AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The \( p-V \) diagram of \( 2 g \) of helium gas
for a certain process \( A \rightarrow B \) is shown in
the figure. What is the heat given to the
gas during the process \( \boldsymbol{A} \rightarrow \boldsymbol{B} \) ?
\( A \cdot 4 p_{0} V_{0} \)
B. \( 6 p_{0} V_{0} \)
\( c \cdot 4.5 p_{0} V_{0} \)
\( \mathbf{D} \cdot 2 p_{0} V_{0} \)
Subject: Physics
An electron of charge \( e \) moves in a
circular orbit of radius \( r \) around a
nucleus the magnetic field due to orbit motion of the electron at the site of the
nucleus is \( B \). The angular velocity \( \omega \) of
the electron is:
A \( \cdot \omega=\frac{\mu_{0} e B}{4 \pi r} \)
B. \( \omega=\frac{\mu_{0} e B}{\pi r} \)
c. \( _{\omega=\frac{4 \pi r B}{\mu_{0} e}} \)
D. \( \omega=\frac{2 \pi r B}{\mu_{0} e} \)
Subject: Maths
If \( A, B, C \) are the angles of a triangle,
then the value of determinant
\( \left|\begin{array}{ccc}-1+\cos B & \cos C+\cos B & \cos B \\ \cos C+\cos A & -1+\cos A & \cos A \\ -1+\cos B & -1+\cos A & -1\end{array}\right| \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c .-1 \)
\( D \)
Subject: Maths
Find the order and degree of \( [1+ \) \( \left.\boldsymbol{y}^{\prime}^{2}\right]^{1 / 2}=\boldsymbol{x}^{2}+\boldsymbol{y} \)
A . 1,2
в. 2,1
c. 1,1
D. 2,2
Subject: Biology
The inheritance of sex chromosomes in
human can be described by the fact that:
A. The gametes from each parent have either an \( x \) or a \( Y \) chromosome.
B. The gamete from the mother has either an \( x \) or \( Y \) chromosomes
c. The gamete from the father has either an \( x \) or a chromosome.
D. The gamete from the father only has an \( x \) chromosome.
E. The gamete from the mother has only a \( Y \) chromosome
Subject: Physics
What is the current through an electrical appliance of rating \( 5 \mathrm{kW}, 200 \) V and can you use a fuse which is rated
\( 8 \mathrm{A} ? \)
A. 25 A, yes
B. 2.5 A, yes
\( c \cdot 25 \) A, no
D. 2.5 A, no
Subject: Physics
Three flasks of identical volume are filled
separately by
(a) 1 gram of \( H_{2} \)
(b) 1 gram of \( O_{2} \)
(c) 1 gram of \( C O_{2} \)
They are immersed in a tank of water so
that all of them attain same
temperature. The pressures \( P_{1}, P_{2} \) and \( P_{3} \)
have the on.
\( \mathbf{A} \cdot P_{1}>P_{2}>P_{3} \)
\( \mathbf{B} \cdot P_{1}=P_{2}=P_{3} \)
\( \mathbf{c} \cdot P_{1}<P_{2}<P_{3} \)
\( \mathbf{D} \cdot P_{3}>P_{1}>P_{2} \)
Subject: Physics
The second's hand of a watch is \( 2 \mathrm{cm} \)
long. The speed of the tip of this hand is:
A. \( 0.21 \mathrm{cm} / \mathrm{s} \)
B. \( 2.1 \mathrm{cm} / \mathrm{s} \)
c. \( 21.0 \mathrm{cm} / \mathrm{s} \)
D. None of these
Subject: Chemistry
Avogadro's number is NOT equal to:
A. the number of atoms in 11.2 L of \( O_{2} \) at STP
B. the number of atoms in 1 mole of \( H e \) at STP
C. the number of electrons in 96,500 coulombs
D. the number of \( S O_{4}^{2-} \) ions in 1 L of 0.5 M sulphuric acid
Subject: Physics
A person climbs up a stopped escalator
in \( 60 s . \) If standing on the same escalator but escalator running with constant velocity, he takes 40 s. How much time is taken by the person to walk up in the moving escalator?
A. \( 37 s \)
в. 27 s
\( c \cdot 24 s \)
D. \( 45 s \)
Subject: Biology
Assertion
Annelids are ureotelic
Reason
Only excretory product of annelids is
uric acid.
