AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
\( \boldsymbol{E}_{\boldsymbol{n}}=-\mathbf{3 1 3 . 6} / \boldsymbol{n}^{2} \boldsymbol{k c a l} / \)mol. If the value
of \( \boldsymbol{E}=-\mathbf{3 4 . 8 4} k c a l / \) mol, to which
value does 'n' correspond?
\( \mathbf{A} \cdot \mathbf{4} \)
B. 3
c. 2
D.
Subject: Physics
A sphere of mass \( m_{1}=2 k g \) collides
with a sphere of mass \( m_{2}=3 k g \) which
is at rest. Mass \( m_{1} \) will move at right angle to the line joining centres at the
time of collision, if the coefficient of
restitution is
A \( \cdot \frac{4}{9} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{2}{3} \)
D. \( \sqrt{\frac{2}{3}} \)
Subject: Chemistry
Solubility of thorium phosphate (molar
\( \operatorname{mass}=\boldsymbol{m}) \) is \( \boldsymbol{w} \boldsymbol{g} / \mathbf{1 0 0} \mathrm{mL} \) at \( \mathbf{2 5}^{\boldsymbol{o}} \boldsymbol{C} \). The
\( K_{s p} \) of thorium phosphate is:
A
в. \( _{6.912 \times 10^{3}} \times\left(\frac{w}{m}\right)^{7} \)
c. \( _{1.08 \times 10^{7}} \times\left(\frac{w}{m}\right)^{5} \)
D. \( 10^{2} \times\left(\frac{w}{m}\right)^{2} \)
Subject: Chemistry
After how many seconds will the
concentration of a reactant in a
reaction is halved in a first
order reaction, if the rate constant is
\( 6.93 \times 10^{-3} s e c^{-1} \)
A \( \cdot 10^{4} \)
B. 100
\( c \cdot 10^{3} \)
D. 10
Subject: Physics
In a LR circuit of 3 m \( H \) inductane and
\( 4 \Omega \) resistance, emf \( E=4 \cos (1000 t) \)
volt is applied. The amplitude of current is:
\( \mathbf{A} \cdot 0.8 A \)
B. \( \frac{4}{7} \)
c. \( 1.0 A \)
D. \( \frac{4}{\sqrt{7}} A \)
Subject: Physics
The dimensions of the ratio of magnetic
flux \( (\phi) \) and permeability \( (\mu) \) are?
\( \mathbf{A} \cdot\left[M^{0} L^{1} T^{0} A^{1}\right] \)
B. \( \left[M^{0} L^{-3} T^{0} A^{1}\right] \)
c. \( \left[M^{0} L^{1} T^{1} A^{-1}\right] \)
D・ \( \left[M^{0} L^{2} T^{0} A^{1}\right] \)
Subject: Physics
Ine varıatıon or anoae current ın a
triode valve corresponding to a change
in grid potential at three different
values of the plate potential is shown in
the given figure. The mutual
conductance of triode is
\( \mathbf{A} \cdot 5 \times 10^{-3} m h o \)
B . \( 2.5 \times 10^{-3} \) mho
C. \( 7.5 \times 10^{-3} \) mho
D. \( 9.5 \times 10^{-3} \) mho
Subject: Chemistry
If we assume that \( N_{o}=1.2 \times 10^{23} \)
\( m o l^{-1}, \) then molar mass of \( O_{2} \) will be taken as:
A \( \cdot \frac{32}{5} g m o l^{-1} \)
в. \( \frac{32}{6} g m o l^{-1} \)
c. \( 32 \times 10^{23} \mathrm{g} \) mol \( ^{-1} \)
D. \( \frac{1 \times 10^{23}}{32} g \) mol \( ^{-1} \)
Subject: Chemistry
Which is correct according to the
increasing elliptical nature of sub-
shell?
