AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If a wire is bent into the shape of a
square, then the area of the square is \( 81 \mathrm{cm}^{2} . \) When the same wire is bent
into a semi-circular shape, then the
area of the semi circle will be
\( \mathbf{A} \cdot 22 \mathrm{cm}^{2} \)
B. \( 44 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 77 \mathrm{cm}^{2} \)
D. \( 154 \mathrm{cm}^{2} \)
Subject: Physics
How much heat energy in joules must be supplied to 14 gms of nitrogen at
room temperature to rise its
temperature by \( 40^{\circ} \mathrm{C} \) at constant
pressure? (Mol.wt.of \( \left.N_{2}=28 g m, R=c o n s t a n t\right) \)
A \( .50 R \)
в. \( 60 R \)
\( c .70 R \)
D. \( 80 R \)
Subject: Chemistry
Assertion
Transition metals are efficient
catalysts.
Reason Transition metals usually contain incomplete d-orbitals and provide larger
surface area for adsorption.
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
Hydrogen atom in ground state takes
up a photon of \( \lambda=50 \) nm (uv light)
Find the \( K E \) with which it is emitted.
A . \( 14.4 e V \)
B. \( 12.2 e V \)
c. \( 13.6 e V \)
D. \( 11.2 e V \)
Subject: Chemistry
Soaps are sodium salts of fatty acids,
RCOONa; e.g. \( C_{17} H_{35} C O O^{-} N a^{+} . \) It
gives an insoluble precipitate / layer with
A \( \cdot C a^{2+}( \) aq)
B. \( M g^{2+}(\text { aq }) \)
c. HCI (aq)
D. All of these
Subject: Chemistry
Q Type your question-
11a a poriviacu cauruuc anu containing air at very low pressure of
about \( 0.001 \mathrm{mm} \) of mercury, a faint red glow is observed behind the cathode.
What were the conclusions of this
experiment?
. Anode rays are positively charged.
ii. since these rays are formed at the
anode, they are known as anode rays.
iii. The experiment led to the discovery
of electrons
¡v. The experiment led to the discovery of protons.
tube
\( A \). i, ii and iii
B. ii, iii and iv
c. i, ii and iv
D. i, iii and
Subject: Chemistry
Calculate the pH of a buffer prepared by mixing 300 cc of \( 0.3 \mathrm{M} N H_{3} \) and \( 500 \mathrm{cc} \)
of \( 0.5 \mathrm{M} N H_{4} C l . K_{b} \) for \( N H_{3}=1.8 \times \)
\( 10^{-5} \)
A . 8.1187
B. 9.8117
c. 8.8117
D. None of these
Subject: Chemistry
Which of the following reactions will
give \( \alpha- \) hydroxy acid as a product?
\( \mathbf{A} \cdot C H_{3}-C H O \frac{(i) N a C N / H C l}{(i i) H_{2} O / H^{\oplus} / \Delta} \)
в. \( C H_{3}-C H O+B r-C H_{2}- \)
\( \operatorname{COOC}_{2} H_{5} \frac{(i) Z_{n}}{(i i) N H_{4} C l / H O H} \)
\( (i i i) H O H / H^{\oplus} / \Delta \)
c. \( C H_{3}- \) COOH \( \stackrel{\text { NaOH } / \text { НОН }}{\longrightarrow} \)
D. All of these
Subject: Chemistry
Which of the following statements is
incorrect?
