AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
toppr
Q Type your question
the blood with
iodine using the reaction
\( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{I}_{3}^{-}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{I} \boldsymbol{C} \boldsymbol{N}(\boldsymbol{a} \boldsymbol{q})+ \)
\( \mathbf{2} \boldsymbol{I}-(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \)
A diluted blood sample of volume 15.00
mL was titrated to the endpoint with
\( 5.21 \mathrm{mL} \) of a \( I_{3}^{-} \) solution. The molar
concentration of the \( I_{3}^{-} \) solution was
determined by titrating it against arsenic(III)oxide, \( A s_{4} O_{6}, \) which in solution forms arsenous acid,
\( \mathrm{H}_{3} \mathrm{As} \mathrm{O}_{3} \) via the following equation:
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})+\boldsymbol{A} \boldsymbol{s}_{4} \boldsymbol{O}_{6}(\boldsymbol{s}) \rightarrow \boldsymbol{4} \boldsymbol{H} \boldsymbol{3} \boldsymbol{A} \boldsymbol{s} \boldsymbol{O}_{3}(\boldsymbol{a} \boldsymbol{q}) \)
A volume of \( 10.42 \mathrm{mL} \) of the triiodide
I3 \( ^{-} \) ) solution was needed to reach the
endpoint on a 0.122 g sample of \( \$ \$ A s 406 \) in the reaction
\( \boldsymbol{H}_{3} \boldsymbol{A} \boldsymbol{s} \boldsymbol{O}_{3}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{I}_{3}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightarrow \)
\( \boldsymbol{H}_{3} \boldsymbol{A} \boldsymbol{s} \boldsymbol{O}_{4}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{3} \boldsymbol{I}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \)
What is the molar concentration of HCN
in the blood sample?
A. \( 0.04 \mathrm{M} \)
\( B \)
\( c \)
D. 0.36 M
Subject: Physics
A block of mass \( 15 k g \) is placed on a long trolley. The coefficient of friction between the block and trolley is 0.18 The trolley accelerates from rest with
\( 0.5 m / s^{2} \) for 20 sec, then what is the friction force?
A . \( 3.5 N \)
в. \( 133.3 N \)
\( c .7 .5 N \)
D. None of these
Subject: Physics
Assertion
When diamagnetic material is placed in a non-uniform magnetic field, it tends to move from stronger to the weaker part of the magnetic field.
Reason
Diamagnetic materials posses string magnetism.
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
A box has four dice in it. Three of them
are fair dice but the fourth one has the
number five on all of its faces. A die is
chosen at random from the box and is
rolled three times and shows up the
face five on all the three occasions. The
chance that the die chosen was a rigged
die, is
\( \mathbf{A} \cdot \frac{216}{217} \)
В. \( \frac{215}{219} \)
C. \( \frac{216}{219} \)
D. none
Subject: Physics
A thick metallic cubical container of inner dimensions \( 1 \mathrm{m} 1 \mathrm{m} \) 1m and outer
dimensions \( 1.2 \mathrm{m} 1.2 \mathrm{m} 1.2 \mathrm{m} \) at \( 27^{0} \mathrm{C} \) is
used to store gas of volume \( 1 m^{3} \). The linear thermal expansion coefficient of the metal is positive. If the container is
heated upto \( 100^{0} C \), then volume of gas
it can contain at \( 100^{0} C \) is :
A. more than \( 1 m^{3} \)
B. less than1 \( m^{3} \)
c. same a \( 1 m^{3} \)
D. zero
Subject: Physics
The reaction \( _{1}^{2} \boldsymbol{H}+_{1}^{2} \boldsymbol{H} \rightarrow_{2}^{3} \boldsymbol{H} \boldsymbol{e}+_{0}^{1} \boldsymbol{n} \)
is called
A. Fusion
B. Fission
c. Endothermic reaction
D. Spontaneous reaction
Subject: Maths
The two adjacent sides of a
