AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The rating of an electrical appliance is \( 60 W, 220 V . \) What is the safe limit of
current in it, while in use?
\( \mathbf{A} \cdot 0.20 A \)
B. \( 0.27 A \)
c. \( 0.50 A \)
D. \( 1.2 A \)
Subject: Physics
The half life of radium is 1600 years. The
fraction of radium atoms that remain
undecayed after 4800 years will be
A \( \cdot \frac{1}{4} \)
в. \( \frac{1}{16} \)
\( c \cdot \frac{1}{8} \)
D. \( \frac{1}{32} \)
Subject: Maths
In a \( \triangle A B C, \) measure \( \angle A=35^{0} \)
measure \( \angle B=65^{0}, \) find measure \( \angle C \)
A \( \cdot 60^{\circ} \)
В. \( 70^{\circ} \)
\( c .80^{\circ} \)
D. None of these
Subject: Chemistry
\( 25 m L \) of \( 0.107 M H_{3} P O_{4} \) was titrated
with \( 0.115 M \) solution of \( N a O H \) to the
end point identified by indicator bromocresol green. This required
\( 23.1 m L \) The titration was repeated using phenolphthalein as indicator. This time \( 25 m L \) of \( 0.107 M H_{3} P O_{4} \)
required \( 46.2 m L \) of the
\( \mathbf{0 . 1 1 5} M_{N a O H . \text { What is the }} \)
coefficient \( ^{\prime} \boldsymbol{n}^{\prime} \) in the following reaction?
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}+\boldsymbol{n} \boldsymbol{O} \boldsymbol{H}^{-} \rightarrow\left[\boldsymbol{H}_{3-n} \boldsymbol{P} \boldsymbol{O}_{4}\right]^{n-}+ \)
\( \boldsymbol{n} \boldsymbol{H}_{2} \boldsymbol{O} \)
Subject: Maths
\( A B \) and \( C D \) are two perpendicular diameters of a circle with centre \( 0,0 D \) is
the diameter of smaller circle.If \( O A=7 \)
\( \mathrm{cm} \),then the area of the shaded region in
figure,is
\( A \cdot 66.5 c m^{2} \)
В. \( 66 c m^{2} \)
\( c \cdot 65 c m^{2} \)
D. \( 67.5 \mathrm{cm}^{2} \)
Subject: Maths
If \( \boldsymbol{A} \cap \boldsymbol{B} \subseteq \boldsymbol{C} \) and \( \boldsymbol{A} \cap \boldsymbol{B} \neq \boldsymbol{\phi} \). Then
which of the following is incorrect
\( \mathbf{A} \cdot(A \cup B) \cap C \neq \phi \)
в. \( B \cap C=\phi \)
c. \( A \cap C \neq \phi \)
D. If \( (A-C) \subseteq C \) then \( A \subseteq C \)
Subject: Maths
\( \mathbf{2} \cdot \mathbf{1}^{2}+\mathbf{3} \cdot \mathbf{2}^{2}+\mathbf{4} \cdot \mathbf{3}^{2}+\ldots \) up to \( \boldsymbol{n} \)
terms \( = \)
A \( \cdot \frac{n(n+1)(n+2)(3 n+1)}{12} \)
B \( \cdot \frac{n(n+2)(n+3)(n+11)}{12} \)
c. \( \frac{n(n+1)(n+2)(3 n-2)}{6} \)
D. \( \frac{n(n+2)(n+5)(n+8)}{6} \)
Subject: Physics
Assertion
Frictional force is independ of the
velocity of the body
Reason
Friction is due to surface irreqularities.
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
Surface charge density of a sphare of a radius \( 10 \mathrm{cm} \) is \( 8.85 \times 10^{-8} c / m^{2} \)
Potential at the centre of the sphare is
A . \( 1000 V \)
B. \( 885 V \)
\( c \cdot 10^{-3} \)
D. \( 442.5 V \)
Subject: Chemistry
The IUPAC name of
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right)_{2} \) is:
A. N,N-dimethyl-2-propanamine
B. N,N-dimethyl amino isopropane
c. N,N-dimethyl amino ethane
D. Methyl-N-isopropyl methyl amine
Subject: Physics
You travel on the highway at a rate of \( 60 m p h \) for 1 hour and at \( 50 m p h \) for 2
hours and 40 mph for 3 hours. What is
your average speed during the trip?