A. Alum is a double salt.
B. EDTA salt of calcium is used in the treatment of leadd poisioning.
C. Effective atomic number of the metals in complexes \( \left[N i(C O)_{4}\right] \) and \( \left[F e(C N)_{6}\right]^{4-} \) is same
D. Chloridotris (triphenyl phosphine) rhodium(l) is effective heterogeneous catalyst for hydrogenation of alkenes.
Subject: Maths
Find the locus of the point of intersection of the lines \( \sqrt{3} x-y- \) \( 4 \sqrt{3} \lambda=0 \) and \( \sqrt{3} \lambda x+\lambda y-4 \sqrt{3}=0 \)
for different values of \( \lambda \)
A \( \cdot 4 x^{2}-y^{2}=48 \)
B . \( x^{2}-4 y^{2}=48 \)
c. \( 3 x^{2}-y^{2}=48 \)
D. \( y^{2}-3 x^{2}=48 \)
Subject: Physics
The frequency, wavelength and speed of
a sound wave are related as :
\( \boldsymbol{v}=\operatorname{velocity} \) of \( \boldsymbol{w} \boldsymbol{a v e}, \boldsymbol{u}= \)
frequency, \( \lambda= \)wavelength
This question has multiple correct options
A \( . \lambda=v T \)
В. \( \lambda=v / u \)
c. \( u=v / \lambda \)
D. \( \lambda=u v \)
\( v \)
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})\left\{\begin{array}{l}=\mathbf{2} \boldsymbol{x}^{2}+\frac{2}{x^{2}} \text { for }-\mathbf{2} \leq \boldsymbol{x}<\mathbf{0} \boldsymbol{a} \\ =\mathbf{1} \quad \text { for } \boldsymbol{x}=\mathbf{0}\end{array}\right. \)
Determine the greatest and least values. What is the minimum value of
the function?
A. 0
B. 1
\( c \cdot 4 \)
\( D \)
Subject: Maths
If \( 2 \sin \theta+1=0 \) and \( \sqrt{3} \tan \theta=1 \) then
find general value of \( \boldsymbol{\theta} \) is
\( ^{\mathrm{A}} \cdot_{n \pi \pm} \frac{\pi}{6} \)
в. \( \quad n \pi+(-1)^{n} \cdot \frac{7 \pi}{6} \)
c. \( _{2 n \pi+\frac{7 \pi}{6}} \)
D. \( 2 n \pi+\frac{11 \pi}{6} \)
Subject: Maths
Determine the matrix \( A \), when
\( \boldsymbol{A}=\mathbf{4}\left[\begin{array}{ccc}\mathbf{1} & \mathbf{2} & \mathbf{3} \\ -\mathbf{1} & -\mathbf{2} & -\mathbf{3} \\ \mathbf{4} & \mathbf{2} & \mathbf{6}\end{array}\right]+\mathbf{2}\left[\begin{array}{ccc}\mathbf{5} & \mathbf{4} & \mathbf{1} \\ \mathbf{3} & \mathbf{2} & \mathbf{4} \\ \mathbf{3} & \mathbf{8} & \mathbf{2}\end{array}\right] \)
Subject: Biology
Rosalind Franklin produced an X-ray image that helped Watson and Crick determine the width of a DNA molecule.
What did this information help them
realize?
A. Bonding between two purines would be consistent witt the diameter of the DNA helix
B. Chargaffs Rule did not apply to the DNA molecule
c. Bonding between a purine and pyrimidine would be consistent with this width of a DNA helix since each rung has a three-ring molecular dimension.
