Hg} \) and \( 0 \mathrm{s} \) as they are in liquid state
C. \( C \) and \( s i \) as they are non-metals
D. Pt and Au as they are at the bottom of the electrochemical series
Subject: Maths
\( \int \frac{x^{2}-1}{x^{3} \sqrt{2 x^{4}-2 x^{2}+1}} d x \) is equal to
A \( \cdot \frac{\sqrt{2 \mathrm{x}^{4}-2 \mathrm{x}^{2}+1}}{\mathrm{x}^{2}}+\mathrm{c} \)
в. \( \frac{\sqrt{2 \mathrm{x}^{4}-2 \mathrm{x}^{2}+1}}{\mathrm{x}^{3}}+\mathrm{c} \)
c. \( \frac{\sqrt{2 x^{4}-2 x^{2}+1}}{x}+c \)
D. \( \frac{\sqrt{2 \mathrm{x}^{4}-2 \mathrm{x}^{2}+1}}{2 \mathrm{x}^{2}}+\mathrm{c} \)
Subject: Chemistry
The emf of cell
\( \boldsymbol{A} \boldsymbol{g} \mid \boldsymbol{A} \boldsymbol{g} \boldsymbol{I}(\boldsymbol{s})(\mathbf{0 . 0 5 M}) \boldsymbol{K I} \| \mathbf{0 . 0 5 M} \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \)
is \( 0.788 V . \) The solubility product of
\( A g I \) is:
A \( \cdot 1.1 \times 10^{-15} \)
В. \( 1.4 \times 10^{-15} \)
c. \( 1.1 \times 10^{-17} \)
D. none of these
Subject: Chemistry
Select the molecule that has one
pi bond?
This question has multiple correct options
\( \mathbf{A} \cdot C H=C H \)
B. \( C H_{2}=C H-C H O \)
c. \( C H_{3}-C H=C H_{2} \)
D. \( C H_{3}-C H=C H-C O O H \)
Subject: Chemistry
The time taken for an electron to
complete one revolution in Bohr orbit of hydrogen atom is :
A \( \cdot \frac{4 m^{2} \pi r^{2}}{n^{2} h^{2}} \)
в. \( \frac{n^{2} h^{2}}{4 m r^{2}} \)
c. \( \frac{4 \pi^{2} m r^{2}}{n h} \)
D. \( \frac{n h}{4 \pi^{2} m r^{2}} \)
Subject: Physics
The angle turned by a body undergoing circular motion depends on time as
\( \boldsymbol{\theta}=\sqrt{\mathbf{2}} \boldsymbol{\theta}_{0}+\mathbf{3} \boldsymbol{\theta}_{1} \boldsymbol{t}+\boldsymbol{\theta}_{2} \boldsymbol{t}^{2} \) Then the
angular acceleration of the body is
A. \( \sqrt{\theta_{1}} \)
в. \( \sqrt{3} \theta_{2} \)
\( c \cdot 2 \theta_{1} \)
D. \( 2 \theta_{2} \)
Subject: Maths
Let \( P \) be the set of points inside the
square, \( Q \) be the set of points inside the triangle and \( R \) be the set of points
inside the circle. If the triangle and circle intersect each other and are
contained in the square then,
This question has multiple correct options
A. \( P \cap Q \cap R \neq \phi \)
в. \( P \cup Q \cup R=R \)
c. \( P \cup Q \cup R=P \)
D. \( P \cup Q=R \cup P \)
Subject: Chemistry
An unknown composition of a mixture of carbon disulphide and hydrogen sulphide was burnt in sufficient
amount of oxygen. The resulting gases found to exert a pressure of 1.97 atm in a 20 I vessel at 400 K. The gaseous
mixture required 2.8 M iodine solution and \( 250 \mathrm{ml} \) of it was required to reach
the end point, forming \( \boldsymbol{I}^{-} \). Calculate the
mole fraction of \( \boldsymbol{C} \boldsymbol{S}_{2} \) in the original
mixture.
