AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The parabolas \( y^{2}=4 x \) and \( x^{2}=4 y \)
divide the square region bounded by the lines \( x=4, y=4 \) and the coordinate axes.
f \( S_{1}, S_{2}, S_{3} \) are respectively the areas of
these parts numbered from top to
bottom(Example: \( S_{1} \) is the area
bounded by \( y=4 \) and \( x^{2}=4 y \) ); then
\( \boldsymbol{S}_{1}, \boldsymbol{S}_{2}, \boldsymbol{S}_{3} \) is
A . 1: 2: 1
B. 1: 2: 3
c. 2: 1: 2
D. 1: 1: 1
Subject: Maths
If \( (\mathbf{1}+\boldsymbol{x})^{\mathbf{1 0}}=\boldsymbol{a}_{\mathbf{0}}+\boldsymbol{a}_{\mathbf{1}} \boldsymbol{x}+\boldsymbol{a}_{\mathbf{2}} \boldsymbol{x}^{\mathbf{2}}+ \)
\( \ldots \ldots a_{10} x^{10}, \) then value of
\( \left(a_{0}-a_{2}+a_{4}-a_{6}+a_{8}-a_{10}\right)^{2}+ \)
\( \left(a_{1}-a_{3}+a_{5}-a_{7}+a_{9}\right)^{2} \) is
\( \mathbf{A} \cdot 2^{10} \)
B . 2
\( c \cdot 2^{20} \)
D. None of these
Subject: Chemistry
The resistance of \( \frac{1}{10} \mathrm{M} \) solution is \( 2.5 \times \) \( 10^{3} \) ohm. What is the molar conductivity
of solution? (cell constant= \( 1.25 \mathrm{cm}^{-1} \) )
A. 3.5 ohm \( ^{-1} c m^{2} \) mol \( ^{-} \)
B. 5.0 ohm \( ^{-1} c m^{2} \) mol \( ^{-} \)
c. 2.5 ohm\( ^{-1} \mathrm{cm}^{2} \) mol \( ^{-1} \)
D. 2.0 ohm \( ^{-1} \mathrm{cm}^{2} \) mol-
Subject: Physics
The temperature coefficient of
resistance of wire is \( 12.5 \times 10^{-4} / C^{0} . \) At
\( 300 \mathrm{K} \) the resistance of the wire is 1 ohm.
The temperature at which resistance will be 2 ohm is
\( \mathbf{A} \cdot \) 1154 \( \mathbf{K} \)
B. 1100k
c. \( 1400 \mathrm{K} \)
D. 1127K
Subject: Physics
A steel wire of length \( 4 m \) is stretched by
a force of \( 100 N . \) The work done to
increase the length of the wire by \( 2 m m \) is
A . 0.4 .5
в. \( 0.2 J \)
\( c .0 .1 J \)
D. \( 1 . \)
Subject: Physics
The time, in which a force of \( 2 \mathrm{N} \)
produces a change as momentum of 0.4
kg \( m s^{-1} \) in the body is :
A. \( 0.2 s \)
B. 0.02s
c. \( 0.5 \mathrm{s} \)
D. 0.05s
Subject: Chemistry
Assertion
Coloured cations can be identified by borax bead test.
Reason
Transparent bead \( \left(N a B O_{2}+B P_{3}\right) \)
forms coloured bead with coloured
cation.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion, then mark
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion, then mark.
C. If Assertion is true statement but Reason is false, then mark
D. If both Assertion and Reason are false statements then mark.
Subject: Physics
Two lenses of power +12 D and -2 D are put in contact. What is their equivalent focal length?
\( A \cdot 10 \mathrm{cm} \)
B. 12.5 \( \mathrm{cm} \)
\( c \cdot 16.6 \mathrm{cm} \)
D. \( 8.33 \mathrm{cm} \)
Subject: Physics
When a \( 2 \mu \mathrm{C} \) charge is carried from point \( A \) to point \( B, \) the amount of work done by the electric field is \( 50 \mu \). What
is the potential difference and which point is at a higher potential?
