AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( \boldsymbol{x}=\mathbf{5} \) and \( \boldsymbol{y}=-\mathbf{2}, \) then \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}=\mathbf{9} \)
The contrapositive of this statement is/are
A. If \( x-2 y \neq 9 \), then \( x \neq 5 \) or \( y \neq 2 \)
B. If \( x-2 y \neq 9 \), then \( x \neq 5 \) and \( y \neq-2 \)
c. If \( x-2 y=9 \), then \( x=5 \) and \( y=-2 \)
D. none of these.
Subject: Physics
Assume that the earth moves around
the sun in a circular orbit of radius \( \mathrm{R} \)
and there exists a planet which also
moves around the sun in circular orbit
with an angular speed twice as large as
that of the earth. The radius of the orbit
of the planet is
A \( \cdot \frac{-2}{3} R \)
B. \( \frac{2}{3} R \)
c. \( \frac{-1}{3} R \)
D. \( \frac{R}{\sqrt{2}} \)
Subject: Chemistry
Which of the following is incorrect
about \( \boldsymbol{H}_{\mathbf{4}} \boldsymbol{P}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{5}} \) ?
A. It contains \( P \) in +5 oxidation state
B. It is dibasic acid
c. It is strongly reducing in nature
D. It contains one \( P-O-P \) bond
Subject: Chemistry
The dispersed phase in colloidal iron
(III) hydroxide and coltoidal gold is positively and negatively charged, respectively. Which of the following statements is not correct?
A. Sodium sulphate solution causes coagulation in both sols
B. Magnesium chloride solution coagulates, the gold sol more readily than the iron
(III) hydroxide sol.
c. the processes of electrophoresis provide charge on both the sols
D. colloidal iron is coagulated by \( M g^{+2} \) and coltoidal gold is coagulated by \( C l^{-} \)
Subject: Physics
The capacity of a condenser A is \( 10 \mu F \) and it is charged using a battery of \( 100 \mathrm{V} \) The battery is disconnected and the
condenser \( A \) is connected to a condenser
B with common potential as \( 40 \mathrm{V} \). The
capacity of B is:
\( A \cdot 8 \mu F \)
B. \( 15 \mu F \)
\( \mathrm{c} \cdot 2 \mu F \)
D. \( 1 \mu F \)
Subject: Physics
Assertion
An astronaut in an orbiting space
station above the earth experience
weightlessness.
Reason
An object moving around the earth
under the influence of earth's
gravitational force is in a state of 'free
fall'.
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
Assertion
Scientific notation for the number 100
is expressed as \( 10^{2} \)
Reason
The number \( 10^{2} \) has two significant
figures.
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
n Fig. \( D \) is a point on hypotenuse \( A C \)
of \( \triangle A B C, \) such that
\( B D \perp A C, D M \perp B C \) and \( D N \perp A B \)
Prove that:
(i) \( D M^{2}=D N \cdot M C \)
(ii) \( D N^{2}=D M \cdot A N \)
Subject: Physics
A particle moves a distance \( x \) in time
according to equation \( \boldsymbol{x}=(\boldsymbol{t}+\mathbf{5})^{-1} \)
The acceleration of particle is
proportional to
A . (velocity) \( ^{3 / 2} \)
B. (distance) \( ^{2} \)
c. (distance) \( ^{-2} \)
D. (velocity) \( ^{2 / 3} \)
Subject: Chemistry
Assertion
Froth floatation process is based on the
different wetting nature of ore and gangue particles.
Reason
Mustard oil is used as brother in froth
floation process.
