AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If the product of the first four consecutive terms of a G.P is 256 and if
the common ratio is 4 and the first term
is positive, then its \( 3^{r d} \) term is
\( A \cdot 8 \)
B. \( \frac{1}{16} \)
c. \( \frac{1}{32} \)
D. 16
Subject: Biology
The diagram represents the cell cycle.
Compared to a cell in the \( \mathrm{G}_{2} \) phase, \( \mathrm{a} \)
cell in the \( G_{1} \) phase has
A. Twice as much DNA
B. Half as much DNAA
C. Twice as many centromeres
D. Half as many centromeres
E. Twice as many chromosomes
Subject: Physics
When the tension in a metal wire is \( T_{1} \)
its length is \( l_{1} \). When the tension is \( T_{2} \)
its length is \( l_{2} \). The natural length of
wire is
\( ^{\mathbf{A}} \cdot \frac{T_{2}}{T_{1}}\left(l_{1}+l_{2}\right) \)
в. \( T_{1} l_{1}+i_{2} l_{2} \)
c. \( \frac{l_{1} T_{2}-l_{2} T_{1}}{T_{2}-T_{1}} \)
D. \( \frac{l_{1} T_{2}+l_{2} T_{1}}{T_{2}+T_{1}} \)
Subject: Physics
If the velocity of light \( C, \) the universal
gravitational constant \( G, \) and Planck's
constant \( h \) are chosen as fundamental
units, the dimension of mass in this
system are
A \( \cdot h^{1 / 2} C^{1 / 2} G^{-1 / 2} \)
\( \mathbf{B} \cdot h^{-1} C^{-1} G \)
\( c \cdot h C G^{-1} \)
D. \( h C G \)
Subject: Chemistry
Select the correct statement(s):
A. The celsius scale is the fundamental unit of the
temperature scale.
B. Kelvin scale defined as 273.16 of the triple point (equilibrium among the solid, liquid, and gaseous phases) of pure water
C \( \cdot \) It is defined as \( \frac{1}{273.16} \) of the triple point (equilibrium among the solid, liquid, and gaseous phases) of pure water.
D. None of these
Subject: Physics
A convex lens forms an image of an object on a screen. The height of the image is \( 9 \mathrm{cm} . \) The lens is now displaced until an image is again obtained on the screen. The height of this image is \( 4 \mathrm{cm} . \) The distance
between the object and the screen is 90
\( \mathrm{cm} \)
A. The distance between the two positions of the lens is 30 \( \mathrm{cm} \)
B. The distance of the object from the lens in its first position is 36 \( \mathrm{cm} \)
c. The height of the object is \( 6 \mathrm{cm} \)
D. The focal length of the lens is 21.6 \( \mathrm{cm} \)
Subject: Maths
If \( \int\left(x^{3}-2 x^{2}+3 x-1\right) \cos 2 x d x \)
\( =\frac{\sin 2 x}{4} u(x)+\frac{\cos 2 x}{8} v(x)+C \) then
\( \mathbf{A} \cdot u(x)=x^{3}-4 x^{2}+3 x \)
B . \( u(x)=2 x^{3}-4 x^{2}+3 x \)
C \( \cdot u(x)=3 x^{3}-4 x+3 \)
D \( \cdot v(x)=6 x^{2}-8 x \)
Subject: Maths
The point at which the tangent to the
curve \( y=x^{3}+5 \) is perpendicular to
the line \( x+3 y=2 \) are
A. (6,1),(-1,4)
В. (6,1)(4,-1)
c. (1,6),(1,4)
D. (1,6),(-1,4)
Subject: Physics
The \( n \) rows each contaning in cells in
series are joined in parallel. Maximum current is taken from this combination
across an external resistance of \( 3 \Omega \). If
the total number of cells used is 24 and
internal resistance of each cell is \( 0.5 \Omega \)
then
A. \( m=8, n=3 \)
в. \( m=6, n=4 \)
c. \( m=12, n=2 \)
D. \( m=2, n=12 \)
Subject: Maths
The number of ordered pairs \( (\boldsymbol{m}, \boldsymbol{n}) \)
where \( \boldsymbol{m}, \boldsymbol{n} \in\{1,2,3, \ldots, 50\}, \) such
that \( 6^{m}+9^{n} \) is a multiple of 5 is
A . 1250
B. 2500
\( c .625 \)
D. 500
Subject: Chemistry
