AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The pole strength of \( 12 \mathrm{cm} \) long bar magnet is 20 A m having Magnetic moment \( 20 \times 0.12 A m^{2} \). The magnetic
induction at a point \( 10 \mathrm{cm} \) away from the centre of the magnet on its axial line is \( \left[\frac{\mu_{0}}{4 \pi}=10^{-7} H m^{-1}\right] \)
A \( \cdot 1.17 \times 10^{-3} \mathrm{T} \)
В . \( 2.20 \times 10^{-3} \mathrm{T} \)
c. \( 1.17 \times 10^{-2} \mathrm{T} \)
D. 2.20 \( \times 10^{-2} \) न
Subject: Maths
Let \( f(x)=x^{2}-3 x+4, \) then the value
of \( \boldsymbol{x} \) which satisfies \( \boldsymbol{f}(\mathbf{1})+\boldsymbol{f}(\boldsymbol{x})= \)
\( \boldsymbol{f}(\mathbf{1}) \boldsymbol{f}(\boldsymbol{x}) \) is
A .
B.
c. 1 or 2
D. 1 and 0
Subject: Biology
Which of these is correctly matched with the accompanying description?
A. Pancreas - Delta cells of islets of Langerhans secrete a hormone which stimulates glycolysis in liver
B. Thyroid - Hyperactivity in young children causes cretinism
C. Thymus - Starts undergoing atrophy after puberty
D. Parathyroid - Secretes parathormone that promotes movement of \( C a^{2+} \) ions from blood into bones during
calcification
Subject: Maths
Which of the following points are the vertices of an equilateral triangle?
A \( \cdot(a, a),(-a,-a),(2 a, a) \)
В \( \cdot(a, a),(-a,-a),(-a \sqrt{3}, a \sqrt{3}) \)
c. \( (\sqrt{2} a,-a),(a, \sqrt{2} a),(a,-a) \)
D. \( (0,0),(a,-a),(a, \sqrt{2} a) \)
Subject: Physics
A dip needle shows angle of dip \( \tan ^{-1}\left(\frac{2}{\sqrt{3}}\right) \) in a vertical plane which is
at an angle of \( 60^{0} \) with the magnetic meridian. The real dip at the place is
then
A \( \cdot 0^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 30^{0} \)
D. \( 90^{\circ} \)
Subject: Maths
Let \( S_{n} \) denote the sum of first \( n \) terms of
an \( A P \) and \( 3 S_{n}=S_{2 n} . \) What is \( S_{3 n}: S_{n} \)
equal to?
A . 4: 1
B. 6: 1
c. 8: 1
D. 10: 1
Subject: Chemistry
Choose the incorrect statement.
\( \mathbf{A} \cdot B e C O_{3} \) is kept in the atmosphere of \( C O_{2}, \) since it is least thermally stable.
B. \( B e \) dissolves in alkali forming \( \left[B e(O H)_{4}\right]^{2-} \)
C \( . B e F_{2} \) forms complex ion with \( N a F \) in which \( B e \) goes with cation.
D. \( B e F_{2} \) forms complex ion with \( N a F \) in which \( B e \) goes
with anion.
Subject: Chemistry
Lattice energy of alkali metal chlorides is in order:
\( \boldsymbol{L i C l}>\boldsymbol{N a C l}>\boldsymbol{K C l}>\boldsymbol{R b C l}> \)
\( \boldsymbol{C} \boldsymbol{s} \boldsymbol{C l} \)
Answer whether the above statement is
true or false.
If true enter 1 , else enter 0 .
