AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A car accelerates from rest at constant
rate of \( 2 m / s^{2} \) for some time. Then its
retards at a constant rate of \( 4 m / s^{2} \) and comes to rest. if it remains in motion for
3 seconds, then the maximum speed attained by the car is:-
A. \( 2 m / s \)
B. \( 3 m / s \)
\( \mathrm{c} \cdot 4 m / s \)
D. \( 6 m / s \)
Subject: Physics
A Zener diode is connected to a battery
and a load as shown. The currents \( \boldsymbol{I}, \boldsymbol{I}_{\boldsymbol{Z}} \)
and \( I_{L} \) are respectively
\( \mathbf{A} \cdot 12.5 m A, 5 m A, 7.5 m A \)
B. \( 15 \mathrm{mA}, 7.5 \mathrm{mA}, 7.5 \mathrm{mA} \)
c. \( 15 \mathrm{mA}, 7.5 \mathrm{mA}, 5 \mathrm{mA} \)
D. \( 12.5 \mathrm{mA}, 7.5 \mathrm{mA}, 5 \mathrm{mA} \)
Subject: Biology
Which of the following statements are
correct?
(i) Hydra has a number of cilia around its mouth.
(ii) Frog uses its long, sticky tongue to catch insects
(iii) Mosquito sucks up the blood of animals with its tentacle.
A. (i) and (iii) only
B. (i) only
c. (ii) only
D. (ii) and (iii) only
Subject: Physics
wavelength and are initially in phase.
They then travel through plastic layer
with thicknesses of \( L_{1}=3.5 m m \) and
\( \boldsymbol{L}_{2}=\mathbf{5 . 0 m m} \) and indices of refraction
\( \boldsymbol{n}_{1}=\mathbf{1 . 7} \) and \( \boldsymbol{n}_{2}=1.25 \) as shown in
figure. The rays later arrive at a
common point. The longest wavelength of light for which constructive
interference occurs at the point is
\( \mathbf{A} \cdot 0.8 m m \)
\( \mathbf{B} \cdot 1.2 m m \)
c. \( 1.7 m m \)
\( \mathbf{D} \cdot 2.9 m m \)
Subject: Maths
Find the slope of the inclination of the
line of the following:
\( \boldsymbol{\theta}=\mathbf{6 0}^{\circ} \)
A \( \cdot \frac{1}{\sqrt{3}} \)
B. \( \sqrt{3} \)
c. \( \frac{2}{\sqrt{3}} \)
D. \( \frac{\sqrt{3}}{2} \)
Subject: Chemistry
toppr
Q Type your question
electrons via the nitrogen-nitrogen
double bonds.

The azo dye obtained on reacting 4
aminophenol with nitrous acid (in
dilute hydrochloric acid) below \( 10^{\circ} \mathrm{C} \)
and coupling the resulting diazonium
salt with phenol is:
\( \mathbf{A} \)
B.
\( \mathbf{c} \)
\( D \)
Subject: Physics
The earth \( \left(\operatorname{mas} s=6 \times 10^{24} k g\right) \) revolves
around the sun with an angular velocity
of \( 2 \times 10^{-7} \) radian/sec in a circular
orbit of radius \( 1.5 \times 10^{8} k m . \) The force
exerted by the sun, on the earth is :-
A \( \cdot 6 \times 10^{19} N \)
B . \( 18 \times 10^{25} N \)
c. \( 36 \times 10^{21} N \)
D. \( 27 \times 10^{39} N \)
Subject: Maths
If \( A \) and \( B \) are two events such that \( P(A \cup B) \geq \frac{3}{4} \) and \( \frac{1}{8} \leq P(A \cap B) \leq \frac{3}{8} \)
then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot P(A)+P(B) \leq \frac{11}{8} \)
в. \( P(A) . P(B) \leq \frac{3}{8} \)
c. \( P(A)+P(B) \geq \frac{7}{8} \)
D. none of these
Subject: Chemistry
Calculate the temperature values at
which the molecules of the first two
members of the homologous series,
\( C_{n} H_{2 n+2} \) will have the same rms speed
\( \operatorname{as} C O_{2} \) gas at \( 770 \mathrm{K} . \) The normal b.p. of
\( n- \) butane is 273 K. Assuming ideal gas behavior of \( n- \) butane up to this
temperature, calculate the mean velocity and the most probable velocity of its molecules at this temperature.
