AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which of the following is the best example of law of conservation of
mass?
A. \( 12 \mathrm{gm} \) of carbon combines with \( 32 \mathrm{gm} \) of oxygen to form \( 44 \mathrm{gm} \) of \( \mathrm{CO}_{2} \)
B. When 72 gm of carbon is heated in vacuum and no change in mass takes place
c. The weight of a piece of platinum is the same before and after heating in air
D. None of these
Subject: Physics
A uniform magnetic field \( \vec{B}=(3 \hat{i}+ \)
\( 4 \hat{j}+\hat{k}) \) exists in region of space.
semicircular wire of radius 1 m
carrying current \( 1 A \) having its centre \( \operatorname{at}(2,2,0) \) is placed in \( x-y \) plane as
shown in figure. The force on semicircular wire will be
\( \mathbf{A} \cdot \sqrt{2}(\hat{i}+\hat{j}+\hat{k}) \)
B. \( \sqrt{2}(\hat{i}-\hat{j}+\hat{k}) \)
\( \mathbf{c} \cdot \sqrt{2}(\hat{i}+\hat{j}-\hat{k}) \)
D. \( \sqrt{2}(-\hat{i}+\hat{j}+\hat{k}) \)
Subject: Chemistry
During the charging of lead storage battery, the reaction at anode is
represented by:
A \( \cdot P b^{2+}+S O_{4}^{2-} \rightarrow P b S O_{4} \)
B . \( P b S O_{4}+2 H_{2} O \rightarrow P b O_{2}+S O_{4}^{2-}+4 H^{+}+2 e \)
c. \( P b \rightarrow P b^{2+}+2 e \)
\( \mathbf{D} \cdot P b^{2+}+2 e \rightarrow P b \)
Subject: Chemistry
A solution of \( X S O_{4} \) is electrolyed. When a constant current of 2.0 amperes is applied for 800 minutes, \( 4.5 g \) of the unknown metal X is deposited. Identify the unknown metal, X.
A. \( C d \)
в. \( B e \)
c. \( M g \)
D. \( C u \)
Subject: Chemistry
Among the following, the pair in which the two species are not isostructural is :
\( A \cdot I O_{3}^{-} \) and \( X e O_{3} \)
B \( \cdot P F_{6}^{-} \) and \( S F_{6} \)
\( \mathbf{c} \cdot B H_{4}^{-} \) and \( N H_{4}^{+} \)
D. \( C O_{3}^{2-} \) and \( N O_{2}^{-} \)
Subject: Chemistry
The violet flame shown by potassium in Bunsen flame is due to jumping of the electron from :
\( A \cdot 1 s \operatorname{to} 4 p \)
B. 1s to 5p
\( c \cdot 4 p \operatorname{tos} 4 s \)
D. \( 5 p \) to 4 s
Subject: Physics
A long straight wire is carrying current
\( l_{1}=\frac{2}{5} A \) along \( +z \) direction. The \( x-y \)
plane contains a closed circular loop carrying and not encircling the straight wire, then the force (in newton) on the
loop will be ?
(radius of the circular loop \( \left.\boldsymbol{R}=\frac{3}{4} \boldsymbol{m}\right) \)
A . 0
B. 2
\( c \cdot-1 \)
D.
Subject: Physics
A diatomic molecule is made of two
masses \( m_{1} \) and \( m_{2} \) which are
separated by a distance \( r . \) If we
calculate its rotational energy by applying Bohr's rule of angular momentum,its energy will be given by
\( n \) is an integer)
A \( \cdot \frac{\left(m_{1}+m_{2}\right)^{2} n^{2} h^{2}}{2 m_{1}^{2} m_{2}^{2} r^{2}} \)
В \( \cdot \frac{n^{2} h^{2}}{2\left(m_{1}+m_{2}\right) r^{2}} \)
c. \( \frac{2 n^{2} h^{2}}{\left(m_{1}+m_{2}\right) r^{2}} \)
D. \( \frac{\left(m_{1}+m_{2}\right) n^{2} h^{2}}{2 m_{1} m_{2} r^{2}} \)
Subject: Maths
If \( p, q, r \) have truth values \( T, F, T \) respectively, then which of the following
is True?