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the
reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
Subject: Physics
In an experiment, the following observations were recorded:
\( \boldsymbol{L}=\mathbf{2 . 8 2 0 m}, \boldsymbol{M}=\mathbf{3 . 0 0 k g}, \boldsymbol{l}= \)
\( 0.087 c m, \) diameter \( D=0.041 c m \)
Taking \( g=9.81 m s^{-2} \) and using the
formula, \( Y=\frac{4 M g}{\pi D^{2} l}, \) find the maximum permissible error in \( Y \)
Subject: Physics
In a Rutherford scattering experiment
when a projectile of charge \( Z_{1} \) and
mass \( M_{1} \) approaches a target nucleus
of charge \( Z_{2} \) and mass \( M_{2} \) the distance
to closest approached is \( r_{0} . \) The energy
of the projectile is
A . directly proportional to \( M_{1} \times M_{2} \)
B. directly proportional to \( Z_{1} Z_{2} \)
C. directly proportional to to \( Z_{1} \)
D. directly proportional to mass \( M_{1} \)
Subject: Maths
State for 'T' true and 'F' for false.
(i) Number 0 has both rotational and
line of Symmetry.
(ii) A regular polygon of \( n \) sides has \( 2 n \) lines of symmetry.
(iii) A square has four lines of
symmetry and rotational symmetry of
order 2
(iv) A circle has finite number of lines of
symmetry.
(i) (ii) (iii) (iv)
\( A \cdot T F F F \)
B. T F T F
c. F T F \( T \)
D. F T T T
Subject: Physics
A solid sphere, a hollow sphere and a ring, all having equal mass and radius, are placed at the top of an incline and
released. The friction coefficients
between the objects and the incline are equal but not sufficient to allow pure rolling. The greatest kinetic energy at the bottom of the incline will be
achieved by:
A. The solid sphere
B. The hollow sphere
c. The ring
D. All will achieve same kinetic energy
Subject: Chemistry
If \( R \) is universal gas constant, the amount of heat needed to raise the
temperature of 2 moles of an ideal
monoatomic gas from 273 \( K \) to 373 \( K \) when no work is done
\( \mathbf{A} \cdot 100 R \)
в. \( 150 R \)
c. \( 300 R \)
D. \( 500 R \)
Subject: Chemistry
Spin on magnetic moment of the
compound \( \boldsymbol{H} \boldsymbol{g}\left[\boldsymbol{C} \boldsymbol{o}(\boldsymbol{S} \boldsymbol{C} \boldsymbol{N})_{4}\right] \) is:
A \( \cdot \sqrt{3} \)
B. \( \sqrt{15} \)
c. \( \sqrt{24} \)
D. \( \sqrt{8} \)
Subject: Maths
The distance from the origin to the centroid of the tetrahedron formed by
the points (0,0,0),(3,0,0),(0,4,0),(0,0,5) is
A. \( \frac{\sqrt{3+4+5}}{4} \)
B. \( \frac{\sqrt{3+4+5}}{3} \)
c. \( \frac{\sqrt{3^{2}+4^{2}+5^{2}}}{16} \)
D. \( \frac{\sqrt{3^{2}+4^{2}+5^{2}}}{4} \)
Subject: Physics
A count rate-meter is used to measure
the activity of a given sample. At one instant the meter shows 4750 counts
per minute. Five minutes later it shows
2700 counts per minute. The decay constant of the sample is
\( A \cdot 0.565 \min ^{-1} \)
B. \( 0.452 \mathrm{min}^{-1} \)
c. \( 0.226 \min ^{-1} \)
D. \( 0.113 \min ^{-1} \)
Subject: Maths
The solution of \( \left(x^{3}-2 y^{3}\right) d x+ \)
\( 3 x y^{2} d y=0 \) is:
A \( \cdot x^{3}-y^{3}=c x^{2} \)
в. \( x^{3}=y^{3} \)
c. \( x^{3}-y^{3}=c x \)
D. \( x^{3}+y^{3}=c x^{2} \)
Subject: Chemistry
The solution of a salt of a metal of
atomic mass 112 was electrolysed for 15 minutes with a current of
1.5 ampere. The mass of the metal
deposited was \( 0.788 g \). Find the valency of the metal.
