AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
Galvanized iron does not rust.
Reason
Zn has a more negative electrode
potential than Fe.
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: Physics
Light from two coherent sources of the same amplitude \( A \) and wavelength \( \lambda \) illuminates the screen. The intensity of
the central maximum is \( I_{0} . \) If the
sources were incoherent, the intensity at the same point will be.
A . \( 4 I_{0} \)
в. \( 1 I_{0} \)
c. \( I_{0} \)
D. \( \frac{I_{0}}{2} \)
Subject: Biology
Assertion
Integrated pest management programme involves harmonious
application of various 'cuture controls'
to insure minimum environmental
pollution and proper maintenance of ecological balance.
Reason
Integrated pest management programme is an important step taken by Government of India.
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
Light with energy flux of \( 24 W m^{-2} \) is incident on a well polished disc of radius \( 3.5 \mathrm{cm} \) for one hour. The
momentum transferred to the disc is
A \( \cdot 1.1 \mu \mathrm{kgms}^{-1} \)
B. 2.2 \( \mu \mathrm{kgms}^{-1} \)
c. \( 3.3 \mu \mathrm{kgms}^{-1} \)
D. \( 4.4 \mu \mathrm{kgms}^{-1} \)
Subject: Chemistry
Match the column
\( \begin{array}{lll}\text { A) Cryalite } & \text { P) } \mathrm{CazB}_{6} \mathrm{O}_{12} \mathrm{SH}_{2} \mathrm{O} \\ \text { B) Calemanite } & \mathrm{Q}) \mathrm{Al}_{2} \mathrm{O}_{3} 2 \mathrm{H}_{2} \mathrm{O} \\ \text { C) Bauxite } & \mathrm{R}) \mathrm{Na}_{3} \mathrm{AlF}_{6} \\ \text { D)Sidente } & \mathrm{S}) \mathrm{FeCO}_{3} \\ & \text { T) } \mathrm{Na}_{2} \mathrm{B}_{4} \mathrm{O}_{7} 1 \mathrm{OH}_{2} \mathrm{O}\end{array} \)
Subject: Physics
A top of mass \( m=1.0 \mathrm{kg} \) and
moment of inertia relative to its own
axis \( I=4.0 g m^{2} \) spins with an angular
velocity \( \omega=310 \) rad/s. Its point of rest
is located on a block which is shifted in
a horizontal direction with a constant
acceleration \( \boldsymbol{w}=\mathbf{1 . 0} \boldsymbol{m} / \boldsymbol{s}^{2} . \) The
distance between the point of rest and the centre of inertia of the top equals
\( l=10 \mathrm{cm} . \) If the angular velocity of
precession \( \omega^{\prime} \) is \( x \) find the value of \( 10 x \)
Subject: Chemistry
Assertion
\( \mathrm{E}^{0} \) value of single electrode is determined experimentally by combining the electrode with SHE
Reason
SHE is taken as a reference electrode
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: Physics
A thin ring has mass \( 0.25 \mathrm{kg} \) and radius
\( 0.5 m . \) Its moment of inertia about an
axis passing through its centre and perpendicular to its plane is
A \( \cdot 0.0625 \mathrm{kgm}^{2} \)
B. \( 0.625 \mathrm{kgm}^{2} \)
c. \( 6.25 \mathrm{kgm}^{2} \)
D. \( 62.5 \mathrm{kgm}^{2} \)
Subject: Maths
Let \( \bar{a}, \bar{b}, \bar{c} \) be vectors of length 3,4,5
respectively. Let \( \bar{a} \) be perpendicular to \( \bar{b}+\bar{c}, \bar{b} \) is perpendicular to \( \bar{c}+\bar{a} \& \bar{c} \) is
perpendicular to \( \bar{a}+\bar{b} \). Then \( |\bar{a}+\bar{b}+\bar{c}| \)
is:
A \( .2 \sqrt{5} \)
B. \( 2 \sqrt{2} \)
c. \( 10 \sqrt{5} \)
D. \( 5 \sqrt{2} \)
Subject: Physics
Find the refractive index of glass with respect to water. The refractive indices of these with respect to air are \( 3 / 2 \) and \( 4 / 3 \) respectively
A \( .2 / 1 \)
в. \( 1 / 2 \)
c. \( 9 / 8 \)
D. \( 8 / 9 \)
Subject: Chemistry
Which among the following is/are
correct about the orientation of atomic
orbitals in space?