A. 0.2
B. 0.4
c. 0.6
D. 0.8
Subject: Physics
Find equivalent capacitance between
points \( A \) and \( B: \)
Essume each conducting plate is having same dimensions and neglect the thickness of the plate, \( \frac{\varepsilon_{0} A}{d}=7 \mu F \) where A is area of plates
\( \mathbf{A} \cdot 7 \mu F \)
B. \( 11 \mu F \)
\( \mathbf{c} \cdot 12 \mu F \)
D. \( 15 \mu F \)
Subject: Chemistry
Ka for \( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) is \( 1.8 \times 10^{-5} \). Find
out the percentage dissociation of \( 0.2 \mathrm{M} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) in \( \mathbf{0 . 1} \mathbf{M} \boldsymbol{H} \boldsymbol{C l} \) solution.
\( \mathbf{A} \cdot 0.018 \)
B. 0.36
c. 18
D. 36
Subject: Maths
If the equation \( 136\left(x^{2}+y^{2}\right)=(5 x+ \)
\( 3 y+7)^{2} \) represents a conic, then its
length of latus rectum is
A \( \cdot \frac{7}{2 \sqrt{34}} \)
B. \( \frac{7}{\sqrt{34}} \)
c. \( \frac{14}{\sqrt{34}} \)
D. \( \frac{9}{\sqrt{34}} \)
Subject: Physics
A bullet moving with a velocity \( u \) passes through a block at rest and free to move.
The two are of equal mass. After passing through the block, the velocity of the emerging bullet is \( f u \). Its velocity relative to the block is :
A. \( f \)
в. \( (1-f) u \)
c. \( (2 f-1) u \)
D. \( (2-f) u \)
Subject: Physics
A ball is dropped from a height of \( 10 \mathrm{m} \) If the energy of the ball reduces by \( 40 \% \) after striking the ground, how high can
the ball bounce back? \( \left(g=10 m s^{-2}\right) \)
\( A \cdot 6 m \)
B. 10 \( m \)
\( c \cdot 3 m \)
D. 12
Subject: Chemistry
In which of the following option, covalent bond is having maximum \( s \% \) character?
A. \( S-H \) bond in \( H_{2} S \)
B. \( P-H \) bond in \( P H_{3} \)
c. \( N-H \) bond in \( N H_{3} \)
D. All have equal \( s \% \) character
Subject: Physics
An increase in pressure required to decreases the 100 liters volume of a
liquid by \( 0.004 \% \) in container is:
(Bulk modulus of the liquid \( = \)
\( 2100 M P a) \)
A. \( 188 k P a \)
в. \( 8.4 k P a \)
c. \( 18.8 k P a \)
D. \( 84 k P a \)
Subject: Maths
Three cubes each of side \( 5 \mathrm{cm} \) are
joined end to end. Find the surface area of the resulting Cuboid
A \( \cdot 350 \mathrm{cm}^{2} \)
В. \( 300 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 250 \mathrm{cm}^{2} \)
D. \( 200 \mathrm{cm}^{2} \)
Subject: Maths
If \( v \) is the variance and \( \sigma \) is the
standard deviation, then
A \( \cdot v^{2}=\sigma \)
B . \( v^{2}=\sigma^{3} \)
c. \( v^{2}=\frac{1}{\sigma} \)
D. \( v^{2}=\frac{1}{\sigma^{2}} \)
Subject: Physics
A capacitor has a capacitance of \( \boldsymbol{C} \)
when a potential difference of \( V \) is
across it.
The potential difference is increased to \( 2 V, \) what is the new capacitance?