parallelogram are \( 25 \mathrm{cm} \) and \( 40 \mathrm{cm} \) respectively. The altitude drawn on the Ionger side is \( 18 \mathrm{cm}, \) then the area of the parallelogram is
A \( \cdot 450 \mathrm{cm}^{2} \)
B \( .720 \mathrm{cm}^{2} \)
\( c \cdot 500 \mathrm{cm}^{2} \)
D. none of these
Subject: Physics
One calorie is defined as the heat
required to raise the temperature of
1 gm of water by \( 1^{\circ} \mathrm{C} \) in a certain pressure. The pressure is
A. \( 76 m m \) of \( H g \)
в. \( 760 \mathrm{cm} \) of \( \mathrm{Hg} \)
c. \( 760 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. \( 7.6 \mathrm{m} \) of \( \mathrm{Hg} \)
Subject: Maths
Find the mean
\( \begin{array}{llllll}x: & 10 & 30 & 50 & 70 & 89 \\ f: & 7 & 8 & 10 & 15 & 10\end{array} \)
\( \mathbf{A} \cdot 55 \)
B. 65
\( \mathbf{c} \cdot 45 \)
D. 95
Subject: Chemistry
\( \left[\boldsymbol{N} \boldsymbol{H}\left(\boldsymbol{C H}_{2}\right)_{6} \boldsymbol{N H C O}\left(\boldsymbol{C H}_{2}\right)_{4} \boldsymbol{C O}\right]_{n} \)
\( \mathbf{a} \)
A. copolymer
B. addition polymer
c. thermosetting polymer
D. homopolymer
Subject: Maths
The domain of the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( \frac{1}{\sqrt{1-e^{\frac{1}{x}-1}}} \) is
B \( \cdot(-\infty, \infty) \)
C . \( (-\infty, 0] \cup[1, \infty) \)
D. none of these
Subject: Physics
The primary winding of a transformer
has 500 turns whereas its secondary has 5000 turns. The primary is connected to an ac supply of \( 20 \vee, 50 \mathrm{Hz} \) What will be the output of the secondary?
A \( .200 \vee, 50 \) Н \( z \)
в. \( 100 \vee, 50 \) Н \( z \)
c. \( 200 \vee, 500 \) Н \( z \)
D. 250 V, 50 нz
Subject: Chemistry
Two elements \( P(\text { at.wt. } 39) \) and \( Q \) (at.wt
80) contain 20 and 45 neutrons
respectively in their nucleus:
What type of bonds are \( \boldsymbol{P}-\boldsymbol{Q} \) and \( \boldsymbol{Q}- \)
\( Q ? \)
A. \( P-Q \) bond is Covalent and \( Q-Q \) bond is covalent.
B. \( P-Q \) bond is ionic and \( Q-Q \) bond is covalent
c. \( P-Q \) bond is Covalent and \( Q-Q \) bond is metallic.
D. \( P-Q \) bond is ionic and \( Q-Q \) bond does not form.
Subject: Physics
If two electric charges \( q \) and \( -2 q \) are
placed at distance \( 6 a \) apart, then locus
of point in the plane of charges, where electric potential is zero is: (Take
charge \( q \) at origin and \( -2 q \) lies on positive \( x \) -axis
A. \( x^{2}+y^{2}+4 a x-6 a^{2}=0 \)
B . \( x^{2}+y^{2}+4 a x-12 a^{2}=0 \)
c. \( x^{2}+y^{2}+2 a x-12 a^{2}=0 \)
D. \( x^{2}+y^{2}-4 a x+12 a^{2}=0 \)
Subject: Chemistry
Which of the following match are incorrect?
(a) Goldschmidt aluminothermite
process \( -C r_{2} O_{3} \)
(b) Mac Arther cyanide process - \( \boldsymbol{F e} \)
(c) Mond process - Ni
(d) Van Arkel process - \( A u \)
A \( \cdot \) a,
B. c, d
\( c \cdot b, d \)
D. a,
Subject: Chemistry
\( 0.2 g \) of an organic compound on Kjeldahls analysis gives enough ammonia to neutralize \( 20 \mathrm{cm}^{3} \) of \( 0.1 \mathrm{N} \)
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} . \) The percentage of nitrogen in
the compound is:
A \( \cdot 14 \)
B. 20
c. 70
D. 24
Subject: Physics
A glass full of hot milk is poured on the table . It begins to cool gradually. Which of the following is incorrect?
A. The rate of cooling is constant till milk attains the temperature of the surrounding
B. The temperature of milk falls of exponentially
c. While cooling there is a flow of heat from milk to the surrounding as well as from surrounding to the milk but the net flow of heat is from milk to the surrounding and that is why it cools.