This question has multiple correct options
A. \( s \) -orbitals has single orientation
B. \( d \) -subshell orbitals have three orientations along \( x, y \) and \( z \) directions
C . \( f \) -subshell have seven orientations in their orbitals
D. None of the above
Subject: Maths
If the line \( p x-q y=r \) intersects the co
ordinate axes at \( (a, 0) \) and \( (0, b), \) then
value of atb is equal to
A \( \cdot_{r}\left(\frac{q+p}{q p}\right) \)
В \( \cdot_{r}\left(\frac{q-p}{p q}\right) \)
c. \( _{r}\left(\frac{p-q}{p q}\right) \)
D. \( r\left(\frac{p+q}{p-q}\right) \)
E \( \cdot r\left(\frac{p-q}{p+q}\right) \)
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be a function defined by
\( f(x)=\frac{x^{2}-8}{x^{2}+2} . \) Then, \( f \) is
A. one-one but not onto
B. one-one and onto
c. onto but not one-one
D. neither one-one nor onto
Subject: Maths
The value of the series \( \frac{1}{3 !}+\frac{2}{5 !}+\frac{3}{7 !}+ \)
to \( \infty \) is equal to
A \( \cdot \frac{1}{2} e \)
в. \( \frac{1}{2 e} \)
\( c \cdot \frac{3}{2 e} \)
D. \( \frac{4}{5 e} \)
Subject: Physics
A ball of \( 0.5 k g \) collided with wall at \( 30^{\circ} \) and bounced back elastically. The speed of ball was \( 12 m / s . \) The contract
remained for 1 sec. What is the force
applied by wall on ball:
A \( \cdot 12 \sqrt{3} N \)
N \( \sqrt{3} \sqrt{3} \)
в. \( 6 \sqrt{3} N \)
c. \( 3 \sqrt{3} N \)
D. \( \sqrt{3} N \)
Subject: Maths
Simplify:
Find \( \boldsymbol{x}(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}+\mathbf{2})(\boldsymbol{x}+\boldsymbol{3}) \div \boldsymbol{x}(\boldsymbol{x}+\mathbf{1}) \)
A \( \cdot(x+2)(x+3) \)
B. \( x+2 \)
c. \( x+3 \)
D. None of these
Subject: Maths
For what values of \( a \) is the sum of the
squares of the numbers consulting the solution of the system of equations
\( \mathbf{3} \boldsymbol{x}-\boldsymbol{y}=\mathbf{2}-\boldsymbol{a}, \boldsymbol{x}+\mathbf{2} \boldsymbol{y}=\boldsymbol{a}+\mathbf{1} \) the
least?
Subject: Physics
Needles \( N_{1}, N_{2} \) and \( N_{3} \) are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A
magnet when brought close to them will?
A. Attract all three of them
B. Attract \( N_{1} \) strongly, \( N_{2} \) weakly and repel \( N_{3} \) weakly
C. Attract \( N_{1} \) strongly but repel \( N_{2} \) and \( N_{3} \) weakly
D. Attract \( N_{1} \) and \( N_{2} \) strongly but repel \( N_{3} \)
Subject: Maths
The cartesian equation of the plane \( \overline{\boldsymbol{r}}=(\mathbf{1}+\boldsymbol{s}-\boldsymbol{t}) \hat{\boldsymbol{i}}+(\boldsymbol{2}-\boldsymbol{s}) \hat{\boldsymbol{j}}+ \)
\( (3-2 s+2 t) \hat{k} \)
A. \( 2 x-y=5 \)
B. \( 2 x+z=5 \)
c. \( 2 x+y=5 \)
D. \( 2 x-z=5 \)
Subject: Maths
If \( \vec{a} \) and \( \vec{b} \) are the vectors determined by
two adjacent sides of regular hexagon, then vector \( \boldsymbol{E} \boldsymbol{F} \) is
A \( \cdot(\vec{a}+\vec{b}) \)
B . \( (\vec{a}-\vec{b}) \)
\( c \cdot 2 \vec{a} \vec{a} \vec{a} \)
\( D \cdot 2 \vec{b} \)
Subject: Maths
There are 3 bags each containing 5
white balls and 2 black balls and 2 bags each containing 1 white balls and 4 black balls, a black ball having been drawn, find the chance that it came from the first group.
