AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Aqueous solutions of
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}, \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}, \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O H} \) and
\( \boldsymbol{C H}_{3} \boldsymbol{C O O N a} \) of identical
concentrations are provided. The pair(s) of solutions which form a buffer upon
mixing are:
This question has multiple correct options
A. \( \mathrm{HNO}_{3} \) and \( \mathrm{CH}_{3} \mathrm{COOH} \)
B. кОН апа СНзСООNa
c. \( \mathrm{HNO}_{3} \) and \( \mathrm{CH}_{3} \mathrm{COONa} \)
D. \( \mathrm{CH}_{3} \mathrm{COOH} \) and \( \mathrm{CH}_{3} \mathrm{COONa} \)
Subject: Chemistry
Expression for \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{H} \boldsymbol{g}_{2}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \) is:
\( \mathbf{A} \cdot\left[H g^{+}\right]^{2}\left[N O_{3}^{-}\right]^{2} \)
B \( \cdot\left[H g_{2}^{+}\right]^{2}\left[N O_{3}^{-}\right]^{2} \)
\( \mathbf{c} \cdot\left[H g_{2}^{2+}\right]\left[N O_{3}^{-}\right]^{2} \)
\( \mathbf{D} \cdot\left[H g_{2}^{2+}\right]^{2}\left[N O_{3}^{-}\right]^{2} \)
Subject: Physics
The moment of inertial about the center
of mass of the unified body after the
collision is
A \( \cdot \frac{48}{5} m r^{2} \)
B. \( \frac{48}{3} m r^{2} \)
c. \( \frac{24}{5} m r^{2} \)
D \( \cdot \frac{24}{3} m r^{2} \)
Subject: Maths
\( \boldsymbol{n} \stackrel{L t}{\rightarrow} \infty\left[\frac{\boldsymbol{n}+\mathbf{1}}{\boldsymbol{n}^{2}+\mathbf{1}^{2}}+\frac{\boldsymbol{n}+\boldsymbol{2}}{\boldsymbol{n}^{2}+\mathbf{2}^{2}}+\ldots+\right. \)
\( \left.\frac{\boldsymbol{n}+\boldsymbol{n}}{\boldsymbol{n}^{2}+\boldsymbol{n}^{2}}\right]= \)
A. \( \frac{\pi}{4}+\frac{1}{2} \log 2 \)
B. \( \frac{\pi}{4}-\frac{1}{2} \log 2 \)
c. \( \frac{\pi}{2}+\frac{1}{2} \log 2 \)
D. \( \frac{\pi}{4}+\frac{1}{4} \log 2 \)
Subject: Maths
If the lines \( \frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4} \) and
\( \frac{\boldsymbol{x}-\mathbf{3}}{\mathbf{1}}=\frac{\boldsymbol{y}-\boldsymbol{k}}{\mathbf{2}}=\frac{\boldsymbol{z}}{\mathbf{1}} \) intersect, then the
value of \( k \) is
A \( \cdot \frac{3}{2} \)
B. \( \frac{9}{2} \)
\( c \cdot-\frac{2}{9} \)
D. \( -\frac{3}{2} \)
Subject: Physics
Particles \( P \) and \( Q \) of masses \( 20 g \) of \( 40 g \) respectively are projected from the
positions \( A \) and \( B \) on the ground. The
initial velocities of \( \boldsymbol{P} \) and \( \boldsymbol{Q} \) make
angles of \( 45^{\circ} \) and \( 135^{\circ} \) respectively with
the horizontal as shown in the figure. Each particle has an initial speed of \( 49 m / s . \) The separation \( A B \) is \( 245 m \)
Both particles travel in the same vertical plane and undergo a collision After the collision \( P \) retraces its path.
What is the distance of \( Q \) (w.r.t its
initial position) where it hits the ground?
Subject: Physics
A block of mass \( 1 \mathrm{kg} \) and a pan of equal mass are connected by a string going over a smooth light pulley. Initially the system is at rest when a particle of mass \( 1 \mathrm{kg} \) falls on the pan and stick to it. If the particle strike the pan with speed \( 6 m / s \) then the speed with which the system moves just after the collision is?
