AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A small mass slides down an inclined
plane of inclination \( \boldsymbol{\theta} \) with the horizontal. The co-efficient of friction is
\( \mu=\mu x \) where \( x \) is the distance
through which the mass slides down
and \( \mu \) a constant. Then the speed is
maximum after the masscovers a
distance of:
A \( \cdot \frac{\cos \theta}{\mu_{0}} \)
B. \( \frac{\sin \theta}{\mu_{0}} \)
\( c \cdot \frac{\tan \theta}{\mu_{0}} \)
D. \( \frac{2 \tan \theta}{\mu_{0}} \)
Subject: Physics
Whenever a hydrogen atom emits a
photon in the Balmer series, This question has multiple correct options
A. it may emit another photon in the Balmer series.
B. it must emit another photon in the Lyman series.
C. the second photon, it emitted, will have a wavelength of about \( 122 \mathrm{nm} \)
D. it may emit a second photon, but the wavelength of this photon cannot be predicted.
Subject: Physics
A scooterist sees a bus \( 1 k m \) ahead of
him moving with a velocity of \( 10 m s^{-1} \)
With what speed the scooterist should
move so as to overtake the bus in \( 100 s ? \)
A \( \cdot 10 m s^{-1} \)
B. \( 20 m s^{-1} \)
\( \mathrm{c} \cdot 50 \mathrm{ms}^{-1} \)
D. \( 30 m s^{-1} \)
Subject: Maths
Let \( G \) be the centroid of \( \triangle A B C \). If \( A B=\vec{a} \) and \( \overrightarrow{A C}=\vec{b}, \) then \( \overrightarrow{A G}, \) in
terms of \( \vec{a} \) and \( \vec{b} \) is
A \( \cdot \frac{2}{3}(\vec{a}+\vec{b}) \)
в. \( \frac{1}{6}(\vec{a}+\vec{b}) \)
c. \( \frac{1}{3}(\vec{a}+\vec{b}) \)
D. \( \frac{1}{2}(\vec{a}+\vec{b}) \)
Subject: Chemistry
For which cell e.m.f. is independent of
the concentrations of electrolytes used?
\( \mathbf{A} \cdot F e|F e O(s)| K O H(a q)|N i O(s)| N i_{2} O_{3}(s) \mid N i \)
\( \mathbf{B} \cdot P t\left(H_{2}\right)|H C l| P t\left(C l_{2}\right) \)
\( \mathbf{c} \cdot Z n\left|Z n\left(N O_{3}\right)_{2}\right|\left|C u S O_{4}\right| C u \)
D. \( H g, H g C l_{2}\left|K C l \| A g N O_{3}\right| A g \)
Subject: Physics
Assertion
Mutual inductance of a pair of coils depend on their separation as well as their relative orientation.
Reason
Mutual inductance depend upon the
length of the coil only.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
In a AC circuit the voltage and current are described by \( V= \) \( 200 \sin \left(319 t-\frac{\pi}{6}\right) v o l t s \) and \( i= \)
\( \mathbf{5 0} \sin \left(\mathbf{3 1 4 t}+\frac{\boldsymbol{\pi}}{\mathbf{6}}\right) \boldsymbol{m} \boldsymbol{A} \) respectively. The
average power dissipated in the circuit
is
A. 2.5 watts
B. 5.0 watts
c. 10.0 watts
D. 50.0 watts
Subject: Chemistry
Calorific value of \( \boldsymbol{H}_{2} \) gas is \( \mathbf{x} \) kJ \( / \mathrm{g} \) m.
What is heat of formation of \( \boldsymbol{H}_{2} \boldsymbol{O} \) ?