\( A \cdot 2 s<5 p<3 p<4 d \)
B. \( 4 d<2 s<5 p<3 p \)
\( \mathrm{C} \cdot 4 \mathrm{d}<2 \mathrm{s}<3 \mathrm{p}<5 \mathrm{p} \)
D. \( 3 p<4 d<2 s<5 p \)
Subject: Chemistry
The value of Kc for the reaction
\( 3 O_{2}(g) \rightleftharpoons 2 O_{3}(g) \) is \( 1.7 \times 10^{-56} \mathrm{at} \)
\( 25^{\circ} \mathrm{C} . \) Do you expect pure air at \( 25^{\circ} \mathrm{C} \) to
contain much \( O_{3} \) (ozone) when \( O_{2} \) and
\( O_{3} \) are in equilibrium ? If the
equilibrium concentration of \( \boldsymbol{O}_{2} \) in air
\( \operatorname{at} 25^{\circ} C \) is \( 8 \times 10^{3} M, \) what is the
equilibrium concentration of \( \boldsymbol{O}_{3} ? \)
\( \mathbf{A} \cdot \) Yes, \( \sim 3 \times 10^{-32} \) mol \( / L \)
B. Yes, \( 6 \times 10^{-32} \) mol \( / L \)
C. Yes, \( \sim 9 \times 10^{-32} \) mol \( / L \)
D. None of these
Subject: Maths
The mean and variance of \( n \)
observations \( x_{1}, x_{2}, x_{3}, \dots \dots \dots \dots . . x_{n} \) are 5
and 0 respectively. If \( \sum_{i=1}^{n} x_{i}^{2}=400, \) then \( n \) is
A . 10
B. 20
c. 25
D. 36
Subject: Chemistry
Assertion
Sodium metal is stored under Kerosene.
Reason

Metallic sodium melts when exposed to
air.
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
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1} \) and \( \boldsymbol{g}(\boldsymbol{x})=\sin \boldsymbol{x} \)
Show that \( \boldsymbol{f} \circ \boldsymbol{g} \neq \boldsymbol{g} \circ \boldsymbol{f} \)
Subject: Physics
Q Type your question.
viscous and incompressible liquids of
\( \boldsymbol{H} \)
densities \( d \) and \( 2 d, \) each of height \( \frac{-}{2} \) as
shown in figure. The lower density liquid is open to the atmosphere having
pressure \( P_{0} . \) A homogeneous solid cylinder of length \( L\left(L<\frac{H}{2}\right) \) cross \( \boldsymbol{A} \)
sectional area \( - \) is immersed such that \( \mathbf{5} \)
it floats with its axis vertical at the
liquid-liquid interface with the length
in the denser liquid. The total pressure at the bottom of the container is given as \( p=p_{o}+\frac{x H+L}{4} . \) Find \( x \)
Subject: Physics
The electric field at a distance \( \frac{3 R}{2} \) from
the centre of a charged conducting spherical shell of radius \( \mathrm{R} \) is \( \mathrm{E} \). The electric field at a distance \( \frac{\boldsymbol{R}}{\mathbf{2}} \) from the centre of the sphere is :
A. zero
B. E
c. \( \frac{E}{2} \)
D. \( \frac{E}{3} \)
Subject: Maths
The relation \( R \) defined on the \( \operatorname{set} A= \)
\{1,2,3,4,5\} by \( R= \)
\( \left\{(a, b):\left|a^{2}-b^{2}\right|<16\right\}, \) is not given by
A \( \cdot\{(1,1),(2,1),(3,1),(4,1),(2,3)\} \)
B・ \{(2,2),(3,2),(4,2),(2,4)\}
c. \{(3,3),(4,3),(5,4),(3,4)\}
D. none of these
Subject: Chemistry
Consider the following salts:
\( N a C l, H g C l_{2}, H g_{2} C l_{2}, C u C l_{2}, C u C l \)
and \( A g C l \). Identify the correct set of insoluble salts in water.