D. All three phenomenon,conduction,convection and radiation are responsible for the loss of heat from milk to the surroundings
Subject: Physics
A \( 120 \mathrm{V}, 60 \mathrm{W} \) lamp is to be operated on 220 \( \mathrm{V}, 50 \mathrm{Hz} \) supply mains Calculate what value of pure inductance which
would be required so that the lamp runs on correct value of power
A \( \cdot 1.174 \)
B. 2.348
c. 3.522
D. 4.696
Subject: Chemistry
Aqueous solution of nickel sulphate on treating with pyridine and then adding a solution of sodium nitrate gives dark
blue crystals of:
\( \mathbf{A} \cdot\left[N i(p y)_{4}\right] S O_{4} \)
B \( \cdot\left[N i(p y)_{2}\left(N O_{2}\right)_{2}\right. \)
c. \( \left[N i(p y)_{4}\left(N O_{2}\right)_{2}\right. \)
D. \( \left[N i(p y)_{3}\left(N O_{2}\right)\right]_{2} S O_{4} \)
Subject: Maths
Check whether the following pair of statements is negation of each other. Give reasons for the answer
(i) \( x+y=y+x \) is true for every real
numbers \( \boldsymbol{x} \) and \( \boldsymbol{y} \)
(ii) There exists real number \( x \) and \( y \) for
which \( \boldsymbol{x}+\boldsymbol{y}=\boldsymbol{y}+\boldsymbol{x} \)
Subject: Chemistry
Boric acid \( \left(\boldsymbol{H}_{3} \boldsymbol{B} \boldsymbol{O}_{3}\right) \) has:
A. trigonal structure
B. tetrhedral structure
C. layer structure, in which \( B O_{3} \) units are linked by oxygen
D. layer structure, in which planar \( B O_{3} \) units are linked by hydrogen bondining
Subject: Physics
A solid sphere is rolling down an
inclined plane without slipping. If the inclined plane has inclination \( \theta \) with the
horizontal, then the coefficient of
friction \( \mu \) between the sphere and the
inclined plane should be
A \( \cdot \mu \geq 2 / 7 \cot \theta \)
B. \( \mu \geq 2 / 7 \tan \theta \)
c. \( \mu \geq 2 / 7 \cos \theta \)
D. \( \mu \geq 4 / 7 \sin \theta \)
Subject: Chemistry
When \( S O_{2} \) gas is passed into aqueous
\( N a_{2} C O_{3} \) the product(s) formed is (are):
A \( . \) NaHSO \( _{4} \)
B. \( N a_{2} S O_{4} \)
\( \mathbf{c} \cdot \operatorname{NaH} S O_{3} \)
D. \( N a_{2} S O_{3} \) and \( N a H S O_{3} \)
E. \( N a H S O_{4} \) and \( N a_{2} S O_{4} \)
Subject: Maths
If \( \operatorname{Tr}(\mathbf{A})=\mathbf{2}+\mathbf{i}, \) Then \( \operatorname{Tr}[(\mathbf{2}-\mathbf{i}) \mathbf{A}]= \)
A \( .2+i \)
в. \( 2-i \)
\( c .3 \)
D. 5
Subject: Physics
The light enters our eye through the transparent through the and is focused
on the The is
sensitive to light and sends images to our brain through
A. cornea, lens, retina, retina, optic nerve
B. retina,cornea, lens, retina, optic nerve
c. retina, cornea, lens, optic nerve , retina
D. cornea,retina, lens, retina, optic nerve
Subject: Maths
Let \( A(\vec{a}), B(\vec{b}), C(\vec{c}) \) be the vertices of the triangle \( A B C \) and let \( D E F \) be the
mid points of the sides \( B C, C A, A B \)
respectively. If \( \boldsymbol{P} \) divides the median
\( A D \) in the ratio 2: 1 then the position
vector of \( \boldsymbol{P} \) is
A . 0
B \( \cdot \vec{a}+\vec{b}+\vec{c} \)
\( \overbrace{3}^{\text {c. }} \frac{\vec{a}+\vec{b}+\vec{c}}{3} \)
\( \frac{2 \vec{a}+\vec{b}+\vec{c}}{3} \)
Subject: Maths
In a class, the number of girls is \( 20 \% \)
more than that of boys. The strength of the class is \( 66 . \) If 4 more girls are
admitted to the class, what will be the
ratio of the number of boys to that of the girls?
