AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two radioactive sources \( X \) and \( Y \) of
half lives \( 1 h \) and \( 2 h \) respectively
initially contain the same number of
radioactive atoms. At the end of \( 2 h \)
their rates of disintegration are in the ratio of :
A .4: 3
B. 3: 4
\( c \cdot 1: 2 \)
D. 2: 1
Subject: Physics
Find the magnetic induction \( B \) on the axis as a function of \( x \)
A \( \cdot B=\frac{1}{2} \mu_{0} n I\left(1-\frac{x}{\sqrt{x^{2}+R^{2}}}\right) \)
в. \( \quad B=\frac{1}{2} \mu_{0} n I\left(2-\frac{x}{\sqrt{x^{2}+R^{2}}}\right) \)
c. \( _{B}=\frac{1}{2} \mu_{0} n I\left(R-\frac{x}{\sqrt{x^{2}+R^{2}}}\right) \)
D. \( B=\frac{1}{2} \mu_{0} n I\left(X-\frac{x}{\sqrt{x^{2}+R^{2}}}\right) \)
Subject: Physics
A thin rod of negligible mass and crosssectional area \( 4 \times 10^{-6} m^{2}, \) suspended
vertically from one end, has a length of
\( 0.5 \mathrm{m} \) at \( 100^{\circ} \mathrm{C} . \) The rod is cooled to \( 0^{\circ} \mathrm{C} \)
Young's modulus \( =10^{11} \mathrm{Nm}^{-2} \)
coefficient of linear expansion \( =10^{-5} \mathrm{K} \)
-1 and \( g=10 m s^{-2} . \) The total energy
stored in the rod is :
A. 0.15
J 5.1 .1 .5
в. \( 0.2 \mathrm{J} \)
c. \( 0.3 J \)
D. \( 0.4 J \)
Subject: Physics
A ball falls from a height of \( 5 m \) and strikes the roof of a lift. If at time of
collision, lift is moving in the upward
direction with a velocity of \( 1 \mathrm{ms}^{-1} \). Then the velocity with which the ball rebounds after collision will be :
A \( \cdot 13 \mathrm{ms}^{-1} \) upwards
B. \( 12 \mathrm{ms}^{-1} \) downwards
C. \( 12 \mathrm{ms}^{-1} \) upwards
D. \( 11 \mathrm{ms}^{-1} \) downwards
Subject: Physics
Starting from rest a particle is first
accelerated for time \( t_{1} \) with constant
acceleration \( a_{1} \) and then stops in time
\( t_{2} \) with constant retardation \( a_{2} . \) Let \( v_{1} \)
be the average velocity in this case and
\( s_{1} \) the total displacement. In the second
case
it is accelerated for the same time \( t_{1} \)
with constant acceleration \( 2 a_{1} \)
and come to rest with constant
retardation \( a_{2} \) in time \( t_{3} . \) If \( v_{2} \) is the
average velocity in this case and \( s_{2} \) the total displacement, then This question has multiple correct options
A \( \cdot v_{2}=2 v_{1} \)
В . \( 2 v_{1}<v_{2}<4 v_{1} \)
c. \( S_{2} 2=S_{1} \)
D. \( 2 S_{1}<S_{2}<4 S_{1} \)
Subject: Physics
If vector \( 2 \hat{i}+3 \hat{j}+8 \hat{k} \) is perpendicular to the vector \( 4 \hat{j}-4 \hat{i}+\alpha \hat{k}, \) then the
value of \( \alpha \) is :
A . -1
в. \( \frac{1}{2} \)
\( c \cdot-\frac{1}{2} \)
D.