A. \( C \)
B. \( 2 C \)
\( c .3 C \)
D. \( 5 C \)
Subject: Maths
The number of bijection that can be
defined from \( \boldsymbol{A}=\{1,2,8,9\} \) to \( \boldsymbol{B}= \)
\{3,4,5,10\} is
\( \mathbf{A} \cdot 4^{4} \)
B \( \cdot 4^{2} \)
\( c \cdot 24 \)
D. 18
Subject: Physics
Heater of an electric kettle is made of a
wire of length L and diameter d. It takes
4 minutes to raise the temperature of \( 0.5 \mathrm{kg} \) water by \( 40 \mathrm{K} . \) This heater is replaced by a new heater having two wires of the same material, each of
length L and diameter 2d. The way these wires are connected is given in the options. How much time in minutes will it take to raise the temperature of the
same amount of water by \( 40 \mathrm{K} ? \) This question has multiple correct options
A. 4 if wires are in parallel
B. 2 if wires are in series
c. 1 if wires are in series
D. 0.5 if wires are in parallel
Subject: Chemistry
The addition of 0.643 g of a compound to \( 50 \mathrm{mL} \) of benzene (density \( 0.879 g m L^{-1} \) ) lowers the freezing point
from 5.51 to \( 5.03^{\circ} \mathrm{C} . \) If \( K_{f} \) for benzene is
\( \mathbf{5 . 1 2} \boldsymbol{K} / \boldsymbol{m}, \) calculate the molecular
weight of the compound.
Subject: Physics
A stone fails from a balloon that is
descending at a uniform rate of
\( 12 m s^{-1} . \) The displacement of the stone from the point of release after 10 sec is :
A. \( 490 \mathrm{m} \)
B. 610 \( m \)
\( c .510 \mathrm{m} \)
D. 725 \( m \)
Subject: Physics
Three weight \( W, 2 W \) and \( 3 W, \) are connected to identical springs suspended from rigid horizontal rod. The assembly of the rod and the weights fall freely. The positions of the weights from the rod are such that
A. \( 3 W \) will be farthest
B. \( W \) will be farthest
c. all will be at the same distance
D. \( 2 W \) will be farthest
Subject: Maths
Using the definition, show that the
function.
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x} \sin (1 / \boldsymbol{x}) \) if \( \boldsymbol{x} \neq \mathbf{0}, \boldsymbol{0} \) if \( \boldsymbol{x}=\mathbf{0} \)
is continuous at the point \( \boldsymbol{x}=\mathbf{0} \)
Subject: Chemistry
Given the limiting molar conductivity
as:
\( A_{m}^{\infty}(H C l)=126.4 \Omega^{-1} c m^{2} m o l^{-1} \)
\( A_{m}^{\infty}(N a C l)=425.9 \Omega^{-1} c m^{2} m o l^{-1} \)
\( A_{m}^{\infty}\left(C H_{3} C O O N a\right)= \)
\( 91 \Omega^{-1} c m^{2} m o l^{-1} \)
The molar conductivity at infinite
dilution of acetic acid
\( \left(i n \Omega^{-1} c m^{2} m o l^{-1}\right) \) will be:
\( \mathbf{A} \cdot 481.5 \)
B. 390.5
\( \mathbf{c} \cdot 299.5 \)
D . 516.9
Subject: Physics
A block of mass \( 2 k g \) slides down the
face of a smooth \( 45^{\circ} \) wedge of mass
\( 9 k g \) as shown in the figure. The wedge
is placed on a frictionless horizontal
surface. Determine the acceleration of
the wedge.
\( A \cdot 2 m / s^{2} \)
B. \( \frac{11}{\sqrt{2}} \mathrm{m} / \mathrm{s}^{2} \)
\( \mathrm{c} \cdot 1 \mathrm{m} / \mathrm{s}^{2} \)
D. None of these
Subject: Chemistry
Which the following represents
saponification reaction?
\( \mathbf{A} \cdot C H_{3} C O O N a+N a O H \stackrel{C a O}{\longrightarrow} C H_{4}+N a_{2} C O_{3} \)
B \( \cdot C H_{3} C O O H+C_{2} H_{5}-O H \stackrel{H_{2} S O_{4}}{\longrightarrow} C H_{3} C O O C_{2} H_{5}+ \)
\( H_{2} O \)
c. \( 2 C H_{3} C O O H+2 N a \rightarrow 2 C H_{3} C O O N a+H_{2} \)
D. \( C H_{3} C O O C_{2} H_{5}+N a O H \rightarrow C H_{3} C O O N a+C_{2} H_{5} O H \)
Subject: Chemistry
Assertion
2,2-Dimethylbutane does not have any
tertiary carbon atom.
