AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
toppr
Q Type your question
at the eye by the virtual image produced by a magnifying glass. In what sense then does a magnifying glass provide angular magnification?
(b) In viewing through a magnifying glass, one usually positions ones eyes very close to the lens. Does angular
magnification change if the eye is
moved back?
(c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens. What then stops us from using a convex lens of
smaller and smaller focal length and achieving greater and greater magnifying power?
(d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths?
(e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing. Why? How much should be that short distance between the eye and eyepiece?
Subject: Chemistry
The freezing point of equimolal solution will be highest for:
A \( \cdot C_{6} H_{5} N H_{3} C l \)
в. \( A g N O_{3} \)
\( \mathbf{c} \cdot C a\left(N O_{3}\right)_{2} \)
\( \mathbf{D} \cdot L a\left(N O_{3}\right) \)
E. \( D- \) fructose
Subject: Physics
A truck is moving with the speed of
\( 20 m / s \) and having a momentum of \( 12,000 k g m / s . \) Find out the mass of
the truck?
A. \( 240,000 k g \)
в. 6,000 kg
c. \( 1,200 k g \)
D. \( 600 k g \)
E . \( 120 k g \)
Subject: Physics
The maximum wavelength of photons that can be detected by a photo-diode, which is made of a semiconductor of
band gap \( 2 e V \) is about :
\( \mathbf{A} \cdot 620 n m \)
B. 700 nm
\( c .740 n m \)
D. \( 860 n m \)
E. \( 1240 n m \)
Subject: Maths
Solve the equations using graphical
method: \( \boldsymbol{x}-\boldsymbol{y}=\mathbf{3} \) and \( \boldsymbol{x}+\boldsymbol{y}=\mathbf{1 1} \)
A \( .(7,4) \)
в. (-7,3)
c. (7,-4)
D. (-7,4)
Subject: Maths
If \( A, B \) and \( C \) are three sets such that
\( \boldsymbol{A} \cap \boldsymbol{B}=\boldsymbol{A} \cap \boldsymbol{C} \) and \( \boldsymbol{A} \cup \boldsymbol{B}=\boldsymbol{A} \cup \boldsymbol{C} \)
then
A \( . A=C \)
B. \( B=C \)
c. \( A \cap B=\phi \)
D. \( A=B \)
Subject: Maths
If \( G_{1} \) and \( G_{2} \) are geometric mean of two
series of sizes \( n_{1} \) and \( n_{2} \) respectively
and \( G \) is geometric mean of their
combined series, then \( \log G \) is equal to
A \( \cdot \log G_{1}+\log G_{2} \)
в. \( n_{1} \log G_{1}+n_{2} \log G_{2} \)
\( c \cdot \frac{\log G_{1}+\log G_{2}}{n_{1}+n_{2}} \)
D. \( \frac{n_{1} \log G_{1}+n_{2} \log G_{2}}{n_{1}+n_{2}} \)
Subject: Maths
If \( y=f(x) \) is continuous on [0,6] differentiable on \( (0,6), f(0)=-2 \) and
\( f(6)=16, \) then at some point between
\( \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\mathbf{6}, \mathbf{f}^{\prime}(\mathbf{x}) \) must be equal to?
