AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Find the value of \( c \) of Rolle's theorem for
\( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}| \) in [-1,1]
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
D. does not exist
Subject: Chemistry
For the reaction \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
if percentage dissociation of \( N_{2} O_{4} \) and
\( 20 \%, 45 \%, 65 \% \) and \( 80 \% \) then the
sequence of observed vapour densities
will be:
A \( \cdot d_{20}>d_{45}>d_{65}>d_{80} \)
В. \( d_{80}>d_{65}>d_{45}>d_{20} \)
C \( . d_{20}=d_{45}=d_{65}=d_{80} \)
D \( \cdot\left(d_{20}=d_{45}\right)>\left(d_{65}=d_{80}\right) \)
Subject: Maths
If the length of the diagonal of a square is increasing at the rate of \( 0.2 \mathrm{cm} / \mathrm{sec} \) then rate of increase of its area when its
side is \( 30 / \sqrt{2} \mathrm{cm}, \) is
\( \mathbf{A} \cdot 3 \mathrm{cm}^{2} / \mathrm{sec} \)
в. \( \frac{6}{\sqrt{2}} \mathrm{cm}^{2} / \mathrm{sec} \)
\( c \cdot \sqrt[3]{2} \mathrm{cm}^{2} / \mathrm{sec} \)
D. \( 6 \mathrm{cm}^{2} / \mathrm{sec} \)
Subject: Maths
If \( \boldsymbol{A}(\mathbf{0}, \mathbf{3}), \boldsymbol{B}(\mathbf{0}, \mathbf{0}), \boldsymbol{C}(\mathbf{4} . \mathbf{0}) \) be the
vertices of a triangle. Then the triangle is
A. isosceles
B. equilateral
c. right angled
D. none of these
Subject: Chemistry
An organic compound undergoes firstorder decomposition. The time taken for its decomposition to \( 1 / 8 \) and \( 1 / 10 \) of its
initial concentration are \( t_{1 / 8} \) and \( t_{1 / 10} \) respectively. The value of \( \frac{\left[t_{1 / 8]}\right.}{\left[t_{1 / 10}\right]} \times 10 \) is \( ? \)
\( \left(\operatorname{take} \log _{10} 2=0.3\right) \)
Subject: Maths
\( S \) is one focus of an ellipse and \( P \) is any point on the ellipse. If the maximum and minimum values of \( S P \) are \( m \) and
\( \boldsymbol{n} \) respectively, then the length of semi
major axis is
A . AM of \( m, n \)
в. G.M. of \( m, n \)
с. нм от \( m, n \)
D. AGP of \( m, n \)
Subject: Chemistry
Combustion of hydrogen in a fuel cell at
\( 300 K J \) is represented as \( 2 H_{2}(g)+ \)
\( O_{2}(g) \rightarrow 2 H_{2} O(g) . \) If \( \Delta H \) and \( \Delta G \) are
\( -241.60 \mathrm{KJ} \mathrm{mol}^{-1} \) and \( -228.40 \mathrm{KJ} \mathrm{mol}^{-1} \)
of \( H_{2} O \) respectively, then the value of
\( \Delta S \) for the above process is
A . 4.4
B . -88」
c. \( +88 J \)
D. -44
Subject: Chemistry
At \( 25^{\circ} \mathrm{C} \) the saturated vapour pressure
of water is 3.165 kPa \( (23.75 \mathrm{mm} \mathrm{Hg}) \) Find the saturated vapour pressure of a \( 5 \% \) aqueous solution of urea (carbamide) at the same temperature.