\( A \cdot 1 \)
B. 2
\( c \cdot 3 \)
\( D \)
Subject: Physics
A parallel plate condenser consists of two circular plates each of radius \( 2 \mathrm{cm} \) separated by a distance of 0.1 m
time varying potential difference of \( 5 \times \) \( 10^{13} v / s \) is applied across the plates of the condenser. The displacement
current is:
\( \mathbf{A} \cdot 5.50 A \)
B . \( 5.56 \times 10^{2} A \)
c. \( 5.56 \times 10^{3} A \)
D. \( 2.28 \times 10^{4} A \)
Subject: Physics
The figure given below shows the
cooling curve of pure wax material after
heating. It cools from \( A \) to \( B \) and
solidifies along \( B D . \) If \( L \) and \( C \) are respective values of latent heat and the
specific heat of the liquid wax, the ratio
\( \boldsymbol{L} / \boldsymbol{C} \) is \( \boldsymbol{v} \)
A . 40
B. 80
c. 100
D. 20
Subject: Physics
At very close point on the axis of a current carrying circular coil ( \( \boldsymbol{x}<<< \)
\( R \) ) of radius \( ^{\prime} R^{\prime}, \) the value of magnetic
field decreases by a fraction of \( 5 \% \) with respect to centre value. The position of the point from the centre of the coil is :-
A \( \cdot \frac{R}{\sqrt{10}} \)
в. \( \frac{R}{\sqrt{30}} \)
c. \( \frac{R}{\sqrt{50}} \)
D. \( \frac{R}{\sqrt{150}} \)
Subject: Chemistry
The dissociation of ammonium
cabbamate may be represented by the equation:
\( N H_{4} C O_{2} N H_{2}(s) \rightleftharpoons 2 N H_{3}(g)+ \)
\( C O_{2}(g) \Delta H^{\circ} \) for the forward reaction is
negative. The equilibrium will shift from right to left if there is :
This question has multiple correct options
A. a decrease in pressure
B. an increase in temperature
c. an increase in concentration of ammonia
D. an increase in the concentration of carbon dioxide
Subject: Physics
STATEMENT-1:
The plot of atomic number (y-axis) versus number of neutrons (x-axis) for
stable nuclei shows a curvature
towards \( x \) -axis from the line of \( 45^{\circ} \) slope as the atomic number is increased.
STATEMENT-2:
Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons and neutrons in heavier nuclides.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is 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
A dishonest milkman a buys 100 liters of milk from another dishonest
milkman \( B \) for onward distribution. He
retains 10 liter of milk for personal use, adds water to make up the shortfall and sells the mixture at Rs. 15 /liter, there
by making a profit of Rs. 2.75 /liter on
the quantity sold. If \( B \) had already
diluted the milk with water in the ratio
of milk : water 9: 1 and he makes a
profit of Rs. \( 1, \) the price per liter of pure milk purchased by \( B \) is closest to?