A . -18
B. -3
\( c .3 \)
D. 14
Subject: Maths
The nth term of the A.P. \( 3,7,11,15, \ldots . \) is given by -
A \( \cdot T_{n}=4 n-1 \)
в. \( T_{n}=3 n+4 \)
c. \( T_{n}=3 n-4 \)
D. \( T_{n}=2 n+1 \)
Subject: Maths
Solve the following differential equation:
\( \boldsymbol{x} \cos \boldsymbol{y} \boldsymbol{d} \boldsymbol{y}=\left(\boldsymbol{x} e^{x} \log \boldsymbol{x}+\boldsymbol{e}^{\boldsymbol{x}}\right) \boldsymbol{d} \boldsymbol{x} \)
Subject: Maths
\( \mathbf{f} \boldsymbol{I}=\int \boldsymbol{x} \sin ^{-1}\left\{\frac{\mathbf{1}}{\mathbf{2}} \sqrt{\frac{\mathbf{2} \boldsymbol{a}-\boldsymbol{x}}{\boldsymbol{a}}}\right\} \boldsymbol{d} \boldsymbol{x}= \)
\( \frac{\boldsymbol{A}}{\mathbf{2 4 8}}\left(\boldsymbol{x}^{2}-\boldsymbol{2} \boldsymbol{a}^{2}\right) \cos ^{-1} \frac{\boldsymbol{x}}{\boldsymbol{2} \boldsymbol{a}}- \)
\( \frac{1}{8} x \sqrt{4 a^{2}-x^{2}}+C \) then \( A \) is equal to
Subject: Maths
Construct a quadrilateral \( L I F T, \) when:
\( \boldsymbol{L} \boldsymbol{I}=\boldsymbol{4} \boldsymbol{c m}, \boldsymbol{I} \boldsymbol{F}=\boldsymbol{3} \boldsymbol{c m}, \boldsymbol{T} \boldsymbol{L}= \)
\( 2.5 \mathrm{cm}, L F=4.5 \mathrm{cm}, I T=4 \mathrm{cm} \)
Subject: Physics
Visible light passing through a circular hole forms a diffraction disc of radius
\( 0.1 \mathrm{mm} \) on a screen. If \( \mathrm{X} \) -ray is passed through the same set up, the radius of the diffraction disc will be
A . zero
B. < 0.1 \( m m \)
\( c .0 .1 \mathrm{mm} \)
D. > 0.1 \( m m \)
Subject: Biology
Arrange the following in ascending order based on their solute
concentration
\( \begin{array}{ll}\text { Water } & \text { Pressure Potential } \\ \text { Cell } & \begin{array}{l}\text { Potential } \\ (\mathrm{KPa})\end{array} & (\mathrm{KPa}) \\ & \end{array} \) \( \begin{array}{lll}\text { (a) } & -590 & 320 \\ \text { (b) } & -368 & 623 \\ \text { (c) } & -292 & 412 \\ \text { (d) } & -481 & 146\end{array} \)
\( A \)
\( a, a, d, b \)
B. \( \mathrm{d}, \mathrm{c}, \mathrm{a}, \mathrm{b} \)
\( c \cdot a, c, b, d \)
\( D \cdot b, a, c, d \)
Subject: Chemistry
IUPAC name of \( \boldsymbol{N} \boldsymbol{a}_{3}\left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)_{6}\right] \) is:
A. Sodium cobaltinitrite
B. Sodium hexanitrocobaltate(III)
c. Sodium hexanitrocobalt(III)
D. Sodium hexanitrocobaltate
Subject: Chemistry
If \( x \) and \( y \) are two intensive variables
then:
This question has multiple correct options
A. \( x y \) is an intensive variable
B. \( \frac{x}{y} \) is an intensive variable
c. \( (x+y) \) is an intensive variable
D \( \cdot \frac{d x}{d y} \) is an extensive property
Subject: Maths
FHEMENT-1: \( \left[\lim _{x \rightarrow 0} \frac{\sin x}{x}\right]=0 \)
STATEMENT-2: For \( \boldsymbol{x} \in(-\boldsymbol{\delta}, \boldsymbol{\delta}), \) where \( \boldsymbol{\delta} \)
is positive and \( \delta \rightarrow 0, \tan x>x \)
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is not the correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Physics
The two rails of a railway track,
insulated from each other and the
ground, are connected to millivoltmeter. What is the reading of the
millivoltmeter when a train passes at a
speed of \( 180 \mathrm{km} / \mathrm{hr} \) along the track,
given that the vertical component of
earth's magnetic field is \( 0.2 \times \)
\( 10^{-4} w b / m^{2} \) and rails are separated by 1
metre
A \( \cdot 10^{-1} \) volt
B. \( 10 \mathrm{mV} \)
c. 1 volt
\( \mathbf{D} \cdot 1 m V \)
Subject: Maths
A company packages its milk powder in cylindrical container whose base has a
diameter of \( 14 \mathrm{cm} \) and height \( 20 \mathrm{cm} \)
Company places a label around the surface of the container (as shown in
the figure). If the label is placed \( 2 \mathrm{cm} \)
from top and bottom, what is the area of
the label?