(Molar mass of urea \( =\mathbf{6 0 . 0 5} \) g \( \boldsymbol{m o l}^{-1} \) )
Subject: Chemistry
Among the following, the incorrect
statement is:
A. Cellulose and amylose has 1,4 -glycosidic linkage
B. Maltose and lactose has 1,4-glycosidic linkage
C. Lactose contains \( \beta \) - D-galactose and \( \beta \) -D-glocose
D. Sucrose and amylose has 1,2-glycosidic linkages
Subject: Chemistry
The general formula of carbohydrates is:
A \( \cdot C_{n} H_{2 n+1} O \)
в. \( C_{n} H_{2 n} O \)
\( \mathbf{c} \cdot C_{n}\left(H_{2} O\right)_{n} \)
D. \( C_{n}\left(H_{2} O\right)_{2 n} \)
Subject: Maths
In the given figure, \( A B \| C D \) and
\( \boldsymbol{E F} \perp \boldsymbol{C D} \) and \( \angle \boldsymbol{G} \boldsymbol{E C}=\mathbf{1 3 2}^{\boldsymbol{o}} . \) Find
\( \angle \boldsymbol{E} \boldsymbol{G} \boldsymbol{F} \)
A \( \cdot 43^{\circ} \)
B. \( 42^{\circ} \)
\( c \cdot 48 \)
\( D \cdot 44^{\circ} \)
Subject: Maths
The \( x \) -component of the resultant of several vectors :-
(a) Is equal to the sum of the \( x \) components of the vectors
(b) May be smaller than the sum of the magnitudes of the vectors
(c) May be greater than the sum of the
magnitudes of the vectors
(d) May be equal to the sum of the magnitudes of the vectors
\( A \cdot a, c, d \)
B. \( a, b, c \)
\( c \cdot a, b, d \)
D. b, c, d
Subject: Physics
A particle of mass \( m \) moves according
to the equation \( \boldsymbol{F}=- \)amr where \( \boldsymbol{a} \) is a
positive constant, \( r \) is radius vector.
\( \boldsymbol{r}=\boldsymbol{r}_{0} \hat{\boldsymbol{i}} \) and \( \boldsymbol{v}=\boldsymbol{v}_{0} \hat{\boldsymbol{j}} \) at \( \boldsymbol{t}=\mathbf{0} . \) Describe
the trajectory.
\( ^{\mathbf{A}} \cdot\left(\frac{x}{r_{0}}\right)^{2}+a\left(\frac{y}{v_{0}}\right)^{2}=1 \)
\( ^{\mathbf{B}} \cdot\left(\frac{x}{r_{0}}\right)^{2}+a\left(\frac{y}{v_{0}}\right)^{2}=0 \)
\( \left(\frac{x}{r_{0}}\right)^{2}+\left(\frac{y}{v_{0}}\right)^{2}=\frac{1}{\alpha} \)
D. none of these
Subject: Physics
If a water particle of mass \( 10 \mathrm{mg} \) and having a charge of \( 1.5 \times 10^{-6} C \) stays
suspended in a room, then the
magnitude and direction of electric field in the room is
A. \( 15 N / C \), vertically upwards
B. 15 N/C, vertically downwards
c. \( 65.3 \mathrm{N} / \mathrm{C} \), vertically upwards
D. \( 65.3 \mathrm{N} / \mathrm{C} \), vertically downwards
Subject: Maths
For what triplets of real numbers \( (a, b, \)
c) with \( a \neq 0 \) the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}\boldsymbol{x} & \boldsymbol{x} \leq \mathbf{1} \\ \boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c} & \text { otherwise }\end{array}\right. \)
differentiable for all real x?
A \( \cdot\{(a, 1-2 a, a) / a \in R, a \neq 0\} \)
в. \( \{(a, 1-2 a, c) / a, c \in R, a \neq 0\} \)
c. \( \{(a, b, c) / a, b, c \in R, a+b+c=1\} \)
D. \( \{(a, 1=2 a, 0) / a \in R, a \neq 0\} \)
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{3}, \mathbf{6}, \mathbf{1 2}, \mathbf{1 5}, \mathbf{1 8}, \mathbf{2 1}\}, \boldsymbol{B}= \)
\( \{\mathbf{4}, \mathbf{8}, \mathbf{1 2}, \mathbf{1 6}, \mathbf{2 0}\}, \boldsymbol{C}= \)
\( \{\mathbf{2}, \mathbf{4}, \mathbf{6}, \mathbf{8}, \mathbf{1 0}, \mathbf{1 2}, \mathbf{1 4}, \mathbf{1 6}\} \) and \( \boldsymbol{D}= \)
\( \{\mathbf{5}, \mathbf{1 0}, \mathbf{1 5}, \mathbf{2 0}\} . \) Find \( \boldsymbol{B}-\boldsymbol{D} \)
Subject: Maths
If \( \triangle A B C \) is right angled at \( A \) and \( A D \perp B C, \) then \( \frac{B D}{D C}= \)
\( ^{\mathrm{A}} \cdot\left(\frac{A B}{A C}\right)^{2} \)
в. \( \frac{A B}{A C} \)
\( ^{\mathrm{c}}\left(\frac{A B}{A D}\right)^{2} \)
D. \( \frac{A B}{A D} \)
Subject: Physics
Water flows in a horizontal tube as
shown in figure. The pressure of water
changes by \( 600 N / m^{2} \) between \( x \) and \( y \)
where the areas of cross - section are 3
\( c m^{2} \) and \( 1.5 c m^{2} \) respectively. Find the
rate of flow of water through the tube.