A \( .25 V, B \)
в. \( 25 V, A \)
\( c \cdot 20 V, B \)
D. Both are at same potential
Subject: Maths
\( A(1,2,3), B(0,4,1), C(-1,-1,-3) \) are the
vertices of \( \Delta A B C \) and the bisector of
angle A meets BC in D then D point is
В. \( \left(10, \frac{2}{5}, \frac{1}{2}\right) \)
\( ^{\mathbf{C}} \cdot\left(\frac{-7}{10}, \frac{5}{10},-\frac{18}{10}\right) \)
D. (3,-5,1)
Subject: Maths
The value of \( (-i)^{-i} \) equals?
A \( \cdot e^{4 n-1 \frac{\pi}{2}}, n \epsilon I \)
B . \( e^{i 4 n-1 \frac{\pi}{2}}, n \epsilon I \)
C . \( e^{4 n+1 \pi / 2}, n \epsilon I \)
D \cdot \( e^{-i 4 n+1 \frac{\pi}{2}}, n \epsilon I \)
Subject: Maths
In the following figure, ABCD to a
trapezium with \( A B \| D C \). If \( A B=9 \mathrm{cm}, D C= \)
\( 18 \mathrm{cm}, \mathrm{CF}=13.5 \mathrm{cm}, \mathrm{AP}=6 \mathrm{cm} \) and
BE=15 cm. Calculate PE
\( A \cdot P E=5.8 \mathrm{cm} \)
3. \( P E=4.8 \mathrm{cm} \)
\( c \cdot P E=2.8 \mathrm{cm} \)
\( P E=3.8 \mathrm{cm} \)
Subject: Chemistry
Amongst the following, identify the species with an atom in +6 oxidation
state.
\( \mathbf{A} \cdot\left[M n O_{4}\right]^{-} \)
B . \( \left[\operatorname{Cr}(C N)_{6}\right]^{3-} \)
\( \mathrm{c} \cdot \mathrm{Cr}_{2} \mathrm{O}_{3} \)
D. \( \operatorname{Cr} \mathrm{O}_{2} \mathrm{Cl}_{2} \)
Subject: Chemistry
Which of the following is not
correctly matched?
A
B. Nylon-6,6 \( -\left[-N H\left(C H_{2}\right)_{6}-N H-C O-\left(C H_{2}\right)_{4}-\stackrel{\circ}{N}-\right]_{n}- \)
\( c \)
Terylene \( \left[\mathrm{ocH}_{2}-\mathrm{cH}_{2}-\left\|^{\mathrm{O}}\right\|_{\mathrm{n}}^{\mathrm{O}}\right]_{\mathrm{n}} \)
Datural Rubber \( \left.\left[-C H_{2}-C^{C H_{3}}\right]{ }=C H-C H_{2}-\right]_{n} \)
Subject: Chemistry
Consider the following statements.
I) Bohr's theory can also be used to
explain the spectra of \( \boldsymbol{H} \boldsymbol{e}^{+} \) ion
II) Energy of an electron in the first Bohr orbit of hydrogen atom is \( -13.6 \mathrm{eV} \)
III) Bohr's theory is only applicable to
hydrogen atom and not to any other species
IV) The energy of an electron in a hydrogen atom is quantized
The correct statements are:
A. ।, ॥।, IV
B. ॥, ॥ा
c. ॥, IV
D. I, II, III, IV
Subject: Chemistry
Assertion
The two Fe atoms in \( F e_{3} O_{4} \) have
different oxidation numbers.
Reason
\( F e^{2+} \) ions decolourise \( K M n O_{4} \)
Solution.
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
The standard electrode potential of \( \boldsymbol{C u} \mid \boldsymbol{C u}^{+2} \) is \( -\mathbf{0 . 3 4} \) Volt. At what
concentration of \( C u^{+2} \) ions, electrode
potential will be zero?