D. Adenine must bond with cytosine, and guanine must bond with thymine on each rung of the DNA ladder to accommodate for proper diameter of the double helix
Subject: Chemistry
Electronic configuration \( \boldsymbol{O} \) is:
A \( \cdot[H e] 2 s^{2} 2 p^{4} \)
B . \( [H e] 2 s^{3} 2 p^{4} \)
\( \mathbf{c} \cdot[H e] 2 s^{2} 2 p^{5} \)
D \cdot \( [H e] 3 s^{2} 2 p^{4} \)
Subject: Maths
The point \( \left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right),\left(x_{1}, y_{2}\right) \) and
\( \left(x_{2}, y_{1}\right) \) are always \( ? \)
A. Collinear
B. concyclic
c. vertices of square
D. vertices of a rhombus
Subject: Chemistry
The energy of an electron in second Bohr
orbit of hydrogen atom is:
A. \( -5.44 \times 10^{-19} \) ev
B . - 5.44 \( \times 10^{-19} \) cal
c. \( -5.44 \times 10^{-19} \mathrm{kJ} \)
D. - \( -5.44 \times 10^{-19} \) 」
Subject: Chemistry
A rigid tank contains \( 35 k g \) of nitrogen
at 6 atm. Sufficient quantity of oxygen is supplied to increase the pressure to 9 atm, while the temperature remains constant. Amount of oxygen supplied to the tank is :
A. \( 5 k g \)
B. \( 10 \mathrm{kg} \)
c. \( 20 k g \)
D. \( 40 \mathrm{kg} \)
Subject: Maths
\( \frac{(x+1)^{2}}{x^{3}+x}=\frac{A}{x}+\frac{B x+C}{x^{2}+1} \Rightarrow \)
\( \sin ^{-1}\left[\frac{A}{C}\right]= \)
A \( \cdot \frac{\pi}{6} \)
в. \( \frac{\pi}{4} \)
\( c \cdot \frac{\pi}{3} \)
\( D \cdot \frac{\pi}{2} \)
Subject: Chemistry
A solution is prepared by dissolving \( 5.64 \mathrm{g} \) of glucose in \( 60 \mathrm{g} \) of water. Calculate the molality of the
solution.
A. \( 0.281 \mathrm{m} \)
B. 1.21 \( \mathrm{m} \)
\( c \cdot 1.044 \mathrm{m} \)
D. 0.522 \( \mathrm{m} \)
Subject: Maths
If \( \alpha \) and \( \beta \) are the roots of \( 4 x^{2}-16 x+ \)
\( c=0, c>0 \) such that \( 1<\alpha<2<\beta<3 \)
then the no.of integer values of \( c \) is
A . 17
B . 14
c. 18
D. 15
Subject: Maths
A spherical balloon is being inflated so that its volume increases uniformly at
the rate of \( 40 \mathrm{cm}^{3} / \mathrm{min.} \) At \( r=8 \mathrm{cm}, \) its
surface area increases at the rate
\( \mathbf{A} \cdot 8 \mathrm{cm}^{2} / \mathrm{min} \)
B . \( 10 \mathrm{cm}^{2} / \mathrm{min} \)
c. \( 20 \mathrm{cm}^{2} / \mathrm{min} \)
D. none of these
Subject: Biology
Select the correct statements from the
following.
I. Endosperm is generally triploid in angiosperms.
Il. All angiosperms have monosporic and endosporic embryo sac.
III. Angiosperms are characterised by double-fertilization.
IV. All angiosperms show-indirect pollination and siphonogamy.
A . I, II and III
B. ॥, ॥ा and IV
c. ।, III and IV
D. I, II, III and IV
Subject: Chemistry
The percentage composition of sodium phosphate as determined by analysis is 42.1\% sodium, 18.9 \% phosphorus and 39 \( \% \) oxygen. Find the empirical formula of the compound \( [\mathrm{Na}=23, \mathrm{P}=31,0=16] \)
A. \( N a_{3} P O_{3} \)
в. \( N a P O_{4} \)
\( \mathbf{c} \cdot N a_{2} P O_{4} \)
D. \( N a_{3} P O_{4} \)
Subject: Maths
If \( \boldsymbol{A}^{T}=\left[\begin{array}{cc}\mathbf{4} & \mathbf{5} \\ -\mathbf{1} & \mathbf{0} \\ \mathbf{2} & \mathbf{3}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}2 & -1 & 1 \\ 7 & 5 & -2\end{array}\right], \) verify the following
\( \mathbf{A} \cdot(A+B)^{T}=A^{T}+B^{T}=B^{T}+A^{T} \)
В \( \cdot(A+B)^{T}=A^{T}-B^{T} \)
c. \( \left(B^{T}\right)^{T}=B \)
D. none of these
Subject: Physics
Two bodies of masses ' \( m \) ' and '2m' are
thrown upwards with a velocity of ' \( u^{\prime} \)
and '3 \( u \) ' from the surface respectively.