\( A . x k J \)
B. \( 2 x k J \)
c. \( x / 2 k J \)
D. \( 18 x k J \)
Subject: Chemistry
The solubility product of \( A g_{2} C r O_{4} \) is
\( 1.9 X 10^{-12} . \) The volume of water in \( \mathrm{mL} \)
that can dissolve \( 4 \mathrm{mg} \) of \( A g_{2} C r O_{4} \) is
about:
A . \( 150 \mathrm{mL} \)
B. 1000 mL
\( c . \) 250 \( \mathrm{mL} \)
D. 500 mL
Subject: Maths
The diagram, given below, shows two paths drawn inside a rectangular field \( 80 \mathrm{m} \) long and \( 45 \mathrm{m} \) wide. The widths of
the two paths are \( 8 \mathrm{m} \) and \( 15 \mathrm{m} \) as shown. Find the area of the shaded portion
Subject: Physics
In a transformer the output current and
voltage are \( 4 \mathrm{A} \) and \( 20 \mathrm{V} \) respectively. If the ratio of number of turns in the
primary and secondary coil is 2: 1 respectively, what is the input current and voltage ?
\( A \cdot 2 A \) and 40
B. 1 A and 20
c. 4 A and \( 10 v \)
D. 8 A and 40 v
Subject: Physics
The capacitance \( C_{A B} \) in the given network
is:
\( \mathbf{A} \cdot 7 \mu F \)
B. \( \frac{50}{7} \mu F \)
\( \mathbf{c} .7 .5 \mu F \)
D. \( \frac{7}{50} \mu F \)
Subject: Chemistry
Assertion \( P h N_{2} B r^{\ominus} \) on reaction with \( N a O H \)
gives benzene diazohydroxide.
Reason
\( \theta \)
\( O H \) is a strong nucleophile, attacks the terminal \( \mathrm{N} \) atom, and forms a covalent
bond.
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
Which of the following statements is/are correct ?
a) The magnitude of the vector \( \hat{\mathbf{i}}+4 \hat{\mathbf{j}} \) is
5
b) Force \( (3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}) \mathrm{N} \) acting on a particle causes a displacement 6jิm. The work done by the force is 30
c) If \( \vec{A} \) and \( \vec{B} \) represent two adjacent sides of a parallelogram, then \( |\overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}| \) gives the perimeter of that parallelogram
d) A force has magnitude 20N. Its component in a direction making an angle \( 60^{0} \) with the force is \( 10 \sqrt{3} \mathrm{N} \)
A . a \& b are correct
B. a \& c are correct
c. a \( \& \mathrm{d} \) are correct
D. all are wrong
Subject: Maths
\( \operatorname{Let} \boldsymbol{I}= \)
\( \left.\int_{3 n \pi}^{\left(n+\frac{1}{n}\right) 3 \pi} \frac{\mathbf{4} \boldsymbol{x} \boldsymbol{d} \boldsymbol{x}}{\left[\left(\boldsymbol{a}^{2}+\boldsymbol{b}^{2}\right)+\left(\boldsymbol{a}^{2}-\boldsymbol{b}^{2}\right) \cos \frac{2 n \boldsymbol{x}}{3}\right.}\right] \)
(where \( \mathbf{a}, \mathbf{b}>\mathbf{0}) \)
prove that \( \boldsymbol{I}=\frac{\mathbf{9}\left(\mathbf{2} \boldsymbol{n}^{2}+\mathbf{1}\right) \boldsymbol{\pi}}{\boldsymbol{n}^{2}} \frac{\boldsymbol{a}^{2}-\boldsymbol{b}^{2}}{\boldsymbol{a}^{3} \boldsymbol{b}^{3}} \)
Subject: Chemistry
\( 56 g \) of \( N_{2} \) and \( 6 g \) of \( H_{2} \) were kept at
\( 400^{\circ} \mathrm{C} \) in 1 litre vessel. The equilibrium
mixture contained \( 27.54 g \) of \( N H_{3} . \) The
approximate value fro \( K_{c} \) for the above reaction in \( m o l^{2} l i t^{2} \) is:
A . 12
B. 20
\( c .30 \)
D. 40
Subject: Physics
An average emf of \( 20 \mathrm{V} \) is induced in an
inductor when the current in it is
changed from \( 2.5 A \) in one direction to the same value in the opposite direction in 0.1 s. The self-inuctance of
the inductor is
A . zero
в. \( 0.2 H \)
\( c .0 .4 H \)
D. \( 1 H \)
Subject: Physics