A \( \cdot(p \rightarrow q) \wedge r \)
в. \( (p \rightarrow q) \wedge \sim r \)
c. \( (p \wedge q) \wedge(p \vee r) \)
D. \( q \rightarrow(p \wedge r) \)
Subject: Physics
A ray of light falls on the surface of spherical glass paperweight making an angle \( \alpha \) with the normal and is
refracted in the medium at an angle \( \beta \) The angle of deviation of the emergent
ray from the incident ray is
A \( \cdot(\alpha-\beta) \)
B \( \cdot 2(\alpha-\beta) \)
c. \( \frac{(\alpha-\beta)}{2} \)
D \cdot \( (\alpha+\beta) \)
Subject: Physics
\( m_{2}=2 k g \) are connected by an ideal
spring, rest on a rough
horizontal surface. The spring is unstressed. The spring constant of
spring is \( \boldsymbol{K}=\mathbf{2} \boldsymbol{N} / \boldsymbol{m} . \) The coefficient
of friction between blocks and
horizontal surface is \( \mu=\frac{1}{2} . \) Now the
left block is imparted a velocity \( u \)
towards right as shown. The largest
value of \( u(\text { in } m / s) \) such that the block
of mass \( m_{2} \) never moves is (Take \( g= \)
\( \left.10 m / s^{2}\right) \)
A . 10
B. 20
\( c .5 \)
D.
Subject: Maths
Let \( * \) a binary operation on \( \boldsymbol{Q}-\{1\} \)
defined by \( a * b=a+b-a b \) for all
\( \boldsymbol{a}, \boldsymbol{b} \in \boldsymbol{Q}-\{1\} \)
Then, find the identity element in \( Q- \)
\{1\}
Subject: Maths
Factorise the given polynomial:
\( 4 a^{2}-12 a b+9 b^{2}+4 a-6 b \)
A. \( (2 a-3 b)(2 a-3 b+2) \)
B. \( (2 a+3 b)(2 a-3 b+2) \)
c. \( (2 a-3 b)(2 a+3 b-2) \)
D. \( (2 a+3 b)(2 a-3 b-2) \)
Subject: Chemistry
Assertion
For the Daniel cell, \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \)
with \( E_{c e l l}=1.1 V, \) the application of
opposite potential greater than \( 1.1 \mathrm{V} \)
results into flow of electron from
cathode to anode.
Reason
\( Z n \) is deposited at anode, and \( C u \) is
deposited at cathode.
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
An A.C. of \( 50 \mathrm{Hz} \) and \( 1 \mathrm{A} \) peak value flows
in primary coil transformer whose mutual inductance is \( 1.5 \mathrm{H} \). Then peak
value of induced emf in the secondary coil is:
A. \( 150 v \)
B. \( 150 \pi v \)
c. \( 300 \vee \)
D. 200 V
Subject: Maths
Value of \( \tan ^{-1}\left\{\frac{\sin 2-1}{\cos 2}\right\} \) is
A \( \cdot \frac{\pi}{2}-1 \)
B \cdot \( 1-\frac{\pi}{4} \)
c. \( 2-\frac{\pi}{2} \)
D. \( \frac{\pi}{4}-1 \)
Subject: Physics
A circular disk of moment of inertia \( \boldsymbol{I}_{t} \)
is rotating in a horizontal plane, about
its symmetry axis, with a constant
angular speed \( \omega_{i} . \) Another disk of
moment of inertia \( I_{b} \) is dropped co-
axially onto the rotating disk.Initially
the second disk has zero angular
speed.Eventually both the disks rotate
with a constant angular speed \( \omega_{p} . \) The
energy lost by the initially rotating disc
due to friction is