Subject: Physics
A point charge \( +Q \) is placed just
outside an imaginary hemispherical
surface of radius \( R \) as shown in the
figure. Which of the following statements is/are correct?
This question has multiple correct options
A. The electric flux passing through the curved surface of the hemisphere is \( -\frac{Q}{2 \epsilon_{0}}\left(1-\frac{1}{\sqrt{2}}\right) \)
B. The component of the electric field normal to the flat surface is constant over the surface
Cotal flux through the curved and the flat surface is \( \frac{Q}{\epsilon_{0}} \)
D. The circumference of the flat surface is an
equipotential
Subject: Chemistry
In a chemical reaction \( \boldsymbol{X} \rightarrow \boldsymbol{Y} \), it is
found that the rate reaction doubles
when the concentration of \( \boldsymbol{X} \) is
increased four times. The order of the
reaction with respect to \( \boldsymbol{X} \) is:
A . 1
B. 2
\( c \cdot 2 \)
D. \( \frac{1}{2} \)
Subject: Chemistry
Assertion
\( L i^{+} \) forms series of trihydrates \( L i X \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}[\boldsymbol{X}= \)
\( \boldsymbol{C l}, \boldsymbol{B r}, \boldsymbol{I}, \boldsymbol{C l O}_{2}, \boldsymbol{C l o}_{4}, \boldsymbol{M n O}_{4}, \boldsymbol{N O}_{3}, \boldsymbol{b} \)
Reason
This is due to its smaller size \( \left(L i^{+}\right) \) and highest ion dipole interaction.
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
The heat of combustion of acetylene is
312 kcal. If heat of formation of \( C O_{2} \) and
\( H_{2} O \) are 94.38 and 68.38 kcal
respectively, \( C \equiv C \) bond energy is
\( x k c a l . \) Given that heat of atomisation of
C and H are 150.0 and 51.5 kcal
respectively and \( C-H \) bond energy is
\( 93.64 \mathrm{kcal} \)
Value of \( x \) (nearest integer value) is
Subject: Chemistry
Select the incorrect statement.
A. Nitrous oxide supports combustion more vigorously than air
B. Phosphorus pentaoxide dehydrates nitric acid forming nitrogen pentaoxide
C. Reactivity order of various allotropic forms of phosphorus is white \( > \) red \( > \) black
D. Red phosphorus changes to white phosphorus on heating in the atmosphere of \( C O_{2} \) or coal gas at \( 573 K \)
Subject: Physics
A particle is thrown vertically upwards. Its velocity at one fourth of the
maximum height is \( 20 \mathrm{m} \mathrm{s}^{-1} \). Then, the maximum height attained by it is
A . \( 16 \mathrm{m} \)
B. \( 10 \mathrm{m} \)
\( c \cdot 8 m \)
D. 18
Subject: Maths
The position vector of point \( F, \) is?
\( ^{\mathbf{A}} \cdot \frac{3|\bar{a}||\bar{c}|}{3|\bar{c}|+2|\bar{a}|}\left(\frac{\vec{a}}{|\bar{a}|}+\frac{\vec{c}}{|\bar{c}|}\right) \)
В \( \cdot \vec{a}+|\overrightarrow{\vec{c}}| \vec{c} \)
c. \( _{\vec{a}+} \frac{2|\vec{c}|}{|\vec{c}|} \vec{c} \)
D・ \( \quad \vec{a}-|\overrightarrow{\vec{c}}| \vec{c} \)
Subject: Maths
If \( \frac{1}{1 ! 10 !}+\frac{1}{2 ! 9 !}+\frac{1}{3 ! 10 !}+\ldots+ \)
\( \frac{1}{1 ! 10 !}=\frac{2}{k !}\left(2^{k-1}-1\right) \) then find the
value of k.
Subject: Chemistry
Match the following.