A. \( H g_{2} C l_{2}, C u C l, A g C l \)
в. \( H g C l_{2}, C u C l, A g C l \)
c. \( H g_{2} C l_{2}, C u C l_{2}, A g C l \)
D. \( H g_{2} C l_{2}, C u C l, N a C l \)
Subject: Physics
After absorbing a slowly moving neutron of mass \( m_{N} \) (momentum \( \sim 0 \) )
a nucleus of mass \( M \) breaks into two
nuclei of masses \( m_{1} \) and
\( \mathbf{5} \boldsymbol{m}_{1}\left(\boldsymbol{6} \boldsymbol{m}_{1}=\boldsymbol{M}+\boldsymbol{m}_{N}\right) \) respectively. If
the de-Broglie wavelength of the
nucleus with mass \( m_{1} \) is \( \lambda \), the de
Broglie wavelength of the other nucleus will be:
\( A \cdot \lambda \)
в. \( 25 \lambda \)
\( c \cdot 5 \lambda \)
D. \( \lambda / 5 \)
Subject: Maths
Write first four terms of the AP, when
the first term \( a \) and the common
difference \( d \) are given as follows \( a= \)
\( -1.25, d=-0.25 \)
A. First four terms of the given AP are -1.25,-1.70,-1.95,-2.00
B. First four terms of the given AP are -1.25,-1.50,-1.75,-2.00
c. Not an AP
D. None of these
Subject: Chemistry
\( \boldsymbol{A O} \rightleftharpoons \frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{A}_{2}+\left(\frac{\mathbf{1}}{\mathbf{2}}\right) \boldsymbol{O}_{2} ; \boldsymbol{K}=\mathbf{5} \times \mathbf{1 0}^{\mathbf{5}} \)
\( \boldsymbol{B O} \rightleftharpoons \frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{B}_{2}+\left(\frac{\mathbf{1}}{\mathbf{2}}\right) \boldsymbol{O}_{2} ; \boldsymbol{K}=\mathbf{1 . 1 0} \times \)
\( \mathbf{1} \mathbf{0}^{\mathbf{1}} \)
\( \boldsymbol{C O} \rightleftharpoons \frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{C}_{2}+\left(\frac{\mathbf{1}}{\mathbf{2}}\right) \boldsymbol{O}_{2} ; \boldsymbol{K}=\mathbf{2} . \mathbf{3} \times \mathbf{1 0}^{\mathbf{1 8}} \)
\( \boldsymbol{D} \boldsymbol{O} \rightleftharpoons \frac{1}{2} \boldsymbol{D}_{2}+\left(\frac{1}{2}\right) \boldsymbol{O}_{2} ; \boldsymbol{K}=\mathbf{1 . 4} \times \mathbf{1 0}^{21} \)
Which oxide is most stable?
A \( . A O \)
B. \( B O \)
c. \( C O \)
D. \( D O \)
Subject: Physics
A massless meter stick is in equilibrium about its center point.
If a mass, \( m_{1}=50 g \), is placed at the
\( 30 c m \) mark and a mass, \( m_{2}=75 g, \) is
placed at the \( 70 \mathrm{cm} \) mark, where must a
mass, \( m_{3}=50 g, \) be placed to keep the
system in equilibrium?
A. \( 10 \mathrm{cm} \)
в. \( 40 \mathrm{cm} \)
\( \mathbf{c} .50 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
E. \( 90 \mathrm{cm} \)
Subject: Maths
A spherical balloon is being inflated so that its volume increase uniformly at
the rate of \( 40 \mathrm{cm}^{3} / \) minute. The rate of
increase in its surface area when the
radius is \( 8 \mathrm{cm} \) is
\( \mathbf{A} \cdot 10 \mathrm{cm}^{2} / \mathrm{minute} \)
B . \( 20 \mathrm{cm}^{2} / \) minute
\( \mathbf{c} \cdot 40 \mathrm{cm}^{2} / \mathrm{minute} \)
D. none of these
Subject: Physics
The ends of a stretched string of length
\( L \) are fixed at \( x=0 \) and \( x=L . \) In one
experiment, the displacement of the wire is \( y_{1}=2 A \sin \left(\frac{\pi x}{L}\right) \sin \omega t \) and
energy \( \boldsymbol{E}_{1} \) and in another experiment,
its displacement is \( y_{2}= \) \( A \sin \left(\frac{2 \pi x}{L}\right) \sin 2 \omega t \) and energy \( E_{2} \)
then
\( \mathbf{A} \cdot E_{2}=E_{1} \)
B . \( E_{2}=2 E_{1} \)
\( \mathbf{c} \cdot E_{2}=4 E_{1} \)
D. \( 16 E_{1} \)
Subject: Chemistry
Which of the following equations
represents reducing property of \( \boldsymbol{S O}_{2} \) ?
