AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The number of bacteria, measured in thousands, in a culture is modeled by the equation \( b(t)=\frac{380 e^{2.3 l t}}{175+e^{3.2 l t}}, \) where
\( t \) is the number of days since the culture was formed. According to this model, the culture can support a maximum population of
A . 217
в. 205
\( c .380 \)
D. 760
\( E \cdot \alpha \)
Subject: Physics
A charge particle of mass 'm' \& charge q is released from rest from a given position \( Q \) inside a fixed vertical
semicircular trough. For the presence and the absence of magnetic field
normal reaction acting on the change at
Pare \( N_{1} \) and \( N_{2} \) respectively. Neglecting friction and assuming
gravity presence. The value of \( N_{1}-N_{2} \)
is:
A \( .2 B q \sqrt{2 g R} \)
в. \( \frac{B q \sqrt{2 g R}}{2} \)
с. \( B q \sqrt{2 g R} \)
D. \( \frac{B q \sqrt{2 g R}}{4} \)
Subject: Physics
In a car race, car A takes a time of ts, less than car \( \mathrm{B} \) at the finish and passes the finishing point with a velocity more than car B. Assuming that the cars start from rest and travel with
constant accelerations \( a_{1} \) and \( a_{2} \)
respectively, show that \( v=\sqrt{a_{1} a_{2} t} \)
Subject: Chemistry
Aqueous solutions of
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}, \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O H} \) and \( \boldsymbol{C H}_{3} \boldsymbol{C O O K} \)
of identical concentrations are given
The pair(s) of the solution which may form a buffer upon mixing is(are):
This question has multiple correct options
A. \( N a O H \) and \( C H_{3} C O O H \)
в. \( H N O_{3} \) and \( C H_{3} C O O K \)
c. \( C H_{3} C O O H \) and \( C H_{3} C O O K \)
D. \( H N O_{3}+C H_{3} C O O H \)
Subject: Maths
\( A \) is a set containing \( n \) elements. subset \( P \) of \( A \) is chosen at random. The
set \( A \) is reconstructed by replacing the elements of the subset P.A subset Q of
A is again chosen at random. The probability that where \( |\boldsymbol{X}|= \) number of elements in \( \mathbf{X} \)
Subject: Chemistry
Calculate the equilibrium concentration ratio of \( \boldsymbol{C} \) to \( \boldsymbol{A} \) if
equimolar ratio of \( A \) and \( B \) were
allowed to come to equilibrium at \( 300 K \)
\( \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{C}(\boldsymbol{g})+ \)
\( \boldsymbol{D}(\boldsymbol{g}) ; \quad \boldsymbol{\Delta} \boldsymbol{G}^{o}=-\boldsymbol{8} \boldsymbol{3} \boldsymbol{0} \boldsymbol{c a l} \)
Subject: Physics
An aluminium rod (length \( l_{1} \) and
coefficient of linear expansion \( \alpha_{A} \) ) and
a steel rod (length \( l_{2} \) and coefficient of
linear expansion \( \alpha_{B} \) ) are joined
together. If the length of each rod increased by the same amount when
their temperatures are raised by \( t^{o} C \)
then \( l_{1} /\left(l_{1}+l_{2}\right) \) is:
A \( \cdot \alpha_{A} / \alpha_{B} \)
в. \( \alpha_{B} / \alpha_{A} \)
c. \( \alpha_{B} / \alpha_{A}+\alpha_{B} \)
D. \( \alpha_{A} / \alpha_{A}+\alpha_{B} \)
Subject: Chemistry
Sulphur forms the chlorides \( S_{2} C l_{2} \) and
\( \boldsymbol{S C l}_{2} . \) The equivalent mass of sulphur in
\( \boldsymbol{S C l}_{2} \) is \( 16 \mathrm{g} / \) mol. Therefore, the
equivalent mass of sulphur in \( S_{2} C l_{2} \) is:
B . \( 16 \mathrm{g} / \mathrm{mol} \)
\( \mathbf{c} \cdot 64 \mathrm{g} / \mathrm{mol} \)
D. \( 8 \mathrm{g} / \mathrm{mol} \)
Subject: Chemistry
A sample of pure \( \boldsymbol{P} \boldsymbol{C l}_{5} \) was introduced
into an evacuated vessel at 473 K. After
equilibrium was attained,
concentration of \( P C l_{5} \) was found to be
\( \mathbf{0 . 5} \times \mathbf{1 0}^{-1} \mathbf{m o l} \mathbf{L}^{-\mathbf{1}} \)
\( \boldsymbol{P} \boldsymbol{c l}_{5}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}), \boldsymbol{K}_{C}= \)
\( 8.3 \times 10^{-3} \) mol \( L^{-1} \)
В. 0.04 М
c. \( 0.2 M \)
D. \( 0.02 \mathrm{M} \)
Subject: Physics
In the ladder network shown, current
through the resistor \( 3 \Omega \) is \( 0.25 A . \) The
input voltage ' \( V^{\prime} \) is equal to
A . \( 10 V \)
B . \( 20 V \)
\( c .5 V \)
D. \( \frac{15}{2} v \)
Subject: Chemistry
Match these words /sentences with
appropriate statements given below:
(methanol, fermentation, catenation,
homologous series, hydrogen gas)
i) The ability of carbon to form a large number of compounds through selflinking property.