Chemical formula of washing soda is:
A. \( N a_{2} C O_{3} \)
в. \( N a_{2} C O_{3} .10 H_{2} O \)
c. \( N a_{2} C O_{3} .5 H_{2} O \)
D. \( N a_{2} S O_{4} .10 H_{2} O \)
Subject: Chemistry
A hard water sample has 131 ppm
CaSO \( _{4} \). What fraction of the water
must be evaporated in a container
before solid \( C a S O_{4} \) begins to deposit. \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C a} \boldsymbol{S} \boldsymbol{O}_{4}=\boldsymbol{9} \cdot \boldsymbol{0} \times \boldsymbol{1} \boldsymbol{0}^{-\boldsymbol{6}} \)
\( \mathbf{A} \cdot 52 \)
B. 68
c. 85
D. 42
Subject: Chemistry
The correct molecular formula of the
following complexes are:
(a) Pentamminechlorocobalt (III) ion
(b) Lithium tetrahydroaluminate (III)
A \( \cdot(a)\left[C o\left(N H_{3}\right)_{5} C l\right]^{2+} ;(b) L i\left[A l H_{4}\right] \)
B . \( (a)\left[C o\left(N H_{3}\right)_{5} C l\right]^{3+} ;(b) L i_{2}\left[A l H_{4}\right] \)
C \( \cdot(a)\left[C o\left(N H_{3}\right)_{5} C l\right]^{2-} ;(b) L i_{4}\left[A l H_{4}\right. \)
D. None of these
Subject: Maths
Given \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}+\mathbf{2}}{\mathbf{5}} \) for \( \operatorname{gof}(\boldsymbol{x})=\boldsymbol{x}-\mathbf{3} \)
find \( \boldsymbol{g} \)
Subject: Physics
The steel balls \( A \) and \( B \) have a mass of
\( 500 g \) each and are rotating about the
vertical axis with an angular velocity of
4 rad/s at a distance of \( 15 C M \) from
the axis. Collar \( C \) is now forced down
until the balls are at a distance of
\( 5 C M \) from the axis. How much work
must be done to move the collar down?
Subject: Chemistry
The equilibrium constant for the
reaction: \( N_{2(g)}+3 H_{2(g)} \rightleftharpoons 2 N H_{3(g)} \) at
\( \mathbf{7} 15 K, \) is \( 6.0 \times 10^{-2} . \) If, in a particular
reaction, there are 0.25 mol \( L^{-1} \) of \( H_{2} \)
and \( 0.06 m o l L^{-1} \) of \( N H_{3} \) present
calculate the concentration of \( N_{2} \) at
equilibrium.
Subject: Chemistry
Ten millilitres of a gaseous hydrocarbon was exploded with oxygen. After the explosion, there was a contraction of 20 \( \mathrm{ml} \) in volume. On shaking the residual gaseous mixture with \( \mathrm{KOH} \), there was a
further concentration of \( 20 \mathrm{ml} \) in
volume. Molecular formula is \( \boldsymbol{C}_{\boldsymbol{x}} \boldsymbol{H}_{\boldsymbol{y}} \cdot \) All
the volumes were recorded at the same
temperature and pressure. Here \( \mathbf{x}+\mathbf{y} \) is:
Subject: Physics
The magnetic field of a given length of wire carrying a current for a single turn cicular coil at center is \( \mathrm{B} \), then its value
for two turns for the same wire when
same current passing through it is
A \( \cdot \frac{B}{4} \)
в. \( \frac{B}{2} \)
\( c .2 B \)
D. \( 4 B \)
Subject: Physics
manometer M as shown. The stop cock
S controls the flow of air. AB is dipped
into a liquid whose surface tension is \( \sigma \)
On opening the stop cock for a while, a
bubble is formed at \( \mathrm{B} \) and the
manometer level is recorded, showing a
difference \( h \) in the levels in the two
arms. If \( \rho \) be the density of manometer
liquid and \( r \) the radius of curvature of
the bubble, then the surface tension \( \sigma \)
of the liquid is given by
\( \mathbf{A} \cdot \rho h r g \)
B. 2 phrg
c. 4 phrg
D. \( \frac{r h \rho g}{4} \)
Subject: Chemistry
Identify the incorrect statement.