A \( \cdot 1.98 \times 10^{-12} M \)
В. \( 2.98 \times 10^{-12} M \)
c. \( 1.49 \times 10^{-12} M \)
D. \( 5.96 \times 10^{-12} M \)
Subject: Physics
A simple harmonic oscillation has an amplitude \( A \) and time period \( T . \) The time required to travel from \( \boldsymbol{x}=\boldsymbol{A} \) to
\( \boldsymbol{x}=\frac{\boldsymbol{A}}{2} \) is :
A \( \cdot \frac{T}{6} \)
в. \( \frac{T}{4} \)
c. \( \frac{T}{3} \)
D. \( \frac{T}{12} \)
Subject: Physics
Find the location of charge on the
conducting shell.
\( \mathbf{A} \cdot+2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
B. \( -2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
C. \( +2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \)
D. \( -2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \)
Subject: Physics
A copper rod \( A B \) of length \( l \) is rotated about end A with a constant angular
velocity \( \omega . \) Find electric field at a
distance \( x \) from the axis of rotation:
A \( \cdot \frac{m \omega^{2} x}{e} \)
B. \( \frac{m \omega x}{e l} \)
c. \( \frac{m x}{\omega^{2} l} \)
D. \( \frac{m e}{\omega^{2} x} \)
Subject: Maths
In the following distribution calculate
mean \( \bar{x} \) from assumed mean
Class-
interval \( \begin{array}{lll}10- & 25- & 4 \\ 25 & 40 & 5\end{array} \) 7.
7 7 55 70
Frequency 2
If \( \bar{x}=a b, \) then \( a+b \) is :
Subject: Chemistry
The ionisation constant of acetic acid is
\( 1.8 \times 10^{-5} \).The concentration at which
it will be dissociated to \( 2 \% \) is:
\( \mathbf{A} \cdot 1 M \)
В. \( 0.045 M \)
\( c .0 .018 M \)
D. \( 0.45 M \)
Subject: Maths
Find the acute angle between the two lines:
\( A B \) and \( C D \) passing through the points \( \boldsymbol{A} \equiv(\mathbf{3}, \mathbf{1},-\mathbf{2}), \boldsymbol{B} \equiv(\mathbf{4}, \mathbf{0},-\mathbf{4}) \) and \( \boldsymbol{C} \equiv \)
\( (4,-3,3), D \equiv(6,-2,2) \)
Subject: Chemistry
What were the reasons for late
discovery of noble gases?

This question has multiple correct options
A. Chemical inertness of lighter noble gases, \( i . e ., \) He, Ne and Ar.
B. rare abundance of comparatively reactive noble gases,
i.e., Kr, Xe and Rn.
C. They were not found in the nature very early, so could not be found.
D. None of the above
Subject: Physics
The \( \chi-\left(\frac{1}{T}\right) \) graph for an alloy of
paramagnetic nature is shown in figure
The curie constant is, then
\( A \cdot 57 K \)
B . \( 2.8 \times 10^{-3} K \)
c. \( 570 K \)
D. \( 17.5 \times 10^{-3} K \)
Subject: Physics
\( 5 \mathrm{kg} \) of water at \( 80^{\circ} \mathrm{C} \) is taken in a
bucket of negligible heat capacity, \( 15 \mathrm{kg} \)
of water at \( 20^{\circ} C \) is added to it. What is
the temperature of the mixture?
