AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
1.6 mole of \( \boldsymbol{P C l}_{5}(\boldsymbol{g}) \) is placed in \( \boldsymbol{4} \boldsymbol{d} \boldsymbol{m}^{3} \)
closed vessel. When the temperature is
raised to \( 500 K \), it decomposes and at
equilibrium 1.2 mole of \( P C l_{5}(g) \)
remains.What is the \( K_{c} \) value for the
decomposition of \( \boldsymbol{P} \boldsymbol{C l}_{\mathbf{5}}(\boldsymbol{g}) \) to \( \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g}) \)
and \( C l_{2}(g) \) at \( 500 K ? \)
\( \mathbf{A} \cdot 0.013 \)
B. 0.050
c. 0.033
D. 0.067
Subject: Physics
Find \( \rho \) using \( a=\frac{-n}{T} \)
\( \mathbf{A} \cdot \rho \propto T^{n} \)
B \( \cdot \rho \propto T^{n-1} \)
c. \( \rho \propto T^{-n} \)
D. \( \rho \propto \frac{n}{T} \)
Subject: Physics
Q Type your question-
and of fixed emf, the resistor \( \boldsymbol{R}_{1} \) has
fixed resistance and the resistance of
resistor \( \boldsymbol{R}_{2} \) can be varied (but \( \boldsymbol{R}_{2} \) is
always nonzero). Then the electric power
delivered to the resistor of resistance
\( R_{1} \) is independent of the value of
resistance \( \boldsymbol{R}_{2} \)
Reason
f potential difference across a fixed
resistance is unchanged, the power delivered to the resistor remains
constant.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
2.5 molar sulphuric acid contains:
This question has multiple correct options
A. \( 29.5 \mathrm{g} \) of sulphuric acid per litre of solution.
B. \( 245.0 \mathrm{g} \) of sulphuric acid per \( 1000 \mathrm{ml} \) of solution.
C. \( 24.5 \mathrm{g} \) of sulphuric acid per \( 100 \mathrm{ml} \) of solution.
D. 59.0 g of sulphuric acid per litre of solution.
Subject: Physics
The electric field associated with an
electromagnetic wave in vacuum is \( \operatorname{givenby}|\overrightarrow{\boldsymbol{k}}|=40 \cos \left(k z-6 \times 10^{8} t\right) \)
where \( E, z \) and \( t \) are in volt per meter,
meter and second respectively. The value of wave vector \( k \) is:
\( \mathbf{A} \cdot 2 m^{-1} \)
B . \( 0.5 m^{-1} \)
\( \mathbf{c} \cdot 3 m^{-1} \)
D. \( 6 m^{-1} \)
Subject: Physics
The potential and electric field in the
above set up if the consecutive charges
have opposite sign is :
A \( \cdot \frac{q}{6 \pi \epsilon_{0}} \) and \( \frac{q}{5 \pi \epsilon_{0}} \)
B. \( \frac{q}{6 \pi \epsilon_{0}} \) and \( \frac{q}{6 \pi \epsilon_{0}} \)
c. \( \frac{q}{5 \pi \epsilon_{0}} \) and \( \frac{q}{6 \pi \epsilon_{0}} \)
D. \( \frac{q}{4 \pi \epsilon_{0}} \) and \( \frac{q}{6 \pi \epsilon_{0}} \)
Subject: Chemistry
Silicon and hydrogen form a series of compounds with general formula
\( \boldsymbol{S} \boldsymbol{i}_{\boldsymbol{x}} \boldsymbol{H}_{\boldsymbol{y}} \cdot \mathbf{A} \boldsymbol{6} .2 \boldsymbol{2} \) g sample of the
compound is burnt in oxygen. All the \( S i \)
is converted to \( 11.64 g \) of \( S i O_{2} \) and all
of the \( H \) is converted to 6.980 gof \( H_{2} O \) What is the value of \( \frac{y}{x} ?(S i=28) \)
Subject: Physics
A conductor AB lies along the axis of a
circular conducting loop \( \mathrm{C} \) of radius \( r . \) If