A \( \cdot 189 \mathrm{cm}^{3} / \mathrm{s} \)
В \( \cdot 159 \mathrm{cm}^{3} / \mathrm{s} \)
c. \( 189 \mathrm{cm}^{2} / \mathrm{s} \)
D. \( 159 \mathrm{cm}^{2} / \mathrm{s} \)
Subject: Maths
In the given figure, we have \( \angle 1=\angle 3 \)
and \( \angle 2=\angle 4 \), then:
4. \( \angle A=\angle C \)
3. \( \angle A=\angle D \)
\( c \cdot \angle A=\angle B \)
\begin{tabular}{l}
\( . \angle B=\angle L \) \\
\hline
\end{tabular}
Subject: Physics
A ball of mass \( =100 g m \) is released
from a height \( h_{1}=2.5 m \) above the
ground level and then rebounds to a
height \( h_{2}=0.625 m . \) The time of
contact of the ball with the ground is \( \Delta t=0.01 \) sec. Find the impulsive
(impact) force offered by the ball on the ground.
Subject: Maths
\( \boldsymbol{f}(\boldsymbol{x})=\sec \boldsymbol{x}-\cos \boldsymbol{x}, \boldsymbol{x} \boldsymbol{\epsilon}(\mathbf{0}, \boldsymbol{\pi} / \mathbf{2}) \)
find \( \mathrm{f}^{\prime}(\mathbf{x}) \)
Subject: Maths
If \( a+i b=\frac{(x+i)^{2}}{2 x^{2}+1}, \) prove that \( a^{2}+ \)
\( b^{2}=\frac{\left(x^{2}+1\right)^{2}}{\left(2 x^{2}+1\right)^{2}} \)
Subject: Chemistry
Assertion
Density \( = \) specific gravity \( \times 0.99823 \) at
\( \mathbf{2 0}^{\circ} \boldsymbol{C} \)
Reason
Density \( = \) specific gravity at \( 4^{\circ} C \)
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
Chemical messengers are received at the binding sites of receptor proteins.
Reason

Chemical messengers gives messages to the cell without entering the cell.
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
In the extraction of silver by Mac-Arther cyanide process, a small amount of
\( K N O_{3} \) is also added as flux. The
function of \( \boldsymbol{K} \boldsymbol{N} \boldsymbol{O}_{3} \) is:
A \( \cdot \) to oxidise \( A g \) in the native from to \( A g^{-} \)
B. to oxidise lead and zinc impurities
c. to form a complex with \( A g^{+} \) which is then reduced to metallic silver by using zinç
D. to oxidise the sulphur in the argentite ore to \( S O_{2} \) which escapes from the reaction
Subject: Maths
Find the area of quadrilateral whose vertices taken in order are
\( \boldsymbol{A}(-\mathbf{3}, \mathbf{2}), \boldsymbol{B}(\mathbf{5}, \mathbf{4}), \boldsymbol{C}(\mathbf{7},-\mathbf{6}) \) and
\( D(-5,-4)(\text { in sq. ut }) \)
Subject: Chemistry
Given the standard potential of the
following at \( 25^{\circ} \mathrm{C} . M n O_{2} \rightarrow M n^{3+} \)
\( \boldsymbol{E}^{\ominus}=\mathbf{0 . 9 5} \boldsymbol{V} \)
\( M n^{3+} \rightarrow M n^{2+} ; E^{\ominus}=1.51 V \)
The standard potential of \( M n O_{2} \rightarrow \)
\( M n^{2+} \) is:
A. \( -0.56 V \)
B . \( -2.46 V \)
c. \( -1.23 V \)
D. \( 1.23 V \)
Subject: Physics
A coil of resistance \( 40 \Omega \) is connected to
a galvanometer of \( 160 \Omega \) resistance. The coil has radius \( 6 \mathrm{mm} \) and turns 100 .