A \( .48 m p h \)
в. 47 три
c. \( 46 m p h \)
D. \( 45 \mathrm{mph} \)
Subject: Physics
Upon inserting a parallel-sided slab of
glass between the lens and the screen,
it was found necessary to move the screen a distance d away from the lens
in order for the image to be again sharply focussed. If the refractive index
of glass relative to air is \( \mu \) then the thickness of the slab is:
\( \mathbf{A} \cdot \frac{d}{\mu} \)
в. \( \frac{\mu}{d} \)
c. \( \frac{\mu d}{(\mu-1)} \)
D. \( \frac{(\mu-1) d}{\mu} \)
Subject: Maths
\( f(x-2)(x-3)^{3}=\frac{A}{x-2}+\frac{B}{x-3}+ \)
\( \frac{C}{(x-3)^{2}}+\frac{D}{(x-3)^{3}} \) then \( B= \)
\( A \)
B.
c. \( \frac{1}{25} \)
\( D \)
Subject: Maths
The negation of the statement "2 \( +3= \)
\( 5^{\prime \prime} \) and " \( 8<10^{\prime \prime} \) is
A \( \cdot 2+3 \neq 5 \) and \( 8 \Varangle 10 \)
B. \( 2+3 \) Ineq 5 or \( 8>10 \)
c. \( 2+3 \neq 5 \) or \( 8 \nsupseteq 10 \)
D. None of these
Subject: Chemistry
Assertion
The enthalpy of both graphite and diamond is taken to be zero, being elementry substances.
Reason
The enthalpy of formation of an elementary substance in any state is
taken as zero
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
A long, thin metal wire is suspended
from a fixed support and hangs
vertically. Masses are suspended from
its lower end.

The load on the lower end is increased
from zero and then decreased again
back to zero.
The diagram shows the force-extension
graph produced
Where on the graph would the elastic limit be found?
A. anywhere between point \( R \) and point \( S \)
B. just beyond point \( S \)
c. exactly at point \( S \)
D. exactly at point \( T \)
Subject: Physics
Two thin lenses of focal lengths \( f_{1} \) and \( f_{2} \) are in contact and coaxial. The power of the combination is :
A \( \cdot \frac{f_{1}+f_{2}}{2} \)
в. \( \frac{f_{1}+f_{2}}{f_{1} f_{2}} \)
c. \( \sqrt{\frac{f_{1}}{f_{2}}} \)
D. \( \sqrt{\frac{f_{2}}{f_{1}}} \)
Subject: Physics
A \( 50 \mathrm{cm} \) long conductor \( \mathrm{AB} \) moves with
a speed \( 4 m / s \) in a magnetic field \( B= \)
\( 0.01 W b / m^{2} \) as shown. Find the emf
generated and power delivered if
resistance of the circuit is \( 0.1 \Omega \)
Subject: Chemistry
A mixture of sodium oxide and calcium
oxide are dissolved in water and
saturated with excess carbon dioxide
gas. The resulting solution is and
it contains
\( \mathbf{A} \cdot \operatorname{Basic} N a O H \) and \( C a(O H)_{2} \)
B. Neutral \( N a_{2} C O_{3} \) and \( C a C O_{3} \)
\( \mathbf{c} . \) Ваsic \( N a_{2} C O_{3} \) and \( C a C O_{3} \)
D. Acidic \( N a O H \) and \( C a C O_{3} \)
Subject: Maths
Area of right triangle \( M O B \) is 16
sq.units. If \( \boldsymbol{O} \) is the origin and the
coordinates of \( A \) are \( (8,0), \) what are the
coordinates of B ?
\( A \cdot(0,4) \)
B. (0, 2)
\( c \cdot(-1,1) \)
\( \mathbf{D} \cdot\left(0, \frac{1}{2}\right) \)
Subject: Maths
The absolute value of the determinant
\( \left|\begin{array}{ccc}-1 & 2 & 1 \\ 3+2 \sqrt{2} & 2+2 \sqrt{2} & 1 \\ 3-2 \sqrt{2} & 2-2 \sqrt{2} & 1\end{array}\right| \) is \( \frac{k}{\sqrt{2}} \) then
\( \boldsymbol{k}= \)
Subject: Chemistry
Hard water is passed through an ionic
exchange resin containing \( -\boldsymbol{S O}_{3} \boldsymbol{H} \) group. The outcoming water is free of the following ions
A \( \cdot C l \)
в. \( N O_{3} \)
c. \( H_{3} O^{+} \)
D. \( C a^{+2} \)
Subject: Chemistry
The rate equation for the hydrolysis of an ester in the presence of \( N a O H \) is given as, \( r a t e=k[\text { ester }][N a O H] . \) If the
concentration of \( N a O H \) is increased
by 100 times than that of ester, the order of the reaction will be:
A.