Reason Tertiary carbon atom is attached to
three carbon atoms.
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
When \( M n O_{2} \) is fused with \( K O H, \) a
coloured compound is formed. The product and its colour is:
A \( \cdot K_{2} M n O_{4}, \) green
B. \( K M n O_{4} \), purple
c. \( M n_{2} O_{3} \), brown
D. \( M n_{3} O_{4} \), black
Subject: Chemistry
topp \( E \)
Q туре your question
\( C u(s) \)
\( \boldsymbol{E}_{\text {cll }}^{o}=\mathbf{1 . 1 0} \boldsymbol{V} \)
\( \boldsymbol{X}-\boldsymbol{a} \boldsymbol{x} \boldsymbol{i} \boldsymbol{s}: \log _{10} \frac{\left[\boldsymbol{Z} \boldsymbol{n}^{2+}\right]}{\left[\boldsymbol{C u}^{2+}\right]}, \quad Y- \) axis \( : \boldsymbol{E}_{c e l l} \)
\( A \)
B.
\( c \)
\( D \)
Subject: Physics
The radio nuclide \( ^{11} \boldsymbol{C} \) decays according
to
\( _{6}^{11} C \rightarrow_{5}^{11} B+e^{+}+\nu: T_{1 / 2}= \)
20.3 min
The maximum energy of the emitted positron is \( 0.960 \mathrm{MeV} \)
Given the mass values:
\( \boldsymbol{m}\left(_{6}^{11} \boldsymbol{C}\right)=\mathbf{1 1 . 0 1 1 4 3 4} \boldsymbol{u} \) and
\( \boldsymbol{m}\left(_{6}^{11} \boldsymbol{B}\right)=\mathbf{1 1 . 0 0 9 3 0 5} \boldsymbol{u} \)
Calculate \( Q \) and compare it with the
maximum energy of the positron emitted.
Subject: Chemistry
How many \( \boldsymbol{O}_{2} \) molecules are present in
\( 2.0 \mathrm{L} \) of oxygen gas at \( 27^{\circ} \mathrm{C} \)
temperature and 3.0 atm pressure?
A \( \cdot 1.0 \times 10^{23} \)
В. \( 1.5 \times 10^{23} \)
c. \( 1.5 \times 10^{24} \)
D. \( 2.5 \times 10^{24} \)
Subject: Physics
Two bullets \( P \) and \( Q \), masses 10 and 20
g, are moving in the same direction towards a target with velocities of 20
and \( 10 \mathrm{m} / \mathrm{s} \) respectively. Which one of the bullets will pierce a greater distance through the target?
\( A \cdot P \)
B.
c. Both will cover the same distance
D. Nothing can be decided
Subject: Maths
General solution of \( \sin ^{3} x+\cos ^{3} x+ \)
\( \frac{3}{2} \sin 2 x=1 \)
A. \( x=n \pi \) when \( n \) is even integer
B. \( x=2 n \pi \) when \( n \) is odd integer
C \( \cdot x=n \pi+\frac{\pi}{2} \) when \( n \) is odd integer
D・ \( x=n \pi-\frac{\pi}{2} \)
Subject: Maths
A natural number \( x \) is chosen at
random from the first 120 natural
numbers and it is observed to
be divisible by 8 , then the probability that it is not divisible by 6 is
\( A \cdot \frac{1}{3} \)
B.
\( c \cdot \frac{3}{4} \)
D. \( \frac{2}{3} \)
Subject: Physics
top
Q Type your question
Ball \( X \) has an initial velocity of
\( 3.0 m s^{-1} \) in a direction along line \( A B \)
Ball \( Y \) has a mass of \( 2.5 k g \) and an
initial velocity of \( 9.6 m s^{-1} \) in a
direction at an angle of \( 60^{\circ} \) to line \( A B \)
The two balls collide at point \( B \). The
balls stick together and then trave along the horizontal surface in a
direction at right-angles to the line \( \boldsymbol{A B} \) as shown in Fig.

