AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Arrange the following.
(i) \( C a H_{2}, B e H_{2} \) and \( T i H_{2} \) in order of
increasing electrical conductance.
(ii) \( L i H, N a H \) and \( C s H \) in order of increasing ionic character.
(iii) \( \boldsymbol{H}-\boldsymbol{H}, \boldsymbol{D}-\boldsymbol{D} \) and \( \boldsymbol{F}-\boldsymbol{F} \) in order
of increasing bond dissociation
enthalpy.
(iv) \( N a H, M g H_{2} \) and \( H_{2} O \) in order of increasing reducing property.
Subject: Physics
A particle performs S.H.M of amplitude A along a straight line. When it is at a
distance \( \frac{\sqrt{3}}{2} A \) from mean position, its kinetic energy gets increased by an amount \( \frac{1}{2} m \omega^{2} A^{2} \) due to an impulsive force. Then its new amplitude becomes.
A. \( \frac{\sqrt{5}}{2} \)
B. \( \frac{\sqrt{3}}{2} \) A
c. \( \sqrt{2} \mathrm{A} \)
D. \( \sqrt{5} \mathrm{A} \)
Subject: Physics
From the following equations, pick out
the possible nuclear fusion reaction
This question has multiple correct options
\( \mathbf{A} \cdot_{6} C^{13}+_{1} H^{1} \rightarrow_{6} C^{14}+4.3 M e V \)
\( \mathbf{B} \cdot_{6} C^{12}+_{1} H^{1} \rightarrow_{7} C^{13}+2 M e V \)
\( \mathbf{C} \cdot_{7} C^{14}+_{1} H^{1} \rightarrow_{8} O^{15}+7.3 M e V \)
\( \mathbf{D} \cdot_{92} U^{235}+_{0} n^{1} \rightarrow_{54} X e^{104}+_{38} X r^{94}+_{0} n^{1}+_{0} n^{1}+y+ \)
\( 200 M e V \)
Subject: Physics
The absolute temperature of a body \( A \) is
four times that of another body \( B \). For two bodies, the difference in wave
lengths at which energy radiated is maximum is \( 3.0 \mu \) m. Then
the wavelength at which the body \( B \) radiates maximum energy in micrometre is :
A .2
B . 2.
c. 4.0
D. 4.5
Subject: Maths
The plane \( a x+b y+c z+d=0 \) divides
the line joining \( \left(x_{1}, y_{1}, z_{1}\right) \) and
\( \left(x_{2}, y_{2}, z_{2}\right) \) in the ratio
A. \( -\frac{a x_{1}+b y_{1}+c z_{1}+d}{a x_{2}+b y_{2}+c z_{2}+d} \)
B. \( -\frac{a x_{1} \times a x_{2}+b y_{1} \times b y_{2}+c z_{1} \times c z_{2}+d^{2}}{a x_{2}+b y_{2}+c z_{2}+d} \)
c. \( -\frac{a+b+c+d}{x_{1}+x_{2}+y_{1}+y_{2}+z_{1}+z_{2}} \)
D \( \cdot \frac{a x_{1}^{2}+b y_{1}^{2}+c z_{1}^{2}+d}{a x_{2}^{2}+b y_{2}^{2}+c z_{2}^{2}+d} \)
Subject: Chemistry
In solid state \( N_{2} O_{5} \) exists as:
\( \mathbf{A} \cdot\left[N O_{3}\right]^{-}\left[N O_{2}\right]^{+} \)
в. \( \left.\left[N O_{2}\right]^{-} N O_{3}\right]^{+} \)
c. \( \left.N_{2} O_{4}\right]^{2+} O^{2-} \)
D. \( \left[N O_{3}\right]\left[N O_{2}\right] \)
Subject: Maths
If \( f(x)=2 x-1, \) if \( x>1 ;=x^{2}+1, \) if
\( -1 \leq x \leq 1, \) then
\( \frac{f(1)+f(3)+f(0)}{f(2)+f(-1)+f\left(\frac{1}{2}\right)} \) is?
