AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Construct a rectangle \( A B C D \) of lengh 6 \( \mathrm{cm} \) and breadth \( 4 \mathrm{cm} . \) Construct angle bisectors of \( \angle A \) and \( \angle B . \) Let them meet
at 0.The distance of 0 from length \( A B \) is:
A . 3
B. 10
c. 2
D. 8
Subject: Physics
what is the net charge on a conducting sphere of radius \( 19 \mathrm{cm} \) ? given that the
electric field \( 15 \mathrm{cm} \) from the centre of
the sphere is equal to \( 3 \times 10^{3} \mathrm{N} / \mathrm{C} \) and
is directed inward
A. \( -7.5 \times 10^{-5} \mathrm{C} \)
в. \( -7.5 \times 10^{-9} \mathrm{C} \)
c. \( 7.5 \times 10^{-5} C \)
D. \( 7.5 \times 10^{-9} C \)
Subject: Maths
If \( \boldsymbol{\alpha}, \boldsymbol{\beta}, \gamma \) are modulus of the complex
number \( 3+4 i,-5+12 i, 1-i, \) then
the increasing order for \( \alpha, \beta \) and \( \gamma \) is
A \( \cdot \alpha, \gamma, \beta \)
в. \( \alpha, \beta, \gamma \)
\( \mathrm{c} . \gamma, \alpha, \beta \)
D. can't be determined
Subject: Chemistry
Assertion
In any transition series, the magnetic
moment of \( M^{2+} \) ion first increases and
then decreases.
Reason
In any transition series, the number of unpaired electrons first increases, afterwards decrease
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 body of mass ' \( m^{\prime} \) starting from is
acted on by a force producing a velocity \( v=\sqrt{k \times s} \) where \( k \) is a constant and \( s \)
is displacement.The work done by the
force in the first \( ^{\prime} t^{\prime} \) seconds is:
\( \mathbf{A} \cdot m^{2} k^{2} t^{2} / 8 \)
B \( \cdot m k^{2} t^{2} / 4 \)
\( \mathbf{c} \cdot m k^{2} t^{2} / 8 \)
D. \( m^{2} k^{2} t / 4 \)
Subject: Physics
In the following circuit the output \( Y \)
becomes zero for the input
combinations:
\( A \cdot A=1, B=0, C=0 \)
B. \( A=0, B=1, C=1 \)
C. \( A=0, B=0, C=0 \)
D. \( A=1, B=1, C=0 \)
Subject: Physics
Body A is in contact with body B, which is in contact with body C. The
temperature of A is more than B which
is more than C. Which of the following is the correct direction of flow in
accordance with the zeroth law of
thermodynamics.
\( A \cdot A \) to \( B \) to \( c \)
B. A to B and C to B
\( c \cdot c \) to \( B \) to \( A \)
D. B to A and B to C
Subject: Physics
An ideal gas undergoes a
thermodynamic cycle as shown in
figure. Which of the following
statements are correct?
A. Straight line \( A B \) cannot pass through \( O \)
B. During process \( A B \), temperature decreases while during process \( B C \) it increases
C. During process \( B C, \) work is done by the gas against external pressure and temperature of the gas increases.
D. During process \( C A \), work is done by the gas against external pressure and heat supplied to the gas is exactly equal to this work.
Subject: Physics
Bullets of mass \( 10 g \) each are fired from
a machine gun at a rate of 6 bullets/minute. The muzzle velocity of
bullets is \( 100 \mathrm{m} / \mathrm{s} \). The thrust force (in
N) due to firing bullets experienced by the person holding the gun stationary is
\( 10^{-x} . \) Find \( x \)
Subject: Maths
If \( y=\sqrt{\frac{1-\sin ^{-1} x}{1+\sin ^{-1} x}} \) then \( y^{\prime}(0) \) is equal
to
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( 1 / 2 \)
\( c \cdot-1 \)
D. \( \sqrt{2} / 3 \)
Subject: Chemistry
Which of the following is an acidic salt?
