AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Figure given below shows three possibilities for the potential at two
points, \( A \) and \( B \)
In each case, the same positive charge
is moved from \( A \) to \( B \). The work done in
the positive case will be maximum is:-
\begin{tabular}{|cc|cc|cc|}
\hline \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{A} \) & \( \mathbf{B} \) & \( \mathbf{A} \) & \( \mathbf{B} \) \\
\( \mathbf{1 5 0} \mathbf{~ V} \) & \( \mathbf{5 0} \mathbf{~ V} \) & \( \mathbf{4 0} \) & \( \mathbf{0} \) & \( \mathbf{- 4 0} \mathbf{V} \) & \( -\mathbf{2 0} \mathbf{V} \) & \( \mathbf{- 8 0} \mathbf{~ V} \) \\
\( \mathbf{~ C a s e - 1} \) & & \( \mathbf{C a s e -} \mathbf{2} \) & & \( \mathbf{C a s e}-\mathbf{3} \) \\
\hline
\end{tabular}
A. case
B. Case 2
c. case 3
D. In all three cases
Subject: Chemistry
The uncertainty in momentum of a
particle is \( 3.31 \times 10^{-2} \mathrm{Kg} \) msec \( ^{-1} \)
Calculate uncertainty in its position.
A. \( 6.4 \times 10^{-33} m \)
m
В. \( 1.6 \times 10^{-33} m \)
c. \( 3.2 \times 10^{-33} m \)
D. \( 5 \times 10^{-33} m \)
E \( .2 .5 \times 10^{-33} m \)
Subject: Physics
An object is located \( 4 \mathrm{m} \) from the first of
two thin converging lenses of local lengths \( 2 \mathrm{m} \) and \( 1 \mathrm{m} \) respectively. The
lenses are separated by 3 m. The final image formed by the second lens is located from the source at a distance of
source.
\( \mathbf{A} \cdot 8.0 m \)
B. \( 7.5 m \)
\( \mathrm{c} \cdot 6.0 \mathrm{m} \)
D. 6.5 m
Subject: Physics
In Section \( A, \) defects of eye are given, in Section B, effects arising due to defects
are given and in section \( \mathrm{C} \), remedies are
given using lenses. Find the correct pair.
section \( A \) Section so \( B \)
Focal length
increases Bifocal . Myopia \( \quad \) increases
Hypermetropia Focal length
decreases
8. Presbyopia Power of
accommodation
decreases convex
3
lens
\( A \cdot(1-y-b),(2-x-c),(3-z-a) \)
B. \( (1-z-b),(2-z-b),(3-y-b) \)
C. \( (1-x-a),(2-y-c),(3-x-a) \)
D. \( (1-y-a),(2-x-a),(3-z-c) \)
Subject: Physics
The figure shows a surface \( \boldsymbol{X} \boldsymbol{Y} \)
separating two transparent media, medium - 1 and medium - 2. The lines
\( a b \) and \( c d \) represent wavefronts of \( a \)
light wave travelling in medium - 1 and incident on \( X Y . \) The lines \( e f \) and \( g h \)
represents wavefronts of the light wave
in medium - 2 after refraction.
Light travels as a:
A. Parallel beam in each medium
B. Convergent beam in each medium
c. Divergent beam in each mediu
D. Divergent beam in one medium and convergent beam in the other medium
Subject: Physics
A charged particle moves in a gravity
free space where an electric field of
strength \( \mathrm{E} \) and a magnetic field of induction B exist. Which of the following
statement is/are correct?
This question has multiple correct options
A. If \( E \neq 0 \) and \( B \neq 0, \) velocity of the particle may remain constant
B. if \( E=0 \), the particle cannot trace a circular path
c. if \( E=0 \), kinetic energy of the particle remains constant
D. none of these
Subject: Physics
If the total binding energies of \( _{1}^{2} H,_{2}^{4} H e,_{26}^{56} F e \&_{92}^{235} U \) nuclei are
2.22,28.3,492 and \( 1786 \mathrm{MeV} \)
respectively, identify the most stable nucleus of the following.
