AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two satellites \( A \) and \( B \) of the same
mass are revolving around the earth in the concentric circular orbits such that
the distance of satellite \( B \) from the
centre of the earth is thrice as
compared to the distance of the
satellite \( A \) from the centre of the earth.
The ratio of the centripetal force acting on \( B \) as compared to that on \( A \) is
A \( \cdot \frac{1}{3} \)
B. 3
c. \( \frac{1}{9} \)
D. \( \frac{1}{\sqrt{3}} \)
Subject: Physics
A conducting sphere of radius \( \mathrm{R} \) is given a charge \( Q . \) The electric potential and the electric field at the centre of the
sphere respectively are :
A \( \cdot \) zero and \( \frac{Q}{4 \pi \epsilon_{0} R^{2}} \)
в. \( \frac{Q}{4 \pi \epsilon_{0} R} \) and zerc
c. \( \frac{Q}{4 \pi \epsilon_{6} R} \) and \( \frac{Q}{4 \pi \epsilon_{0} R^{2}} \)
D. Both are zero
Subject: Maths
The order and degree of
\( \left[\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{2}\right]^{1 / 2}=\frac{d^{3} y}{d x^{3}} \) is:
\( A \cdot 1,2 \)
B. 3,
c. 3,2
D. 2,
Subject: Maths
If \( y=\tan ^{-1}\left(\frac{2 x}{1-x^{2}}\right)+ \)
\( \tan ^{-1}\left(\frac{3 x-x^{3}}{1-3 x^{2}}\right) \)
\( \tan ^{1}\left(\frac{4 x-4 x^{3}}{1-6 x^{2}+x^{4}}\right) \) then Show that
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\mathbf{1}}{\mathbf{1}+\boldsymbol{x}^{2}} \)
Subject: Physics
An experiment in which \( \alpha \) - particles were deflected by a gold foil produced new insights into the structure of the
atom

Which conclusion can be drawn from
the results of the experiment?
A. Atomic nuclei occupy a very small fraction of the volume of an atom
B. Electrons orbit the atomic nucleus
c. Some atoms of the same element contain different numbers of neutrons
D. The atomic nucleus contains protons and neutrons
Subject: Physics
A point charge \( +10 \mu C \) is at a distance
5 \( c m \) directly above the centre of a
square of side \( 10 \mathrm{cm} \), as shown in the
figure. What is the magnitude of the electric flux through the square?
A \( \cdot 1.2 \times 10^{5} \mathrm{Nm}^{2} / \mathrm{C} \)
B . \( 1.9 \times 10^{5} \mathrm{Nm}^{2} / \mathrm{C} \)
c. \( 3.2 \times 10^{5} \mathrm{Nm}^{2} / \mathrm{C} \)
D. \( 4.2 \times 10^{5} \mathrm{Nm}^{2} / \mathrm{C} \)
Subject: Physics
\( n^{\prime} \) cells, each of emf \( ^{\prime} e^{\prime} \) and internal
resistance ' \( r^{\prime} \) are joined in series to
form a row.' \( m^{\prime} \) such rows are
connected in parallel to form a battery of \( \boldsymbol{N}=\boldsymbol{m} \boldsymbol{n} \) cells. This battery is
connected to an external resistance \( ^{\prime} \boldsymbol{R}^{\prime} \)
What is the emf of this battery and how much is its internal resistance?
Subject: Physics
A barometer tube, containing mercury, is lowered in a vessel containing mercury until only \( 50 \mathrm{cm} \) of the tube is
above the level of mercury in the vessel.
If the atmospheric pressure is \( 75 \mathrm{cm} \) of
mercury, what is the pressure at the top of the tube
A. \( 33.3 k P a \)
в. \( 66.7 k P a \)
c . 3.33 M \( P a \)
D. \( 6.67 M P a \)
Subject: Maths
If the median of the data
\( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \boldsymbol{x}_{3}, \boldsymbol{x}_{4}, \boldsymbol{x}_{5}, \boldsymbol{x}_{6}, \boldsymbol{x}_{7}, \boldsymbol{x}_{8} \) is \( \boldsymbol{\alpha} \) and
\( \boldsymbol{x}_{1}<\boldsymbol{x}_{2}<\boldsymbol{x}_{3}<\boldsymbol{x}_{4}<\boldsymbol{x}_{5}<\boldsymbol{x}_{6}<\boldsymbol{x}_{7}< \)
\( x_{8}, \) then the median of \( x_{3}, x_{4}, x_{5}, x_{6} \) is
\( A \cdot \alpha \)
в. \( \frac{\alpha}{2} \)
c. \( \frac{\alpha}{3} \)
D. \( \frac{\alpha}{4} \)
Subject: Physics
Assertion
The energy bands in a solid correspond to the energy levels in an atom.
