AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Assertion
A simple has undivided. lamina
Reason
Leaves showing pinnate and palmate
venation have various type of incision.
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: Chemistry
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) ; \quad \Delta H=56.9 k J \)
Which of the following will increase the
yield of \( N O_{2} \) of the equilibrium
reaction?
A . Adding \( N_{2} O_{4} \)
B. Heating the reaction container
c. cooling the reaction container
D. Adding a catalyst
Subject: Physics
The number of turns per unit length of a
long solenoid is \( 10 . \) If its average radius is \( 5 \mathrm{cm} \) and it carries a current of \( 10 \mathrm{A} \)
then the ratio of flux densities obtained
at the centre and at one endpoint will be
A .1: 2
B . 2: 1
c. 1: 1
D. 1: 4
Subject: Maths
The focus of the parabola \( \boldsymbol{y}^{2}-\boldsymbol{x}- \)
\( 2 y+2=0 \) is
\( ^{\mathrm{A}} \cdot\left(\frac{1}{4}, 0\right) \)
в. (1,2)
c. \( \left(\frac{5}{4}, 1\right) \)
D. \( \left(\frac{3}{4}, \frac{5}{2}\right) \)
Subject: Chemistry
When \( K M n O_{4} \) acts as an oxidising agent and ultimately forms \( \left[M n O_{4}\right]^{2-} \) \( M n O_{2}, M n_{2} O_{3}, M n^{2+}, \) then the
number of electrons transferred in each
case respectively is:
A .4,3,1,5
B. 1, 5, 3, 7
\( c \cdot 1,3,4,5 \)
D. 3, 5, 7,
Subject: Maths
If \( \hat{a} \) and \( \hat{b} \) are unit vectors inclined at an
angle \( \theta \), then prove that
\( \cos \frac{\boldsymbol{\theta}}{\mathbf{2}}=\frac{\mathbf{1}}{\mathbf{2}}|\hat{\boldsymbol{a}}+\hat{\boldsymbol{b}}| \)
Subject: Physics
Two particle \( A \) and \( B \) having initial position (0,0) \( \mathrm{m} \) and \( \left(\frac{48}{5}, \frac{36}{5}\right) m . \) Their initial velocity is \( (4 \hat{i}+3 \hat{j}) \mathrm{m} / \mathrm{s} \) and \( (-4 \hat{i}-3 \hat{j}) \mathrm{m} / \mathrm{s} \) respectively. Both have same acceleration \( \vec{a}=-9 \hat{j} \mathrm{m} / \mathrm{s}^{2} . \) Then
two particles will collide after time
A . \( 1.2 \mathrm{s} \)
B. 12 s
\( c \cdot 2.4 \mathrm{s} \)
D. They will not collide
Subject: Maths
If \( f(x)=\frac{1}{2} x-1, \) then on the interval
\( [\mathbf{0}, \boldsymbol{\pi}] \)
A \( \cdot \tan (f(x)) \) and \( \frac{1}{f(x)} \) are continuous
в.
\( \tan (f(x)) \) and \( \frac{1}{f(x)} \) are discontinuous
c. \( \tan (f(x)) \) is continuous but \( \frac{1}{f(x)} \) is discontinuous
D \( \cdot \tan (f(x)) \) is discontinuous but \( \frac{1}{f(x)} \) is continuous
Subject: Chemistry
(a) Volume of one molecule of
\( \boldsymbol{H}_{2} \boldsymbol{O}\left(\boldsymbol{d}=\mathbf{1} \boldsymbol{g}^{-\mathbf{3}}\right) \)
(b) Radius of \( \boldsymbol{H}_{2} \boldsymbol{O} \) molecule (assuming if spherical)
Subject: Maths
If \( \boldsymbol{x}=(-\mathbf{3}), \) then find the value of
\( \left(x^{2}\right)^{3} \times\left(\frac{1}{x}\right)^{4} \times x \)
A \( \cdot(-25) \)
B . (-27)
c. (-15)
D. None of these
Subject: Chemistry
The heat liberated on complete
combustion of \( 7.8 g \) benzene is \( 327 k J \)
This heat has been measured at
constant volume and at \( 27^{\circ} \mathrm{C} \). Calculate
the heat combustion of benzene at
constant pressure.