The current in an AC circuit is
represented by \( i=5 \sin \left(300 t-\frac{\pi}{4}\right) \)
where, t is in seconds and current is in amperes. Then, the frequency of AC is
\( A \cdot 50 \mathrm{Hz} \)
B. 47.75 Hz
\( c \cdot 30 \) Нz
D. 25 Hz
Subject: Chemistry
Planck constant has the dimension of :
\( \mathbf{A} \cdot M^{-1} L^{2} T^{-1} \)
B. \( M L^{-2} T^{-1} \)
\( \mathbf{c} \cdot M L^{2} T^{-1} \)
D. \( C M L^{3} T^{-1} \)
Subject: Maths
If \( \boldsymbol{A}=\left(\boldsymbol{a}_{\boldsymbol{i} j}\right)_{\mathbf{2} \times \mathbf{2}}, \) where \( \boldsymbol{a}_{\boldsymbol{i} j}=\boldsymbol{i}+\boldsymbol{j}, \) then
\( A \) is equal to:
A. \( \left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right] \)
B. \( \left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{ll}2 & 3 \\ 3 & 4\end{array}\right] \)
D. \( \left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right] \)
Subject: Chemistry
Following reaction is used to remove temporary hardness which is due to
dissolved bicarbonates of \( C a^{2+} \) and
\( M g^{2+} \)
\( \boldsymbol{C a}\left(\boldsymbol{H} \boldsymbol{C O}_{3}\right)_{2}+\boldsymbol{C a}(\boldsymbol{O H})_{2} \rightarrow \)
\( 2 C a C O_{3} \downarrow+2 H_{2} O \)
Actually lime ( \( C a O \) ) is added which in
\( H_{2} O \) forms \( C a(O H)_{2} \) and precipitates
\( \boldsymbol{C a} \boldsymbol{C O}_{3} \boldsymbol{C a O}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C a}(\boldsymbol{O H})_{2} \)
If \( 10 \mathrm{L} \) of hard water requires \( 0.56 \mathrm{g} \) of Ca 0 , temporary hardness of \( C a C O_{3} \) is
\( x \times 10^{2} \) ppm. Find \( x \)
Subject: Physics
The net resistance of the circuit at
resonance is
\( ^{A} \cdot \frac{\mathrm{L}}{\mathrm{CR}} \)
в. \( R \)
\( c \cdot \frac{\mathrm{CR}^{3}}{\mathrm{L}} \)
D \( \frac{\mathrm{L}^{2}}{\mathrm{C}^{2} \mathrm{R}^{3}} \)
Subject: Maths
n figure, sides QP and RQ of \( \Delta P Q R \) are
produced to points \( \mathrm{S} \) and \( \mathrm{T} \) respectively
If \( \angle S P R=135^{\circ} \) and \( \angle P Q T=110^{\circ} \)
find \( \angle P R Q \)
4.85
3.65
\( c \cdot 45 \)
0.35
Subject: Physics
If a ball is projected with a velocity equal to \( 1 / 4 \) th of the escape velocity from the surface of the earth. the height it will attain is \( _{-} \).
Radius of Earth]
A \( \cdot \frac{R}{4} \)
в. \( \frac{R}{32} \)
c. \( 4 R \)
D. \( \frac{R}{16} \)
Subject: Chemistry
The conclusion of Rutherford from his \( \alpha \)
-ray scattering experiment is:
A. many particles were deflected from their path, indicating that the positive charge of the atom occupies very small space.
B. many particles were deflected from their path, indicating that the positive charge of the atom occupies very large space.
C. most of the space inside the atom is empty because most of the \( \alpha \) -particles passed through the gold foil without getting deflected.
D. a very large fraction of alpha-particles were deflected by \( 180^{\circ} \), indicating that all the positive charges and mass of the gold atom were concentrated in a very small volume within the atom
Subject: Biology
We eat food, which is composed of all
the nutrients like carbohydrates, proteins, fats, vitamins, minerals and water. After digestion, these are absorbed in the form of glucose, amino acids, fatty acids, glycerol etc. What mechanisms are involved in absorption of digested food and water?