A \( \cdot \frac{1}{2} \frac{I_{b}^{2}}{\left(I_{t}+I_{b}\right)} \omega_{1}^{2} \)
B. \( \frac{I_{t}^{2}}{2\left(I_{t}+I_{b}\right)} \omega_{1}^{2} \)
c. \( \frac{I_{b}-I_{t}}{\left(I_{t}+I_{b}\right)} \omega_{1}^{2} \)
D. \( \frac{1}{2} \frac{I_{b} I_{t}}{\left(I_{t}+I_{b}\right)} \omega_{1}^{2} \)
Subject: Physics
A metal sphere weighing \( 60 g m \) in the air is suspended by a thread in oil of
specific gravity \( 0.6 . \) If the tension in the thread is \( 55 g \) mwt, the specific gravity of the metal sphere is
A . 9.4
в. 4.5
\( c .6 .3 \)
D. 7.2
Subject: Chemistry
An oxide of iodine \( (I=127) \) contains
\( 25.4 \mathrm{g} \) of iodine for \( 8 \mathrm{g} \) of oxygen. Its formula will be :
A \( \cdot I_{2} O_{3} \)
B. \( I_{2} O \)
\( \mathrm{c} \cdot I_{2} O_{5} \)
D. \( I_{2} O_{7} \)
Subject: Physics
A boy fires a gun and another boy at a distance hears the sound of fire 2.5 s
after seeing the flash. If speed of sound
in air is \( 340 m s^{-1}, \) find the distance
between the boys:
\( \mathbf{A} .850 m \)
в. 8500 т
c. \( 1700 m \)
D. none of the above
Subject: Physics
Vertical displacement of a plank with a body of mass 'm' on it is varying according to law \( y=\sin \omega t+\sqrt{3} \cos \omega t \)
The minimum value of \( \omega \) for which the
mass just breaks off the plank and the
moment it occurs first after \( t=0 \) are
given by: ( y is positive vertically upwards)
A \( \cdot \sqrt{\frac{g}{2}}, \frac{\sqrt{2}}{6} \frac{\pi}{\sqrt{g}} \)
В \( \cdot \frac{g}{\sqrt{2}}, \frac{2}{3} \sqrt{\frac{\pi}{g}} \)
c. \( \sqrt{\frac{g}{2}}, \frac{\pi}{3} \sqrt{\frac{2}{g}} \)
D \( \cdot \sqrt{2 g}, \sqrt{\frac{2 \pi}{3 g}} \)
Subject: Maths
If the function \( f \) is continuous at \( x=0 \)
find \( \boldsymbol{f}(\mathbf{0}) \)
where \( \boldsymbol{f}(\boldsymbol{x})=\frac{\cos 3 \boldsymbol{x}-\cos \boldsymbol{x}}{\boldsymbol{x}^{2}}, \boldsymbol{x} \neq \mathbf{0} \)
Subject: Physics
The decay constant of a radioactive
sample is \( \gamma \). Its half-life is \( T_{1 / 2} \) and mean life is \( \boldsymbol{T} \).
\( A \cdot T_{1 / 2}=\frac{1}{\lambda}, T=\frac{I n 2}{\lambda} \)
B・ \( T_{1 / 2}=\frac{I n 2}{\lambda}, T=\frac{1}{\lambda} \)
\( \mathbf{c} \cdot_{T_{1 / 2}=\lambda \operatorname{In} 2, T}=\frac{1}{\lambda} \)
D. \( T_{1 / 2}=\frac{\lambda}{I n 2}, T=\frac{I n 2}{\lambda} \)
Subject: Maths
If \( f(x)=a \log |x|+b x^{2}+x \) has its
extremum values at \( x=-1 \) and \( x=2 \)
then
A \( . a=2, b=-1 \)
в. \( a=2, b=-\frac{1}{2} \)
c. \( a=-2, b=\frac{1}{2} \)
D. None of the above
Subject: Physics
In the figure shown below, the
maximum possible unknown resistance \( (X), \) that can be measured by
the post office box are \( X_{\max } \) is fiven by
\( R \times 10^{5} \Omega, \) then \( R \) is (given that in this
experiment, we can take out only one plug from arm \( A B \) and only one plug from arm BC, but from arm AD we can
take out many plugs):
\( A \)
B.