Determine the difference between the
initial kinetic energy of ball \( X \) and the initial kinetic energy of ball \( Y \). difference in kinetic energy \( = \)
\( \boldsymbol{J} \)
Subject: Physics
A Toy cart attached to the end of an
unstretched string of length a, when received moves on a smooth horizontal
table in a circle of radius 2 s with a time
period T. Now the toy cart is speeded up until it moves in a circle of radius 3 a
with a period 'T'. If Hook's law holds then (Assume no friction)
A \( \cdot T^{\prime}=\sqrt{\frac{3}{2}} \pi \)
B \cdot \( T^{\prime}=\left(\frac{\sqrt{3}}{2}\right) T \)
\( \mathbf{c} \cdot \mathbf{T}^{\prime}=\left(\frac{3}{2}\right) \mathbf{T} \)
D. \( T^{\prime}=T \)
Subject: Physics
A cube at temperature \( 0^{\circ} C \) is
compressed equally from all sides by an
external pressure \( P . \) By what amount should its temperature be raised to bring it back to the size it had before
the external pressure was applied. The bulk modulus of the material of the
cube is \( B \) and the coefficient of linear
expansion is \( \alpha \)
\( \mathbf{A} \cdot P / B a \)
в. \( P / 3 B \alpha \)
c. \( 3 \pi \alpha / B \)
D. \( 3 B / P \)
Subject: Physics
A particle starts travelling on a circle with constant tangential acceleration. The angle between velocity vector and acceleration vector, at the moment
when particle complete half the circular track, is:
\( \mathbf{A} \cdot \tan ^{-1}(2 \pi) \)
B. \( \tan ^{-1}(\pi) \)
\( \mathbf{c} \cdot \tan ^{-1}(3 \pi) \)
D. \( \tan ^{-1}(2) \)
Subject: Maths
\( \int_{\pi / 6}^{\pi / 4} \frac{d x}{\sin 2 x} \) is equal to
A \( \cdot \frac{1}{2} \log (-1) \)
B \( \cdot \log (-1) \)
\( \mathbf{c} \cdot \log 3 \)
D \( \cdot \frac{1}{2} \log \sqrt{3} \)
Subject: Maths
Find he point of intersection of \( \mathrm{AB} \) and CD, where
\( \boldsymbol{A}(\boldsymbol{6},-\boldsymbol{7}, \boldsymbol{0}), \boldsymbol{B}(\boldsymbol{1 6},-\boldsymbol{1 9},-\boldsymbol{4}), \boldsymbol{C}(\boldsymbol{0}, \boldsymbol{3},-\boldsymbol{6}) \)
Subject: Physics
If the electric flux entering and leaving
an enclosed surface respectively are \( \phi_{1} \)
and \( \phi_{2}, \) the electric charge inside the surface will be :
A \( \cdot \frac{\phi_{2}-\phi_{1}}{\varepsilon_{0}} \)
в. \( \frac{\phi_{2}+\phi_{1}}{\varepsilon_{0}} \)
c. \( \frac{\phi_{1}-\phi_{2}}{\varepsilon_{0}} \)
D. \( \varepsilon_{0}\left(\phi_{2}-\phi_{1}\right) \)
Subject: Chemistry
The molar solubility of \( \mathrm{PbCl}_{2} \) in \( 0.20 \mathrm{M} \)
\( \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} \) solution is:
\( \left(\boldsymbol{K}_{\boldsymbol{s} p} \text { for } \boldsymbol{P b C l}_{2}=\mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{5}}\right) \)
A . \( 1.7 \times 10^{-4} M \)
В. \( 9.2 \times 10^{-3} M \)
c. \( 1.7 \times 10^{-5} M \)
D. \( 4.6 \times 10^{-3} M \)
E . \( 8.5 \times 10^{-5} M \)