A \( \cdot \frac{28}{43} \)
в. \( \frac{15}{43} \)
c. \( \frac{15}{28} \)
D. \( \frac{13}{28} \)
Subject: Physics
Two coils \( A \) and \( B \) are separated by a certain distance. If a current of \( 4 \mathrm{A} \)
flows through \( A, \) a magnetic flux of \( 10^{-3} \)
Wh passes through B (no current through B).If no current passes through A and a current of 2 A passes through \( B \), then the flux through \( A \) is then
A \( .5 \times 10^{-3} \)
B . \( 4 \times 10^{-4} \)
c. \( 5 \times 10^{-4} \)
D. \( 2 \times 10^{-3} \)
Subject: Chemistry
Assertion
As temperature increases, heat of
reaction also increases for exothermic
as well as for endothermic reactions.
Because
Reason
\( \Delta \mathrm{H} \) varies with temperature as given by
\( \Delta H_{2}\left(a t T_{2}\right)=\Delta H_{1}\left(a t T_{1}\right)+ \)
\( \Delta C_{P}\left(T_{2}-T_{1}\right) \)
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 rigid body can be hinged about any point in the \( x \) -axis. When it is hinged
such that the hinge is at \( x, \) the moment
of inertia is given by \( \boldsymbol{I}=\mathbf{2} \boldsymbol{x}^{2}-\mathbf{1} \mathbf{2} \boldsymbol{x}+ \)
\( \mathbf{2 7} \) the \( \mathbf{x} \) -coordinate of centre of mass is:
A \( . x=2 \)
B. \( x=0 \)
c. \( x=1 \)
D. \( x=3 \)
Subject: Physics
Two particles of masses \( m_{1}, m_{2} \) movie
with initial velocities \( u_{1} \) and \( u_{2} . \) On
collision, one of the particles get excited to higher level, after absorbing energy If final velocities of particles be
\( v_{1} \) and \( v_{2} \) then we must have :
A \( \cdot \frac{1}{2} m_{1} u_{1}^{2}+\frac{1}{2} m_{2} u_{2}^{2}=\frac{1}{2} m_{1} v_{1}^{2}+\frac{1}{2} m_{2} v_{2}^{2}-\varepsilon \)
B. \( \frac{1}{2} m_{1} u_{1}^{2}+\frac{1}{2} m_{2} u_{2}^{2}+\varepsilon=\frac{1}{2} m_{1} v_{1}^{2}+\frac{1}{2} m_{2} v_{2}^{2} \)
c. \( \frac{1}{2} m_{1}^{2} u_{1}^{2}+\frac{1}{2} m_{2}^{2} u_{2}^{2}-\varepsilon=\frac{1}{2} m_{1}^{2} v_{1}^{2}+\frac{1}{2} m_{2}^{2} v_{2}^{2} \)
D. \( m_{1}^{2} u_{1}+m_{2}^{2} u_{2}-\varepsilon=m_{1}^{2} v_{1}+m_{2}^{2} v_{2} \)
Subject: Physics
The angle of the prism is \( 30^{\circ} . \) The rays
incident at \( 60^{\circ} \) at one refracting face
suffer a deviation of \( 30^{\circ} . \) Then, the angle
of emergence is :
A \( \cdot 0^{\circ} \)
B. \( 30^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Physics
\( _{1}^{2} \boldsymbol{H}+_{1}^{3} \boldsymbol{H} \rightarrow_{0}^{1} \boldsymbol{n}+\mathbf{X} \)
The product \( X \) in the nuclear reaction
represented is.
A \( \cdot \frac{1}{1} H \)
в. \( _{2}^{3} \mathrm{He} \)
\( \mathrm{c} \cdot_{2}^{4} \mathrm{He} \)
D. \( \frac{4}{3} L i \)
\( E \cdot_{3}^{5} L i \)
Subject: Chemistry
The standard emf for the cell reaction
\( Z n+C u^{2+} \longrightarrow Z n^{2+} C u 1.10 \) volt at
\( 25 C . \) The emf for the cell reaction when \( 0.1 M C u^{2+} \) and \( 0.1 M Z n^{2+} \) solutions
are used at \( 25 C \) is:
A . 1.10 volt
B. 0.110 volt
c. 1.70 volt
D. 0.225 volt
Subject: Chemistry
toppr
Q Type your question
and chemical processes are measured with an instrument called Calorimeter.