Reason
An electron in a solid can have only
energies that fall with these energy
bands.
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
Given \( 4 N H_{3}(g)+5 O_{2}(g) \rightarrow \)
\( \mathbf{4} \boldsymbol{N} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
The above reaction is an example of:
(i) displacement reaction
(ii) combination reaction
(iii) redox reaction
(iv) neutralisation reaction
A \( . \) (i) and (iv)
B. (ii) and (iii)
c. (i) and (iii)
D. (iii) and (iv)
Subject: Physics
If the focal lengths of objective and eyelens of a microscope are \( 1.2 \mathrm{cm} \) and \( 3 \mathrm{cm} \) respectively and the object is put \( 1.25 \mathrm{cm} \) away from the objective lens and the final image is formed at infinity, then magnifying power of the microscope is
A . 150
B. 200
c. 250
D. 400
Subject: Physics
toppr 유데
Q Type your question-
straight line as shown in the image. He
now puts a candle in front of the first
cardboard piece and looks at it from
behind the third piece. He is able to see
the candle. He puts the third cardboard piece aside and now tries to look at the
candle. But this time, he is not able to
see it.
What can be concluded from this
experiment?
A. The visibility of candle depends on the position of candle with respect to Rajesh
B. The visibility of candle depends on the position of Rajesh
C. The visibility of candle depends on the relative alignment of 3 cardboards
D. The candle is visible only when the 3 cardboards are in a line because light from the candle travels only in a straight line, to reach Rajesh's eyes
Subject: Biology
The amount of DNA in a mammalian
cell in early prophase I is \( x \)
What is the amount of DNA in the same
cell in anaphase I of meiosis?
A \( \cdot \frac{x}{4} \)
в. \( \frac{x}{2} \)
\( c \cdot x \)
D. \( 2 x \)
Subject: Physics
Ordinary light passes through two polarizing filters. The filters have been rotated so that their polarizing axes are
oriented at \( 90^{\circ} \) to each other, and no
light gets through both of them. By adding a third polarizing filter so that there are three in a row, how might
one cause light to pass through the three filters?
A. Orient the third filter so that its polarizing axis is
in front of the first
B. Orient the third filter so that its polarizing axis is rotated \( 45^{\circ} \) counter-clockwise relative to the seconds and place it in back of the second
C. Orient the third filter so that its polarizing axis is rotated \( 45^{\circ} \) clockwise relative to the first and place it in between the two filters
D. Orient the third filter so that its polarizing axis is rotated \( 90^{\circ} \) clockwise relative to the first and place it in front of the first
E. Both A and B will work to allow light through
Subject: Chemistry
In which one of the following compounds of xenon, highest number of lone pair of electrons is present in
xenon?
A. \( X e F_{6} \)
в. \( X e F_{4} \)
\( \mathrm{c} . \mathrm{XeOF}_{4} \)
D. \( X e O_{3} \)
E . \( X e F_{2} \)
Subject: Maths
If direction cosines of two lines are
proportional to (2,3,-6) and (3,-4,5) then the acute angle between them is
\( ^{\mathbf{A}} \cdot \cos ^{-1}\left(\frac{49}{36}\right) \)
B. \( \cos ^{-1}\left(\frac{18 \sqrt{2}}{35}\right) \)
\( c \cdot 96^{\circ} \)
D. \( \cos ^{-1}\left(\frac{18}{35}\right) \)
Subject: Maths
The set for which \( 2 \cos ^{-1} x= \)
\( \cos ^{-1}\left(2 x^{2}-1\right) \) is valid is
\( \mathbf{A} \cdot x \in[0,1] \)
B \( \cdot x \in(0,1) \)
\( \mathbf{c} \cdot x \in[0,1) \)
D. \( x \in(0,1] \)
Subject: Physics
An open box of height \( 1 m \) is placed near
a \( 2 m \) high table as shown. Marble
rolling on the table leaves the table and
are collected in the box \( u_{\max } \) and \( u_{\text {min }} \)
are the minimum and maximum values
of velocity of marbles to fall into the box.