A. \( N a H_{2} P O_{2} \)
в. \( \operatorname{NaH}_{2} \mathrm{PO}_{3} \)
\( \mathbf{c} \cdot N a_{2} H P O_{3} \)
D. \( N a_{3} P O_{4} \)
Subject: Maths
If the \( \operatorname{lines} 3 x-4 y-7=0 \) and \( 2 x- \)
\( 3 y-5=0 \) are two diameters of a circle
of area 154 square units, the equation of the circle is :
A. \( x^{2}+y^{2}+2 x-2 y-62=0 \)
B . \( x^{2}+y^{2}-2 x+2 y-62=0 \)
c. \( x^{2}+y^{2}-2 x+2 y-47=0 \)
D. \( x^{2}+y^{2}+2 x-2 y-47=0 \)
Subject: Physics
Find the cosine of the angle between the vectors \( \overrightarrow{\boldsymbol{A}}=(\mathbf{3} \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\mathbf{2} \hat{\boldsymbol{k}}) \boldsymbol{a n d} \hat{\boldsymbol{B}}= \)
\( (2 \hat{i}-2 \hat{j}+4 \hat{k}) \)
A \( \cdot \frac{3}{\sqrt{21}} \)
B. \( \frac{\sqrt{12}}{\sqrt{21}} \)
c. \( \frac{9}{\sqrt{21}} \)
D. \( \frac{3}{\sqrt{12}} \)
Subject: Chemistry
Which of the following statement is
incorrect about nucleophiles?
a) Nucleophiles have an unshared
electron pair and can make use of this to react with an electron deficient
species
b) The nucleophilicity of an element (an electron donor) generally increases on going down a group in the periodic table
c) A nucleophile is electron-deficient species
d) All good nucleophiles are good bases when we deal across the period
Subject: Physics
The amount of heat supplied to \( 4 x \) \( 10^{-2} \) kg of nitrogen at room
temperature to rise its temperature by \( 50 C \) at constant pressure is (Molecular
mass of nitrogen is 28 and \( R=8.3 J \)
\( \left.\boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
A \( .2 .08 k J \)
в. \( 3.08 k J \)
c. \( 4.08 k J \)
D. \( 5.08 k J \)
Subject: Chemistry
The equilibrium constant for the
following reactions is \( 1.6 \times 10^{5} \) at
\( 1024 K \)
\( \boldsymbol{H}_{2(g)}+\boldsymbol{B} \boldsymbol{r}_{2(g)} \rightleftharpoons \mathbf{2} \boldsymbol{H} \boldsymbol{B} \boldsymbol{r}_{(\boldsymbol{g})} \)
Find the equilibrium pressure of all gases if 10.0 bar of \( H B r \) is introduced
into a sealed container at \( 1024 K \)
Subject: Physics
Two bodies of masses \( m \) and \( 4 m \) are
placed at a distance \( r . \) The
gravitational potential at a point on the line joining them where the gravitational field is zero is :
A . zero
B. \( -\frac{4 \mathrm{Gm}}{\mathrm{r}} \)
\( c \cdot-\frac{6 G m}{r} \)
D. \( -\frac{9 \mathrm{Gm}}{\mathrm{r}} \)
Subject: Chemistry
How many optically inactive isomers
\( \operatorname{are} \) present in \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C H}(\boldsymbol{O H})- \)
\( \boldsymbol{C H}(\boldsymbol{O H})-\boldsymbol{C O O H} ? \)
A .
B. 2
\( c \)
D. 3
Subject: Chemistry
\( \boldsymbol{C a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \) in baking powder:
A. Behaves as an acid in moist condition and decomposes \( N a H C O_{3} \) to give \( C O_{2} \)
B. Behave as a base in moist condition and gives \( H_{3} P O_{4} \)
c. Behaves as binder
D. Behaves as a filler
Subject: Physics
The value of \( g \) at a height \( h \) above the surface of the earth is the same as at a
depth \( d \) below the surface of the earth.
When both \( d \) and \( h \) are much smaller
than the radius of earth, then which one
of the following is correct
A \( \cdot d=\frac{h}{2} \)
B. \( d=\frac{3 h}{2} \)
\( c \ldots d=2 h \)
\( \mathbf{D} \cdot d=h \)
Subject: Biology
Match the items in column I and
column II and choose the correct option.