What is the ratio of their potential energies at the highest point?
A . 1: 9
в. 3: 1
\( \mathbf{c} \cdot 1: 18 \)
D. 4: 1
Subject: Maths
\( \triangle A B C \) is similar to \( \triangle X Y Z \) by \( S A S \) similarity. If in \( \triangle A B C A B= \)
\( \mathbf{1 2}, \boldsymbol{B C}=\mathbf{8}, \angle \boldsymbol{B}=\mathbf{6 0} \)
and in \( \triangle \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z} \boldsymbol{X} \boldsymbol{Y}=\mathbf{3}, \angle \boldsymbol{Y}=\mathbf{6 0} . \) Find
the value of \( Y Z \)
A . 15
B . 20
\( c \cdot 4 \)
D. 2
Subject: Chemistry
Which of the following statements is correct according to the basic concept of thermodynamics which govern the
feasibility of a metallurgical process?
A. When the value of \( \triangle G \) is positive for the equation \( \Delta G= \) \( \triangle \mathrm{H}-\mathrm{T} \Delta \mathrm{S} \), the reaction will proceed
B. If reactants and products of two reactions are put together and net \( \triangle G \) is -ve, the overall reaction will occur
c. on increasing the temperature, the value of \( \triangle G \) becomes +ve
D. Feasibility of thermal oxidation of an ore can be established by Ellingham diagram in which a straight line shows the reduction reaction will proceed.
Subject: Chemistry
A solution has \( 0.05 M M g^{2+} \) and
\( 0.05 M N H_{3} . \) The concentration of
\( N H_{4} C l \) required to prevent the
formation of \( M g(O H)_{2} \) in solution is:
\( \boldsymbol{K}_{s p} \) of \( M \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2}=\boldsymbol{9} \cdot \boldsymbol{0} \times 10^{-12} \) and
\( \boldsymbol{K}_{\boldsymbol{b}} \) of \( \boldsymbol{N} \boldsymbol{H}_{3}=\mathbf{1} . \boldsymbol{8} \times \mathbf{1 0}^{-\mathbf{5}} \)
\( \mathbf{A} \cdot 0.062 M \)
в. 0.067 М
\( \mathrm{c} .0 .075 \mathrm{M} \)
D. \( 0.070 M \)
Subject: Chemistry
Which of the following on reaction with acetylene \( (\boldsymbol{C H} \equiv \boldsymbol{C H}) \) produce
\( \operatorname{gas}(e s) ? \)
I. \( K \) in liquid \( N H_{3} \) II. \( N^{\ominus} \) IIII.CH\( _{3} \) IV.OH
A. \( (I),(I I) \) and \( (I I I) \)
B. \( (I),(I I) \) and \( (I V) \)
c. \( (I),(I I I) \) and \( (I V) \)
D. \( (I I),(I I I) \) and \( (I V) \)
Subject: Physics
The binding energy per nucleon of \( _{17}^{35} C l \) nucleus is
\( \left(_{17}^{35} C l=34.98000 \mathrm{amu}, m_{P}=1.007825\right. \)
\( \operatorname{amu,m}_{n}=1.008665 \) amu and 1 amu is
equivalent to \( 931 \mathrm{MeV} \) )
A \( .4 .6 \mathrm{MeV} \)
B. \( 5.8 \mathrm{MeV} \)
c. \( 6.5 \mathrm{MeV} \)
D. \( 8.2 \mathrm{MeV} \)
Subject: Maths
Nitya and Satya have some marbles with them. Nitya says to Satya, "If you give one marble to me, we will have equal number of marbles. Satya says to Nitya, "If you give me one marble, I will have twice the number of marbles you
have". How many marbles do Nitya and Satya have respectively?