Find the value of \( u_{\max }-u_{\min }(\text { in } \boldsymbol{m} / \boldsymbol{s}) \)
Subject: Maths
Find the direction angle of the vector \( \boldsymbol{v}=\mathbf{2}\left(\cos \mathbf{3 0}^{o} \hat{\boldsymbol{i}}+\sin \mathbf{3 0}^{\boldsymbol{o}} \hat{\boldsymbol{j}}\right) \)
A \( .90^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 0^{\circ} \)
Subject: Physics
Electrons accelerated from rest by an electrostatic potential are collimated and sent through a Young's double slit setup. The figure width is w. If the accelerating potential is doubled then the width is now close to.
\( \mathbf{A} \cdot 0.5 \mathrm{w} \)
в. 0.7 w
c. \( 1.0 \mathrm{w} \)
D. 2.0 w
Subject: Maths
Let \( U=R( \) the set of all real numbers ) If
\( A=\{x: x \in R, 0<x<2\}, B= \)
\( \{x: x \in R, 1<x \leq 3\} \), then
A. \( A \cup B=\{x: x \in R \text { and } 0<x \leq 3\} \)
B. \( A \cap B=\{x: x \in R \text { and } 1<x<2\} \)
c. \( A-B=\{x: x \in R \text { and } 0<x \leq 1\} \)
D. all of these
Subject: Physics
A mass of \( 5 \mathrm{kg} \) is suspended on a spring of stiffness \( 4000 \mathrm{N} / \mathrm{m} \). The system is fitted with a damper with a damping ratio of 0.2. The mass is pulled down 50 \( \mathrm{mm} \) and released. Calculate the
displacement after 0.3 sec:
\( \mathbf{A} \cdot 4.07 \mathrm{mm} \)
в. \( 4.7 \mathrm{mm} \)
\( c .7 .4 \mathrm{mm} \)
D. 7.04 mm
Subject: Chemistry
\( M^{-2} \) configure is \( 1 s^{2} 2 s^{2} 2 p^{6}, \) then
\( M^{+2} \) configuration will be :
A \( \cdot 1 s^{2} \)
B. \( 1 s^{2} 2 s^{2} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{2} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{4} \)
Subject: Physics
Three concentric spherical metallic shells \( A, B \) and \( C \) of radii \( a, b \) and \( c(c>b \)
a) have charge densities \( \sigma,-\sigma \) and \( \sigma \) respectively.The potential of shell B is :
A \( \cdot(a+b+c) \frac{\sigma}{\varepsilon_{0}} \)
B \( \cdot\left(\frac{a^{2}}{b}-b+c\right) \frac{\sigma}{\varepsilon_{0}} \)
\( ^{\mathbf{c}} \cdot\left(\frac{a^{2}}{c}-\frac{b^{2}}{c}+c\right) \frac{\sigma}{\varepsilon_{0}} \)
D. \( \frac{\sigma c}{\varepsilon_{0}} \)
Subject: Physics
A small ring of mass \( \mathrm{m} \) is connected with a particle of same mass by an ideal string and the whole system is released as shown in figure. Coefficient of friction between ring \( A \) and wire is
\( 3 / 5 . \) If ring A starts sliding when connecting string makes an angle \( \theta \) with the vertical. This angle \( \theta \) is (particle is free to move and ring can slide only):
A .30
в. 45
\( c .60 \)
D. None of these
Subject: Chemistry
9650 charge is passed through an aqueous solution of metal nitrate \( \mathrm{M}(\mathrm{N} \mathrm{O} \)
\( 3 x \) to obtain 2 g metal (at. mass 180 ). What is the valence of metal?
A. 7
B. 3
\( c \cdot 4 \)
\( D \cdot 9 \)
Subject: Maths
Verify Rolle's theorem the function \( f(x)=x^{3}-4 x \) on \( [-2,2] . \) If you think
it is applicable in the given interval then find the stationary point?
A. Yes Rolle's theorem is applicable and stationary point is \( x=\pm \frac{2}{\sqrt{3}} \)
B. No Rolle's theorem is not applicable
c. yes Rolle's theorem is applicable and \( x=2 \) or -2
D. none of these
Subject: Chemistry
Assertion
The molecules of the dissolved gas
present in a liquid gain kinetic energy as temperature is raised.
Reason
Gases tends to be more soluble in
liquids as the temperature is raised.