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
Assertion
The equation \( \sin x=1, \) has infinite
number of solutions
Reason
The domain of \( f(x)=\sin x \) is \( (-\infty, \infty) \)
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: Maths
The area (in sq.units) of the region
\( \left\{(x, y): y^{2} \geq 2 x \text { and } x^{2}+y^{2} \leq\right. \)
\( 4 x, x \geq 0, y \geq 0 \) is
A \( \cdot \pi-\frac{8}{3} \)
B. \( _{\pi-\frac{4 \sqrt{2}}{3}} \)
\( ^{\mathrm{C}} \cdot \frac{\pi}{2}-\frac{2 \sqrt{2}}{3} \)
D. \( \pi-\frac{4}{3} \)
Subject: Maths
If \( a_{k}, b_{k}, c_{k} \epsilon R \) for \( k=1,2,3 \) and
\( \left|\begin{array}{lll}\boldsymbol{a}_{1} & \boldsymbol{b}_{1} & \boldsymbol{c}_{1} \\ \boldsymbol{a}_{2} & \boldsymbol{b}_{2} & \boldsymbol{c}_{2} \\ \boldsymbol{a}_{3} & \boldsymbol{b}_{3} & \boldsymbol{c}_{3}\end{array}\right| \)
then sum of the roots of the equation \( \left|\begin{array}{lll}a_{1}+i b_{1} x & i a_{1} x+b_{1} & c_{1} \\ a_{2}+i b_{2} x & i a_{2} x+b_{2} & c_{2} \\ a_{3}+i b_{3} x & i a_{3} x+b_{3} & c_{3}\end{array}\right| \)
is
\( \mathbf{A} \cdot a_{1}+a_{2}+a_{3} \)
B. \( b_{1}+b_{2}+b_{3} \)
\( \mathbf{c} \cdot a_{1} b_{1}+a_{2} b_{2}+a_{3} b_{3} \)
D. none of these
Subject: Maths
If \( k>0 \)
\( \mathbf{A}:(-\mathbf{1})(-\mathbf{2})(-\boldsymbol{k}) \)
\( \mathrm{B}:(1)(2)(k) \)
Then
A. Quantity in A is greater than B
B. Quantity in B is greater than A.
c. Both quantities are equal.
D. The relationship cannot be determined from the information given.
Subject: Physics
The earth's magnetic field at the
equator is approximately \( 0.4 G . \) The earth's dipole moment is :
\( \left(\boldsymbol{R}_{e}=\mathbf{6 . 4} \times \mathbf{1 0}^{\mathbf{6}} \boldsymbol{\boldsymbol { m }}\right) \)
A \( \cdot 4 \times 10^{2} A m^{2} \)
B . \( 1.05 \times 10^{23} \mathrm{Am}^{2} \)
c. \( 4 \times 10^{-5} \mathrm{Am}^{2} \)
D. \( 1.05 \times 10^{-20} \mathrm{Am}^{2} \)
Subject: Physics
Three wires of same material are
connected in parallel to a source of emf. The length ratio of the wires is 1: 2: 3 and the ratio of their area of cross
section is 2: 4: 1
Table 1 Table 2 1 T
6: 6: 1
(p) (a)Resistance ratio : 6: 1
(b) \( \begin{array}{ll}\text { Current ratio } & \text { (q) } 1: 6: 6 \\ \text { Power ratio } & \text { (r) } 1: 1: 6 \\ & \text { (s) None }\end{array} \)
(c)
\( \mathbf{A} \cdot 1) \)
\( a-r, b-q, c-p \)
B. 2) a-p,b-q,c-r
c. \( 3) a-r ; b-p, c-p \)
D. 4 ) a \( -q, b-p, c-r \)
Subject: Maths
If \( \alpha, \beta \) are zeroes of polynomial \( f(x)= \) \( x^{2}+p x+q \) then polynomial having \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) as its zeroes is:
A \( \cdot x^{2}+q x+p \)
B. \( x^{2}-p x+q \)
c. \( q x^{2}+p x+1 \)
D. \( p x^{2}+q x+1 \)
Subject: Physics
A solid sphere of radius \( R \) made of a
material of bulk modulus \( K \) is
surrounded by a liquid in cylindrical
container. A massless piston of area \( \boldsymbol{A} \) floats on the surface of the liquid. When