A \( \cdot 4,6 \)
в. 5,7
\( c \cdot 6,4 \)
D. 7,5
Subject: Physics
The potential energy of the dipole in the equilibrium position is :
\( \mathbf{A} \cdot+3 \times 10^{-23} J \)
В. \( -3 \times 10^{-23} \mathrm{J} \)
c. \( -6 \times 10^{-23} J \)
D. \( -3 \times 10^{-36} J \)
Subject: Chemistry
\( \boldsymbol{K}_{c} \) for the reaction \( \boldsymbol{A}+\boldsymbol{B} \stackrel{\frac{\boldsymbol{K}_{1}}{\boldsymbol{K}_{2}}} \boldsymbol{C}+\boldsymbol{D}, \) is
equal to:
A \( \cdot \frac{K_{1}}{K_{2}} \)
в. \( K_{1} K_{2} \)
\( \mathbf{c} \cdot K_{1}-K_{2} \)
D. \( K_{1}+K_{2} \)
Subject: Physics
In a tug of war, the team that exerts a
larger tangential force on the ground wins, winning team not moving. Consider the period in which a team is dragging the opposite team by applying a larger tangential force on the ground. Which of the following work is negative?
A. work by the ground on the winning team.
B. work done by string on the winning team.
c. work by ground on the losing team.
D. total external work on the two teams.
Subject: Maths
Find the scalar components and magnitude of the vector joining the
points \( \boldsymbol{P}\left(\boldsymbol{x}_{1}, \boldsymbol{y}_{1}, \boldsymbol{z}_{1}\right) \) and \( \boldsymbol{Q}\left(\boldsymbol{x}_{2}, \boldsymbol{y}_{2}, \boldsymbol{z}_{2}\right) \)
Subject: Physics
A unit charge moves on an equipotential surface from a point \( A \) to
point \( \mathrm{B} \), then :
A. \( V_{A}-V_{B}=+v e \)
в. \( V_{A}-V_{B}=0 \)
\( \mathbf{c} \cdot V_{A}-V_{B}=-v e \)
D. it is stationary
Subject: Chemistry
Based on the equation, \( \boldsymbol{E}=-\mathbf{2 . 0} \times \)
\( 10^{-18} \frac{Z^{2}}{n^{2}} J, \) the wavelength of the light
that must be absorbed to excite
hydrogen electron from level \( n=1 \) to
level \( n=2 \) will be: \( (h=6.625 \times \) \( \left.\mathbf{1 0}^{-\mathbf{3 4}} \boldsymbol{J} s, \boldsymbol{C}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{4}} \boldsymbol{m} \boldsymbol{s}^{-1}\right) \)
A . \( 1.2 \times 10^{-7} \mathrm{m} \)
В . \( 1.325 \times 10^{-7} \mathrm{m} \)
c. \( 5.300 \times 10^{-10} \mathrm{m} \)
D. \( 1.325 \times 10^{-10} m \)
Subject: Chemistry
Bond energies in \( N O, N O^{+} \) and \( N O^{-} \)
are such that:
A. \( N O>N O^{+}>N O^{-} \)
В. \( N O^{-}>N O>N O^{+} \)
c. \( N O^{+}>N O^{-}>N O \)
D. \( N O^{+}>N O>N O \)
Subject: Chemistry
At a given temperature the rate constant for the decomposition of HI on
a metal surface is \( 0.06 M s^{-1}, \) i.e.