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
The freezing point of \( 1 \% \) of lead nitrate solution in water will be:
\( \mathbf{A} \cdot 2^{\circ} C \)
B. \( 1^{\circ} \mathrm{C} \)
\( c \cdot 0^{\circ} C \)
D. below \( 0^{\circ} C \)
Subject: Chemistry
0.0833 moles of the carbohydrate contain 1.0 g hydrogen. If the molecular
formula of the carbohydrate is \( C_{x} H_{y} O_{z} \) then the value of \( x, y \) and \( z \) are :
A. \( x=6, y=12, z=6 \)
в. \( x=4, y=8, z=4 \)
c. \( x=5, y=10, z=6 \)
D. none of these
Subject: Maths
For \( k=\frac{1}{\sqrt{50}}, \) find \( a, b, c \) such that \( \boldsymbol{P P}^{T}=\boldsymbol{I} \) where, \( \boldsymbol{P}=\left[\begin{array}{ccc}\frac{2}{3} & \boldsymbol{3} \boldsymbol{k} & \boldsymbol{a} \\ -\frac{1}{3} & -\boldsymbol{4} \boldsymbol{k} & \boldsymbol{b} \\ \frac{2}{3} & -\boldsymbol{5} \boldsymbol{k} & \boldsymbol{c}\end{array}\right] \)
A \( \cdot a=\pm \frac{13}{15 \sqrt{2}}, b=\pm \frac{16}{15 \sqrt{2}}, c=\frac{1}{3 \sqrt{2}} \)
в. \( a=\pm \frac{13}{15 \sqrt{2}}, b=\pm \frac{16}{15 \sqrt{2}}, c=\pm \frac{1}{15 \sqrt{2}} \)
c. \( a=\pm \frac{13}{15 \sqrt{2}}, b=\pm \frac{16}{15 \sqrt{2}}, c=\pm \frac{1}{3 \sqrt{2}} \)
D. None of these
Subject: Chemistry
The amines are basic in nature, hence
they form salts with a hydrochloric acid. Which of the following will be insoluble
in dil. \( \boldsymbol{H} \boldsymbol{C l} \) ?
A. \( C_{6} H_{5} N H_{2} \)
в. \( \left(C_{6} H_{5}\right)_{3} N \)
c. \( C_{2} H_{5} N H_{2} \)
D. \( C H_{3} N H C H_{3} \)
Subject: Physics
A goldfish swims through an aquarium by moving its fins and tail. What causes the fish to move forward?
I. The force exerted by the water on the goldfish
II. The force exerted by the tail of the goldfish on the water
III. The force exerted by the fins of the goldfish on the water
A . Ionly
B. II only
c. I and III only
D. II and III only
E. I, II, and III
Subject: Maths
Which rational expression should be added to \( \frac{x-x^{2}+2}{x\left(x^{2}-1\right)} \) to get \( \frac{x+1}{x^{2}-1} ? \)
A \( \cdot \frac{x}{2} \)
B. \( \frac{2}{x} \)
c. \( 2 x \)
D. \( x^{2} \)
Subject: Physics
Which of the following equation does
not represent a SHM?
\( \mathbf{A} \cdot \cos \omega t+\sin \omega t \)
\( \mathbf{B} \cdot \sin \omega t-\cos \omega t \)
c. \( 1-\sin 2 \omega t \)
\( \mathbf{D} \cdot \sin \omega t+\cos (\omega t+\alpha) \)
Subject: Maths
In a class test (+3) marks are given for
every correct answer and (-2) marks are given for every incorrect answer and
no marks for not attempting any
question.
(i) Radhika scored 20 marks.
If she has got 12 correct answers, how
many questions has she attempted incorrectly?
(ii) Mohini scores (-5) marks in this test, though she has got 7
correct answers How many questions has she attempted incorrectly.
Subject: Maths
To construct a triangle similar to given \( \Delta A B C \) with its sides \( \frac{3}{5} \) of that of \( \Delta A B C, \) a ray \( B X \) is drawn at acute
angle with \( B C . \) If we mark points
\( B_{1}, B_{2}, B_{3}, \dots . \) at equal distances from
\( B \) along \( B X, \) then point to be joined in
next step is?