Subject: Chemistry
In dissociation of \( \boldsymbol{I}_{2}(\boldsymbol{g}) \) at \( \mathbf{1 0 0 0} \boldsymbol{K} \) in a
container of 1 litre :
\( \boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{I}^{-}(\boldsymbol{g}) ; \boldsymbol{K}_{c}=\mathbf{1 0}^{-\mathbf{6}} \)
Select the correct relation:
\( \mathbf{A} \cdot\left[I_{2}\right]>\left[I^{-}\right] \)
В \( \cdot\left[I_{2}\right]<\left[I^{-}\right] \)
\( \mathbf{c} \cdot\left[I_{2}\right]=\left[I^{-}\right] \)
D. \( \quad\left[I_{2}\right]=\frac{1}{2}\left[I^{-}\right] \)
Subject: Maths
The angle between the vectors \( \vec{a} \) and \( \vec{b} \) such that \( |\vec{a}|=|\vec{b}|=\sqrt{2} \) and \( \vec{a} \cdot \vec{b}=1 \)
is
A \( \cdot \frac{\pi}{2} \)
в. \( \frac{\pi}{3} \)
\( c \cdot \frac{\pi}{4} \)
D.
Subject: Maths
If \( |\vec{a}|=1, \) the projection of \( \vec{r} \) along \( \vec{a} \) is 2 and \( \vec{a} \times \vec{r}+\vec{b}=\vec{r}, \) then \( \vec{r}= \)
A \( \cdot \frac{1}{2}[\vec{a}-\vec{b}+\vec{a} \times \vec{b}] \)
B \( \cdot \frac{1}{2}[2 \vec{a}+\vec{b}+\vec{a} \times \vec{b}] \)
c. \( \vec{a}+\vec{a} \times \vec{b} \)
D . \( \vec{a}-\vec{a} \times \vec{b} \)
Subject: Biology
Karyoplasmic index (KI) is
A \( \cdot \frac{V_{V}}{V_{n}-V_{c}} \)
B. \( \frac{V_{V}}{V_{c}-V_{n}} \)
\( c \cdot \frac{V_{c}}{V_{n}} \)
D. \( \frac{V_{n}}{V_{n}+V_{c}} \)
Subject: Physics
The angular momentum of a rotating
body changes from \( A_{0} \) to \( 4 A_{0} \) in 4 seconds. The torque acting on the body is :
A \( \cdot \frac{3}{4} A_{0} \)
B . \( 4 A_{0} \)
c. \( 3 A_{0} \)
D. \( \frac{3}{2} A_{0} \)
Subject: Maths
\( \operatorname{Let} C_{k}=^{n} C_{k} \) for \( 0 \leq k \leq n \) and
\( \boldsymbol{A}_{\boldsymbol{k}}=\left[\begin{array}{cc}\boldsymbol{C}_{\boldsymbol{k}-1}^{2} & \boldsymbol{0} \\ \boldsymbol{0} & \boldsymbol{C}_{\boldsymbol{k}}^{2}\end{array}\right] \) for \( \boldsymbol{k} \geq 1, \) and \( \boldsymbol{A}_{1}+ \)
\( \boldsymbol{A}_{2}+\ldots+\boldsymbol{A}_{n}=\left[\begin{array}{cc}\boldsymbol{k}_{1} & \mathbf{0} \\ \mathbf{0} & \boldsymbol{k}_{2}\end{array}\right], \) then
This question has multiple correct options
A \( . k_{1}=k_{2} \)
B . \( k_{1}+k_{2}=^{2 n} C_{2 n}+1 \)
c. \( k_{1}=^{2 n} C_{n}-1 \)
D. \( k_{2}=^{2 n} C_{n+1} \)
Subject: Physics
An inductor \( 200 \mathrm{mH} \), capacitor \( 500 \mu \mathrm{F} \)
and resistor \( 10 \Omega \) are connected in
series with a \( 100 \mathrm{V} \) variable frequency ac source. What is the frequency at which the power factor of the circuit is unity?
