AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
\( 50 \mathrm{mL} \) of sample of hard water gave good lather with \( 6 \mathrm{mL} \) of standard soap solution (1 mL soap solutions = 1 mg \( \mathrm{CaCO}_{3} \). If the hardness is only due to
\( M g\left(H C O_{3}\right)_{2}, \) the weight of milk of lime required to remove the hardness completely from \( 100 \mathrm{kg} \) of that sample of water is:
A. \( 17.8 \mathrm{g} \)
в. \( 8.9 \mathrm{g} \)
c. \( 178 g \)
D. 89 \( g \)
Subject: Maths
The curve \( y=\frac{x^{2}}{2} \) and the line \( y=\frac{x}{2} \)
intersect at the origin and at the point
\( (a, b), \) as shown in the figure above. Find
the value of \( b \)
\( A \)
\( \overline{8} \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{2} \)
D.
\( E \)
Subject: Chemistry
Arrange the following hydrocarbons in the increasing order of volume of oxygen required for complete
combustion per mole under the same
conditions.
(a) Ethane
(b) Propyne
(c) Ethyne
(d) Propene
(e) Propane
(f) Ethene
A. \( c<f<a<b<d<e \)
в. \( e<d<b<a<f<c \)
c. \( c<b<f<d<a<e \)
D. \( e<b<d<f<a<c \)
Subject: Maths
Three solid cubes of sides \( 1 \mathrm{cm}, 6 \mathrm{cm} \) and \( 8 \mathrm{cm} \) respectively are melted to form a new cube. Find the surface area
of the cube so formed.
A. 520 sq. \( \mathrm{cm} \)
B. 486 sq. \( \mathrm{cm} \)
c. 289 sq. \( \mathrm{cm} \)
D. 300 sq. \( \mathrm{cm} \)
Subject: Chemistry
The reaction;
\( \mathbf{9 2} \boldsymbol{U}^{\mathbf{2 3 8}}+\mathbf{0} \boldsymbol{n}^{\mathbf{1}} \rightarrow \mathbf{9 2} \boldsymbol{U}^{\mathbf{2 3 9}} \rightarrow \mathbf{9 3} \boldsymbol{N} \boldsymbol{p}^{\mathbf{2 3 9}}+ \)
\( -1 e^{0} \)
is an example of:
A. \( \alpha \) -emission
B. \( \beta \) -emission
C \( . \gamma \) -emission
D. none of these
Subject: Chemistry
\( \boldsymbol{C l}-\boldsymbol{C H}_{2}-\dot{\boldsymbol{C}}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{C H}_{3} \)
\( C l+I^{-} \frac{ }{D M F} \) product
в. \( \quad C l-C H_{2}-\stackrel{C H_{3}}{C}-C H_{2}-C H_{2}-I \)
c. \( \quad \) снз
\[
H_{2} C=C \text { - } C H_{2}-C H_{2}=C l
\]
D. \( \quad C l C H_{2}-C_{I}^{C H_{3}}-C H_{2}=C H_{2} \)
Subject: Chemistry
The electronic configuration of two elements \( X \) and \( Y \) are given below:
\( \boldsymbol{X}=\mathbf{2}, \mathbf{8}, \mathbf{2} \)
\( \boldsymbol{Y}=\mathbf{2}, \mathbf{8}, \mathbf{7} \)
The formula of a compound that can be formed between these two elements is:
A . \( X Y \)
в. \( X Y_{2} \)
c. \( X_{2} Y \)
D. \( X Y_{3} \)
Subject: Chemistry
(P) and (Q) respectively are:
\( \mathrm{Ph}-\mathrm{C}_{\mathrm{CH}_{3}}^{\mathrm{H}}-\mathrm{O}-\mathrm{CH}_{3} \quad \stackrel{\mathrm{HBr}}{\longrightarrow} \quad \begin{array}{l}(\mathrm{P}) \\ \text { Aiconol }\end{array}+\quad \begin{array}{l}(\mathrm{Q}) \\ \text { Alkynalide }\end{array} \)
\( A \)
\( \mathrm{Ph}-\mathrm{C}-\mathrm{OH}, \mathrm{CH}_{3}-\mathrm{Br} \)
B.