A. \( 3 m / s \)
в. \( 4 m / s \)
c. \( 2.5 m / s \)
D. \( 2 m / s \)
Subject: Biology
Assertion
Puccinia can infect wheat only if Berberis vulgaris is growing near wheat.
Reason
Black rust is heteroecious.
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
A block of mass \( 2 \mathrm{kg} \) is resting over another block of mass 6 kg. 2 kg is connected to one end of a string fixed to a vertical wall as shown. If the
coefficient of friction between the
blocks is \( 0.4, \) the force required to pull out the \( 6 \mathrm{kg} \) block with an acceleration
of \( 1.5 \mathrm{m} / \mathrm{s}^{2} \) will be \( \left(\mathrm{g}=10 \mathrm{ms}^{-2}\right) \)
A . 17
B. 9 N
\( c \cdot 8 n \)
D. 1 N
Subject: Chemistry
The outermost electronic configuration of the most electronegative element is:
\( \mathbf{A} \cdot n s^{2} n p^{3} \)
В \( \cdot n s^{2} n p^{4} \)
c. \( n s^{2} n p^{5} \)
D. \( n s^{2} n p^{6} \)
Subject: Chemistry
The \( p H \) of \( 0.1 ~ M \) solution of the following salts increases in the order
A. \( N a C l<N H_{4} C l<N a C N<H C l \)
в. \( \operatorname{NaCN}<N H_{4} C l<N a C l<H C l \)
c. \( H C l<N a C l<N a C N<N H_{4} C l \)
D. \( H C l<N H_{4} C l<N a C l<N a C N \)
Subject: Physics
A boy sitting on the top most berth in the compartment of a train which is
just going to stop on a railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about \( 2 \mathrm{m} \)
The apple will fall
A. In the hand of his brother
B. Slightly away from the hands of his brother in the direction of motion of the train
c. Slightly away from the hands of his brother in the direction opposite to the direction of motion of the train
D. None of these
Subject: Maths
\( G \) is a set of all rational numbers except
-1 and \( * \) is defined by \( a * b=a+b+ \)
\( a b \) for all \( a, b \in G, \) in the group \( (G, *) \)
the solution of \( 2^{-1} * x * 3^{-1}=5 \) is
\( \mathbf{A} \cdot 71 \)
B. 68
c. \( 63 / 5 \)
D. \( 72 / 5 \)
Subject: Physics
A and B are two solid spheres of equal masses. A rolls down an inclined plane
without slipping from a height \( \boldsymbol{H} . \) B falls vertically from the same height. Then on reaching the ground. This question has multiple correct options
A. both can do equal work
B. A can do more work than B
c. B can do more work than A
D. both A and B will have different linear speeds
Subject: Maths
The domain of function \( f(x)=\sin ^{-1} 5 x \)
is
A \( \cdot\left(-\frac{1}{5}, \frac{1}{5}\right) \)
B. \( \left[-\frac{1}{5}, \frac{1}{5}\right] \)
c. \( R \)
D. \( \left(0, \frac{1}{5}\right) \)
Subject: Maths
State True or False:
Addition of \( a^{6}-4 a^{4}+6 a, 5 a^{6}+ \)
\( \mathbf{5} a^{4}+\mathbf{6 a}, \mathbf{1 2 a}^{\mathbf{6}}-\mathbf{1 0 a} \) is \( \mathbf{1 8 a}^{\mathbf{6}}+\boldsymbol{a}^{\mathbf{4}}+ \)
\( \mathbf{2} \boldsymbol{a} \)
A. True
B. False
Subject: Biology
is a couple of layers thick, made of narrow, thin walled and nearly
rectangular cells. It cuts derivatives on both sides. The outer cells differentiate
into while the
inner cells differentiate into
or \( _{\text {十一一一一一一一. }} \) The three together is called

Select the right sequence of words to complete the above given paragraph.