\( A \cdot \frac{56}{26} F e \)
в. \( _{1}^{2} H \)
C \( \cdot \frac{235}{92} \mathrm{U} \)
\( \mathrm{D} \cdot_{2}^{4} \mathrm{He} \)
Subject: Physics
A parallel beam of light is incident from
air at an angular \( \alpha \) on the side PQ of a right - angled triangular prism of refractive index \( n=\sqrt{2} \)
Light undergoes total internal reflection
in the prism at the face PR when \( \alpha \) has
a minimum value of \( 45^{\circ} . \) The angle \( \theta \) of
the prism is
A \( \cdot 15^{\circ} \)
В \( \cdot 22.5^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 45^{\circ} \)
Subject: Chemistry
Which of the following reactions are disproportionation reactions?
(।) \( C u^{+} \rightarrow C u^{2+}+C u \)
(II) \( 3 M n O_{4}^{-}+4 H^{+} \rightarrow 2 M n O_{4}^{-}+ \)
\( M n O_{2}+2 H_{2} O \)
(III) \( 2 K M n O_{4} \rightarrow K_{2} M n O_{4}+ \)
\( M n O_{2}+O_{2} \)
\( (\mathrm{IV}) 2 M n O_{4}^{-}+3 M n^{2+}+2 H_{2} O \rightarrow \)
\( \mathbf{5} M n O_{2}+4 H^{+} \)
\( A \cdot(1),(1) \)
B. (I), (II), (III)
\( c \cdot(11),(11),(1 v) \)
\( D .(1),(1 v) \)
Subject: Physics
If we rotate the dipole of moment \( p \)
placed in an electric field \( \boldsymbol{E} \) from an \( \boldsymbol{\theta}_{\mathbf{1}} \)
to \( \theta_{2} \), the work done by the external force is
A \( \cdot p E\left(\cos \theta_{2}-\cos \theta_{1}\right) \)
B . \( p E\left(\cos \theta_{1}-\cos \theta_{2}\right) \)
c. \( p E\left(\sin \theta_{2}-\sin \theta_{1}\right) \)
D・ \( p E\left(\sin \theta_{1}-\sin \theta_{2}\right) \)
Subject: Physics
A spiral spring is stretched to \( 20.5 \mathrm{cm} \) gradation on a metre scale when loaded with a 100 g load and to the \( 23.3 \mathrm{cm} \) gradation by 200 g load. The spring is used to support a lump of metal in air and the reading now is \( 24.0 \mathrm{cm} . \) The mass of metal lump is :
A. 250gm
в. 225 gm
c. \( 145 \mathrm{gm} \)
D. 750 gm
Subject: Chemistry
\( 10 \mathrm{mL} \) of gaseous organic compound
containing \( C, H \) and \( O \) only was mixed
with \( 100 \mathrm{mL} \) of \( \mathrm{O}_{2} \) and exploded under
identical conditions and then cooled.
The volume left after cooling was \( 90 \mathrm{mL} \)
On treatment with \( K O H, \) a contraction
of \( 20 \mathrm{mL} \) was observed. If vapour density of the compound is \( 23, \) derive molecular formula of the compound.