\( \mathbf{2} \boldsymbol{H} \boldsymbol{I} \rightarrow \boldsymbol{H}_{2(g)}+\boldsymbol{I}_{2(g)} . \) The time taken
for the concentration of HI to fall from
\( 1.50 \mathrm{M} 0.30 \mathrm{M} \) is :
A . 10 s
B. 5 s
c. 25 s
\( D \cdot 8 s \)
Subject: Maths
Find the value of the sum \( \sum_{r=1}^{n} \) \( \sum_{s=1}^{n} \delta_{r s} 2^{r} 3^{s} \) where \( \delta_{r s} \) is zero if \( r \neq s \& \)
\( \delta_{r s} \) is one if \( r=s \)
A \( \cdot \frac{6\left(6^{n}-1\right)}{5} \)
B. \( \frac{6\left(6^{n}+1\right)}{5} \)
c. \( \frac{5\left(6^{n}+1\right)}{6} \)
D. \( \frac{n\left(6^{n}-1\right)}{6} \)
Subject: Physics
A transparent sphere of radius \( 20 \mathrm{cm} \) and refractive index 1.6 is fixed in a hole
of the partition separating the two
media: A(refractive index \( n_{1}=1.2 \) ) and B
(refractive index \( n_{3}=1.7 \) ). A luminous point object is placed \( 120 \mathrm{cm} \) from
surface of sphere in medium A. It is viewed from D in medium B in a
direction normal to the sphere. Find the
position of the image formed by the rays, from point \( \mathrm{N} \)
Subject: Physics
A Particle \( A \) having a charge of \( 5 \cdot 0 x \)
\( 10^{-7} C \) is fixed in a vertical wall. \( A \)
second particle \( B \) of mass \( 100 g \) and having equal charge is suspended by a silk thread of length \( 30 \mathrm{cm} \) from the
wall. The point of suspension is \( 30 \mathrm{cm} \)
above the particle \( A \). Find the angle of the thread with the vertical when it
stays in equilibrium.
Subject: Biology
Which of the following matches is
correct?
(1)
Mucor Reproduction
by
conjugation Ascor
parasitic
fungus Basidi
(2) Agaricus
(3) Basidi Basidi \( \begin{array}{ll}\text { Phytophthora } & \begin{array}{l}\text { Aseptate } \\ \text { mycelium }\end{array} \\ \text { Alternaria } & \begin{array}{l}\text { Sexual } \\ \text { reproduction } \\ \text { absent }\end{array}\end{array} \)
(4) Deute
\( A \cdot 3 \)
\( B .2 \)
\( c \cdot 1 \)
\( D \cdot 4 \)
Subject: Maths
If \( A \) and \( B \) are two events such that \( P(A \cup B) \geq \frac{3}{4} \) and \( \frac{1}{8} \leq P(A \cap B) \leq \)
\( \mathbf{3} \)
\( \overline{\mathbf{8}}^{\prime} \)
then
This question has multiple correct options
A \( \cdot P(A)+P(B) \geq \frac{7}{8} \)
B . \( P(A)+P(B) \leq 11 / 8 \)
\( c \cdot P(A) P(B) \leq \frac{3}{8} \)
D. None of these
Subject: Chemistry
When one mole of \( P(g) \) is introduced in one litre closed rigid vessel maintained at constant temperature, the following equilibrium is established. \( \boldsymbol{P}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{Q}(\boldsymbol{g})+\boldsymbol{R}(\boldsymbol{g}) \quad \Longrightarrow \boldsymbol{K}\left(\boldsymbol{C}_{1}\right) \)
\( \boldsymbol{R}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{Q}(\boldsymbol{g}) \quad \Longrightarrow \boldsymbol{K}\left(\boldsymbol{C}_{2}\right) \)
f the final equilibrium pressure is 2 times of the initial pressure, then the value of \( \frac{\boldsymbol{K}\left(\boldsymbol{C}_{2}\right)}{\boldsymbol{K}\left(\boldsymbol{C}_{1}\right)} \) is
[Ratio of the equilibrium concentration of \( Q \text { and } R \text { is } 5] \)