\( \left(\boldsymbol{R}=\mathbf{8 . 3 1} \boldsymbol{J} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
A. \( -323.7 k J \) mol \( ^{-1} \)
В. \( -3273.7 k J \) mol\( ^{-1} \)
c. \( 273.7 k J \) mol \( ^{-1} \)
D. \( 3273.7 k J \) mol \( ^{-1} \)
Subject: Maths
The contrapositive of \( \sim \boldsymbol{p} \rightarrow(\boldsymbol{q} \rightarrow \sim \boldsymbol{r}) \)
is
\( \mathbf{A} \cdot(q \wedge r) \rightarrow p \)
в. \( (q \rightarrow r) \rightarrow p \)
c. \( (q \vee r) \rightarrow p \)
D. None of these.
Subject: Maths
The inverse of \( \left[\begin{array}{lll}1 & a & b \\ 0 & x & 0 \\ 0 & 0 & 1\end{array}\right] \) is
\( \left[\begin{array}{ccc}1 & -a & -b \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \) then \( x= \)
\( A \)
в.
\( c .0 \)
\( D \)
Subject: Chemistry
Assertion:
A catalyst enhances the rate of a reaction.
Reason:
The energy of activation of the reaction is lowered in the presence of a catalyst.
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 is incorrect but Reason is correct
Subject: Physics
For the situation described in figure
the magnetic field changes with time
\( \operatorname{according} \) to \( \boldsymbol{B}=\left(\mathbf{2} . \mathbf{0 0} \boldsymbol{t}^{3}-\mathbf{4 . 0 0} \boldsymbol{t}^{2}+\right. \)
0.8)\( T \) and \( r_{2}=2 R=5.0 \mathrm{cm} \)
a) Calculate the force on an electron
located \( a t P_{2} \) at \( t=2.00 s \)
b) What are the magnitude and
direction of the electric field at \( P_{1} \) when
\( t=3.00 \mathrm{s} \) and \( r_{1}=0.02 m \)
Subject: Chemistry
Flourobenzene \( \left(C_{6} H_{5} F\right) \) can be
synthesised in the laboratory:
A. by heating phenol with \( H F \) and \( K F \)
B. from aniline by diazotisation followed by heating the diazonium salt with \( H B F_{4} \)
C. by direct fluorination of benzene with \( F_{2} \) gas
D. by reacting \( P h B r \) with \( N a F \) solution
Subject: Physics
A \( 20 \mathrm{kg} \) block is in motion on a rough horizontal surface. A horizontal force of
\( 60 \mathrm{N} \) is requited to keep the body moving with constant speed. Then the coefficient of kinetic friction is \( 3 \times \)
\( 10^{-x} . \) Find the value of \( x .\left(g=10 m s^{-2}\right) \)
Subject: Chemistry
Plaster of Paris has the formula:
A. \( \operatorname{CaSO}_{4} \cdot(1 / 2) \mathrm{H}_{2} \mathrm{O} \)
в. \( \operatorname{CaSO}_{4} . \mathrm{H}_{2} \mathrm{O} \)
\( \mathrm{c} \cdot \operatorname{CaSO}_{4} \cdot 2 \mathrm{H}_{2} \mathrm{O} \)
D. none of the above
Subject: Maths
Find 'c' of Lagrange's mean-value
theorem for
(i) \( f(x)=\left(x^{3}-3 x^{2}+2 x\right) \) on \( \left[0, \frac{1}{2}\right] \)
(ii) \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{2 5}-\boldsymbol{x}^{2}} \) on \( [\mathbf{0}, \mathbf{5}] \)
(iii) \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\boldsymbol{x}+\boldsymbol{2}} \) on \( [\boldsymbol{4}, \boldsymbol{6}] \)
Subject: Chemistry
Some of the following gases are soluble
in water due to formation of their ions:
\( 1-C O_{2} \)
\( \|-N H_{3} \)
III - \( \boldsymbol{H} \boldsymbol{C l} \)
\( \mathbf{I V}-\boldsymbol{C} \boldsymbol{H}_{\mathbf{4}} \)
\( \mathbf{V}-\boldsymbol{H}_{\mathbf{2}} \)
Water soluble gases can be:
A . I, IV, V
B. I, \( v \)
c. ।, ॥।, ॥।
D. IV, v
Subject: Biology
Match the terms to these definitions.
gastrovascular cavity, coelom, tubewithin-a-tube body plan, pseudocoelom, sac body plan schizocoelom, metamorphosis, segmentation, aemocoel, homeothermic, poikilotherm
al, notochord, deuterostome, vertebral column,
protostome

Body cavity lying between the digestive tract and body wall that is completely lined by mesoderm.