Subject: Chemistry
\( 50 \mathrm{ml} \) of \( 2 \mathrm{N} \) acetic acid mixed with 10
\( \mathrm{ml} \) of \( 1 \mathrm{N} \) sodium acetate solution will
have an approximate \( \boldsymbol{p} \boldsymbol{H}\left(\boldsymbol{K}_{a}=\mathbf{1 0}^{-5}\right) \)
\( A \cdot 4 \)
B. 5
\( c \cdot 6 \)
\( D \)
Subject: Maths
Find the term independent of \( x \) in the expansion of \( \left(\sqrt{\frac{\boldsymbol{x}}{\mathbf{3}}}+\frac{\mathbf{3}}{\mathbf{2} \boldsymbol{x}^{2}}\right)^{10} \)
\( \mathbf{A} \cdot T_{3} \)
в. \( T_{4} \)
c. \( T_{5} \)
D. No term will be independent of \( x \)
Subject: Maths
The incidence of occupational disease in an industry is such that the workers have a \( 20 \% \) chance of suffering from it. The probability that out of 6 workers chosen at random, not even one will
suffer from that disease is
\( \mathbf{A} \cdot\left(\frac{1}{5}\right)^{6} \)
B. \( \left(\frac{4}{5}\right)^{6} \)
\( ^{\mathbf{c}} \cdot_{1}^{6} C\left(\frac{1}{5}\right)^{5}\left(\frac{4}{5}\right)^{1} \)
\( ^{\mathrm{D} \cdot}_{1}^{6} C\left(\frac{1}{5}\right)^{1}\left(\frac{4}{5}\right)^{5} \)
Subject: Chemistry
Which of the following is not correctly matched?
A. Sodium (ethylenediaminetetraacetato) chromate(II) \( N a_{2}\left[C r\left(C H_{3} C O O\right)_{4}(e n)\right] \)
B. Dichloridobis(ethane-1, 2-diamine) cobalt(III) ion \( \left[\mathrm{Co}(\mathrm{Cl})_{2}(\mathrm{en})_{2}\right]^{+} \)
C. Tris(bipyridyl)iron(II)ion - \( \left[F e\left(N H_{4} C_{5} C_{5} H_{4} N\right)_{3}\right]^{2} \)
D. Ammineaquadibromidocopper(II) \( \left[C u\left(N H_{3}\right)\left(H_{2} O\right) B r_{2}\right] \)
E. Potassium hexacyanoferrate(II) - \( K_{4} \operatorname{Fe}(C N)_{6} \) ]
Subject: Chemistry
Give the electron configuration of the given metal (atom/ions)
\( \boldsymbol{C r}^{\mathbf{3}+} \)
\( \mathbf{A} \cdot[A r] 3 d^{1} 4 s^{2} \)
B \( \cdot[A r] 3 d^{2} 4 s^{1} \)
c. \( [A r] 3 d^{3} \)
D. none of these
Subject: Maths
Which of the following is the solution set of the equation \( 2 \cos ^{-1}(x)= \)
\( \cot ^{-1}\left(\frac{2 x^{2}-1}{2 x \sqrt{1-x^{2}}}\right) ? \)
\( \mathbf{A} \cdot(0,1) \)
B . \( (-1,1)-\{0\} \)
c. (-1,0)
D \cdot [-1,1]
Subject: Maths
The function \( \frac{|\boldsymbol{x}|}{\boldsymbol{x}^{2}+\mathbf{2} \boldsymbol{x}}, \boldsymbol{x} \neq \mathbf{0} \) and
\( \boldsymbol{f}(\mathbf{0})=\mathbf{0} \) is not continuous at \( \boldsymbol{x}=\mathbf{0} \)
because-
A \( \cdot \lim _{x \rightarrow 0} f(x) \neq f(0) \)
B. \( \lim _{x \rightarrow 0^{+}} f(x) \) does not exist
c. \( \lim _{x \rightarrow 0^{-}} f(x) \) does not exist
D. \( \lim _{x \rightarrow 0} f(x) \) does not exist
Subject: Maths
If \( \mathbf{A} \) is non-singular matrix such that \( A^{2}=A^{-1} \) then \( a d j A= \)
A.