A . \( 10.22 \mathrm{Hz} \)
B. 12.4 нz
c. \( 19.2 \mathrm{Hz} \)
D. 15.9 нz
Subject: Physics
In Coulomb's law, the constant of
proportionality K has the units
\( N m^{2} / C^{2} \) then the magnitude of \( \mathrm{K} \) in air
is :
A \( 9 \times 10^{5} \)
\( ^{5} \)
B. \( 9 \times 10^{9} \)
\( \mathrm{c} \cdot 9 \times 10^{3} \)
D. none of these
Subject: Biology
Assertion
Cyclic pathway of photophosphorylation first appeared in some eubacterial
species.
Reason
Oxygen started accumulating in the atmosphere after the non-cyclic pathway of photosynthesis evolved.
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
An inorganic compound \( (A) \) of \( S, C l \)
and oxygen has vapour density \( 67.5 . \) It reacts with water to form two acids \( (B) \) and \( (C) .(A) \) also reacts with \( K O H_{(a q)} \) to form two salts \( (D) \) and \( (E) .(D) \) and
\( (\boldsymbol{E}) \) gives white precipitate with
\( A g N O_{3} \) and \( B a C l_{2} \) solutions respectively. What are \( (A) \) to \( (E) ? \)
Subject: Chemistry
Calculate the PH of a buffer solution
prepared by dissolving 30 g of \( N a 2 C O 3 \) in \( 500 \mathrm{ml} \) of an aqueous solution containing \( 150 \mathrm{ml} \) of \( 1 \mathrm{m} \) HC \( L \). ka for
\( H C O^{-3}=5.63 \times 10-11 \)
\( \mathbf{A} \cdot 8.197 \)
B. 9.197
c. 10.437
D. 11.197
Subject: Maths
\( (x, y) \) and \( (p, q) \) are two ordered pairs.
Find the values of \( x \) and \( p, \) if \( (3 x- \)
\( \mathbf{1}, \mathbf{9})=(\mathbf{1 1}, \boldsymbol{p}+\mathbf{2}) \)
A. \( x=4, p=9 \)
В. \( x=6, p=7 \)
c. \( x=4, p=5 \)
D. \( x=4, p=7 \)
Subject: Maths
The area of trapezium shaped field is
\( 480 m^{2}, \) the distance between two
parallel sides is \( 15 \mathrm{cm} \) and one of the
parallel sides is 20 m. Find the other
parallel side.
A. \( 44 m \)
в. 42 т
\( c .43 m \)
D. None of these
Subject: Physics
A moving electron has kinetic energy \( \boldsymbol{K} \) When a certain amount of work is done, it moves with one quarter of its velocity in opposite direction. Find the work in
terms of \( \boldsymbol{K} \)
A \( \cdot \frac{-15}{16} K \)
в. \( \frac{-17}{16} K \)
c. \( \frac{-5}{4} K \)
D. \( \frac{-3}{4} K \)
Subject: Maths
It is known that \( \sin \beta=\frac{4}{5} \& 0<\beta<\pi \)
then the value of
\( \frac{\sqrt{\mathbf{3}} \sin (\boldsymbol{\alpha}+\boldsymbol{\beta})-\frac{\mathbf{2}}{\mathbf{c o s}} \frac{\boldsymbol{\pi}}{\mathbf{6}} \cos (\boldsymbol{\alpha}+\boldsymbol{\beta})}{\sin \boldsymbol{\alpha}} \)
A. independent of \( \alpha \) for all \( \beta \) in \( (0, \pi) \)
В. \( \frac{5}{\sqrt{3}} \) for \( \tan \beta<0 \)
c. \( \frac{\sqrt{3}(7+24 \cot \alpha)}{15} \) for \( \tan \beta>0 \)
\( D . \) none
Subject: Chemistry
Assertion
In Hoffmann bromide reaction, the
amine formed has one carbon atom less
than the parent \( 1^{\circ} \) amide. Because
Reason
\( N- \) methyl acetamide undergoes Hoffmann bromamide reaction
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
Evaluate: \( \int \cot x \log \sin x d x \)
A \( \cdot(\log \sin x)^{2} \)
B \( \cdot \frac{1}{2}(\log \sin x) \)
c. \( \frac{1}{2}(\log \operatorname{cosec} x)^{2} \)
D. \( \frac{1}{2}(\log \sin x)^{2} \)
Subject: Physics