Heat change in the process is calculated as :
\( \boldsymbol{q}=\boldsymbol{m} \boldsymbol{s} \boldsymbol{\Delta} \boldsymbol{T}_{\ldots} \ldots . . \boldsymbol{s}=\boldsymbol{s} \boldsymbol{p} e c i f i c \quad \boldsymbol{h} e a \boldsymbol{t} \)
\( =c \Delta T_{\ldots \ldots . . c}=h e a t \quad \) capacity
Heat of reaction at constant volume is
measured using bomb Calorimeter.
\( \boldsymbol{q}_{V}=\boldsymbol{\Delta} \boldsymbol{U}= \) internal energy change
Heat of reaction at constant pressure is measured using bomb Calorimeter.
\( \boldsymbol{q}_{\boldsymbol{P}}=\boldsymbol{\Delta} \boldsymbol{H} \)
\( \boldsymbol{q}_{\boldsymbol{P}}=\boldsymbol{q}_{\boldsymbol{V}}+\boldsymbol{P} \boldsymbol{\Delta} \boldsymbol{V} \)
\( \boldsymbol{\Delta} \boldsymbol{H}=\boldsymbol{\Delta} \boldsymbol{U}+\boldsymbol{\Delta} \boldsymbol{n} \boldsymbol{R} \boldsymbol{T} \)
The heat capacity of a bomb calorimeter is \( 500 J K^{-1} . \) When \( 0.1 g \) of
Methane was burnt in this calorimeter,
the temperature rose by \( 2^{\circ} \mathrm{C} \). The value
of \( \Delta U \) per mole will be :
в. \( +260 k J \)
\( c .-2 k J \)
D. \( +2 k J \)
Subject: Physics
Two neutral conducting spheres are next to each other and touching each
other, They are also each separated from the table with an insulating stand.
Then, a negatively charged rod is brought near, but not touching, sphere
A. The two spheres are then separated
by touching only their insulating base Finally, the charged rod is removed. What are the charges of sphere \( A \) and
sphere B?
A. Sphere A is positive while sphere B is negative
B. Sphere A is negative while sphere B is positive
c. Both spheres are positively charged.
D. Both spheres are negatively charged
Subject: Physics
The length and breadth of a metal sheet are \( 3.124 m \) and \( 3.002 m \) respectively.
The area of this sheet upto four correct
significant figure is :
A \( .9 .378 \mathrm{m}^{2} \)
В. \( 9.37 m^{2} \)
c. \( 9.378248 \mathrm{m}^{2} \)
D. \( 9.3782 \mathrm{m}^{2} \)
Subject: Biology
toppr 'OGIN
Q Type your question
A, D, , anu
A. A-Fructose-6-phosphate; B-Fructose-1,6-biphosphate;
C- 3-PGAL; D-1,3-biphosphoglyceric acid
B. A- Fructose -1,6-biphosphate ; B- 3-PGAL ; C-1,3biphosphoglyceric acid ; D-3 PGAL
C. A- 3PGAL; B-1,3 biophosphoglyceric acid ; C-3PGAL; Dse-1,6-biphosphate
D \( \quad \) uctose -1,6 -biophosphate ; B-Fructose - \( 6- \) phosphate ; C-PGAL ; D-1,3- biphosphoglyceric acid
Subject: Maths
\( \int \frac{d x}{x\left(x^{2}+1\right)^{2}}= \)
A. \( \ln \frac{|x|}{\sqrt{x^{2}+1}}+\frac{1}{2\left(x^{2}+1\right)}+K \)
B. \( \ln \frac{|x|}{\sqrt{x^{2}+1}}-\frac{3}{2\left(x^{2}+1\right)}+K \)
C. \( -\ln \frac{|x|}{\sqrt{x^{2}+1}}+\frac{3}{2\left(x^{2}+1\right)}+K \)
D. \( -\ln \frac{|x|}{\sqrt{x^{2}+1}}+\frac{3}{2(x+1)}+K \)
Subject: Maths
Q Type your question
orgamisıng nis graduated cymnaers In the hopes of keeping his office tidy and setting a good example for his students. He has beakers with diameters, in inches, of \( \frac{1}{2}, \frac{3}{4}, \frac{4}{5}, 1 \) and \( \frac{5}{4} . \) With his original five cylinders, professor Buckingham realises that he is missing a cylinder necessary for his upcoming lab demonstration for Thursday's class. He remembers that the cylinder he needs when added to the original five, will create a median diameter value of
for the set of six total cylinders. He
\( \overline{\mathbf{1 0}} \)
also knows that the measure of the
sixth cylinder will exceed the value of the range of the current five cylinders by a width of anywhere from \( \frac{1}{4} \) inches to \( \frac{1}{2} \) inches, inclusive. Based on the data, what is one possible value of \( y \), the diameter of this missing sixth cylinder?