A. \( B_{3} \)
в. \( B_{4} \)
\( c \cdot B_{5} \)
D. \( B_{6} \)
Subject: Physics
AB ia a potentiate wire of length \( 100 \mathrm{cm} \)
and is resistance is \( 10 \Omega \). It is connected
in series with a resistance \( \boldsymbol{R}=\mathbf{4 0 \Omega} \)
and a battery of emf \( 2 \mathrm{V} \) and negligible
internal resistance. If a source of
unknown potentiate wire, the value of \( \mathrm{E} \)
is:
\( A \cdot 0.8 V \)
B. \( 1.6 v \)
c. \( 0.06 \mathrm{v} \)
D. \( 0.16 \mathrm{v} \)
Subject: Physics
If wave length changes by \( \Delta \lambda \) then change in magnitude of propagation vector is
\( A \cdot \Delta k \)
B . \( 2 \pi \Delta \lambda \)
c. \( \frac{2 \pi}{\lambda} \Delta \lambda \)
D. \( \frac{2 \pi}{\lambda^{2}} \Delta \lambda \)
Subject: Chemistry
When \( 1 \% \) of \( C_{2} H_{5} O H \) is added to
\( C H C l_{3}, \) the phosgene present in
chloroform is converted to:
A. \( C H_{3} C O O C_{2} H_{5} \)
в. \( C H_{3} \) СОСН\( _{3} \)
c. \( \left(C H_{3} C H_{2} O\right)_{2} C O \)
D. \( C H_{3} \) СООН
Subject: Maths
Find solution of following inequality
also show it graphically.
\[
\boldsymbol{x}+\mathbf{3}<\mathbf{5}, \boldsymbol{x} \in \boldsymbol{R}
\]
\( A \)
\begin{tabular}{lllllllll}
\hline-3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6
\end{tabular}
B.
\( c \)
\begin{tabular}{llllll}
\hline & & & & & & \\
-2 & -1 & 0 & 1 & 2 & 3 \\
\hline & & & & & & \\
& & & & & & \\
\hline-2 & -1 & 0 & 1 & 2 & 3
\end{tabular}
D. \begin{tabular}{cccccc}
\hline & 1 & & & & \\
-2 & -1 & 0 & 1 & 2 & 3
\end{tabular}
Subject: Physics
A tangential force of \( 2100 N \) is applied
on a surface of area \( 3 \times 10^{-6} m^{2} \) which
is \( 0.1 m \) from a fixed face. The force
produces a shift of \( 7 \mathrm{mm} \) of upper surface with respect to bottom. Th4n
the modulus of rigidity of the material.
В. \( 5 \times 10^{10} \mathrm{Nm}^{-2} \)
c. \( 15 \times 10^{10} N m^{-2} \)
D. \( 1 \times 10^{10} \mathrm{Nm}^{-2} \)
Subject: Maths
Fill in the blanks with \( >,< \) or \( = \)
(i) \( 22 \times(-36)+(-42) \div(-3) \square 9 \times \)
\( 56 \times(-8) \)
(ii) \( 26-22+21 \div(-7) \square 43-11-13 \)
(iii) \( (-16) \div[(-13)+(-3)] \square 12 \div \)
\( [(-3)-0] \)
\( A \cdot(i)->,(\text { ii) }-<, \text { (iii) }-= \)
B. (i)-<, (ii)-<, (iii)->
\( c \cdot(i)->,(\text { ii) }-<, \text { (iii) }-> \)
D. (i)-=, (ii)->, (iii)-
Subject: Physics
According to Newton's formula, the speed of sound in air at STP is:
(Take the mass of 1 mole of are is \( 29 \times \)
\( \left.10^{-3} k g\right) \)
\( \mathbf{A} \cdot 250 m s^{-1} \)
B . \( 260 \mathrm{m} \mathrm{s}^{-1} \)
c. \( 270 m s^{-1} \)
D. \( 280 \mathrm{m} \mathrm{s}^{-1} \)
Subject: Physics
Let \( l_{1} \) and \( l_{2} \) be the moment of inertia of
a uniform square plate about axes APC
and OPO' respectively as shown in the figure. \( P \) is centre of square. The ratio \( \frac{I_{1}}{I_{2}} \) of moment of inertia is :
A \( \cdot \frac{1}{\sqrt{2}} \)
B. 2
\( c \cdot \frac{1}{2} \)
D.