Subject: Chemistry
In Reimer-Tiemann reaction, reactants
are:
A. phenol, \( C H C l_{3} \) and alkal
B. phenol, \( C C l_{4} \) and alkali
c. aniline, \( C H C l_{3} \) and alkal
D. both Phenol, \( C H C l_{3} \) and alkali and phenol, \( C C l_{4} \) and alkal
Subject: Physics
A bird is sitting on train A moving towards East with a velocity \( 300 \mathrm{km} / \mathrm{hr} \) Another train B of same speed is
moving in West direction on the same track. When the trains are \( 6 \mathrm{km} \) apart,
the bird starts flying with a velocity 30 km/hr with respect to ground towards B After touching \( \mathrm{B} \), it returns back to \( \mathrm{A} \) and continue repeating this process until the trains collide. In this process,
the total distance traveled by the bird
is:
A. \( 100 \mathrm{m} \)
B. 200 \( m \)
\( c . \) 300 \( m \)
\( D .6 \mathrm{km} \)
Subject: Maths
If \( 0, \alpha, \beta<\frac{\pi}{4} \) such that \( \cos (\alpha+\beta)=\frac{4}{5} \)
andsin \( (\alpha-\beta)=\frac{5}{13}, \) then the value of
\( \tan 2 \alpha= \)
A. \( \frac{56}{65} \)
в. \( \frac{56}{23} \)
c. \( \frac{56}{33} \)
D. \( \frac{56}{36} \)
Subject: Chemistry
The hydride ion \( H^{-} \) is stronger base
than its hydroxide ion \( O H^{-} . \) Which of the following reaction will occur if sodium hydride is dissolved in water?
A \( \cdot H_{(a q)}^{-}+H_{2} O \rightarrow H_{3} O^{+} \)
B. \( H_{(a q)}^{-}+H_{2} O \rightarrow O H^{-}+H_{2} \)
c. \( H^{-}+H_{2} O \rightarrow H_{2}+O_{2} \)
D. \( H^{-}+H_{2} O \rightarrow \) No reaction
Subject: Physics
If a magnet is dropped through a vertical hollow copper tube, then?
A. The time taken to reach the ground is longer than the time taken, if the tube was made out of plastic
B. The magnet will get attracted and stick to the copper tube
C. The time taken to reach the ground is longer than the time taken, if the tube was made out of stainless steel
D. The time taken to reach the ground does not depend on the radius of the copper tube
E. The magnet will be repelled away by the tube
Subject: Chemistry
Magnetic moment of \( x^{n+} \) is \( \sqrt{24} \) B.M.
Hence No. of unpaired electron and
value of ' \( n \) ' respectively. (Atomic number \( =26) \)
\( A \cdot 4,3 \)
B. 3, 5
\( c \cdot 4,2 \)
\( D \cdot 4, \)
Subject: Physics
If \( C_{p} \) and \( C_{v} \) are the molar specific
heats of a gas at constant pressure and volume respectively then the ratio of
adiabatic and isothermal modulii of
elasticity will be
A. \( \frac{C_{p}-C_{v}}{C_{p}} \)
B. \( C_{p} C_{v} \)
c. \( \frac{C_{v}}{C_{p}} \)
D. \( \frac{C_{p}}{C_{v}} \)
Subject: Maths
There are 6 red, 6 brown, 6 yellow, and 6 gray scarves packaged in 24 identical, unmarked boxes, 1 scarf per box. What
is the least number of boxes that must
be selected in order to be sure that
among the boxes selected 3 or more contain scarves of the same color?
A . 3
B. 6
\( c .7 \)
D.
\( E \)
Subject: Biology
Assertion
In Chlorophyceae, plant body is usually
grass green
Reason
Members of Chlorophyceae, possess chlorophyll a, c, carotenoids and
xanthophyll.
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
Which statement is correct for alkaline
earth
metals?
A. They are diatomic and form ions of the type \( M^{2} \)
B. They are highly electronegative elements
c. They are monoatomic in vapour state and form
ions of the type \( M^{2+} \)
D. They are diatomic and form ions of the type \( M^{2+} \)
Subject: Chemistry
When aqueous solution of potassium fluoride is added to the blue coloured
aqueous \( \boldsymbol{C u} \boldsymbol{S O}_{4} \) solution, a green precipitate is formed. This observation can be explained as follows:
A. on adding \( K F, H_{2} O \) being weak field ligand is replaced by \( F^{-} \) ions forming \( \left[C u F_{4}\right]^{2-} \) which is green in colour.