Subject: Maths
The area of the region bounded by the
curve \( \boldsymbol{y}=\boldsymbol{x}^{3}, \) its tangent at \( (\mathbf{1}, \mathbf{1}) \) and \( \boldsymbol{x} \)
-axis, is
A \( \cdot \frac{1}{12} \) sq unit
B \( \cdot \frac{1}{6} \) sq unit
c. \( \frac{2}{17} \) sq unit
D. \( \frac{2}{15} \) sq unit
Subject: Chemistry
Ortho, meta \& para forms of dihalo benzenes are taken in a single container at \( -25^{0} \mathrm{C} \). The container is
slowly heated up to room temperature and after some time it was found that the container was left with a
liquid having some solid residues in it. Solid residue can be:
A. ortho form
B. meta form
c. para form
D. mixture of ortho,meta and para form
Subject: Physics
The particle A is converted to C via
following reactions then:
\( \boldsymbol{A} \rightarrow \boldsymbol{B}+_{2} \boldsymbol{H} \boldsymbol{e}^{\boldsymbol{4}} \)
\( \boldsymbol{B} \rightarrow \boldsymbol{C}+\boldsymbol{2}_{-1} \boldsymbol{e}^{\boldsymbol{0}} \)
A. A and C are isobars
B. \( A \) and \( C \) are isotopes
C. \( A \) and \( B \) are isobars
D. \( A \) and \( B \) are isotopes
Subject: Physics
Calculate the pressure if a force of \( 2 N \)
is applied on an area of \( 2 m m^{2}: \)
\( \mathbf{A} \cdot 10^{3} P a \)
B . \( 10^{4} P a \)
\( \mathbf{c} \cdot 10^{5} P a \)
D. \( 10^{6} P a \)
Subject: Physics
The Young's modulus of a wire of length
\( \boldsymbol{L} \) and radius \( \boldsymbol{r} \) is \( \boldsymbol{Y} \boldsymbol{N} / \boldsymbol{m}^{2} . \) The length
and radius are reduced to \( \frac{L}{6} \) and \( \frac{r}{6} \) then its Young's modulus is :
\( A \cdot 6 Y \)
в. \( \frac{Y}{6} \)
\( c \cdot Y \)
D. \( 3 Y \)
Subject: Maths
If Rolle's theorem is applicable to the
function, \( \boldsymbol{f}(\boldsymbol{x})=\frac{\ln \boldsymbol{x}}{\boldsymbol{x}} \) over the interval
\( [a, b], \) where \( a, b \in I^{+} \) then the value of
\( a+b \) is
Subject: Chemistry
The values of \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C a C O}_{3} \) and \( \mathrm{CaC}_{2} \mathrm{O}_{4} \) are \( 4.7 \times 10^{-9} \) and \( 1.3 \times 10^{-9} \)
respectively at \( 25^{\circ} \mathrm{C} \). If the mixture of these two is washed with water, what is
the concentration of \( C a^{2+} \) ions in
water?
A \( \cdot 7.746 \times 10^{-5} M \)
В. \( 5.831 \times 10^{-5} M \)
c. \( 6.856 \times 10^{-5} M \)
D. \( 3.606 \times 10^{-5} M \)
Subject: Chemistry
Assertion
Purine bases present in DNA are adenine and guanine.
Reason
The base thymine is present in RNA while base uracil is present in DNA.
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
Imagine a light planet revolving around a very massive star in a circular orbit of
radius R with a period of revolution T. If the gravitational force of attraction between planet and stars is proportion to \( R_{1} / 2, \) there \( T^{2} \) is proportional to.
A \( \cdot R^{2} \)
B . \( R^{1 / 2} \)
c. \( R^{-1 / 2} \)
D. \( R^{1} / 3 \)
Subject: Chemistry
The resistance of a conductivity cell
containing \( 0.001 \mathrm{M} \) KCl solution at \( 298 \mathrm{K} \) is \( 1500 \Omega . \) What is the cell constant if
conductivity of \( 0.001 \mathrm{M} \) KCl solution at \( 298 K \) is 0.146 times \( 10^{-3} S c m^{-1} ? \)
Subject: Maths
Probability that \( A \) speaks truth is \( \frac{4}{5} . A \) coin is tossed. A reports that a head appears. The probability that actually there was head is
A \( \cdot \frac{4}{5} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{5} \)
D. \( \frac{2}{5} \)
Subject: Maths
Make n the subject of formula:
\( N=90\left(2-\frac{4}{n}\right) \) Find \( n, \) if \( N=108 \)
A \( \cdot n=\frac{360}{180+N} ; n=4 \)
в. \( n=\frac{180}{180-N} ; n=3 \)
c. \( n=\frac{360}{180-N} ; n=5 \)
D. none of the above
Subject: Physics
A plane wavefront of wavelength \( \lambda \) is incident on a single slit of width a. The
angular width of principal maximum
is?
\( A \cdot \frac{\lambda}{a} \)
в. \( \frac{2 \lambda}{a} \)
\( c \cdot \frac{a}{\lambda} \)
D. \( \frac{a}{2 \lambda} \)
Subject: Chemistry
\( O H \)
\( C H_{3}-C H_{2}-C H-C H_{2}-C H_{2}- \)
\( \underset{l}{C} \boldsymbol{H}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
\( \boldsymbol{C H}_{3} \)
The IUPAC name of the compound is:
A. 6 -methyl-3-hexanol
B. 6-Methy|-3-octanol
c. 1-methy|-4-hexanol
D. 4-methyl-1-octanol
Subject: Maths
If \( \boldsymbol{y} \sqrt{\boldsymbol{x}^{2}+\mathbf{1}}=\log (\sqrt{\boldsymbol{x}^{2}+\mathbf{1}}-\boldsymbol{x}) \)
show that \( ,\left(\boldsymbol{x}^{2}+\mathbf{1}\right) \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\boldsymbol{x} \boldsymbol{y}+\mathbf{1}=\mathbf{0} \)
Subject: Chemistry
Which is /are true statements/
reactions?