A \( \cdot 2 H_{2} S+S O_{2} \rightarrow 3 S+2 H_{2} O \)
в. 3 Fe \( +S O_{2} \rightarrow 2 F e O+F e S \)
c. \( K_{2} C r_{2} O_{7}+S O_{2}+H_{2} S O_{4} \rightarrow K_{2} S O_{4}+C r_{2}\left(S O_{4}\right)_{3}+ \)
\( H_{2} O \)
D. All of these
Subject: Physics
On the earth, a Sumo of \( 420 \mathrm{kg} \) is checking his reading on a spring balance. To have the same reading of spring balance on the moon, how many Sumos of mass \( 420 \mathrm{kg} \) each should stand on it. Explain. \( \left(g=30 \mathrm{m} \mathrm{s}^{-2}\right) \)
\( A \cdot 6 \)
B. 12
\( c \cdot 18 \)
D.
Subject: Physics
A steel rope has length \( L \), area of cross-
section \( A \), Young's modulus \( Y \). Density \( =d \) ]. If the steel rope is
vertical and moving with the force acting vertically up at the upper end, find the strain at a point \( \frac{L}{3} \) from lower
end.
\( \mathbf{A} \cdot(d g L) / 2 Y \)
в. \( (d g L) / 4 Y \)
\( \mathbf{c} \cdot(d g L) / 6 Y \)
D. \( (d g L) / 8 Y \)
Subject: Maths
The value of \( \sin ^{2} 30^{\circ}-\cos ^{2} 30^{\circ} \) is:
A. \( -\frac{1}{2} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{3}{2} \)
D. \( \frac{2}{3} \)
Subject: Chemistry
Mark the correct order of decreasing
acid strength of the following
compounds.
\( (b) \)
\( (c) \)
\( (d) \)
\( \mathrm{e} \)
\( A \cdot e>d>b>a>c \)
\( B \cdot b>d>a>c>e \)
\( c \cdot d>e>c>b>a \)
\( D \cdot e>d>c>b>a \)
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) are defined by
\( \boldsymbol{f}(\boldsymbol{x})=\mathbf{5} \boldsymbol{x}-\boldsymbol{3}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{3}, \) then
\( \left(g o f^{-} 1\right)(3)= \)
A \( \cdot \frac{25}{7} \)
в. \( \frac{111}{25} \)
c. \( \frac{9}{25} \)
D. \( \frac{25}{111} \)
Subject: Physics
The value of \( g \) at a particular point is 9.8
\( m s^{-2} . \) Suppose the earth suddently shrinks uniformly to half its present size without losing any mass. The value of \( g \) at the same point (distance of the point from the centre of earth does not change) will now be
A. \( 9.8 m s^{-2} \)
B. \( 4.9 m s^{-2} \)
\( \mathbf{c} \cdot 19.6 \mathrm{ms}^{-2} \)
D. \( 39.2 \mathrm{ms}^{-2} \)
Subject: Chemistry
What is the density of wet air with \( 75 \% \) relative humidity at 1 atm and \( 300 \mathrm{K} \) ?
Given : vapour pressure of \( H_{2} O \) is 30 torr
and average molar mass of air is
\( 29 g / m o l \)
A. \( 1.614 g / L \)
в. \( 0.96 g / L \)
c. \( 1.06 g / L \)
D. \( 1.164 g / L \)
Subject: Chemistry
The value of \( K_{f} \) for water is \( 1.86^{\circ} \) calculated from glucose solution.The
value of \( \boldsymbol{K}_{f} \) for water calculated for
Na Cl solution will be :
\( \mathbf{A} .=1.86 \)
B. \( <1.86 \)
\( c \cdot>1.86 \)
D. zero
Subject: Maths
D, \( E \) and \( F \) are the mid-point of sides \( B C \)
CA and \( A B \) of \( \triangle A B C, \) then area \( \triangle A B C \)
area \( \triangle \mathrm{DEF}= \)
A . 4: 1
B. 1: 4
c. 2: 1
D. 4: 3
Subject: Physics
A thick shell with inner radius \( R \) and
outer radius \( 3 R \) has a uniform charge
density \( \sigma c / m^{3} . \) It has a spherical cavity of radius \( R \) as shown in the figure. the
electric field at the centre of the cavity is
A . zero
в. \( 2 \sigma R / \varepsilon_{0} \)
c. \( 3 \sigma R / 4 \varepsilon_{0} \)
D. \( 7 \sigma R / 12 \varepsilon_{0} \)
Subject: Physics
A needle of length \( 5 \mathrm{cm}, \) placed \( 45 \mathrm{cm} \) from a lens form an image on a screen placed \( 90 \mathrm{cm} \) on the other side of the
lens. The type of lens and its focal length
are :
A. convex, 30 cm
B. concave, 30 cm
c. convex, \( 60 \mathrm{cm} \)
D. concave, 60 cm
Subject: Chemistry
Order of paramagnetic character among following elements is/are:
This question has multiple correct options
\( \mathbf{A} \cdot M n>F e>C r \)
в. \( F e>Z n>C r \)
c. \( C r>F e>Z n \)
\( \mathrm{D} \cdot \mathrm{Cr}>\mathrm{Mn}>\mathrm{Fe} \)
Subject: Physics
The co-ordinates of a moving particle at
any time \( t \) are given by \( \alpha t^{3} \) and \( y=\beta t^{3} \)
The speed of the particle at time is given by
A \( \cdot 3 t \sqrt{\alpha^{2}+\beta^{2}} \)
B . \( 3 t^{2} \sqrt{\alpha^{2}+\beta^{2}} \)
c. \( 3 t \sqrt{\alpha^{2}+\beta^{2}} \)
D. \( \sqrt{\alpha^{2}+\beta^{2}} \)
Subject: Physics
A substance contains \( 35.0 g \) nitrogen,
\( 5.05 g \) hydrogen, and \( 60.0 g \) oxygen. How
many grams of oxygen are there in a
\( 200 g \) sample of the substance?