ii) Alcohols react with sodium to give
this element.
iii) This series helps in giving knowledge and enables a systematic study of members.
iv) Formation of simple molecules from complex organic compounds using enzymes.
v) Unlike ethanol, the intake of this compound in very small quantities can cause death.
Subject: Maths
A merchant buys \( 1260 \mathrm{kg} \) of corn \( \frac{1}{4} \) of which he sells at a gain of \( 5 \%, \frac{1}{3} \) at a gain of \( \% \) and the remainder at a gain of \( 12 \% \). If he had sold the whole at a gain
of \( 10 \% \) he would have gained \( \operatorname{Rs} 27.30 \)
more. Find the cost price per \( \mathbf{k g} \)
A . Rs 5
B. Rs 2
c. Rs 3
D. Rs 2.50
Subject: Biology
Assertion : Earthworms excrete both
ammonia and urea

Reason : Excretion in earthworm
depends on the
environment.
A. If both the assertion and the reason are true and the reason
is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is
not a correct explanation of the assertion
c. If the assertion is true but the reason is false
D. If both the assertion and reason are false
E. If the assertion is false but reason is true
Subject: Physics
A charge \( q \) is placed at the corner of a cube of side \( a \). The electric flux passing
through the cube is :
A \( \cdot \frac{q}{a \varepsilon_{0}} \)
в. \( \frac{q}{\varepsilon_{0} a^{2}} \)
c. \( \frac{q}{4 \pi \varepsilon_{0} a^{2}} \)
D. \( \frac{q}{24 \varepsilon_{0}} \)
Subject: Physics
In a common base circuit, if the
collector base voltage is changed by \( \mathbf{0 . 6} \boldsymbol{V}, \) collector current changes by \( 0.02 m A . \) The output resistance will be
A \( \cdot 10^{4} \Omega \)
B \( \cdot 2 \times 10^{4} \Omega \)
c. \( 3 \times 10^{4} \Omega \)
D. \( 4 \times 10^{4} \Omega \)
Subject: Maths
Prove that \( :\left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{c} & \boldsymbol{a}+\boldsymbol{c} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b} & \boldsymbol{a} \\ \boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}\end{array}\right|= \)
\( 4 a b c \)
Subject: Maths
\( \left(x^{2}-y^{2}\right) \frac{d y}{d x}=x y . \) Solve the above
equation
A \( \cdot e^{-x^{2} / 2 y^{2}}=k x \)
B . \( e^{-x^{2} / 2 y^{2}}=k y \)
C \( \cdot e^{x^{2} / 2 y^{2}}=k x \)
D \cdot \( e^{x^{2} / 2 y^{2}}=k y \)
Subject: Chemistry
How many of the following compounds
do not react with \( \boldsymbol{H}_{2} / \boldsymbol{N} \boldsymbol{i} ? \)
Propanenitrile Methylethanoate
Pentan-2-one Ethanoic acid

Benzenecarbonylchloride But-1-yne Propanamide Nitroethane
A .4
B. 5
\( c \cdot 3 \)
D. None of these
Subject: Chemistry
The quantity of \( C O_{2} \) in \( 500 \mathrm{ml} \) of soda
water when packed under 2.5 atm \( C O_{2} \)
pressure at \( 298 \mathrm{K} \) is gm ( Henry's law constant \( 1.67 \times 10^{8} \) pa at \( 298 \mathrm{K} \) )
A . 0.64
B. 1.86
\( c \cdot 6.4 \)