A \( \cdot \frac{32}{5} \)
в. \( \frac{32}{25} \)
c. \( \frac{5}{32} \)
D. \( \frac{25}{32} \)
Subject: Physics
Let a beam of wavelength \( \lambda \) fall on
parallel reflecting planes with
separation \( d \), then the angle \( \theta \) that the
beam should make with the planes so that reflected beams from successive
planes may interfere constructive
should be (where, \( \boldsymbol{n}=\mathbf{1}, \mathbf{2}, \dots . .) \)
\( ^{\text {A }} \cdot \cos ^{-1}\left(\frac{n \lambda}{2 d}\right) \)
B \( \cdot \sin ^{-1}\left(\frac{n \lambda}{2 d}\right) \)
\( ^{\mathbf{c}} \cdot \sin ^{-1}\left(\frac{n \lambda}{d}\right) \)
D. \( \tan ^{-1}\left(\frac{n \lambda}{d}\right) \)
Subject: Chemistry
Solubility of \( M X_{2} \) type electrolytes is
\( 0.5 \times 10^{-4} \) mole/lit. Then find out \( K_{s p} \) of
electrolytes.
В. \( 25 \times 10^{-10} \)
c. \( 1.25 \times 10^{-13} \)
D. \( 5 \times 10^{-13} \)
Subject: Maths
What are the values of \( x \) that satisfy the
equation \( \left|\begin{array}{ccc}\boldsymbol{x} & \mathbf{0} & \mathbf{2} \\ \mathbf{2} \boldsymbol{x} & \mathbf{2} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right|+\left|\begin{array}{ccc}\mathbf{3} \boldsymbol{x} & \mathbf{0} & \mathbf{2} \\ \boldsymbol{x}^{\mathbf{2}} & \boldsymbol{2} & \mathbf{1} \\ \mathbf{0} & \boldsymbol{1} & \mathbf{1}\end{array}\right|=\mathbf{0} ? \)
B. \( -1 \pm \sqrt{3} \)
c. \( -1 \pm \sqrt{6} \)
\( \mathbf{D} \cdot-2 \pm \sqrt{6} \)
Subject: Physics
A cord is used to lower vertically a block
of mass \( M, \) through a distance \( d \) at a constant downward acceleration of \( \frac{g}{8} \) Then the work done by the cord on the block is
A. \( \frac{M g d}{8} \)
в. \( \frac{3 M g d}{8} \)
c. \( M g d \)
D. \( \frac{-7 M g d}{8} \)
Subject: Chemistry
Arrange the following in increasing
order of oxidation state of \( N i \)
\( \boldsymbol{K}_{2}\left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{N})_{4}\right], \boldsymbol{K}_{2}\left[\boldsymbol{N} \boldsymbol{i} \boldsymbol{F}_{6}\right], \boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{O})_{4} \)
A \( \cdot N i(C O)_{4}, K_{2}\left[N i(C N)_{4}\right], K_{2}\left[N i F_{6}\right] \)
B . \( K_{2}\left[N i(C N)_{4}\right], N i(C O)_{4}, K_{2}\left[N i F_{6}\right] \)
c. \( N i(C O)_{4}, K_{2}\left[N i F_{6}\right], K_{2}\left[N i(C N)_{4}\right] \)
D. \( K_{2}\left[N i F_{6}\right], K_{2}\left[N i(C N)_{4}\right], K_{2}\left[N i(C N)_{4}\right]^{\prime} \)
Subject: Chemistry
A sulphate of a metal (A) on heating evolves two gases \( (\mathrm{B}) \) and \( (\mathrm{C}) \) and an
oxide (D). Gas
(B) turns \( K_{2} C r_{2} O_{7} \) paper green while gas (C) forms a trimer in which there is no S-S bond.