This question has multiple correct options
\( \mathbf{A} \cdot A l_{4} C_{3}+H_{2} O \rightarrow C H_{4} \)
B \( \cdot C a C_{2}+H_{2} O \rightarrow C_{2} H_{2} \)
\( \mathbf{c} \cdot M g_{2} C_{3}+H_{2} O \rightarrow C H_{3} C \equiv C H \)
D \( \cdot M e_{3} C-H+K M n O_{4} \stackrel{H^{+}}{\longrightarrow} M e_{3} C-O H \)
Subject: Maths
The value of \( ^{\prime} a^{\prime} \) for which the area of the
triangle included between the axes and
any tangent to the curve \( x^{a} y=\lambda^{a} \) is
constant, is/are
This question has multiple correct options
A \( -\frac{1}{2} \)
в. - 1
\( c \cdot \frac{1}{2} \)
D.
Subject: Chemistry
Look at the classification table below.
Which of the following sets of headings is correct?
II
oil snow wind
paint rayon oxygen
A. I-gas, II-liquid, III- solid
B . I-liquid, II-gas, III-solid
c. \( I \) -liquid, \( I I \) -solid, \( I I I- \) gas
D. I-solid, II-gas, III-liquid
Subject: Physics
Which of the following functions correctly represent the travelling wave equation for finite values of \( x \) and \( t \)
A \( \cdot y=x^{2}-t^{2} \)
B \( \cdot y=\cos x^{2} \sin t \)
c. \( y=\log \left(x^{2}-t^{2}\right)-\log (x-t) \)
D・ \( y=e^{2 x} \sin t \)
Subject: Maths
\( \mathbf{f} \mathbf{3}\left[\begin{array}{ll}\mathbf{4} & \mathbf{2} \\ \mathbf{1} & \mathbf{3}\end{array}\right]-\mathbf{2}\left[\begin{array}{cc}-\mathbf{2} & \mathbf{1} \\ \mathbf{3} & \mathbf{2}\end{array}\right]+\left[\begin{array}{ll}\boldsymbol{x} & -\mathbf{4} \\ \mathbf{3} & \boldsymbol{y}\end{array}\right]= \)
0 then \( (x, y)= \)
\( \mathbf{A} \cdot(165) \)
В. \( (5 ~ 16) \)
c. \( (-16-5) \)
\( \mathbf{D} \cdot(-5-16) \)
Subject: Physics
Three charges are placed at the vertices
of an equilateral triangle of side a as shown in the figure. The force
experienced by the charge plced at the vertex \( A \) in a direction normal to \( B C \) is :
\( A \)
\( \mathbf{B} \cdot-Q^{2}\left(4 \pi \varepsilon_{0} a^{2}\right) \)
c. zero
\( ^{\mathrm{D}} \cdot \frac{Q^{2}}{\left(2 \pi \varepsilon_{0} a^{2}\right)} \)
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) satisfies \( |\boldsymbol{f}(\boldsymbol{x})-\boldsymbol{f}(\boldsymbol{y})| \leq \)
\( |x-y|^{3} \) and \( f(4)=192 \) then \( f(7) \) is
equal to
Subject: Chemistry
A buffer is a solution of weak acid and
its conjugate base or a weak base and
its conjugate acid. It resists the change in \( p H, \) when small amount of strong acid or base is added to it. Buffer
solutions have wide applications. \( H C l \) gas is passed through an aqueous solution of \( 0.1 \mathrm{M} \) 1-aminopropane
\( \left(P r N H_{2}\right) \) till the \( p H \) reaches 9.71 Calculate the ratio of
\( \left[\boldsymbol{P r} \boldsymbol{N} \boldsymbol{H}_{2}\right] /\left[\boldsymbol{P r} \boldsymbol{N} \boldsymbol{H}_{3}^{+}\right] \) in this solution