This question has multiple correct options
A \( \cdot C_{2} H_{6} O \)
B \( . C_{2} H_{6} O H \)
\( \mathbf{c} \cdot C_{2} H_{5} O \)
\( \mathbf{D} \cdot C_{2} H_{5} O H \)
Subject: Physics
A particle is thrown vertically up with speed u so that distance covered in last
second of flight is \( 35 m . \) If then initial
speed of throw is
A. \( 20 \mathrm{m} / \mathrm{s} \)
в. \( 26.45 \mathrm{m} / \mathrm{s} \)
c. \( 40 m / s \)
D. \( 50 \mathrm{m} / \mathrm{s} \)
Subject: Physics
If the collector current changes from \( 2 m A \) to \( 3 m A \) in a transistor when
collector - emitter voltage is increased from \( 2 V \) to \( 10 V \), the output
resistance is
\( \mathbf{A} \cdot 1 K \Omega \)
B. \( 8 K \Omega \)
\( \mathbf{c} \cdot 8 m \Omega \)
D. \( 1 \mathrm{m} \Omega \)
Subject: Chemistry
Match compounds given in (X) with their uses in \( (Y): \)
\( X \)
A. \( \mathrm{Na}_{2} \mathrm{CO}_{3} \)
I glass
B. \( \mathrm{Na}_{2} \mathrm{SO}_{3} \)
II bleach
C. \( \mathrm{NaOH} \)
III \( \mathrm{SO}_{2} \) absorber
D. NaOCI
IV detergent
A . A-IV, B-I, C-III, D-II
B. A-I, B-III, C-IV, D-1 ||
c. A-II, B-IV, C-I, D-III
D. A-III, B-II, C-IV, D-1
Subject: Maths
Find the degree of the following polynomial
\( \boldsymbol{x}^{9}-\boldsymbol{x}^{4}+\boldsymbol{x}^{12}+\boldsymbol{x}-\boldsymbol{2} \)
A \( \cdot 12 \)
B.
\( c \cdot 4 \)
D.
Subject: Maths
Solve the differential equation: \( \left(x^{2}+\right. \)
\( \boldsymbol{x} \boldsymbol{y}) \boldsymbol{d} \boldsymbol{y}=\left(\boldsymbol{x}^{2}+\boldsymbol{y}^{2}\right) \boldsymbol{d} \boldsymbol{x} \)
A \( \cdot k(y-x)^{2}=x e^{-y / x} / x \)
B. \( k(y-x)^{2}=x e^{y / x} \)
C. \( k(x-y)^{2}=x e^{-x / y} / y \)
D. \( k(y-x)=-x e^{y / x} \)
Subject: Physics
The atomic mass of a hypothetical element \( X \) is 33.42 amu. \( A \) 27.22 \( g \) sample of \( X \) combines with 84.10 g of another hypothetical element Y to form the compound XY. The atomic mass of Y is:
A. 68.50 amu
B. 69.84 amu
c. 103.3 amu
D. 111.3 amu
Subject: Maths
If \( \vec{a} \) be the position vector whose tip is \( (5,-3), \) find the coordinates of a point \( B \) such that \( \overrightarrow{A B}=\vec{a}, \) the coordinates of \( A \)
being (4,-1)
A. (9,-4)
B. (-9,-4)
\( c \cdot(9,4) \)
D. none of these
Subject: Maths
If \( f(x)=\left\{\begin{array}{l}x: x<0 \\ 1: x=0 \quad \text { then } \lim _{x \rightarrow 0} f(x)= \\ x^{2}: x>0\end{array}\right. \)
A .
B.
\( c \cdot 2 \)
D. does not exist
Subject: Physics
Magnetic induction produced at the centre of a circular loop carrying
current is \( B . \) The magnetic moment of
the loop of radius \( \boldsymbol{R} \) is
\( \left(\mu_{0}=\text { permeability of free space }\right) \)
\( ^{\mathrm{A}} \cdot \frac{B R^{3}}{2 \pi \mu_{0}} \)
в. \( \frac{2 \pi B R^{3}}{\mu_{0}} \)
c. \( \frac{B R^{2}}{2 \pi \mu_{0}} \)
D. \( \frac{2 \pi B R^{2}}{\mu_{0}} \)
Subject: Physics
toppr
Q Type your question
with same speed. P is a point on a line
joining the beams, at a distance \( x \) from
any one beam. The magnetic field at P is
B. If \( \mathrm{B} \) is plotted against \( \mathrm{x} \), which of the
following best represents the resulting
curve ?