\( c \)
\( \mathrm{CH}_{3}-\mathrm{OH}, \mathrm{Ph}-\underset{\mathrm{Br}}{\mathrm{CH}}-\mathrm{CH}_{3} \)
\( D \)
\( \mathrm{Ph}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{Br}, \mathrm{CH}_{3}-\mathrm{OH} \)
Subject: Chemistry
\( F e S O_{4} \) solution mixed with
\( \left(N H_{4}\right)_{2} S O_{4} \) solution in 1: 1 molar
ratio gives the test of \( F e^{2+} \) ion but
\( C u S O_{4} \) solution mixed with aqueous
ammonia in 1: 4 molar ratio does not
give the test of \( C u^{2+} \) ion. Explain why?
Subject: Maths
If the height of cylinder increases from 8 inches to 12 inches, then its volume
increases from \( 72 \pi \) to \( V \). Find the value
of \( \boldsymbol{V} \)
\( \mathbf{A} \cdot 76 \pi \)
в. \( 108 \pi \)
\( c .328 \pi \)
D. \( 576 \pi \)
Subject: Maths
Euclid's division lemma states that for
two positive integers a and b, there exist unique integers \( q \) and \( r \) such that \( \boldsymbol{a}=\boldsymbol{b} \boldsymbol{q}+\boldsymbol{r}, \) where \( r \) must satisfy
\( A \cdot 1<r<b \)
B. \( 0<r \leq b \)
c. \( 0 \leq r<b \)
\( D \cdot 0<r<b \)
Subject: Physics
Assertion
A stationary charged particle in a magnetic field does not experience a force.
Reason
The force acting on a charged particle does not depend on velocity of the
particle
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
From the below-given pairs, which is more stable?
\( \boldsymbol{C r} \boldsymbol{O}_{4}^{2-}-\ldots-\boldsymbol{M o} \boldsymbol{O}_{4}^{2-} \)
A \( \cdot C r O_{4}^{2-}=M o O_{4}^{2-} \)
B . \( C r O_{4}^{2-}<M o O_{4}^{2} \)
c. \( C r O_{4}^{2-}>M o O_{4}^{2-} \)
D. None of these
Subject: Physics
Assertion
An emf is induced in a long solenoid by
a bar magnet that moves while totally inside the solenoid along the axis of the
solenoid.
Reason
As the magnet moves inside the
solenoid the flux through individual turns of the solenoid changes.
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
Calculate \( \left[\boldsymbol{S}^{-2}\right] \) in a solution originally
having \( 0.1 \mathrm{M} H C l \) and \( 0.2 M H_{2} S . \) For
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{K} \boldsymbol{a}_{1}=\mathbf{1} . \boldsymbol{4} \times \mathbf{1 0}^{-\mathbf{7}} \) and \( \boldsymbol{K} \boldsymbol{a}_{2}= \)
\( 1.0 \times 10^{-14} \)
A \( .2 .8 \times 10^{-22} M \)
M
В. \( 3 \times 10^{-15} \mathrm{M} \)
\( \mathbf{c} .2 .8 \times 10^{-21} M \)
D. \( 4 \times 10^{-10} M \)
Subject: Chemistry
In which of the following pairs both members contain peroxy linkage?
A \( \cdot H_{2} S_{2} O_{8}, H_{4} P_{2} O_{6} \)
в. \( H_{2} S O_{5}, H_{4} P_{2} O_{7} \)
c. \( H_{2} T i O_{4}, H_{4} P_{2} O_{8} \)
D. \( S_{3} O_{9}, P_{4} O_{7} \)
Subject: Maths
Solve the following pair of linear equation:
\( \frac{1}{3 x+y}+\frac{1}{3 x-y}=\frac{3}{4}, \frac{1}{2(3 x+y)} \)
\( \frac{1}{2(3 x-y)}=\frac{-1}{8}, 3 x+y \neq 0,3 x- \)
\( \boldsymbol{y} \neq 0 \)
Subject: Chemistry
STATEMENT-1: Extraction of zinc from
sphalerite ore involves the roasting followed by reduction with coke. STATEMENT-2:Zinc can be
commercially extracted by hydrometallurgy.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Physics
A point object is placed at a distance \( 10 c m \) and its real image is formed at a
distance of \( 20 \mathrm{cm} \) from concave mirror
If the object is moved by \( 0.1 \mathrm{cm} \) towards the mirror, the image will shift by about
A. \( 0.4 \mathrm{cm} \) away from the mirror
B. \( 0.4 \mathrm{cm} \) towards the mirror
c. \( 0.8 c m \) away from the mirror
D. \( 0.8 \mathrm{cm} \) towards the mirror
Subject: Maths
Let \( A \) be a set containing \( n \) elements. \( A \) subset \( P \) of the set \( A \) is chosen at
random.The set A is reconstructed by replacing the elements of \( P \) and
another subset \( Q \) of \( A \) is chosen at
random. The probability that \( \boldsymbol{P} \cap \boldsymbol{Q} \)
contains exactly \( m(m<n) \) elements is
\( ^{A} \cdot \frac{3^{n \cdot m} \cdot m^{n}}{^{n}} \)
В. \( \frac{n_{C_{m}} \times 3^{m}}{4^{n}} \)
c. \( \frac{n_{m_{m} \times 3^{n . m}}}{4^{n}} \)
D. None of these
Subject: Chemistry
I. When iron reacts with oxygen an iron oxide compound with the formula of
\( F e_{2} O_{3} \) can be formed
II. Iron atoms form cations with a
charge of +3 by losing 3 electrons and
oxygen atoms gain 2 electrons to form
an anion with a -2 charge.