(1) Antibiotic
(a) Lysozyme blotic If
(2)
Antacid
(b) Bithionol
(3) Antipyretic
(c) Omeprazole gite ole
(4)
\( n \) Anti-microbial \( (d) \) Analgin
e) Penicillin \( (e) \)
A. \( 1-\mathrm{c}, 2-\mathrm{d}, 3-\mathrm{e}, 4-\mathrm{b} \)
B. \( 1-e, 2-c, 3-d, 4-a \)
C. \( 1-\mathrm{e}, 2-\mathrm{d}, 3-\mathrm{a}, 4-\mathrm{c} \)
D. \( 1-\mathrm{d}, 2-\mathrm{a}, 3-\mathrm{c}, 4-\mathrm{e} \)
Subject: Chemistry
The Tyndall effect is observed only when
following conditions are satisfied:
(a) The diameter of the dispersed particles is much smaller than the wavelength of the light used.
(b) The diameter of the dispersed particle is not much smaller than the wavelength of the light used.
(c) The refractive indices of the
dispersed phase and dispersion medium are almost similar in
magnitude.
(d) The refractive indices of the
dispersed phase and dispersion medium differ greatly in magnitude.
\( A \cdot(b) \) and \( (c) \)
B. (a) and (c)
\( c \cdot(b) \) and (d)
D. (a) and (d)
Subject: Physics
Two sinusoidal waves of the same
frequency travel in the same direction
along a string. If \( \boldsymbol{A}_{\mathbf{1}}=\mathbf{3 . 0} \boldsymbol{c m}, \boldsymbol{A}_{\mathbf{2}}= \)
\( 4.0 \mathrm{cm}, \phi_{1}=0, \) and \( \phi_{2}=\pi / 2 \mathrm{rad}, \) what
is the amplitude of the resultant wave?
A. \( 5 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c \cdot 7 \mathrm{cm} \)
D. \( 8 \mathrm{cm} \)
Subject: Physics
Two particles are shown in figure. At
\( t=0, \) a constant force \( F=6 N \) starts
acting on the 3 kg mass. Find the velocity of the centre of mass of these
particles at \( t=5 s \)
\( \mathbf{A} \cdot 5 m / s \)
B. \( 4 m / s \)
\( \mathrm{c} .6 \mathrm{m} / \mathrm{s} \)
D. \( 3 m / s \)
Subject: Physics
Assertion
Statement I : A physical quantity can be regarded as a vector, if magnitude as well as direction is associated with it.
Reason

Statement II : A physical quantity can be regarded as a scalar quantity, if it is associated with magnitude only.
A. Statement-I is false, Statement-II is true
B. Statement-I is true, Statement-II is false
c. statement-l is true, statement-ll is true ; statement-I is NOT a correct explanation for Statement-
D. Statement-l is true, Statement-II is true ; Statement-I is correct explanation for Statement-
Subject: Physics
A body moves \( 6 \mathrm{m} \) north. \( 8 \mathrm{m} \) east and 10m vertically upwards, what is its resultant displacement from initial position (only magnitude)
A \( \cdot 10 \sqrt{2} m \)
the
в. \( 10 m \)
c. \( \frac{10}{\sqrt{2}} m \)
D. \( 10 \times 2 m \)
Subject: Physics
Distance of the center of mass of a solid
uniform cone from its vertex is \( z_{0} . \) If the
radius of its base is \( R \) and its height is
\( h \) then \( z_{0} \) is equal to:
A \( \cdot \frac{h^{2}}{4 R} \)
в. \( \frac{3 h}{4} \)
\( c \cdot \frac{5 h}{8} \)
D. \( \frac{3 h^{2}}{8 R} \)
Subject: Physics
Two Polaroids \( P_{1} \) and \( P_{2} \) are placed with their axis perpendicular to each other.