a mass \( M \) is placed on the piston to compress the liquid, the fractional change in the radius of the sphere,
\( \delta R / R, \) is
Subject: Chemistry
Identify the functional group in the
following detergent molecule. \( \boldsymbol{C H}_{\mathbf{3}}- \)
\( \left(\boldsymbol{C} \boldsymbol{H}_{2}\right)_{10}-\boldsymbol{C H}_{2} \boldsymbol{O S O}_{3}^{-} \boldsymbol{N a}^{+} \)
Subject: Maths
Let \( g \) is the inverse function of \( f \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x})=\frac{\boldsymbol{x}^{\mathbf{1 0}}}{\left(\mathbf{1}+\boldsymbol{x}^{2}\right)} \cdot \) If \( \boldsymbol{g}(\boldsymbol{2})=\boldsymbol{a} \) then \( \boldsymbol{g}^{\prime}(\boldsymbol{2}) \)
is equal to
A \( \cdot \frac{5}{2^{10}} \)
в. \( \frac{1+a^{2}}{a^{10}} \)
c. \( \frac{a^{10}}{1+a^{2}} \)
D. \( \frac{1+a^{10}}{a^{2}} \)
Subject: Maths
You have to show that \( \Delta A M P \cong \Delta A M Q \)
In the following proof, supply the
missing reasons
steps Reasons
(i) PM=QM
(i)
\( \angle \mathrm{PMA}=\angle \mathrm{QMA} \)
(i)
(ii) AM =AM
(iii)
(iv) \( \Delta \mathrm{AMP} \cong \Delta \mathrm{AMQ} \)
(iv)
Subject: Maths
One diagonal of a parallelogram is
\( 40 \mathrm{cm} \) and the perpendicular distance of
this diagonal from either of the outlying
vertices is \( 19 \mathrm{cm} . \) The area of the
parallelogram (in sq. cm) is
4. \( 700 \mathrm{cm}^{2} \)
\( 3 \cdot 380 c m^{2} \)
\( c \cdot 760 c m^{2} \)
) \( 1140 \mathrm{cm}^{2} \)
Subject: Chemistry
Assertion
The amount of BOD in the waters is a
measure of the amount of organic material in the water.
Reason
Clear water has BOD less than 5 ppm
whereas highly polluted water have BOD value of 17 ppm or more.
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
lonisation constant of \( \boldsymbol{C H}_{3} \) COOH is
\( 1.7 \times 10^{-5} \) and concentration of \( H^{+} \)
ions is \( 3.4 \times 10^{-4} . \) Then find out initial
concentration of \( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
molecules:
Subject: Physics
When a certain weight is suspended from a long uniform wire, its length increases by \( 1 \mathrm{cm} \). If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, the
increase in length will be
\( \mathbf{A} \cdot 0.5 \mathrm{cm} \)
B. \( 2 c m \)
\( c .4 c m \)
D. 8 cm
Subject: Physics
Calculate the least amount of work that
must be done to freeze one gram of
water at \( 0^{0} C \) by means of the refrigerator.The temperature of the surrounding is \( 27^{0} C . \) How much heat is
passed on the surrounding in this process? Latent heat of fusion \( \boldsymbol{L}= \)
\( 80 \mathrm{cal} / \mathrm{g} \)
\( \mathbf{A} \cdot 87.91 \mathrm{cal} \)
B. 97.91 cal
c. 88.95 cal
D. 89.95 cal
Subject: Chemistry
For an elementary reaction, \( \boldsymbol{X}(\boldsymbol{g}) \rightarrow \) \( \boldsymbol{Y}(\boldsymbol{g})+\boldsymbol{Z}(\boldsymbol{g}) \)
the half life period is 10 min. In what period of time would concentration of \( \boldsymbol{X} \)
be reduced to \( 10 \% \) of original concentration?