B. 2
\( c \cdot 0 \)
D. 3
Subject: Physics
A dipole of moment \( \vec{p} \) is placed in a uniform electric field \( \vec{E} \). If the force on the dipole is \( \vec{F} \) and the torque is \( \vec{\tau} \). Then
This question has multiple correct options
\( \mathbf{A} \cdot \vec{F}=0 \)
B . \( \vec{F}=|\vec{p}| \vec{E} \)
\( \mathbf{c} \cdot|\vec{\tau}|=\vec{p} . \vec{E} \)
D . \( \vec{\tau}=\vec{p} \times \vec{E} \)
Subject: Physics
Moment of inertia of a bar magnet of mass \( m \) length \( l \) breath \( n \) is \( I \). then moment of inertia of another bar
magnet of mass \( 2 m \) length \( 2 l \) breath \( 2 b \) would be
\( A \cdot 81 \)
B. 4 1
c. 21
D.
Subject: Physics
The potential at a point due to a charge
of \( 5 \times 10^{-7} C \) located \( 10 c m \) away is:
A \( \cdot 3.5 \times 10^{5} V \)
B . \( 3.5 \times 10^{4} V \)
c. \( 4.5 \times 10^{4} V \)
D. \( 4.5 \times 10^{5} V \)
Subject: Maths
An electric component manufactured by 'RASU Electronics' is tested for its defectiveness by a sophisticated testing device. Let \( A \) denote the event
"the device is defective" and \( B \) the
event "the testing device reveals the
component to be defective". Suppose \( \boldsymbol{P}(\boldsymbol{A})=\boldsymbol{\alpha} \) and \( \boldsymbol{P}(\boldsymbol{B} \mid \boldsymbol{A})=\boldsymbol{P}\left(\boldsymbol{B}^{\prime} \mid \boldsymbol{A}^{\prime}\right)= \)
\( \mathbf{1}-\boldsymbol{\alpha}, \) where \( \mathbf{0}<\boldsymbol{\alpha}<\mathbf{1}, \) then
This question has multiple correct options
\( \mathbf{A} \cdot P(B)=2 \alpha(1-\alpha) \)
B . \( P\left(A \mid B^{\prime}\right)=1 / 2 \)
C \( \cdot P\left(B^{\prime}\right)=(1-\alpha)^{2} \)
D \( \cdot P\left(A^{\prime} \mid B^{\prime}\right)=[\alpha /(1-\alpha)]^{2} \)
Subject: Maths
In the given figure \( \boldsymbol{P Q} \| \boldsymbol{R S}, \angle \boldsymbol{R} \boldsymbol{S F}= \)
\( 40^{\circ}, \angle P Q F=35^{\circ} \) and \( \angle Q F P=x^{o} \)
What is the value of \( x ? \)
A . \( 75^{\circ} \)
В. 105
с. 135
D. \( 140^{\circ} \)
Subject: Physics
A man of height \( \boldsymbol{H} \) is standing in front
of a mirror, which has been fixed on the
ground. What length of his body can the
man see in the mirror? The length of the mirror is \( \frac{\boldsymbol{H}}{\mathbf{2}} . \) (Neglect seperation between eyes and head of men)
\( \mathbf{A} \cdot H \)
B.
c. zero
D. \( \frac{2 H^{2}}{L} \)
Subject: Chemistry
If 1 mole of ethyl alcohol in 1,000 grams of water depresses the freezing point by
\( 1.86^{\circ} \mathrm{C}, \) what will be the freezing point
of a solution of 1 mole of ethyl alcohol in
\( \mathbf{5 0 0} \) grams of water?
