AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A rope ladder with a length \( l \) metres
carrying a man with a mass \( m \) at its
end is attached to the basket of
a balloon with a mass \( M \). The entire
system is in equilibrium in the air. As the man climbs up the ladder into the balloon, the balloon descends by a height h. In this case, the potential energy of the balloon:
A. decreases by \( m g h \)
B. increases by \( m g h \)
c. increases by \( m g(l-h) \)
D. increases by \( m g l \)
Subject: Maths
The charge \( q \) on a plate of a condenser
of capacity \( C \) charged through a
resistance \( \boldsymbol{R} \) by a steady voltage \( \boldsymbol{V} \) satisfies the differential equation \( R \frac{d q}{d t}+\frac{q}{c}=V . \) If \( q=0 \) at \( t=0 \) then the
expression for the charge on the condenser is?
A \( \cdot q=C V\left(1-\cos \frac{-t}{R C}\right) \)
В \cdot \( q=C V\left(1-\sin \frac{-t}{R C}\right) \)
c. \( q=C V\left(1-e^{-t / R C}\right. \)
D・ \( q=C V\left(1-\cot \frac{-t}{R C}\right) \)
Subject: Maths
The domain of \( f(x)=\sqrt{\log _{x^{2}-1}(x) \text { is }} \)
\( \mathbf{A} \cdot(\sqrt{2},+\infty) \)
B. \( (0,+\infty) \)
\( c \cdot(1,+\infty) \)
D. none of these
Subject: Physics
In each fission of \( _{92}^{235} \mathrm{U}, 200 \mathrm{MeV} \) energy is released. How many fissions must occur per second to produce power of \( \mathbf{1} k W ? \)
A \( \cdot 1.25 \times 10^{18} \)
В. \( 3.125 \times 10^{13} \)
C \( .3 .2 \times 10^{18} \)
D. \( 1.25 \times 10^{13} \)
Subject: Chemistry
The equilibrium constant for the
reaction \( \boldsymbol{H}_{2(g)}+\boldsymbol{C l}_{2(g)} \Leftrightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}_{(g)} \) is
\( K p, \) at the given temperature. Find out the equilibrium constant for the reaction \( \boldsymbol{H} \boldsymbol{C l}_{(\boldsymbol{g})} \Leftrightarrow \frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{H}_{\mathbf{2}(\boldsymbol{g})}+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{C} \boldsymbol{l}_{2} \)
A \( \cdot \frac{1}{K_{p}^{2}} \)
в. \( K_{p}^{2} \)
c. \( \frac{1}{\sqrt{K_{p}}} \)
D. \( \sqrt{K_{p}} \)
E . \( K_{p}^{3} \)
Subject: Chemistry
Q Type your question
order
(a) \( 2 p_{y} \) orbitals of each oxygen atom overlap laterally/sidewise to form a pi
bond.
(b) Thus, a double bond between two
oxygen atoms in which one \( p_{z}-p_{z} \)
sigma bond and \( \mathrm{p}_{y}-\mathrm{p}_{y} \pi \) bond is
formed.
(c) All the three \( 2 p \) orbitals are
perpendicular to each other. Hence \( 2 p_{z} \)
orbitals of each oxygen atom overlap end to end to form a sigma bond.
(d) The electronic configuration of oxygen is \( O: 1 s^{2} 2 s^{2} 2 p_{x}^{1} 2 p_{y}^{2} 2 p_{z}^{1} \)
A \( \cdot c a d b \)
B. \( d c a b \)
\( c \cdot c d b a \)
\( D \)
Subject: Physics
toppr
Q Type your question
current which is then converted into a
digital readout on the display. The electric circuit gives a current of
2.0 mA when a weight of 30N is applied,
and a current of \( 0.5 \mathrm{mA} \) when a weight of \( 5 \mathrm{N} \) is applied

Which calibration curve could represent
this circuit?
\( A \)
B.