\( A \)
B.
\( c \)
\( D \)
Subject: Maths
The area of the region bounded by the
curve \( y=2 x-x^{2} \) and \( x \) -axis is
A \( \cdot \frac{2}{3} \) sq. units
B. \( \frac{4}{3} \) sq. units
c. \( \frac{5}{3} \) sq. units
D. \( \frac{8}{3} \) sq. units
Subject: Physics
Match List I and List II
List-I List-II
a) Barometer
e) Charles law
b) specific gas constant
\( f \) ) \( J m o l e^{-1} K \)
-1
c) gas thermometer
g) Boyels law
d) universal gas constant
h) \( \operatorname{JKg}^{-1} \mathrm{K}^{-1} \)
A. a-h,b-e,c-f, d-g.
B. a-g, b-h, c-e,d-f.
c. a-f, b-g,c-h,d-e.
D. \( a-f, b-e, c-h, d-g . \)
Subject: Physics
Find fringe width and number of
possible maxima on the screen \( \boldsymbol{E} \)
A. \( 1.1 m m, 8 \)
B. \( 1.1 m m, 9 \)
c. \( 0.8 m m, 8 \)
D. \( 0.9 m m, 9 \)
Subject: Biology
Assertion
UV radiation causes photo-dissociation of ozone into \( O_{2} \) and \( 0, \) thus causing damage to the stratospheric ozone layer.
Reason
Ozone hole is resulting in global warming and climate change.
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
At what speed, the velocity head of a stream of water be equal to
\( 40 \mathrm{cm} \) of \( \mathrm{Hg} ? \)
B. \( 432.6 \mathrm{cms}^{-1} \)
c. \( 632.6 \mathrm{cms}^{-1} \)
D. \( 832.6 \mathrm{cms}^{-1} \)
Subject: Chemistry
One mole of any substance contains
\( 6.022 \times 10^{23} \) atoms/molecules. Number
of molecules of \( H_{2} S O_{4} \) present in 100
\( \mathrm{mL} \) of \( 0.02 \mathrm{M} H_{2} S O_{4} \) solution is
\( -? \)
A . \( 12.044 \times 10^{20} \) molecules
B. \( 6.022 \times 10^{23} \) molecules
C. \( 1 \times 10^{23} \) molecules
D. \( 12.044 \times 10^{23} \) molecules
Subject: Physics
A light ray from air is incident \( ( \) as
shown in figure \( ) \) at one end of a glass
fibre (refractive index, \( \mu=1.5 \) ) making
an incidence angle of \( 60^{\circ} \) on the lateral
surface, so that it undergoes a total
internal reflection. How much time
would it take to traverse the straight
fiber of length 1 km?
A. \( 3.33 \mu s \)
B. \( 6.67 \mu s \)
\( c .5 .77 \mu s \)
D. \( 3.85 \mu s \)
Subject: Physics
Two bodies, \( A \) and \( B \) initially, at rest, move towards each other under mutual force of attraction. At the instant when
the speed of \( A \) is \( v \) and that of \( B \) is \( 2 v \)
the speed of the center of mass of the
bodies is
A . \( 3 v \)
B . \( 2 v \)
c. \( 1.5 v \)
D. zero
Subject: Physics
Fill in the blank:
In a geostationary orbit, a satellite is at
a distance of from the
Earth
\( \mathbf{A} \cdot 53,880 \mathrm{km} \)
B . \( 25,880 \mathrm{km} \)
c. \( 36,000 k m \)
D. \( 1,12,000 \mathrm{km} \)
Subject: Physics
Work done by all forces in ring in 0 to
\( \left(\frac{n}{\omega}\right) \) time interval is
\( A \)
в. \( \frac{1}{8} \frac{\left(B_{0} Q R\right)^{2}}{m} \)
c. \( \frac{1}{4} \frac{\left(B_{0} Q R\right)^{2}}{m} \)
D. \( \frac{1}{2} \frac{\left(B_{0} Q R\right)^{2}}{m} \)
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{ll}2 x+3 & ,-3 \leq x<-2 \\ x+1, & -2 \leq x<0 \\ x+2, & 0 \leq x \leq 1\end{array}\right. \)
At what points the function is/are not differentiable in the interval (-3,1)
This question has multiple correct options
A . -2
B.