A \( .-0.93^{\circ} \mathrm{C} \)
В. \( -1.86^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot-2.79^{\circ} \mathrm{C} \)
D. \( -3.72^{\circ} \mathrm{C} \)
E . \( -5.58^{\circ} \mathrm{C} \)
Subject: Physics
If rotational inertial parameter of a body rolling down a rough inclined plane (of inclination \( \theta \) and height \( h \) ) without slipping is given by \( \beta=\frac{I_{c m}}{M R^{2}}, \) then the time taken by the body to reach the bottom of the inclined plane is given by
\( ^{\mathrm{A}} t=\frac{1}{\sin \theta} \sqrt{(1+\beta) \frac{h}{2 g}} \)
в. \( t=\frac{1}{\sin \theta} \sqrt{(1+\beta) \frac{2 h}{g}} \)
\( ^{c} t=\frac{1}{\sin \theta} \sqrt{(1-\beta) \frac{h}{2 g}} \)
D \( t=\frac{1}{\sin \theta} \sqrt{(1+\beta) \frac{h}{g}} \)
Subject: Chemistry
Consider the cell :
\( A g_{(s)} \mid A g C l \) (saturated solution) \( \mid A g N O_{3(a q)} \)
EMF of the above cell is given by:
Given: \( \left(\boldsymbol{K}_{s p} \text { of } \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}=\mathbf{1 . 0} \times \mathbf{1 0}^{-\mathbf{1 0}} \boldsymbol{M}^{\mathbf{2}}\right) \)
This question has multiple correct options
A \( \cdot E_{c e l l}=0.059 \log \left[K_{s p}(A g C l)\right]^{1 / 2} \)
B. \( E_{c l l}=0.059 \log \frac{1}{\left[K_{s p}(A g C l)\right]^{1 / 2}} \)
c. \( E_{\text {cll}}=0.059 \times 5 V \)
D. \( E_{\text {cll}}=296 \mathrm{mV} \)
Subject: Maths
The minors and cofactors of -4 and 9 in
determinant \( \left|\begin{array}{ccc}-1 & -2 & 3 \\ -4 & -5 & -6 \\ -7 & 8 & 9\end{array}\right| \) are
respectively
A. 42,\( 42 ; 3,3 \)
В. -42,\( 42 ;-3,-3 \)
c. 42,\( -42 ; 3,-3 \)
D. 42,3: 42,3
Subject: Physics
The variation of lengths of two metal
rods \( A \) and \( B \) with change in
temperature are shown in figure.
The coefficients of linear expansion \( \boldsymbol{\alpha}_{\boldsymbol{A}} \)
for the metal \( A \) and the temperature \( T \)
will be :
(Given \( \left.\alpha_{B}=9 \times 10^{-6} /^{\circ} \mathrm{C}\right) \)
\( \mathbf{A} \cdot \alpha_{A}=3 \times 10^{-6} /^{\circ} \mathrm{C}, 500^{\circ} \mathrm{C} \)
B . \( \alpha_{A}=3 \times 10^{-6} /^{\circ} \mathrm{C}, 222.22^{\circ} \mathrm{C} \)
C \( \cdot \alpha_{A}=27 \times 10^{-6} /^{\circ} \mathrm{C}, 500^{\circ} \mathrm{C} \)
D. \( \alpha_{A}=27 \times 10^{-6} /^{\circ} \mathrm{C}, 222.22^{\circ} \mathrm{C} \)
Subject: Chemistry
(i) Write down the IUPAC name of the following complex:
\[
\left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right]\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}
\]
(ii) Write the formula for the following
complex:

Potassium tetracyanidonickelate(II)
Subject: Chemistry
The complex ion \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+} \) is:
A. tetrahedral and paramagneticç
B. tetrahedral and diamagnetiç
c. square planar and paramagnetiç
D. square planar and diamagnetiç
Subject: Physics
A piece of wire of resistance \( \boldsymbol{R} \) is cut
into five equal parts out of which four of them are connected to forms a square
\( A B C D . \) The fifth one is connected
diagonally across \( B D . \) If a battery is
connected across \( A C, \) what would be
the equivalent resistance in the circuit?
A. \( R / 25 \)
в. \( 4 R / 5 \)
c. \( R / 5 \)
D. \( 2 R / 5 \)
Subject: Physics
A circular road of radius 1000 m has
banking angle \( 45^{0} . \) The maximum safe speed \( \left(\text { in } m s^{\wedge}\{-1\} \$ \$\right) \) of a car having a mass \( 2000 \mathrm{kg} \) will be (if the coefficient of friction between tyre and road is 0.5 )
A . 172
B. 124
c. 99
D. 86
Subject: Chemistry
\( A+2 B=4 C . \) The rate of appearance of
\( C \) at a time \( t \) is \( 1.5 x \)
\( 10^{-3} \) mol \( L^{-1} \) sec \( ^{-1} \). What will be the
instantaneous rate of the reaction?