A . 20 min
B. 33 Min
c. 15 min
D. 25 Min
Subject: Physics
In a winter season, a block is formed of
concrete of the volume \( 2.0 \mathrm{m}^{3} \) at the
temperature \( 5^{\circ} \mathrm{C} \). Calculate the change
in volume of the block at the
temperature \( 35^{\circ} C \) during summer day given that its coefficient of volume
expansion is \( 4.0 \times 10^{-5} /^{\circ} \mathrm{C} \)
A \( .160 \mathrm{cm}^{3} \)
В. \( 1,200 \mathrm{cm}^{3} \)
C \( .1,600 \mathrm{cm}^{3} \)
D. \( 2,400 \mathrm{cm}^{3} \)
E. \( 3,200 \mathrm{cm}^{3} \)
Subject: Physics
In Bohr's model of the hydrogen atom, let \( R, V, T \) and \( E \) represent the radius of the orbit, speed of the electron, time period of revolution of electron and the total energy of the electron respectively. The quantity proportional to the quantum number n is
\( \mathbf{A} \cdot V R \)
в. \( E \)
\( c \)
D. \( T \)
Subject: Chemistry
Choose the correct on from the given four
options:
Consider equation:
\[
\mathrm{P}_{4} \mathrm{O}_{10}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{H}_{3} \mathrm{PO}_{4}
\]
Number of moles of \( \mathrm{H}_{3} \mathrm{PO}_{4} \) produced by
reaction are 1 mole of \( P_{4} O_{10} \)
is
2
4
6
8
Subject: Physics
Assertion
Ohm's law is not valid if current
depends on voltage non-linearly.
Reason
Ohm's law is a fundamental law of
nature.
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
In a cyclic process, a gas is taken from state \( A \) to \( B \) via path \( -I \) as shown in
the indicator diagram and taken back
to state \( A \) from state \( B \) via path \( -I I . \) In
the complete cycle:
A. Work is done by the gas
B. Heat is ejected by the gas
c. No work is done by the gas
D. Nothing can be said about work as data is insufficient
Subject: Physics
A electric dipole having charge \( q \) and
\( -q \) are placed at distance \( ^{\prime} d^{\prime} \) is in
equilibrium in a uniform electric filed \( \boldsymbol{E} \)
Each charge has mass ' \( m^{\prime} . \) If dipole is displayed by small angle. Then its angular frequency of oscillation is:
A \( \cdot \sqrt{\frac{3 q E}{m d}} \)
в. \( \sqrt{\frac{q E}{2 m d}} \)
c. \( \sqrt{\frac{2 q E}{m d}} \)
D. \( \sqrt{\frac{2 q E}{3 m d}} \)
Subject: Chemistry
The values of the Henry's law constant
of \( A r, C O_{2}, C H_{4} \) and \( O_{2} \) in water at
\( 25^{0} C \) are 40.30,1.67,0.41 and
\( 34.86 k b a r, \) respectively. The order of
their solubility in water at the same
temperature and pressure is:
A. \( A r>O_{2}>C O_{2}>C H_{4} \)
в. \( C H_{4}>C O_{2}>A r>O_{2} \)
c. \( C H_{4}>C O_{2}>O_{2}>A r \)
D. \( A r>C H_{4}>O_{2}>C O_{2} \)
Subject: Maths
If the area enclosed by the parabolas \( y=a-x^{2} \) and \( y=x^{2} \) is \( 18 \sqrt{2} \) sq.
units Find the value of 'a'
A \( . a=-9 \)
B. \( a=6 \)
\( \mathbf{c} \cdot a=9 \)
D. \( a=-6 \)
Subject: Chemistry
\( M g(O H)_{2} \) in the form of milk of
magnesia is used to neutralize excess
stomach acid. How many moles of
stomach acid can be neutralized by 1 g
of \( M g(O H)_{2} ? \)
(Molar mass of \( \left.M g(O H)_{2}=58.33\right) \)
A . 0.017
B. 0.0343
c. 0.686
D. 1.25
Subject: Physics
Assertion
Diamonds are known for their
spectacular brilliance, but diamonds found in nature rarely exhibit the
brilliance.