\( c .1 \)
D. \( 1 / 2 \)
Subject: Maths
If a curve passes through the point
(1,0) and has slope \( \left(1+\frac{1}{x^{2}}\right) \) at any point \( (x, y) \) on it, then the ordinate of point on the curve whose abscissa is
\( -3, \) is?
A \( \cdot \frac{3}{8} \)
B. \( \frac{-8}{3} \)
c. \( \frac{-3}{8} \)
D. \( \frac{8}{3} \)
Subject: Chemistry
Hydrogen \( \left(_{1}^{1} \boldsymbol{H}\right), \) deuterium \( \left(_{1}^{2} \boldsymbol{H}\right), \) singly
ionised helium \( \left(_{2}^{4} H e^{+}\right) \) and doubly
ionised lithium \( \left(_{3}^{6} L i^{2+}\right) \) all have one electron around the nucleus. Consider
an electron transition from \( n=2 \) to
\( \boldsymbol{n}=1 . \) If the wavelength of emitted
radiation are \( \lambda_{1}, \lambda_{2}, \lambda_{3} \) and \( \lambda_{4} \)
respectively. Then approximately which one of the following is correct?
A \( \cdot \lambda_{1}=\lambda_{2}=4 \lambda_{3}=9 \lambda_{4} \)
B . \( \lambda_{1}=2 \lambda_{2}=3 \lambda_{3}=4 \lambda_{4} \)
C \( \cdot 4 \lambda_{1}=2 \lambda_{2}=2 \lambda_{3}=\lambda_{4} \)
D. \( \lambda_{1}=2 \lambda_{2}=2 \lambda_{3}=\lambda_{4} \)
Subject: Maths
If \( f(x) \) is a polynomial of nth degree then \( \int e^{x} f(x) d x= \)
A \( \cdot e^{x}\left[f(x)-f^{\prime}(x)+f^{\prime \prime}(x)-f^{\prime \prime \prime}(x)+\ldots \ldots+(-1)^{n} f^{n}(x)\right] \)
Where \( f^{n}(x) \) denotes nth order derivative of w.r.t. \( x \)
B \cdot \( e^{x}\left[f(x)+f(x)+f^{\prime}(x)+f^{\prime \prime}(x)+\ldots \ldots+(-1)^{n} J^{n}(x)\right] \)
C. \( e^{x}\left[f(x)+f^{\prime}(x)+f^{\prime}(x)+f^{\prime \prime \prime}(x)+\ldots \ldots+(-1)^{n} f^{2 n}(x)\right] \)
D \cdot \( d\left[f(x)+f(x)+f^{\prime}(x)+f^{\prime \prime \prime}(x)+\ldots \ldots+\{-1)^{n} f^{3 n}(x)\right. \)
Subject: Chemistry
The freezing point \( \left(\text { in }^{\circ} C\right) \) of a solution
containing 0.1 g of \( K_{3}\left[F e(C N)_{6}\right] \) (molar \( \operatorname{mass} 329) \) in 100 g of water \( \left(\boldsymbol{K}_{\boldsymbol{f}}=\right. \)
1.86 \( K . k g . m o l^{-1} \) ) is :
A. \( -2.3 \times 10^{-2} \) о \( C \)
В. \( -5.7 \times 10^{-2} \) о \( C \)
c. \( -5.7 \times 10^{-3} \) о \( C \)
D. \( -1.2 \times 10^{-2} \) о \( C \)
Subject: Chemistry
The boiling point of 0.1molal
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) solution will be :
\( \left(\text {Given } \boldsymbol{K}_{\boldsymbol{b}} \text {for water}=\mathbf{0 . 5 2 K k g} \mathbf{m o l}\right. \)
A \( \cdot 100.52^{0} C \)
В. \( 100.104^{0} C \)
c. \( 100.26^{\circ} \mathrm{C} \)
D. \( 102.6^{\circ} \mathrm{C} \)
Subject: Chemistry
The oxidation number of \( C r \) is +6 in :
This question has multiple correct options
A \( \cdot \operatorname{Fe} C r_{2} O_{4} \)
в. \( K C r O_{3} C l \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{5} \)