\( \mathbf{A} \cdot 45^{\circ} C \)
в. \( 65^{\circ} \) С
\( \mathbf{c} \cdot 85^{\circ} C \)
D. \( 35^{\circ} \mathrm{C} \)
Subject: Physics
A body moves in a straight line along
\( Y- \) axis. Its distance \( y \) (in metre) from
the origin is given by \( y=8 t-3 t^{2}(t \) in
seconds. The average speed in the time interval from \( t=0 \) second to \( t=2 \)
second is
\( \mathbf{A} \cdot 1 \mathbf{m} \mathbf{s}^{-1} \)
в. zero
\( \mathrm{c} \cdot 2 \mathrm{ms}^{-1} \)
D. \( \frac{22}{3} \mathrm{ms}^{-1} \)
Subject: Physics
In Bohr's theory of Hydrogen atom, the electronjumps from higher orbit 'n' to lower orbit 'p'. The wavelength will be minimum for the transition
\( A \cdot n=5 \) to \( p=4 \)
B. \( n=4 \) to \( p=3 \)
\( c \cdot n=3 \) to \( p=2 \)
\( D \cdot n=2 \operatorname{top}=1 \)
Subject: Chemistry
The reaction \( \boldsymbol{A}(\boldsymbol{g})+\mathbf{2} \boldsymbol{B}(\boldsymbol{g}) \rightarrow \boldsymbol{C}(\boldsymbol{g})+ \)
\( D(g) \) is an elementary process. In an
experiment, the initial partial pressure
of \( A \) and \( B \) are \( P_{A}=0.40 \) and \( P_{B}= \)
0.60 atm. When \( P_{C}=0.2 a t m \) and the
rate of reaction relative to the initial
rate is ?
A \( \cdot 1 / 48 \)
B. 1/24
c. \( 9 / 16 \)
D. 1/18
Subject: Physics
An external device supplies constant power to a rotating system by applying a torque \( \tau . \) The angular velocity of system varies with torque \( \tau \) as \( (\omega \propto) \)
\( A \)
B. \( \frac{1}{\tau} \)
\( c \cdot \sqrt{\tau} \)
D. \( \frac{1}{\sqrt{\tau}} \)
Subject: Maths
If a quadrilateral \( A B C D \) is such that
\( A B=b, A D=d \) and \( A C=m b+p d \)
\( (m+p \geq 1), \) then the area of the
quadrilateral is \( k(p+m)|b \times d|, \) where
\( k \) is equal to
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{8} \)
\( c \cdot \frac{1}{2} \)
D. None of these
Subject: Chemistry
The mathematical expression which is true for the uncertainty principle is:
A \( \cdot(\Delta x)(\Delta v) \geq \frac{h}{4 \pi} \)
в. \( (\Delta E)(\Delta x) \geq \frac{h}{4 \pi} \)
c. \( (\Delta \theta)(\Delta \phi) \geq \frac{h}{4 \pi} \)
D. \( (\Delta x)(\Delta m) \geq \frac{h}{4 \pi} \)
Subject: Physics
A metal sphere has a charge of \( -6 \mu C \) When \( 5 \times 10^{12} \) electrons are removed
from the sphere, what would be net
charge on it?
A. \( -6.8 \mu C \)
в. \( 6.8 \mu C \)
c. \( 5.2 \mu C \)
D. - \( 5.2 \mu C \)
Subject: Maths
f \( x, y, z \) are complex numbers, then \( \Delta= \) \( \left|\begin{array}{ccc}\mathbf{0} & -\boldsymbol{y} & -\boldsymbol{z} \\ \overline{\boldsymbol{y}} & \mathbf{0} & -\boldsymbol{x} \\ \overline{\boldsymbol{z}} & \overline{\boldsymbol{x}} & \boldsymbol{0}\end{array}\right| \) is equal
A. Purely real
B. Purely imaginary
c. complex
D.
Subject: Chemistry
In section \( A, \) there are some organic
compounds and in section \( \mathrm{B} \), their uses are mentioned. Match the correct
options.
Section A Section B
1. Ethanol
(a) Nail polish remover
2. Formalin
(b) To have sour taste in food
3. Acetone
(c) In fragrant materials like perfumes
4. Ethanoic
(d) To preserve dead bodies Acid
\( A \cdot(1-c),(2-d),(3-a),(4-b) \)
B. (1-a), (2-d), (3-c), (4-b)
C. \( (1-b),(2-a),(3-d),(4-c) \)
D. (1-d), (2-c), (3-b), (4-a)
Subject: Physics
A sinusoidal voltage \( V=200 \sin 314 t \) is
applied to a \( 10 \Omega \) resistor. Find the frequency of the supply.