A trolley is moving horizontally with a velocity of \( v \) m/s w.r.t. earth. A man
starts running in the direction of
motion of trolley from one end of trolley
with a velocity \( 1.5 v \) m/ \( s \) w.r.t. the trolley. After reaching the opposite end, the man turns back and continues running
with a velocity of1.5 \( \boldsymbol{v} \boldsymbol{m} / \boldsymbol{s} \) w.r.t. trolley
in the backward direction. If the length
of the trolley is \( \mathrm{L} \), then the displacement
of the man with respect to earth,
measured as a function of time, will
attain a maximum value of
A \( \cdot \frac{4}{3} L \)
B. \( \frac{2}{3} L \)
c. \( \frac{5 L}{3} \)
D. \( 1.5 L \)
Subject: Physics
A sinusoidal alternating current of peak
value \( I_{0} \) passes through a heater of
resistance \( R \). What is the mean power
output of the heater?
A \( \cdot I_{0}^{2} R \)
B. \( \frac{I_{0}^{2} R}{2} \)
\( \mathbf{c} \cdot 2 I_{0}^{2} R \)
D. \( \sqrt{2} I_{0}^{2} R \)
Subject: Physics
Two blocks \( A \) and \( B \) of masses \( 3 m \) and
\( \mathrm{m}, \) respectively, are connected by a massless and inextensible string. The
whole system is suspended by a massless spring as shown. The magnitudes of accelerations of \( A \) and \( B \), immediately after the string is cut, are respectively:
A \( \cdot g, g \)
В. \( g, \frac{g}{3} \)
\( c \cdot \frac{g}{3}, g \)
D. \( \frac{g}{3}, \frac{g}{3} \)
Subject: Chemistry
Of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one of them?
A \( \cdot(n-1) d^{8} n s^{2} \)
B . \( (n-1) d^{5} n s^{1} \)
c. \( (n-1) d^{3} n s^{2} \)
D. \( (n-1) d^{5} n s^{2} \)
Subject: Maths
Assertion
The differential equation of all circles in
a plane is of order 3
Reason
Only one circle can be drawn through any three points in a plane
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
The units of force, velocity and energy are 100 dyne, \( 10 \mathrm{cms}^{-1} \) and 500 erg respectively. The units of mass, length and time are:
\( A \cdot 5 g, 5 \mathrm{cm}, 5 \mathrm{s} \)
B. 5 g, \( 5 \mathrm{cm}, 0.5 \) s
c. \( 0.5 \mathrm{g}, 5 \mathrm{cm}, 5 \mathrm{s} \)
D. 5 g, \( 0.5 \mathrm{cm}, 5 \mathrm{s} \)
Subject: Chemistry
Assertion
Formation of \( \boldsymbol{H} \boldsymbol{I} \) is a bimolecular
reaction
Reason
Two molecules of reactants are involved
in this reaction.
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
For the determination of the coefficient
of viscosity of a given liquid, a graph between square of the radius of the spherical steel balls and their terminal
velocity is plotted. The slope of the graph is given by
A \( \cdot \frac{r^{2}}{v} \)
в. \( \frac{v^{2}}{r} \)
c. \( _{\frac{v}{r}} \)
D. \( \frac{v}{r^{2}} \)
Subject: Biology
Find the incorrect match
\( \begin{array}{lll}\text { । } & \text { II } & \text { III } \\ \text { i. Crab } & \text { Sacculina } & \begin{array}{l}\text { Interaction } \\ ++\end{array} \\ \begin{array}{l}\text { ii. Human } \\ \text { being }\end{array} & \text { Mosquito } & \begin{array}{l}\text { Interaction } \\ -+\end{array} \\ \begin{array}{l}\text { iii. Sea } \\ \text { anemone }\end{array} & \begin{array}{l}\text { Hermit } \\ \text { crab }\end{array} & \begin{array}{l}\text { Interaction } \\ ++\end{array}\end{array} \)