Reason
By cutting the diamond suitably,
multiple total internal reflections can
be made to occur.
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
The radii of two planets are respectively
\( R_{1} \) and \( R_{2} \) and their densities are
respectively \( \rho_{1} \) and \( \rho_{2} . \) The ratio of the
accelerations due to gravity at their
surfaces is
A \( \cdot g_{1}: g_{2}=\frac{\rho_{1}}{R_{1}^{2}}: \frac{\rho_{2}}{R_{2}^{2}} \)
\( \mathbf{B} \cdot g_{1}: g_{2}=R_{1} R_{2}: \rho_{1} \rho_{2} \)
\( \mathbf{c} \cdot g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{1} \)
\( \mathbf{D} \cdot g_{1}: g_{2}=R_{1} \rho_{1}: R_{2} \rho_{2} \)
Subject: Maths
Evaluate the following:
\( \left|\begin{array}{ccc}\boldsymbol{x} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \boldsymbol{x}\end{array}\right| \)
Subject: Physics
Three vectors satisfy the relation \( \vec{A} \). \( \vec{B}=0 \) and \( \vec{A} \bullet \vec{C}=0, \) then \( \vec{A} \) is
parallel to
A . \( \vec{c} \)
в. \( \vec{B} \)
c. \( \vec{B} \times \vec{C} \)
D. \( \vec{B} \cdot \vec{C} \)
Subject: Physics
10 g of ice at \( 0^{\circ} \mathrm{C} \) absorbs \( 5460 \mathrm{J} \) of heat energy to melt and change to water at
\( 50^{\circ} \mathrm{C} . \) Calculate the specific latent heat of fusion of ice. Specific heat capacity of water is \( 4200 \mathrm{J} \mathrm{kg}^{-1} \mathrm{K}^{-1} \)
A \( \cdot 136 \) J \( g^{-1} \)
В. 236 J \( g^{-1} \)
c. 336 J \( g^{-1} \)
D. 436 J \( g^{-1} \)
Subject: Chemistry
The \( p H \) of pure water at \( 25^{\circ} C \) and \( 60^{\circ} C \)
are 7 and 6.5 respectively. \( H C l \) gas is
passed through water at \( 25^{\circ} C \) till the
resulting 1 litre solution which aquires a \( p H \) of \( 3 . \) Now \( 4 \times 10^{-3} \) mole of \( N a C N \)
are added into this solution. Also a fresh
\( 0.1 M H C N \) solution has \( p H 5.1936 \)
Now in the one part of solution obtained
after addition of \( N a C N \), one milli mole
of \( N a O H \) are added and in the second
part of this solution 0.5 miili mole of
HCl are added.

The dissociation constant of \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \) is:
A \( \cdot 4.1 \times 10^{-10} \)
B . \( 4.1 \times 10^{-6} \)
c. \( 4.1 \times 10^{-3} \)
D . \( 4.1 \times 10^{-8} \)
Subject: Chemistry
The change in the oxidation number of
the underlined nitrogen atom in the following chemical reactions are :
a. Nitrous acid \( \left(H \underline{N} O_{2}\right) \) reduces
\( M n O_{4}^{\ominus} \) in acid solution
b. Nitrous acid \( \left(H \underline{N} O_{2}\right) \) oxidises \( I^{\ominus} \) to
\( I_{2} \) in acid solution.