B. \( A^{-1} \)
c. \( A^{3} \)
D. \( \left(\mathrm{A}^{-1}\right)^{2} \)
Subject: Physics
Which of the following is correct
relation between \( \lambda_{m} \) (wavelength corresponding to maximum energy of emission) and T (absolute
temperature)?
A \( \cdot \lambda_{m} / T= \) constant
B. \( \lambda_{m} T= \) constant
c. \( \lambda_{m}^{2} / T= \) constant
D. \( \lambda_{m} / T^{4}= \) constant
Subject: Physics
An electron makes transition from \( \boldsymbol{n}= \)
\( \mathbf{3}, \boldsymbol{n}=\mathbf{1} \) state in a hydrogen atom. The
different possible number of photons that can be emitted is :
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
D. 6
Subject: Maths
Find the tangents and normal to the
curve \( \boldsymbol{y}(\boldsymbol{x}-\mathbf{2})(\boldsymbol{x}-\mathbf{3})-\boldsymbol{x}+\mathbf{7}=\mathbf{0}, \mathbf{a t} \)
point (7,0) are
A. \( x-20 y-7=0,20 x+y-140=0 \)
в. \( x+20 y-7=0,20 x-y-140=0 \)
D. \( 7 x+20 y-1=0,20 x-7 y-100=0 \)
Subject: Maths
Assertion
If \( \boldsymbol{F}(\boldsymbol{\alpha})=\left[\begin{array}{ccc}\cos \boldsymbol{\alpha} & -\sin \boldsymbol{\alpha} & \boldsymbol{0} \\ \boldsymbol{s i n} \boldsymbol{\alpha} & \boldsymbol{\operatorname { c o s } \boldsymbol { \alpha }} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{0} & \boldsymbol{1}\end{array}\right], \) then
\( [\boldsymbol{F}(\boldsymbol{\alpha})]^{-1}=\boldsymbol{F}(-\boldsymbol{\alpha}) \)
Reason For matrix \( G(\beta)=\left[\begin{array}{ccc}\cos \beta & 0 & \sin \beta \\ 0 & 1 & 0 \\ -\sin \beta & 0 & \cos \beta\end{array}\right] \)
we have \( [G(\beta)]^{-1}=G(-\beta) \)
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: Biology
Which one shows the correct
hierarchical arrangement
A. Kingdom \( \leftarrow \) Division \( \leftarrow \) Class \( \leftarrow \) Order Family \( \leftarrow \) Species \( \leftarrow \) Genus
B. Kingdom \( \leftarrow \) Division \( \leftarrow \) Order \( \leftarrow \) Class \( \leftarrow \) Family \( \leftarrow \) Genus \( \leftarrow \) Species
C. Kingdom \( \rightarrow \) Division \( \rightarrow \) Order \( \rightarrow \) Class \( \rightarrow \) Family \( \rightarrow \) Genus \( \rightarrow \) Species
D. Kingdom \( \rightarrow \) Division \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Family \( \rightarrow \) Genus \( \rightarrow \) Species
E. Kingdom \( \rightarrow \) Division \( \rightarrow \) Family \( \rightarrow \) Order \( \rightarrow \) Class \( \rightarrow \) Genus \( \rightarrow \) Species
Subject: Maths
Find the points on the \( x \) -axis such that their perpendicular distance from the \( \operatorname{line} \frac{x}{a}+\frac{y}{b}=1 \) is \( a b>0 \)
A \( \cdot\left(\frac{a}{b}(b \pm \sqrt{a^{2}+b^{2}}), 0\right) \)
в. \( \left(\frac{a}{b}(-b \pm \sqrt{a^{2}+b^{2}}), 0\right) \)
c. \( \left(\frac{b}{a}(a \pm \sqrt{a^{2}+b^{2}}), 0\right) \)
D \( \cdot\left(\frac{b}{a}(-a \pm \sqrt{a^{2}+b^{2}}), 0\right) \)
Subject: Maths
A curve \( y=f(x) \) which passes through
(4, 0) satisfies the differential equation \( x d y+2 y d x=x(x-3) d x . \) The area
bounded by \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \) and line \( \boldsymbol{y}=\boldsymbol{x} \) (in
square unit) is
A . 32
B. \( \frac{64}{3} \)
c. \( \frac{128}{3} \)
D. 64
Subject: Physics
Four cubes of side 'a' each of mass 40 g. 20 \( g, \) 10 \( g \) and 20 g are arranged in \( x Y \) plane as shown in the figure. The coordinates of COM of the combination
with respect to point 0 is:
A \( \frac{19 a}{18}, \frac{17 a}{18} \)
в. \( \frac{17 a}{18}, \frac{11 a}{18} \)
с. \( \frac{17 a}{18}, \frac{13 a}{18} \)
". \( \frac{13 a}{18}, \frac{17 a}{18} \)
Subject: Physics
Use the relationship between radius of a nucleus and its mass number.