A . i. only
B. ii. and iii.
c. iii. and
D. ii. only
Subject: Chemistry
Assertion
Nitric oxide, though an odd electron molecule in diamagnetic in liquid state
Reason

There occurs only partial dimerisation
of \( N O \) to \( N_{2} O_{2} \)
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: Chemistry
A galvanic cell consists of a metallic.
zinc plate immersed in \( 0.1 \mathrm{M} \mathrm{Zn}\left(\mathrm{NO}_{3}\right)_{2} \)
solution and metallic plate of lead in
\( 0.02 \mathrm{M} \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} \) solution. Calculate
the emf of the cell write the chemical
equation for the electrode reactions and
represent the cell. (Given \( \mathbf{E}_{Z n^{2+}, Z n}^{\circ}= \)
\( \left.-\mathbf{0 . 7 6} V, E_{P b^{2+}, P b}^{\circ}=\mathbf{0 . 1 3} V\right) \)
Subject: Physics
Considering a system having two
masses \( m_{1} \) and \( m_{2} \) in which first mass
is pushed towards centre of mass by a
distance \( a \). The distance the second
mass must be moved to keep centre of mass at same position is :
A \( \cdot \frac{m_{1}}{m_{2}} a \)
в. \( \frac{m_{1} m_{2}}{a} \)
c. \( \frac{m_{2}}{m_{1}} \)
D. \( \left(\frac{m_{2} m_{1}}{m_{1}+m_{2}}\right) a \)
Subject: Chemistry
Why does aluminium chloride, \( A l_{2} C l_{6} \)
sublime at the relatively low
temperature of \( 180^{-\circ} \mathrm{C} ? \) 1 The intermolecular forces between the
\( A l_{2} C l_{6} \) molecules are weak.
2 The co-ordinate bonds between
aluminium and chlorine are weak.
3 The covalent bonds between
aluminium and chlorine are weak.
A. 1,2 and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct
Subject: Physics
A p-n photodiode is made of a material with a band gap of \( 2.0 e V . \) The minimum
frequency of the radiation that can be
absorbed by the material is nearly:
\( \mathbf{A} \cdot 10 \times 10^{14} \mathrm{Hz} \)
B . \( 5 \times 10^{14} \mathrm{Hz} \)
c. \( 1 \times 10^{14} H z \)
D. \( 20 \times 10^{14} \mathrm{Hz} \)
Subject: Chemistry
Saturated solution of \( K N O_{3} \) is used to
make salt bridge because:
A. velocity of \( K^{+} \) ion is greater than that of \( N O_{3}^{-} \) ion
B. velocity of \( N O_{3}^{-} \) ion is greater than that of \( K^{+} \) ion
C. velocities of both \( K^{+} \) and \( N O_{3}^{-} \) ions are nearly the
same
D. \( K N O_{3} \) is highly soluble in water
Subject: Physics
Two spherical lumps of clay attract each other with some amount of
gravitational force, as explained by Newton's law of universal gravitation. If add clay to one lump and to the other so that the mass of one is 5 times as much
as before and the mass of the other is 3
times as much as before, and I move the lumps (still spherical) so that their centers are now 4 times as far apart as
before, how does the new gravitational force between them compare?
A. The new force is slightly smaller.
B. The new force is slightly greater.
c. The new force is more than 3 times as great
D. The new force is less than one-third as greatt
E. We cannot answer this question without knowing the universal gravitational constant
Subject: Maths
Construct a triangle of sides \( 4 \mathrm{cm}, 5 \mathrm{cm} \)
and \( 6 \mathrm{cm} \) and then a triangle similar to it whose sides are \( \frac{2}{3} \) of the
corresponding sides of the first
triangle. The length of side \( A^{\prime} C^{\prime} \) (in \( c m \)
is:
Subject: Maths
Each of the urns contains 4 white and 6
blackballs. The \( (n+1) \) th urn contains 5
white and 5black balls. One of the \( (n+1) \)
urns is chosen atrandom and two balls
are drawn from it withoutreplacement and both the balls turn out to beblack.