D. 18.6
Subject: Physics
An elongation of \( 0.1 \% \) in a wire of cross-
section \( 10^{-6} m^{2} \) causes a tension of
\( 100 N . Y \) for the wire is
\( \mathbf{A} \cdot 10^{12} N / m^{2} \)
B. \( 10^{11} N / m^{2} \)
\( \mathbf{c} \cdot 10^{10} N / m^{2} \)
D. \( 100 \mathrm{N} / \mathrm{m}^{2} \)
Subject: Physics
The length of a metal is \( l_{1} \) when the
tension in it is \( T_{1} \) and is \( l_{2} \) when the
tension is \( T_{2} . \) The original length of the wire is :
A \( \cdot \frac{l_{1}+l_{2}}{2} \)
в. \( \frac{l_{1} T_{2}+l_{2} T_{1}}{T_{1}+T_{2}} \)
c. \( \frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} \)
D. \( \sqrt{T_{1} T_{2} l_{1} l_{2}} \)
Subject: Maths
There exists a positive real number \( x \)
satisfying \( \cos \left(\tan ^{-1} x\right)=x \). The value of \( \cos ^{-1}\left(\frac{x^{2}}{2}\right) \) is
A \( \cdot \frac{\pi}{10} \)
в.
c. \( \frac{2 \pi}{5} \)
D. \( \frac{4 \pi}{5} \)
Subject: Chemistry
Which of the following electrolytes will not be most effective in the coagulation of gold sol? This question has multiple correct options
A. \( N a N O_{3} \)
в. \( K_{4}\left[\operatorname{Fe}(C N)_{6}\right] \)
c. \( N a_{3} P O_{4} \)
D. \( M g C l_{2} \)
Subject: Physics
The moment of inertia of a ring of mass
\( 10 g \) and radius \( 1 c m \) about a tangent to
the ring and normal to its plane is :
A \( \cdot 2 \times 10^{-6} k g m^{2} \)
в. \( 5 \times 10^{-7} \mathrm{kgm}^{2} \)
c. \( 5 \times 10^{-8} k g m^{2} \)
D. \( 4 \times 10^{-6} k g m^{2} \)
Subject: Maths
If \( A_{2 \times 3}, B_{4 \times 3} \) and \( C_{2 \times 4} \) are three matrices then which of the following is/are defined?
A \( \cdot A C^{T} B \)
в. \( B^{T} C^{T} A \)
c. \( A B^{T} C \)
D. All of these
Subject: Chemistry
The correct order of the atomic radii of
\( \mathrm{C}, \mathrm{Cs}, \mathrm{Al} \) and \( \mathrm{S} \) is :
\( A \cdot S<C<A \mid<C S \)
B. \( s<c<c s<A l \)
\( c \cdot c<s<c s<A \)
D. \( c<S<A \mid<C \) s
Subject: Maths
If \( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \boldsymbol{f}(\boldsymbol{x})=\mathbf{4} \boldsymbol{x}^{3}-\frac{\boldsymbol{3}}{\boldsymbol{x}^{4}} \) such that
\( \boldsymbol{f}(2)=0 . \) Then \( \boldsymbol{f}(\boldsymbol{x}) \) is
A \( \cdot x^{4}+\frac{1}{x^{3}}-\frac{129}{8} \)
B. \( x^{3}+\frac{1}{x^{4}}+\frac{129}{8} \)
c. \( x^{4}+\frac{1}{x^{3}}+\frac{129}{8} \)
D. \( x^{3}+\frac{1}{x^{4}}-\frac{129}{8} \)
Subject: Chemistry
For a zero order reaction:
\( \mathbf{A} \cdot t_{1 / 2} \propto R_{o} \)
B \( \cdot t_{1 / 2} \propto \frac{1}{R_{o}} \)
\( \mathbf{c} \cdot t_{1 / 2} \propto R_{o}^{2} \)
D \( t_{1 / 2} \propto \frac{1}{R_{o}^{2}} \)
Subject: Physics
A block of mass 5 kg is lying on a rough horizontal surface. The coefficient of
static and kinetic friction are 0.3 and
0.1 and \( g=10 m s^{-2} . \) The frictional force
on the block is?