A. Phellogen, cork, phellem, secondary cortex, phelloderm, periderm
B. Phellem, phelloderm, cork, secondary cortex, phellogen, periderm
c. Phellogen, cork, periderm, secondary cortex, phellem, phelloderm
D. Phellem, secondary cortex, periderm, cork, phellogen, phelloderm
Subject: Physics
A point charge q is placed at origin. Let \( \vec{E}_{A}, \vec{E}_{B} \) and \( \vec{E}_{C} \) be the electric fields at three points \( A(1,2,3), B(1,1,-1) \) and \( C(2,2,2) \) due to charge q. Then :
\( \mathbf{A} \cdot \vec{E}_{A} \perp \vec{E}_{B} \)
В . \( \vec{E}_{A}=\vec{E}_{B} \)
\( \mathbf{c} \cdot|\overrightarrow{E_{B}}|=|\overrightarrow{E_{C}}| \)
D \( \cdot\left|\vec{E}_{B}\right|=8\left|\vec{E}_{C}\right| \)
Subject: Chemistry
\( \boldsymbol{A}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{B}+\boldsymbol{H} \boldsymbol{C l} \)
\( \boldsymbol{B}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C}+\boldsymbol{H} \boldsymbol{C l} \)
Compound \( (A),(B) \) and \( (C) \) will be
respectively:
A. \( P C l_{5}, P O C l_{3}, H_{3} P O_{3} \)
в. \( P C l_{5}, P O C l_{3}, H_{3} P O_{4} \)
c. \( \operatorname{sOCl}_{2}, \operatorname{POCl}_{3}, H_{3} P O_{3} \)
D. \( P C l_{3}, P O C l_{3}, H_{3} P O_{4} \)
Subject: Maths
The matrix A satisfies the matrix
equation if \( A=\left[\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right] \)
\( \mathbf{A} \cdot A^{2}-4 A-5 I=0 \)
B \( \cdot A^{2}-4 A-5=0 \)
C \( \cdot A^{2}+4 A-5 I=0 \)
D \( \cdot A^{2}+4 A-5=0 \)
Subject: Chemistry
A white solid imparts a violet colour to a Bunsen flame. On being heated with
concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \) the solid gives
violet vapours that turns starch paper blue. The salt may be :
A. Nal
B. KI
c. \( C a B r_{2} \)
D. \( M g I_{2} \)
Subject: Maths
If \( \vec{V}=3 \hat{i}+4 \hat{j} \) then, with what scalar 'C must it be multiplied so that \( C|\overrightarrow{\boldsymbol{V}}|= \)
\( \mathbf{7 . 5}: \)
A . 0.5
B . 2.
c. 1.5
D. 3.5
Subject: Maths
The value of \( 3 \tan ^{-1} \frac{1}{2}+2 \tan ^{-1} \frac{1}{5}+ \)
\( \sin ^{-1} \frac{142}{65 \sqrt{5}} \) is
A \( \cdot \frac{\pi}{4} \)
B. \( \frac{\pi}{2} \)
c. \( \pi \)
D. none of these
Subject: Maths
The value of \( \int \frac{\cos x+x \sin x}{x^{2}+x \cos x} d x \) is
\( \mathbf{A} \cdot \log \left|\frac{\sin x}{1+\cos x}\right|+C \)
\( \mathbf{B} \cdot \log \left|\frac{\sin x}{x+\cos x}\right|+C \)
\( \mathbf{C} \cdot \log \left|\frac{2 \sin x}{x+\cos x}\right|+C \)
\( ^{\mathbf{D}} \cdot \log \left|\frac{x}{x+\cos x}\right|+C \)
Subject: Physics
An electric dipole consists of two opposite charges each of magnitude
\( 1.6 \times 10^{-19} \) coulomb at separation
1 Armstrong. The diploe moment is:
A \( \cdot 1.6 \times 10^{-19} c-m \)
В. \( 1.6 \times 10^{-29} c-m \)
c. \( 3.2 \times 10^{-29} c-m \)
D. \( 3.2 \times 10^{-19} \mathrm{C}-\mathrm{m} \)
Subject: Maths
If the volume of spherical ball is increasing at the rate of \( 4 \pi c c / \) sec then
the rate of change of its surface area
when the volume is \( 288 \pi c c \) is
A \( \cdot \frac{4}{3} \pi c m^{2} / \) sec
в. \( \frac{2}{3} \pi c m^{2} / \) sec
\( \mathrm{c} \cdot 4 \pi \mathrm{cm}^{2} / \mathrm{sec} \)
D. \( 2 \pi c m^{2} / \) sec
Subject: Chemistry
\( K_{3} C o F_{6} \) is a high spin complex. What
is the hybridisation of \( C o \) atom in this
complex?