\( c \)
E. none of thes
Subject: Chemistry
Of the following complex ions, which is diamagnetic in nature?
A \( \cdot\left[N i C l_{4}\right]^{2} \)
B . \( \left[N i(C N)_{4}\right]^{2} \)
\( \mathbf{c} \cdot\left[C u C l_{4}\right]^{2} \)
D. \( \left[\mathrm{CoF}_{6}\right]^{3-} \)
Subject: Maths
Let \( L \) be the set of all lines in a plane
and \( R \) be the relation in \( L \) defined as
\( \boldsymbol{R}=\left\{\left(\boldsymbol{L}_{1}, \boldsymbol{L}_{2}\right): \boldsymbol{L}_{1} \perp \boldsymbol{L}_{2}\right\} . \) Show that \( \boldsymbol{R} \) is
symmetric but neither reflexive nor transitive.
Subject: Maths
For real values of \( x, \) the range of \( \frac{x^{2}+2 x+1}{X^{2}+2 x-1} \)
is
\( \mathbf{A} \cdot(-\infty, 0) \cup(1, \infty) \)
B \( \cdot\left[\frac{1}{2}, 2\right] \)
\( \mathbf{c} \cdot\left[-\infty, \frac{-2}{9}\right] \cup(1, \infty) \)
D. \( (-\infty,-6) \cup(-2, \infty) \)
Subject: Maths
The slope of a line perpendicular to \( \mathbf{5} \boldsymbol{x}+\mathbf{3} \boldsymbol{y}+\mathbf{1}=\mathbf{0} \) is
A \( -\frac{5}{3} \)
в. \( \frac{5}{3} \)
c. \( -\frac{3}{5} \)
D.
Subject: Maths
Using a ruler and compass only.
(i) Construct a \( \triangle A B C \) with the
following data. \( A B=3.5 \mathrm{cm}, B C=6 \mathrm{cm} \) and
\( \angle A B C=120^{\circ} \)
(ii) In the same diagram, draw a circle
with \( B C \) as diameter. Find a point \( P \) on the circumference of the circle which is
equidistant from \( A B \) and \( B C \)
(iii) Measure \( \angle B C P \)
Subject: Physics
A ball moving with a momentum of
5kgm/s strikes against a wall at an
angle of \( 45^{\circ} \) and is reflected at the
same angle. The change in momentum will be \( (\mathrm{kg}-\mathrm{m} / \mathrm{s}): \)
A . 7.07
B. 14.14
c. 8.00
D. 7.5
Subject: Physics
An instantenous displacement of a simple harmonic oscillator is \( \boldsymbol{x}= \)
\( \boldsymbol{A} \cos \left(\boldsymbol{\omega} \boldsymbol{t}+\frac{\pi}{4}\right) . \) Its speed will be
maximum at time:
A \( \cdot \frac{\pi}{4 \omega} \)
в. \( \frac{\pi}{2 \omega} \)
c. \( \frac{\pi}{\omega} \)
D. \( \frac{2 \pi}{\omega} \)
Subject: Chemistry
A drop \( (0.05 \mathrm{mL}) \) of \( 12.0 \mathrm{M} \) HCl is
spread over a sheet of thin aluminium foil. Assuming that the acid dissolves
through the foil, the area is \( x \times \)
\( 10^{-1} \mathrm{cm}^{2} \) of the hole produced, then \( x \)
is :
(Density of \( A l=2.70 g c m^{-3} \)
thickness of the foil \( =0.10 \mathrm{mm} \)
Subject: Physics
According to the Bohr's atomic model, the relation between principal quantum number (n) and radius of orbit(r) is?