A \( .1 \leq y \leq 1.25 \)
в. \( 2 \leq y \leq 2.25 \)
c. \( 3 \leq y \leq 3.25 \)
D. \( 4 \leq y \leq 4.25 \)
Subject: Physics
A beaker contains 40 g of water at \( 20^{\circ} \mathrm{C} \) Now 50 g of ice is put into the beaker. The resulting temperature will be
\( \mathbf{A} \cdot-7^{\circ} C \)
B . \( 0^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 10^{\circ} \mathrm{C} \)
D. \( 1.5^{\circ} \mathrm{C} \)
Subject: Chemistry
Which of the following reactions can take place in the reverberatory furnace?
A. \( z n 0+c \rightarrow z n+c 0 \)
B. \( 2 \mathrm{Cu}_{2} \mathrm{S}+3 \mathrm{O}_{2} \rightarrow 2 \mathrm{Cu}_{2} \mathrm{O}+2 \mathrm{SO}_{2} \)
\( \mathrm{c} \cdot \mathrm{HgS}+\mathrm{O}_{2} \rightarrow \mathrm{Hg}+\mathrm{SO}_{2} \)
D. \( \mathrm{PbCO}_{3} \rightarrow \mathrm{PbO}+\mathrm{CO}_{2} \)
Subject: Physics
The height up to which water will rise in a capillary tube will be
A. Minimum when water temperature is \( 4^{\circ} \mathrm{C} \)
B. Maximum when water temperature is \( 4^{\circ} \mathrm{C} \)
c. Maximum when water temperature is \( 0^{\circ} \mathrm{C} \)
D. Minimum when water temperature is \( 0^{\circ} \mathrm{C} \)
Subject: Physics
The dimensions of self inductance are
\( \mathbf{A} \cdot\left[M L T^{-2} A^{-2}\right] \)
В \( \cdot\left[M L^{2} T^{-1} A^{-2}\right] \)
\( \mathbf{c} \cdot\left[M L^{2} T^{-2} A^{-2}\right] \)
D \( \cdot\left[M L^{2} T^{-1} A^{-1}\right] \)
Subject: Physics
Subtract \( 3.2 \times 10^{-6} \) from \( 4.7 \times 10^{-4} \)
with due regard to significant figures.
В. \( 7 \times 10^{-4} \)
c. \( 5.7 \times 10^{-4} \)
D. \( 4.7 \times 10^{-5} \)
Subject: Maths
f \( \boldsymbol{y}=\log \sin \boldsymbol{x}+\boldsymbol{e}^{\boldsymbol{x}} \tan \boldsymbol{x}, \) then find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
Subject: Maths
\( \int \frac{\cos ^{2} x}{1+\tan x} d x \)
A \( \cdot \frac{1}{4} \ln (\cos -\sin x)+\frac{x}{2}+\frac{1}{8}(\sin 2 x-\cos 2 x) \)
B. \( \frac{1}{4} \ln (\cos +\sin x)+\frac{x}{2}+\frac{1}{8}(\sin 2 x+\cos 2 x) \)
C \( \frac{1}{4} \ln (\cos +\sin x)+\frac{x}{2}+\frac{1}{8}(\sin 2 x-\cos 2 x) \)
\( \frac{1}{4} \ln (\cos -\sin x)+\frac{x}{2}+\frac{1}{8}(\sin 2 x+\cos 2 x) \)
Subject: Maths
If \( a, b, c \) are sides of the \( \triangle A B C \) such
that
\( \left(1+\frac{b-c}{a}\right)^{a} \cdot\left(1+\frac{c-a}{b}\right)^{b} \)
\( \left(1+\frac{a-b}{c}\right)^{c} \geq 1, \) then triangle \( \triangle A B C \)
must be
A. right angled
B. isosceles
c. obtuse
D. equilateral
Subject: Physics
The output \( (X) \) of the logic circuit shown
in the figure will be
\( \mathbf{A} \cdot X=\bar{A} . \bar{B} \)
В . \( X=\overline{A . B} \)
\( \mathbf{c} . X=A . B \)
D. \( X=\overline{A+B} \)
Subject: Maths
If \( f(x)=x^{2}-3 x-\frac{3}{x}+\frac{1}{x^{2}}, \) then
\( f\left(\frac{1}{x}\right) \) is
\( A \)
в. \( f(x) \)
c. \( f(-x) \)
D . \( -f(x) \)
Subject: Maths
The D.E of the family of parabolas with vertex at (0,-1) and having axis along the y axis is
A. \( x y^{1}-2 y-2=0 \)
В. \( x y^{1}+y+1=0 \)
c. \( x y^{1}-y-1=0 \)
D. \( x y^{1}+2 x y+1=0 \)
Subject: Chemistry
Keeping the pressure constant, the volume of a given mass of any gas increases or decreases by \( \frac{1}{273} \) of its
volume at \( \boldsymbol{O}^{\circ} \boldsymbol{C} \) for each \( \mathbf{1}^{\circ} \) rise in
temperature. This law is known as:
A. Boyle's law
B. Charles's law
c. Gay-lussac's law
D. None of the above
Subject: Chemistry
Assertion
To protect iron from rusting it is coated
with a thin layer of zinc.