Example: Find the radius of the nucleus of an atom of mass number \( 216\left(R_{0}=\right. \)
1.2 fermi).
A. \( =11.2 \times 10^{-15} \mathrm{m} \)
В. \( =7.2 \times 10^{-15} \mathrm{m} \)
\( \mathbf{c} .=8.2 \times 10^{-15} \mathrm{m} \)
D. \( =9.2 \times 10^{-15} \mathrm{m} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}-\mathbf{3} & \mathbf{5} \\ \mathbf{5} & \mathbf{0} \\ -\mathbf{7} & \mathbf{4}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}\mathbf{3} & \mathbf{- 5} & \mathbf{7} \\ \mathbf{- 5} & \mathbf{0} & \mathbf{- 4}\end{array}\right], \) then find \( \boldsymbol{A}+\boldsymbol{B}^{\boldsymbol{T}} \)
A . 0
в. \( 2 B \)
c. \( 2 A^{\text {न }} \)
D. \( 2 B^{\text {T }} \)
Subject: Physics
If \( \mathbf{W}_{1}, \mathbf{W}_{2} \) and \( \mathbf{W}_{3} \) represent the work
done in moving a particle from \( A \) to \( B \) along three different paths 1,2 and 3 respectively (as shown) in the
gravitational field of a point mass \( \mathbf{m} \)
find the correct relation between
\( \mathbf{W}_{1}, \mathbf{W}_{2} \) and \( \mathbf{W}_{3} \)
A. \( \mathrm{W}_{1}>\mathrm{W}_{2}>\mathrm{W}_{3} \)
B. \( \mathrm{W}_{1}=\mathrm{W}_{2}=\mathrm{W}_{3} \)
c. \( \mathrm{w}_{1}<\mathrm{W}_{2}<\mathrm{W}_{3} \)
D. \( \mathrm{W}_{2}>\mathrm{W}_{1}>\mathrm{W}_{3} \)
Subject: Chemistry
The unit of conductance is
and that of specific
conductance is
\( \mathbf{A} \cdot \operatorname{oh} m^{-1} ; o h m^{-1} c m^{2} \)
B . \( o h m^{-1} c m^{2} ; \) ohm \( ^{-1} c m^{-1} \)
\( \mathbf{c} \cdot o h m^{-1} c m^{-1} ; o h m^{-1} c m^{2} \)
D. \( o h m^{-1} ; o h m^{-1} c m^{-1} \)
Subject: Maths
A relation \( R \) is defined from a \( \operatorname{set} A= \)
[2,3,4,5] to a \( \operatorname{set} B=[3,6,7,10] \) as
follows:
\( (x, y) \in R \Leftrightarrow x \) is relatively prime to \( y \)
Express \( R \) as a set of ordered pairs and determine its domain and range.