II Column Lid
Biomagnificatror
Eutrophication \begin{tabular}{lll|l|l} 
& \multicolumn{2}{l} { Column I } & \multicolumn{2}{l} { Colu } \\
& & & \\
A. & UV & (i) & Bion \\
B. & Biodegradable & (ii) & Eutro \\
C. & DDT & (iii) & Snow \\
D. & Phosphates & (iv) & BOD \\
\hline
\end{tabular} Snow blindness
\( A \)
A-(ii),B-(i), C-(iv), D-(iii)
в. \( A-(\| I), B-(i i), C-(i v), D-(i) \)
\( c \)
A-(iii), B-(iv), C-(i), D-(ii)
B-(i), C-(iv),
D. A-(iii) D-(ii)
Subject: Chemistry
The hybridization of the central atoms of compounds \( A, B, C \) and \( D \) are
\( s p^{3} d, s p^{3}, s p^{2} \) and \( s p \) respectively. If the
compounds \( A \) and \( D \) have the same
shape like \( I_{3}^{-} \) and the compounds \( B \) and \( C \) have the same shape like water
molecule,
then the value of \( \boldsymbol{P}+\boldsymbol{Q}+\boldsymbol{R}+\boldsymbol{S} \) is:
(Given that \( P, Q, R \) and \( S \) are the
number of lone pairs of electrons on
central atoms of compounds \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \) and \( D \) respectively.
Subject: Physics
For intensity \( I \) of a light of wavelength \( \mathbf{5 0 0 0} \boldsymbol{A} \) the photoelectron saturation current is \( 0.40 \mu A \) and stopping
potential is \( 1.36 V, \) the work function of metal is:
A . 2.47 ev
B. 1.36 ev
c. 1.10 ev
D. 0.43 ev
Subject: Maths
A parallelepiped is formed by planes
drawn through the points \( \boldsymbol{P}(\boldsymbol{6}, \boldsymbol{8}, \boldsymbol{1} \boldsymbol{0}) \)
and \( Q(3,4,8) \) parallel to the coordinate
planes. Find the length of edges and diagonals of the parallelepiped.
Subject: Chemistry
Which of the following reactions is not a
redox reaction?
A \( \cdot A g^{+}+C l^{-} \rightarrow A g C l \)
B. \( Z n(s)+C u^{2+}(a q .) \rightarrow Z n^{2+}(a q .)+C u(s) \)
\( \mathrm{c} \cdot 2 M g(s)+O_{2}(g) \rightarrow 2 M g O \)
D. \( F e O+C \rightarrow F e+C O \)
Subject: Maths
If \( \overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{c}}=\mathbf{0},|\overrightarrow{\boldsymbol{a}}|=\mathbf{3},|\overrightarrow{\boldsymbol{b}}|=\mathbf{5},|\overrightarrow{\boldsymbol{c}}|=\mathbf{7} \)
then the angle between \( \vec{a} \) and \( \vec{b} \) is
A \( . \pi / 6 \)
в. \( 2 \pi / 3 \)
c. \( 5 \pi / 3 \)
D . \( \pi / 3 \)
Subject: Physics
Assertion
The Sl unit of volume is \( m^{3} \)
Reason
Volume is a derived quantity of length.
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: Chemistry
Which of the following statement is correct for the attainment of stable
electronic configuration in case of magnesium atom?