Reason
The zinc forms a barrier against
corrosion in that the steel underneath
does not come into contact with water
moisture in the 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. Both Assertion and Reason are incorrect
Subject: Maths
Circule of unit radius is in a rectangle of length and \( 10 \pi \mathrm{m} \) width \( 2 \pi \) metres.
The area of the remaining portion
except the circle is:
A \( \cdot\left(\frac{39}{2} \pi\right) m^{2} \)
В \( \cdot\left(\frac{77}{4} \pi\right) m^{2} \)
\( \mathbf{c} \cdot\left(\frac{35}{2} \pi\right) m^{2} \)
D. \( (19 \pi) m^{2} \)
Subject: Physics
A body is suspended from a spring balance kept in a satellite. The reading
of the balance is \( W_{1}, \) when the satellite
goes in an orbit of radius \( \boldsymbol{R} \) and is \( \boldsymbol{W}_{2} \)
when it goes in an orbit of radius \( 2 R \)
A. \( W_{1}=W_{2} \)
в. \( W_{1}<W_{2} \)
c. \( W_{1}>W_{2} \)
D. \( W_{1} \neq W_{2} \)
Subject: Physics
The displacement of charge \( q \) in the electric field \( \overrightarrow{\boldsymbol{E}}=\boldsymbol{e}_{1} \hat{\boldsymbol{i}}+\boldsymbol{e}_{2} \hat{\boldsymbol{j}}+\boldsymbol{e}_{3} \hat{\boldsymbol{j}} \) is \( \overrightarrow{\boldsymbol{r}}= \)
\( a \hat{i}+b \hat{j} . \) The work done is
A \( \cdot Q\left(e_{1}+e_{2}\right) \sqrt{a^{2}+b^{2}} \)
в. \( Q(a+b) \sqrt{e_{1}^{2}+e_{2}^{2}} \)
c. \( Q\left(a e_{1}+b e_{2}\right) \)
D. \( Q \sqrt{\left(a e_{1}\right)^{2}+\left(b e_{2}\right)^{2}} \)
Subject: Chemistry
The weight of the silver (atomic number: 108 ) displaced by a quantity of electricity which displaces \( 5600 \mathrm{ml} \) of
\( O_{2} \) at \( S T P \) will be:
A. \( 10.8 g \)
в. \( 50.0 g \)
c. \( 108.0 g \)
D. \( 5.4 g \)
Subject: Maths
\( \int x e^{2 x}(1+x) d x \) equal to
A \( \cdot \frac{x e^{x}}{2}+c \)
B \( \cdot \frac{\left(e^{x}\right)^{2}}{2} r \)
c. \( \frac{(1+x)^{2}}{2}+c \)
D. \( \frac{\left(x e^{x}\right)^{2}}{2} \)
Subject: Physics
A thin hollow sphere of mass \( m \) is
completely filled with an ideal liquid of
mass \( m . \) When sphere rolls with a
velocity \( v, \) kinetic energy of the system is equal to:
A \( \cdot m v^{2} / 2 \)
B. \( m v^{2} \)
C. \( 4 m v^{2} / 3 \)
D. \( 4 \mathrm{mv}^{2} / 5 \)
Subject: Physics
Study the following.List-I List-I
a) \( \vec{P} . \vec{Q} \quad \) I)pseudo vector
b) \( \vec{P} \times \vec{Q} \)
II) undefined
c) \( \overrightarrow{\mathbf{P}} \cdot(\overrightarrow{\mathbf{Q}} \cdot \overrightarrow{\boldsymbol{R}}) \)
III) A Scalar
d) \( \vec{P} \times(\vec{Q} \times \vec{R}) \)
IV) A vector
The correct match is:
A . A-IV B-III C-I D-II
B. A-II B-I C-III D-IV
c. A-III B-IV C-II D-I
D. A-I B-II C-IV D-III
Subject: Physics
An element \( z M^{A} \) emits one \( \alpha \) (alpha) particle followed by two \( \beta \) (beta)
particles. Among the following, the daughter element is :
A \( \cdot z-2 M^{A-4} \)
B . \( _{z-2} M^{A} \)
\( \mathbf{c} \cdot_{z} M^{A-4} \)