\( \mathbf{A} \cdot r \propto n^{2} \)
B. \( r \propto \frac{1}{n^{2}} \)
c. \( _{r} \propto \frac{1}{n} \)
D. \( r \propto n \)
Subject: Physics
A particle moves along the \( x \) -axis from \( x=0 \) to \( x=5 m \) under the influence of
a force given by \( \boldsymbol{F}=\mathbf{7}-\mathbf{2} \boldsymbol{x}+\mathbf{3} \boldsymbol{x}^{2} \boldsymbol{N} \)
The work done in the process is
\( \mathbf{A} \cdot 107 J \)
B. \( 270 J \)
c. \( 100 J \)
D. \( 135 J \)
Subject: Physics
Two wires are made of the same
material and have the same volume.
However wire 1 has cross-sectional area
\( A \) and wire 2 has cross-sectional area
\( 3 A . \) If the length of wire 1 increases by \( \Delta x \) on applying force \( F \), how much force
is needed to stretch wire 2 by the same
amount?
A \( .4 F \)
в. \( 6 F \)
\( \mathrm{c} .9 \mathrm{F} \)
D. \( F \)
Subject: Chemistry
A radioactive element decays by \( \beta \)
emission. If the mass of parent and
daughter nuclide are \( m_{1} \) and \( m_{2} \)
respectively, the energy liberated during the emission is :
A. \( \left[m_{1}-m_{2}-2 m_{e}\right] c^{2} \)
в. \( \left[m_{1}-m_{4}-2 m_{e}\right] c^{1} \)
c. \( \left[m_{1}-m_{1}-3 m_{e}\right] c^{3} \)
D. None of these
Subject: Physics
The potential energy (in joules) of a
particle of mass \( 1 \mathrm{kg} \) moving in a plane
is given by \( U=3 x+4 y, \) the position
coordinates of the point being \( x \) and \( y \) measured in metres. If the particle is at rest at \( (\mathbf{6}, \mathbf{4}), \) then
This question has multiple correct options
A . Its acceleration is of magnitude \( 5 \mathrm{m} / \mathrm{s}^{2} \)
B. its speed when it crosses the y-axis is \( 10 \mathrm{m} / \mathrm{s} \)
c. co-ordinates of particle at \( t=1 \) sec are (4.5,2)
D. the particle has zero acceleration
Subject: Physics
A thin metal disc of radius \( 25 \mathrm{cm} \) and
mass \( 2 \mathrm{kg} \) starts from rest and rolls
down on an inclined plane. If its
rotational kinetic energy is \( 8 J \) at the foot of the inclined plane, then the linear velocity of centre of mass of disc is :
A. \( 2 \mathrm{m} / \mathrm{s} \)
в. \( 4 \mathrm{m} / \mathrm{s} \)
c. \( 6 m / s \)
D. \( 8 m / s \)
Subject: Maths
Let \( X \) and \( Y \) be two events such that
\( P(X)=\frac{1}{3}, P(X / Y)=\frac{1}{2} \) and
\( \boldsymbol{P}(\boldsymbol{Y} / \boldsymbol{X})=\frac{2}{5} \cdot \) Then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot P(X \cup Y)=\frac{2}{5} \)
В \( \cdot P(Y)=\frac{4}{15} \)
\( c \cdot P\left(X^{\prime} \mid Y\right)=\frac{1}{2} \)
D. \( P(X \cap Y)=\frac{1}{5} \)
Subject: Physics
From the circuit shown below, the
maximum and minimum value of zener
diode current are :
\( \mathbf{A} \cdot 6 m A, 5 m A \)
B. \( 14 \mathrm{mA}, 5 \mathrm{mA} \)
\( \mathbf{c} .9 m A, 1 m A \)
D. \( 3 m A, 2 m A \)
Subject: Maths
ff \( f(x)=2 x-3, a=2, l=1 \) and \( \epsilon= \)
0.001 then \( \delta>0 \) satisfying \( 0<\mid x- \)
\( \boldsymbol{a}|<\boldsymbol{\delta},| \boldsymbol{f}(\boldsymbol{x})-\boldsymbol{l} \mid<\boldsymbol{\epsilon}, \) is:
A. 0.005
B. 0.0005
c. 0.001
D. 0.0001
Subject: Maths
Find the number of combinations and
permutations of 4 letters taken from the word \( \boldsymbol{E} \boldsymbol{X} \boldsymbol{A} \boldsymbol{M} \boldsymbol{I} \boldsymbol{N} \boldsymbol{A} \boldsymbol{T} \boldsymbol{I} \boldsymbol{N} \)
Subject: Chemistry
Which of the following statements
is/are correct?