\( \mathrm{D} \cdot\left[\mathrm{Cr}(\mathrm{OH})_{4}\right]^{8} \)
Subject: Physics
Two metallic spheres \( S_{1} \) and \( S_{2} \) are
made of the same material and have
got identical surface finish. The mass of
\( S_{1} \) is thrice that of \( S_{2} \). Both the spheres
are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of
\( S_{1} \) to that of \( S_{2} \) is
\( A \cdot 1 \)
\( \overline{3} \)
в. \( \frac{1}{\sqrt{3}} \)
c. \( \frac{\sqrt{3}}{1} \)
\( D \)
\( \left(\frac{1}{3}\right) \)
Subject: Maths
Let \( x \) be a real number \( [x] \) denotes the
greatest integer function, and \( \{x\} \)
denotes the fractional part and \( (x) \) denotes the least integer function,then solve the following.
\( [2 x]-2 x=[x+1] \)
\( ^{A} \cdot\left\{-1,-\frac{1}{2}\right\} \)
в. \( \left\{-1, \frac{1}{2}\right\} \)
c. \( \left\{1,-\frac{1}{2}\right\} \)
D \( \cdot\left\{1, \frac{1}{2}\right\} \)
Subject: Physics
The radius of a disc is \( 1.2 \mathrm{cm} . \) Its area according to the concept of significant figures will be given by :
A \( .4 .5216 c m^{2} \)
B . \( 4.521 \mathrm{cm}^{2} \)
c. \( 4.52 \mathrm{cm}^{2} \)
D. \( 4.5 \mathrm{cm}^{2} \)
Subject: Physics
A parallel plate capacitor having
capacitance \( C \) has two plates of same
area \( A \) and thickness t. The figure shows the charges available on the four
surfaces of the plates. The potential
difference V between the two plates is
given by:
A \( \cdot \frac{q_{2}-q_{3}}{2 C} \)
в. \( \frac{q_{2}-q_{3}}{C} \)
c. \( \frac{q_{1}-q_{4}}{2 C} \)
D. \( \frac{q_{1}-q_{4}}{C} \)
Subject: Physics
Keeping the banking angle same to increase the maximum speed with
which a vehicle can travel on the curved
road by \( 10 \%, \) the radius of curvature of the road has to be changed from \( 20 m \)
to-
A. \( 16 m \)
в. 18 т
c. \( 24.2 m \)
D. 30.5 \( m \)
Subject: Physics
Assertion
A soft iron core is used in a moving coil galvanometer to increase the strength of magnetic field.
Reason
From soft iron more number of the
magnetic lines of force passes.
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
If current \( I_{1}=3 A \) sinwt and \( I_{2}= \)
4 Acos\( \omega t, \) then \( I_{3} \) is
A \( .5 A \sin \left(\omega t+53^{\circ}\right) \)
B. \( 5 A \sin \left(\omega t+37^{\circ}\right) \)
c. \( 5 A \sin \left(\omega t+45^{\circ}\right) \)
D. 5 Asin \( \left(\omega t+30^{\circ}\right) \)
Subject: Physics
An electric iron uses a power of \( 1320 W \) when set to higher temperature. If set to lower temperature one third of higher
temperature current is used. If iron is
connected to a potential of \( 220 V \), then power used to lower temperature is
\( \mathbf{A} \cdot 220 W \)
в. \( 440 \mathrm{W} \)
c. \( 660 W \)
D. \( 880 W \)
Subject: Maths
In a triangle, there are 3 different angles.Which of the following statements is/are definitely true about the angles?