Compound (D) with conc. HCl forms a Lewis acid
(E) which exists in a dimer. Compounds \( (A),(B),(C),(D) \) and \( (E) \) are respectively:
A. \( F e S O_{4}, S O_{2}, S O_{3}, F e_{2} O_{3}, F e C l_{3} \)
в. \( A l_{2}\left(S O_{4}\right)_{3}, S O_{2}, S O_{3}, A l_{2} O_{3}, F e C l_{3} \)
c. FeS\( , S O_{2}, S O_{3}, F e S O_{4}, F e C l_{3} \)
D. FeS, \( S O_{2}, S O_{3}, F e_{2}\left(P O_{4}\right)_{3}, F e C l_{2} \)
Subject: Physics
The length of a potentiometer wire is \( l . \) A
cell of emf \( \boldsymbol{E} \) is balanced at a length \( \boldsymbol{l} / \mathbf{3} \)
from the positive end of the wire. If the length of the wire is increased by \( l / 2 . \) At
what distance will the same cell give a balance point?
A \( \frac{2 l}{3} \)
B. \( \frac{l}{2} \)
\( c \cdot \frac{l}{6} \)
D. \( \frac{4 l}{3} \)
Subject: Maths
The direction cosines of a line parallel to the planes \( 3 x+4 y+z=0 \) and \( x- \)
\( 2 y-3 z=5 \) are
\( \mathbf{A} \cdot(-1,1,-1) \)
B \( \cdot\left(-\frac{1}{\sqrt{3}},-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right) \)
\( ^{\mathbf{c}} \cdot\left(-\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{-1}{\sqrt{3}}\right) \)
D. no line possible
Subject: Physics
Two marks on a glass rod \( 10 \mathrm{cm} \) apart are found to increase their distance by
\( 0.08 \mathrm{mm} \) when the rod is heated from \( 0^{\circ} \)
\( \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \). A flask made of the same
glass as that of rod measures a volume
of \( 1000 \mathrm{cc} \) at \( 0^{\circ} \mathrm{C} \). The volume it
measures at \( 100^{\circ} \mathrm{C} \) in cc is
A . 1002.4
B. 1004.2
c. 1006.4
D. 1008.2
Subject: Physics
Two identical balls collide head on. The
initial velocity of one is \( 0.75 \mathrm{cm}^{-1} \). While
that of the other is \( -0.43 \mathrm{ms}^{-1} \). If the
collision is perfectly elastic. Their respective final velocities are
A \( .0 .75 \mathrm{ms}^{-1},-0.43 \mathrm{ms}^{-1} \)
B. \( -0.43 \mathrm{ms}^{-1}, 0.75 \mathrm{ms}^{-1} \)
c. \( -0.75 \mathrm{ms}^{-1}, 0.43 \mathrm{ms}^{-1} \)
D. \( 0.43 \mathrm{ms}^{-1}, 0.75 \mathrm{ms}^{-1} \)
Subject: Maths
A closed water tank has internal size of
\( 10 m \times 15 m \times 20 m . \) It needs to be lined
with waterproofing cement on all its internal side. At the rate of Rs.
250 per \( m^{2}, \) the total cost of lining will
be Rs.