A .3: 4
B. 5: 2
c. 1: 3
D. 2: 7
Subject: Chemistry
Assertion: Hydrogen is a diatomic
molecule

Reason: Protium atom contains one
electron, one proton and one neutron
A. Both Assertion and Reson are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not correct explanation of Assertion
c. The Assertion is true but Reason is false
D. The Assertion is false but Reason is true
Subject: Physics
\( \ln H \) -atm spectrum \( V \) is the wave
number
\( \boldsymbol{V}_{1}=\boldsymbol{V}_{\min }+\boldsymbol{V}_{\max } \) for Lyman series
\( \boldsymbol{V}_{1}=\boldsymbol{V}_{\min }+\boldsymbol{V}_{\max } \) for Balmer series
then \( V_{1}: V_{2} \)
A . 9: 2
B. 3: 2
\( c .5: 2 \)
D. 7: 2
Subject: Physics
A particle \( A \) moves along a circle of
radius \( R=50 \mathrm{cm} \) so that its radius
vector \( r \) relative to the point \( O \) (figure)
rotates with the constant angular
velocity \( \omega=0.40 \) rad \( / \) s. Then
magnitude of the velocity of the
particle, and the magnitude of its total acceleration will be
A \( \cdot v=0.4 \mathrm{m} / \mathrm{s}, a=0.4 \mathrm{m} / \mathrm{s}^{2} \)
B . \( v=0.32 \mathrm{m} / \mathrm{s}, a=0.32 \mathrm{m} / \mathrm{s}^{2} \)
C \( \cdot v=0.32 \mathrm{m} / \mathrm{s}, a=0.4 \mathrm{m} / \mathrm{s}^{2} \)
D. \( v=0.4 \mathrm{m} / \mathrm{s}, a=0.32 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
Assertion
Mass is a measure of inertia of the
body.
Reason
Greater the mass, greater is the force
required to change its state of rest or of
uniform motion.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
The radii of two of the first four Bohr
orbits of the hydrogen atom are in the
ratio \( 1: 4 . \) The energy difference
between them may be
A. either \( 12.09 e V \) or \( 3.4 e V \)
B. either \( 2.55 e V \) or \( 10.2 e V \)
c. either \( 13.6 e V \) or \( 3.4 e V \)
D. either \( 3.4 e V \) or \( 0.85 e V \)
Subject: Physics
A point object is placed at a distance of
\( 12 c m \) on the principal axis of a convex lens of focal length \( 10 \mathrm{cm} \). A convex mirror is placed coaxially on the other side of the lens at a distance of \( 10 \mathrm{cm} \). If
the final image coincides with the object, sketch the ray diagram and find the focal length of the convex mirror.
Subject: Maths
The variance and \( S D \) of the following is
\( \begin{array}{cccccc}\boldsymbol{x} & \mathbf{4 . 5} & \mathbf{1 4 . 5} & \mathbf{2 4 . 5} & \mathbf{3 4 . 5} & \mathbf{4 4 . 5} \\ f & 1 & 5 & 12 & 22 & 17\end{array} \)
\( \mathbf{A} \cdot 176,13 \)
B. 175.9,13.26
\( \mathbf{c} .8 .56,13 \)
D. 4.1,12.13
Subject: Chemistry
Write down the chemical equations for
metallurgical process to represent Roasting of galena (PbS)
Chemical equation:
\( 2 P b S+3 O_{2} \rightarrow 2 P b O+2 S O_{2} \)
\( \boldsymbol{P b S}+\mathbf{2 O}_{2} \rightarrow \boldsymbol{P b S O}_{4} \)
If true enter 1 else 0
\( A \)
Subject: Physics
In the double slit experiment, the
distance between two slits is \( 0.6 m m \)
and these are illuminated with light of
wavelength \( 4800 A^{\circ} . \) The angular width of dark fringes on the screen distant
\( 120 c m \) from slits will be
A . \( 8 \times 10^{-4} \) Radian
B. \( 6 \times 10^{-4} \) Radian
c. \( 4 \times 10^{-4} \) Radian
D. \( 16 \times 10^{-4} \) Radian
Subject: Maths
A disc, sliding on an inclined plane, is found to have its position (measured from the top of the plane) at any instant
given by \( \boldsymbol{x}=\mathbf{3} \boldsymbol{t}^{2}+\mathbf{1} \) where \( \boldsymbol{x} \) is in meter
and \( t \) in second. Its average velocity in
the time interval between 2 s to 2 is
\( \mathbf{A} \cdot 10.2 \mathrm{ms}^{-1} \)
B . \( 15.5 \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 12.3 \mathrm{ms}^{-1} \)
D. \( 9.7 m s^{-1} \)
Subject: Physics
A radio can tune over the frequency range of a portion of MW broadcast
band: \( (800 \mathrm{kHz} \text { to } 1200 \mathrm{kHz} \) ). If its LC
circuit has an effective inductance of
\( 200 \mu \mathrm{H}, \) what must be the range of its variable capacitor? [Hint: For tuning, the natural frequency
i.e., the frequency of free oscillations of
the LC circuit should be equal to the frequency of the radiowave.]