A. Statement \( I \) is true, Statement \( I I \) is true and is a correct explanation of the phenomena described in 1
B. Statement I is true, Statement II is false
c. Statement I is false, statement II is true
D. Statement I is false, Statement II is false
Subject: Maths
\( A^{\prime} \) s salary is same as 4 times \( B^{\prime} s \)
salary. If together they earn Rs. 3,750 a month, find the salary of each.
A. \( A \) 's = Rs. \( 3000 ; B \) 's = Rs. 750
B. \( A^{\prime} \) 's \( = \) Rs. \( 2000 ; B \) 's = Rs. 800
c. \( A \) 's \( = \) Rs. \( 2500 ; B \) 's \( = \) Rs. 900
D. \( A \) 's = Rs. \( 4500 ; B \) 's = Rs. 1000
Subject: Maths
At a certain university, \( 4 \% \) of men are
over 6 feet tall and \( 1 \% \) of women are over
6 feet tall. The total student population
is divided in the ratio 3: 2 in favour of
women. If a student is selected at
random from among all those over six feet tall, what is the probability that the
student is a woman?
\( A \cdot \frac{3}{11} \)
В. \( \frac{5}{11} \)
\( c \cdot \frac{7}{11} \)
D. none of these
Subject: Maths
OA and OB are opposite rays.
f \( x=75^{\circ}, \) what is the value of \( y ? \)
\( A \cdot 105^{\circ} \)
B \( .75^{\circ} \)
\( \mathbf{c} \cdot 45^{\circ} \)
D \( .15^{\circ} \)
Subject: Maths
If \( A \) is required event and \( S \) is the
sample space, \( \boldsymbol{n}(\boldsymbol{A})=\mathbf{3}, \boldsymbol{n}(\boldsymbol{S})=\mathbf{6} \)
then find \( \boldsymbol{P}(\boldsymbol{A}) \)
Subject: Maths
A wood \( 1 \mathrm{cm} \) thick required to make a box of dimensions \( 24 c m \times 22 c m \times \)
\( 17 \mathrm{cm}, \) is
A \( \cdot 2276 \mathrm{cm}^{3} \)
B . \( 2500 \mathrm{cm}^{3} \)
c. \( 2600 c m^{3} \)
D. \( 2376 c m^{3} \)
Subject: Physics
The gravitational potential due to earth at infinite distance from it is zero. Let
the gravitational potential at a point \( \boldsymbol{P} \) be \( -5 J k g^{-1} . \) Suppose, we arbitrarily assume the gravitational potential at infinity to be \( +10 J k g^{-1} \), then the gravitational potential at \( \boldsymbol{P} \) will be
\( \mathbf{A} \cdot-5 J k g^{-1} \)
\( \mathbf{B} \cdot+5 J k g^{-1} \)
c. \( -15 J k g^{-1} \)
\( \mathbf{D} \cdot+15 J k g^{-1} \)
Subject: Chemistry
Write the structure of
Potassiumhexacyanochromate(III).