A \( .6 .0 \times 10^{-3} \)
В. \( 1.5 \times 10^{-3} \)
c. \( 0.675 \times 10^{-3} \)
D. \( 0.375 \times 10^{-3} \)
Subject: Chemistry
Consider the following statements with respect to lanthanides:
1. The basic strength of hydroxides of
lanthanides increases from \( \boldsymbol{L} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{3} \)
to \( \boldsymbol{L} \boldsymbol{u}(\boldsymbol{O} \boldsymbol{H})_{3} \)
2. The lanthanide ions
\( L u^{3+}, Y b^{2+} \) and \( C e^{4+} \) are diamagnetic.
Which of the statement(s) given above is/are correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
Subject: Physics
A liquid takes 5 minutes to cool from 80
\( ^{o} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \). How much time will it take
to cool from \( 60^{\circ} \mathrm{C} \) to \( 30^{\circ} \mathrm{C} ? \)
(Temperature of the surrounding \( \left.=20^{\circ} \mathrm{C}\right) \)
A. 10 minutes
B. 15 minutes
c. 5 minutes
D. 7.5 minutes
Subject: Biology
Select the correct pattern of
arrangement of reproductive structures
for gymnosperms.
A. Spores \( \rightarrow \) Sporophylls \( \rightarrow \) Sporangia \( \rightarrow \) Strobill
B. Spores \( \rightarrow \) Sporangia \( \rightarrow \) Sporophylls \( \rightarrow \) Strobili
c. sporangia \( \rightarrow \) Sporophylls \( \rightarrow \) Spores \( \rightarrow \) Strobili
D. Spores \( \rightarrow \) Sporangia \( \rightarrow \) Strobili \( \rightarrow \) Sporophylls
Subject: Chemistry
Assertion
According to crystal field theory, during
complex formation, the d- orbitals split
and form two sets of orbitals \( t_{2 g} \) and \( e_{g} \)
Reason

Splitting of \( \mathrm{d} \) - orbitals occurs only in case of strong field ligand
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
For each real \( \boldsymbol{x}, \) let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \max \left\{x, x^{2}, x^{3}, x^{4}\right\}, \) then \( f(x) \) is
A . \( x^{4} \) for \( x \leq-1 \)
B . \( x^{2} \) for \( -1<x \leq 0 \)
c. \( f\left(\frac{1}{2}\right)=\frac{1}{2} \)
D. \( f\left(\frac{1}{2}\right)=\frac{1}{4} \)
Subject: Physics
The \( v-t \) plot of a moving objects is
shown figure. the average velocity of the
objects that first 10 seconds is then
\( A \cdot 0 \)
B . \( 2.5 \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 5 m s^{-1} \)
D. \( 2 m s^{-1} \)
Subject: Physics
The following four wires of length \( L \) and radius \( r \) are made of the same material
Which of these will have the largest
extension, when the same tension is
applied?
A. \( L=100 \mathrm{cm}, r=0.2 \mathrm{mm} \)
В. \( L=200 c m, r=0.4 m m \)
c. \( L=300 c m, r=0.6 m m \)
D. \( L=400 \mathrm{cm}, r=0.8 \mathrm{mm} \)
Subject: Physics
Two thin lenses of focal lengths
\( f_{1} \) and \( f_{2} \) are in contact and co-axial.
the combination is equivalent to single lens of power
A \( \cdot f_{1}+f_{2} \)
в. \( \frac{f_{1} f_{2}}{f_{1}+f_{2}} \)
c. \( \frac{f_{1}+f_{2}}{2} \)
D. \( \frac{f_{1}+f_{2}}{f_{1} f_{2}} \)
Subject: Physics
A proton enters a magnetic field of flux density \( 1.5 W b / m^{2} \) with a speed of \( 2 \times \)
\( 10^{7} \mathrm{m} / \mathrm{s} \) at angle of \( 30^{\circ} \) with the field.