the current in the conductor AB varies
at the rate of \( x \mathrm{A} / \mathrm{s} \), then the induced
emf in the coil \( C \) is
A \( \cdot \frac{\mu_{0} r x}{2} \)
B \( \cdot \frac{1}{4} \pi r x \)
\( c \cdot \frac{\mu_{0} \pi x r}{2} \)
D. zero
Subject: Chemistry
Which one of the following represents the correct ratio of the energy, of electron in ground state of H atom to
that of the electron in the first excited
state of \( \boldsymbol{L} \boldsymbol{i}^{+} ? \)
A .4: 9
B. 9: 4
\( c \cdot 1: 4 \)
\( D \cdot 4: 1 \)
Subject: Chemistry
The equilibrium constant of the reaction
\( \boldsymbol{C}_{\boldsymbol{u}}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{C} \boldsymbol{u}^{2+}(\boldsymbol{a} \boldsymbol{q})+ \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) ; \boldsymbol{E}^{0}=\mathbf{0 . 4 6} \boldsymbol{V} \boldsymbol{a} \boldsymbol{t} \mathbf{2} \boldsymbol{9} \boldsymbol{8} \boldsymbol{K} \) is:
\( \mathbf{A} \cdot 4.0 \times 10^{15} \)
B . \( 2.4 \times 10^{10} \)
c. \( 2.0 \times 10^{10} \)
D. \( 4.0 \times 10^{10} \)
Subject: Physics
Assertion: The atomic bomb uses the
principle of nulcear fission. Reason: Nuclear fusion reaction
requires high temperatures.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
\( \boldsymbol{S} \boldsymbol{O}_{2} \) reduces \( \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}^{-} \) to \( \boldsymbol{M} \boldsymbol{n}^{2+} . \) Number
of electrons involved in the reduction of
\( M n O_{4}^{-} \) to \( M n^{2+} \) is :
Subject: Physics
The dimensions of electromotive force
in terms of current A are
\( \mathbf{A} \cdot\left[M T^{-2} A^{-2}\right] \)
B . \( \left[M L^{2} T^{-2} A^{2}\right] \)
\( \mathrm{c} \cdot\left[M L^{2} T^{-2} A^{-2}\right. \)
D \( \cdot\left[M L^{2} T^{-3} A^{-1}\right] \)
Subject: Physics
Two straight segments of wire \( a b \) and \( b c \)
each carrying current \( I \), are parallel as
shown in fig. The cube edge is \( 50 \mathrm{cm} \) and magnetic field is uniform along \( Y \)
axis having magnitude 0.4 T. If \( \boldsymbol{I}=\mathbf{3} \boldsymbol{A} \)
the force experienced by wire abc in the
presence of magnitude field is :
A . \( 0.6 \hat{i} \)
B . \( 1.2(\hat{i}+\hat{k}) \)
c. \( 0.6(\sqrt{2} \hat{\imath}+\hat{j}-\sqrt{2} \hat{k} \)
D. \( 0.6(\sqrt{2 i}-\hat{k}) \)
Subject: Physics
In an experiment to determine e/m using Thomson's method, electrons from the cathode accelerate through a
potential difference of \( 1.5 \mathrm{kV} \). The beam
coming out of the anode enters crossed
electric and magnetic field of strengths
\( 2 \times 10^{4} V / m \) and \( 8.6 \times 10^{-4} T \)
respectively, The value of e/m.of
electron will be
A \( \cdot 1.6 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
B . \( 1.7 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
C \( .1 .8 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
D. \( 1.9 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
Subject: Chemistry
IUPAC name for \( \left[C o C l_{2}(e n)_{2}\right]_{2} S O_{4} \) is
A. Dichloridobis(ethylenediamine)cobalt (II) sulphate
B. Dichloridobis(ethylenediamine)cobalt (I) sulphate