This question has multiple correct options
A. Spontaneous adsorption of gases on solid surface is an exothermic process as entropy decreases during adsorption.
B. Formation of micelles takes place when temperature is below Kraft temperature ( \( T_{k} \) ) and concentration is above critical micelle concentration (CMC)
C. A colloid of \( \mathrm{Fe}(\mathrm{OH})_{3} \) is prepared by adding a little excess (required to completely precipitate \( F e^{3+} \) ion as \( F e(O H)_{3} \) ) of \( N a O H \) in \( F e C l_{3} \) solution. The particles of this sol will move towards cathode during electrophoresis
D. According to Hardy-Schulze rule, the coagulation (flocculating) value of \( F e^{3+} \) ion will be more than \( B a^{2+} \) or \( N a^{+} \)
Subject: Physics
In the circuit shown, the diodes are
ideal. \( A_{1} \) and \( A_{2} \) are ammeters of
resistance \( 5 \Omega \) each. The potentials of
the points \( A, B, C \) and \( D \) are \( V_{A}, V_{B}, V_{C} \)
and \( V_{D} \) respectively. \( \left|\boldsymbol{V}_{\boldsymbol{A}}-\boldsymbol{V}_{\boldsymbol{B}}\right|=\mathbf{1 0} \boldsymbol{V} \)
This question has multiple correct options
A. \( A_{1} \) and \( A_{2} \) will always show the same reading
B. the readings of \( A_{1} \) and \( A_{2} \) will depend on whether \( V_{A}>V_{B} \) or \( V_{A}<V_{B} \)
C. the readings of either of \( A_{1} \) or \( A_{2} \) or both will be \( 1 A \) in all cases
D. If \( V_{A}>V_{B}, A_{1} \) will show no deflection
Subject: Maths
With respect to the figure, write all
pairs of adjacent angles and all the linear pairs.
This question has multiple correct options
A. Adjacent angles: \( \angle A O D \& \angle C O D \)
B. Adjacent angles: \( \angle B O C \& \angle C O D \)
C. Linear pairs: \( \angle A O D \& \angle B O D \)
D. Linear pairs: \( \angle A O C \& \angle B O C \)
Subject: Physics
A sonar device on a submarine sends
out a signal and receives an echo 5 s later. Calculate the speed of sound in water if the distance of the object from the submarine is \( 3625 \mathrm{m} \)
\( A \cdot 1450 \mathrm{m} / \mathrm{s} \)
B. 1650 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 1350 \mathrm{m} / \mathrm{s} \)
D. \( 967 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Three lines are given by \( \vec{r}=\lambda \hat{i}, \lambda \epsilon R \) \( \overrightarrow{\boldsymbol{r}}=\boldsymbol{\mu}(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}), \boldsymbol{n} \boldsymbol{\epsilon} \boldsymbol{R} \) and \( \overrightarrow{\boldsymbol{r}}=\boldsymbol{v}(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+ \)
\( \hat{\boldsymbol{k}}), \boldsymbol{v} \boldsymbol{\epsilon} \boldsymbol{R} \)
Let the lines cut the plane \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}= \)
1 at he points \( A, B \) and \( C \) respectively.
If the area of the triangle \( A B C \) is \( \triangle \)
then the value of \( (6 \triangle)^{2} \) equals
A . 0.75
в. \( 0 . \)
\( c .0 .85 \)
D. 0.65
Subject: Physics
The figure shows a circuit
When the circuit is switched on, the
ammeter reads \( 0.5 A \)
(i) Calculate the value of the unknown
resistor \( \boldsymbol{R} \)
(ii) Calculate the charge passing
through the \( 3 \Omega \) resistor in \( 120 s \)
(iii) Calculate the power dissipated in
the \( 3 \Omega \) resistor.