Unpolarized light \( l_{0} \) is incident on \( P_{1} . A \)
third polaroid \( P_{3} \) is kept in between \( P_{1} \)
and \( P_{2} \) such that its axis makes an
angle \( 45^{\circ} \) with that of \( P_{1} . \) The intensity
of transmitted light through \( P_{2} \) is
A \( \cdot \frac{I_{0}}{2} \)
B. \( \frac{I_{0}}{4} \)
\( c \cdot \frac{I_{0}}{8} \)
D. \( \frac{1}{16} \)
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{t}-\sin \boldsymbol{t}), \boldsymbol{y}=\boldsymbol{a}(1+\cos \boldsymbol{t}) \) then
find \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}} \)
Subject: Physics
A uniform magnetic field of \( 1.5 T \) exists
in a cylindrical region of radius \( 10.0 \mathrm{cm} \)
it's direction being parallel to the axis along east to west. A current carrying wire in north-south direction passes through this region. The wire intersects the axis and experiences a force of \( 1.2 N \) downwards. If the wire is turned
from north-south to northeast-
southwest direction, then the magnitude and the direction of the
force is
A. \( 1.2 N \), upwards
B. \( 1.2 \sqrt{2} N \), downward
c. \( 1.2 N \), downwards
D. \( \frac{1.2}{\sqrt{2}} N, \) downwards
Subject: Chemistry
The value of \( \boldsymbol{K}_{\boldsymbol{p}} \) is \( 1 \times 10^{-3} \boldsymbol{a} \boldsymbol{t m}^{-1} \) at \( \boldsymbol{2 5} \)
for the reaction \( : 2 N O+C l_{2} \rightleftharpoons \)
2 NOCl. A flask contains \( N O \) at
\( 0.02 a t m \) at \( 25^{0} C . x \times 10^{-2} \) mole of \( C l_{2} \)
must be added if \( 1 \% \) of the \( N O \) is to be
converted to \( N O C l \) at equilibrium. The
volume of the flask is such that 0.2
mole of gas produce 1 atm pressure at
25. Also \( y \times 10^{-5} \) mole of \( C l_{2} \) used.
(lgnore probable association of \( N O \) to
\( N_{2} O_{2} . \)
Then calculate the value of \( x \) and \( y \)
Subject: Chemistry
The equilibrium constant for the reaction \( \boldsymbol{A} \Leftrightarrow \boldsymbol{B} \) is \( \boldsymbol{K} \). The equilibrium
constant for the reaction \( \boldsymbol{m} \boldsymbol{A} \Leftrightarrow \boldsymbol{m} \boldsymbol{B} \) is:
\( \mathbf{A} \cdot m K \)
в. \( \frac{K}{m} \)
c. \( K^{m} \)
D. \( K^{-m} \)
Subject: Physics
Given figure shows a shovel used to lift earth (sand). A and B are hinges connecting the shovel to the two rods shown. The weight of the shovel and
sand is \( 12 k N \) acting at G. The
magnitude of the force \( F \) is \( 5 k N \). The
reactive force at B is :
(All dimension in \( c m \) )
A \( .0 k N \)
B. \( 9.8 k N \)
\( \begin{array}{ll}.17 .66 k N & N\end{array} \)
D. \( 20 k N \)
Subject: Chemistry
In the P-V diagram shown, the gas does
\( 5 J \) of work in isothermal process ab and
\( 4 J \) in adiabatic process \( b c . \) What will be
the change in internal energy of the gas in straight path \( c \) to \( a \) ?
\( A \cdot 9 J \)
B. \( 1 . \)
c. \( 4 . \)
D. 5 .
Subject: Chemistry
Assertion
The second dissociation constant of fumaric acid is greater than maleic
acid.
Reason
Higher the dissociation constant of acid
more is the acidic character.
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
The principal value of \( \arg (z) \) lies in the interval:
\( ^{\mathrm{A}} \cdot\left[0, \frac{\pi}{2}\right] \)
в. \( (-\pi, \pi] \)
\( \mathbf{c} \cdot[0, \pi] \)
D. \( (-\pi, 0] \)
Subject: Chemistry
Ferrocene is:
\( \mathbf{A} \cdot F e\left(\eta^{2}-C_{6} H_{5}\right)_{2} \)
B \( \cdot F e\left(\eta^{5}-C_{5} H_{5}\right)_{2} \)
\( \mathbf{c} \cdot F e\left(\eta^{6}-C_{6} H_{6}\right)_{2} \)
D. \( F e\left(\eta^{3}-C_{3} H_{3}\right)_{2} \)
Subject: Maths
In a triangle \( A B C \) \( \operatorname{acos}^{2}\left(\frac{C}{2}\right)+c \cos ^{2}\left(\frac{A}{2}\right)=\frac{3 b}{2}, \) then the
\( \operatorname{sides} a, b, c \)