A. Diffusion and osmosis respectively
B. Osmosis and diffusion respectively
c. Reverse osmosis and facilitated diffusion respectively
D. None of the above
Subject: Chemistry
By the reduction of \( H N O_{3} \) to \( N O_{2} \) the number of electrons involved per mole
of \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) is
\( A \cdot 8 \)
B. 6
\( c \cdot 3 \)
D. 4
Subject: Maths
Prove the following:
\[
\left|\begin{array}{ccc}
\boldsymbol{a}^{2} & \boldsymbol{b} \boldsymbol{c} & \boldsymbol{a} \boldsymbol{c}+\boldsymbol{c}^{2} \\
\boldsymbol{a}^{2}+\boldsymbol{a} \boldsymbol{b} & \boldsymbol{b}^{2} & \boldsymbol{a} \boldsymbol{c} \\
\boldsymbol{a b} & \boldsymbol{b}^{2}+\boldsymbol{b} \boldsymbol{c} & \boldsymbol{c}^{2}
\end{array}\right|=\boldsymbol{4} \boldsymbol{a}^{2} \boldsymbol{b}^{2} \boldsymbol{c}^{2}
\]
Subject: Chemistry
The ease of esterification of following alcohols with HCOOH will be highest for \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \quad\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H O H} \)
\( \left(\begin{array}{c}\left.\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O H} \\ \mathbf{3}\end{array}\right. \)
Subject: Physics
If the light from star \( A \) takes 15 min to
reach star \( \boldsymbol{B} \) and the speed of light is \( 3 \times 10^{8} m / s, \) then what is the distance
between the stars?
A \( .2 .7 \times 10^{8} k m \)
В . \( 2,9 \times 10^{11} k m \)
c. \( 2.7 \times 10^{8} m \)
D. \( 36 \times 10^{9} k m \)
Subject: Physics
Two cars are moving on perpendicular
roads. When ear- 1 sounds a horn of
frequency \( n, \) then the apparent
frequency of sound heard by car-2 is is velocity of sound)
A \( \cdot n\left[\frac{V_{1}+V_{2}}{V_{1}-V_{2}}\right. \)
B. \( n\left[\frac{V_{1}+V_{2} \cos \theta_{2}}{V_{1}-V_{2} \cos \theta_{1}}\right. \)
C \( \cdot n\left[\frac{V \cos \theta_{2}}{V_{1} \cos \theta_{1}}\right] \)
D. \( n\left[\frac{V+2 v_{0} \cos \theta_{1}}{V-2 V_{1} \cos \theta_{2}}\right. \)
Subject: Physics
The electric field intensity at a point \( \boldsymbol{P} \)
due to point charge \( q \) kept at point \( Q \) is
\( 24 N C^{-1} \) and the electric potential at
point is \( 12 J C^{-1} . \) The order of
magnitude of charge \( q \) is
A \( \cdot 10^{-6} C \)
B. \( 10^{-7} C \)
\( \mathbf{c} \cdot 10^{-10} C \)
D. \( 10^{-9} C \)
Subject: Physics
A cell can be balanced against \( 110 \mathrm{cm} \)
and \( 100 \mathrm{cm} \) of potentiometer wire, respectively with and without being short circuited through a resistance of
\( 10 \Omega \) Its internal resistance is
A. 2.0 ohm
B. zero
c. 1.0 ohm
D. 0.5 ohm
Subject: Physics
Find the horizontal velocity of the
particle when it reach the point \( Q \) Assume the block to the frictionless.