\( \mathbf{A} \cdot K_{4}\left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \)
\( \mathbf{B} \cdot K_{3}\left[C r(C N)_{6}\right] \)
\( \mathbf{c} \cdot K_{3}\left[F e(C N)_{6}\right] \)
D \( \cdot K_{2}\left[N i(C N)_{4}\right] \)
Subject: Maths
\( \triangle A B C \) is an isosceles triangle with
\( A B=A C . \) Then the line of symmetry
for the \( \triangle A B C \) will be:
This question has multiple correct options
A. Perpendicular bisector of \( B C \)
B. Angle bisector of \( \angle B \)
C. Altitude from vertex \( A \) on line \( B C \)
D. Median from vertex \( C \) to side \( A B \)
Subject: Chemistry
Arrange in the order of nucleophilicity:
\( \boldsymbol{H O}^{-}, \boldsymbol{C H}_{3} \boldsymbol{O}^{-}, \boldsymbol{C H}_{3} \equiv \)
\( \boldsymbol{C}^{-}, \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O}^{-} \)
A. \( H O^{-}>C H_{3} O^{-}>C H_{3} \equiv C^{-}>C H_{3} C O O \)
в. \( C H_{3} C O O^{-}>H O^{-}>C H_{3} O^{-}>C H_{3} \equiv C^{-} \)
C. \( H O^{-}<C H_{3} O^{-}<C H_{3} \equiv C^{-}<C H_{3} C O O^{-} \)
D. \( C H_{3} C O O^{-}<H O^{-}<C H_{3} O^{-}<C H_{3} \equiv C^{-} \)
Subject: Maths
In the given diagram, \( O \) is the centre of
the circle and \( P Q R \) is a straight line.
The value of \( x \) is
A \( \cdot 110^{\circ} \)
B. \( 120^{\circ} \)
\( c \cdot 130^{\circ} \)
D. \( 140^{\circ} \)
Subject: Chemistry
Is the reaction, \( 2 A l+3 F e^{2+} \rightleftharpoons \)
\( 2 A l^{3+}+2 F e \) possible?
A. No, because standard oxidation potential of \( A l<F e \)
B. Yes, because standard oxidation potential of \( A l>F e \)
c. cannot be predicted
D. Yes, because aluminium is a strong oxidising agent
Subject: Chemistry
Which of the following arrangements is correct on the basis of the increasing \( \mathrm{p} \) character of the hybrid orbitals of the central atoms in the following:
\( C l O_{2}^{-} \)
\( \boldsymbol{C S}_{2} \)
\( \boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{2} \)
A. \( I<I I I<I I \)
В. \( I I>I>I I I \)
c. \( I>I I>I I I \)
D. \( I I I>I>I I \)
Subject: Maths
\( P \) is any point on the circumcircle of
\( \triangle A B C \) other than the vertices. \( H \) is the
orthocenter of \( \triangle A B C, M \) is the mid-
point of \( \boldsymbol{P H} \) and \( \boldsymbol{D} \) is the mid-point of
\( B C . \) Then
A. \( A P \) is opposite side of \( D M \)
B. \( D M \) is parallel to \( A P \)
c. \( D M \) is perpendicular to \( A P \)
D. None of these
Subject: Physics
A short bar Magnet with its north pole facing North forms a neutral point P in the horizontal plane. If the magnet is rotated by \( 90^{0} \) in the horizontal plane, the net magnetic induction at \( \mathrm{P} \) is:
(Horizontal component of earths
magnetic field is \( B_{H} \) )
A. 0
в. \( 2 B_{H} \)
c. \( \frac{\sqrt{5}}{2} B_{H} \)
D. \( \sqrt{5} B_{H} \)
Subject: Biology
Arrange the following terms regarding process of respiration in chronological order of its decreasing volume of air
I. Expiratory reserve volume
II. Vital capacity
III. Tidal volume
IV. Residual volume
A. \( I I \rightarrow I V \rightarrow I \rightarrow I I I \)
B. \( I I \rightarrow I V \rightarrow I I I \rightarrow I \)
c. \( I \rightarrow I V \rightarrow I I I \rightarrow I I \)
D. \( I V \rightarrow I \rightarrow I I I \rightarrow I \)
Subject: Physics
An ideal monoatomic gas is taken
around the cycle \( A B C D A \) as shown in
\( \boldsymbol{P}-\boldsymbol{V} \) diagram.The Work done during
the cycle is
\( A \cdot P V \)
в. \( 0.5 P V \)
\( c .2 P V \)
D. \( 3 P V \)
Subject: Chemistry
Match the following.