A. Magnesium atom attains stable electronic configuration of nearest noble gas-Neon
B. Magnesium atom attains stable electronic configuration by losing two electrons from its valence shel
c. Magnesium atom becomes positively charged magnesium ion after attaining stable electronic configuration
D. All of the above
Subject: Biology
toppr
Q Type your question
A. P-Matrix; Q- Outer chamber; R-F \( M N H_{2} ; \mathrm{S}-N A D H_{2} \)
\( \mathrm{T}-2 \mathrm{H} \)
B. P-Inter membrane space; Q- Matrix; R-NADH+ \( H^{+} ; \) S-
\( N A D^{+} ; \mathrm{T}-2 H^{+} \)
C. P-Inter membrane; Q- Cristae; R- \( N A D^{+} ; \) S-N \( A D H+ \)
\( H^{+} ; \mathrm{T}-H_{2} \)
D. P-Cristae; Q- Outer chamber; R-NADH+H \( ^{+} ; \) S- \( N A D^{+} \),
\( \mathrm{T}-2 H^{+} \)
Subject: Physics
A geo-stationary satellite is orbiting the earth at a height of 6 R above the
surface of earth, R being the radius of earth. The time period of another satellite at a height of \( 2.5 \mathrm{R} \) from the surface of earth is
A. 10 hr
B \( \cdot(-6 / \sqrt{2}) h r \)
\( c \cdot 6 h r \)
D. \( 6 \sqrt{2} h r \)
Subject: Physics
The bodies of different masses \( m_{a} \) and
\( m_{b} \) are dropped from two different
heights i.e., a and b. The ratio of time taken by both bodies to drop through these distance is :
A \( \cdot \sqrt{a}: \sqrt{b} \)
В \( \cdot \frac{m_{a}}{m_{b}}: \frac{b}{a} \frac{b}{a} \)
\( c \cdot a: b \)
\( \mathbf{D} \cdot a^{2}: b^{2} \)
Subject: Maths
Let \( R_{0} \) denote the set of all non-zero real
numbers and let \( \boldsymbol{A}=\boldsymbol{R}_{0} \times \boldsymbol{R}_{0} . \) If \( ^{\prime} *^{\prime} \) is a
binary operation on A defined by \( (a, b) * \) \( (c, d)=(a c, b d) \) for all \( (a, b)(c, d) \in A \)
Show that \( ^{\prime} *^{\prime} \) is both commutative and
associative on \( \mathbf{A} \)
Subject: Physics
Four equal charges, each \( +\boldsymbol{q} \) are placed
at the corners of a square of side \( a \). Then
the coulomb force experienced one charge due to the rest of there is:-
\( ^{\text {A }} \cdot \frac{q^{2}}{k a^{2}}\left[\sqrt{2}+\frac{1}{2}\right] \)
B. \( 3 k q^{2} / a^{2} \)
C \( \cdot 2 \sqrt{2} k q^{2} / a^{2} \)
D. zero
Subject: Maths
Assertion
\( \operatorname{Let} f(x)=\cot ^{-1}\left(\frac{3 x-x^{3}}{1-3 x^{2}}\right), g(x)= \)
\( \cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) \operatorname{then} f(x)=g(x) \) if
\( \boldsymbol{x}=\frac{\sqrt{\mathbf{2 5}-\mathbf{1 0} \sqrt{\mathbf{5}}}}{\mathbf{5}} \)
Reason
\( \sin 18^{\circ}=\frac{\sqrt{5}-1}{4} \)
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
If the area above \( x \) -axis bounded by the curves \( \boldsymbol{y}=\mathbf{2}^{k x}, \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\mathbf{2} \) is
\( \frac{3}{\log 2}, \) then the value of \( k \) is
A \( \cdot \frac{1}{2} \)
B.
c. -1
D.
Subject: Chemistry
Which of the following is incorrect?
A. Hydrogen > Deuterium > Tritium; (\% relative abundance)
B. Hydrogen < Deuterium < Tritium; (density/g \( L^{-1} \) )
C. Hydrogen < Deuterium < Tritium; (boiling point/K)
D. Hydrogen < Deuterium > Tritium; (melting point/K)
Subject: Maths
The plane \( x+2 y-z=4 \) cuts the
sphere \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+\boldsymbol{z}^{2}-\boldsymbol{x}+\boldsymbol{z}-\boldsymbol{2}=\mathbf{0} \) in
a circle of radius
A . 1
B. 3
\( c \cdot \sqrt{2} \)
D.