A. Orbitals of a subshell have same value of \( (n+l) \) but
the orbitals having same \( (n+l) \) value may not belong
to the same subshell
B. The orbital having value of \( l=2 \) will have 2 orientations in space
C. \( 3 p \) and \( 3 d \) orbitals have directional character
D. Orbits in Bohr's model are two dimensional in nature
E. All are correct
Subject: Maths
\( \mathbf{f}(\mathbf{x})=\frac{\mathbf{a x}+\mathbf{b}}{\mathbf{c x}+\mathbf{d}}(\boldsymbol{a d}-\boldsymbol{b c} \neq \mathbf{0}) \)
A. Has a maximum
B. Has a minimum
c. Neither max nor min is true
D. Both max and min are true
Subject: Chemistry
How many oxygen atoms are there in
0.5 mole of \( K H S O_{4} ? \)
A \( \cdot 1.2 \times 10^{23} \)
B . \( 2.4 \times 10^{23} \)
c. \( 3.0 \times 10^{23} \)
D. \( 1.2 \times 10^{24} \)
E \( .2 .4 \times 10^{24} \)
Subject: Chemistry
Identify the correct match(es) in the
following table:
\( \begin{array}{ll}\text { Element } & \text { Column A } \\ \text { Sodium } & \text { Non-metal } \\ \text { Sulphur } & \text { Lanthanide } \\ \text { Manganese } & \text { Metal } \\ \text { Cerium } & \text { Transition metal }\end{array} \)
A. Sodium- Metal
B. Sulphur- Non metal
c. Manganese- Transition metal
D. all of these
Subject: Maths
Divide: \( \left(6 a^{5}+8 a^{4}+8 a^{3}+2 a^{2}+\right. \)
\( 26 a+35) \) by \( \left(2 a^{2}+3 a+5\right) \)
Answer: \( 3 a^{3}-3 a^{2}+a+7 \)
A . True
B. False
Subject: Physics
The pressure of a gas filled in a closed vessel increases by \( 0.4 \% . \) When
temperature is increases by \( 1^{\circ} \mathrm{C} \) the initial temperature of the gas is
\( A \cdot 250^{\circ} \mathrm{C} \)
B. 250 K
c. \( 250^{\circ} \mathrm{F} \)
D. 2500 \( ^{\circ} \)
Subject: Physics
A light weight boy holds two heavy dumbbells of equal masses with outstretched arms while standing on a
turn-table which is rotating at an
angular frequency \( \omega_{1} \) when the
dumbbells are at distance \( r_{1} \) from the
axis of rotation. The boy suddenly pulls
the dumbbells towards his chest until
they are at distance \( r_{2} \) from the axis of rotation. The new angular frequency of
rotation \( \omega_{2} \) of the turn-table will be
equal to
A \( \cdot \omega_{1} \frac{r_{2}}{r_{1}} \)
В. \( _{\omega_{1}} \frac{r_{1}^{2}}{r_{2}^{2}} \)
c. \( _{\omega_{1}} \frac{r_{1}}{r_{2}} \)
D. \( _{\omega_{1}} \frac{r_{2}^{2}}{r_{1}^{2}} \)
Subject: Chemistry
Q Type your question
Iormula \( \cup_{7} \) R \( _{12} \). Un calalytic
hydrogenation, 1 mol of \( C \) absorbs 1
mol of \( \boldsymbol{H}_{2} \) and yields a compound with
the molecular formula of \( C_{7} H_{12} . \) On
ozonolysis and subsequent treatment with zinc and acetic acid, C yields only.
\( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H O} \)
The structure of \( C \) is:
\( A \)
B.
\( c \)
\( D \)
Subject: Physics
Figure shows a uniformly charged
hemisphere of radius R. It has a volume
charge density p. If the electric field at
point \( 2 R, \) above its center is \( E, \) then
what is the electric field at the point \( 2 R \)
below its center?