C. Dichloridoethylenediaminecobalt (III) sulphate
D. Dichloridobis(ethylenediamine)cobalt (III) sulphate
Subject: Physics
A particle is executing simple harmonic motion between extreme positions
given by \( (-1 .-2 .-3) \mathrm{cm} \) and
\( (1,2,1) c m . \) Its amplitude of oscillation is :
\( A \cdot 6 c m \)
в. 4 ст
\( c .2 c m \)
D. \( 3 c m \)
Subject: Maths
Assertion(A): Let \( \boldsymbol{f}(\boldsymbol{x}) \) be twice
differentiable function such that
\( \boldsymbol{f}^{\prime \prime}(\boldsymbol{x})=-\boldsymbol{f}(\boldsymbol{x}) \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{g}(\boldsymbol{x}) . \) If
\( \boldsymbol{h}(\boldsymbol{x})=[\boldsymbol{f}(\boldsymbol{x})]^{2}+[\boldsymbol{g}(\boldsymbol{x})]^{2} \) and \( \boldsymbol{h}(\mathbf{1})=\mathbf{8} \)
\( \operatorname{then} h(2)=8 \)
Reason (R): Derivative of a constant
function is zero.
A. Both A and R are true R is correct reason of A
B. Both A and R are true R is not correct reason of A
c. A is true but R is false
D. A is false but R is true
Subject: Maths
If \( f(x)=\frac{x^{3}+x^{2}-16 x+20}{(x-2)^{2}}, \) if \( x \neq 2 \)
\[
=k, \quad \text { if } x=2
\]
is continuous at \( x=0 \) then
\( \mathbf{A} \cdot k=2 \)
B. \( k=0 \)
c. \( k=20 \)
\( \mathbf{D} \cdot k=7 \)
Subject: Physics
Let \( f=50 \mathrm{Hz}, \) and \( \mathrm{C}=100 \mu \mathrm{F} \) in an \( \mathrm{AC} \)
circuit containing a capacitor only. If the peak value of the current in the circuit is \( 1.57 \mathrm{A} \) at \( \mathrm{t}=0 . \) The expression for the instantaneous voltage across the capacitor will be:
A \( . E=50 \sin (100 \pi t-\pi / 2) \)
В. \( E=100 \sin (50 \pi t) \)
c. \( E=50 \sin \pi t \)
D. \( E=50 \sin (100 \pi t+\pi / 2) \)
Subject: Maths
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{4} \) find \( \boldsymbol{y} \) in terms of \( \boldsymbol{x} \)
Subject: Physics
The length of the tube of a compound microscope \( 15 \mathrm{cm} . \) The focal length of objective and eye lenses are \( 1 \mathrm{cm} \) and \( 5 \mathrm{cm} \) respectively. The magnifying power of microscope for relaxed vision is:
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
B. \( 75 \mathrm{cm} \)
\( \mathbf{c} \cdot 25 c m \)
D. \( 100 \mathrm{cm} \)
Subject: Maths
Let \( z_{1} \) and \( z_{2} \) be complex numbers, then
\( \left|z_{1}+z_{2}\right|^{2}+\left|z_{1}-z_{2}\right|^{2} \) is equal to
A \( \cdot\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \)
B \( \cdot 2\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}\right) \)
c. \( 2\left(z_{1}^{2}+z_{2}^{2}\right) \)
D. \( 4 z_{1} z_{2} \)
Subject: Physics
A stretched string is vibrating
according to the equation \( \boldsymbol{y}= \)
\( 5 \sin \left(\frac{\pi x}{3}\right) \cos 400 \pi t, \) where \( y \) and a are
in \( \mathrm{cm} \) and \( t \) is second. Potential energy
will be zero at time t:-
A . 2 s
B. 4 s
\( c \cdot 8 s \)
D. 16 s
Subject: Chemistry
Solubility product of \( B a(O H)_{2} \) and
\( A l(O H)_{3} \) are \( 1.8 \times 10^{-10} \) and \( 2.4 \times \)
\( 10^{-20} \) respectively. If both \( A l^{+3} \) and