A. Satisfy \( a+b=c \)
B. are in \( A . P \).
c. are in \( G . P \)
D. are in \( H . P \)
Subject: Physics
Plane polarized light is passed through a Polaroid. Now the Polaroid is given one complete rotation about the direction of light propagation. When viewed through another Polaroid (analyser), one of the following is observed:
A. The intensity of light gradually decreases to zero and then remains zero
B. The intensity of light becomes twice maximum and twice zero
c. The intensity of light becomes maximum and stays maximum
D. The intensity of light does not change
Subject: Physics
A simple wave motion represented by \( \boldsymbol{y}=\mathbf{5}(\sin 4 \boldsymbol{\pi} \boldsymbol{t}+\sqrt{\boldsymbol{3}} \cos \boldsymbol{4} \boldsymbol{\pi} \boldsymbol{t}) . \) Its
amplitude is:
\( A \cdot 5 \)
B. \( 5 \sqrt{3} \)
c. \( 10 \sqrt{3} \)
the
D. 10
Subject: Chemistry
Two elements \( A(A t . \text { wt } 75) \) and \( B(A t . \) wt
16) combine to yield a compound. The percentage by weight of 'A' in the compound was found to be 75.08 . The formula of the compound is:
A \( \cdot A_{2} B \)
в. \( A_{2} B_{3} \)
c. \( A B \)
D. \( A B_{2} \)
Subject: Maths
If \( A \) and \( B \) are two events, then, \( 1+ \)
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})-\boldsymbol{P}(\boldsymbol{B})-\boldsymbol{P}(\boldsymbol{A}) \) is equal to
\( \mathbf{A} \cdot P(\bar{A} \cup \bar{B}) \)
B \( \cdot P(A \cap \bar{B}) \)
\( \mathbf{c} \cdot P(\bar{A} \cap B) \)
D \( \cdot P(A \cup B) \)
E \( \cdot P(\bar{A} \cap \bar{B}) \)
Subject: Physics
Two large vertical and parallel metal
plates having a separation of \( 1 \mathrm{cm} \) are
connected to a DC voltage source of potential difference \( X . \) A proton is
released at rest midway between the two plates. It is found to move at 45 to
the vertical JUST after release. Then X is
nearly
\( \mathbf{A} \cdot 1 \times 10^{-5} V \)
B . \( 1 \times 10^{-7} V \)
C . \( 1 \times 10^{-9} V \)
D. \( 1 \times 10^{-10} V \)
Subject: Maths
Draw a triangle \( A B C \) with side \( B C=6 \)
\( \mathrm{cm}, \angle C=30^{\circ} \) and \( \angle A=105^{\circ} \).Then
construct another triangle whose sides \( \operatorname{are} \frac{2}{3} \) times the corresponding sides of
\( \Delta A B C \)
Subject: Physics
A point charge \( +q \) is placed at the centre of a cube of side \( L \). The electric
flux emerging from the cube is
\( ^{\mathrm{A}} \cdot \frac{q}{\varepsilon_{0}} \)
B. zero
c. \( \frac{6 q L^{2}}{\varepsilon_{0}} \)
D. \( \frac{q}{6 L^{2} \varepsilon_{0}} \)
Subject: Physics
Resistance of 6 ohm each are connected
in the manner shown in adjoining
figure.With the current 0.5 ampere as
shown in figure, the potential difference
\( \boldsymbol{V}_{\boldsymbol{p}}-\boldsymbol{V}_{\boldsymbol{Q}} \) is:
\( A \cdot 3.6 V \)
B. 6.0 \( v \)
c. \( 3.0 \mathrm{V} \)
D. 7.2 \( v \)
Subject: Physics
A train moves in north direction with a
speed of \( 54 \mathrm{km} / \mathrm{h} \) A monkey is running on the roof of the train, against its motion with a velocity of \( 18 \mathrm{km} / \mathrm{h} \). with respect to train. The velocity of monkey as observed by a man standing on the
ground is :
A. \( 5 \mathrm{m} / \mathrm{s} \) due south
B. \( 25 \mathrm{m} / \mathrm{s} \) due south
c. \( 10 m / s \) due south
D. \( 10 \mathrm{m} / \mathrm{s} \) due north
Subject: Chemistry
In a reaction between \( A \) and \( B \), the
initial rate of reaction \( \left(r_{0}\right) \) was measured for different initial
concentrations of \( A \) and \( B \) as given
below:
\( \begin{array}{lll}A / m o l L^{-1} & 0.20 & 0.20 \\ B / m o l L^{-1} & 0.30 & 0.10\end{array} \) \( r_{0} / m o l L^{-1} s^{-1} \quad \begin{array}{ll}5.07 \times & 5.07 \times \\ 10^{-5} & 10^{-5}\end{array} \quad \begin{array}{l}1.43 \times \\ 10^{-4}\end{array} \)
What is the order of the reaction with
respect to \( A \) and \( B ? \)