B. potassium is coordinated to \( \left[C u\left(H_{2} O\right)_{4}\right]^{2+} \) ion present in \( C u S O_{4} \) and gives green colour
C. on adding \( K F, C u^{2+} \) are replaced by \( K^{+} \) forming a green complex.
D. blur colour of \( C u S O_{4} \) and yellow colour of \( K \) f form green colour on mixing
Subject: Physics
Given that \( \overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}}=\overrightarrow{\boldsymbol{C}} \). If \( |\overrightarrow{\boldsymbol{A}}|=4,|\overrightarrow{\boldsymbol{B}}|= \)
\( \mathbf{5} \) and \( |\overrightarrow{\boldsymbol{C}}|=\sqrt{\mathbf{6 1}}, \) the angle between \( \boldsymbol{A} \)
and \( B \) is
A \( .30^{\circ} \)
B. \( 60^{\circ} \)
\( c .90^{\circ} \)
D. \( 120^{\circ} \)
Subject: Physics
Find the binding energy of a body of
mass \( 50 \mathrm{kg} \) at rest on the surface of the
earth.
\( \operatorname{given} G=6.67 \times 10^{-11} N m^{2} / k g^{2} \)
\( \boldsymbol{R}=\mathbf{6 4 0 0 k m}, \boldsymbol{M}=\mathbf{6} \times \mathbf{1 0}^{\mathbf{2 4}} \boldsymbol{k g} \)
Subject: Physics
A block of mass \( m \) moving at a speed \( v \) collides with another block of mass \( 3 m \)
at rest. If the light block comes to rest after collision, the coefficient of restitution is :
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{6} \)
\( c \cdot \frac{1}{2} \)
D.
Subject: Chemistry
The molar conductivities of \( \boldsymbol{K} \boldsymbol{C} \boldsymbol{I} \)
\( N a C l \) and \( K N O_{3} \) are 152,128 and
\( 111 S c m^{2} m o l^{-1} \) respectively. What is
the molar conductivity of \( N a N O_{3} ? \)
A \( \cdot 101 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
B. \( 87 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
c. \( -101 S \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
D. \( -391 S \mathrm{cm}^{2} \mathrm{mol}^{-} \)
Subject: Chemistry
The atomic number of chlorine is \( 17 . \) Its
electronic configuration is:
A . \( \mathrm{K}, \mathrm{L}, \mathrm{M} \)
2,10,5
B. K, L, M
2, 8,
c. к, L, м
7,8,2
D. K, L, M
5,10,2
Subject: Chemistry
Balanced equation for the reaction of conc. sulphuric acid with Sucrose is \( 2 C_{12} H_{22} O_{11}+H_{2} S O_{4}(\text { conc }) \rightarrow \)
\( 12 C+5 H_{2} O+H_{2} S O_{4}(d i l) \)
A. True
B. False
Subject: Maths
The twentieth term of the GP \( \frac{5}{2}, \frac{5}{4}, \frac{5}{8}, \dots \) is
A \( \cdot \frac{5}{2^{19}} \)
в. \( \frac{5}{2^{20}} \)
c. \( \frac{5}{2^{10}} \)
D. \( \frac{5}{10^{11}} \)
Subject: Maths
If for all \( x, y \) the function \( f \) is defined by
\( \boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(\boldsymbol{y})+\boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{f}(\boldsymbol{y})=1 \) and
\( \boldsymbol{f}(\boldsymbol{x})>0 . \) When \( \boldsymbol{f}(\boldsymbol{x}) \) is differentiable
\( \boldsymbol{f}^{\prime}(\boldsymbol{x})= \)
A . -1
B. 1
\( c .0 \)
D. cannot be determined
Subject: Maths
If the equation \( a x^{2}+2 b x+c=0 \) has
real roots, \( a, b, c \) being real numbers
and if \( m \) and \( n \) are real number such
that \( m^{2}>n>0 \) then show that the
equation \( a x^{2}+2 m b x+n c=0 \) has
real roots.
Subject: Maths
Let \( X \) be the solution set of the equation \( \boldsymbol{A}^{x}=\boldsymbol{I}, \) where \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{- 1} \\ \mathbf{4} & \mathbf{- 3} & \mathbf{4} \\ \mathbf{3} & \mathbf{- 3} & \mathbf{4}\end{array}\right] \) and
is the corresponding unit matrix and
\( \boldsymbol{x} \subseteq \boldsymbol{N}, \) then the minimum value of
\( \sum\left(\cos ^{x} \theta+\sin ^{x} \theta\right), \theta \in R \)
Subject: Physics
A sample of a liquid has an initial volume of \( 1.5 L . \) The volume is reduced
by \( 0.2 m L, \) when the pressure increases
by \( 140 k P a . \) What is the bulk modulus
of the liquid.