\( B a^{+2} \) ions are present is a solution,
which one will be ppt on addition of ammonium hydroxide solution
A \( \cdot \operatorname{Ba}(O H)_{2} \)
в. \( _{A l}(O H)_{3} \)
c. Both are precipitated at same time
D. Both are not precipitated
Subject: Maths
Evaluate
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{e}^{\boldsymbol{x}} \boldsymbol{\operatorname { s i n }} \boldsymbol{x}}{\left(\boldsymbol{x}^{2}+\boldsymbol{2}\right)^{3}} \)
Subject: Physics
The region between \( \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\boldsymbol{L} \) is
filled with uniform, steady magnetic field \( B_{0} \hat{k} . \) A particle of mass \( m, \) positive charge \( q \) and velocity \( v_{0} \hat{i} \) travels along
x-axis and enters the region of magnetic field. Neglect gravity throughout the question. The field now
extends up to \( x=2.1 L \) If the time
spent by the particle in the magnetic field is \( T=\frac{\pi m}{X \times q B_{0}} . \) Find \( X ? \)
Subject: Maths
The rational number equivalent to the rational number \( \frac{\mathbf{7}}{\mathbf{1 9}} \) is:
A \( \cdot \frac{17}{119} \)
в. \( \frac{14}{57} \)
c. \( \frac{21}{38} \)
D. \( \frac{21}{57} \)
Subject: Maths
\( \left|z_{1}+z_{2}\right|=\left|z_{1}\right|+\left|z_{2}\right| \) is possible if
A \( \cdot z_{2}=\overline{z_{1}} \)
в. \( _{z_{2}}=\frac{1}{z_{1}} \)
\( \mathbf{c} \cdot \arg z_{1}=\arg z_{2} \)
D \( \cdot\left|z_{1}\right|=\left|z_{2}\right| \)
Subject: Chemistry
The van't Hoff factor for a dilute solution
of \( \boldsymbol{K}_{3}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) is likely to be:
A . 10
B. 4
\( c \cdot \frac{1}{4} \)
D.
Subject: Physics
Young's double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe
widths recorded are \( \beta_{G}, \beta_{R}, \beta_{B} \) respectively. Then
\( \mathbf{A} \cdot \beta_{G}>\beta_{B}>\beta_{R} \)
в. \( \beta_{B}>\beta_{G}>\beta_{R} \)
c. \( \beta_{R}>\beta_{B}>\beta_{G} \)
D. \( \beta_{R}>\beta_{G}>\beta_{B} \)
Subject: Maths
\( \operatorname{Let} A=\{1,2,3\}, B=\{4,5,6,7\} \) and
let \( \boldsymbol{f}=\{(\mathbf{1}, \boldsymbol{4}),(\mathbf{2}, \mathbf{5}),(\mathbf{3}, \mathbf{6})\} \) be a
function from \( A \) to \( B \). State whether \( f \) is
one-one or not.
Subject: Maths
If \( \tan \theta=\frac{x \sin \phi}{1-x \cos \phi}, \tan \phi= \)
\( \frac{y \sin \theta}{1-y \cos \theta}, \) then \( \frac{x}{y}= \)
A. \( \frac{\sin \phi}{\sin \theta} \)
B. \( \sin \theta \)
sin \( \phi \)
c. \( \frac{1-\cos \phi}{1-\cos \theta} \)
D. \( \frac{1-\cos \theta}{1-\cos \phi} \)
Subject: Chemistry
Based on the following reaction and
rate data:
\( \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}) \rightarrow \) products
and ) Experiment \( \quad \begin{array}{lll}{[A]} & {[B]} & \text { Initial } \\ \mathrm{mol} / \mathrm{L} & \mathrm{mol} / \mathrm{L} & \begin{array}{l}\text { Rate } \\ (\mathrm{M} / \mathrm{s})\end{array}\end{array} \) 0.040 \( \begin{array}{ccc}1 & 0.060 & 0.010 \\ 2 & 0.030 & 0.010 \\ 3 & 0.030 & 0.020\end{array} \) 0.040 0.080
What is the order of the reaction with
respect to \( \boldsymbol{B} ? \)
\( A \cdot O \)
B.