A. 237,500
0
в. 325,000
c. 400,000
D. 475,000
Subject: Maths
Let \( S_{n} \) denote the sum of first \( n \) terms
of an \( A P, \) If \( S_{2 n}=3 S_{n} \) then find the
ratio \( \boldsymbol{S}_{\boldsymbol{3} \boldsymbol{n}} / \boldsymbol{S}_{\boldsymbol{n}} \)
Subject: Physics
Three concurrent coplanar forces \( 1 \mathrm{N}, 2 \) N and 3 N acting along different directions on a body:
A. Can keep the body in equilibrium if 2 N and 3 N act at right angle
B. Can keep the body in equilibrium if \( 1 \mathrm{N} \) and \( 2 \mathrm{N} \) act at right angle
c. cannot keep the body in equilibrium
D. Can keep the body in equilibrium in \( 1 \mathrm{N} \) and \( 3 \mathrm{N} \) act at an acute angle
Subject: Maths
The \( r^{t h}, s^{t h} \) and \( t^{t h} \) terms of a certain
\( G . P \) are
\( R, S \) and \( T \) respectively. Prove that
\( \boldsymbol{R}^{s-t} \boldsymbol{S}^{t-r} \boldsymbol{T}^{r-s}=\mathbf{1} \)
Subject: Physics
The Vanderwaal's equation for a gas is \( \left(p+\frac{a}{V^{2}}\right)(V-b)=n R T, \) where \( P, v \)
R, \( T \) and \( n \) represent the pressure, volume, universal gas constant, absolute temperature, and number of moles of a gas respectively and 'a' and 'b' are constants. The ratio \( \frac{b}{a} \) will have the following dimensional formula:
\( \mathbf{A} \cdot M^{-1} L^{-2} T^{2} \)
В. \( M^{1} L^{-1} T^{-1} \)
c. \( M L^{2} T^{2} \)
D. \( M L T^{-2} \)
Subject: Chemistry
When 45 gm of a solute is added to 900 \( \mathrm{gm} \) of water, its vapour pressure decreased from \( 30 \mathrm{mm} \) to \( 24 \mathrm{mm} \). The
mole fraction of the solvent in the
solution is :
A . 0.2
B. 0.8
\( c .0 . \)
D. 0.9
Subject: Physics
A circular coil of one turn in formed by a \( 6.28 \mathrm{m} \) length wire, which carries a current of 3.14 A. the magnetic field at the center of coil is :-
A \( \cdot 1 \times 10^{-6} T \)
В. \( 4 \times 10^{-6} T \)
c. \( 0.5 \times 10^{-6} T \)
D. \( 2 \times 10^{-6} T \)
Subject: Chemistry
Assertion
Alkenes usually undergo electrophilic addition reaction at carbon-carbon
double bond.
Reason
Electrophilic addition at double bond produces carbocation intermediate.
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
Which of the following statements are
correct?
This question has multiple correct options
A. The process of producing a hard coating of iron nitride on the surface of steel is called nitriding.
B. The process of producing a thin coating of iron carbide on the surface of mild steel is called case hardening.
C. Quenched steel is produced by healing steel to redness and allowing it to cool slowly.
D. Stainless steel is produced by heating wrought iron in molten chromium,
Subject: Chemistry
Which of the following statements is
correct?
A. The maximum number of unpaired electrons in a subshell is equal to \( 2 l+1 \)
B. The maximum value of magnetic moment for an atom with \( l=2 \) subshell is 3.9
C. The total spin of \( 3 d^{6} \) configuration is 3
D. Both A and B
Subject: Physics
Calculate the torque \( N \) twisting a stee tube of length \( l=3.0 m \) through an
angle \( \varphi=2.0^{\circ} \) about its axis, if the
inside and outside diameters of the
tube are equal to \( d_{1}=30 m m \) and
\( \boldsymbol{d}_{2}=\mathbf{5 0} \boldsymbol{m} \boldsymbol{m} \)
Subject: Maths