List

List I
1. Heavy water
A) Bicarbonates of \( M g \)
2. Temporary
B) No foreign ions in water hard water
3. Soft water
C) \( D_{2} O \)
4
Permanent
D) Sulphates and Chlorides of hard water \( M g \& C a \) in water
\( \mathbf{A} \cdot 1-C, 2-D, 3-B, 4-A \)
B . \( 1-B, 2-A, 3-C, 4-D \)
C \( .1-B, 2-D, 3-C, 4-A \)
D . \( 1-C, 2-A, 3-B, 4-D \)
Subject: Chemistry
Concentrate nitric acid oxidises
phosphorus to phosphoric acid according to the following equation:
\( \boldsymbol{P}+\mathbf{5} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}(\boldsymbol{c} \boldsymbol{o} \boldsymbol{n} \boldsymbol{c} .) \rightarrow \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}+\mathbf{5} \boldsymbol{N} \boldsymbol{O}_{2} \)
What mass of phosphoric acid can be
prepared from \( 6.2 g \) of phosphorous?
Subject: Chemistry
\( \mathbf{2} \boldsymbol{C a}_{3}\left(\boldsymbol{P} \boldsymbol{O}_{4}\right)_{2}+\boldsymbol{6} \boldsymbol{S} \boldsymbol{i} \boldsymbol{O}_{2}+\mathbf{1 0} \boldsymbol{C} \rightarrow \boldsymbol{P}_{4}+ \)
\( \ldots . \mathrm{CaSiO}_{3}+\mathbf{1 0 C O} \)
Which coefficient balances the reaction
given above?
A . 2
B. 4
c. 5
D. 6
E . 8
Subject: Physics
An object travels 10 s with uniform acceleration along a straight line path. During this period if the velocity of the object is increased from
\( 5 m s^{-1} \) to \( 25 s^{-1}, \) then find the distance
travelled by the body?
A . \( 150 \mathrm{m} \)
B. 100 m
c. \( 125 \mathrm{m} \)
D. \( 175 \mathrm{m} \)
Subject: Maths
Assertion
If \( A \& B \) are two events such that \( P(A)=\frac{2}{5}, P(B)=\frac{3}{4} \) then \( \frac{1}{20} \leq \)
\( P(A \cap B) \leq \frac{2}{5} \)
Reason
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B}) \leq \max \{\boldsymbol{P}(\boldsymbol{A}), \boldsymbol{P}(B)\} \& \)
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \geq \min \{\boldsymbol{P}(\boldsymbol{A}), \boldsymbol{P}(\boldsymbol{B})\} \)
A. Both Assertion \& Reason are individually true \& Reason is correct explanation of Assertion
B. Both Assertion \& Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Chemistry
3 faraday of electricity are passed through molten \( A l_{2} O_{3}, \) aqueous
solution of \( C u S O_{4} \) and molten NaCl
taken in three different electrolytic
cells. The amount of \( \mathrm{Al}, \mathrm{Cu}, \) and \( \mathrm{Na} \)
deposited at the cathodes will be in the ratio of
A. 1 mole : 2 mole : 3 mole
B. 3 mole:2 mole:1 mole
c. 1 mole : 1.5 mole : 3 mole
D. 1.5 mole : 2 mole : 3 mole
Subject: Maths
A series of concentric ellipses
\( \epsilon_{1}, \epsilon_{2}, \epsilon_{3}, \cdots \in_{n} \) are drawn such that \( \epsilon_{n} \)
touches the extremities of the major
axis of \( \epsilon_{n-1} \) and the focii of \( \epsilon_{n} \) coincides
with the extremities of the minor axis of
\( \epsilon_{n-1} \) if the \( e \) of the ellipse is independent on \( n, \) then the value of \( e ? \)
Subject: Physics
\( \mathbf{A} \)
\( 3 k g \) object has initial velocity \( (6 \hat{i}- \) \( \mathbf{2} \hat{\boldsymbol{j}}) \boldsymbol{m} / \boldsymbol{s} . \) The total work done on the
object if its velocity changes to \( (8 \hat{i}+ \) \( 4 \hat{j}) m / s \) is :
A .2165
J 52665.53
в. \( 44 J \)
c. \( 60 J \)
D. \( 120 J \)
Subject: Physics
If \( \mathrm{S} \) is the stress and \( \mathrm{Y} \) is Young's modulus of the material of a wire, the
energy stored in the wire per unit volume is :
\( \mathbf{A} \cdot 2 S^{2} Y \)
B. \( \frac{s^{2}}{2 Y} \)
c. \( \frac{2 Y}{S^{2}} \)
D. \( \frac{S}{2 Y} \)
Subject: Physics
A planoconvex lens of focal length 20
cm has its plane side silvered
This question has multiple correct options