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{x}^{2}+\boldsymbol{x}+1 \) and
\( \boldsymbol{g}(\boldsymbol{x})= \)
\( \left\{\begin{array}{lll}\max (\boldsymbol{f}(\boldsymbol{t})) & \text { for } & \mathbf{0} \leq \boldsymbol{t} \leq \boldsymbol{x} \\ \boldsymbol{3}-\boldsymbol{x}+\boldsymbol{x}^{2} & \text { for } & \mathbf{1}<\boldsymbol{x} \leq \mathbf{2}\end{array}\right. \)
then
A. \( g(x) \) is continuous and derivable at \( x=1 \)
B. \( g(x) \) is continuous but not derivable at \( x=1 \)
c. \( g(x) \) is neither continuous nor derivable at \( x=1 \)
D. \( g(x) \) is derivable but not continuous at \( x=1 \)
Subject: Chemistry
The oxidation states of central iodine
\( \operatorname{atom} \operatorname{in} I_{2} O_{4} \) and \( I_{4} O_{9} \) are
respectively:
\( \mathbf{A} \cdot+4,+5 \)
B. +3,+3
\( \mathrm{c} \cdot+2,+3 \)
D. +1,+3
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \tan ^{-1}\left[\frac{\boldsymbol{x}^{\mathbf{1} / 3}+\boldsymbol{a}^{\mathbf{1} / 3}}{\mathbf{1}-\boldsymbol{x}^{\mathbf{1} / 3} \boldsymbol{a}^{\mathbf{1} / 3}}\right] \)
Subject: Maths
The order, degree of the \( D . E \)
corresponding to the family of curve
\( \boldsymbol{y}=\boldsymbol{a}(\boldsymbol{x}+\boldsymbol{a})^{2} \) where \( \boldsymbol{a} \) is an arbitrary
constant is
A . 1,2
в. 2,4
\( c .3,1 \)
D. 1,3
Subject: Maths
If \( |\vec{A}+\vec{B}|=|\vec{A}|=|\vec{B}|, \) then angle
between \( \vec{A} \) and \( \vec{B} \) is
A \( \cdot 0^{\circ} \)
B. \( 60^{\circ} \)
\( c .90^{\circ} \)
D. \( 120^{\circ} \)
Subject: Physics
Identical metal plates are located in air at equal distance \( d \) from one another
The area of each plate is equal to \( A \). If
the capacitance of the system between \( P \) and \( Q \) if the plates are interconnected
as shown in the figure is given as \( \frac{x}{3} \varepsilon_{0} \frac{A}{d} \) Find \( x: \)
Subject: Maths
If \( A \) and \( B \) are two event such that
\( P(A)=\frac{6}{11}, P(B)=\frac{5}{11} \) and \( P(A \cup \)
\( B)=\frac{7}{11}, \) find \( P(A r \)
\( \boldsymbol{B}), \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B}), \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) \)
Subject: Physics
Figure here shows the frictional force
versus displacement for a particle in
motion. The loss of kinetic energy in
travelling over \( \boldsymbol{x}=\mathbf{0} \) to \( \mathbf{2 0} \boldsymbol{m} \) will be :
A .250 .
В. 200 .
c. 150 )
D. 10 J
Subject: Chemistry
When \( \ln K \) is plotted against \( \frac{1}{T} \) using the Van't Hoff equation, a straight line is expected with a slope equal to:
A \( \cdot \Delta H^{o} / R T \)
в. \( -\Delta H^{o} / R \)
c. \( \Delta H^{o} / R \)
D. \( R / \Delta H^{\circ} \)
Subject: Chemistry
What would happen when a solution of potassium chromate is treated with an excess of dilute nitric acid?
This question has multiple correct options
A \( \cdot C r_{2} O_{7}^{2-} \) and \( H_{2} O \) are formed
B . \( C r O_{7}^{2-} \) is reduced to +3 state of \( C r \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{7}^{2-} \) is oxidized to +7 state of \( \mathrm{Cr} \)
D. \( C r^{3+} \) and \( C r_{2} O_{7}^{2-} \) are formed
Subject: Physics
A vehicle of mass \( m \) is driven along an un-banked curved path of radius of
curvature \( r \) with a speed \( v \). If \( \mu \) is necessary minimum coefficient of
friction between tyres of vehicle and road so that the vehicle does not skid,
then:
This question has multiple correct options
A \( \cdot \mu \propto v^{2} \)
B \( \cdot \mu \propto \frac{1}{v^{2}} \)
c. \( \mu \propto r \)
D. \( \mu \propto \frac{1}{r} \)
Subject: Maths
\( f(x)=\frac{x}{\log x}-\frac{\log 5}{5} \) is decreasing in
\( A \cdot(e, \infty) \)
B. (0,1) \( \mathrm{U}(1, \mathrm{e}) \)
\( c \cdot(0,1) \)
D. (1, e)
Subject: Maths
Construct a \( \triangle P Q R \) in which \( Q R= \)
\( \mathbf{6} c \boldsymbol{m}, \boldsymbol{P Q}=\mathbf{4 . 4} \boldsymbol{c m} \) and \( \boldsymbol{P} \boldsymbol{R}=\mathbf{5 . 3} \boldsymbol{c m} \)
Draw the bisector of \( \angle P \)
Subject: Maths
Using
(i) or \( (i i) \) above the best upper bound of \( \int_{0}^{1} \sqrt{1+x^{4}} d x \) is
A. \( 1+\sqrt{2} \)
B. \( \frac{1+\sqrt{2}}{2} \)
c. \( \frac{\sqrt{2}-1}{2} \)
D. \( 2(\sqrt{2}-1) \)
Subject: Chemistry
Which of the following is not correct for
enzyme catalysis?