take \( \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \)
A \( \cdot v=3.13 \frac{m}{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( \sqrt{g} \mathrm{m} / \mathrm{s} \)
D. \( 3.6 \mathrm{m} / \mathrm{s} \)
Subject: Maths
The solution of the equation
\( z(z-2 i)=2(2+i) \) are
A. \( 3+i, 3-i \)
B. \( 1+3 i, 1-3 i \)
c. \( 1+3 i, 1-i \)
D. \( 1-3 i, 1+i \)
Subject: Maths
What is the value of the sum
\( \sum_{n=2}^{11}\left(i^{n}+i^{n+1}\right) \) where \( i=\sqrt{-1} ? \)
\( \mathbf{A} \cdot i \)
в. \( 2 i \)
c. \( -2 i \)
D. \( 1+i \)
Subject: Physics
Two capacitors \( C_{1} \) and \( C_{2} \) are
connected in parallel. Assume that
\( C_{1}<C_{2} . \) The equivalent capacitance of
this arrangement is \( C, \) where
A. \( C<C_{1} / 2 \)
в. \( C_{1}<C<C_{1} \)
c. \( C_{1}<C<C_{2} \)
D. \( C_{2}<C<2 C_{2} \)
Subject: Chemistry
The rate of reaction is doubled for every
\( 10^{\circ} \mathrm{C} \) rise in temperature. The increase
in rate as result of increase in
temperature from \( 10^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \) is:
A . 112
B. 512
\( c \cdot 400 \)
D. 256
Subject: Chemistry
\( 0.40 g \) of an organic compound \( (A) \)
(Molecular formula \( C_{5} H_{8} O \) ) reacts
with \( x \) mole of \( C H_{3} M g B r \) to liberate
\( 224 m L \) of a gas at STP.With excess of
\( \boldsymbol{H}_{2},(\boldsymbol{A}) \) gives pentan-1-ol. The correct structure of \( (A) \) is:
A \( \cdot C H_{3}-C \equiv C-C H_{2}-C H_{2}-O H \)
в. \( C H_{3}-C H_{2}-C \equiv C-C H_{2}-O H \)
c. \( H-C \equiv C-C H_{2}-C H_{2}-C H_{2}-O H \)
D. \( H-C \equiv C-C H_{2}-C H-C H_{3} \)
扎
Subject: Chemistry
Assertion
The presence of nitro group facilitates nucleophilic substitution reaction in aryl halide
Reason
The intermediate carboniun is
stablised due to the presence of the nitro group.
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 are correct
Subject: Maths
Which one of the following is best condition for the plane \( a x+b y+c z+ \)
\( d=0 \) to intersect the \( x \) and \( y \) axes at
equal angle
A \( \cdot|a|=|b| \)
\( b \mid \)
B . \( a=-b \)
c. \( a=b \)
D. \( a^{2}+b^{2}=1 \)
Subject: Maths
Find the continued products:
\( (\mathbf{i})(\boldsymbol{x}+\mathbf{2})(\boldsymbol{x}-\mathbf{2})\left(\boldsymbol{x}^{\mathbf{2}}-\mathbf{4}\right) \)
(ii) \( (a x+b)(a x-b)\left(a^{2} x^{2}+b^{2}\right) \)
Subject: Chemistry
The glycosidic linkage involved in linking the glucose units in amylose part of starch is:
A \( \cdot C_{1}-C_{4} \beta- \) linkage
в. \( C_{1}-C_{6} \alpha- \) linkage
c. \( C_{1}-C_{6} \beta- \) linkage
D. \( C_{1}-C_{4} \alpha- \) linkage
Subject: Chemistry
Assertion
\( \Delta_{o} \) increases in the order of
\( \left[\boldsymbol{C r} \boldsymbol{C l}_{\boldsymbol{6}}\right]^{\boldsymbol{3}-}<\left[\boldsymbol{C r}(\boldsymbol{C N})_{\boldsymbol{6}}\right]^{\boldsymbol{3}-}< \)
\( \left[\boldsymbol{C r}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right]^{3-} \)
Reason
The stronger the ligand field, the higher
will be \( \Delta_{o} \) value.
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
C. The Assertion is correct but the Reason is incorrect
D. The Assertion is incorrect but the Reason is correct
Subject: Chemistry
Determine uncertainty in the position of an electron moving with a velocity 300
\( \mathrm{m} \cdot \mathrm{sec}^{-1} \) accurate up to \( 0.001 \% \)
\( \left[h=6.63 \times 10^{-34} \mathrm{J} . \mathrm{s} \) and mass of \right.
electron \( =9.1 \times 10^{-31} \mathrm{kg} \)
A \( \cdot 1.92 \times 10^{-2} \mathrm{m} \)
в. \( 1.5 \times 10^{-2} \mathrm{m} \)
C. \( 2.5 \times 10^{-2} m \)
D. \( 2.5 \times 10^{-3} \mathrm{m} \)
Subject: Physics
A swimmer can swim in still water with
speed \( v \) and the river is flowing with speed \( v / 2 . \) What is the ratio of the time
taken to swimming across the river in the shortest time to that of
swimming across the river over the shortest distance?