A . \( 1.05 \times 10^{9} \) Pa
B . \( 1.05 \times 10^{5} \) Pa
\( \mathbf{c} \cdot 3.05 \times 10^{9} \mathrm{Pa} \)
D. \( 3.05 \times 10^{5} \) Pa
Subject: Physics
The resistance of one ohm is very
approximately equal to that of a column of mercury \( 1.06 m \) long and of
uniform cross-section of one hundredth
of \( 1 \mathrm{cm}^{2} \). Find the resistivity of mercury.
A \( \cdot 6.4 \times 10^{-7} \Omega m \)
В . \( 7.4 \times 10^{-7} \Omega m \)
c. \( 9.4 \times 10^{-7} \Omega m \)
D. \( 2.4 \times 10^{-7} \Omega m \)
Subject: Maths
What is the quotient when \( \left(x^{3}+8\right) \) is
divided by \( \left(x^{2}-2 x+4\right) ? \)
\( \mathbf{A} \cdot x-2 \)
B. \( x+2 \)
c. \( x+1 \)
D. \( x-1 \)
Subject: Chemistry
Graph between log \( \mathrm{K} \) and \( \frac{1}{T}[\text { Where } \mathrm{K} \) is
rate constant \( \left(S^{-1}\right) \) and \( T \) is
temperature (K)] is a straight line with
\( \boldsymbol{O} \boldsymbol{X}=\mathbf{5}, \boldsymbol{\theta}=\boldsymbol{t a n}^{-1}\left[-\frac{\mathbf{1}}{\mathbf{2 . 3 0 3}}\right] \)
Hence \( E_{a} \) and log A respectively will be:
A \( .2 .303 \times 2 c a l, 5 \)
B . \( \frac{2}{3.303} \) cal \( , e^{5} \)
c. 2 cal, 5
D. None of these
Subject: Chemistry
Which statement is incorrect about
\( \boldsymbol{O} \)
peptide bond \( -\stackrel{\|}{C}-\stackrel{\bullet}{N} H-? \)
A. \( C-N \) bond length in proteins is longer than usual bond length of \( N \) -bond
B. Spectroscopic analysis shows planar structure \( o- \) \( C_{0}-N H-\operatorname{grou} \)
0
c. \( C-N \) bond length in proteins is smaller than usual bond length of \( C-N \) bond
D. None of the above
Subject: Chemistry
Answer the following questions:
a) Calculate the EMF of the cell for the
reaction
\( \boldsymbol{M} \boldsymbol{g}_{(s)}+\mathbf{2} \boldsymbol{A} \boldsymbol{g}_{(a q)}^{+} \rightarrow \boldsymbol{M} \boldsymbol{g}_{(a q)}^{2+}+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g}_{(s)} \)
Given :
\( \boldsymbol{E}_{M g^{2+} / M g}^{0}=-\mathbf{2 . 3 7} \boldsymbol{V} \)
\( \boldsymbol{E}_{A g^{+} / A g}^{0}=\mathbf{0 . 8 0} \boldsymbol{V} \)
\( \left[\boldsymbol{M} \boldsymbol{g}^{2+}\right]=\mathbf{0 . 0 0 1} \boldsymbol{M} ;\left[\boldsymbol{A} \boldsymbol{g}^{+}\right]=\mathbf{0 . 0 0 0 1} \boldsymbol{M} \)
b) What are fuel cells?