Then the probability that the \( (n+1) \) th urn was chosen to draw the balls is \( 1 / 16 \) the value of \( n \) is
A . 10
в. 11
c. 12
D. 13
Subject: Physics
The figure shows a small circular coil of area A suspended from a point 0 by a string of length I in a uniform magnetic induction B in the horizontal direction. If
the coil is set into oscillations likes
simple pendulum by displacing it a
small angle \( \theta_{0} \) as shown, find emf induced in the coil as a function of time.
Assume the plane of the coil is always in the plane of string.
Subject: Maths
If the Rolle's theorem holds for the
function \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{\mathbf{3}}+\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x} \) in
interval [-1,1] for the point \( c=\frac{1}{2}, \) then
find the value of \( 2 a+b ? \)
A
B. -
\( c \cdot 2 \)
\( D \cdot-2 \)
Subject: Chemistry
\( 100 m l \) of \( 0.2 M H_{2} S O_{4} \) is reacted with
\( 100 m l \) of \( 0.5 M N a O H \) solution. what
is the normality of the solution
A . 0.3N
B. 0.8N
c. \( 0.1 \mathrm{N} \)
D. 1N
Subject: Physics
The average kinetic energy of a gas molecule at \( 27^{\circ} C \) is \( 6.21 \times 10^{-21} J \)
then its average kinetic energy at
\( 227^{\circ} \mathrm{C} \) is:
A \( \cdot 10.35 \times 10^{-21} J \)
В. \( 11.35 \times 10^{-21} J \)
D. \( 5.22 \times 10^{-21} J \)
Subject: Chemistry
Assertion
Rate of reaction of alkyl halide in Williamson's synthesis reaction is
\( \mathbf{1}^{\circ} \boldsymbol{R} \boldsymbol{X}>\mathbf{2}^{\circ} \boldsymbol{R} \boldsymbol{X}>\mathbf{3}^{\circ} \boldsymbol{R} \boldsymbol{X} \)
Reason
It is a type of bimolecular substitution
reaction \( \left(\boldsymbol{S}_{N} \mathbf{2}\right) \)
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 resistance of \( 10 \Omega \) and an inductance
of \( 100 m H \) are connected in series with
an AC source of voltage \( \boldsymbol{V}= \) \( 100 \cos (100 t) \) volt. The phase difference
between the voltage applied and the current flowing in the circuit will be
A . zero
в. \( \frac{\pi}{2} \)
c.
D. \( \pi \)
Subject: Biology
Assertion: We have lost all the direct evid
ences of origin of life.

Reason : The person responsible to protec
t the evidences were not skilled.
\( A . \) If both the assertion and the reason are true and the reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
E. If the assertion is false but reason is true
Subject: Physics
Two identical ladders are arranged as
shown in the figure. Mass of each ladder
is \( M \) and length \( L \). The system is in
equilibrium. Find direction and
magnitude of friction force acting at \( \mathbf{A} \)
or B.
A \( \cdot f=\left(\frac{M+m}{2}\right) g \tan \theta \) horizontally outwards
B. \( f=\left(\frac{M+m}{2}\right) g \cot \theta \) horizontally inwards
\( ^{\mathrm{C}} \cdot f=\left(\frac{M+m}{2}\right) g \cos \theta \) horizontally outwards
D. None of these
Subject: Physics
In the figure \( A B \) is a wire of length 100
\( \mathrm{cm} \) whose resistance is \( 5 \Omega \). If
galvanometer reads zero, the current
flowing in the wire AB is
A . \( 0.1 \mathrm{A} \)
B. 0.5
\( c \cdot 1 A \)
D. \( 1.4 A \)