This coil is placed between the poles of a magnet such that magnetic field is perpendicular to coil. If coil is dragged out then the charge through the galvanometer is \( 32 \mu C . \) The magnetic field is?
\( \mathbf{A} \cdot 6.55 \mathrm{T} \)
B . 5.66 न
c. 0.655 न
D. 0.566 न
Subject: Physics
A swimmer swims in still water at a
speed \( =5 k m / h r . \) He enters a \( 200 m \) wide
river, having river flow speed \( =4 k m / h r \) at a point \( A \) and proceeds to swim at an
angle of \( 127^{0}\left(\sin 37^{*}-0.6\right) \) with the
river flow direction. Another point B is located directly across \( A \) on the other side. The swimmer lands on the river
bank at a point C. from which he walks the distance \( \mathrm{CB} \) with a speed \( =3 k m / h r \) The total time in which he reach from \( \mathbf{A} \)
to B is
\( \mathbf{A} \cdot 5 \min \)
B. 4 min
c. 3 min
D. None
Subject: Maths
The mean salary paid per week to 1000 employees of an establishment was found to be Rs. \( 900 . \) Later on, it was
discovered that the salaries of two
employees were wrongly recorded as Rs.
\( \mathbf{7 5 0} \) and Rs. \( \mathbf{3 6 5} \) instead of Rs. \( \mathbf{5 7 0} \) and
Rs. \( 635 . \) Find the corrected mean salary.
A . 900.90
B. 1,115
c. 1,225
D. 900.09
Subject: Chemistry
Which of the following is/are correct statement(s) regarding agricultural
activities as a reason for water
scarcity? This question has multiple correct options
A. A majority of farmers in India depend upon rains for irrigating their crops.
B. Irrigation systems such as canals are there only in a few places
c. Even these systems may suffer from lack of water due to erratic rainfall
D. Farmers have to use groundwater for irrigation
Subject: Maths
The probability that Chakri passes in mathematics is \( \frac{2}{3} \) and the probability that he passes in English is \( \frac{4}{9} . \) If the probability of passing both courses is \( \frac{1}{4}, \) then the probability that Chakri wil pass in at least one of these subjects is \( \mathbf{3 1} \)
立 \( \overline{\mathbf{3 6}} \)
A . True
B. False
c. Ambiguous
D. Data Insufficient
Subject: Physics
A thin uniform rod of length \( L \) is bent at
its midpoint as shown in the figure. The distance of the center of mass from the
point \( ^{\prime} \boldsymbol{O}^{\prime} \) is
A \( \cdot \frac{L}{2} \cos \frac{\theta}{2} \)
B. \( \frac{L}{4} \sin \frac{\theta}{2} \)
c. \( \frac{L}{4} \cos \frac{\theta}{2} \)
D. \( \frac{L}{2} \sin \frac{\theta}{2} \)
Subject: Physics
A 10 kg satellite completes one revolution around the earth at a height of \( 100 \mathrm{km} \) in 108 minutes. The work
done by the gravitational force of earth will be?
A . \( 108 \times 100 \times 10 \) J
в. \( \frac{108 \times 10}{100} \)
c. 0 J
D. \( \frac{100 \times 10}{108} \)
Subject: Physics
A stone projected vertically upwards reaches to the level of window \( 10 \mathrm{m} \) from
the ground. Find the magnitude of velocity of the stone at the time of its projection.
\( \begin{array}{ll}\text { A. } 7 & \text { ms }^{-1}\end{array} \)
В. 36 ms\( ^{-1} \)
\( \begin{array}{ll}\text { c. } 28 & \text { ms }^{-1}\end{array} \)
\( \begin{array}{ll}\text { D. } 14 & m s^{-1}\end{array} \)
Subject: Maths
The maximum value of \( \sin ^{2} x \cos ^{3} x \) is
A \( \cdot \frac{6 \sqrt{3}}{25 \sqrt{5}} \)
В. \( \frac{9 \sqrt{3}}{25 \sqrt{5}} \)
c. \( \frac{9 \sqrt{2}}{6 \sqrt{5} / 5} \)
D. \( \frac{\sqrt{2}}{\sqrt{5}} \)
Subject: Physics
Assertion
Energy can not be given to a system without giving it momentum.