Subject: Maths
Let \( \boldsymbol{A}=\boldsymbol{R} \times \boldsymbol{R} \) and \( * \) be a binary
operation on \( A \) defined by \( (a, b) * \) \( (c, d)=(a+c, b+d) . \) Show that \( * \) is
commutative and associative. Find the
identity element for \( * \) on \( A, \) if any
Subject: Maths
Ashok went to a casino to play a card game. In each round, he happened to double the amount with himself and in
each round he gave Rs. \( x \) to his friend. At
the end of three rounds, he was left with
no money. If the amount he gave to his
friend in each round was Rs. 20 more
than the amount he started with, find
the amount (in Rs.) that he started with
A. 110
в. 120
\( c .130 \)
D. 140
Subject: Maths
The denominator of fraction is 6 more
than its numerator. If 2 is added to both
the numerator and denominator, the
fraction becomes \( 1 / 2 . \) Find the fraction.
A . \( 2 / 5 \)
в. \( 4 / 6 \)
c. \( 6 / 10 \)
D. \( 1 / 5 \)
Subject: Maths
Assertion \( : \int \frac{1}{\sqrt{x^{2}+2 x+10}} d x= \)
\( \sinh ^{-1} \frac{x+1}{3}+c \)
Reason : \( \operatorname{If} \boldsymbol{a}>\mathbf{0}, \boldsymbol{b}^{2}-\mathbf{4} \boldsymbol{a} \boldsymbol{c}<\mathbf{0}, \) then
\( \int \frac{d x}{\sqrt{a x^{2}+b x+c}}= \)
\( \frac{1}{\sqrt{a}} \sinh ^{-1}\left(\frac{2 a x+b}{\sqrt{4 a c-b^{2}}}\right)+k \)
A. Both A and R are true and R is the correct explanation of
B. Both A and R are true but R is not correct explanation of
\( c . \) A is true but \( R \) is false
D. A is false but R is true
Subject: Chemistry
Among the following pairs of ions, the lower oxidation state in aqueous solution is more stable than the other
in
A \( \cdot T i^{+}, T i^{3+} \)
в. \( C u^{+}, C u^{2+} \)
c. \( C r^{2+}, C r^{3+} \)
D. \( V^{2+}, V O^{2+} \)
Subject: Maths
If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors and the angles between \( \vec{a}, \vec{b} \) and \( \vec{b}, \vec{c} \) and \( \vec{c}, \vec{a} \) are \( \frac{\pi}{6}, \frac{\pi}{3} \)
and \( \frac{\pi}{4} \) respectively, then \( |\vec{a}+\vec{b}+\vec{c}| \)
A . 3
B. \( 4+\sqrt{3}+\sqrt{2} \)
c. \( \sqrt{4+3+2} \)
D. None of these
Subject: Physics
Find the vertical height through which a
body of mass \( 0.5 k g \) is lifted if the
energy spent in doing so is \( 1.0 J \)
Consider \( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \)
\( \mathbf{A} \cdot 30 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
c. \( 20 \mathrm{cm} \)
D. \( 50 \mathrm{cm} \)
Subject: Chemistry
Q Type your question
precipitate with CaCl\( _{2} \) solution. This
precipitate is dissolved in dilute
\( H_{2} S O_{4} \) and decolourises \( K M n O_{4} \)
(acidified) solution as the following reactions:
\( N a_{2} C_{2} O_{4}+C a C l_{2} \rightarrow C a C_{2} O_{4} \downarrow+ \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{a} \boldsymbol{C l} \boldsymbol{l} \)
\( \boldsymbol{C a} \boldsymbol{C}_{2} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{C a} \boldsymbol{S O}_{4}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4} \)
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4} \rightarrow \)
\( M n S O_{4}+K_{2} S O_{4}+H_{2} O+C O_{2} \)
If one mole of \( N a_{2} C_{2} O_{4} \) is taken and
reacted with sufficient amount of other
reactants such as to give \( 100 \% \) reaction yield at each step and the liberated
\( C O_{2} \) is kept in a container of volume \( V \)
at pressure \( P \), temperature T. Then \( U_{r m s} \)
of \( C O_{2} \) gas in container will be :
This question has multiple correct options
A \( \cdot \sqrt{\frac{3 P V}{2 M_{C O_{2}}}} \)
B. \( \sqrt{\frac{3 R T}{2 M_{C O_{2}}}} \)
c. \( \sqrt{\frac{3 p V}{M \sigma_{2}}} \)
D. \( \sqrt{\frac{3 R T}{M C_{22}}} \)
Subject: Physics
Sania, a high-board diver of mass \( 50 \mathrm{kg} \)
is diving from a height of \( 30 \mathrm{m} \) into a pool (see figure given). What is the
potential energy of Sania at point \( A \) ?