A . \( 25 \mathrm{N} \)
B. 15N
c. 10 N
D. zero
Subject: Physics
The initial velocity of a particle, \( \vec{u}= \) \( 4 \vec{i}+3 \vec{j} . \) It is moving with uniform acceleration, \( \vec{a}=0.4 \vec{i}+0.3 \vec{j} . \) Its
velocity after 10 seconds is
A. 3 unit
B. 4 unit
c. 5 unit
D. 10 unit
Subject: Biology
Assertion
A monocistronic mRNA can
produce several types of polypeptide
chains.
Reason
The terminator codon is present on
the mRNA.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
Subject: Maths
The sum of an infinite geometric series whose first term is the limit of the
function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\tan \boldsymbol{x}-\sin \boldsymbol{x}}{\sin ^{3} \boldsymbol{x}} \) as \( \boldsymbol{x} \rightarrow \mathbf{0} \)
and whose common ratio is the limit of
the function \( g(x)=\frac{1-\sqrt{x}}{\left(\cos ^{-1} x\right)^{2}} \) as \( x \rightarrow \)
1 is
A \( \cdot \frac{1}{3} \)
в. \( \frac{1}{4} \)
c. \( \frac{1}{2} \)
D. \( \frac{2}{3} \)
Subject: Physics
A quarter cylinder of radius \( R \) and
refractive index 1.5 is placed on a table.
A point object \( P \) is kept at a distance of
\( m R \) from it as shown in figure. For what
value of \( \boldsymbol{m} \) for which a ray from \( \boldsymbol{P} \) will
emerge parallel to the table?
\( A \cdot 2 \)
\( \overline{3} \)
B. 3 \( \overline{2} \)
\( c \cdot \frac{4}{3} \)
D. 3 4
Subject: Maths
If \( A \) and \( B \) are square matrices of order 3 such that \( |\boldsymbol{A}|=-\mathbf{1},|\boldsymbol{B}|=\mathbf{3}, \) then the
determinant of \( 3 A B \) is equal to
A . -9
B. -27
c. -81
D. 81
Subject: Physics
Two opposite forces \( \boldsymbol{F}_{1}= \)
\( 120 N \) and \( F_{2}=80 N \) act on an heavy
elastic plank of modulus of elasticity \( \boldsymbol{y}=\boldsymbol{2} \times \mathbf{1 0}^{11} \boldsymbol{N} / \boldsymbol{m}^{2} \) and length \( \boldsymbol{L}=\mathbf{1} \boldsymbol{m} \)
placed over a smooth horizontal surface. The cross-sectional area of
plank is \( A=0.5 m^{2} . \) If the change in the
length of plank is (in \( \mathrm{nm} \) )
\( A \)
B. 0.5
\( c \cdot 5 \)
\( D \)
Subject: Physics
Name the unit in which work function of
a metal is generally expressed. How is it related to the S.I. unit joule?
\( \mathbf{A} \cdot e V, 1 e V=1.6 \times 10^{9} J \)
B . \( e V, 1 e V=1.6 \times 10^{-9} J \)
c. \( e V, 1 e V=1.6 \times 10^{-19} J \)
D. \( e V, 1 e V=1.6 \times 10^{19} J \)
Subject: Chemistry
Statement - I: The mixing of two completely miscible liquid. A and B showing positive deviation from Raoult's law is followed by an
absorption of heat Statement - ll: The A- B molecular
interaction forces are stronger than the
A-A or B-B molecular interaction forces.
A. Statement-lis 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 - -
c. statement-lis true, Statement- - 2 is false
D. Statement-lis false, Statement- - 2 is true
Subject: Maths
Mark the correct alternative of the
following. \( f(x)=1+2 \sin x+3 \cos ^{2} x, 0 \leq x \leq \)
\( \frac{2 \pi}{3} \) is?