Subject: Maths
\( \lim _{x \rightarrow-1^{+}} \frac{\sqrt{\pi}-\sqrt{\cos ^{-1} x}}{\sqrt{x+1}} \) is equal to
A \( \cdot \frac{1}{\sqrt{2}} \)
в. \( \frac{1}{\sqrt{2 \pi}} \)
c. \( \frac{1}{\sqrt{\pi}} \)
D. none of these
Subject: Maths
Sum \( 1+2 a+3 a^{2}+4 a^{3}+\dots \) to \( n \)
terms.
A \( \cdot \frac{1+\left(a^{n}\right)}{(a-1)^{2}}-\frac{n a^{n}}{1+a} \)
в. \( \frac{1-2\left(a^{n}\right)}{(a-1)^{2}}+\frac{n a^{n}}{1-2 a} \)
c. \( \frac{1-\left(a^{n}\right)}{(a-1)^{2}}-\frac{n a^{n}}{1-a} \)
D. none of these
Subject: Chemistry
\( N a H C O_{3} \) can be used on its own to make cakes or bread. Baking powder is more commonly used, and contains
\( N a H C O_{3}, C a\left(H_{2} P O_{4}\right)_{2} \) and starch. An
improved combination baking powder contains about \( 40 \% \) starch, \( 30 \% \)
\( N a H C O_{3} 20 \% N a A l\left(S O_{4}\right)_{2} \) and \( 10 \% \)
\( \boldsymbol{C a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \)
Answer the following questions based on above study.
Rise in bread and cakes is due
to when it decomposes
between \( 50^{\circ} C \) and \( 100^{\circ} C \)
A. \( C O_{2} \)
в. \( H_{2} O \)
\( c . \) both (a) and (b)
D. none of these
Subject: Maths
If \( \boldsymbol{z}_{1}=\mathbf{9}+\mathbf{5} \boldsymbol{i} \) and \( \boldsymbol{z}_{2}=\mathbf{3}+\mathbf{5} \boldsymbol{i} \) and if
\( \arg \left(\frac{\boldsymbol{z}-\boldsymbol{z}_{1}}{\boldsymbol{z}-\boldsymbol{z}_{2}}\right)=\frac{\boldsymbol{\pi}}{\boldsymbol{4}} \) then \( \mid \boldsymbol{z}-\boldsymbol{6}- \)
\( \mathbf{8 i} \mid=\mathbf{3} \sqrt{\mathbf{2}} \)
Subject: Chemistry
An organic compound A containing
\( C, H \) and \( O \) has a pleasant odour with
boiling point of \( 78^{\circ} \mathrm{C} . \) On boiling A with
concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \) a colourless gas
is produced which decolourises
bromine water and alkaline \( K M n O_{4} \)
The organic liquid \( A \) is:
A \( \cdot C_{2} H_{5} C l \)
в. \( C_{2} H_{5} \)СООСН\( _{3} \)
\( \mathbf{c} \cdot C_{2} H_{5} O H \)
D. \( C_{2} H_{6} \)
Subject: Chemistry
The value of \( K_{p} \) is \( 1 \times 10^{-3} \) at \( m^{-1} \) at
\( 25^{\circ} C \) for the reaction \( 2 N O(g)+ \)
\( \boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons 2 N \boldsymbol{O} \boldsymbol{C l} . \) A flask contains \( \boldsymbol{N O} \)
at 0.02 at \( m \) and at \( 25^{\circ} C . \) Calculate the
mole of \( C l_{2} \) that must be added if \( 1 \% \) of
the \( N O \) is to be converted to \( N O C l \) at
equilibrium. The volume of the flask is such that 0.2 mole of gas produces
1 atm pressure at \( 25^{\circ} \mathrm{C} \). (lgnore
probable association of \( \left.N O \text { in } N_{2} O_{2}\right) \)
Subject: Physics
A liquid of bulk modulus \( k \) is
compressed by applying an external pressure such that its density
increases by \( 0.01 \% . \) The pressure applied on the liquid is:
A \( \cdot \frac{k}{10000} \)
в. \( \frac{k}{1000} \)
c. \( 1000 k \)
D. \( 0.01 k \)
Subject: Maths
\( \int \frac{x^{2}-1}{x^{4}+x^{2}+1} d x \) is equal to
A \( \cdot \log \left(x^{4}+x^{2}+1\right)+c \)
B. \( \log \frac{x^{2}-x+1}{x^{2}+x+1}+c \)