A. The radius of curvature of curved surface of given plano-convex lens is equal to half of radius of curvature of a surface of equiconvex lens of focal length \( 20 \mathrm{cm} \)
B. An object placed at \( 15 \mathrm{cm} \) on the axis on the convex side of silvered plano-convex lens gives rise to an image at a distance of \( 30 \mathrm{cm} \) from it
C. An object placed at a distance of \( 20 \mathrm{cm} \) on the axis on the convex side of silvered plano-convex lens gives rise to an image at \( 40 \mathrm{cm} \) from it
D. silvered plano-convex lens acts as a concave mirror of focal length \( 10 \mathrm{cm} \)
Subject: Chemistry
If the pressure in a reaction vessel for the following reaction is increased by decreasing the volume, what will happen to the concentrations of \( C O \) and
\( \boldsymbol{C O}_{2} ? \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{H} \boldsymbol{e a t} \)
A \( \cdot \) both the \( [C O] \) and \( \left[C O_{2}\right] \) will decrease
B. neither the [CO] nor the [CO \( _{2} \) ] will change
c. the \( [C O] \) will decrease and the \( \left[C O_{2}\right] \) will increase
D. both the [CO] and [CO \( _{2} \) ) will increase
Subject: Chemistry
One litre of water contains \( 1.0 \times 10^{-7} \)
moles of \( \boldsymbol{H}^{+} \) ions. The degree of
ionization of water is:
A \( \cdot 1.8 \times 10^{-9} \% \)
В. \( 0.8 \times 10^{-9} \% \)
c. \( 3.6 \times 10^{-9} \% \)
D. \( 3.6 \times 10^{-7} \% \)
Subject: Physics
At a curved path of the road, the road bed is raised a little on the side away
from the centre of the curved path. The slope of the road bed is given by
A \( \cdot \tan \theta=r g / v^{2} \)
B . \( \tan \theta=r / g v^{2} \)
C. \( \tan \theta=v^{2} / r g \)
D. \( \tan \theta=v^{2} g / r \)
Subject: Physics
The figure shown a ball striking the floor
at an angle \( \alpha \) with speed \( u \) and
rebounds at an angle \( \beta \) from the floor
with speed \( v . \) The value of co-efficient of restitution (e) is
A \( \cdot \frac{v}{u} \)
в. \( \frac{u}{v} \)
c. \( \frac{v \sin \beta}{u \sin \alpha} \)
D. \( \frac{v \sin \beta}{u \cos \alpha} \)
Subject: Physics
A point source emits sound equally in all directions in a non-absorbing
medium. Two points \( P \) and \( Q \) are at
distance of \( 2 m \) and \( 3 m \) respectively from the source. The ratio of the
intensities of the wave at \( P \) and \( Q \) is:
A . 9: 4
B. 2: 3
\( c .3: 2 \)
D. 4: 9
Subject: Physics
The intensity of the central maximum in Youngs double-slit experiment is \( 4 I \) The intensity at the first minimum is zero and the distance between two
consecutive maxima is \( \boldsymbol{w} \). The distance
from the central maximum to the
position where the intensity falls to \( I \) is
A \( \frac{2}{3} \omega \)
в. \( \frac{1}{4} \omega \)
c. \( \frac{1}{2} \omega \)
D. \( \frac{1}{3} \)
Subject: Physics
For a given circuit, it is observed that
the current \( I \) is independent of the
value of the resistance \( R_{6} \). Then, the
resistance values must satisfy
A \( \cdot R_{2} R_{3}=R_{1} R_{4} \)
в. \( R_{3} R_{4} R_{6}=R_{2} R_{1} R_{5} \)
c. \( \frac{1}{R_{3}+R_{4}}=\frac{1}{R_{5}}+\frac{1}{R_{6}}-\frac{1}{R_{1}+R_{2}} \)
D. \( R_{3} R_{1}=R_{2} R_{4}=R_{5} R_{6} \)
Subject: Physics
In the method using the transformers,
assume that the ratio of the number of
turns in the primary to that in the secondary in the step-up transformer is \( 1: 10 . \) If the power to the consumers has to be supplied at \( 200 \mathrm{V} \), the ratio of the number of turns in the primary to that in the secondary in the step-down transformer is
\( A \cdot 200: 1 \)
B. 150:1
c. 100: 1
D. 50:
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \) and
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}_{3} \) are they
constitutional isomers or not?