Subject: Physics
The angle of minimum deviation for
prism of angle \( \pi / 3 \) is \( \pi / 6, \) if the velocity
of light in vacuum is \( 3 \times 10^{8} m s^{-1}, \) then
the velocity of light in material of the prism is
A . \( 2.12 \times 10^{8} \mathrm{ms}^{-1} \)
B. \( 1.12 \times 10^{8} \mathrm{ms}^{-1} \)
c. \( 4.12 \times 10^{8} \mathrm{ms}^{-1} \)
D. \( 5.12 \times 10^{8} \mathrm{ms}^{-1} \)
Subject: Chemistry
Which of the following statement(s) is/are incorrect?
I. Cellulose is a polysaccharide
composed of a large number of \( \beta-D \) glucose units.
II. \( \beta \) -D-glucose units in cellulose are joined by \( \beta \) -glycosidic linkages.
III. Starch is a mixture of amylose and amylopectin.
IV. Amylose is a branched chain
polysaccharide.
V. Amylopectin is a linear polysaccharide.
A . only
B. only III
c. ॥ and III
D. IV and v
Subject: Physics
toppr
Q Type your question
wall consists of teak wood of thickness
\( L_{1} \) and brick of thickness \( \left(L=5 L_{1}\right) \)
sandwitching two layers of an unknown
material with identical thermal
conductivities and thickness. The
thermal conductivity of teak wood is \( \boldsymbol{K}_{\mathbf{1}} \)
and that of brick is \( \left(K_{2}=5 K\right) . \) Heat
conduction through the wall has
reached a steady state with the
temperature of three surfaces being
known. \( \left(T_{1}=, 25^{\circ} C, T_{2}=20^{\circ} C \) and \right.
\( \left.\boldsymbol{T}_{5}=-20^{\circ} \mathrm{C}\right) . \) Find the interface
temperature \( \boldsymbol{T}_{\mathbf{4}} \) and \( \boldsymbol{T}_{\mathbf{3}} \)
A \( \cdot 2.5^{\circ} \)
B \( \cdot 7^{\circ} \)
\( c \cdot 3.5^{\circ} \)
\( D \cdot 9^{\circ} \)
Subject: Physics
If a point lies at a distance \( ^{\prime} x^{\prime} \) from the
mid point of the dipole, the electric potential at this point is proportional to
A \( \cdot \frac{1}{x^{2}} \)
B. \( \frac{1}{x^{3}} \)
c. \( \frac{1}{x^{4}} \)
D. \( \frac{1}{x^{3 / 2}} \)
Subject: Maths
Discuss the applicapibility of Rolle's Theorem to the function \( f(x)=x^{2 / 3} \) in
(-1,1)
A. Yes Rolle's theorem is applicable and the stationary point \( x=0 \)
B. Yes Rolle's theorem is applicable and the stationary point \( x=\frac{1}{2} \)
c. No Rolle's theorem is not applicable in the given interval
D. none of these
Subject: Maths
Find the area of a regular hexagon with side of \( 15 \mathrm{m} \) and apothem is \( 20 \mathrm{m} \)
A \( .910 m^{2} \)
B. \( 920 m^{2} \)
c. \( 900 m^{2} \)
D. \( 901 \mathrm{m}^{2} \)
Subject: Physics
A fan is making 600 rpm. If it makes \( 1200 r p m, \) what is the increase in its angular velocity?