\( A \cdot s p^{3} d \)
B \( \cdot s p^{3} d^{2} \)
c. \( d^{2} s p^{3} \)
D. \( d s p^{2} \)
Subject: Maths
The differential equation which
represents the family of curves given by
\( \tan y=c\left(1-e^{x}\right) \) is
A \( \cdot e^{x} \tan y d x+\left(1-e^{x}\right) d y=0 \)
B . \( e^{x} \) tan \( y d x+\left(1-e^{x}\right) \sec ^{2} y d y=0 \)
C \( \cdot e^{x}\left(1-e^{x}\right) d x+\tan y d y=0 \)
D. \( e^{x} \tan y d y+\left(1-e^{x}\right) d x=0 \)
Subject: Chemistry
The conductivity of a saturated solution of \( B a S O_{4} \) is \( 3.06 \times 10^{-6} \) ohm \( ^{-1} c m^{-1} \)
and its molar conductance is \( 1.53 o h m^{-1} c m^{-1} m o l^{-1} \) the \( K_{s p} \) of
\( B a S O_{4} \) will be ?
A \( \cdot 4 \times 10^{-12} \)
В. \( 2.5 \times 10^{-9} \)
c. \( 2.5 \times 10^{-13} \)
D. \( 4 \times 10^{-6} \)
Subject: Maths
If the matrices \( A, B,(A+B) \) are non singular then \( \left[\boldsymbol{A}(\boldsymbol{A}+\boldsymbol{B})^{-1} \boldsymbol{B}\right]^{-1} \) is
equal to-
\( \mathbf{A} \cdot A+B \)
B. \( A^{-1}+B^{-1} \)
c. \( A(A+B)^{-1} \)
D. None
Subject: Physics
A river is flowing from west to east at a speed of \( 5 \mathrm{m} / \mathrm{minute} . \) In what direction
should a man on the south bank of the
river capable of swimming at \( 10 \mathrm{m} / \mathrm{min} \) in still water should swim to cross the
water in shortest time?
A. East
B. west
c. south
D. North
Subject: Chemistry
One of the reaction that takes place in
producing steel from iron ore is the reduction of iron(ll) oxide by carbon
monoxide to give iron metal and \( C O_{2} \)
\( \boldsymbol{F e O}(\boldsymbol{s})+\boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{F} \boldsymbol{e}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \)
\( \boldsymbol{K}_{\boldsymbol{P}}=\mathbf{0 . 2 6 5} \) at \( \boldsymbol{m} \) at \( \mathbf{1 0 5 0} \boldsymbol{K} . \) What are
the equilibrium partial pressures of \( \mathrm{CO} \)
and \( C O_{2} \) respectively at \( 1050 \mathrm{K} \) if the
initial partial pressures are: \( \boldsymbol{p}_{c o}= \)
1.4 atm and \( p_{c o_{2}}=0.80 \) atm?