\( \left[\boldsymbol{K}_{\boldsymbol{a}}\left(\boldsymbol{P r} \boldsymbol{N} \boldsymbol{H}_{3}^{+}\right)=\mathbf{1 . 9 6} \times \mathbf{1 0}^{-11}\right. \)
A. \( 0 . \)
B. 0.2
\( c \cdot 0.3 \)
D. 0.15
Subject: Physics
Energy equivalent to \( 10.00 \mathrm{cm}^{-1} \) is:
A \( .2 .0 \times 10^{-22} \) J per atom
B . 28.6 \( \times 10^{-3} \) kcal.mol \( ^{-1} \) photon
c. \( 12.0 \times 10^{-2} k J . m o l^{-1} \) photon
D. All of the above
Subject: Maths
For any two sets \( A \) and \( B, A=B \) is
equivalent to
This question has multiple correct options
\( \mathbf{A} \cdot A-B=B-A \)
\( \mathbf{B} \cdot A \cup B=A \cap B \)
\( \mathbf{c} . A \cup C=B \cup C \) and \( A \cap C=B \cap C \) for any set \( C \)
\( \mathbf{D} \cdot A \cap B=\phi \)
Subject: Physics
A diver looking up through the water sees the outside world contained in a
circular horizon. The refractive index of water is \( \frac{4}{3}, \) and the diver's eyes are 15 cm below the surface of water. Then the
radius of the circle is :
A. \( 15 \times 3 \times \sqrt{5} \) ст
В. \( 15 \times 3 \sqrt{7} \) ст
c. \( \frac{15 \times \sqrt{7}}{3} \mathrm{cm} \)
D. \( \frac{15 \times 3}{\sqrt{7}} \mathrm{cm} \)
Subject: Chemistry
The \( p H \) of \( 0.1 M \) solution of the
following salts increases in the order
A. \( N a C l<N H_{4} C l<N a C N<H C l \)
в. \( H C l<N H_{4} C l<N a C l<N a C N \)
c. \( N a C N<N H_{4} C l<N a C l<H C l \)
D. \( H C l<N a C l<N a C N<N H_{4} C l \)
Subject: Physics
Magnetic flux passing through a coil is initially \( 4 \times 10^{-4} \) Wh. It reduces to \( 10 \% \)
of its original value in 't' second. If the
e.m.f. induced is \( 0.72 \mathrm{mV} \) then 't' in
second is:
A . 0.3
B. 0.4
c. 0.5
D. 0.6
Subject: Physics
Two lead spheres of \( 20 \mathrm{cm} \) and \( 2 \mathrm{cm} \) diameter are placed with their centres 1.0 \( m \) apart. Calculate the force of
attraction between the two spheres. The
radius of the earth is \( 6.37 \times 10^{6} m \), its
density is \( 5.51 \times 10^{3} k g / m^{2} \) and
relative density of lead is 11.5
Subject: Physics
Three copper wires of lengths and cross sectional areas are \( (l, A)\left(2 l, \frac{A}{2}\right) \) and \( \left(\frac{l}{2}, 2 A\right) . \) Resistance is minimum in
A \( \cdot \) wire of cross-sectional area \( \frac{A}{2} \)
B. wire of cross-sectional area \( A \)
c. wire of cross-sectional area \( 2 A \)
D. same in all the three cases
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) if \( \boldsymbol{y}=[\boldsymbol{x}+\sqrt{\boldsymbol{x}+} \sqrt{\boldsymbol{x}}]^{1 / 2}, \) at \( \boldsymbol{x}= \)
\( \mathbf{1} \)
A. \( \frac{3+4 \sqrt{2}}{8 \sqrt{2}(\sqrt{1+\sqrt{2}})} \)
B. Not defined
\( c \cdot 0 \)
D.