Subject: Maths
The value of \( \left|\begin{array}{llll}\boldsymbol{p} & \boldsymbol{0} & \boldsymbol{0} & \boldsymbol{0} \\ \boldsymbol{a} & \boldsymbol{q} & \boldsymbol{0} & \boldsymbol{0} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{r} & \boldsymbol{0} \\ \boldsymbol{d} & \boldsymbol{e} & \boldsymbol{f} & \boldsymbol{s}\end{array}\right| \) is
\( A \cdot p+q+r+s \)
B.
\( c \cdot a b+c d+e f \)
D. pqrs
Subject: Chemistry
\( 20 \mathrm{ml} \) of a gaseous hydrocarbon required \( 400 \mathrm{ml} \) of air for complete combustion. The air contains \( 20 \% \) by volume of oxygen. The volume of the gaseous mixture after explosion and cooling was found to be \( 380 \mathrm{ml} \)
Volume of residual nitrogen is
A. 300 \( \mathrm{ml} \)
B. 310 m1
c. \( 320 \mathrm{ml} \)
D. 330 m1
Subject: Chemistry
In which of the following species,
the inter-atomic bond angle is \( 109^{\circ} 28^{\prime} ? \)
A \( . N H_{4}^{+},\left(B F_{4}\right) \)
B . \( \left(N H_{4}\right)^{+}, B F_{3} \)
c. \( N H_{3}, B F_{4} \)
D. \( \left(N H_{2}\right)^{-}, B F_{3} \)
Subject: Physics
Equivalent resistance between point \( \mathbf{A} \)
and \( \mathrm{B} \) in the combination of resistance
shown is
\( \mathbf{A} \cdot 7 / 5 \Omega \)
B . \( 13 / 5 \Omega \)
c. \( 9 / 8 \Omega \)
D. \( 7 / 13 \Omega \)
Subject: Maths
The value of \( \left(1+\tan ^{2} \theta\right) \sin ^{2} \theta \) is
\( \mathbf{A} \cdot \sin ^{2} \theta \)
B. \( \cos ^{2} \theta \)
\( \mathbf{c} \cdot \tan ^{2} \theta \)
\( D \cdot \cot ^{2} \theta \)
Subject: Physics
Assertion:PV/T=constant for 1 mole of gas.
This constant is same for all gases.
Reason: 1 mole of different gases at \( \mathrm{NTP} \)
Occupy same volume of 22.4 litres.
A. Both assertion (A) and reason (R) are correct and R gives the correct explanation
B. Both assertion (A) and reason (R) are correct but R doesnt give the correct explanation
C. A is true but R is false
D. A is false but R is true
Subject: Chemistry
Starch is:
\( \mathbf{A} \cdot C_{12} H_{22} O_{11} \)
B. \( C_{6} H_{10} O_{5} \)
\( \mathbf{c} \cdot\left(C_{6} H_{10} O_{5}\right)_{n} \)
\( \mathbf{D} \cdot\left(C_{6} H_{12} O_{6}\right)_{n} \)
Subject: Maths
The equation of the common normal at the point of contact of the curves \( x^{2}=y \)
and \( x^{2}+y^{2}-8 y=0 \)
A \( . x=y \)
B. \( x=0 \)
\( \mathbf{c} \cdot y=0 \)
D. \( x+y=0 \)
Subject: Chemistry
Which of the following has maximum ionization energy?
A \( \cdot B a \rightarrow B a^{+}+e^{-} \)
B. \( B e \rightarrow B e^{+}+e^{-} \)
c. \( C a \rightarrow C a^{2+}+2 e^{-} \)