\( \mathbf{A} \cdot 10 \pi r a d s^{-1} \)
B. \( 20 \pi \) rads\( ^{-1} \)
c. \( 60 \pi \) rads\( ^{-1} \)
D. \( 40 \pi \) rads\( ^{-1} \)
Subject: Physics
\( 0.21-H \) inductor and \( a 88-\Omega \) \( \mathbf{A} \)
resistor are connected in series to a
\( 220-V, 50-H z A C \) source. The
current in the circuit and the phase angle between the current and the
source voltage are respectively. Use
\( \boldsymbol{\pi}=\mathbf{2 2} / \mathbf{7} \)
A \( \cdot 2 A, \tan ^{-1} 3 / 4 \)
B. \( 14.4 A, \tan ^{-1} 7 / 8 \)
c. \( 14.4 A, \tan ^{-1} 8 / 7 \)
D. \( 3.28 A, \tan ^{-1} 2 / 11 \)
Subject: Maths
A fraction in reduced form is such that
when it is squared and then its numerator is increased by \( 25 \% \) and the
denominator is reduced to \( 80 \% \) it
results in \( 5 / 8 \) of the original fraction. The product of the numerator and denominator is.
A . 6
B. 12
c. 10
D. 7
Subject: Chemistry
dinitrogen and dioxygen react together
to form different compounds:
Mass of Mass of
dinitrogen
(i)
\[
148
\]
(ii)
\[
148
\]
(iii) \( \quad 28 g \)
(iv)
\[
28 g
\]
\( 80 g \)
(a) Which law of chemical combination
is obeyed by the above experimental data? Give its statement.
(b) Fill in the blanks in the following
conversions:
(i) \( 1 \mathrm{km}= \)
\[
m m=
\]
pm
(ii) \( 1 \mathrm{mg}= \)
\[
-\mathrm{kg}=
\]
(iii) \( 1 \mathrm{mL}= \)
\( \boldsymbol{d} \boldsymbol{m}^{3} \)
Subject: Chemistry
The decreasing value of bond angles
from \( N H_{3}\left(106^{\circ}\right) \) to \( S b H_{3}\left(101^{\circ}\right) \) down
group-15 of the periodic table is due to:
A. decreasing p-orbital character in sp \( ^{3} \)
B. decreasing electronegativity
c. increasing bp-bp repulsion
D. none of the above
Subject: Physics
The mass of a lift is 2000 kg. When the tension in the supporting cable is \( 28000 \mathrm{N}, \) then its acceleration is
A \( \cdot 30 \mathrm{ms}^{-2} \) downwards
B. \( 4 \mathrm{ms}^{-2} \) upwards
c. \( 4 \mathrm{ms}^{-2} \) downwards
D. \( 14 \mathrm{ms}^{-2} \) upwards
Subject: Maths
Find the ratio in which the yz-plane
divides the join of the points (-2,4,7)
and (3,-5,8) and also find the \( c o \)
ordinates of the point of intersection of
this line with the \( y z \) - plane.
A \( \cdot \lambda=\frac{2}{3} \) and \( \left(0, \frac{2}{5}, \frac{37}{5}\right) \)
B. \( \lambda=\frac{1}{3} \) and \( \left(\frac{-3}{4}, \frac{7}{4}, \frac{29}{4}\right) \)
c. \( \lambda=\frac{2}{3} \) and \( \left(\frac{-3}{4}, \frac{7}{4}, \frac{29}{4}\right) \)
D \( \lambda=\frac{1}{3} \) and \( \left(0, \frac{2}{5}, \frac{37}{5}\right) \)
Subject: Physics
A parallel beam of diameter \( d \) is
incident on air-glass interface as shown
in figure. The diameter of refracted light beam is :
\( \left(d=3 m m, \theta=45^{\circ} \text { and } \frac{n_{g l a s s}}{n_{a i r}}=\frac{3}{2}\right) \)
A . \( \sqrt{12} \) mm
B. \( \sqrt{14} \) mm
\( c \cdot \sqrt{6} m m \)
D. \( 4.5 \mathrm{mm} \)
Subject: Physics
The graph drawn between pressure and
temperature at constant volume for a
given mass of different molecular
weights \( M_{1} \) and \( M_{2} \) are the straight lines
as shown in the figure then
\( \mathbf{A} \cdot M_{2}>M_{1} \)
\( \mathbf{B} \cdot M_{1}>M_{2} \)
\( \mathbf{c} \cdot M_{1}=M_{2} \)
\( \mathbf{D} \cdot M_{1}^{3}=M_{2} \)