\( A \cdot(a)+3 \) to +5
\( (b)+3 t 0+2 \)
B. (a) +3 to +6
\( (b)+3 t 0+2 \)
\( c \cdot(a)+3 t a+5 \)
\( (b)+3 t 0+1 \)
D. \( (a)+3 \) to +2
\( (b)+3 t 0+5 \)
Subject: Chemistry
The correct set of reagents for the
following conversion is :
\( \mathbf{A} \cdot P_{2} O_{5} / \Delta, P_{4} / I_{2}, N a \)
\( \mathbf{B} \cdot P_{4} / I_{2}, N a, P_{2} O_{5} / \Delta \)
\( \mathbf{c} \cdot P_{2} O_{5}, N a B H_{4} \)
D. \( P_{4} / I_{2}, \) Na, conc. \( H_{2} S O_{4} \)
Subject: Maths
f \( y=\tan ^{-1}\left(\frac{1}{1+x+x^{2}}\right)+ \)
\( \tan ^{-1}\left(\frac{1}{x^{2}+3 x+3}\right)+ \)
\( \tan ^{-1}\left(\frac{1}{x^{2}+5 x+7}\right)+---+ \) upto
n terms, then \( \boldsymbol{y}^{\prime}(\mathbf{0})= \)
A \( \cdot \frac{-1}{1+n^{2}} \)
в. \( \frac{-n^{2}}{1+n^{2}} \)
c. \( \frac{n^{2}}{1+n^{2}} \)
D.
Subject: Physics
A student measures the time period of
100 oscillations of a simple pendulum four times. The data set is
\( 90 s, 91 s, 95 s \) and \( 92 s . \) If the minimum
division in the measuring clock is \( 1 s \) then the reported mean time should be:
A \( .92 \pm 2 s \)
В. \( 92 \pm 5.0 s \)
c. \( 92 \pm 1.8 s \)
D. \( 92 \pm 3 \) s
Subject: Physics
Assertion
Electron revolves around a positively charged nucleus like a planet revolves around the sun.
Reason
The force acting in both the cases is of
same kind.
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
How many oxides are soluble in a
moderately concentrated aqueous
solution of NaOH.
\( \begin{array}{llll}s O_{3} & c l_{2} O_{7} & N_{2} O_{5} & \text { co } \\ (1) & \text { (2) } & \text { (3) } & \text { (4) } \\ K_{2} O & C r_{2} O_{3} & \text { Bao } & G e O_{2} \\ \text { (5) } & \text { (6) } & \text { (7) } & \text { (8) }\end{array} \)
Subject: Maths
The number of distinct real values of \( \alpha \)
for which the vectors \( \boldsymbol{\alpha}^{2} \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}},-\hat{\boldsymbol{i}}- \)
\( \boldsymbol{\alpha}^{2} \hat{\boldsymbol{j}}-\hat{\boldsymbol{k}},-\hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}-\boldsymbol{\alpha}^{2} \hat{\boldsymbol{k}} \) will lie in the
same place is
\( A \cdot 1 \)
B . 2
\( c .3 \)
D.
Subject: Physics
The resistance of the wire in the
platinum resistance thermometer at
ice point is \( 5 \Omega \) and at steam point is
5.25 \( \Omega \). When the thermometer is
inserted in an unknown hot bath its
resistance is found to be \( 5.5 \Omega \). The
temperature of the hot bath is?
A \( \cdot 100^{\circ} \mathrm{C} \)
B . \( 200^{\circ} \mathrm{C} \)
c. \( 300^{\circ} \mathrm{C} \)
D. \( 350^{\circ} \mathrm{C} \)
Subject: Biology
Assertion : 'Chipko Andolan' was done by women of Reni village.

Reason : 'Chipko Andolan' was done to protect wildlife.
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. Both the assertion and reason are false.
E. If the assertion is false but reason is true.
Subject: Biology
Select the correct option regarding \( \mathbf{A}^{\prime} \) or
'B' given in the flow charts
\begin{tabular}{|l|l|l|l|l|}
\hline \( \mathrm{A} \) & \( \mathrm{B} \) & \multirow{2}{*} { Organs } & \multirow{2}{*} { Organ Systems } & \multirow{2}{*} { Organism } \\
\cline { 3 - 4 } & & & & \\
\hline
\end{tabular}
A. 'A' is cell and 'B' is tissue
B. 'A' is unicellular organism
C . 'A' is tissue
D. 'B' is cell
Subject: Chemistry
STATEMENT-1: The oxidation state of Tl
is +1
STATEMENT-2: Moving from top to
bottom in \( I I I A \) group, the stability of
+1 oxidation state increases.