Subject: Chemistry
Assertion: A salt dissolved in an organic solvent will be a good electrical
conductor.

Reason: Salts will not dissolve
appreciably in an organic solvent.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Physics
At \( t=2 s, \) the position of central
maxima is
A. \( 2 m m \) above \( C \)
B. \( 2 m m \) below \( C \)
\( \mathrm{c} .4 \mathrm{mm} \) above \( C \)
D. \( 4 m m \) below \( C \)
Subject: Chemistry
\( 5 g \) each of \( C a C O_{3} \) and \( S r C O_{3} \) was
shaken well in a litre of water.
Concentration of \( \boldsymbol{C} \boldsymbol{a}^{2+}, \boldsymbol{S} \boldsymbol{r}^{2+} \) and \( \boldsymbol{C} \boldsymbol{O}_{3}^{2-} \)
will be:
\( \boldsymbol{K}_{s p_{C a C o_{3}}}=4.8 \times 10^{-9} \) and \( K_{s p_{s r C O_{3}}}= \)
\( 1.1 \times 10^{-10} \)
\( \mathbf{A} \cdot\left[C a^{2+}\right]=7.0 \times 10^{-5} M,\left[S r^{2+}\right]=1.50 \times 10^{-6} M \)
\( \left[C O_{3}^{2-}\right]=6.85 \times 10^{-5} M \)
В. \( \left[C a^{2+}\right]=1.50 \times 10^{-6} M,\left[S r^{2+}\right]=7.0 \times 10^{-5} M \)
\( \left[C O_{3}^{2-}\right]=6.85 \times 10^{-5} M \)
C \( \cdot\left[C a^{2+}\right]=6.85 \times 10^{-5} M,\left[S r^{2+}\right]=1.50 \times 10^{-6} M \)
\( \left[C O_{3}^{2-}\right]=7.0 \times 10^{-5} M \)
D. None of these
Subject: Chemistry
Read the following questions for \( \mathrm{N}, \mathrm{P}, \mathrm{C} \) Si elements.
(i) Element which has least atomic radii
(ii) Element which has maximum
ionization energy
(iii) Element which has least electron
affinity
(iv) Element which has Maximum
electronegativity Select the correct code of elements for
given questions respectively.
A. P N P N
B. N N N N
c. \( \mathrm{N} \) N P N
D. \( C C C C \)
Subject: Maths
ff \( x^{18}=y^{21}=z^{28}, \) prove that 3
\( \mathbf{3} \log _{y} \boldsymbol{x}, \mathbf{3} \log _{z} \boldsymbol{y}, \mathbf{7} \log _{\boldsymbol{x}} \boldsymbol{z} \) form an A.P.
Subject: Chemistry
A metal carbonate \( X \) on reacting with an acid gives a gas which when passed through a solution Y gives the carbonate back. On the other hand, a
gas G that is obtained at anode during electrolysis of brine is passed on dry \( Y, \) it gives a compound Z,used for disinfecting drinking water. Identity \( \mathbf{X} \)
\( Y, G \) and \( Z . \) Also,write the chemical
reactions involved.