Subject: Maths
\( \int \frac{\sec ^{2} x}{\sqrt{\operatorname{asec}^{2} x-\operatorname{btan}^{2} x}} d x \) is (where \( c \)
is integration constant
This question has multiple correct options
A \( \cdot \frac{1}{\sqrt{b-a}} \sin ^{-1}(\tan x \sqrt{\frac{b-a}{a}})+c \) if \( b>a>0 \)
B. \( \frac{1}{\sqrt{b-a}} \log _{2}(\tan x \sqrt{b-a}+\sqrt{\operatorname{asec}^{2} x-b \tan ^{2} x})+c \) if
\( b>a>0 \)
c. \( \frac{1}{\sqrt{a-b}} \sin ^{-1}(\tan x \sqrt{\frac{a-b}{a}})+c \) if \( a>b>0 \)
D. \( \frac{1}{\sqrt{a-b}} \log _{e}(\tan x \sqrt{a-b}+\sqrt{\operatorname{asec}^{2} x-b \tan ^{2} x})+c \) if
\( a>b>0 \)
Subject: Chemistry
Calculate \( \Delta G^{o} \) for the following
reaction:
\( \boldsymbol{C O}(\boldsymbol{g})+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( -282.84 k J \)
Given, \( S_{C O_{2}}^{o}= \)
\( 213.8 J K^{-1} m o l^{-1}, S_{C O(g)}^{o}= \)
\( \mathbf{1 9 7 . 9 J K}^{-1} \mathbf{m o l}^{-\mathbf{1}}, \boldsymbol{S}_{\boldsymbol{O}_{2}}^{\boldsymbol{o}}= \)
\( \mathbf{2 0 5 . 0} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-\mathbf{1}} \)
Subject: Chemistry
Which is the correct method of
synthesising acetamide from acetone?
A \( \cdot C H_{3} C O C H_{3} \stackrel{P d / B a S O_{4}}{\longrightarrow} C H_{3} C H O \stackrel{N H_{3}}{\longrightarrow} \)
\( C H_{3} C H_{2} N H_{2} \stackrel{H_{2} O}{\longrightarrow} C H_{3} C O N H_{2} \)
в. \( C H_{3} C O C H_{3} \frac{I_{2}}{N a O H} C H_{3} C O O N a \frac{H^{+}}{N H_{3}} \)
\( C H_{3} C O O N H_{4} \stackrel{\Delta}{\longrightarrow} C H_{3} C O N H_{2} \)
c. \( C H_{3} C O C H_{3} \stackrel{C r O_{3}}{\longrightarrow} C H_{3} C O O H \stackrel{N H_{3}}{\longrightarrow} C H_{3} C O N H_{2} \)
D. \( C H_{3} C O C H_{3} \frac{I_{2}}{_{N a O H}} C H_{3} C O O H \stackrel{H C l}{\longrightarrow} \)
\( C H_{3} C O C l \stackrel{N H_{3}^{3}}{\longrightarrow} C H_{3} C O N H_{2} \)
Subject: Physics
Two long straight wires, each carrying an electric current of 5 A, are kept
parallel to each other at a separation of \( 2.5 \mathrm{cm} . \) Find the magnitude of the magnetic force experienced by \( 10 \mathrm{cm} \) of
a wire.