The reflection of the point \( \boldsymbol{P}(1,0,0) \) in the line \( \frac{\boldsymbol{x}-\mathbf{1}}{\mathbf{2}}=\frac{\boldsymbol{y}+\mathbf{1}}{\mathbf{- 3}}=\frac{\boldsymbol{z}+\mathbf{1 0}}{\mathbf{8}} \) is
A \( \cdot(3,-4,-2) \)
B \( \cdot(5,-8,-4) \)
c. (1,-1,-10)
D. (2,-3,8)
Subject: Physics
The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to \( 30,000 c c \) at sea level (pressure 1 atmosphere,
temperature \( 27^{\circ} \mathrm{C} \) ). Assume that the
temperature around Mount Everest is -
\( 73^{\circ} \mathrm{C} \) and that the oxygen cylinder has a capacity of 5.2 litters. The pressure at which oxygen be filled (at site) in the cylinder is
A. 3.86 atm
B. 5.00 atm
c. 5.77 atm
D. 1 atm
Subject: Maths
\( \left|\begin{array}{ccc}\boldsymbol{a}+\boldsymbol{x} & \boldsymbol{a}-\boldsymbol{x} & \boldsymbol{a}-\boldsymbol{x} \\ \boldsymbol{a}-\boldsymbol{x} & \boldsymbol{a}+\boldsymbol{x} & \boldsymbol{a}-\boldsymbol{x} \\ \boldsymbol{a}-\boldsymbol{x} & \boldsymbol{a}-\boldsymbol{x} & \boldsymbol{a}+\boldsymbol{x}\end{array}\right|=\mathbf{0} \) then
the non-zero value of \( x=\dots \)
\( A \)
B. \( 3 a \)
\( c .2 a \)
D. \( 4 a \)
Subject: Physics
The minimum phase difference between two SHM's is:
\( \boldsymbol{y}_{1}=\sin \left(\frac{\boldsymbol{\pi}}{\boldsymbol{6}}\right) \sin (\boldsymbol{\omega} \boldsymbol{t})+\sin \left(\frac{\boldsymbol{\pi}}{\mathbf{3}}\right) \cos (\boldsymbol{\omega} \boldsymbol{t}) \)
\( \boldsymbol{y}_{2}=\cos \left(\frac{\pi}{6}\right) \sin (\omega t)+\sin \left(\frac{\pi}{3}\right) \cos (\omega t) \)
is:
A \( \cdot \frac{\pi}{3} \)
в. \( \frac{\pi}{6} \)
c. \( \frac{\pi}{12} \)
D.
Subject: Physics
A thin plane membrane separates
hydrogen at \( 27^{\circ} \mathrm{C} \) from hydrogen at \( 127^{\circ} \)
C, both being at the same pressure. A plane sound wave enters from the cooler to the hotter side. If the angle of
incidence on the membrane is \( 30^{\circ} \mathrm{C} \)
then the angle of refraction is
\( ^{A} \cdot \sin ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
B. \( \sin ^{-1}\left(\frac{2}{\sqrt{8}}\right) \)
\( c \cdot \sin ^{-1}\left(\frac{3}{\sqrt{8}}\right) \)
D. \( \sin ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
Subject: Physics
A wave is represented by the equation \( \boldsymbol{y}=\boldsymbol{A} \sin (\mathbf{1 0} \boldsymbol{\pi} \boldsymbol{x}+\mathbf{1 5} \boldsymbol{\pi} \boldsymbol{t}+\boldsymbol{\pi} / \mathbf{3}), \) where
\( x \) is in metres and \( t \) is in seconds. What
is the wavelength of this wave travelling in the positive x-direction?
A. \( 0.5 m \)
в. \( 0.2 m \)
c. \( 0.25 m \)
D. \( 0.75 m \)
Subject: Maths
If the vectors \( \vec{a}, \vec{b}, \vec{c} \) are coplanar, then the value of \( \left|\begin{array}{ccc}\overrightarrow{\boldsymbol{a}} & \overrightarrow{\boldsymbol{b}} & \overrightarrow{\boldsymbol{c}} \\ \overrightarrow{\boldsymbol{a}} \cdot \overrightarrow{\boldsymbol{a}} & \overrightarrow{\boldsymbol{a}} \cdot \overrightarrow{\boldsymbol{b}} & \overrightarrow{\boldsymbol{a}} \cdot \overrightarrow{\boldsymbol{c}} \\ \overrightarrow{\boldsymbol{b}} \cdot \overrightarrow{\boldsymbol{a}} & \overrightarrow{\boldsymbol{b}} \cdot \overrightarrow{\boldsymbol{b}} & \overrightarrow{\boldsymbol{b}} \cdot \overrightarrow{\boldsymbol{c}}\end{array}\right|= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B.