(i) Sum of all the angles is \( 100^{\circ} \)
(ii) One angle is obtuse and other two
are acute and right angle respectively.
(iii) Sum of any two angles is always
less than \( 180^{\circ} \)
A. (ii) only
B. (ii)and (iii) both
c. (iii) only
D. (i) and (iii) both
Subject: Chemistry
For a firt order reaction \( \boldsymbol{A} \rightarrow \boldsymbol{P}, \) the
temperature (T) dependent rate constant (k) was found to follow the equation \( \log k=-(2000) \frac{1}{T}+6.0 . \) The
pre-exponential factor A and the
activation energy \( E_{a}, \) respectively, are?
A . \( 1.0 \times 10^{6} s^{-1} \) and \( 9.2 k J \) mol \( ^{-1} \)
B. \( 6.0^{-1} \) and \( 16.6 k J \) mol \( ^{-1} \)
C . \( 1.0 \times 10^{6} s^{-1} \) and \( 16.6 k J \) mol \( ^{-1} \)
D. \( 1.0 \times 10^{6} s^{-1} \) and \( 38.3 k J \) mol\( ^{-1} \)
Subject: Physics
What force should be applied on the
wedge so that block over it does not
move? (All surfaces are smooth).
\( \mathbf{A} \cdot F=(M+m) g \cot \theta \)
B . \( F=(M+m) g \tan \theta \)
\( \mathbf{C} \cdot F=(M+m) g \sin \theta \)
\( \mathbf{D} \cdot F=(M+m) g \cos \theta \)
Subject: Physics
Q Type your question-
is pulled by means of a string attached
at \( \mathrm{D} \) and inclined at an angle of \( 30^{0} \) with
the horizontal, as shown in the figure. The force \( P \) which should be applied to
the string to just lift the block off the roller is approximately \( \left(\frac{M g}{n}\right) . \) Find the
value of \( n .\left(\text { Given } \sin 75^{0}=0.9660\right) \)
\( A \)
B. 2
\( c \cdot 4 \)
\( D \)
Subject: Physics
Given a uniform electric field \( \overrightarrow{\boldsymbol{E}}=\mathbf{5} \times \)
\( 10^{3} \hat{i} N / C, \) find the flux of this field
through a square of \( 10 \mathrm{cm} \) on a side whose plane is parallel to the \( y \) -z plane. What could be the flux through the
same square if the plane makes \( 30^{\circ} \)
angle with the \( x \) -axis?
Subject: Chemistry
Carbonic acid, \( \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{O}_{3}, \) is a diprotic
acid for which \( \boldsymbol{K}_{1}=\mathbf{1 0}^{-\mathbf{7}} \) and \( \boldsymbol{K}_{\mathbf{2}}= \)
\( 10^{-11} . \) Which solution will produce a pH
closet to \( 9 ? \)
A. \( 0.1 \mathrm{M} \mathrm{H}_{2} \mathrm{CO}_{3} \)
в. 0.1 М \( N a_{2} \) СО \( _{3} \).
c. 0.1 М NaHCO\( _{3} \)
D. 0.1 М \( N a H C O_{3} \) and 0.1 М \( N a_{2} C O_{3} \)
Subject: Physics
Assertion
When fluids flow, there is some loss of
energy due to friction.
Reason
Different layers of the fluid exert forces
on each other.