D. \( M g \rightarrow M g^{2+}+2 e^{-} \)
Subject: Maths
Negation of "A is in Class \( X^{t h} \) or \( \mathrm{B} \) is in
\( X I I^{t h \prime \prime} \) is
A. A is not in class \( X^{t h} \) but \( B \) is in \( X I I^{t h}^{h} \)
C. Either A is not in class \( X^{t h} \) or \( B \) is not in \( X I I^{t^{t}} \)
D. None of these.
Subject: Physics
A physical quantity \( x \) can be dimensionally represented in terms of \( M, L \) and \( T \) that is \( x=M^{a} L^{b} T^{c} . \) The
quantity time
A. may be dimensionally represented in terms of \( x, M \) and \( L \) if \( c \neq 0 \)
B. may be dimensionally represented in terms of \( x, M \) and \( L \) if \( c=0 \)
c. may be dimensionally represented in terms of \( x, M \) and \( L \), irrespective of value of \( c \)
D. can never be dimensionally represented in terms of \( x, M \) and \( L \)
Subject: Maths
\( \begin{array}{cc}\boldsymbol{x} & \boldsymbol{f}(\boldsymbol{x}) \\ 1 & 1 \\ 2 & 3 \\ 3 & 5 \\ 4 & 7 \\ 5 & 9 \\ 6 & 11\end{array} \) For the function in the table above,
calculate \( \boldsymbol{f}(\boldsymbol{3}) \)
A . 5
B. 4
\( c .3 \)
D. 6
Subject: Chemistry
Acidified solution of chromic acid on
treatment with \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) yield:
\( A \cdot C r O_{3}+H_{2} O+O_{2} \)
в. \( C r_{2} O_{3}+H_{2} O+O_{2} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{5}+\mathrm{H}_{2} \mathrm{O} \)
D. \( H_{2} C r_{2} O_{7}+H_{2} O+O_{2} \)
Subject: Maths
Assertion
The variance of the series \( \boldsymbol{a}, \boldsymbol{a}+\boldsymbol{d}, \boldsymbol{a}+ \)
\( \mathbf{2} \boldsymbol{d}, \boldsymbol{a}+\mathbf{3} \boldsymbol{d}, \ldots \boldsymbol{a}+\boldsymbol{2 n d} \) is \( \frac{\boldsymbol{n}(\boldsymbol{n}+\mathbf{1})}{\mathbf{3}} \boldsymbol{d}^{2} \)
Reason
The sum and the sum of squares of first
\( n \) natural numbers \( \frac{n(n+1)}{2} \) and \( \frac{n(n+1)(2 n+1)}{6} \) respectively
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
In Wheat stones bridge shown in the
figure, galvanometer gives no deflection
on pressing the key. The balance
condition for the bridge is :
A \( \cdot \frac{R_{1}}{R_{2}}=\frac{C_{1}}{C_{2}} \)
B. \( \frac{R_{1}}{R_{2}}=\frac{C_{2}}{C_{1}} \)
c. \( \frac{R_{1}}{R_{1}+R_{2}}=\frac{C_{1}}{C_{1}-C_{2}} \)
D. \( \frac{R_{1}}{R_{1}-R_{2}}=\frac{C_{1}}{C_{1}+C_{2}} \)
Subject: Physics
A satellite has a kinetic energy \( X \) potential energy \( Y \) and total energy \( z \) in a given orbit. How are they related
A. \( Z=Y=-2 X \)
в. \( Z=Y / 2=-X \)
c. \( Z=2 Y=-2 X \)
D. \( 2 Z=Y=-2 X \)
\( X \)
Subject: Chemistry
Ammonia evolved from the treatment of
\( 0.30 \mathrm{g} \) of an organic compound for the estimation of nitrogen was passed in 100 mL of 0.1 M sulphuric acid. The excess of acid required \( 20 \mathrm{mL} \) of \( 0.5 \mathrm{M} \) sodium hydroxide solution for complete neutralization. The organic compound is:
A. thiourea
B. benzamide
c. urea
D. acetamide
Subject: Physics
A Ge specimen is doped with \( A l \). The
concentration of acceptor atoms is \( \sim \) \( 10^{21} \) atoms \( / m^{3} . \) Given that the intrinsic
concentration of electron-hole pairs is \( \sim 10^{19} / m^{3}, \) the concentration of
electrons in the specimen is
\( \mathbf{A} \cdot 10^{17} / m^{3} \)
B . \( 10^{15} / m^{3} \)
c. \( 10^{4} / m^{3} \)
D. \( 10^{2} / m^{3} \)
Subject: Maths
If \( A \) and \( B \) are two mutually exclusive
events, then
This question has multiple correct options
\( \mathbf{A} \cdot P(A) \leq P(\bar{B}) \)
B \( . P(\bar{A} \cap \bar{B})=P(\bar{A})-P(B) \)
\( \mathbf{c} \cdot P(\bar{A} \cup \bar{B})=0 \)
D . \( P(\bar{A} \cap B)=P(B) \)
Subject: Chemistry
The value of \( n \) in the equation, \( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-}+\mathbf{1 4} \boldsymbol{H}^{+}+\boldsymbol{n} \boldsymbol{e}^{-} \rightarrow \boldsymbol{2} \boldsymbol{C r}^{\boldsymbol{3}+}+ \)
\( \mathbf{7} H_{2} O \) is:
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 6