The force on a proton will be
A. \( 0.44 \times 10^{-12} N \)
B . \( 2.4 \times 10^{-12} N \)
c. \( 24 \times 10^{-12} N \)
D. \( 0.024 \times 10^{-12} N \)
Subject: Chemistry
Under 3 atm, 12.5 litre of a gas weighs
15 gm. What will be the average speed of gaseous molecules?
A \( \cdot 8.028 \times 10^{4} \mathrm{cm} / \mathrm{sec} \)
B. \( 6.028 \times 10^{2} \mathrm{cm} / \mathrm{sec} \)
c. \( 8.028 \times 10^{5} \mathrm{cm} / \mathrm{sec} \)
D. \( 6.028 \times 10^{4} \mathrm{cm} / \mathrm{sec} \)
Subject: Maths
A man is known to speak the truths 3 out of 4 times. He throw a die and report
that it is six. The probability that it is actually a six, is
A \( \cdot \frac{3}{8} \)
B. \( \frac{1}{5} \)
\( c \cdot \frac{3}{4} \)
D. None of these
Subject: Physics
Two parallel plate air capacitors have the same separation. The plates of the first are squares of side \( 10 \mathrm{cm} . \) The
plates of the second are squares of side \( 20 \mathrm{cm} . \) The ratio of their capacitance is :
\( A \cdot 2: \)
B. 1: 2
\( c \cdot 4: 1 \)
D. 1: 4
Subject: Physics
A slab of glass, of thickness \( 6 \mathrm{cm} \) and
refractive index \( \mu=1.5 \) is placed in
front of a concave mirror as shown in
the figure. If the radius of curvature of
the mirror is \( 40 \mathrm{cm} \) and the reflected
image coincides with the object, then
the distance of the object from the
mirror is :
\( A .30 \mathrm{cm} \)
B. 22 \( \mathrm{cm} \)
c. \( 42 \mathrm{cm} \)
D. 38 cm
Subject: Biology
One hormone hastens the maturity period in juvenile conifers, a second hormone controls xylem differentiation while the third increases the tolerance
of plants to various stresses. They are
respectively
A. Auxin, gibberellin and cytokinin
B. Gibberellin, auxin, cytokinin
c. Gibberellin, auxin, ethylene
D. Gibberellin, auxin, ABA
E. Auxin, gibberellin, ABA
Subject: Physics
A ball of mass m moving with a constant velocity u strikes against a ball of same mass at rest. If e is the
coefficient of restitution, then what will be the ratio of velocity of two balls after collision?
A \( \cdot \frac{1-e}{1+e} \)
в. \( \frac{e-1}{e+1} \)
c. \( \frac{1+e}{1-e} \)
D. \( \frac{e+1}{e-1} \)
Subject: Chemistry
An example of oxidation-reduction
reaction is:
\( \mathbf{A} \cdot B C l_{3}+C l^{-} \rightarrow B C l_{4} \)
B. \( H C N+H_{2} O \rightarrow H_{3} O^{+}+C N^{-} \)
\( \mathbf{c} \cdot H_{2} O_{2}+2 B r^{-}+2 H^{+} \rightarrow 2 H_{2} O+B r_{2} \)
D. \( 2 N H_{3}(g) \rightarrow N_{2}(g)+3 H_{2}(g) \)
Subject: Maths
\( \frac{a^{2}-b^{2}-2 b c-c^{2}}{a^{2}+b^{2}+2 a b-c^{2}} \) is equivalent to
A \( \cdot \frac{a+b+c}{a-b+c} \)
в. \( \frac{a-b-c}{a+b-c} \)
c. \( \frac{a-b-c}{a-b+c} \)
D. \( \frac{a-b+c}{a+b+c} \)
Subject: Maths
The parallel sides of a trapezium are \( x \) and y in length. The length of the line segement joining the mid points of the non parallel sides is
A. \( \frac{x+y}{2} \)
в. \( x+y \)
c. \( \frac{2 x+3 y}{2} \)
D. \( \frac{x y}{2} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{1} & -\mathbf{4}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{1} & -\mathbf{2} \\ -\mathbf{1} & \mathbf{3}\end{array}\right] \)
then verify that \( (A B)^{-1}=B^{-1} A^{-1} \)
Subject: Maths
There are 3 men and 2 women. a
'Gramswachhatta Abhiyan' committee of two is to be formed:
\( P \) is event that the committee should
contain at least one woman.
\( Q \) is event that the committee should
contain one man and one women.