\( c \cdot 2 \)
D. 3
\( E \cdot 4 \)
Subject: Physics
The force on a hemisphere of radius 1
\( \mathrm{cm} \) if a parallel beam of monochromatic light of wavelength 500 nm. falls on it with an intensity of \( 0.5 \mathrm{W} / \mathrm{cm}^{2}, \) striking the curved surface in a direction which
is perpendicular to the flat face of the hemisphere is:
(Assume the collisions to be perfectly inelastic)
A. \( 5.2 \times 10^{-13} N \)
В. \( 5.2 \times 10^{-12} N \)
\( \mathrm{c} \cdot 5.22 \times 10^{-9} \mathrm{N} \)
D. 0 n
Subject: Biology
Oxyhaemoglobin is converted into haemoglobin during the internal respiration because
A. An enzyme splits oxyhaemoglobin
B. Oxygen tension in tissues is less than capillary blood reaching tissues
\( \mathrm{c} \cdot \mathrm{c} \mathrm{O}_{2} \) tension is low in blood that reaches tissues
D. Oxyhaemoglobin is unstable
Subject: Maths
If \( f(x)=\lim _{n \rightarrow \infty}\left[2 x+4 x^{3}+\dots \dots+\right. \)
\( \left.2 n x^{2 n-1}\right](0<x<1) \) then \( \int f(x) d x \) is
equal to
A. \( -\sqrt{1-x^{2}}+ \) constant
в. \( \frac{1}{\sqrt{1-x^{2}}}+ \) constant
c. \( \frac{1}{x^{2}-1}+ \) constant
D. \( \frac{1}{1-x^{2}}+ \) constant
Subject: Maths
\( \left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{array}\right] \)
The new matrix obtained after adding
\( 2^{n d} \) row to 3 times \( 3^{r d} \) row is
A \( \cdot\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6 \\ 25 & 29 & 33\end{array}\right] \)
В \( \cdot\left[\begin{array}{ccc}1 & 2 & 3 \\ 25 & -29 & -33 \\ 4 & 5 & 6\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{lll}1 & 2 & 3 \\ 7 & 8 & 9 \\ 4 & 5 & 6\end{array}\right] \)
D. \( \left[\begin{array}{ccc}1 & 2 & 3 \\ -25 & -29 & -33 \\ 4 & 5 & 6\end{array}\right] \)
Subject: Physics
In a first order reaction the
concentration of reactant decreases
from \( 800 m o l / d m^{3} \) to \( 50 m o l / d m^{3} \) in
\( 2 \times 10^{2} s . \) The rate constant of reaction
\( \operatorname{in} s^{-1} \) is:
\( A \cdot 2 \times 10^{4} \)
B . \( 3.45 \times 10^{-5} \)
c. \( 1.386 \times 10^{-2} \)
D. \( 2 \times 10^{-4} \)
Subject: Chemistry
The number of electrons delivered at the
cathode during electrolysis by a current
of 1 ampere in 60 seconds is :
(charge on an electron is \( 1.60 \times \) \( \left.10^{-19} C\right): \)
\( \mathbf{A} \cdot 3.75 \times 10^{20} \)
B . \( 7.48 \times 10^{23} \)
\( c \cdot 6 \times 10^{23} \)
D. \( 6 \times 10^{20} \)
Subject: Maths
n figure, \( A C=13 \mathrm{cm}, B C=12 \mathrm{cm}, \) then
\( \sec \theta \) equals:
A \( \cdot \frac{13}{12} \)
B. \( \frac{5}{12} \)
c. \( \frac{12}{13} \)
D. \( \frac{5}{13} \)
Subject: Chemistry
These ions have the same number of
electrons.