\( \mathbf{A} \cdot \rho R / 6 \varepsilon_{0}+E \)
\( \mathbf{B} \cdot \rho R / 12 \varepsilon_{0}-E \)
\( \mathbf{c} \cdot-\rho R / 6 \varepsilon_{0}+E \)
\( \mathbf{D} \cdot \rho R / 12 \varepsilon_{0}+E \)
Subject: Physics
The magnitude of the average electric field normally present in the atmosphere just above the surface of
the Earth is about \( 150 N / C \), directed
inward towards the center of the Earth.
This gives the total net surface charge
carried by the Earth to be : [Given \( \epsilon_{0}= \) \( \mathbf{8 . 8 5} \times \mathbf{1 0}^{-12} \mathbf{C}^{2} / \mathbf{N}-\boldsymbol{m}^{2}, \boldsymbol{R}_{E}=\mathbf{6 . 4} \times \)
\( \mathbf{1 0}^{\mathbf{6}} \boldsymbol{m} \)
A \( .+660 k C \)
в. \( -660 k C \)
\( c .-680 k C \)
D. \( +680 k C \)
Subject: Maths
If \( \vec{a}=i+j-k, \vec{b}=1-j+k, \vec{c} \) is a
unit vector such that \( \vec{c} . \vec{a}=0,[\vec{c} \vec{a} \vec{b}]=0 \)
then a unit vectors perpendicular to both \( \vec{a} \) and \( \vec{c} \) is
A \( \cdot \frac{1}{\sqrt{6}}(2 i-j+k) \)
B. \( \frac{1}{\sqrt{2}}(j+k) \)
c. \( \frac{1}{\sqrt{2}}(i+j) \)
D. \( \frac{1}{\sqrt{2}}(i+k) \)
Subject: Physics
Match the following from Table \( A, \) in the
case of gases, with those in Table B.
Table - A Table - B
(a) Work done in isobaric
\[
n R T \log _{e}\left(\frac{V_{2}}{V_{1}}\right)
\]
process
(b) Wok done in isothermal
(e) \( P\left(V_{2}-V_{1}\right) \) process
\( T \)
(c) Work done in adiabatic process \( \frac{n R T\left(T_{1}-T_{2}\right)}{\gamma-1} \)
(g) Zero
\( \mathbf{A} \cdot a \rightarrow h, b \rightarrow g, c \rightarrow e \)
В . \( a \rightarrow e, b \rightarrow d, c \rightarrow g \)
\( \mathbf{c} \cdot a \rightarrow g, b \rightarrow h, c \rightarrow e \)
D \( . a \rightarrow e, b \rightarrow d, c \rightarrow f \)
Subject: Chemistry
Based on the following thermochemical equations
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C}(s) \longrightarrow \boldsymbol{C} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \)
\( \Delta \boldsymbol{H}=\mathbf{1 3 3} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{C O}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -282 k J m o l^{-1} \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -242 k J m o l^{-1} \)
\( \boldsymbol{C}(s)+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( \boldsymbol{x} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m} \boldsymbol{o l}^{-1} \)
The value of \( x \) will be:
A. \( 393.0 \mathrm{KJ} \)
в. \( 655.0 \mathrm{KJ} \)
D. \( -655.0 K J \)
Subject: Physics
A rod of length \( L \) is pivoted at one end and is rotated with a uniform angular
velocity in a horizontal plane. Let \( T_{1} \) and
\( T_{2} \) be tension at the points \( L / 4 \) and
\( 3 L / 4 \) always from the pivoted end. Then
A \( \cdot T_{1}>T_{2} \)
B \( \cdot T_{1}=T_{2} \)
\( \mathbf{c} \cdot T_{1}<T_{2} \)
D. The relation between \( T_{1} \) and \( T_{2} \) depends on whether the rod rotates clockwise or anticlockwise
Subject: Physics
Assertion
A car moving on a horizontal rough road with velocity \( v \) can be stopped in a minimum distance \( d \). If the same car
moving with same speed \( v \) takes a circular turn, then minimum safe
radius can be \( 2 d \)
Reason
\( d=\frac{v^{2}}{2 \mu g} \) and minimum safe radius \( = \) \( \boldsymbol{v}^{2} \)
\( \mu g \)
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 is incorrect and Reason is correct
Subject: Chemistry
The equilibrium constant \( \boldsymbol{K}_{c} \) for the
reaction \( P_{4}(g) \rightleftharpoons 2 P_{2}(g) \)
is 1.4 at \( 400^{\circ} \mathrm{C} . \) Suppose that 3 moles of
\( P_{4}(g) \) and 2 moles of \( P_{2}(g) \) are mixed in
2 litre container at \( 400^{\circ} \mathrm{C} \). What is the
value of reaction quotient \( \left(Q_{c}\right) ? \)
\( A \cdot \frac{3}{2} \)
B. \( \frac{2}{3} \)
c. 1
D. None of these
Subject: Physics
A converging beam of the light forms a sharp image on a screen. A lens is placed in the path of the beam, the lens being \( 10 \mathrm{cm} \) from the screen. It is found
that the screen has to be moved \( 8 \mathrm{cm} \)
further away from the lens to obtain a sharp image. Find the focal length and nature of lens.