A. Minimum at \( x=\pi / 2 \)
B . Maximum at \( x=\sin ^{-1}(1 / \sqrt{3}) \)
c. Minimum at \( x=\pi / 6 \)
D. Maximum at \( \sin ^{-1}(1 / 6) \)
Subject: Physics
A boy on a cycle pedals a circle of 20
metres radius at a speed of 20 metre/sec. The combined mass of the
boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is
\( \left(\boldsymbol{g}=\mathbf{9} . \boldsymbol{8 m} / \mathbf{s e c}^{2}\right) \)
\( \mathbf{A} \cdot 60.25 \)
B . 63.90
c. \( 26.12^{\circ} \)
D. \( 30.00^{\circ} \)
Subject: Maths
The ratio of the number of trucks along a highway, on which a petrol pump is located, to the number of cars running along the same highway is 3: 2 . It is known that an average of one truck in thirty trucks and two cars in fifty cars
stop at the petrol pump to be filled up with the fuel. If a vehicle stops at the petrol pump to be filled up with the fuel, find the probability that it is a car
\( A \cdot \frac{4}{9} \)
в. \( \frac{9}{250} \)
\( c \cdot \frac{3}{5} \)
D. \( \frac{1}{30} \)
Subject: Chemistry
(a) Give reasons for the following:
(i) Bond enthalpy of \( F_{2} \) is lower than
that of \( \boldsymbol{C l}_{2} \)
(ii) \( P H_{3} \) has lower boiling point than \( \boldsymbol{N} \boldsymbol{H}_{3} \)
(b) Draw the structures of the following molecules:
(i) \( B r F_{3} \)
(ii) \( \left(\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{3}\right)_{3} \)
(iii) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\mathbf{4}} \)
(a) Account for the following:
(i) Helium is used in diving apparatus.
(ii) Fluorine does not exhibit positive oxidation state.
(iii) Oxygen shows catenation behavior less than sulphur.
(b) Draw the structures of the following molecules:
(i) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{2} \)
(ii) \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8} \)
Subject: Physics
A \( 1.2 \mathrm{m} \) wide railway track is parallel to magnetic meridian. The vertical component of earth's magnetic field is 0.5 Gauss. When a train runs on the
rails at a speed of \( 60 \mathrm{Km} / \mathrm{hr} \), then the
induced potential difference the ends of its axle will be
\( A \cdot 10^{-4} v \)
B . \( 2 \times 10^{-4} \mathrm{V} \)
c. \( 10^{-3} \mathrm{v} \)
D. zero
Subject: Physics
At \( t=0, \) the position and velocities of
two particle are as shown in the figure. They are kept on a smooth surface and being mutually attracted by gravitational force. Find the position of
center of mass at \( t=2 s \)
A. \( X=5 \) m
в. \( X=7 m \)
c. \( x=3 \) т
D. \( X=2 m \)
Subject: Chemistry
Consider the following concentration cell
\( Z n(s)\left|Z n^{2+}(0.024 M) \| Z n^{2+}(0.480 M)\right| Z \)
which of the following statements
is/are correct?

This question has multiple correct options
A. The EMF of the cell at \( 25^{\circ} \mathrm{C} \) is nearly \( +0.039 \mathrm{V} \)
B. The EMF of the cell at \( 25^{\circ} C \) is nearly -0.039 V.
C. If water is added in LHE, so that the \( \left[Z n^{2+}\right] \) is reduced to \( 0.012 \mathrm{M} \), the cell voltage increases.
D. If water is added in LHE, so that the \( \left[Z n^{2+}\right] \) is reduced to \( 0.012 \mathrm{M} \), the cell voltage decreases.
Subject: Maths
If the last term in the binomial
expansion of \( \left(2^{\frac{1}{3}}-\frac{1}{\sqrt{2}}\right)^{n} \quad \) is \( \quad\left(\frac{1}{3^{\frac{5}{3}}}\right)^{\log _{3} 8} \)
then the 5 th term from the beginning
is
A. 210
B. 420
\( c \cdot 105 \)
D. none of these
Subject: Chemistry
From the stability constants
(hypothetical value) given below,
predict the strongest ligand.