\( \mathbf{A} \cdot 40 H z \)
B. \( 50 \mathrm{Hz} \)
\( \mathbf{c} \cdot 60 H z \)
D. \( 80 H z \)
Subject: Biology
In normal healthy female, the number of
\( \mathrm{RBC} / \mathrm{mm}^{3} \) of blood is
A. \( 6.5-7.0 \) million
B. 5.5 - 6.0 million
c. \( 4.5-5.0 \) million
D. 3.5 - 4.0 million
Subject: Physics
Biot-Savart law indicates that the
moving electrons (velocity \( \overline{\boldsymbol{v}} \) ) produce a magnetic field \( \bar{B} \) such that:
\( \mathbf{A} \cdot \bar{B} \perp \bar{v} \)
B . \( \bar{B} \| \bar{v} \)
C . it obeys inverse cube law.
D. it is along the line joining the electron and point of observation.
Subject: Maths
Assertion
Consider the function \( \boldsymbol{F}(\boldsymbol{x})= \) \( \int \frac{x}{(x-1)\left(x^{2}+1\right)} d x \)
STATEMENT-1 : \( \boldsymbol{F}(\boldsymbol{x}) \) is discontinuous at
\( \boldsymbol{x}=\mathbf{1} \)
Reason
STATEMENT-2 : Integrand of \( \boldsymbol{F}(\boldsymbol{x}) \) is discontinuous at \( x=1 \)
A. STATEMENT-1 is 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-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Maths
If \( A, B \) and \( C \) are three events, then
This question has multiple correct options
A \( . P(\text { exactly two of } A, B, C \text { occur }) \leq P(A \cap B)+P(B \cap \)
\( C)+P(C \cap A) \)
B \( . P(A \cup B \cup C) \leq P(A)+P(B)+P(C) \)
C. \( P(\text { exactly one of } A, B, C \text { occur }) \leq P(A)+P(B)+ \)
\( P(C)-P(B \cap C)-P(C \cap A)-P(A \cap B) \)
D. \( P(A \text { and at least one of } B, C \text { occurs }) \leq P(A \cap B)+ \)
\( P(A \cap C) \)
Subject: Physics
\( \boldsymbol{x}>2 \boldsymbol{R} \)
\( \mathbf{A} \cdot \frac{2 G M m^{\prime}}{(x-r)^{2}}+\frac{G m m^{\prime}}{(x+r)^{2}} \)
\( \mathbf{B} \cdot \frac{G M m^{\prime}}{2(x-R)^{2}}+\frac{2 G m m^{\prime}}{(x-r)^{2}} \)
\( \mathbf{C} \cdot \frac{G M m^{\prime}}{(x+R)^{2}}+\frac{G m m^{\prime}}{(x+r)^{2}} \)
D. \( \frac{G M m^{\prime}}{(x-R)^{2}}+\frac{G m m^{\prime}}{(x-r)^{2}} \)
Subject: Chemistry
Which of the following statements are
correct regarding the galvanic cell?
This question has multiple correct options
A. A reaction is spontaneous from left to right if \( E_{\text {cell}}>0 \)
B. A reaction occurs from right to left if \( E_{\text {cell}}<0 \)
C. If the system is at equilibrium no net reaction occurs
D. \( E_{\text {cell}} \) is temperature-independent
Subject: Chemistry
At \( 27^{\circ} C, \) most probable speed of
methane gas is \( X \mathrm{m} / \mathrm{s} \), then select the
correct statement.