\( ^{\mathrm{C}} \cdot \frac{1}{2}^{\log \frac{x^{2}-x+1}{x^{2}+x+1}}+c \)
D. \( \frac{1}{2} \log \frac{x^{2}+x+1}{x^{2}-x+1}+c \)
Subject: Chemistry
Select the best combination of regents
which will bring the following
conversion
\( \mathbf{A} \cdot B r_{2} / F e B r_{3} ; H N O_{3} / H_{2} S O_{4} ; N a O H ; H_{2} / P t \)
B. \( C H_{3} C O C l / A l C l_{3} ; B r_{2} / F e B r_{3} ; N a B H_{4} / C H_{3} O H \)
C. \( C H_{3} C l / A l C l_{3} ; K M n O_{4} ; C H_{3} C l / A l C l_{3} ; N B S / h v ; L \)
D. \( C H_{3} C l / A l C l_{3} ; H N O_{3} / H_{2} S O_{4} ; N B S / h v / N a O H \)
Subject: Physics
A ray of light is incident at an angle i on a glass slab of refractive index \( \mu . \) The angle between reflected and refracted
light is \( 90^{\circ} . \) Then the relationship
between i and \( \mu \) is.
A \( \cdot_{i}=\tan ^{-1}\left(\frac{1}{\mu}\right) \)
B. \( \tan i=\mu \)
\( \mathrm{c} \cdot \sin i=\mu \)
D. \( \operatorname{cosi}=\mu \)
Subject: Physics
A scooter going due east at \( 10 \mathrm{m} / \mathrm{s} \)
turns right through an angle of \( 90^{\circ} . \) If
the speed of the scooter remains unchanged in taking this turn, the change in the velocity of the scooter is
A. \( 20.0 \mathrm{m} / \mathrm{s} \) in south-east direction
B. \( 17.5 \mathrm{m} / \mathrm{s} \) in a south-west direction
c. \( 10.0 m / s \) in south-east direction
D. \( 14.14 \mathrm{m} / \mathrm{s} \) in south-west direction
Subject: Biology
Select the correct option regarding the
given figure.
A. \( \mathrm{D} \) is eosinophil which is found more in asthma patients
B. B is lymphocyte which helps in blood clotting.
C. \( C \) is neutrophil which is phagocytic in nature
D. A is monocyte which releases histamine, serotonin and heparin.
Subject: Biology
Identify the stage of mitosis with its characteristics
A. Metaphase - chromosomes moved to spindle equator, chromosomes made up of two chromatids
B. Anaphase - Centromeres split, chromatids separate and start moving away
c. Late Prophase - chromosomes move to spindle equator
D. Metaphase - spindle fibers attached to kinetochores, centromeres split and chromatids separate
Subject: Physics
Let \( n_{p} \) and \( n_{e} \) the number of holes and
conduction electrons in an intrinsic
semiconductor. Then:
A \( \cdot n_{p}>n_{e} \)
в. \( n_{p}=n_{e} \)
c. \( n_{p}<n_{e} \)
D \( \cdot n_{p} \neq n_{e} \)
Subject: Biology
Q Type your question
to determine the effect of each
substance on normal body variables. An
appropriate amount of time was allowed between injections and the
substances did not interfere with one
another
Values
Baseline after Variable \( \quad \) injecting values \( \quad \) substance
\( \mathbf{A} \)
Serum
\[
C a^{+}
\]
\( 2.3 \mathrm{mmol} / \mathrm{L} \)
\( 2.3 \mathrm{mmol} / \mathrm{L} \)
Serum \( \quad 135 \mathrm{mmol} / \mathrm{L} \quad 135 \mathrm{mmol} / \mathrm{L} \)
\( N a^{+} \)
Serum \( \quad 5.6 \mathrm{mmol} / \mathrm{L} \quad 3.3 \mathrm{mmol} / \mathrm{L} \quad 5.6 \mathrm{n} \)
glucose
The normal release of substance D will
be
A. Soon after a meal.
B. When blood pressure is low.
C . Between meals.