Subject: Physics
Rewrite the following table so as to
match the second and third columns
with the first column:
Column I \( \quad \) Column II \( \quad \) Column \( \begin{array}{l}\text { (1) Dispersion } \\ \qquad \begin{array}{l}\text { Long- } \\ \text { Sightedness }\end{array} & \begin{array}{l}\text { Twinkling } \\ \text { of stars }\end{array}\end{array} \) Splitting of
\( \begin{array}{ll}\text { (2) Refraction } & \text { White light into } \\ \text { component } \\ \text { colors. }\end{array} \)
\( \begin{array}{ll}\text { (3) } & \text { Change in the } \\ \text { Hypermetropia } & \text { direction of ray } \\ \text { of light due to } & \text { Spectrum } \\ \text { change in } & \text { of seven } \\ \text { medium. } & \text { colours }\end{array} \)
Subject: Chemistry
\( \ln O_{2} \) and \( H_{2} O_{2}, \) the \( O-O \) bond lengths are 1.21 and \( 1.48 \dot{A} \)
respectively. In ozone, the average \( \boldsymbol{O}- \)
O bond length is:
A \( .1 .28 \AA \)
В. 1.18 А
c. \( 1.44 \dot{h} \)
D . \( 1.52 \hat{h} \)
Subject: Maths
If \( m \) and \( n \) are order and degree of the equation \( \left(\frac{d^{2} y}{d x^{2}}\right)^{5}+4 \cdot \frac{\left(\frac{d^{2} y}{d x^{2}}\right)^{3}}{\left(\frac{d^{3} y}{d x^{3}}\right)}+ \)
\( \left(\frac{\boldsymbol{d}^{3} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{3}}\right)=\boldsymbol{x}^{2}-\mathbf{1}, \) then
A \( . m=3, n=3 \)
в. \( m=3, n=2 \)
c. \( m=3, n=5 \)
D. \( m=3, n=1 \)
Subject: Maths
Which is the greatest side in the following triangle? \( \angle \boldsymbol{A}: \angle \boldsymbol{B}: \angle \boldsymbol{C}=\mathbf{4}: \mathbf{5}: \mathbf{6} \)
\( \mathbf{A} \cdot A B \)
в. \( B C \)
\( c . A C \)
D. cannot be determined
Subject: Chemistry
The Van't Hoff equation is :
A \( \cdot \Delta G^{\circ}=R T l o g_{e} K_{p} \)
в. \( -\Delta G^{\circ}= \) RTloge \( K_{p} \)
\( \mathbf{c} \cdot \Delta G^{\circ}=R T^{2} l n K_{p} \)
D. None of the above
Subject: Maths
Assertion
The order of the differential equation whose primitive is \( y=A+\ln B x \) is 2
Reason
f there are 'n' independent arbitrary constant in a family of curve then the order of the corresponding differential equation is 'n'
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
Find the values of \( k \) so that the function
\( f \) is continuous at the indicated point:
\[
\boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}
\boldsymbol{k} \boldsymbol{x}^{2}, & \text { if } \boldsymbol{x} \leq \boldsymbol{\pi} \\
\cos \boldsymbol{x}, & \text { if } \boldsymbol{x}>\pi
\end{array}\right.
\]
at \( \boldsymbol{x}=\boldsymbol{\pi} \)
Subject: Maths
If \( A \) is a square matrix of order \( 3, \) then \( \left|A d j\left(A d j A^{2}\right)\right|= \)
A \( \cdot\left|A^{2}\right| \)
B \cdot \( \left|A^{4}\right| \)
c. \( \left|A^{8}\right| \)
\( \mathbf{D} \cdot\left|A^{16}\right| \)
Subject: Physics
A force \( F \) acting on an object varies
with distance \( x \) as shown in the figure.