A \( .4 .0 \times 10^{-4} N \)
В. \( 3.5 \times 10^{-6} N \)
c. \( 2.0 \times 10^{-5} N \)
D. \( 2.0 \times 10^{-9} N \)
Subject: Chemistry
Calculate the weight of \( \left(N H_{4}\right)_{2} S O_{4} \) which must be added to \( 500 \mathrm{mL} \) of \( 0.2 \mathrm{M} \)
\( N H_{3} \) to yield a solution of \( \mathrm{pH}=9.35, K_{b} \) for \( \boldsymbol{N} \boldsymbol{H}_{3}=\mathbf{1 . 7 8} \times \mathbf{1 0}^{-\mathbf{5}}(\text { in } \boldsymbol{g} \mathbf{m}) \)
A. 0.4
B. 2
c. 3.52
D. 5.25
Subject: Maths
If \( P \) is a two-rowed matrix satisfying
\( P^{T}=P^{-1}, \) then \( P \) can be
\( \mathbf{A} \cdot\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \)
B. \( \left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}-\cos \theta & \sin \theta \\ \sin \theta & -\cos \theta\end{array}\right] \)
D. none of these
Subject: Chemistry
If \( N_{2} \) gas is bubbled through water at
\( 293 K \), Calculate solubility of \( N_{2} \) gas?
Assume that \( N_{2} \) exerts a partial pressure of 0.987 bar. Given that
Henry's law constant for \( N_{2} \) at \( 293 K \) is \( \mathbf{7 6 . 4 8} \frac{\boldsymbol{k} \text { bar }}{\text { mole } / \text { litre }} \)
A \( \cdot 1.29 \times 10^{-5} \) litree
В. \( _{1.29} \times 10^{-4} \frac{\text { тоде }}{\text { litre }} \)
с. \( _{2.9} \times 10^{-3} \) mole
D. \( 2.9 \times 10^{-5} \) mole
Subject: Maths
\( \Delta A B C \) is not right-angled and is inscribed in a fixed circle. If \( a, A, b, B \) be slightly varied keeping \( c, C \) fixed, then \( \frac{d a}{\cos A}+\frac{d b}{\cos B}=? \)
A \( .2 R \)
в. \( \pi \)
\( c \cdot 0 \)
D. none of these
Subject: Biology
Consider the following statements.
(a) Sudden action in response to something in the environment is called
reflex action.
(b) Sensory neurons carry signals from spinal cord to muscles.
(c) Motor neurons carry signals from receptors to spinal cord.
(d) The path through which signals are transmitted from a receptor to a muscle or a gland is called reflex arc. Which of the above statements are
correct?
\( A \cdot(a) \) and \( (b) \)
B. (a) and (c)
c. (a) and (d)
D. \( (a),(b) \) and \( (c) \)
Subject: Chemistry
The rate of disappearance of \( A \) at two temperatures is given by \( \boldsymbol{A} \rightleftharpoons \boldsymbol{B} \)
i. \( \frac{-d[A]}{d t}=2 \times 10^{-2}[A]-4 \times 10^{-3}[B] \) at
\( 300 \mathrm{K} \)
ii. \( \frac{-d[A]}{d t}=4 \times 10^{-2}[A]-16 \times 10^{-4}[B] \)
at \( 300 \mathrm{K} \)
From the given values of heat of reaction which are incorrect
This question has multiple correct options
A. \( 3.86 k c a l \)
B. 6.93 kcal
c. \( 1.68 k c a l \)
D. \( 1.68 \times 10^{-2} k c a l \)
Subject: Physics
A ball is dropped from a height \( 100 m \) on the ground. If the coefficient
of restitution is \( 0.2, \) the height to which the ball will go up after it rebounds for the IInd time
A . \( 15 m \)
B. \( 1.6 \mathrm{cm} \)
\( c .1 .6 m \)
D. \( 40 \mathrm{cm} \)
Subject: Maths
If \( A=\left|\begin{array}{cc}2 & -3 \\ 3 & 2\end{array}\right| \) and \( B=\left|\begin{array}{cc}3 & -2 \\ 2 & 3\end{array}\right| \) then \( 2 A-B= \)
A. 11
\( \begin{array}{ll}1 & 4 \\ 4 & 1\end{array} \)
в. \( \mid \begin{array}{ll}1 & 4 \\ 1 & 4\end{array} \)
c. \( \left|\begin{array}{cc}1 & -4 \\ 4 & 1\end{array}\right| \)
D. \( \mid \begin{array}{ll}4 & 1 \\ 1 & 4\end{array} \)
Subject: Maths
Given \( \boldsymbol{A}=\mathbf{2}, \mathbf{3}, \boldsymbol{B}=\mathbf{4}, \mathbf{5}, \boldsymbol{C}=\mathbf{5}, \mathbf{6}, \) find
(i) \( \boldsymbol{A} \times(\boldsymbol{B} \cap \boldsymbol{C})=\ldots \ldots \)
(ii) \( (\boldsymbol{A} \times \boldsymbol{B}) \cup(\boldsymbol{B} \times \boldsymbol{C})=\ldots \ldots \)
Subject: Physics
A filled shopping cart \( (30.0 k g) \) is being pushed rapidly toward the back of a store so that its velocity is \( -2.0 m / s \) What is the momentum of the cart, and
what is the kinetic energy of the cart??