\( c \cdot-1 \)
D. \( \vec{a}+\vec{b}+\vec{c} \)
Subject: Maths
The value of the determinant
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{\omega}^{\mathbf{3}} & \boldsymbol{\omega}^{5} \\ \boldsymbol{\omega}^{\mathbf{3}} & \mathbf{1} & \boldsymbol{\omega}^{4} \\ \boldsymbol{\omega}^{\boldsymbol{5}} & \boldsymbol{\omega}^{\boldsymbol{4}} & \mathbf{1}\end{array}\right|, \) where \( \boldsymbol{\omega} \) is an imaginary
cube root of unity,is
A \( \cdot(1-\omega)^{2} \)
B. 3
\( c \cdot-3 \)
D. none of these
Subject: Physics
Consider the following two statements:
1) Kirchoff's junction law follows from
the conservation of charge
2) Kirchoff's loop law follows from the conservation of energy. Which of the following is correct?
A. both 1 and 2 are wrong
B. 1 is correct and 2 is wrong
C. 1 is wrong and 2 is correct
D. both 1 and 2 are correct
Subject: Physics
A steel plate of thickness \( h \) has the
shape of a square whose side equals \( l \)
with \( h \ll l . \) The plate is rigidly fixed to a
vertical axle \( O O \) which is rotated with a
constant angular acceleration \( \boldsymbol{\beta} \) (figure
shown above). Find the deflection \( \lambda \)
assuming the sagging to be small.
A \( \cdot \lambda=\frac{9 \rho \beta l^{5}}{5 E h^{2}} \)
B. \( \lambda=\frac{7 \rho \beta l^{5}}{3 E h^{2}} \)
c. \( \lambda=\frac{7 \rho \beta l^{5}}{5 E h^{2}} \)
D. None of these
Subject: Chemistry
In Thomson's model of the atom, which
of the following statements are correct?
(i) The mass of the atom is assumed to
be uniformly distributed over the atom.
(ii) The positive charge is assumed to be uniformly distributed over the atom.
(iii) The electrons are uniformly distributed in the positively charged
sphere
(iv) The electrons attract each other to
stabilize the atom.
A. (i), (ii) and (iii)
B. (i) and (iii)
c. (i) and (iv)
D. (i), (iii) and (iv)
Subject: Maths
Which of the following is/are true regarding the following linear equation:
\( \frac{\boldsymbol{x}-\mathbf{1}}{\mathbf{3}}-\frac{\boldsymbol{y}+\mathbf{2}}{\mathbf{2}}=\mathbf{0} \)
A \( \cdot \) It passes through \( \left(0,-\frac{2}{3}\right) \) and \( m=\frac{8}{3} \)
B. It passes through \( \left(0, \frac{8}{3}\right) \) and \( m=-\frac{2}{3} \)
c. \( _{\text {It passes through }}\left(0,-\frac{8}{3}\right) \) and \( m=\frac{2}{3} \)
D . It passes through \( \left(0,-\frac{2}{3}\right) \) and \( m=-\frac{8}{3} \)
Subject: Physics
A thin plano convex lens of focal length
\( f, \) is split into two halves. One of the halves is shifted along the principal
axis as shown. The separation between
an object placed on the axis and its
image is \( 1.8 m \)
The magnification of the image formed
by one of the half lenses is 2 . Find the
focal length of the combination and the separation between the two halves.
\( A \cdot 0.4 m \)
B. \( 0.5 \mathrm{m} \)
c. \( 0.6 \mathrm{m} \)
D. \( 0.7 \mathrm{m} \)
Subject: Chemistry
Which of the following structures is not correctly matched?