A \( \left.\cdot\left[P_{C O}\right]=1.739 \text { at } m \text { and } P_{C O_{2}}\right]=0.461 \) at
B . \( \left[P_{C O}\right]=17.39 a t m \) and \( P_{C O_{2}}=0.461 a t m \)
C \( \left.\cdot\left[P_{C O}\right]=1.79 \text { at } m \text { and } P_{C O_{2}}\right]=0.46 \) at \( m \)
D . \( \left.\left[P_{C O}\right]=2.739 \text { at } m \text { and } P_{C O_{2}}\right]=1.461 \) at
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{\sqrt{1+p x}-\sqrt{1-p x}}{x} & -1 \leq x<0 \\ \frac{2 x+1}{x-2} & 0 \leq x \leq 1\end{array}\right. \)
continuous in the interval \( [-1,1], \) then
\( \boldsymbol{p}= \)
A . -
B. \( \frac{-1}{2} \)
\( c \cdot \frac{1}{2} \)
\( D \)
Subject: Biology
Assertion
Phellogen is cork cambium formed in dicot roots and shoots to protect underlying tissues.
Reason
It secretes phellem which substitutes
epidermis after secondary growth.
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: Maths
In the adjoining figure, parallel lines are
shown with similar markings. Find \( \angle x \)
if \( \angle x=5 \angle y \)
\( \mathbf{A} \cdot 30^{\circ} \)
B. \( 60^{\circ} \)
c. \( 150^{\circ} \)
D. \( 170^{\circ} \)
Subject: Maths
f the line \( \left(\frac{x}{2}+\frac{y}{3}-1\right)+\lambda(2 x+y- \)
1) \( =0 \) is parallel to \( x \) -axis then \( \lambda= \)
\( A \cdot-\frac{1}{2} \)
B. \( \frac{1}{2} \)
\( c \cdot-\frac{1}{4} \)
D.
Subject: Physics
If the density of materials of two strings of same length, tension and area of cross-section are 2 kgm \( ^{-3} \) and
\( 4 k g m^{-3} \) respectively then the ratio of their frequencies will be
A. \( 1: \sqrt{2} \)
2 \( : \sqrt{2} \cdot \sqrt{2} \)
B . 2: 1
c. 1: 2
D. \( \sqrt{2}: 1 \)
Subject: Chemistry
Which of the following configurations corresponds to element of highest ionisation energy?
A \( \cdot 1 s^{2}, 2 s^{1} \)
B . \( 1 s^{2}, 2 s^{2}, 2 p^{3} \)
C. \( 1 s^{2}, 2 s^{2}, 2 p^{2} \)
D. \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{1} \)
Subject: Maths
The \( x \) and \( y \) components of vector \( \vec{A} \) are
\( 4 m \) and \( 6 m \) respectively. The \( x \) and \( y \) components of vector \( \overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}} \) are \( \mathbf{1 0} \boldsymbol{m} \)
and 9 m respectively. For the vector \( \vec{B} \) calculate the following
(i) \( x \) and \( y \) components
(ii) length and
(iii) the angle it makes with \( x \) -axis
A. (i) \( 6 m, 3 m \)
(ii) \( \sqrt{45} m \)
(iii) \( \tan ^{-1}\left(\frac{1}{2}\right) \)
B.
(i) \( 4 m, 2 m \) (ii) \( \sqrt{90} m \) (iii) \( \tan ^{-1}\left(\frac{1}{2}\right) \)
c. \( \left(\text { i) } 3 m, 6 m \text { (ii) } \sqrt{45} m \text { (iii) } \tan ^{-1}\left(\frac{3}{2}\right)\right. \)
\( D \)
(i) \( 4 m, 3 m \) (ii) \( \sqrt{60} m \) (iii) \( \tan ^{-1}\left(\frac{5}{2}\right) \)
Subject: Maths
\( \mathbf{n} \Delta \boldsymbol{P} \boldsymbol{Q} \boldsymbol{R}, \angle \boldsymbol{P}=\mathbf{2} \boldsymbol{x}+\mathbf{1}^{\circ}, \angle \boldsymbol{Q}=\mathbf{3} \boldsymbol{x}+ \)
\( \mathbf{3}^{\circ} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \angle \boldsymbol{R}=\boldsymbol{x}+\boldsymbol{2}^{\circ} . \) What is the value
of x?
Subject: Chemistry
Which of the following statements are
true with respect to electronic displacement in a covalent bond?
I. Inductive effect operates through \( \pi \)
bond.