A. \( M g^{+} \) and \( F^{+} \)
B. \( L i \) and \( N e \)
\( c \cdot O^{2-} \) and \( O^{-} \)
D. \( N \) and \( P^{3-} \)
E \( \cdot C a^{2+} \) and \( C l^{-} \)
Subject: Physics
Area of parallelogram, whose diagonals \( \operatorname{are} 3 \hat{i}+\hat{j}-2 \hat{k} \) and \( \hat{i}-3 \hat{j}+4 \hat{k} \) will be
:
A. 14 unit
B. \( 5 \sqrt{3} \) unit
c. \( 10 \sqrt{3} \) unit
D. \( 20 \sqrt{3} \) unit
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=[\boldsymbol{x}]+\left[\boldsymbol{x}+\frac{1}{3}\right]+\left[\boldsymbol{x}+\frac{2}{3}\right], \) then
([.] denotes the greatest integer
function)
A. \( f(x) \) is discontinuous at \( x=1,10,15 \)
в. \( \lim _{x \rightarrow \frac{2}{3}} f(x)=2 \)
\( ^{\mathbf{c}} \cdot \int_{0}^{2 / 3} f(x) d x=\frac{1}{3} \)
D. \( f(x) \) is continuous at \( x=\frac{n}{3} \), where \( n \) is any intege
Subject: Chemistry
Which is the coloured ion?
\( \mathbf{A} \cdot\left[C u(C N)_{4}\right]^{3} \)
B . \( \left[S c\left(H_{2} O\right)_{6}\right]^{3+} \)
\( \mathbf{c} \cdot\left[M n\left(H_{2} O\right)_{6}\right]^{3+} \)
D. All of these
Subject: Maths
Rationalising the denominator of \( \frac{5}{\sqrt{3}-\sqrt{5}} \) is -
A \( \cdot\left(\frac{5}{2}(\sqrt{3}+\sqrt{5})\right. \)
B \( \cdot\left(-\frac{5}{2}(\sqrt{3}+\sqrt{5})\right. \)
c. \( \left(\frac{5}{2}(\sqrt{3}-\sqrt{5})\right. \)
D \( \cdot\left(-\frac{5}{2}(\sqrt{3}-\sqrt{5})\right. \)
Subject: Chemistry
A constant valume gas thermometer shows pressure reading of \( 50 \mathrm{cm} \) and
\( 90 \mathrm{cm} \) of mercury at \( 0^{0} \mathrm{C} \) and \( 100^{0} \mathrm{C} \)
respectively. When the pressure reading
is \( 60 \mathrm{cm} \) of mercury, the temperature is:-
\( \mathbf{A} \cdot 25^{0} C \)
в. \( 40^{\circ} \mathrm{C} \)
c. \( ^{\circ} \mathrm{C} \)
D. \( 30^{\circ} \mathrm{C} \)
Subject: Maths
\( \left[\begin{array}{ll}\boldsymbol{x}+\boldsymbol{y} & \boldsymbol{2} \\ \boldsymbol{5}+\boldsymbol{z} & \boldsymbol{x} \boldsymbol{y}\end{array}\right]=\left[\begin{array}{ll}\boldsymbol{6} & \boldsymbol{2} \\ \boldsymbol{5} & \boldsymbol{8}\end{array}\right] \)
Find \( \boldsymbol{x} \boldsymbol{y} \boldsymbol{z} ? \)
Subject: Chemistry
White phosphorous reacts with limited chlorine and the product is hydrolyzed in the presence of water. What would be the mass of HCl obtained by the
hydrolysis of the product formed by the reaction of 62 g of white phosphorus with chlorine in the presence of water?