\( A \)
\( H_{3} \)
\( \alpha \) - Methoxypropionaldehyde \( -H_{3} C-C H-C-H \)
в. 3-Hydroxybutanal - \( C H_{3}-C H-C H_{2} C H O \)
\( c \)
4 - Oxopentanal \( -C H_{3} C H_{2} C H_{2}-C_{-} C H O \)
D. Di-sec. -butylketone - \( C H_{3} C H_{2}-C H-C-C H \)
\( C H_{2} C H_{3} \)
Subject: Chemistry
A biochemical reaction triggers the expansion of 2.5 mol of an ideal gas
reversibly, coming to rest an equalized
pressure of \( 58 k P a \) at \( 37^{\circ} C . \) If the initial volume was 55.5 litres, then the
work that is done by the system in this process was approximate:
A . \( 4466 \mathrm{J} \)
в. \( -4466 J \)
c. \( -40030 J \)
D. 3600 J
Subject: Maths
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:
The sum of the digits of a two-dlgit number is \( 9 . \) Also, nine times this
number is twice the number obtained
by reversing the order of the digits. Find
the number
A. Number is 18
B. Number is 36
c. Number is 81
D. None of these
Subject: Maths
The portion of a line intercepted between the coordinate axes is divided by the point (2,-1) in the ration \( 3: 2 . \) The
equation of the line is :
A. \( 5 x-2 y-20=0 \)
В. \( 2 x-y+7=0 \)
c. \( x-3 y-5=0 \)
D. \( 2 x y+y-4=0 \)
Subject: Physics
Assertion
The value of acceleration due to gravity
does not depend upon mass of the body
Reason
Acceleration due to gravity is a constant quantity
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
There are 42 hemispherical bowls, each
of radius \( 3.5 \mathrm{cm} \). Find the quantity of water in litres which is just sufficient to
fill these 42 bowls. (Take \( \pi=\frac{22}{7} \) )
A . 3.773 litres
B. 3.553 litres
c. 3.223 litres
D. 4.773 litres
Subject: Physics
An athlete with \( 3 \mathrm{m} \) long iron rod in hand runs towards east with a speed of 30 kmph. The horizontal component of earth's magnetic field is \( 4 \times \)
\( 10^{-5} W b / m^{2} . \) If he runs with the rod in
horizontal and vertical positions then the induced emf generated in the rod in two cases will be
A. zero in vertical position and volt in horizonta
position.
B. 1 \( \times 10 \) volt in vertical position and zero volt in in horizontal position
c. zero in both positions
D. \( 1 \times 10^{-3} \) volt in both positions
Subject: Physics
Match the columns
\( \begin{array}{ll}\boldsymbol{A} & \boldsymbol{B} \\ \text { (1) Stars } & \text { (a) Pollution free } \\ \text { (2) Objects in the sky } & \text { (b) Do not twinkle } \\ \text { (3) Planets } & \text { (c) Twinkling bodies } \\ \text { (4) Clearsky } & \text { (d) Celestial bodies }\end{array} \)
A. \( 1-c, 2-d, 3-b, 4-a \)
B. \( 1-d, 2-a, 3-c, 4-b \)
C. \( 1-b, 2-c, 3-a, 4-d \)
D. \( 1-c, 2-a, 3-d, 4-b \)
Subject: Physics
A ball of mass 100 g moving with a speed of \( 4 \mathrm{m} / \mathrm{sec} \) strikes a horizontal
surface at an angle of \( 30^{\circ} \) from the
surface. The ball is reflected back with
same speed and same angle of reflection find
(a) The impulse imparted to the ball
(b) change in magnitude of momentum of the ball.