A. \( 10.1 g \)
B. \( 60.0 g \)
c. \( 70.0 g \)
D. 1209
E . \( 140 g \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\sum_{\boldsymbol{r}=\mathbf{0}}^{\boldsymbol{n}} \boldsymbol{a}_{\boldsymbol{r}} \boldsymbol{x}^{\boldsymbol{r}} \)
for
\( \boldsymbol{a}_{\boldsymbol{r}} \boldsymbol{\epsilon} \boldsymbol{R} ; \boldsymbol{r} \boldsymbol{\epsilon} \boldsymbol{N} ; \boldsymbol{n} \geq \mathbf{3} \)
If \( \boldsymbol{f}(\boldsymbol{x}) \neq \mathbf{0} \) for \( \boldsymbol{x} \boldsymbol{\epsilon}(\boldsymbol{\alpha}, \boldsymbol{\beta}) \)
Then, if \( (\boldsymbol{\alpha}<\boldsymbol{t}<\boldsymbol{\beta}) \)
This question has multiple correct options
A. \( f(x) \) is continuous and Differentiable over \( (\alpha, \beta) \) atleast
B. \( (x-\alpha)(x-\beta) f(x) \) is continuous and Differentiable over \( (\alpha, \beta) \) atleast
C \( .(x-\alpha)(x-\beta) f(x) \) is continuous, but Not
differentiable over \( (\alpha, \beta) \)
\( \frac{f^{\prime}(t)}{f(t)}=\frac{1}{\alpha-t}+\frac{1}{\beta-t}, \) for atleast one \( ^{\prime} t^{\prime} \) in \( (\alpha, \beta) \)
Subject: Maths
Construct a quadrilateral \( \boldsymbol{A B N V} \) where \( \boldsymbol{A} \boldsymbol{V}=\mathbf{7} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{A}=\mathbf{8} \boldsymbol{c m}, \boldsymbol{B} \boldsymbol{N}= \)
\( \mathbf{1 0} c \boldsymbol{m}, \boldsymbol{N} \boldsymbol{V}=\mathbf{5} \boldsymbol{c m} \) and \( \boldsymbol{B} \boldsymbol{V}=\mathbf{1 1} \boldsymbol{c m} \)
The relation between diag. \( A N \) and
diag. \( \boldsymbol{B} \boldsymbol{V} \) is
A. \( A N>B V \)
B. \( A N<B V \)
c. \( A N=B V \)
D. None of the above
Subject: Physics
In the figure \( A B C \) is the cross section of
a right angled prism and BCDE is the
cross section of a glass slab. The value
of \( \theta \) so that light incident normally on
the face \( A B \) does not cross the face \( B C \)
is \( \left(\text { given } \sin ^{-1}(3 / 5)=37^{\circ}\right) \)
A \( \cdot \theta \leq 37^{\circ} \)
В \( \cdot \theta>37^{\circ} \)
\( \mathbf{c} \cdot \theta \leq 53^{\circ} \)
D. \( \theta<53^{\circ} \)
Subject: Chemistry
Which of the following statements is
not true?