A. 200 g
B. 400 g
c. \( 219 \mathrm{g} \)
D. 100 g
Subject: Chemistry
A sample of 0.25 g of organic compound was treated according to Kjeldahl's method. The ammonia evolved was
absorbed in \( 25 \mathrm{ml} \) of \( 0.25 \mathrm{M} H_{2} C O_{4} \). The
residual acid required \( 60 \mathrm{mL} \) of \( 0.25 \mathrm{M} \) solution of NaOH for neutralisation. Find
the percentage composition of nitrogen in the compound.
Subject: Maths
If \( \cos x=\sqrt{1-\sin 2 x}, 0 \leq x \leq \pi, \) then
possible value of \( x \) is
This question has multiple correct options
A . \( \pi \)
B.
\( c \cdot \tan ^{-1} 2 \)
D. \( 3 \pi \)
Subject: Physics
Our body temperature cannot fall below:
\( \mathbf{A} \cdot 37^{\circ} C \)
B \( .35^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 40^{\circ} \mathrm{C} \)
D. \( 42^{\circ} \mathrm{C} \)
Subject: Physics
Two stars have masses \( 5 \times 10^{30} \mathrm{kg} \) and
\( 7.5 \times 10^{30} \) kg respectively. If they
ultimately convert into black holes, the ratio of Schwarzschild radius of the
black holes is
A .2: 3
B. 4: 9
\( c \cdot 3: 2 \)
D. 9: 4
Subject: Physics
Wave pulse on a string shown in the
figure is moving to the right without
changing shape. Consider two particles
at positions \( x_{1}=1.5 m \) and \( x_{2}= \)
2.5 \( m . \) Their transverse velocities at the
moment shown in the figure are along
the
A. positive y axis and positive y axis respectively
B. negative y axis and positive y axis respectively
C. positive y axis and negative y axis respectively
D. negative y axis and negative y axis respectively
Subject: Chemistry
For an ideal solution, the correct option
is :
A \( \cdot \Delta_{\operatorname{mix}} S=0 \) at constant T and \( \mathrm{P} \)
B. \( \Delta_{\operatorname{mix}} V \neq 0 \) at correct T and P
C. \( \Delta_{\operatorname{mix}} H=0 \) at constant \( \mathrm{T} \) and \( \mathrm{P} \)
D. \( \Delta_{\text {mix}} G=0 \) at constant T and \( P \)
Subject: Maths
Let \( S \) be the infinite sum given by \( S= \) \( \sum_{n=0}^{\infty} \frac{a_{n}}{10^{2 n}}, \) where \( \left(a_{n}\right)_{n \geq 0} \) is a sequence
defined by \( a_{0}=a_{1}=1 \) and \( a_{j}= \)
\( 20 a_{j-1} \) for \( j \geq 2 . \) If \( S \) is expressed in the form \( \frac{a}{b}, \) where \( a, b \) are coprime positive
integers, than \( a \) equals.
A . 60
B. 75
c. 80
D. 81
Subject: Chemistry
If \( x \) is the temperature \( \left(\text { in }^{\circ} C\right) \) at which
liquid \( H_{2} O \) will be in equilibrium with its vapours \( (\Delta H \quad \text { and } \quad \Delta S \) for vaporization are \( 40.7 k J m o l^{-1} \) and \( \left.0.11 k J m o l^{-1} K^{-1} \text {respectively }\right), \) then \( x \) is:
Subject: Chemistry
Assertion
Statement \( -1: d_{o-o} \) in \( O_{2} F_{2} \) and \( O_{2} \)
molecules are almost same.
Reason
Statement \( -2: O_{2} F_{2} \) exists as ion pair
structure of \( \left[\boldsymbol{O}_{2} \boldsymbol{F}\right]^{+}[\boldsymbol{F}]^{-} \) form and
achieves the bond length closer to \( \boldsymbol{O}_{2} \)
molecule.