Subject: Maths
The area of the region bounded by the
\( \operatorname{lines} y=2 x+1, y=3 x+1 \) and \( x=4 \)
is
A. 16 sq.unit
в. \( \frac{121}{3} \) sq.unit
c. \( \frac{121}{6} \) sq.unit
D. 8 sq.unit
Subject: Chemistry
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{N} \longrightarrow \boldsymbol{A} \)
\( \boldsymbol{A}+\boldsymbol{Z} \boldsymbol{n} \longrightarrow \boldsymbol{B} \)
\( B \) is a metal. Hence \( A \) and \( B \) is:
A \( \cdot \operatorname{Na}_{2}\left[\operatorname{Zn}(C N)_{4}\right], Z n \)
в. \( \operatorname{Na}\left[\operatorname{Ag}(C N)_{2}\right], \) А \( g \)
c. \( \operatorname{Na}\left[A g(C N)_{4}\right], A g \)
D. \( \operatorname{Na}_{3}\left[\operatorname{Ag}(C N)_{4}\right], A g \)
Subject: Physics
A point charge of magnitude \( +1 \mu c \) is
fixed at \( (0,0,0) . \) An isolated uncharged spherical conductor is fixed its centre
at \( (4 m, 0,0) . \) The potential and the induced electric field at the centre of
the sphere is
A . \( 1.8 \times 10^{5} V \) and \( -5.625 \times 10^{6} V / m \)
B. \( 0 \mathrm{V} \) and \( 0 \mathrm{V} / \mathrm{m} \)
C . \( 2.25 \times 10^{5} V \) and \( -5.625 \times 10^{6} V / m \)
D. \( 2.25 \times 10^{5} V \) and \( 0 V / m \)
Subject: Chemistry
What is the boiling point of \( \boldsymbol{P C l}_{3} \) ?
\( \mathbf{A} \cdot-93.6^{\circ} \mathrm{C} \)
B . \( 169^{\circ} \mathrm{C} \)
c. \( 100^{\circ} \mathrm{C} \)
D. \( 76.1^{\circ} \mathrm{C} \)
Subject: Physics
\( A, B \) and \( C \) are the three forces each of
magnitude \( 4 N \) acting in the plane of
paper as shown in the figure. The point
O lies in the same plane. Which force
has the least moment about \( O \) ?
\( A \cdot A \)
в. \( B \)
\( c . C \)
D. all the above
Subject: Chemistry
Among the statements \( (a)-(d), \) the incorrect ones are:
(a) Octahedral \( C o(I I I) \) complexes with strong field ligands have very high magnetic moments
(b) When \( \Delta_{0}<P, \) the d-electron
configuration of \( \operatorname{Co}(I I I) \) in an octahedral complex is \( t_{e g}^{4} e_{g}^{2} \)
(c) Wavelength of light absorbed by \( \left[\boldsymbol{C o}(\boldsymbol{e n})_{3}\right]^{3+} \) is lower than that of
\( \left[\boldsymbol{C o F}_{6}\right]^{3-} \)
(d) If the \( \Delta_{0} \) for an octahedral complex
of \( C o(I I I) \) is \( 18,000 \mathrm{cm}^{-1}, \) the \( \Delta_{t} \) for
its tetrahedral complex with the same
ligand will be \( 16,000 \mathrm{cm}^{-1} \)
\( A \cdot(b) \) and \( (c) \) only
B. (a) and (d) only
C. (a) and (b) only
D. (c) and (d) only
Subject: Physics
The value of \( \alpha \) of a transistor is \( 0.9 . \) The
change in the collector current
corresponding to a change of 4 m \( A \) in
the base current in a common
emitter arrangement is
\( \mathbf{A} .36 \mathrm{mA} \)
в. 72 тА
\( c .18 m A \)
D. 54 m
Subject: Physics
In the circuit shown below in Fig.
the value of \( x \) if the equivalent
resistance between \( A \) and \( B \) is \( 4 \Omega \) will
be:
\( A \cdot 2 \Omega \)
B. \( 1 \Omega \)
c. \( 1.5 \Omega \)
D. \( 3 \Omega \)
Subject: Physics
Assertion
An object may fall with a constant
velocity.