A. Momentum \( 60.0(k g)(m) / s \), Kinetic energy \( 60.0 J \)
B. Momentum \( -60.0(k g)(m) / s \), Kinetic energy 60.05
c. Momentum \( 60.0(k g)(m) / s \), Kinetic energy -60.0 .
D. Momentum \( -60.0(k g)(m) / s \), Kinetic energy \( -60.0 J \)
E. Momentum \( 60.0(k g)(m) / s, \) Kinetic energy \( 120.0 J \)
Subject: Physics
For a P-Njunction diode.
A. Forward current in \( \mathrm{mA} \) and reverse current is in \( \mu A \)
B. Forward current is in \( \mu A \) are reverse current is in \( \mathrm{mA} \)
C. Both forward and reverse currents are in \( \mu A \)
D. Both forward and reverse currents are in \( \mathrm{mA} \)
E. No current flows in any direction
Subject: Chemistry
How much heat is evolved if 3.2 g of methane is burnt and if the heat of
combustion of methane is \( -880 \mathrm{kJ} \)
\( m o l^{-1} ? \)
\( A \cdot 88 \mathrm{kJ} \)
B. 264 kJ
c. 176 kJ
D. 440 kJ
Subject: Maths
If \( A \) and \( B \) be two complex numbers satisfying \( \frac{\boldsymbol{A}}{\boldsymbol{B}}+\frac{\boldsymbol{B}}{\boldsymbol{A}}=1 . \) Then the two
points represented by A and B and the origin form the vertices of
A. An equilateral triangle
B. An isosceles triangle which is not equilateral
c. An isosceles triangle which is not right angled
D. A right angled triangle
Subject: Maths
If \( \boldsymbol{y}=\frac{\boldsymbol{x}^{2}}{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{x} \sqrt{\boldsymbol{x}^{2}+\mathbf{1}}+ \)
\( \ln \sqrt{x+\sqrt{x^{2}+1}} \), then the value of
\( \boldsymbol{x} \boldsymbol{y}^{\prime}+\log \boldsymbol{y}^{\prime} \) is
\( \mathbf{A} \cdot \underline{y} \)
B. \( 2 y \)
c. 0
D. \( -2 y \)
Subject: Maths
Find the values of the following
determinants
\( \left|\begin{array}{cc}\mathbf{2} \boldsymbol{i} & -\mathbf{3} i \\ \boldsymbol{i}^{3} & -\mathbf{2} \boldsymbol{i}^{5}\end{array}\right| \) where \( \boldsymbol{i}=\sqrt{-\mathbf{1}} \)
Subject: Chemistry
The correct IUPAC name of the
compound \( \boldsymbol{H} \boldsymbol{O O C}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}- \)
COOH is:
A. Butanedioic acid
B. Ethane-1,2-dicarboxylic acid
c. succinic acid
D. 1,2-Ethane dioic acid
Subject: Maths
The largest value of the non-negative
integer \( a \) for which
\( \lim _{x \rightarrow 1}\left\{\frac{-a x+\sin (x-1)+a}{x+\sin (x-1)-1}\right\}^{\frac{1-x}{1-\sqrt{x}}}= \)
\( \mathbf{1} \)
\( \overline{4}^{\text {is }} \)
Subject: Maths
\( P(3,1), Q(6,5) \) and \( R(x, y) \) are three
points such that the angle \( R P Q \) is a
right angle and the area of \( \triangle \boldsymbol{R} \boldsymbol{P} \boldsymbol{Q}=\mathbf{7} \)
then the number of such points \( \boldsymbol{R} \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 4
Subject: Physics
Which of the following cannot be in equilibrium?
A. \( 10 N, 10 N, 5 N \)
\( N \)
B. \( 5 N, 7 N, 9 N \)
c. \( 8 N, 4 N, 13 N \)
D. \( 9 N, 6 N, 5 N \)