Subject: Chemistry
In a reversible reaction, the enthalpy change and the activation energy in the forward direction are respectively \( -\boldsymbol{x} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1} \) and \( \boldsymbol{y} \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1} \)
Therefore, the energy of activation in the
backward direction, in \( k J \) mol \( ^{-1} \) is:
A \( \cdot(y-x) \)
в. \( (x+y) \)
c. \( (x-y) \)
D. \( -(x+y) \)
Subject: Chemistry
Let the solubility of an aqueous solution
of \( M g(O H)_{2} \) is \( x \) then its \( K_{s p} \) is
A \( \cdot 4 x^{3} \)
B . \( 108 x^{5} \)
\( \mathbf{c} \cdot 27 x^{4} \)
D. \( 9 x \)
Subject: Chemistry
For a solution of density, \( d \) in \( g / m \) containing solute of molecular weight \( W, \) the molarity \( M \) and molality \( m \) are
related by:
A \( \cdot \frac{d}{M}=\frac{1}{m}+\frac{W}{1000} \)
в. \( \frac{d}{m}=\frac{1}{M}+\frac{W}{1000} \)
c. \( \frac{W}{M}=\frac{1}{m}+\frac{d}{1000} \)
D. \( \frac{d}{m}=\frac{W}{M}+\frac{1}{1000} \)
Subject: Maths
In the above figure, if DE \( \| \mathrm{BC} \), then \( x \)
equals:
\( A \cdot 6 \mathrm{cm} \)
B. \( 7 \mathrm{cm} \)
\( c \cdot 3 \mathrm{cm} \)
D. \( 4 \mathrm{cm} \)
Subject: Chemistry
A compound of vanadium has a
magnetic moment of \( 1.73 B M . \) The
electronic configuration of vanadium ion in the compound is:
A \( \cdot[A r] 3 d^{2} \)
B \cdot \( [A r] 3 d^{1} 4 s^{0} \)
c. \( [A r] 3 d^{3} \)
\( \mathbf{D} \cdot[A r] 3 d^{0} 4 s^{1} \)
Subject: Physics
A non-conducting wall is given a
negative net charge. Next, a sheet of
very flexible rubber with zero net charge
is suspended from the ceiling near the charged wall as shown below. The
rubber sheet will:
flexible
net zero
A. not be affected by the charges on the wall since rubber is an insulator.
B. not be affected by the charged wall because the rubber sheet has zero net charge.
C. bend away from the wall due to the electrical repulsion between the electrons in the rubber and the charges on
the wall
D. bend away from the wall due to the polarization of the rubber molecules by the charged wall.
E. bend towards the wall due to the polarization of the rubber molecules by the charged wall.
Subject: Chemistry
The vapour if an aqueous solution of glucose is \( 750 m m \) of \( \mathrm{Hg} \) at \( 373 \mathrm{K} \) Calculate molality of the solution?
A. 0.523 mol/kg
в. 0.617 mol / \( / k g \)
c. 0.731 mol \( / \mathrm{kg} \)
D. 0.836 mol / \( / k g \)
Subject: Chemistry
An aqueous blue coloured solution of a
transition metal nitrate reacts with
\( H_{2} S \) in acidic medium to give a black precipitate (X), which dissolves in \( \boldsymbol{K} \boldsymbol{N} \) solution forming a clear solution of (Y). The blue solution on reaction with
\( K I \) in weakly acidic medium becomes intensely brown and produces a white precipitate (Z).
The electron configuration of the transition metal ion is

This question has multiple correct options
\( \mathbf{A} \cdot[A r] 3 d^{9} \)
B . \( [A r] 3 d^{10} \)
c. \( [K r] 4 d^{9} \)
D. \( [K r] 4 d^{1} \)
Subject: Chemistry
The low solubility of LiF and that of Cs|
in water are respectively due to which of the properties of the alkali metal ions?
A. Higher hydration enthalpy of \( L i^{+} \), higher lattice enthalpy of \( C s^{+} \)
B. Smaller hydration enthalpy of \( L i^{+} \), higher lattice enthalpy of \( C s^{\text {t }} \)
C. smaller lattice enthalpy of \( L i^{+} \), higher hydration enthalpy of \( C s^{+} \)
D. Higher lattice enthalpy of \( L i^{+} \), Smaller hydration enthalpy of \( C s^{\text {t }} \)
Subject: Chemistry
The standard reduction potential of metals \( X, Y \) and \( Z \) are \( -0.403 \vee, 0.337 V \) and \( 0.79 \mathrm{V} \) respectively. Which of the following reaction is not possible?