\( A \cdot \frac{\sqrt{3}}{2} \)
B.
\( c \cdot 2 \)
D. \( \sqrt{3} v \)
Subject: Chemistry
Chemical reactions of the type \( \boldsymbol{X} \stackrel{\boldsymbol{k}_{1}}{\rightarrow} \)
\( \boldsymbol{Y} \stackrel{\boldsymbol{k}_{2}}{\rightarrow} \boldsymbol{Z} \) are called:
A. consecutive reactions
B. parallel reactions
c. reversible reactions
D. chain reactions
Subject: Physics
The displacement of a particle undergoing \( S H M \) of time period \( T \) is
given by \( \boldsymbol{x}(\boldsymbol{t})=\boldsymbol{x}_{\boldsymbol{m}} \cos (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{\phi}) . \) The
particle is at \( \boldsymbol{x}=-\boldsymbol{x}_{m} \) at time \( \boldsymbol{t}=\mathbf{0} \)
The particle is at \( \boldsymbol{x}=+\boldsymbol{x}_{\boldsymbol{m}} \) when
\( \mathbf{A} \cdot t=0.25 T \)
в. \( t=0.50 T \)
c. \( t=0.75 T \)
D. \( t=1.00 T \)
Subject: Physics
Two small spheres of masses \( 10 \mathrm{kg} \) and \( 30 \mathrm{kg} \) are joined by a rod of length \( 0.5 \mathrm{m} \) and of negligible mass. The M.I. of the system about a normal axis through centre of mass of the system is
A \( \cdot 1.875 \mathrm{kgm}^{2} \)
B. 2.45 \( k g m^{2} \)
c. \( 0.75 \mathrm{kgm}^{2} \)
D. \( 1.75 \mathrm{kgm}^{2} \)
Subject: Physics
A body of volume \( V \) and density \( \rho \) is raised through height \( h, \) in a liquid of density \( \sigma(\sigma<\rho) . \) The increment in
potential energy of the body is (Given acceleration due to gravity \( =g \) ):
A. \( V \rho g h \)
в. V\( \sigma g h \)
c. \( V(\rho+\sigma) g h \)
D. \( V(\rho-\sigma) g h \)
Subject: Physics
If \( E_{p} \) and \( E_{s} \) are the input and output voltages of a transformer, then:
(where \( n_{p} \) is the number of turns in
primary and \( n_{s} \) is the number of turns in secondary
A \( \cdot \frac{E_{s}}{E_{p}}=\frac{n_{p}}{n_{s}} \)
B . \( E_{s} E_{p}=n_{s} n_{p} \)
c. \( E_{s} n_{p}=E_{p} n_{s} \)
D. None of these
Subject: Maths
The polynomials \( \left(2 x^{3}-5 x^{2}+x+a\right) \)
and \( \left(a x^{3}+2 x^{3}-3\right) \) when divided by
\( (x-2) \) leave the remainders \( R_{1} \) and \( R_{2} \)
respectively. Find the value of \( ^{\prime} a^{\prime} \) in the
following case, if
\( \boldsymbol{R}_{1}-\boldsymbol{2} \boldsymbol{R}_{2}=\mathbf{0} \)
Subject: Physics
Calculate the energy associated with the following nuclear reaction:
\[
\begin{array}{cc}
\begin{array}{c}
27 A l \\
26.9815 a m u
\end{array}+\underbrace{2}_{2.0141 a m u}^{2} H \\
_{12}^{25} M g & _{2}^{4} H e \\
24.9858 a m u^{+} 4.0026 a m u &
\end{array}
\]
Subject: Chemistry
Assertion
Compound shown in image is named as tetrakis (ethylenediamine) \( \mu \)
\( -h y d r o x o-\mu \) -imido dicobalt(III) ion.
Reason

In naming polynuclear complexes i.e. containing two or more metal atoms joined by bridging ligands, the word \( \mu \) is
added with hyphen before the name of
such ligands.
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
An optician, while testing the eyes of a patient, keeps a chart of letters \( 3 \mathrm{m} \)
behind the patient and asks her to see the letters on the image of chart formed
in a plane mirror kept at distance \( 2 \mathrm{m} \) in front of her. How far away is the chart seen by the patient?