Reason
If kinetic energy is given to a body it
means it has acquired momentum.
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 distance of the point on \( y=x^{4}+ \)
\( 3 x^{2}+2 x \) which is nearest to the line
\( \boldsymbol{y}=2 \boldsymbol{x}-\mathbf{1} \) is \( \mathbf{p}, \) Find \( \mathbf{5} \boldsymbol{p}^{2} \)
Subject: Maths
In the figure, from the handkerchief
from four corners, sectors \( P, Q, R \) and \( S \)
each of \( 2 \mathrm{cm} \) are cut, whose sum is \( \boldsymbol{P}+ \)
\( Q+R+S=A_{1} \) and a circle of
diameter \( 4 \mathrm{cm} \) from the centre is cut
whose area is \( A_{2}, \) then is
possible.
A. \( A_{1} \neq A_{2} \)
B. \( A_{1}<A_{2} \)
c. \( A_{1}>A_{2} \)
D. \( A_{1}=A_{2} \)
Subject: Maths
\( \mathrm{f}\left|\begin{array}{lll}\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b}\end{array}\right|=\boldsymbol{t} \times \operatorname{det} \) of
circulant matrix whose elements of first
column are \( a, b, c \) then \( t \) equals
A. 5
B. 6
\( c \cdot-2 \)
\( D \)
Subject: Physics
toppr
Q Type your question
\( \sqrt{\boldsymbol{L}} \boldsymbol{C} \)
with the help of an external agent. A
uniform magnetic field \( B \) exists in
space and is directed into the plane of the figure. (circuit part remains at rest)
(left part is at rest)
This question has multiple correct options
A the rms value of current in the circuit is \( \frac{\pi B a^{2}}{R \sqrt{2 L C}} \)
B. The rms value of current in the circuit is \( \frac{\pi B a^{2}}{2 R \sqrt{2 L C}} \)
C. The maximum energy stored in the capacitor is \( \frac{\pi^{2} B^{2} a^{4}}{8 R^{2} C} \)
D. The maximum power delivered by the external agent is \( \frac{\pi^{2} B^{2} a^{4}}{4 L C R} \)
Subject: Physics
The gravitational potential energy of an isolated system of three particles, each of mass \( m \), at the three corners of an
equilateral triangle of side \( l \) is
\( ^{\text {A }}-\frac{G m^{2}}{l} \)
в. \( -\frac{G m^{2}}{2 l} \)
c. \( -\frac{2 G m^{2}}{l} \)
D. \( -\frac{3 G m^{2}}{l} \)
Subject: Chemistry
An element \( X \) combines with oxygen to
form an oxide \( X_{2} O . \) This oxide is
electrically conducting.
(i) How many electrons would be there in the outermost shell of the element \( \boldsymbol{X} \)
(ii) To which group of the periodic table does the element \( X \) belong.
(iii) Write the formula of the compound
which is formed when \( X \) reacts with
chlorine.
Subject: Physics
A uniform circular disc of radius is taken. A circular portion of radius b has
been removed from its as shown in the
figure. If the centre of hole is at a
distance c from the centre of the disc,
the distance \( x_{2} \) of the centre of mass of
the remaining part from the initial
centre of mass 0 is given by :
A \( \cdot \frac{\pi b^{2}}{a^{2}-c^{2}} \)
B. \( \frac{b^{2} c}{\left(a^{2}-b^{2}\right)} \)
c. \( \frac{\pi e^{2}}{a^{2}-b^{2}} \)
D. \( \frac{c a^{2}}{c^{2}-b^{2}} \)
Subject: Physics
toppr
Q Type your question_
force, but otherwise the sled will not
have external forces interacting with its horizontal motion).
In order to push the sled without
making it rotate, where should you
push?
Refer to the diagram to help you conceptualize the situation. All objects
in the system you are about to push
have some mass, through their
quantities are unknown. The sled is
motionless initially and the surface is
completely flat. Assume you are going
to push on the side that is closer to you,
as shown in the diagram.