A \( \cdot X+H_{2} S O_{4} \rightarrow X S O_{4}+H_{2} \)
в. \( 2 Z+2 H N O_{3} \rightarrow 2 Z N O_{3}+H_{2} \)
c. \( Y+Z_{S} O_{4} \rightarrow Y S O_{4}+2 Z \)
D. \( X+2 Z N O_{3} \rightarrow X\left(N O_{3}\right)_{2}+2 Z \)
Subject: Chemistry
An ideal gas is taken through a cyclic thermo dynamical process through four steps. The amounts of heat involved in
steps are
\( Q_{1}=5960 J, Q_{2}=-5585 J, Q_{3}= \)
\( -2980 J, Q_{4}=3645 J ; \) respectively, the
corresponding works involved are
\( \boldsymbol{W}_{\mathbf{1}}=\mathbf{2 2 0 0}, \boldsymbol{W}_{\mathbf{2}}=-\mathbf{8 2 5} \boldsymbol{J}, \boldsymbol{W}_{\mathbf{3}}= \)
\( -1100 J \) and \( W_{4} \) respectively. Find the
value of \( W_{4} \) and efficiency of the cycle
A. 1315 J, 10\%
B. 275 J, 11\%
C. both of them
D. none of these
Subject: Physics
A light beam travelling in the \( x \)
direction is described by the electric
field \( \boldsymbol{E}_{\boldsymbol{y}}=\mathbf{3 0 0 v} / \boldsymbol{m} \sin \left(\boldsymbol{t}-\frac{\boldsymbol{x}}{c}\right) \cdot \mathbf{A} \mathbf{n} \)
electron is constrained to move along
the y-direction with a speed of \( 2.0 \times \) \( 10^{7} m / s . \) Find the maximum magnetic
force on the electron.
\( \mathbf{A} \cdot 2 \times 10^{-18} \)
B . \( 2.5 \times 10^{-18} \)
C \( .3 \times 10^{-18} \)
D. \( 3.2 \times 10^{-18} \)
Subject: Maths
If the \( p^{t h}, q^{t h} \) and \( r^{t h} \) term of an
arithmetic sequence are \( a, b \) and \( c \)
respectively, then the value of \( [\boldsymbol{a}(\boldsymbol{q} \boldsymbol{r})+\boldsymbol{b}(\boldsymbol{r} \boldsymbol{p})+\boldsymbol{c}(\boldsymbol{p} \boldsymbol{q})]= \)
\( A \)
B. -
\( c \cdot c \)
D. \( 1 / 2 \)
Subject: Chemistry
The carbon-based reduction method is
not used for the extraction of :
This question has multiple correct options
A. tin from \( S n O_{2} \)
B. iron from \( F e_{e} O_{3} \)
C. aluminium from \( A l_{2} O_{3} \)
D. magnesium from \( M g C O_{3}, C a C O_{3} \)
Subject: Physics
In a plano convex lens the radius of
curvature of the convex lens is \( 10 \mathrm{cm} \). If
the plane side is polished, then the focal length will be (Refractive index \( =1.5) \)
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( \mathbf{c} \cdot 15 c m \)
D. \( 5 \mathrm{cm} \)
Subject: Chemistry
Assertion
The \( N-N \) bond distance in \( N \) is
shorter than the \( N-N \) bond distance
in \( \boldsymbol{N}_{2} \boldsymbol{H}_{4} \)
Reason
The atomic radius of \( \boldsymbol{H} \) is smaller than
the atomic radius of \( N \)
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
ABCDE is regular pentagon. The bisector
of \( \angle A \) of the pentagon meets the side
CD in M. Then the measure \( \angle A M C \) is
A \( .54^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 90^{0} \)
D. \( 100^{\circ} \)
Subject: Physics
The gravitational potential energy of a body at a distance \( r \) from the centre of
earth is \( U . \) Its weight at a distance \( 2 r \)
from the centre of earth is
A \( \cdot \frac{U}{r} \)
в. \( \frac{U}{2 r} \)
c. \( \frac{U}{4 r} \)
D. \( \frac{U}{\sqrt{2} r} \)
Subject: Maths
\( \boldsymbol{A}+\boldsymbol{B}=\frac{\boldsymbol{\pi}}{\mathbf{3}} ; \cos \boldsymbol{A}+\cos \boldsymbol{B}=\mathbf{1}, \) value of
\( |\cos A-\cos B| \) is
A \( \cdot \frac{1}{3} \)
B. \( \sqrt{\frac{2}{3}} \)
\( c \cdot \sqrt{\frac{3}{2}} \)
D.