A. \( 12.5 \mathrm{cm} \)
B. \( 20 \mathrm{cm} \)
\( c .13 \mathrm{cm} \)
D. 22.5 \( c m \)
Subject: Chemistry
Rate of disappearance of the reactant \( \mathbf{A} \) at two different temperature is given by \( \boldsymbol{A} \rightleftharpoons \boldsymbol{B} \)
\( \frac{-d[A]}{d t}=\left(2 \times 10^{-2} S^{-1}\right)[A]-4 \times \)
\( \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{S}^{-\mathbf{1}}[\boldsymbol{B}] ; \mathbf{3 0 0} \boldsymbol{K} \)
\( \frac{-d[A]}{d t}=\left(4 \times 10^{-2} S^{-1}\right)[A]-16 \times \)
\( \mathbf{1 0}^{-4} \boldsymbol{S}^{-1}[\boldsymbol{B}] ; \mathbf{4 0 0} \boldsymbol{K} \)
Calculate heat of reaction in the given temperature range, when equilibrium is
set up.
A. \( 8.03 \mathrm{kJ} \)
B. 16.06 k
c. 32.12 k
D. None of these
Subject: Maths
f \( a, b, c>1, \Delta= \)
\( \left|\begin{array}{ccc}\log _{a}(a b c) & \log _{a} b & \log _{a} c \\ \log _{b}(a b c) & 1 & \log _{b} c \\ \log _{c}(a b c) & \log _{c} b & 1\end{array}\right| \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B \( \cdot \log _{a} b+\log _{b} c+\log _{c} a \)
\( \mathbf{c} \cdot \log _{a b c}(a+b+c) \)
D. none of these
Subject: Chemistry
\( 10 \mathrm{mL} \) of a solution of \( K C l \) containing
\( N a C l \) on evaporation gave 0.93 g of the mixed salt, which gave 1.865 g of \( A g C l \)
by the reaction with \( A g N O_{3} \). The
quantity of \( N a C l \) in 10 mL of the
solution is (write it in multiples of 100 )
Subject: Maths
Examine the continuity of the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}|\boldsymbol{x}| \cos \frac{1}{x} & , \text { if } \boldsymbol{x} \neq \mathbf{0} \\ \boldsymbol{0} & , \text { if } \boldsymbol{x}=\mathbf{0}\end{array} \text { at } \boldsymbol{x}=\right. \)
\( \mathbf{n} \)
Subject: Chemistry
Find out the approximate amount of polythene formed from 20kg of calcium carbide from the following reactions.