D. When there has been limited intake of dietary calcium.
E. When dietary calcium is in excess.
Subject: Maths
Let \( A \) be the sum of the first 20 terms
and \( B \) be the sum of the first 40 terms
of the series \( 1+2.2^{2}+3^{2}+2.4^{2}+5^{2}+ \)
\( 2.6^{2}+\ldots . . . . . \) Find the value of \( \boldsymbol{A} \)
A . 496
в. 232
c. 248
D. 464
Subject: Chemistry
Which one of the following
arrangements does not give the correct
picture of the trends indicated against
it?
This question has multiple correct options
\( \mathbf{A} \cdot F_{2}>C l_{2}>B r_{2}>I_{2}: \) Bond dissociation energy
\( \mathbf{B} \cdot F_{2}>C l_{2}>B r_{2}>I_{2}: \) Electronegativity
\( \mathbf{C} \cdot F_{2}>C l_{2}>B r_{2}>I_{2}: \) Oxidizing nature
D. \( F_{2}>C l_{2}>B r_{2}>I_{2}: \) Electron gain enthalpy
Subject: Physics
If the gravitational potential on the surface of earth is \( V_{0} \) then potential at a
point at height half of the radius of earth is
A \( \cdot \frac{V_{0}}{2} \)
в. \( \frac{2}{3} V_{0} \)
c. \( \frac{V_{0}}{3} \)
D. \( \frac{3 V_{0}}{2} \)
Subject: Chemistry
Assertion
Internal energy change in a cyclic
process is zero.
Reason
Internal energy is a state function.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Chemistry
Which of the following plots represents an ideal binary mixture?
\( \mathbf{A} \cdot \) Plot of \( P_{\text {total}} v / s 1 / X \) is linear \( \left(X_{B}= \) mole fraction of \right. 'B' in liquid phase).
B. Plot of \( P_{\text {total}} v / s Y_{A} \) is linear \( \left(Y_{B}= \) mole fraction of 'A' \right. in vapour phase)
C ef of \( \frac{1}{P_{\text {total}}} v / s Y_{A} \) is linear
D. plot of \( \frac{1}{P_{\text {total}}} v / s Y_{B} \) is non linear
Subject: Physics
(i) Why does a bottle of soft drink cool faster when surrounded by ice cubes
than by ice cold water, both at \( 0^{\circ} \mathrm{C} \) ?
(ii) A certain amount of heat \( Q \) will
warm \( 1 g \) of material \( X \) by \( 3^{\circ} C \) and \( 1 g \) of
material \( Y \) by \( 4^{o} C . \) Which material has a higher specific heat capacity?
Subject: Physics
Based on the figure above, identify the
correct statement (s) from the
following:

This question has multiple correct options
A. At sealevel, the mercury inside the tube stands upto 76
\( \mathrm{cm} \)
B. The pressure exerted inside a liquid is same at all points along the horizontal plane.
C. The vertical height of the liquid column is independent of the shape and size of the tube.
D. The height of the barometric liquid column is independent of nature of liquid used.
Subject: Physics
Q Type your question-
tative cu titteratur ac a mgin \( n_{1} \)
above the floor of the elevator. After
making a collision with the floor of the
elevator it bounces to height \( h_{2} \). The
coefficient of restitution for collision is
e. For this situation, mark the correct
statement(s).