A. The ratio of the mean speed of the RMS speed is independent of the temperature
B. The square of the mean speed of the molecules is equal to the mean square speed at a certain temperature
C. Mean kinetic energy of the gas-molecules at any given temperature is independent of the mean speed
D. The difference between RMS speed and mean speed at any temperature for different diminishes as larger and yet larger molar masses are considered
Subject: Physics
The displacement-time graph of a
particle executing SHM is shown in the
figure. Then
This question has multiple correct options
A. the velocity is maximum at \( t=T / 2 \)
B. the acceleration is maximum at \( t=T \)
C. the force is zero at \( t=3 T / 4 \)
D. the potential energy equals the oscillation at t=T/2
Subject: Physics
Assertion
When current through a bulb decreases by \( 0.5 \%, \) the glow of bulb decreases by
\( 1 \% \)
Reason
Glow (Power) which is directly proportional to square of current.
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
Let \( \boldsymbol{A}=\{\boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z}\}, \boldsymbol{B}=\{\boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}\} \) and \( \boldsymbol{f} \)
\( A \rightarrow B \) be defined by \( f(x)=a, f(y)= \)
\( \boldsymbol{b}, \boldsymbol{f}(\boldsymbol{z})=\boldsymbol{c} . \) This function is
A. surjective but not injective
B. injective but not surjective
c. bijective
D. none of these
Subject: Chemistry
The products of the hydrolysis of \( \mathbf{P C l}_{3} \)
are :
A \( . \) HCl, \( \mathrm{H}_{3} \mathrm{PO}_{4} \)
в. \( \mathrm{HCl}, \mathrm{H}_{3} \mathrm{PO}_{3} \)
c. \( \mathrm{Cl}_{2}, \mathrm{H}_{3} \mathrm{PO}_{3} \)
D. HCl, POCls, H \( _{3} \mathrm{PO}_{4} \)
Subject: Chemistry
One gram of charcoal adsorbs \( 100 m L \)
of \( 0.5 M C H_{3} C O O H \) to form a
monolayer and thereby the molarity of acetic acid is reduced to \( 0.49 M \)
Calculate the surface area of the
charcoal adsorbed by each molecule of acetic acid. Surface area of charcoal \( = \)
\( 3.01 \times 10^{2} m^{2} / g m \)
Subject: Chemistry
Give the IUPAC name of the given
compounds:
\[
\begin{array}{c}
\mathrm{CH}_{3} \\
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{3} \\
\\
\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}_{3} \\
\mathrm{CH}_{3}
\end{array}
\]
Subject: Chemistry
5 mol of liquid water is compressed
from 1 bar to 10 bar at constant
temperature. Change in Gibb's energy \( (\Delta G) \) in Joule is: (Density of water \( = \)
\( \left.1000 k g / m^{3}\right) \)
A . 18
B. 225
\( c \cdot 450 \)
D. 900
Subject: Maths
A hemispherical bowl of radius unity is
filled up with water upto the depth \( \frac{1}{2} \)
The volume of water in the bowl is
A \( \cdot \frac{27 \pi}{24} \)
в. \( \frac{5 \pi}{24} \)
c. \( \frac{3 \pi}{4} \)
D. None of these
Subject: Physics
With what speed should a bus travel so that it can cover a distance of \( 10 \mathrm{km} \) in 5
\( \min ? \)
\( A \cdot 60 \mathrm{km} / \mathrm{hr} \)
B. 10 km/hr
c. \( 12 \mathrm{km} / \mathrm{hr} \)
D. 120 km/hr
Subject: Physics
Assertion
Total current entering a circuit is equal
to leaving the circuit by Kirchhoff's law.
Reason
It is based on conservation of energy.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Physics
A solenoid \( 30 c m \) long is made by
winding 2000 loops of wire on an iron
rod whose cross-section is \( 1.5 \mathrm{cm}^{2} \). If
the relative permeability of the iron is \( 6000, \) what is the self-inductance of the
solenoid?