Subject: Physics
When an eraser presses on a paper with a force of \( 1 \mathrm{N} \) the paper experiences a pressure of 10,000 Pa Find the area of
contact between the eraser and the
paper
A \( \cdot 1 c m^{3} \)
в. \( 10 \mathrm{cm}^{2} \)
\( c \cdot 1 c m^{6} \)
D. \( 1 c m^{2} \)
Subject: Physics
A particle of mass \( \mathrm{M} \) is placed at origin
and a small mass \( \mathrm{m} \) is placed at \( \mathrm{A}, \) at a distance of \( r \) from M. A force F is applied
to \( m \) to make it move from \( A \) to a nearby point B. When the force becomes zero, it
is observed that the mass m moves
from B back to A. This is due to the
reason
A. Potential of B is larger than potential of A
B. objects starts moving in gravitational field until constant potential difference exist
c. The line B to A is equipotential surface
D. The mass moves from B to A, since A is nearer to origir
Subject: Chemistry
Assertion: A negative catalyst retards
the rate of chemical reaction.

Reason: Presence of negative catalyst boosted up the energy of activation.
A. Assertion is correct but Reason is wrong
B. Assertion is wrong but Reason is correct
c. Both Assertion and explanation are correct and Reason is correct explanation of Assertion
D. Both Assertion and explanation are correct but Reasor is not correct explanation of Assertion
Subject: Chemistry
Consider the following statements regarding chemical equilibrium:
(1) For the gaseous reaction, the equilibrium can be established in open vessel.
(2) The state of equilibrium is dynamic
in nature.
(3) If the temperature is kept constant,
the colour of the reacting system changes with time. Which of the statements given above is /are correct?
\( A \)
B. 2
c. 3 only
D. 2 and 3 only
Subject: Maths
Two points \( (a, 3) \) and \( (5, b) \) are the opposite vertices of a rectangle. If the other two vertices lie on the line \( y= \)
\( 2 x+c \) which also passes through the
point \( (\boldsymbol{a} / \boldsymbol{c}, \boldsymbol{b} / \boldsymbol{c}) \) then what is the value
of c?
This question has multiple correct options
A \( \cdot 2 \sqrt{2}+1 \)
B. \( 2 \sqrt{2}-1 \)
c. \( 1-2 \sqrt{2} \)
D. \( -1-2 \sqrt{2} \)
Subject: Maths
I: The roots of \( a(b-c) x^{2}+b(c-a) x+ \)
\( c(a-b)=0 \) are real and equal, then
\( a, b, c \) are in G.P.
II: The number of solutions of \( \mid x^{2}- \) \( 2 x+2 \mid=3 x-2 \) is 4
Which of the above statement(s) is/are
true?
A. only।
B. only II
c. both I and II
D. neither I nor II
Subject: Chemistry
If \( E_{e}, E_{\alpha} \) and \( E_{p} \) represents the kinetic energies of an electron, alpha particle and a proton respectively, each moving with same de Broglie wavelength, then:
A \( \cdot E_{e}=E_{\alpha}=E_{p} \)
В . \( E_{e}>E_{p}>E_{\alpha} \)
c. \( E_{\alpha}>E_{p}>E_{e} \)
D. \( E_{e}=E_{p}=E_{\alpha} \)
Subject: Maths
Factorise \( \$ \$ 5 x^{\wedge} 2 y-15 x y^{\wedge} 2 \$ \)
A \( .2 x y(2 x-15 y) \)
в. \( 5 y(x-15 y) \)
c. \( 5 x y(x-3 y) \)
D. \( x y(5 x-3 y) \)
Subject: Maths
Quadrilateral JUMP
\( J U=3.5 \mathrm{cm} \)
\( \mathrm{UM}=4 \mathrm{cm} \)
\( \mathrm{MP}=5 \mathrm{cm} \)
\( P J=4.5 \mathrm{cm} \)
\( P U=6.5 \mathrm{cm} \)
Subject: Maths
Suppose \( n \) is a natural number such that \( \left|i+2 i^{2}+3 i^{3}+\ldots+n i^{n}\right|=18 \sqrt{2} \)
where \( i \) is the square root of \( -1 . \) Then \( n \)
is.
\( \mathbf{A} \cdot \mathbf{9} \)
B. 18
\( c \cdot 36 \)
D. 72