The work done by the force in moving
the object from \( x=0 \) and \( x=20 m \) is
A . \( 500 J \)
B. \( 1000 J \)
c. \( 1500 J \)
D. \( 2000 J \)
Subject: Physics
A van is moving with a speed of 72 \( k m p h \) on a level road, where the
coefficient of friction between tyres and
road is \( 0.5 . \) The minimum radius of
curvature, the road must have, for safe
driving of van, is \( \left(g=10 m / s^{2}\right) \)
A. \( 80 m \)
в. \( 40 \mathrm{m} \)
\( c .20 m \)
D. \( 4 m \)
Subject: Maths
If \( A \) and \( B \) are independent events of \( a \) random experiment such that \( \boldsymbol{P}(\boldsymbol{A} \cap \)
\( B)=\frac{1}{6} \) and \( P(\bar{A} \cap \bar{B})=\frac{1}{3}, \) then \( P(A) \)
is equal to
A \( \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{5}{7} \)
D. None of these
Subject: Chemistry
Assertion
Alkali metals dissolves in liquid ammonia to give blue solution
Reason
Alkali metals in liquid ammonia give solvated species of the type \( \left[\mathbf{M}\left(\mathbf{N} \mathbf{H}_{3}\right)_{\mathbf{n}}\right]^{+}(\mathbf{M}= \) alkali metals)
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
c. The Assertion is correct but the Reason is incorrect
D. The Assertion is incorrect but the Reason is correct
Subject: Physics
\( A \) and \( B \) are two hollow metal spheres
of radii \( 50 c m \) and \( 1 m \) carrying charges
\( 0.6 \mu C \) and \( 1 \mu C \) respectively. They are connected externally by a conducting wire. Now the charge flows from :
A. \( A \) to \( B \) till the charges become equal
B. \( A \) to \( B \) till the potentials become equal
c. \( B \) to \( A \) till the charges become equal
D. \( B \) to \( A \) till the potentials become equal
Subject: Physics
A man wearing a wingsuit glides through the air with a constant velocity
of \( 47 m s^{-1} \) at an angle of \( 24^{\circ} \) to the horizontal. The path of the man is shown
in Fig.
The total mass of the man and the
wingsuit is \( 85 k g . \) The man takes a time
of 2.8 minutes to glide from point \( A \) to
point \( \boldsymbol{B} \)

For the movement of the man from \( A \) to
\( B, \) determine:
the decrease in gravitational potential energy decrease in gravitational potential energy \( = \)
Subject: Physics
A block body radiates heat at temperatures \( T_{1} \) and \( T_{2}\left(T_{2}>T_{1}\right) . \) The
frequency corresponding to maximum energy is
A. More at \( T_{1} \)
B. More at \( T_{2} \)
c. Equal for \( T_{1} \) and \( T_{2} \)
D. Independent of \( T_{1} \) and \( T_{2} \)
Subject: Physics
A charge \( Q \) is placed inside the sphere of radius \( a \) then electric potential (magnitude) at the surface of the sphere will be, (symbols have their usual meaning)
\( ^{A} \cdot \frac{K Q}{a} \)
в. \( \frac{2 K Q}{a} \)
c. \( \frac{1}{\frac{2}{a}} \)
D.
Subject: Physics
An inductive coil has a resistance of
100 \( \Omega \). When an a.c. signal of frequency \( 1000 H z \) is fed to the coil, the applied
voltage leads the current by \( 45^{\circ} . \) What
is the inductance of the coil?
\( \mathbf{A} \cdot 10 m H \)
в. \( 12 m H \)
c. \( 16 m H \)
D. \( 20 m H \)
Subject: Physics
A freshly prepared radioactive source of
half-life \( 2 h \) emits radiation of intensity which is 64 times the permissible safe level. The minimum time after which it
would be possible to work safely with this source is
\( \mathbf{A} \cdot 6 h \)
B. \( 12 h \)
\( c .24 h \)
D. \( 28 h \)
Subject: Chemistry
Which one of the following reactions is an example for calcination process?
A \( \cdot 2 A g+2 H C l+(O) \rightarrow 2 A g C l+H_{2} O \)
в. \( 2 Z n+O_{2} \longrightarrow 2 Z \) пО
\( \mathrm{c} \cdot 2 Z n S+3 O_{2} \rightarrow 2 Z n O+2 S O_{2} \)
D. \( M g C O_{3} \rightarrow M g O+C O_{2} \)
Subject: Maths
If \( I=\int e^{x}\left(\frac{x+2}{x+4}\right)^{2} d x, \) then I equals
A \( \cdot \frac{x}{x+4} e^{x}+C \)
в. \( \frac{x-2}{x+4} e^{x}+C \)
c. \( \frac{x+1}{x+4} e^{x}+C \)
D. \( \frac{x-1}{x+4} e^{x}+C \)
Subject: Physics
Assertion
In liquid retaining structures with fixed or floating covers the gas pressurevdeveloped above liquid surface shall be added to the liquid
pressure
Reason
In plane walls, the liquid pressure is resisted by both vertical and horizontal bending moments.