\( \mathbf{A} \cdot 15 H \)
в. \( 2.5 H \)
\( c .3 .5 H \)
D. \( 0.5 H \)
Subject: Physics
A system is pushed by a force \( \boldsymbol{F} \) as
shown in figure. All surfaces are smooth except between \( B \) and \( C . \) Friction
coefficient between \( B \) and \( C \) is \( \mu \)
Minimum value of \( \boldsymbol{F} \) to prevent block \( \boldsymbol{B} \)
from down ward slipping is
Subject: Chemistry
Aluminothermy used for the spot
welding of large iron structures is
based upon the fact that:
This question has multiple correct options
A. As compared to iron, aluminium has greater affinity for oxygen.
B. As compared to aluminium, iron has greater affinity for oxygen.
C. Reaction between aluminium and oxygen is endothermic.
D. Reaction between iron oxide and aluminium is
exothermic.
Subject: Physics
If the frequency or revolution of the electron in first Bohr orbit of a H-atom
is \( 6.6 \times 10^{15} \mathrm{Hz} \), the frequency in the
next orbit is
A \( \cdot 13.2 \times 10^{15} \) Н 2
В. \( 43.50 \times 10^{30} \) Нz
c. \( 0.8 \times 10^{15} \) Н \( z \)
D. \( 1.65 \times 10^{15} \) Н \( z \)
Subject: Physics
A charged cloud system produces an
electric field in the air near the earths
surface.A particle of charge \( -2 \times 10^{-9} \mathrm{C} \) is
acted on by a downward electrostatic
force \( 3 \times 10^{-6} N \) of when placed in the
field,The gravitational and electrostatic
force,Respectively,exerted on a proton
placed in this field are
A \( .1 .64 \times 10^{-26} \mathrm{N}, 2.4 \times 10^{-16} \mathrm{N} \)
B . \( 1.64 \times 10^{-26} \mathrm{N}, 1.5 \times 10^{3} \mathrm{N} \)
C \( .1 .56 \times 10^{-18} \mathrm{N}, 2.4 \times 10^{-16} \mathrm{N} \)
D. \( 1.5 \times 10^{3} \mathrm{N}, 2.5 \times 10^{-16} \mathrm{N} \)
Subject: Physics
In an isolated parallel plate capacitor of
capacitance \( C, \) the four surfaces have
charges \( Q_{1}, Q_{2}, Q_{3} \) and \( Q_{4} \) as shown.
The potential difference between the
plates is:
\( A \)
в. \( \frac{Q_{2}+Q_{3}}{2 C} \)
c. \( \frac{Q_{2}-Q_{3}}{2 C} \)
D. \( \frac{Q_{1}+Q_{4}}{2 C} \)
Subject: Chemistry
Among:
\( \boldsymbol{a}) \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{O} \)
b) \( M g O \)
\( \boldsymbol{c}) \boldsymbol{A l}_{2} \boldsymbol{O}_{3} \)
\( \boldsymbol{d}) \boldsymbol{P}_{2} \boldsymbol{O}_{5} \)
the most basic, most acidic and amphoteric oxide can be
\( A \cdot a, b, c \)
в. b, е,
\( c . \) a, \( e, c \)
D. e,c,
Subject: Chemistry
To \( 500 m L \) of \( 0.150 M A g N O_{3} \) solution
were added \( 500 m L \) of \( 1.09 M F e^{2+} \)
solution and the reaction is allowed to
reach an equilibrium at 25
\[
\begin{array}{r}
\boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{a} \boldsymbol{q}) \rightleftharpoons \\
\boldsymbol{F} \boldsymbol{e}^{3+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})
\end{array}
\]
For \( 25 m L \) of the solution, \( 30 m L \) of
\( 0.0832 M K M n O_{4} \) were required for
oxidation. The equilibrium constant for
the reaction at \( 25^{\circ} \mathrm{C} \) is
Subject: Physics
A body of mass \( 1 / 4 \mathrm{kg} \) is in S.H.M and its displacement is given by the relation \( \boldsymbol{y}=\mathbf{0 . 0 5 \operatorname { s i n }}\left(\mathbf{2 0 t}+\frac{\boldsymbol{\pi}}{\mathbf{2}}\right) \mathrm{m} . \) If \( \boldsymbol{t} \) is in
seconds, the maximum force acting on the particle is:
A . 5 N
B. 2.5 N
c. 10 N
D. 0.25 N
Subject: Chemistry
Which are the species in which central
atom undergoes \( s p^{3} \) hybridization?
This question has multiple correct options
\( \mathbf{A} \cdot S F_{4} \)
в. \( S C l_{2} \)
\( \mathbf{c} \cdot S O_{4}^{2-} \)
D. \( H_{2} O \)