\( \mathbf{A} \)
\[
C u^{2+}+4 N H_{3} \rightarrow\left[C u\left(N H_{3}\right)_{4}\right]^{2+}, K=4.5 \times 10^{11}
\]
\( B \)
\[
C u^{2+}+4 C N^{-} \rightarrow\left[C u(C N)_{4}\right]^{2-}, K=2.0 \times 10^{27}
\]
\( \mathbf{c} \)
\[
C u^{2+}+2 e n \rightarrow\left[C u(e n)_{2}\right]^{2+}, K=3.0 \times 10^{15}
\]
D.
\[
C u^{2+}+4 H_{2} O \rightarrow\left[C u\left(H_{2} O\right)_{4}\right]^{2+}, K=9.5 \times 10^{8}
\]
Subject: Maths
In
[0,1] Lagrange's Mean Value theorem is NOT applicable to
A \( \cdot(\mathrm{x})=\left\{\begin{array}{ll}\frac{1}{2}-\mathrm{x}, & \mathrm{x}<\frac{1}{2} \\ \left(\frac{1}{2}-\mathrm{x}\right)^{2} & \mathrm{x} \geq \frac{1}{2}\end{array}\right. \)
B. \( f(x)=\left\{\begin{array}{ll}\frac{\sin x}{x}, & x \neq 0 \\ 1, & x=0\end{array}\right. \)
c. \( f(x)=x|x| \)
D. \( f(x)=|x| \)
Subject: Maths
Using Mean-Value Theorem, the best upper bound of \( \int_{0}^{1} \frac{\sin x}{1+x^{2}} d x \) is
A \( \cdot \frac{\pi}{4} \sin 1 \)
B. \( \pi \sin 1 \)
c. \( \frac{\pi}{2} \sin 1 \)
D. \( \frac{\pi}{4} \sin \left(\frac{1}{2}\right) \)
Subject: Biology
Which of the following statements
differentiates between terrestrial and
aquatic ecosystems?
A. Organisms in terrestrial ecosystems are dependent on oxygen, while those in aquatic ecosystems are not.
B. Nutrients are a limiting factor for populations in aquatic ecosystems but not for terrestrial populations
C. Producers make up the greatest amount of biomass in terrestrial ecosystems, while in aquatic ecosystems they do not.
D. Sunlight is a limiting factor for populations in terrestrial ecosystems but not for populations in aquatic ecosystems.
E. Energy in aquatic ecosystem is transferred from lower to higher trophic levels, but it moves in the opposite direction in aquatic ecosystems
Subject: Chemistry
Given chemical reaction.
\( \boldsymbol{x} \boldsymbol{S} \boldsymbol{O}_{3}^{2-}+\boldsymbol{y} \boldsymbol{N} \boldsymbol{O}_{2}^{-}+\boldsymbol{2} \boldsymbol{H}^{+} \longrightarrow \boldsymbol{S} \boldsymbol{O}_{4}^{2}+ \)
\( \boldsymbol{z} \boldsymbol{N} \boldsymbol{O}+\boldsymbol{H}_{2} \boldsymbol{O} \)
Then \( x+y+z \) is
Subject: Physics
Statement-1: Where two vibrating tuning forks having frequencies \( 256 H z \)
and \( 512 H z \) are held near each other,
beats cannot be heard.
Statement-2: The principle of
superposition is valid only if the
frequencies of the oscillations are nearly equal.
A. Both the statements are true and statement- 2 is the correct explanation of statement-
B. Both the statements are true but statement-2 is not
the correct explanation of statement-
c. Statement- 1 is true and statement- 2 is false
D. Statement-1 is false and statement- 2 is true
Subject: Chemistry
There are following extraction process
of silver but not:
A. as a side product in electrolytic refining of copper
B. Parke's process in which Zn is used to extract silver by solvent extraction from molten lead
C. by reaction of silver sulphide with \( K C N \) and then reaction of soluble complex with \( \mathrm{Zn} \).
D. by heating \( N a\left[A g(C N)_{2}\right] \)
Subject: Physics
If a block moving up at \( \boldsymbol{\theta}=\mathbf{3 0}^{\mathbf{0}} \) with a
velocity \( 5 \mathrm{m} / \mathrm{s}, \) stops after \( 0.5 \mathrm{sec}, \) then
\( \mu \) is:
A . 0.58
B. 0.42
\( c . \) о.