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
\( \ln \Delta A B C, P, Q, R \) are points on
\( B C, C A, A B \) respectively, dividing them in the ratio 1: 4,3: 2 and 3: 7
The point \( S \) divides \( A B \) in the ratio 1: 3
Then \( \frac{|\overrightarrow{\boldsymbol{A P}}+\overline{\boldsymbol{B} Q}+\overline{\boldsymbol{C} \boldsymbol{R}}|}{|\overline{\boldsymbol{C S}}|} \) is
A \( \cdot \frac{1}{5} \)
B. \( \frac{2}{5} \)
\( c \cdot \frac{5}{2} \)
D. \( \frac{7}{10} \)
Subject: Chemistry
Variation of \( \log _{10} K \) with \( \frac{1}{T} \) is shown by the graph in which straight line is at
\( 45^{\circ} \mathrm{C}, \) hence \( \Delta H^{o} \) is:
\( \mathbf{A} \cdot-4.606 k J / m o l \)
B. \( -19.147 k J / \) mol
c. \( 8.314 k J / m o l \)
D. \( 10 k J / m o l \)
Subject: Physics
A long straight horizontal cable carries a current of \( 2.5 \mathrm{A} \) in the direction \( 10^{\circ} \)
south of west to \( 10^{\circ} \) north of east. The
magnetic meridian of the place happens to be \( 10^{\circ} \) west of the geographical meridian. The earth's magnetic field at the location is \( 0.33 \mathrm{G} \) and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable). (At neutral points, magnetic field due to a currentcarrying cable is equal and opposite to the horizontal component of earth's magnetic field)
A. \( 15.15 \mathrm{mm} \)
B . \( 30.15 \mathrm{mm} \)
c. \( 35.15 \mathrm{mm} \)
D. \( 40.15 \mathrm{mm} \)
Subject: Physics
Given in the diagram \( \mathrm{OB}=\mathrm{BA} \). The time
taken to cover \( \mathrm{OB} \) is \( T_{1} \) and the time
take to cover BA is \( T_{2} \), then the ratio
\( \boldsymbol{T}_{1} / \boldsymbol{T}_{2} \) is
\( A_{1}=1 \)
B. >1
\( c .<1 \)
D. cannot be determined
Subject: Physics
Given the arrangement of charge below and the point \( P, \) what do we know for sure?
The distance between adjacent charges is the same for all and the same as the
distance from the nearest charges to
point \( P \)
\( \left(\begin{array}{ll}1.0 & c\end{array}\right) \quad\left(\begin{array}{ll}1.0 & c\end{array}\right) \quad \) op
A. The electric potential at point \( P \) is positive.
B. The electric potential at point \( P \) is negative.
c. The electric potential at point \( P \) is directed down and to the right.
D. The electric potential at point P is directed up and to the left
E. The electric potential at point P is zero.
Subject: Chemistry
The volume of \( 1.5 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4} \) required to
completely neutralize \( 150 \mathrm{mL} \) of \( 2 \mathrm{M} \) NaOH solution is
A . 150 \( \mathrm{mL} \)
B. 200 mL
\( c .100 \mathrm{mL} \)
D. 250 mL
Subject: Maths
The value of \( f(0) \) so that the function \( f(x)=\frac{1-\cos (1-\cos x)}{x^{4}} \) is
continuous everywhere is
A \( \cdot \frac{1}{8} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D. none of these
Subject: Chemistry
What is the molarity of a solution that has 29.25 grams of NaCl dissolved to make \( 1.5 \mathrm{L} \) of a solution?
A . 19.5 М
B. 3.0 М
c. 1.75 М
D. 0.33 м
E \( .1 .0 \mathrm{M} \)
Subject: Physics
toppr
Q Type your question
close to each other. Is the magnitude of
electrostatic force between them
exactly given by \( Q_{1} Q_{2} / 4 \pi \epsilon_{0} r^{2}, \) where \( r \)
is the distance between their centres?
(b) If Coulomb's law involved \( 1 / r^{3} \)
dependence (instead of \( 1 / r^{2} \) ),would Gauss' law be still true?
(c) A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
(d) What is the work done by the field of
a nucleus in a complete circular orbit of the electron? What if the orbit is
elliptical?