\( \boldsymbol{C a} \boldsymbol{C}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C a}(\boldsymbol{O H})_{2}+\boldsymbol{C}_{2} \boldsymbol{H}_{2} \)
\( \boldsymbol{H} \boldsymbol{C} \equiv \boldsymbol{C H}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d} \cdot \boldsymbol{B a S O}_{4}}{\longrightarrow} \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H}_{2} \)
\( \boldsymbol{n} \boldsymbol{C} \boldsymbol{H}_{2}=\boldsymbol{C H}_{2} \rightarrow\left(-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\right)_{n} \)
\( A \cdot 6 g \)
B. \( 9 \mathrm{kg} \)
\( \mathrm{c} .26 \mathrm{kg} \)
D. \( 29 \mathrm{kg} \)
Subject: Chemistry
The \( \Delta H \) for the reaction at \( 0^{\circ} \mathrm{C} \)
\( Z n+2 A g C l \rightarrow Z n C l_{2}+2 A g \)
is -52.05 kcal. If the e.m.f. of the cell is
1.015 volt, the temperature coefficient of
the cell at \( 0^{\circ} \mathrm{C} \) in \( V /^{o} C \) is:
A . \( -4.311 \times 10^{-4} \)
В . \( 2.388 \times 10^{-4} \)
c. \( 4.311 \times 10^{-4} \)
D. \( 4.311 \times 10^{-5} \)
Subject: Chemistry
The order of reactivity of carbonyl compounds for nucleophilic addition is:
\( \mathbf{A} \cdot H_{2} C=O>R C H O>A r C H O>R_{2} C=O> \)
\( A r_{2} C=O \)
B \( \cdot A r C H O>A r_{2} C=O>R C H O> \)
\( R_{2} C=O>C H_{2} C=O \)
\( \mathbf{c} \cdot A r_{2} C=O>R_{2} C=O>A r C H O>R C H O> \)
\( H_{2} C=O \)
D. \( H_{2} C=O>R_{2} C=O>A r_{2} C=O>R C H O> \)
\( A r C H O \)
Subject: Physics
A turn of radius \( 20 m \) is banked for the
vehicles going at a speed of \( 36 k m / h . \) If the coefficient of static friction between
the road and the tyre is \( 0.4, \) what are the possible speeds of a vehicle so that it neither slips down nor skids up?
A \( .14 .7 \mathrm{km} / \mathrm{h} \) and \( 54 \mathrm{km} / \mathrm{h} \)
B. \( 14.2 \mathrm{km} / \mathrm{h} \) and \( 50 \mathrm{km} \)
c. \( 11.7 k m / h \) and \( 44 \mathrm{km} / \mathrm{h} \)
D. \( 17.7 \mathrm{km} / \mathrm{h} \) and \( 34 \mathrm{km} / \mathrm{h} \)
Subject: Physics
A steel rod has a radius of \( 10 \mathrm{mm} \) and a
length of \( 1.0 \mathrm{m} . \) A force stretches it along its length and produces a strain of \( 0.16 \% . \) Young's modulus of the steel is \( 2.0 \times 10^{11} N / m^{2} . \) What is the
magnitude of the force stretching the rod?
A . \( 100 \mathrm{kN} \)
B. 314 k
c. \( 31.4 \mathrm{kN} \)
D. 200kN
Subject: Chemistry
For the formation of phosgene from
\( C O(g) \) and chlorine, \( C O(g)+ \)
\( C l_{2}(g) \longrightarrow C O C l_{2}(g), \) the
experimentally determined rate equation is, \( \frac{\boldsymbol{d}\left[\boldsymbol{C O C l}_{2}\right]}{\boldsymbol{d t}}= \)
\( \boldsymbol{k}[\boldsymbol{C O}]\left[\boldsymbol{C l}_{2}\right]^{3 / 2} \)
Is the following mechanism consistent with the rate equation?
\( (i) C l_{2} \rightleftharpoons 2 C l \quad \) (fast)
\( (i i) C l+C O \rightleftharpoons C O C l \)
\( (i i i) C O C l+C l_{2} \rightleftharpoons C O C l_{2}+C l \)
(slow)
Subject: Chemistry
Assertion
The outer electronic configurations of Cr and Cu are \( 3 d^{5} 4 s^{1} \) and \( 3 d^{10} 4 s^{1} \)
respectively.
Reason
Electrons are filled in orbitals in order of
their increasing energies given by \( (n+1) \)
rule
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: Physics
Assume that two deuteron nuclei in the
core of fusion reactor at temperature \( T \) are moving toward each other, each with kinetic energy \( 1.5 \mathrm{kT} \), when the separation between them is large enough to neglect Coulomb potential energy. Also, neglect any interaction from other particles in the core. The minimum temperature T required for
them to reach a separation of \( 4 x \)
\( 10^{-15} m \) is in the range
A . \( 1.0 \times 10^{9} K<T<2.0 \times 10^{9} K \)
B . \( 2.0 \times 10^{9} K<T<3.0 \times 10^{9} K \)
c. \( 3.0 \times 10^{9} K<T<4.0 \times 10^{9} K \)
D. \( 4.0 \times 10^{9} K<T<5.0 \times 10^{9} K \)
Subject: Maths
Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of
introducing a new product is 0.7 and
the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.