II. Resonance effect operates through \( \sigma \) bond.
III. Inductive effect operates through \( \sigma \)
bond.
IV. Resonance effect operates through \( \pi \)
-bond
V. Resonance and inductive effects
operate through \( \sigma \) -bond.
A. III and IV
B. I and II
c. Il and IV
D. I and
Subject: Physics
At. N.T.P. \( 28 ~ g m ~ o f ~ N i t r o g e n ~ o c c u p i e s \)
22.4 liters. What is the mass of 5.6 liters
of nitrogen at \( 38 \mathrm{cm} \) of Hg pressure and
\( 273^{0} \mathrm{C} \) temperature?
This question has multiple correct options
A. \( 7 \mathrm{gm} \)
B. 48 gm
\( c \cdot 1.75 \mathrm{gm} \)
D. 1.5 gm
Subject: Chemistry
The reaction of slaked lime with \( C l_{2} \) gas
gives:
A. only \( C a O C l_{2} \)
B. only \( C a C l_{2} \)
C. a mixture of \( C a(O C l)_{2}, C a(O H)_{2}, C a C l_{2} \) and \( H_{2} O \)
D. quick lime
Subject: Chemistry
(a) Write a test to distinguish between aldehydes and ketones.
(b) How will you prepare benzaldehyde by Etard's reaction?
(c) How will you bring about the following conversions? (Write the chemical equations)
(i) Ethanol \( \rightarrow \) Ethanoic acid
(ii) Benzamide \( \rightarrow \) Benzoic acid
(iii) Benzaldehyde \( \rightarrow \) Meta nitrobenzaldehyde.
Subject: Physics
The point in a Meter bridge is at \( 35.6 \mathrm{cm} . \) If the resistances in the gaps
are interchanged,the new balance point is:
A. \( 64.4 \mathrm{cm} \)
B. \( 56 \mathrm{cm} \)
c. 41.2 ст
D. \( 56.7 \mathrm{cm} \)
Subject: Maths
\( n \stackrel{L t}{\rightarrow} \infty\left\{\frac{1}{2 n+1}+\frac{1}{2 n+2}+\right. \)
\( \left.\frac{1}{2 n+3} \cdots+\frac{1}{2 n+n}\right\} \)
A. \( \log _{e}\left(\frac{1}{3}\right) \)
B. \( \log _{e}\left(\frac{2}{3}\right) \)
c. \( \log _{e}\left(\frac{3}{2}\right) \)
D \( \cdot \log _{e}\left(\frac{4}{3}\right) \)
Subject: Maths
if \( a \neq 6, b, c \) satisfy \( \left|\begin{array}{ccc}a & 2 b & 2 c \\ 3 & b & c \\ 4 & a & b\end{array}\right|=0 \)
then \( a b c= \)
\( \mathbf{A} \cdot a+b+c \)
B.
\( c \cdot b^{3} \)
\( \mathbf{D} \cdot a b+b-c \)
Subject: Physics
If the anti-neutrino had a mass of
\( 3 e V / c^{2}(\text { where } c \) is the speed of light) instead of zero mass, what should be
the range of the kinetic energy, K of the electron?
A \( \cdot 0 \leq K \leq 0.8 \times 10^{6} e V \)
B. \( 3.0 e V \leq K \leq 0.8 \times 10^{6} e V \)
c. \( 3.0 e V \leq K<0.8 \times 10^{6} e V \)
D. \( 0 \leq K<0.8 \times 10^{6} e V \)
Subject: Chemistry
Iqbal treated a lustrous, divalent element M with sodium hydroxide. He observed the formation of bubbles in
reaction mixture. He made the same
observations when this element
was treated with hydrochloric acid. He find that the produced gas is:
A \( . H_{2} \)
в. \( C l_{2} \)
\( c \cdot O_{2} \)
D. None of the above
Subject: Physics
Gravitational force between two point
masses \( m \) and \( M \) separated by a
distance \( r \) is \( F \). now if a point mass \( 3 m \)
is placed very next to \( \mathrm{m} \), the total force
on \( \boldsymbol{M} \) will be
A. \( F \)
в. \( 2 F \)
\( c .3 F \)
D. \( 4 F \)
Subject: Physics
The angle of minimum deviation for a
\( 75^{\circ} \) prism of dense glass is found to be
\( 45^{\circ} \) when in air and \( 15^{\circ} \) when immersed in certain liquid. The refractive index of the liquid is :
A. \( \sqrt{\frac{2}{3}} \)
B. \( \frac{3}{2} \)
c. \( \sqrt{\frac{3}{2}} \)
D. \( \sqrt{3} \)
Subject: Maths
Let \( \mathbf{A}(\mathbf{1}, \mathbf{2}) \) and \( \mathbf{B}(\mathbf{3}, \mathbf{4}) \) be two points.