D. 023
Subject: Chemistry
By IUPAC norms the formulae for Tetrahydroxozincate(ll) ion is:
\( \mathbf{A} \cdot\left[Z n(O H)_{3}\right]^{2} \)
B . \( \left[Z n(O H)_{4}\right]^{3} \)
\( \mathbf{c} \cdot\left[Z n(O H)_{4}\right]^{2} \)
D. None of the above
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{O}_{(g)} \)
What type of change is represented by
the equation above?
A. This is a physical change because the equation is balanced
B. This is chemical change because the equation is balanced
c. This a physical change because the same compound is represented as both the reactant and product.
D. This a chemical change because the same compound is represented as both the reactant and product
Subject: Physics
Assertion
STATEMENT-1: If output of a AND gate is fed to OR gate, it is called NOR gate.
Reason
STATEMENT-2: If output of a AND gate is fed to NOT gate, it is called NAND gate.
A. Statement-1 is True, Statement-2 is True; Statementis a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-
c. statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True
Subject: Chemistry
Which of the following element belongs to the halogen group? This question has multiple correct options
A \( \cdot 1 s^{2}, 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \)
B . \( 1 s^{2}, 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6}, 4 s^{2} \)
C \( \cdot[A r] 3 d^{10}, 4 s^{2} 4 p^{5} \)
D . \( [K r] 4 d^{10}, 5 s^{2} 5 p^{5} \)
Subject: Physics
Find the components of a vector \( \overrightarrow{\boldsymbol{A}}= \) \( 2 \hat{i}+3 \hat{j} \) along the directions of \( \hat{i}+ \) \( \hat{j} \) and \( \hat{i}-\hat{j} \)
A \( \cdot \frac{5}{\sqrt{2}}, \frac{-1}{\sqrt{2}} \)
B. \( \frac{-5}{\sqrt{2}}, \frac{-1}{\sqrt{2}} \)
c. \( \frac{5}{\sqrt{2}}, \frac{1}{\sqrt{2}} \)
D. \( \frac{-5}{\sqrt{2}}, \frac{1}{\sqrt{2}} \)
Subject: Physics
An object of mass \( 0.2 \mathrm{kg} \) executes SHM along the \( x \) -axis with frequency
\( (25 / \pi) H z . A t \) the point \( x=0.04 m \) the
object has \( \mathrm{KE} 0.5 \mathrm{J} \) and PE 0.4 J.The amplitude of oscillation (in cm) is
Subject: Chemistry
At a given temperature, total vapour pressure in Torr of a mixture volatile
components A and B is given by
\( \boldsymbol{P}_{\text {Total}}=\mathbf{1 2 0}-\mathbf{7 5 X}_{\boldsymbol{B}} \)
Hence, vapour pressure of pure \( A \) and \( B \) respectively (in Torr) are?
A . 120,75
в. 120, 195
\( c \cdot 120,45 \)
D. 75, 45
Subject: Physics
A rod \( A B \) of mass \( m \) and length \( l \) is positively charged with linear charge density \( \lambda \mathrm{C} / \mathrm{m} \). It is pivoted at end \( \mathrm{A} \) and is hanging freely. If a horizontal electric field \( \boldsymbol{E} \) is switched on in the region, find the angular acceleration of the rod with
which it starts
A \( \cdot \frac{E \lambda}{2 m} \)
в. \( \frac{3 E \lambda}{2 m} \)
c. \( \frac{3 E \lambda}{m} \)
D. zero
Subject: Chemistry
Hydrolysis of one mole of peroxodisulphuric produces:
A. two moles of sulphuric acid.
B. two moles of peroxomonosulphuric acid
c. one mole of sulphuric acid and one mole of peroxomonosulphuric acid.
D. one mole each of sulphuric acid peroxomonosulphuric acid and hydrogen peroxide.