Subject: Maths
The value of \( \lim _{n \rightarrow \infty} \Sigma_{1}^{n} \sin \left(\frac{\pi}{4}+\frac{\pi i}{2 n}\right) \frac{\pi}{2 n}=? \)
\( ^{\mathbf{A}} \cdot \int_{\frac{\pi}{2}}^{\frac{\pi}{4}} \sin x d x \)
B. \( \int_{\frac{\pi}{2}}^{\frac{3 \pi}{4}} \sin x d x \)
\( ^{\mathrm{c}} \cdot \int_{\frac{\pi}{7}}^{\frac{3 \pi}{4}} \sin x d x \)
D. \( \int_{\pi}^{3 \pi} \sin x d x \)
Subject: Maths
Sum the following series to n terms:
\( \mathbf{3}+\mathbf{5}+\mathbf{9}+\mathbf{1 5}+\mathbf{2 3}+\dots \)
A \( \cdot \frac{n}{3}\left(n^{2}-8\right) \)
В \( \cdot \frac{n}{3}\left(n^{2}+8\right) \)
c. \( \frac{n}{2}\left(n^{3}+8\right) \)
D. None of these
Subject: Biology
Consider the diagram given below
Parts labelled as \( A, B, C, D, E \) and \( F \)
respectively indicate
A. Sacrum, lilum, pubis, femur, tibia and fibula
3. Ilium, pubis, sacrum, femur, fibula and tibia
c. Sacrum, pubis, ilium, femur, tibia and fibula
2. llium sacrum oubis, femur. tibia and fibula
Subject: Physics
A light ray travels from optically denser medium to optically rarer medium, if the angle of incidence and refraction at
point of incidence are \( \angle i \) and \( \angle \boldsymbol{r} \)
respectively, then find the angle of deviation in terms of \( \angle i \) and \( \angle r \)
A. \( \angle i+\angle r \)
B. \( \frac{L}{L r} \)
c. \( \angle i-\angle r \)
D. \( \angle r-\angle i \)
Subject: Physics
The near point and far point of a person
are \( 40 \mathrm{cm} \) and \( 250 \mathrm{cm} \) respectively. Determine the power of the lens he/she
should use while reading a book kept at distance \( 25 \mathrm{cm} \) from the eye.
A .2 .5 D
в. 5.0 D
\( c .1 .5 \)
D. 3.5
Subject: Maths
If \( A \) and \( B \) are independent events such that \( \mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})<\mathbf{1}, \) then
This question has multiple correct options
A. A, B are mutually exclusive
B. A and \( \bar{B} \) are independent
c. \( \bar{A} \) and \( \bar{B} \) are independent
D. \( P(A / B)+P(\bar{A} / B)=1 \)
Subject: Physics
Consider an YDSE that has different
slits width, as a result, amplitudes of
waves from two slits are \( A \) and \( 2 A \)
respectively. If \( I_{0} \) be the maximum
intensity of the interference pattern,
then intensity of the pattern at a point
where phase difference between waves
is \( \phi \) is :
\( \mathbf{A} \cdot I_{0} \cos ^{2} \phi \)
B. \( \frac{I_{0}}{3} \sin ^{2} \frac{\phi}{2} \)
c. \( \frac{I_{0}}{9}[5+4 \cos \phi] \)
D \( \cdot \frac{I_{0}}{9}[5+8 \cos \phi] \)
Subject: Chemistry
Total number of stereo isomers of
\( \left[\boldsymbol{C o}(\boldsymbol{a} \boldsymbol{c a c})_{2} \boldsymbol{B r} \boldsymbol{C l}\right]^{-} \) are:
\( A \cdot 4 \)
B. 3
\( c \cdot 6 \)
D.