Let
\( \mathbf{C}(x, y) \) be a point such that \( (x- \)
1) \( (x-3)+(y-2)(y-4)=0 . \) If area
of
\( (\Delta A B C)=1, \) then the maximum
number of positions of
\( \mathbf{C} \) in \( \boldsymbol{x} \boldsymbol{y} \) -plane is
A . 2
B. 4
c. 8
D. None of these
Subject: Chemistry
When water was electrolyzed, hydrogen and oxygen were obtained which were collected and found to be \( 16.8 \mathrm{L} \) at \( S T P \)
Then, weight of water electrolyzed is:
\( \mathbf{A} \cdot 18 \mathrm{gm} \)
B. 36 gm
\( \mathrm{c} \cdot 9 \mathrm{gm} \)
D. \( 45 \mathrm{gm} \)
Subject: Physics
A cube of side \( x \) has a charge \( q \) at each of its vertices. The potential due to this charge array at the centre of the cube is
A \( \cdot \frac{4 q}{3 \pi \varepsilon_{0} x} \)
В. \( \frac{4 q}{\sqrt{3} \pi \varepsilon_{0} x} \)
c. \( \frac{3 q}{4 \pi \varepsilon_{0} x} \)
D. \( \frac{2 q}{\sqrt{3} \pi \varepsilon_{0} x} \)
Subject: Chemistry
In which of the following process
hybridization is not affected?
\( \mathbf{A} \cdot 2 P C l_{5}(s) \stackrel{m e l t}{\longrightarrow} P C l_{4}^{+}+P C l_{6}^{-} \)
B \( \cdot L i H+A l H_{3} \longrightarrow L i A l H_{4} \)
\( \mathbf{C} \cdot \operatorname{Be} F_{2}(g) \frac{\text {hoar frosting}}{ } \operatorname{Be} F_{2}(s) \)
D. \( N H_{3}+H_{2} O \longrightarrow N H_{4} O H \)
Subject: Physics
The range of a clinical thermometer is
A \( \cdot 0-100^{\circ} \mathrm{C} \)
B. 32-214 \( ^{0} \) F
c. \( 0-1273^{\circ} \mathrm{C} \)
D. 35-42 \( ^{0} \mathrm{C} \)
Subject: Physics
Two progressive waves each of
frequency \( 10 H z \) travelling at \( 20 \mathrm{cm} s^{-1} \) are superposed. In the resulting stationary wave, the distance between the successive nodes is
A \( .1 \mathrm{cm} \)
B. \( 2 \mathrm{cm} \)
c. \( 0.5 \mathrm{cm} \)
D. 0
Subject: Physics
Two springs \( P \) and \( Q \) of force constant \( k_{p} \) and \( k_{Q}\left(k_{Q}=\frac{k_{p}}{2}\right) \) are stretched by applying forces of equal magnitude. If the energy stored in \( Q \) is \( E \), then the energy stored in P is?
A . E/2
B. 2E
c.