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: Physics
A plane mirror forms image \( I \) of an object 0 kept \( 10 \mathrm{cm} \) from the mirror. It is
found that when a Plano concave thin
lens is placed in front of and in contact with the mirror (plane surface of lens in contact with mirror), the position of
image formed by plane mirror does not change. Then the refractive index of lens and radius of curvature of its curved
surface are respectively:
A. \( 1.5,10 \mathrm{cm} \)
B. \( 2.5,10 \mathrm{cm} \)
c. \( \sqrt{2}, 10 \mathrm{cm} \)
D. All of these are possible
Subject: Maths
In the figure \( : \angle P S Q=90^{\circ}, P Q= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{Q} \boldsymbol{S}=\boldsymbol{6} \boldsymbol{c m} \) and \( \boldsymbol{R} \boldsymbol{Q}=\boldsymbol{9} \boldsymbol{c m} \)
Calculate the length of \( \boldsymbol{P} \boldsymbol{R} \)
Subject: Chemistry
A solution containing \( 25.6 g m \) of
sulphur dissolved in \( 1000 g \) of
naphthalene gave a freezing point lowering of 0.680 , then molecular formula of sulphur is:
\( A \cdot S_{2} \)
в. \( S_{4} \)
c. \( S_{6} \)
D. \( S_{8} \)
Subject: Chemistry
Assertion
van Arkel method is used for refining of
zinc.
Reason
In this method impure metal is evaporated to obtain the pure metal as
distillate.
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
If \( f(x) \) and \( g(x) \) be continuous
functions over the closed interval \( [\mathbf{0}, \boldsymbol{a}] \)
such that \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{a}-\boldsymbol{x}) \) and
\( \boldsymbol{g}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{a}-\boldsymbol{x})=\mathbf{2} . \) Then
\( \int_{0}^{a} f(x) \dot{g}(x) d x \) is equal to
A \( \cdot \int_{0}^{a} f(x) d x \)
в. \( \int_{0}^{a} g(x) d x \)
\( c \cdot 2 a \)
D. none of these
Subject: Maths
If \( P=\left[\begin{array}{lll}1 & c & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right] \) is the adjoint of a
\( 3 \times 3 \) matrix \( Q \) and \( \operatorname{det} .(Q)=4, \) then \( c \) is
equal to.
\( \mathbf{A} \cdot \mathbf{0} \)
B. 4
c. 5
D. 11
Subject: Physics
A plane electromagnetic wave of frequency 20 MHz travels through a space along \( x \) direction. If the electric field vector at a certain point in space is
\( 6 \mathrm{V} \boldsymbol{m}^{-1}, \) what is the magnetic field
vector at that point?
A \( \cdot 2 \times 10^{-8} T \)
B \( \cdot \frac{1}{2} \times 10^{-8} T \)
c. \( 2 T \)
D. \( \frac{1}{2} T \)
Subject: Physics
A spaceship is launched into a circular orbit close to earth's surface. The
additional velocity that should be imparted to the spaceship in the orbit to overcome the gravitational pull is:
(Radius of earth \( =6400 k m \) and \( g= \)
\( \mathbf{9 . 8 m} \quad \boldsymbol{s}^{-1} \mathbf{)} \)
\( \begin{array}{lll}\text { A } \cdot & 11.2 k m & s^{-1}\end{array} \)
\( \mathbf{B} \cdot 8 k m \quad s^{-1} \)
\( \begin{array}{ll}\text { c. } 3.2 k m & s^{-1}\end{array} \)
D. \( 1.5 k m \quad s^{-} \)