A. Statement -1 is true, Statement -2 is true and Statement - 2 is correct explanation for Statement
1
B. Statement - 1 is true, Statement - 2 is true and Statement - 2 is NOT the correct explanation for Statement - 1.
c. Statement -1 is true, Statement -2 is false.
D. Statement -1 is false, Statement -2 is true
Subject: Biology
Match the column and choose the
a ppropriate match
\begin{tabular}{lllll} 
List I & \multicolumn{3}{l} { List II } \\
A & 4C Compound & 1 & Acetyl Co-A \\
B & 2C Compound & 2 & Pyruvate \\
C & 5C Compound & 3 & Citric acid \\
D & 3C Compound & 4 acid & \( \alpha \) -keto glutaric Malic acid
\end{tabular}
\( A \)
\( A-5, B-1, C-4, D-2 \)
2
B. \( A-5, B-4, C-1, D-2 \)
C. \( A-1, B-5, C-4, D-2 \)
D. A- 5, B-1, C- 2, D-
Subject: Physics
Two loudspeakers \( L_{1} \) and \( L_{2} \) driven by a
common oscillator and amplifier, are
arranged as shown. The frequency of the oscillator is gradually increased from
zero and the detector at \( D \) records a
series of maxima and minima. If the
speed of sound is 330 ms \( ^{-1} \) then the frequency at which the first maximum
is observed is:
A. \( 165 \mathrm{Hz} \)
В. \( 330 H z \)
\( \mathbf{c} \cdot 495 H z \)
D. \( 660 H z \)
Subject: Maths
If \( \boldsymbol{A}=\{\mathbf{5}, \mathbf{7}\}, \boldsymbol{B}=\{\mathbf{7}, \mathbf{9}\} \) and \( \boldsymbol{C}= \)
\( \{7,9,11\}, \) find
Whether \( \boldsymbol{A} \times(\boldsymbol{B} \cup \boldsymbol{C})=(\boldsymbol{A} \times \boldsymbol{B}) \cup \)
\( (A \times C) \) holds true or not?
Subject: Maths
State true or false:
In a square \( A B C D \), diagonals meet at
O. \( P \) is a point on \( B C \) such that \( O B= \)
\( B P, \) then
\( \angle P O C=\left(22 \frac{1}{2}\right)^{0} \)
A. True
B. False
Subject: Maths
\( 1+3+6+10+\ldots \) upto \( n \) terms is equal to
A \( \cdot \frac{1}{3} n(n+1)(n+2) \)
B \( \cdot \frac{1}{6} n(n+1)(n+2) \)
c. \( \frac{1}{12} n(n+2)(n+3) \)
D \( \cdot \frac{1}{12} n(n+1)(n+2) \)
Subject: Chemistry
Equilibrium constant for an equilibrium reaction is \( 100 . \) Its forward reaction rate constant \( \boldsymbol{K}_{\boldsymbol{f}}=\mathbf{1 0}^{\mathbf{5}} . \) Its
backward reaction rate constant \( \boldsymbol{K}_{\boldsymbol{b}} \) is;
A \( \cdot 10^{2} \)
B. 10
\( c \cdot 10^{4} \)
D. \( 10^{3} \)
Subject: Biology
Assertion
Glycolysis is the first step of respiration, where glucose completely
breaks into \( \mathrm{CO}_{2} \) and \( \mathrm{H}_{2} \mathrm{O} \)
Reason
In this process, there is net gain of twenty four molecules of ATP.
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
The side of a rhombus is \( 26 m \) and
length of one of its diagonal is 20 m. The
area of the rhombus is
A \( \cdot 120 m^{2} \)
В. \( 240 \mathrm{m}^{2} \)
c. \( 480 m^{2} \)
D. None