\( \left(g=10 m s^{-2}\right) \)
A . \( 5000 J \)
в. 10000 .
c. \( 15000 J \)
D. 20000
Subject: Maths
\( \lim _{x \rightarrow 2}\left(\left(\frac{x^{3}-4 x}{x^{3}-8}\right)^{-1}-\left(\frac{x+\sqrt{2 x}}{x-2}-\frac{ }{\sqrt{x} x}\right.\right. \)
is equal to
\( A \cdot \frac{1}{2} \)
B . 2
\( c \cdot 1 \)
D. None of these
Subject: Chemistry
Which of the following statements is
accurate in explaining why Gram
negative bacteria are generally more
resistant to penicillins than Gram
positive bacteria?
A. Gram negative bacteria have a thicker cell wall
B. Gram negative bacteria have an outer hydrophilic membrane that acts as an extra barrier
C. Gram negative bacteria can concentrate \( \beta \) -lactamase enzymes in the periplasmic space
D. Gram negative bacteria produce smaller quantities of transpeptidase enzyme
Subject: Maths
Zeroes of polynomial \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{2}-\boldsymbol{3} \boldsymbol{x}+ \)
2 are
This question has multiple correct options
\( A \cdot 3 \)
B.
\( c \cdot 4 \)
D. 2
Subject: Physics
toppr
Q Type your question
would be:-
\begin{tabular}{|l|l|}
\hline & \\
\hline & \\
\hline
\end{tabular}
\( A \)
\begin{tabular}{|l|l|}
\hline\( \uparrow \) & \\
\hline \\
\hline
\end{tabular}
\( B \)
\begin{tabular}{|c|c|}
\hline & \\
\hline & \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|}
\hline 0 & \\
\hline & \( \downarrow \) \\
\hline
\end{tabular}
\( D \)
\begin{tabular}{|c|c|}
\hline & \\
\hline & \\
\hline
\end{tabular}
Subject: Chemistry
Study the given figure and label \( X, Y \)
and Z.
A. \( x \) - Backward reaction; Y - Forward reaction; \( z \)
Products
B. \( x \) - Forward reaction; \( Y \) - Backward reaction; \( z \) Equilibrium
C. \( x \) - Reversible reaction; Y - - Irreversible reaction; \( z \) -
Equilibrium
D. \( x \) - Forward reaction; Y - Forward reaction; \( z \) -
Backward reaction
Subject: Chemistry
Which of the following reactions is known as slaking of lime?
A \( \cdot C a C O_{3} \rightarrow C a O+C O_{2} \)
в. \( C a O+2 H C l \rightarrow C a C l_{2}+H_{2} O \)
c. \( C a C O_{3}+H_{2} O \rightarrow C a(O H)_{2}+C O_{2} \)
D. \( C a O+H_{2} O \rightarrow C a(O H)_{2} \)
Subject: Chemistry
What is the name of the compound
shown in the figure?
\[
\begin{array}{rl}
\mathbf{H} & \mathbf{H} \\
\mathbf{H}-\mathbf{C}-\mathbf{C}- & \mathbf{H} \\
\mathbf{I} & \mathbf{I} \\
\mathbf{H} & \mathbf{H}
\end{array}
\]
A. 1-methyl propane
B. 3-methyl propane
c. Butane
D. 2-methyl butane