A. The enzyme activity is maximum at optimum pH which is between \( 5-7 \).
B. Each enzyme is specific for a given reaction.
C. The favourable temperature range of enzyme activity is between \( 50-60^{\circ} \mathrm{C} \)
D. The enzymatic activity is increased in presence of certain substances called co-enzymes.
Subject: Maths
If \( \sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{2}, \) then \( \frac{d y}{d x} \) is
equal to
A \( \cdot \frac{x}{y} \)
в. \( -\frac{x}{y} \)
c. \( \frac{y}{x} \)
D. \( -\frac{y}{x} \)
Subject: Chemistry
Statement \( 1: A \) salt dissolved in an
organic solvent will be a good electrical conductor.
Statement 2: Salts will not dissolve
appreciably in an organic solvent.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the Statement 1 and Statement 2 are correct, but 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
Subject: Physics
Two persons having mass \( 50 \mathrm{kg} \) each, are standing such that their centre of
gravities are 1 m apart. Calculate the force of gravitation between them. (Take \( G=6.67 \times 10^{-11} N m^{2} k g^{-2} \)
mass of earth \( M=6 \times 10^{24} k g, \) Radius
of earth \( \left.R=6.4 \times 10^{6} m\right) \)
В. \( 1.67 \times 10^{-7} N \)
c. \( 1.32 \times 10^{-7} N \)
D. \( 1.67 \times 10^{-9} N \)
Subject: Chemistry
Which one of the following could not be liberated from a suitable electrolyte by the passage of 0.25 faraday of electricity through that electrolyte
A. 0.25 mole of \( \mathrm{Ag} \)
B. \( 16 g \) m of \( \mathrm{Cu} \)
\( c \cdot 2 g m \) of \( 0_{2}(g) \)
D. 2.8ltrs of H at stp
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\min \left(|\boldsymbol{x}|^{2}-\mathbf{5}|\boldsymbol{x}|, \mathbf{1}\right) \) then \( \boldsymbol{f}(\boldsymbol{x}) \)
is non differentiable at \( \lambda \) points, then
\( \lambda+13 \) equals
Subject: Maths
If the function \( f(x)=x^{3}-6 x^{2}+a x+ \)
\( b \) satisfies Rolle's theorem in the
interval [1,3] and \( f^{\prime}\left(\frac{2 \sqrt{3}+1}{\sqrt{3}}\right)=0, \) then
A \( . a=-11 \)
B. \( b=-6 \)
\( \mathbf{c} \cdot a=6 \)
D. \( a=11 \)
Subject: Chemistry
\( \mathrm{X} \) and \( \mathrm{Y} \) in the below reaction are
and \( _{-}-_{-}- \) respectively
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{C O}_{2} \boldsymbol{H}+\boldsymbol{X} \stackrel{\text {heat}}{\longrightarrow} \boldsymbol{C}_{6} \boldsymbol{H}_{5}- \)
\( C O C l \frac{H_{2}, P d / B a S O_{4}}{Q u i n o l i n e}> \)
A. \( S O C l_{2} \) and \( C_{6} H_{5} C H O \)
B . \( (C O C l)_{2} \) and \( C_{6} H_{5} C H_{3} \)
c. \( \operatorname{SOCl}_{2} \) and \( C_{6} H_{5} C H_{3} \)
D. \( (C O C l)_{2} \) and \( C_{6} H_{5} C H_{2} O H \)
E \( . S O C l_{2} \) and \( C_{6} H_{5} C H_{2} C l \)
Subject: Chemistry
In a compound \( C, H \) and \( N \) are present
in 9: 1: 3.5 by weight. If the molecular mass of the compound is \( 108, \) what is
the molecular formula?