Subject: Biology
Assertion
Presence of photorespiration is considered as a wasteful and energy
consuming process in crop plants, ultimately leads to reduction in yield.
Reason

During \( C_{3} \) synthesis upto \( 50 \% C O_{2} \) fixed may have to pass through photosynthesis process to form carbohydrate such as sucrose.
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
f \( P(A)=0.40, P(B)=0.35 \) and
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\mathbf{0 . 5 5}, \) then \( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B})= \)
\( A \)
5
B. \( \frac{8}{11} \)
\( c \cdot \frac{4}{7} \)
D.
Subject: Maths
Construct a quadrilateral ABCD with AB \( =4 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=5.6 \mathrm{cm} \mathrm{DA}=5 \mathrm{cm} \)
and \( A C=8 \mathrm{cm} . \) Find also its area.
Subject: Physics
A metal wire of diameter \( 4 \mathrm{mm} \) and
length \( 100 \mathrm{m} \) has a resistance of
\( \mathbf{0 . 4 0 8} \mathbf{\Omega} \) at \( \mathbf{1 0}^{\circ} \mathbf{C} \) and \( \mathbf{0 . 5 0 8} \mathbf{\Omega} \) at \( \mathbf{1 2 0}^{\circ} \boldsymbol{C} \)
Find the value of
a. temperature coefficient of resistance
b. its resistance at \( 0^{\circ} \mathrm{C} \)
c. its resistivities at \( 0^{\circ} \mathrm{C} \) and \( 120^{\circ} \mathrm{C} \)
Subject: Maths
An urn contains 6 white and 4 black
balls. A fair die whose faces are
numbered from 1 to 6 is rolled and
number of balls equal to that of the number appearing on the die is drawn from the urn at random. The probability that all those are white is
A. 1 5
B. \( \frac{2}{5} \)
\( c \cdot \frac{3}{5} \)
\( D \cdot \frac{4}{5} \)
Subject: Physics
A pan filled with hot food cools from
\( 50.1^{\circ} \mathrm{C} \) to \( 49.9^{\circ} \mathrm{C} \) in 5 sec. How long in
seconds will it take to cool from \( 40.1^{\circ} \mathrm{C} \) to
\( 39.9^{\circ} \mathrm{C} \) if room temperature is \( 30^{\circ} \mathrm{C} \) ?
Subject: Maths
The first term of an arithmetic
progression \( a_{1}, a_{2}, a_{3}_{-}-_{-}-_{-} \) is equal to unity then the value of the common
difference of the progression if \( a_{1} a_{3}+ \)
\( a_{2} a_{3} \) is minimum, is
A. \( -5 / 4 \)
B. - \( 5 / 2 \)
\( c \cdot 4 \)
D. None of these
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\tan ^{-1} \boldsymbol{x}\right) \)
A \( \cdot \frac{1}{1+x^{2}} \)
B \( \cdot \frac{-1}{1+x^{2}} \)
c. \( \frac{-1}{1-x^{2}} \)
D. \( \frac{1}{1-x^{2}} \)
Subject: Physics
In a metre bridge, the balancing length from the left end (standard resistance
of one ohm is in the right gap) is found
to be \( 20 \mathrm{cm} \). The value of the unknown
resistance is
A . \( 4 \Omega \)
B. \( 0.5 \Omega \)
c. \( 0.4 \Omega \)
D. \( 0.25 \Omega \)
Subject: Maths
In a \( \triangle A B C, \angle A-\angle B=30^{\circ} \) and \( \angle B- \)
\( \angle C=42^{\circ} ; \) find \( \angle A \)
A \( \cdot 84^{\circ} \)
B. \( 94^{\circ} \)
\( c \cdot 32^{0} \)
D. none of the above