\( R \) is the event there should not be a
women in the committee.
\( S \) is the sample space.
Which of the following options is
correct?
A \( . n(S)=10, n(P)=7, n(Q)=1, n(R)=3 \)
В. \( n(S)=10, n(P)=7, n(Q)=3, n(R)=3 \)
c. \( n(S)=10, n(P)=7, n(Q)=2, n(R)=3 \)
D. \( n(S)=10, n(P)=7, n(Q)=6, n(R)=3 \)
Subject: Maths
Water flows out through a circular pipe whose internal diameter is \( 2 \mathrm{cm} \), at the
rate of 6 metre per second into a cylindrical tank, the radius of whose base is \( 60 \mathrm{cm} \). By how much will the
level of water rise in 30 minutes?
A \( .2 m \)
в. \( 3 m \)
\( c .4 m \)
D. \( 5 m \)
Subject: Chemistry
A cylinder containing \( \boldsymbol{H}_{2} \boldsymbol{O}(l) \) and
\( N_{2}(g) \) at \( 25^{\circ} C \) recorded a pressure of 500 mbar. The volume of cylinder is reduced to half by forcing the piston downward at the same temperature, the
new pressure reading would be (aqueous tension \( =23 \) mbar):
A. 977 mbar
B. 1000 mbar
c. 1100 mbar
D. 1023 mbar
Subject: Chemistry
For the following cell having a hydrogen
electrode and a normal calomel
electrode, the electromotive force (EMF)
is \( 0.634 \mathrm{V} \) at \( 298 \mathrm{K} \)
\( \boldsymbol{P t}\left[\boldsymbol{H}_{2}(\boldsymbol{1} \boldsymbol{a} \boldsymbol{t m}) \mid \boldsymbol{H}^{+}(\boldsymbol{p} \boldsymbol{H}=\boldsymbol{x}) \|\right. \)
\( \boldsymbol{K} \boldsymbol{C l}(\mathbf{1} \boldsymbol{N})\left|\boldsymbol{H} \boldsymbol{g}_{2} \boldsymbol{C l}_{2}(\boldsymbol{s})\right| \boldsymbol{H} \boldsymbol{g}(l) \)
If \( E^{o} \) of \( C l^{-}\left|H g_{2} C l_{2}\right| H g \) is \( 0.28 \mathrm{V} \), then
select the incorrect statements.
This question has multiple correct options
A. The cell reaction is \( H_{2}(s)+2 H g(l)+2 C l^{-}(g) \rightarrow \)
\( 2 H^{+}(l)+H g_{2} C l_{2}(s) \)
B. The value of \( x \) is 5
c. The value of \( x \) is 6
D. If semi-normal calomel cathode is used in place of normal cathode cell, then the emf will decrease
Subject: Physics
In a transistor output characteristics
commonly used in common emitter con
ig ration, the base current \( \boldsymbol{I}_{B}, \) the
collector current \( I_{C} \) and the collector-
emitter voltage \( V_{C E} \) have values of the
following orders of magnitude in the
active region
\( \mathbf{A} \cdot I_{B} \) and \( I_{C} \) both are in \( \mu A \) and \( V_{C E} \) in Volts
B. \( I_{B} \) is in \( \mu A \), and \( I_{C} \) is in \( m A \) and \( V_{C E} \) in Volts
\( \mathbf{C} \cdot I_{B} \) is in \( m A, \) and \( I_{C} \) is in \( \mu A \) and \( V_{C E} \) in \( m V \)
D. \( I_{B} \) is in \( m A \), and \( I_{C} \) is in \( m A \) and \( V_{C E} \) in \( m V \)
Subject: Chemistry
The vapour pressure of two pure liquids \( A \) and \( B, \) that form an ideal solution are
100 and 900 torr respectively at temperature T. This liquid solution of \( \mathbf{A} \) and B is composed of 1 mole of A and 1 mole of B. What will be the pressure,
when 1 mole of mixture has been
vapourized?
A. 800 torr
B. 500torr
c. 300 torr
D. None of these
Subject: Maths
If \( \boldsymbol{x}=\cos t \) and \( \boldsymbol{y}=\ln t ; \) then at \( \boldsymbol{t}=\frac{\boldsymbol{\pi}}{2} \)
\( \left(\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}\right) \) is equal to
A . 0
B. - -
\( c .1 \)
\( D \)