(e) We know that electric field is
discontinuous across the surface of a
charged conductor. Is electric potential also discontinuous there?
(f) What meaning would you give to the capacitance of a single conductor?
(g) Guess a possible reason why water has a much greater dielectric constant \( (=80) \) than say, mica \( (=6) \)
Subject: Chemistry
At \( 700 K, C O_{2} \) and \( H_{2} \) react to form
\( C O \) and \( H_{2} O . \) For this process \( K_{c} \) is
0.11. If a mixture of 0.45 mole of \( C O_{2} \)
and 0.45 mole of \( H_{2} \) is heated at \( 700 K \)
(i) Find out the amount of each gas at equilibrium state.
(ii) After equilibrium is reached another
0.34 mole of \( C O_{2} \) and 0.34 mole of \( H_{2} \) are added to the reaction mixture. Find
the composition of the mixture at the
new equilibrium state.
Subject: Maths
If the vector \( -\hat{\mathbf{i}}+\hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \) bisects the
angles between the vector \( \hat{c} \) and the vector \( 3 \hat{i}+4 \hat{j}, \) then the unit vector in
the direction of \( \hat{\boldsymbol{c}} \)
\( \mathbf{A} \cdot 11 \hat{i}+10 \hat{j}+2 \hat{k} \)
B . \( -(11 \hat{i}+10 \hat{j}+2 \hat{k}) \)
c. \( -\frac{1}{15}(11 \hat{i}+10 \hat{j}+2 \hat{k}) \)
D. \( \frac{1}{15}(11 \hat{i}+10 \hat{j}+2 \hat{k}) \)
Subject: Physics
What will be the wave velocity, if the radar gives 54 waves per min and
wavelength of the given wave is \( 10 \mathrm{m} ? \)
\( A \cdot 4 \mathrm{m} \mathrm{s}^{-1} \)
B. \( 6 \mathrm{m} \mathrm{s}^{-1} \)
\( c \cdot 9 m s^{-1} \)
\( D \cdot 5 \mathrm{m} \mathrm{s}^{-1} \)
Subject: Maths
The Venn diagram shows sets \( \boldsymbol{\xi}, \mathrm{P} \) and
\( Q \)
The shaded region in the Venn diagram
represents set:
\( A \cdot P \cap Q \)
в. \( P^{\prime} \cap Q \)
c. \( P \cap Q^{\prime} \)
D. \( P^{\prime} \cap Q^{\prime} \)
Subject: Chemistry
Identify the redox reaction taking place
in a beaker.
\( \left.\mathbf{A} \cdot Z n_{(} s\right)+C u_{(a q)}^{2+} \rightarrow Z n_{(a q)}^{2++}+C u(s) \)
B. \( \left.C u(s)+2 A g_{(a q)}^{+} \rightarrow C u_{(a q)}^{2+}+2 A g_{(} s\right) \)
C \( \left.\cdot C u_{(} s\right)+Z n_{(a q)}^{2+} \rightarrow Z n(s)+C u_{(a q)}^{2+} \)
\( \left.\text { D. }\left.2 A g_{(} s\right)+C u_{(a q)}^{2+} \rightarrow 2 A g_{(a q)}^{+}+C u_{(} s\right) \)
Subject: Physics
Which of the following is Snell's law?
A \( \cdot n_{1} \sin i=\frac{\sin r}{n_{2}} \)
B. \( \frac{n_{1}}{n_{2}}=\frac{\sin r}{\sin i} \)
c. \( \frac{n_{2}}{n_{1}}=\frac{\sin r}{\sin i} \)
D. \( n_{2} \sin i= \) constant
Subject: Chemistry
\( \boldsymbol{S}_{1} \rightarrow \) Conductivity increases on decreasing concentration of electroyte
\( \boldsymbol{S}_{1} \rightarrow \) Molar Conductivity increases on
decreasing concentration of electroyte
\( A \cdot S_{1} \) is true, \( S_{2} \) is False
B. Both \( S_{1} \& S_{2} \) are true
c. Both \( S_{1} \& S_{2} \) are false
D. \( S_{1} \) is false, \( S_{2} \) is true