A \( \cdot C_{6} H_{8} N_{2} \)
в. \( C_{6} H_{7} N \)
c. \( C_{2} H_{8} N_{2} \)
D. \( C_{6} H_{5} N_{2} \)
Subject: Maths
If \( D \) and \( E \) are the mi-points of the
sides \( A B \) and \( A C, \) respectively of the
\( \triangle A B C \) what percent of the whole triangular region is the area of the trapezium \( \boldsymbol{B C E D} \) ?
A . \( 50 \% \)
B . 25\%
c. \( 75 \% \)
D. 60\%
Subject: Physics
The \( x \) and \( y \) coordinates of the particle
at any time are \( x=5 t-2 t^{2} \) and \( y= \)
10t respectively, where \( x \) and \( y \) are in
meters and \( t \) in seconds. The
acceleration of the particle at \( t=2 s \) is:
\( A \cdot 0 \)
В. \( 5 m / s^{2} \)
c. \( -4 m / s^{2} \)
D. \( -8 m / s^{2} \)
Subject: Physics
The earth receives at its surface
radiation from the sun at the rate of
\( 1400 w / m^{2} . \) The distance of the centre
of the sun from the surface of the earth
is \( 1.5 \times 10^{11} m \) and the radius of the
\( \operatorname{sun} \) is \( 7 \times 10^{8} \) m. Treating sun as a
black body, it follows from the above data that its surface temperature is
\( \mathbf{A} .5801 \mathrm{k} \)
В. \( 10^{6} \) к
c. \( 50.1 \mathrm{k} \)
D. \( 5801^{0} \mathrm{C} \)
Subject: Physics
In nuclear fission, \( 0.1 \% \) mass is
converted into energy. The energy released in the fission of \( 1 \mathrm{Kg} \) mass in
KWH is
A \( .2 .5 \times 10^{5} \)
B . \( 2.5 \times 10^{7} \)
c. \( 2.5 \times 10^{9} \)
D. \( 2.5 \times 10^{-7} \)
Subject: Physics
Oxygen is filled in a closed metal jar of volume \( 1.0 \times 10^{-3} m^{3} \) at a pressure of
\( 1.5 \times 10^{5} \) Pa and temperature \( 400 K \)
The jar has a small leak in it. The
atmospheric pressure is \( 1.0 \times 10^{5} \mathrm{Pa} \)
and the atmospheric temperature is \( 300 K . \) Find the mass of the gas that
leaks out by the time the pressure and the temperature inside the jar equalize with the surrounding.
Subject: Chemistry
What is the bond angle between \( C l- \)
\( \boldsymbol{O}-\boldsymbol{C l} \) in \( \boldsymbol{C l}_{2} \boldsymbol{O}_{7} ? \)
A \( \cdot 109^{\circ} \)
B. \( 119^{\circ} \)
\( \mathbf{c} \cdot 108^{\circ} 25^{\prime} \)
D. \( 120^{\circ} \)
Subject: Physics
Consider a car moving at a constant speed of \( 14 \mathrm{m} / \mathrm{s} \) around a level circular bend of radius 45 m.The minimum
coefficient of static friction needed
between the car tyres and the road so that the car goes around the bend without skidding is
A. 0.44
B. 1.0
\( c \cdot 0.03 \)
D. 0.31
Subject: Maths
The lengths of the shorter and longer
parallel sides of a trapezium are \( \boldsymbol{x} \) cm
and \( y \) cm respectively. If the area of the
trapezium is \( \left(x^{2}-y^{2}\right), \) then the height
of the trapezium is:
A . \( x \)
в. \( (x+y) \)
c. \( y \)
D. \( 2(x-y) \)
Subject: Physics
Assertion
A potentiometer having 10 wires is more accurate than the potentiometer
having 1 wire
Reason
Potential gradient of 10 -wire
potentiometer is much less
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