A . If elevator is moving down with constant velocity \( \nu_{0} \) then \( h_{2}=e^{2} h_{1} \)
B. If elevator is moving down with constant velocity \( \nu_{0} \) then \( h_{2}=e^{2} h_{1}-\frac{\nu_{0}^{2}}{2 g} \)
c. If elevator is moving with constant acceleration of \( g / 4 \) in upward direction, then impulse imparted by floor of the elevator to the ball is \( m(\sqrt{2 g h_{2}})+\sqrt{2 g h_{1}}+2 \nu_{0} \)
D. If elevator is moving with constant acceleration of \( g / 4 \) in upward direction, then it is not possible to determine a reaction between \( h_{1} \) and \( h_{2} \) from the given information.
Subject: Physics
Uniform electric field of intensity 5 volt/m acts parallel to x axis. A charge of \( 2 C \) is moved from to \( A(1,1), \) to \( B(2,1) \)
and finally to \( \mathrm{D}(3, \mathrm{C}) \) in this field.Work done in this process is :
A. 60 joule
B. 40 joule
c. 30 joule
D. zero
Subject: Maths
The value of the determinant \( \Delta= \)
A \( a_{1} a_{2}+b_{1} b_{2} \)
a
В \( \cdot\left(a_{1} a_{2} a_{3}\right)+\left(b_{1} b_{2} b_{3}\right) \)
c. \( a_{1} a_{2} b_{1} b_{2}+a_{2} a_{3} b_{2} b_{3}+a_{3} a_{1} b_{3} b_{1} \)
D. none of these
Subject: Chemistry
The cell constant of a given cell is \( 0.47 \mathrm{cm}^{-1} . \) The resistance of a solution
placed in this cell is measured to be
31.6 ohm. The conductivity of the
solution \( \left(\text { in } S c m^{-1} \text {where } S \) has usual \right.
meaning) is :
A . 0.15
в. 1.5
c. 0.015
D. 150
Subject: Maths
Minimise \( Z=3 x+2 y \)
subject to the constraints:
\( \boldsymbol{x}+\boldsymbol{y} \geq \mathbf{8} \ldots(\mathbf{1}) \)
\( 3 x+5 y \leq 15 \dots(2) \)
\( \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \ldots(\mathbf{3}) \)
Subject: Chemistry
The boiling point of a solution containing \( 68.4 \mathrm{g} \) of sucrose (molar
\( \left.\operatorname{mass}=342 g \operatorname{mol}^{-1}\right) \operatorname{in} 100 \) g of water
is:
\( \left[K_{b} \text { for water }=0.512 \mathrm{K} \mathrm{kg} \text { mol}^{-1}\right] \)
A \( \cdot 101.02^{\circ} \mathrm{C} \)
B . \( 100.512^{\circ} \mathrm{C} \)
c. \( 100.02^{\circ} \mathrm{c} \)
D. \( 98.98^{\circ} \mathrm{C} \)
Subject: Chemistry
Assertion
The value of equilibrium constant depends on the stoichiometry of the equation. BECAUSE
Reason
The value of equilibrium constant does not change when the equation is multiplied or divided by a number.
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: Biology
Match the items in column I with
column II and choose the correct option
\( \begin{array}{llll} & \text { Column I } & & \text { Column II } \\ \text { A. } & \text { Binary fission } & \text { 1. } & \text { Algae } \\ \text { B. } & \text { Zoospore } & \text { 2. } & \text { Amoeba } \\ \text { c. } & \text { Conidium } & \text { 3. } & \text { Hydra } \\ \text { D. } & \text { Budding } & \text { 4. } & \text { Penicillium } \\ \text { E. } & \text { Gemmules } & \text { 5. } & \text { Sponge }\end{array} \)
\( A \)
\( A-1, B-4, C-5, D-3 \)
B. A - 2, B-1,C - 4, D-3, E-5
c. \( A-1, B-4, C-3, D-2, E-5 \)
D. A - 4. - 1. C - 3. D