Reason
This happens when acceleration of the
object is equal to acceleration due to
gravity
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
Calculate mode for the following data
shows the number of colour pencils the
students have in a class.
\( \begin{array}{lllll}\text { Colour } & \mathbf{0}- & \mathbf{5}- & \mathbf{1 0}- & \mathbf{1 5}- \\ \text { Pencils } & \mathbf{5} & \mathbf{1 0} & \mathbf{1 5} & \mathbf{2 0}\end{array} \)
Number
of
students 17 13
\( \mathbf{A} \cdot 11 \)
B. 15
\( \mathbf{c} \cdot 19 \)
D. 16
Subject: Chemistry
Which of the following statements are
correct about phenol-formaldehyde
resin?
This question has multiple correct options
A. Novolac or resin is a liner polymer and is used in the manufacture of adhesive.
B. Bakelite is a cross-linked polymer and is used in making switches and plugs.
C. Novolac is prepared when (P/F) (phenol/formaldehyde) ratio is greater than 1 , whereas bakelite is prepared when (P/F) ratio is less than 1
D. Novolac is prepared when \( \mathrm{P} / \mathrm{F}<1 \) and bakelite is prepared when \( \mathrm{P} / \mathrm{F}>1 \)
Subject: Maths
\( \int_{0}^{\pi / 2} f(\sin 2 x) \sin x d x= \)
\( K \int_{0}^{\pi / 2} f(\cos 2 x) \cos x d x \) where \( k \)
equals to
A . 2
B. 4
\( c \cdot \sqrt{2} \)
D. \( 2 \sqrt{2} \)
Subject: Chemistry
\( \boldsymbol{\alpha}-\boldsymbol{D}-\boldsymbol{G} \boldsymbol{l} \boldsymbol{u} \operatorname{cose} \) and \( \boldsymbol{\beta}-\boldsymbol{D}- \)
Glucose are not:
A. Epimers
B. Anomers
c. Enationers
D. Diastereomers
Subject: Maths
The differential equation \( \frac{d y}{d x}= \)
\( \sqrt{1-y^{2}} \) determines a family of circles \( \boldsymbol{y} \)
with:
A . variable radii and a fixed centre (0,1)
B. variable radii and a fixed centre (0,-1)
C. fixed radius 1 and variable centres along the \( x \) -axis
D. fixed radius 1 and variable centres along the \( y \) -axis
Subject: Physics
A black body has a wavelength of \( \lambda \) at
temperature \( 2000 K . \) Its corresponding
wavelength at temperature \( 3000 K \) will
be:
A \( \cdot \frac{2 \lambda}{3} \)
в. \( \frac{3 \lambda}{2} \)
c. \( \frac{4 \lambda}{9} \)
D. \( \frac{9 \lambda}{4} \)
Subject: Physics
There are two concentric spherical shells of radii \( r \) and \( 2 r . \) Initially a
charge \( Q \) is given to the inner shell and
both the switches are open. Now \( S_{2} \) is closed and opened, The charge flowing
through the switch \( S_{2} \) in the process is
A. \( Q \)
в. \( \frac{Q}{4} \)
\( c \cdot \frac{Q}{2} \)
D. \( \frac{2 Q}{3} \)
Subject: Chemistry
The amount of heat necessary to raise
the temperature of 0.2 mol of \( N_{2} \) at
constant pressure from \( 37^{\circ} C \) to \( 337^{\circ} C \) will be
\( \mathbf{A} \cdot 746 J \)
в. 1746 Л
c. 2746 cal
D. \( 3746 J \)
Subject: Chemistry
Statement 1: Transition metal
compounds generally exhibit bright colors. Statement 2: The electrons in the
partially filled d orbitals are easily
promoted to excited states.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. statement 1 is correct but statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement1 and Statement 2 are not correct