Subject: Chemistry
Assertion
Sodium reacts with oxygen to form
\( N a_{2} O_{2} \) but postassium reacts with
oxygen to form \( K O_{2} \)
Reason
Potassium is more reactive metal than
sodium.
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
toppr b
Q Type your question
1.
v. The source of sound is capable of giving varied frequencies in the range
of \( \boldsymbol{v}_{1} \) and \( \boldsymbol{v}_{2}\left(\text { where } \boldsymbol{v}_{2}>\boldsymbol{v}_{1}\right) . \) If \( n \) is an
integer then frequency for maximum intensity is given by?
A \( \cdot \frac{n v}{f} \)
B. \( \frac{n v}{r(\pi-2)} \)
c. \( \frac{n v}{\pi r} \)
D. \( \frac{n v}{(r-2) \pi} \)
Subject: Maths
A toy company manufactures two types
of dolls, \( A \) and \( B \). Market tests and
available resources have indicated that
the combined production level should
not exceed 1200 dolls per week and the
demand for dolls of type \( B \) is at most
half of that for dolls of type \( A \). Further,
the production level of dolls of type \( \boldsymbol{A} \) can exceed three times the production
of dolls of other types by at most 600 units. If the company makes a profit of
Rs.12 and Rs.16 per doll respectively
on dolls \( A \) and \( B \), how many of each
should be produced weekly in order to maximize the profit?
Subject: Chemistry
\( K_{a} \) for \( H C N \) is \( 5 \times 10^{-10} \) at \( 25^{\circ} C . \) For
maintaining a constant \( p H \) of 9 , the
volume of \( 5 M K C N \) solution required
to be added to \( 10 m L \) of \( 2 M H C N \)
solution is:
A . 10
B. 8
\( c \cdot 2 \)
D. 6
Subject: Physics
When an air bubble of radius \( r \) rises
from the bottom to the surface of a lake, the radius becomes \( \frac{5 r}{4} . \) Taking the
atmospheric pressure to be equal to 10 \( m \) height of water column, the depth
of the lake would approximately be (ignore the surface tension and the effect of temperature):
A . \( 11.2 m \)
B. \( 8.7 m \)
\( \mathbf{c} .9 .5 m \)
D. \( 10.5 \mathrm{m} \)
Subject: Chemistry
An aqueous solution at room temperature is \( 0.1 M \) with respect to
ammonium chloride and \( 0.1 M \) with
respect to \( N H_{4} O H\left(p K_{b}=5\right), \) the \( p H \)
of the solution is:
A . 7.5
B. 6.8
c. 6.5
D. 9.
Subject: Physics
A steel wire of length 4.7 m and cross-
sectional area \( 3 \times 10^{-6} m^{2} \) stretches by
the same amount as a copper wire of length \( 3.5 m \) ad cross-sectional area of
\( 4 \times 10^{-6} m^{2} \) under a given load. The
ratio of Young's modulus of steel to that of copper is
A . 1.8
в. 3.6
c. 0.6
D. 8.7
Subject: Chemistry
Assertion
Woolen clothes keep the body warm in
winter
Reason
Air is a bad conductor of heat.
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
A particle moves along a straight line
according to the law \( s=16-2 t+3 t^{3} \)
where \( s \) metres is the distance of the
particle from a fixed point at the end of \( t \) second. The acceleration of the particle
at the end of 2 s is
A \( \cdot 3.6 m / s^{2} \)
B. \( 36 m / s^{2} \)
c. \( 36 k m / s^{2} \)
D. \( 360 m / s^{2} \)
Subject: Maths
f \( x, y \) are rational numbers such that
\( (x+2 y)+(x-3 y) \sqrt{6}= \)
\( (x-y-2) \sqrt{5}+(2 x+y-2), \) then
A \( . x+y=6 \)
В. \( x+y=5 \)
c. \( x+y=4 \)
D. \( x+y=3 \)
Subject: Maths
\( \int \frac{d x}{(x-1) \sqrt{x^{2}-1}}= \)
A \( -\sqrt{\frac{x-1}{x+1}}+C \)
в. \( \sqrt{\frac{x-1}{x^{2}+1}}+C \)
c. \( -\sqrt{\frac{x+1}{x-1}}+C \)
D. \( \sqrt{\frac{x^{2}+1}{x-1}}+C \)