A. Directly between the two dogs depicted in the diagram
B. Somewhere closer to the black dog
c. Somewhere closer to the white dog
D. At the center of mass of the two dogs
E. More information is needed
Subject: Maths
\( \frac{x^{4}+2}{(x-1)^{2}(x+1)}= \)
A \( \cdot x+1+\frac{3}{4(x-1)}+\frac{3}{2(x-1)^{2}}+\frac{5}{4(x+1)} \)
B. \( x+1+\frac{5}{4(x-1)}+\frac{3}{2(x-1)^{2}}+\frac{5}{4(x+1)} \)
\( ^{\mathbf{C}} \cdot x+1+\frac{5}{4(x-1)}+\frac{3}{2(x-1)^{2}}+\frac{3}{4(x+1)} \)
D \( x+1+\frac{5}{4(x-1)}+\frac{5}{2(x-1)^{2}}+\frac{3}{4(x+1)} \)
Subject: Chemistry
At \( 25^{0} \mathrm{C}, K_{s p} \) for \( P b B r_{2} \) is equal to \( 8 x \)
\( 10^{-5} . \) If the salt is \( 80 \% \) dissociated,
what is the solubility of \( P b B r_{2} \) in mol/litre?
\( ^{A} \cdot\left[\frac{10^{-5}}{1.6 \times 1.6}\right]^{1 / 3} \)
в. \( \left.\frac{10^{-4}}{1.6 \times 1.6}\right]^{1 / 3} \)
\( ^{\mathrm{c}}\left[\frac{10^{-4}}{0.8 \times 0.8}\right]^{1 / 3} \)
D. \( \left.\quad \frac{10^{-5}}{1.6 \times 1.6}\right]^{1 / 2} \)
Subject: Chemistry
The melting points of four solids \( A, B, C \)
and D are \( 78^{\circ} \mathrm{C}, 213^{\circ} \mathrm{C}, 100^{\circ} \mathrm{C} \) and
\( 154^{\circ} \mathrm{C} . \) Arrange them in increasing order of their interparticle forces of attraction.
Subject: Chemistry
\( R H_{2} \) (ion exchange resin) can replace
\( C a^{2+} \) ions in hard water as: \( R H_{2}+ \)
\( C a^{2+} \rightarrow R C a+2 H^{+} \)
If \( 1 L \) of hard water after passing through
\( R H_{2} \) has \( p H=3, \) then hardness in parts
per million of \( C a^{2+} \) is:
A. 80
B. 10
\( c \cdot 40 \)
D. 100
Subject: Chemistry
Which of the follwoing statements is
correct?
A. \( \mathrm{HCl} \) is covalent both in aqueous solution and in the gaseous state
B. HCl is covalent in the gaseous state but ionic in aqueous solution
C. \( \mathrm{HCl} \) is ionic both in the gaseous state and in aqueous solution
D. None of the above
Subject: Physics
What will be the approximate terminal velocity of a rain drop of diameter \( 1.8 \times \)
\( 10^{-3} \mathrm{m}, \) when density of rain water \( \approx \)
\( .10^{3} k g m^{-3} \) and the co=efficient of
viscosity of air \( \approx .1 .8 \times 10^{-5} N s m^{-2} ? \)
(Neglect buoyancy of air).
A \( \cdot 49 m s^{-1} \)
B. \( 98 m s^{-1} \)
c. \( 392 m s^{-1} \)
D. \( 980 \mathrm{ms}^{-1} \)
Subject: Maths
If \( \tan \alpha=\frac{1}{7}, \tan \beta=\frac{1}{\sqrt{10}}, \) prove that
\( \alpha+2 \beta=\frac{\pi}{a}, \) where \( 0<\alpha<\frac{\pi}{2} \) and
\( \mathbf{0}<\boldsymbol{\beta}<\frac{\boldsymbol{\pi}}{\mathbf{2}} \)
Find \( a \)
Subject: Chemistry
In which of the following changes bond
order decreases?
This question has multiple correct options
A \( \cdot C O \) to \( C O^{+} \)
B. \( N_{2} \) to \( N_{2}^{+} \)
\( \mathbf{c} \cdot H_{2} \) to \( H_{2}^{+} \)
D. \( H_{2} \) to \( H_{2}^{-} \)
Subject: Physics
Assertion: When diamagnetic material is placed in a non-uniform magnetic field, it tends to move from stronger to
the weaker part of the magnetic field. Reason : Diamagnetic materials possess strong magnetism.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
c. If assertion is true but reason is false
D. If both assertion and reason are false
Subject: Physics
Radii of two conducting circular loops are \( b \) and \( a \) respectively, where \( b>>a \)
Centres of both loops coincide but planes of both loops are perpendicular to each other. The value of mutual
inductance for these loops.