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
Addition of 0.1 mole of which of the
following to a buffer solution consisting
of 1 mole each of \( C H_{3} C O O H \& \)
\( \boldsymbol{C H}_{3} \) COONa causes greater increase
in \( p H ? \)
A. \( H C l \)
в. \( C H_{3} \) СООН
c. \( C H_{3} \) COONa
D. \( N a O H \)
Subject: Chemistry
toppr \( t \)
Q Type your question-
\[
\underset{\mathbf{C}_{7} \mathbf{H}_{\mathbf{1} 4}}{(\mathbf{A})} \frac{\mathbf{H}_{2}+\mathbf{P} \mathbf{d}}{\left(\mathbf{C}_{7} \mathbf{H}_{16}\right)}
\]
Optically active Optically active
Optically active
This question has multiple correct options
\( A \)
(A) and (C) are the same compound which is
B.
(A) and (C) are the same compound which is
\( c \)
(B) is
\( D \)
(B) is
Subject: Maths
fthe rate of change in \( y=\frac{x^{3}}{3}-2 x^{2}+ \)
\( 5 x+7 \) is two times the rate of change
in \( \boldsymbol{x}, \) then \( \boldsymbol{x}= \)
A .2,3
в. 1,3
c. 1,2
D. 2,5
Subject: Physics
A particle of mass \( m \) is executing S.H.M If amplitude is a and frequency \( n \), the value of its force constant will be:
\( \mathbf{A} \cdot m n^{2} \)
B. \( 4 m n^{2} a^{2} \)
\( \mathrm{c} \cdot m a^{2} \)
D. \( 4 \pi^{2} m n^{2} \)
Subject: Maths
The area of the parallelogram whose adjacent sides are \( 2 \mathrm{i}-3 \mathrm{k} \) and \( 4 \mathrm{j}+2 \mathrm{k} \) is
A \( \cdot 2 \sqrt{(14)} \)
в. \( 4 \sqrt{(14)} \)
C \( .16 \sqrt{(14)} \)
D. \( \sqrt{(14)} \)
Subject: Chemistry
The enthalpy change \( (\triangle \boldsymbol{H}) \) for the
reaction, \( \boldsymbol{N}_{2}(\boldsymbol{g})+\boldsymbol{3} \boldsymbol{H}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{2} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g}) \)
is \( -92.38 \mathrm{kJ} \) at \( 298 \mathrm{K} \). The internal energy
change \( \triangle \boldsymbol{U} \) at \( 298 \mathrm{K} \) is:
A \( .-92.38 \mathrm{kJ} \)
J. \( -92.38 \mathrm{JJ} \).
B. -87.42 kJ
c. - -97.34 k
D. - 89.9 kJ
Subject: Maths
The sum of the radius and the height of a solid cylinder is \( 37 \mathrm{cm} \) If the total
surface area of the solid is \( 1628 \mathrm{cm}^{2} \)
find the circumference of the base
\( A .30 \mathrm{cm} \)
B. 34 \( \mathrm{cm} \)
c. \( 44 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
Subject: Chemistry
The weight in grams of \( O_{2} \) formed at \( P t \)
anode during the electrolysis of aq.
\( K_{2} S O_{4} \) solution during the passage of one coulomb of electricity is:
A \( \cdot \frac{16}{96800} \)
в. \( \frac{8}{96500} \)
c. \( \frac{32}{96500} \)
D. \( \frac{64}{96500} \)
Subject: Chemistry
The reaction, \( 2 S O_{2(g)}+O_{2(g)} \rightleftharpoons \)
\( 2 S O_{3(g)} \) is carried out in a \( 1 d m^{3} \) vessel
and \( 2 d m^{3} \) vessel separately. The ratio of the reaction velocities will be:
A . 1: 8
B. 1: 4
c. 4: 1
D. 8: 1
Subject: Physics
Two radioactive substances \( X \) and \( Y \)
emit \( \alpha \) and \( \beta \) particles respectively. Their disintegration constants are in the ratio \( 2: 3 . \) To have equal probabilities of getting emission of \( \alpha \) and \( \beta \) particles,
find the ratio of number of atoms of \( X \) to
that of \( Y \) at any time instant.