A. R.M.S speed of \( O_{2} \) at 300 K is \( x \) m/s
B. R.M.S speed of \( O_{2} \) at \( 400 \mathrm{K} \) is \( \mathrm{Xm} / \mathrm{s} \)
C. R.M.S speed of \( O_{2} \) at 500 K is \( x \) m/s
D. R.M.S speed of \( O_{2} \) at \( 600 \mathrm{K} \) is \( \mathrm{Xm} / \mathrm{s} \)
Subject: Physics
A wire of resistance \( 10 \Omega \) is bent to form
a complete circle. Find its resistance
between two diametrically opposite
point
A . \( 5 \Omega \)
В. \( 2.5 \Omega \)
c. \( 1.25 \Omega \)
\( D \cdot \frac{10}{0} s \)
Subject: Maths
In a survey of 100 persons it was found that 28 read magazine \( A, 30 \) read magazine B, 42 read magazine \( C, 8 \) read magazines \( A \) and \( B, 10 \) read magazines A and \( \mathrm{C}, 5 \) read magazines \( \mathrm{B} \) and \( \mathrm{C} \) and 3 read all the three magazines. Find how many read none of three magazines?
Subject: Chemistry
lonisation constant of \( C H_{3} C O O H \) is
\( 1.7 \times 10^{-5} \) and concentration of \( H^{+} \)
ions is \( 3.4 \times 10^{-4} . \) Then find out initia
concentration of \( \boldsymbol{C H}_{3} \) COOH
molecules:
A \( .3 .4 \times 10^{-4} \)
B . \( 3.4 \times 10^{-3} \)
c. \( 6.8 \times 10^{-4} \)
D. \( 6.8 \times 10^{-3} \)
Subject: Physics
How many electrons constitute a current of one microampere?
\( \mathbf{A} \cdot 6.25 \times 10^{6} \)
B. \( 6.25 \times 10^{12} \)
C. \( 6.25 \times 10^{9} \)
D. \( 6.25 \times 10^{15} \)
Subject: Chemistry
\( 6 H_{2} O+6 C O_{2} \frac{\text {sunlight}}{\text {Chlorophyll}} ? \)
A. \( C_{6} H_{12} O_{6}+6 O_{2} \)
в. \( C_{6} H_{6} O_{6}+8 O_{2} \)
c. \( C_{5} H_{12} O_{17}+C O_{2} \)
D. \( C_{6} H_{11} O_{17}+H_{2} O \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) of function \( \boldsymbol{y}=\boldsymbol{e}^{\boldsymbol{x}^{3}}+\frac{\mathbf{1}}{\mathbf{2}} \log \boldsymbol{x} \)
A \( \cdot 2 . e^{x^{3}} x^{2}+\frac{1}{2 x} \)
B. \( e^{x^{3}} x^{2}+\frac{1}{2 x} \)
c. \( 3 . e^{x^{3}} x^{2}+\frac{1}{2 x} \)
D. \( 3 . e^{x^{3}} x^{2}+\frac{1}{x} \)
Subject: Maths
Triangle is formed by the lines \( \boldsymbol{x}+\boldsymbol{y}= \)
\( \mathbf{0}, \boldsymbol{x}-\boldsymbol{y}=\mathbf{0} \) and \( \ell \boldsymbol{x}+\boldsymbol{m} \boldsymbol{y}=\mathbf{1 .} \) If
\( \ell \) and \( m \) follow the condition \( \ell^{2}+ \)
\( m^{2}=1 ; \) then the locus of its
circumcentre is
A \( \cdot\left(x^{2}-y^{2}\right)^{2}=x^{2}+y^{2} \)
B . \( \left(x^{2}+y^{2}\right)^{2}=\left(x^{2}-y^{2}\right) \)
C \( \cdot\left(x^{2}+y^{2}\right)=4 x^{2} y^{2} \)
D. \( \left(x^{2}-y^{2}\right)^{2}\left(x^{2}+y^{2}\right)=1 \)
Subject: Maths
The converse of the statement "if \( \boldsymbol{p}<\boldsymbol{q} \)
then \( p-x<q-x^{\prime \prime} \) is :
A. If \( p<q \), then \( p-x>q-x \)
B. If \( p>q \), then \( p-x>q-x \)
C. If \( p-x>q-x \), then \( p>q \)
D. If \( p-x<q-x \), then \( p<q \)
Subject: Chemistry
At \( 0^{\circ} \mathrm{C} \) and a pressure of \( 1000 \mathrm{mm}, \) a given weight of nitrogen occupies a
volume of \( 1.0 l . A t-100^{\circ} C, \) the same
weight of gas under the same pressure occupies a volume of \( 0.61 . \) What is the value of absolute zero in degree Celsius?