A \( \cdot \frac{\mu_{0} \pi b^{2}}{2 a} \)
B. zero
c. \( \frac{\mu_{0} \pi a b}{2(a+b)} \)
D. \( \frac{\mu_{0} \pi a^{2}}{2 b} \)
Subject: Physics
Assertion
A rocket moves forward by pushing the
surrounding air backwards.
Reason
It derives the necessary thrust to move forward according to Newton's third law of motion.
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 the arrangement shown below a block
of mass \( 2700 \mathrm{kg} \) is in equilibrium on
applying a force F. The value of force F is \( d_{l i q u i d}=0.75 g c m^{-3} \) is
A . \( 147 N \)
B . \( 300 N \)
c. \( 153 N \)
D. \( 1755 N \)
Subject: Physics
In the above diagram the shaded
regions \( A \) and \( B \) are the areas covered by
planet around the sun. \( \boldsymbol{d}_{A} \) and \( \boldsymbol{d}_{B}, \boldsymbol{t}_{\boldsymbol{A}} \)
and \( t_{B} \) are the distances traveled by the
planet and the time taken by it to cover
the paths PQ and RS respectively.
Choose the correct statement.
\( \mathbf{A} \cdot d_{A}=d_{B} \) if \( t_{4}=t_{B} \)
B \( \cdot d_{4}<d_{B} \) if \( t_{4}>t_{B} \)
\( \mathbf{c} \cdot d_{A}=d_{B} \) if \( t_{A}<t_{B} \)
D. \( d_{A}>d_{B} \) if \( t_{A}=t_{B} \)
Subject: Chemistry
When \( 2 s-2 s, 2 p-2 p \) and \( 2 p-2 s \)
orbitals overlap, the bond strength decreases in the order:
A \( \cdot p-p>s-s>p-s \)
В. \( p-p>p-s>s-s \)
c. \( s-s>p-p>p-s \)
D. \( s-s>p-s>p-p \)
Subject: Maths
Number of 4 digit numbers of the form
\( N=a b c d \) which satisfy following three
conditions
(i) \( 4000 \leq N<6000 \) (ii) \( N \)
is multiple of 5 (iii) \( 3 \leq b<c \leq 6 \) is
equal to
A . 12
B . 18
\( c \cdot 24 \)
D. 48
Subject: Physics
In an A.C circuit, a resistance R is
connected in series with an inductance
L. If the phase angle between voltage
and current be \( 45^{0}, \) the value of
inductive reactance will be
A \( \cdot \frac{R}{4} \)
в. \( \frac{R}{2} \)
c. \( R \)
D. \( \frac{R}{3} \)
Subject: Chemistry
Which of the following complexes is(are) paramagnetic? This question has multiple correct options
A \( \cdot\left[M n\left(C N_{6}\right)\right]^{3-} \)
B . \( \left[C r\left(N H_{3}\right)_{6}\right]^{3} \)
c. \( \left[F e(C N)_{6}\right]^{4+} \)
D. \( \left[C o(C N)_{6}\right]^{3} \)
Subject: Chemistry
Which of the following electrolyte will be most effective in coagulation of gold sol
\( ? \)
A. \( N a N O_{3} \)
B . \( K_{4}\left[\operatorname{Fe}(C N)_{6}\right] \)
c. \( N a_{3} P O_{4} \)
D. \( M g C l_{2} \)
Subject: Physics
Water is flowing continuously from a \( \operatorname{tap} \) of area \( 10^{-4} m^{2} . \) The water velocity
as it leaves the top is \( 1 \boldsymbol{m} / \boldsymbol{s} \) Find out area of the water stream at a
distance \( 0.15 m \) below the top.
A \( .0 .5 \times 10^{-4} m^{2} \)
B . \( 1 \times 10^{-4} m^{2} \)
c. \( 2 \times 10^{-4} m^{2} \)
D. \( 0.25 \times 10^{-4} m^{2} \)