D. E/4
Subject: Maths
The set of all points where the function \( \mathbf{f}(\mathbf{x})=\sqrt{\mathbf{1}-\mathbf{e}^{-\mathbf{x}^{2}}} \) is differentiable is
A. \( (0, \infty) \)
)
B \( \cdot(-\infty, \infty) \)
c. \( (-\infty, \infty)-\{0\} \)
D. \( (-1, \infty) \)
Subject: Physics
Q Type your question
capacitor is \( 6 m F \) and is decreasing at
the constant rate \( 0.5 m F s^{-1} . \) The
potential difference across the
capacitor at the shown moment is changing as follows \( \frac{\boldsymbol{d} \boldsymbol{V}}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{2} \boldsymbol{V} \boldsymbol{s}^{-1} \)
\( \frac{\boldsymbol{d}^{2} \boldsymbol{V}}{\boldsymbol{d t}^{2}}=\frac{1}{2} \boldsymbol{V} \boldsymbol{s}^{-2} \) and the current in the
\( 4 \Omega \) resistor is decreasing at the rate of
\( 1 m A s^{-1} . \) What is the potential
difference (in \( m V) \) across the inductor
at this moment?
\( A \cdot 4 \)
B. 3
\( c \cdot 8 \)
\( D \)
Subject: Chemistry
Which of the following is the source of
\( \boldsymbol{S} \boldsymbol{O}_{\boldsymbol{x}} \) pollution?
A) Volcanoes
B) Fossil fuel
C) Thermal power plant
\( A \cdot A \& B \)
B. B \& \( c \)
\( c \cdot c \& A \)
D. \( A, B \& C \)
Subject: Chemistry
\( \left[\boldsymbol{P T B r} \boldsymbol{C l}\left(\boldsymbol{N O}_{2}\right)\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)\right] \boldsymbol{I} \) complex on
ionization gives the ion?
A \( \cdot C l^{-} \)
B. \( B r \)
\( c \cdot I^{-} \)
D. \( N O_{2}^{-} \)
Subject: Physics
The given table shows the rank of three different minerals on the scale of
hardness.
\begin{tabular}{ll} 
Mineral & Rank of hardness \\
\( \mathrm{x} \) & 5 \\
\( \mathrm{Y} \) & 3 \\
\hline
\end{tabular} \( z \) Based on the data, which of the
following results of scratch test will be
obtained?
\( A \)
\( =\sqrt{12} \)
в. \( =\sqrt{10} \)
\( c \)
\( =\sqrt{1-x} \)
D. \( =\sqrt{13} \)
Subject: Chemistry
Amphoteric hydroxides react with both alkalies and acids.Which of the
following group 2 metal hydroxides is soluble in sodium hydroxide?
\( \mathbf{A} \cdot B e(O H)_{2} \)
в. \( R a(O H)_{2} \)
\( \mathbf{c} \cdot C a(O H)_{2} \)
D. \( B a(O H)_{2} \)
Subject: Physics
Work done in carrying an electric
charge \( Q_{1} \) once round a circle of radius
\( R \) with a charge \( Q_{2} \) at the centre of the circle:
A. \( \frac{Q_{1} Q_{2}}{4 \pi \varepsilon_{\Omega} R} \)
B. \( \infty \)
c. \( \frac{Q_{1} Q_{2}}{4 \pi \varepsilon_{0} R^{2}} \)
D.
Subject: Chemistry
\( \boldsymbol{A} \stackrel{P h-S O_{2} C l}{\longrightarrow} \boldsymbol{B} \stackrel{\boldsymbol{K O H}}{\longrightarrow} \boldsymbol{C} \stackrel{C_{2} \boldsymbol{H}_{5} \boldsymbol{I}}{\longrightarrow} \boldsymbol{D} \)
'C' is water soluble.
Correct structure of \( A \) and \( D \) are?
A \( . R-N H_{2}, P h-S O_{2}-N(R)-\left(C_{2} H_{5}\right)_{2}+I^{-} \)
B. \( R-N H-R, P h-S O_{2}-N R_{2}-C_{2} H_{5} \)
c. \( R-N H_{2}, P h-S O_{2}-N R-I \)
D. \( R_{2} N H, P h-S O_{2}-N R_{2}-\left(C_{2} H_{5}\right)^{+} I^{-} \)