A . \( -250^{\circ} \mathrm{C} \)
B. \( 250^{\circ} \mathrm{C} \)
c. \( -273^{\circ} \mathrm{C} \)
D. \( 273^{\circ} \mathrm{C} \)
Subject: Chemistry
The wavelength photon obtained by electron transition between two level in
H-atom and singly ionised \( \boldsymbol{H} e \) are \( \boldsymbol{\lambda}_{\mathbf{1}} \)
and \( \lambda_{2} \) respectively, then:
A \( \cdot \lambda_{2}=\lambda_{1} \)
B \( \cdot \lambda_{2}=2 \lambda_{1} \)
c. \( \lambda_{2}=\lambda_{1} / 2 \)
D. \( \lambda_{2}=\lambda_{1} / 4 \)
Subject: Physics
The temperature of 5 mol of a gas which was held at constant volume was
changed from \( 100^{\circ} \mathrm{C} \) to \( 120^{\circ} \mathrm{C} \). The
change in internal energy was found to be 80 . \( J \). The total heat capacity of the gas at constant volume will be equal to
\( \mathbf{A} \cdot 8 J / K \)
в. \( 0.8 \mathrm{J} / \mathrm{K} \)
c. \( 4 J / K \)
D. \( 0.4 J / K \)
Subject: Maths
Differentiate the following functions
with respect to \( \boldsymbol{x} \)
If \( y=\cos ^{-1}(2 x)+ \)
\( 2 \cos ^{-1} \sqrt{1-4 x^{2}}, 0<x<\frac{1}{2}, \) find \( \frac{d y}{d x} \)
Subject: Chemistry
Assertion
Among the second group peroxides, barium peroxide is thermally most stable.
Reason
Positive charge density is maximum for
\( B a^{2+} \) among group II cations
A. The Assertion is True, Reason is True; Reason is a correct explanation for Assertion
B. The Assertion is True, Reason is True; Reason is not a correct explanation for Assertion
C. Assertion is True, Reason is False
D. Assertion is False, Reason is True.
Subject: Chemistry
Assertion
Essential oils are volatile and are
insoluble in \( \boldsymbol{H}_{2} \boldsymbol{O} \)
Reason
Essential oils are purified by steam distillation
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
The threshold energy of a metal is 10 sV Identify the incorrect option. (E = energy of one photon)
A. If \( E=12 e V \), photoelectric effect occurs
B. If \( E=15 e V \), kinetic energy of electron is more than option (A)
C. If intensity of photon increase but energy remain same, the kinetic energy of photoelectron remain same
D. If intensity of photon increase but energy remain same, the kinetic energy of photoelectron increase
Subject: Physics
For a normal eye, the near point is 25 \( \mathrm{cm} \) from the eye lens.The distance between eye lens and retina of the eye is
2.5 cm. What is the power of the eye
lens?