D. \( _{z+2} M^{A-4} \)
Subject: Physics
The potential of outer shell is
\( A \cdot \frac{q}{32 \pi \epsilon 0^{a}} \)
B. \( \frac{q}{16 \pi \epsilon a} \)
\( c \cdot \frac{q}{8 \pi \cos ^{a}} \)
\( D \cdot \frac{q}{4 \pi \varepsilon a a} \)
Subject: Maths
Assertion (A): The maximum area of the
rectangle inscribed in a circle of radius 5 units is 50 square units Reason
(R): The maximum area of the
rectangle inscribed in a circle is a
square
A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of A
c. A is true and \( \mathrm{R} \) is false
D. A is false and R is true
Subject: Chemistry
Universal indicator shows yellow colour
when added to a solution at \( 25^{0} C . \) If its
concentration is changed such that the same indicator shows red colour, then
identify the correct statement.
A. The solution is diluted to 100 times
B. The solution is concentrated by 100 times
c. The solution is concentrated 10,000 times
D. The solution is concentrated 1,00,000 times
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{1}+\sqrt{\boldsymbol{x}}, \boldsymbol{x}>0, \) then \( \boldsymbol{f}(\boldsymbol{x}) \)
\( f^{\prime}(x) \) is equal to
A \( \cdot \frac{1}{2 \sqrt{x}} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{4 \sqrt{x}} \)
D. \( \frac{2 \sqrt{x}+1}{4 \sqrt{x}} \)
Subject: Physics
The volume of a cube in \( m^{3} \) is equal to
the surface area of the cube. The volume
of the cube is:
\( \mathbf{A} \cdot 64 m^{3} \)
B. 216 \( m^{3} \)
c. \( 512 \mathrm{m}^{3} \)
D. 196 \( m^{3} \)
Subject: Physics
The pressure exerted by the weight of a
cubical block of a side \( 3 \mathrm{cm} \) on the
surface is \( 5 P a . \) The force acting on the
surface \( \boldsymbol{p} \times \mathbf{1 0}^{-4} \boldsymbol{N} \) then \( \mathrm{p}= \)
Subject: Physics
In a full-wave rectifier, the output is
taken across a load resistor of 800 ohm. If the resistance of diode in the forward
biased condition is 200 ohm, the efficiency of rectification of ac
power into dc power is(in percentage)
A . \( 64.96 \% \)
B . \( 40.6 \% \)
c. \( 81.2 \% \)
D. \( 80 \% \)
Subject: Chemistry
Assertion
Low frequency waves are transmitted
via ground waves.
Reason
When a wave has high wavelength, it undergoes more diffraction.
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 and Reason is correct
Subject: Physics
In Young's double slit experiment, when
wavelength used is \( 6000 A \) and the
screen is \( 40 \mathrm{cm} \) from the slits, the
fringes \( 0.012 \mathrm{cm} \) wide. What is the distance between the slits?
A \( .0 .24 \mathrm{cm} \)
B. \( 0.2 \mathrm{cm} \)
\( \mathrm{c} \cdot 2.4 \mathrm{cm} \)
D. \( 0.024 \mathrm{cm} \)
Subject: Maths
Origin is the centre of circle passing through the vertices of an equilateral triangle whose median is of length \( 3 a \)
then equation of the circle is?
A \( \cdot x^{2}+y^{2}=a^{2} \)
B . \( x^{2}+y^{2}=2 a^{2} \)
c. \( x^{2}+y^{2}=3 a^{2} \)
D. \( x^{2}+y^{2}+4 a^{2} \)