Subject: Physics
Three point charges \( +\boldsymbol{q},-\boldsymbol{2} \boldsymbol{q} \) and \( +\boldsymbol{q} \)
are placed at points \( (\boldsymbol{x}=\mathbf{0}, \boldsymbol{y}=\boldsymbol{a}, \boldsymbol{z}= \)
\( \mathbf{0}),(\boldsymbol{x}=\mathbf{0}, \boldsymbol{y}=\mathbf{0}, \boldsymbol{z}=\mathbf{0}) \) and \( (\boldsymbol{x}= \)
\( \boldsymbol{a}, \boldsymbol{y}=\mathbf{0}, \boldsymbol{z}=\mathbf{0}) \) respectively. The
magnitude and direction of the electric
dipole moment vector of this charge assembly are :
A . \( \sqrt{2 q a} \) along \( +y \) direction
B. \( \sqrt{2} q a \) along the line joining points \( (x=0, y=0, z= \)
0) and \( (x=a, y=a, z=0) \)
c. \( q a \) along the line joining points \( (x=0, y=0, z= \)
0) and \( (x=a, y=a, z=0) \)
D. \( \sqrt{q} a \) along \( +x \) direction
Subject: Maths
Find the mean deviation about the
median for the data
\( \mathbf{1 3}, \mathbf{1 7}, \mathbf{1 6}, \mathbf{1 4}, \mathbf{1 1}, \mathbf{1 3}, \mathbf{1 0}, \mathbf{1 6}, \mathbf{1 1}, \mathbf{1 8}, \mathbf{1 2}, \mathbf{1} \)
Subject: Physics
A particle having initial velocity
moves with a constant acceleration a
for a time \( t . \) Evaluate it for \( \boldsymbol{u}= \)
\( \mathbf{5 m} / \boldsymbol{s}, \boldsymbol{a}=\mathbf{2 m} / \boldsymbol{s} \) and \( \boldsymbol{t}=\mathbf{1 0 s} \)
Subject: Maths
n Fig 10.3 if \( \mathrm{OA}=5 \mathrm{cm}, \mathrm{AB}=8 \mathrm{cm} \) and
OD is perpendicular to AB then CD is
equal to
\( A \cdot 2 \mathrm{cm} \)
B. 3 \( \mathrm{cm} \)
\( c \cdot 4 \mathrm{cm} \)
D
Subject: Maths
Find the median value from the given
table by drawing the curve of the values.
\begin{tabular}{|l|l|}
\hline Weight (in kg) & No of students \\
\hline Less than 38 & 0 \\
\hline Less than 40 & 3 \\
\hline Less than 42 & 5 \\
\hline Less than 44 & 9 \\
\hline Less than 46 & 14 \\
\hline Less than 48 & 28 \\
\hline Less than 50 & 32 \\
\hline Less than 52 & 35 \\
\hline
\end{tabular}
A . 18.5
B. 16.5
c. 17.5
D. 21.5
Subject: Chemistry
The single-bonded metallic radius of \( N a \) is 157 pm. Give a reasonable estimation of the radii, assuming that the increment between radii of different
magnitudes is 60 pm. the anionic radius of \( N a \) is:
A \( .217 \mathrm{pm} \)
B. 227 pm
c. \( 237 \mathrm{pm} \)
D. 207 pm
Subject: Physics
Assertion: A white source of light during interference forms only white and black
fringes. Reason: Width of fringe is inversely proportional to the wavelength of the light used.
A. If both assertion and reason are true but the reason is the correct explanation of assertion
B. If both assertion and reason are true but the reason is not the correct explanation of assertion
c. If assertion is true but reason is false
D. If both the assertion and reason are false
E. If reason is true but assertion is false
Subject: Biology
Assertion
The "biological species" concept helps us to ask how species are formed.
Reason

The concept of biological species focusses our attention on the question
of how reproductive isolation comes about.
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
When \( 0.273 g \) of \( M g \) is heated strongly
in a nitrogen \( \left(N_{2}\right) \) atmosphere, \( 0.378 g \)
of the compound is formed. Hence, the compound formed is :
в. \( M g_{3} N \)
c. \( M g_{2} N_{3} \)
D. \( M g N \)
Subject: Chemistry
Assertion
\( P h-C H_{3} O \) undegoes nitration faster
\( \operatorname{than} \boldsymbol{P h}-\boldsymbol{S}-\boldsymbol{C H}_{3} \)
Reason
\( \boldsymbol{C H}_{3} \boldsymbol{O}- \) group has greater -I effect then \( \boldsymbol{C H}_{3}-\boldsymbol{S}- \) group.
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