A . \( 4 D \)
в. \( 40 D \)
\( c .36 D \)
D. \( -44 D \)
Subject: Physics
Rest mass energy of an electron is 0.54
MeV. If velocity of the electron is \( 0.8 \mathrm{C} \) then its kinetic energy will be:
A. \( 0.36 \mathrm{MeV} \)
B. 0.41 Mev
c. 0.48 Mev
D. 1.32 MeV
Subject: Physics
Two identical condensers M and N are
connected in series with a battery. The space between the plates of M is
completely filled with a dielectric medium of dielectric constant 8 and a
copper plate of thickness \( \frac{d}{2} \) is introduced between the plates of \( \mathrm{N}(d \) is
the distance between the plates). Then
potential differences across \( \mathrm{M} \) and \( \mathrm{N} \) are, respectively, in the ratio:
\( \mathbf{A} \cdot 1: 4 \)
B . 4: 1
\( \mathbf{c} \cdot 3: 8 \)
D. 1: 6
Subject: Chemistry
Statement \( 1: A \) piece of zinc placed in a
blue copper nitrate solution will
displace the copper from the solution,
producing copper metal and a colorless
\( Z n^{2+} \) solution.
Statement 2: Copper is a much more active metal than zinc.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. Statement 1 is correct but Statement 2 is not correct.
D. Statement 1 is not correct but Statement 2 is correct.
E. Both the Statement 1 and Statement 2 are not correct.
Subject: Physics
A particle falling down freely under the influence of gravity covers a distance of \( 20 \mathrm{m} \) in 4 secs. Find its acceleration
A \( \cdot 9.8 m / s^{2} \)
B . \( 15 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathrm{c} \cdot 5 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 3 m / s^{2} \)
Subject: Maths
The number of stationary points of \( \mathbf{f}(\mathbf{x})=\cos \mathbf{x} \) in \( [\mathbf{0}, \mathbf{2} \boldsymbol{\pi}] \) are
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c .3 \)
D.
Subject: Maths
A person invested Rs 1,600 for 3 years
and Rs 1,100 for 4 years at the same rate of simple interest. The total interest
from these investments was Rs 506
Find the rate percent per annum
A. 5\%
B \( \cdot 5 \frac{1}{2} \% \)
c. \( 6 \% \)
D. \( 6 \frac{1}{2} \% \)
Subject: Physics
Q Type your question
steel, a student can record the
following values:
length of wire \( \mathrm{I}=\left(\ell_{0} \pm \Delta \mathrm{I}\right) \boldsymbol{m} \)
diameter of wire \( \boldsymbol{d}=\left(\boldsymbol{d}_{0} \pm \boldsymbol{\Delta} \boldsymbol{d}\right) \mathrm{mm} \)
force applied to wire \( \boldsymbol{F}=\left(\boldsymbol{F}_{0} \pm \boldsymbol{\Delta} \boldsymbol{F}\right) \boldsymbol{N} \)
extension of wire \( e=\left(e_{0} \neq \Delta e\right) \mathrm{mm} \)
In order to obtain more reliable value for
\( Y, \) the following three techniques are
suggested

Technique (i) A shorter wire Is to be used.
Technique
(ii) The diameter shall be
measured at several places with a
micrometer screw gauge. Technique (iii) Two wires are made irom the same ntaterial and of same length. One is loaded at a fixed weight and acts as a reference for the extension of the
other which is load- tested Which of the above techniques is/are useful?
A. i and ii only
B. ii and iii only
c. i only
D. iii only
Subject: Maths
Solve the following equation: \( 3^{x-1} \times \)
\( \mathbf{5}^{2 y-3}=225 \)
A \( \cdot x=3, y=\frac{5}{2} \)
в. \( _{x}=-3, y=\frac{5}{2} \)
c. \( _{x}=3, y=\frac{-5}{2} \)
D. None of the above
Subject: Maths
The value of \( \frac{\cos \left(90^{\circ}-A\right)}{1+\sin \left(90^{\circ}-A\right)}+ \)
\( \frac{1+\sin \left(90^{\circ}-A\right)}{\cos \left(90^{\circ}-A\right)} \) is equal to:
A \( \frac{2}{\cos A} \)
в. \( \frac{2}{\sin A} \)
c. \( \frac{2}{\sec A} \)
D. \( \frac{2}{\operatorname{cosec} A} \)