A. 3 m
B. 2 m
\( c \cdot 6 m \)
D. \( 7 \mathrm{m} \)
Subject: Physics
toppr LOGIN JolN Now
Q Type your question
What happens to the charge on the
plates, the voltage across the plates,
and the capacitance of the capacitor as
a result of moving the plates closer
together?
\( A \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor } & Values after Plates are Moved Closer Together \\
\hline Charges on Plates & same \\
Voltage Across Plates Capacitance & larger larger \\
\hline
\end{tabular}
B. \begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor } & Values after Plates are Moved Closer Together \\
\hline Charges on Plates & same \\
Voltage Across Plates & smaller \\
Capacitance & larger \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor } & Values after Plates are Moved Closer Together \\
\hline Charges on Plates & larger \\
Voltage Across Plates Capacitance & same same \\
\hline
\end{tabular}
D. \begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor } & Values after Plates are Moved Closer Together \\
\hline Charges on Plates & larger \\
Voltage Across Plates & same \\
Capacitance & larger \\
\hline
\end{tabular}
E \begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor } & Values after Plates are Moved Closer Together \\
\hline Charges on Plates & larger \\
Voltage Across Plates Capacitance & larger larger \\
\hline
\end{tabular}
Subject: Physics
Match the following and find the correct
pairs:
List List II
(a) Fleming's
(e) Direction of induced current left hand rule
(b) Right hand
(f) Magnitude and direction of thumb rule \( \quad \) magnetic induction
(c) Biot-Savart
(g) Direction of force due to law \( \quad \) magnetic induction
(d) Fleming's
(h) Direction of magnetic lines right hand rule due to current
\( A \cdot a-g, b-e, c-f, d-h \)
B. \( a-g, b-h, c-f, d-e \)
\( \mathbf{C} \cdot a-f, b-h, c-g, d-e \)
D. a-h, b-g, c-e, d-f
Subject: Chemistry
Three oxides of nitrogen, \( N O, N O_{2} \) and
\( N_{2} O, \) can be formed under different
conditions.
\( N O_{2} \) can be formed by different
chemical reactions.
Write equation for the formation of \( N O_{2} \)
by:
the reaction of \( N_{2} \) with \( O_{2} \)
the thermal decomposition of magnesium nitrate.
Subject: Maths
If \( u=\tan ^{-1}\left(\frac{x^{2}+y^{2}}{x+y}\right), \) then \( x \frac{d u}{d x}+ \)
\( \boldsymbol{y} \frac{\boldsymbol{d} \boldsymbol{u}}{\boldsymbol{d} \boldsymbol{y}}= \)
\( \mathbf{A} \cdot \sin 2 u \)
B. \( \frac{1}{2} \sin 2 u \)
c. \( \frac{1}{3} \sin 2 u \)
D. \( 2 \sin 2 u \)
Subject: Chemistry
Select the correct group(s) of reagent(s)
used in the following conversions:
A \( \cdot I \Rightarrow d i l . H N O_{3}, I I \Rightarrow N a_{2} C r_{2} O_{7} / H_{2} S O_{4}, I I I \Rightarrow \)
\( K M n O_{4} / N a O H, I V \Rightarrow P b O_{4} / O^{\ominus} H, H_{3} O \oplus \)
B . \( I \Rightarrow \operatorname{dilH} N O_{3}, I I \Rightarrow K M n O_{4} / H^{\oplus}, I I I \Rightarrow \)
\( K M n O_{4} / N a O H, I V \Rightarrow T s C l+ \)acidicKMnO\( _{4}+H_{2} O \)
C \( \cdot I \Rightarrow K M n O_{4} / N a O H, I I \Rightarrow N a_{2} C r_{2} O_{7} / H^{\oplus}, I I I \Rightarrow \)
\( K M n O_{4} / O^{\ominus} H, I V \Rightarrow d i l . H N O_{3} \)
D. \( I \Rightarrow C r O_{3} / M e C O O H, I I \Rightarrow K M n O_{4} / O^{\ominus} H, I I I \Rightarrow \)
\( K M n O_{4} / H^{\oplus}, I V \Rightarrow d i l . H N O_{3} \)