\( c \)
\( D \)
Subject: Chemistry
In a 0.2 molal aqueous solution of a weak acid HX, the degree of ionization
is \( 0.3 . \) taking \( K_{f} \) for water as \( 1.85, \) the freezing point of the solution will be
nearest to:
A. -0.360
B. -0.260
c. +0.480
D. -0.481
Subject: Physics
Consider a thin spherical shell of radius R with its center at the origin, carrying uniform positive surface charge density. The variation of the magnitude
of the electric field and the electric
potential \( V(r) \) with the distance \( r \) from the center, is best represented by which
\( \operatorname{graph} \)
\( A \cdot A \)
B. B
\( c . c \)
\( D \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & -2 & 4 \\ 2 & 3 & 2 \\ 3 & 1 & 5\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{ccc}\mathbf{0} & -\mathbf{2} & \mathbf{4} \\ \mathbf{1} & \mathbf{3} & \mathbf{2} \\ \mathbf{- 1} & \mathbf{1} & \mathbf{5}\end{array}\right], \) then \( \boldsymbol{A}+\boldsymbol{B} \) is
\( ^{A} \cdot\left[\begin{array}{ccc}1 & -2 & 4 \\ 3 & 3 & 2 \\ 2 & 1 & 5\end{array}\right] \)
B. \( \left[\begin{array}{lll}1 & -2 & 8 \\ 3 & 3 & 4 \\ 2 & 1 & 10\end{array}\right] \)
C \( \cdot\left[\begin{array}{lll}1 & -4 & 8 \\ 3 & 6 & 4 \\ 2 & 2 & 10\end{array}\right] \)
D. none of these
Subject: Maths
\( \boldsymbol{p}: \) He is hard working.
\( \boldsymbol{q}: \) He will win
The symbolic form of "If he will not win then he is not hard working", is
\( \mathbf{A} \cdot p \Rightarrow q \)
в. \( (\sim p) \Rightarrow(\sim q) \)
c. \( (\sim q) \Rightarrow(\sim p) \)
D. \( (\sim q) \Rightarrow p \)
Subject: Maths
Evaluate \( \int \frac{d x}{\sqrt{x}(1+\sqrt{x})} \)
A \( \cdot \log (1+x)+c \)
B. \( 2 \log (x)+c \)
c. \( 6 \log (1+\sqrt{x^{2}})+c \)
D. \( 2 \log (1+\sqrt{x})+c \)
Subject: Physics
In a closed tube when air column is 20
\( \mathrm{cm} \) it is in resonance with tuning fork \( \mathrm{A} \) When the length is increased by \( 2 \mathrm{cm} \) then the air column is in resonance with
tuning fork B. When A and B are sounded together they produce 8 beats per second. The frequencies of the tuning forks \( A \) and \( B \) are \( (\text { in } H z): \)
\( A \cdot 40,44 \)
B. 88, 80
\( c \cdot 80,88 \)
D. 44,40
Subject: Chemistry
A \( 0.60 g \) sample consisting of only
\( C a C_{2} O_{4} \) and \( M g C_{2} O_{4} \) is heated at
\( 500^{\circ} \mathrm{C}, \) converting the two salts of
\( C a C O_{3} \) and \( M g C O_{3} . \) The sample then, weighs \( 0.465 g . \) If the sample had been
heated to \( 900^{\circ} \mathrm{C} \), where the products
are \( C a O \) and \( M g O, \) what would
the mixtures of oxides have weighed?
\( \mathbf{A} \cdot 0.12 g \)
B. \( 0.21 g \)
c. \( 0.252 g \)
D. \( 0.3 g \)
Subject: Physics
Consider the situation of figure. The
work done in taking a point charge from
\( P \) to \( A \) is \( W_{A}, \) from \( P \) to \( B \) is \( W_{B} \) and from
\( P \) to \( C \) is \( W_{C} . \) Then :
\( \mathbf{A} \cdot W_{A}<W_{B}<W_{C} \)
\( \mathbf{B} \cdot W_{A}>W_{B}>W_{C} \)
\( \mathbf{c} \cdot W_{A}=W_{B}=W_{C} \)
D. None of these
Subject: Physics
Two particles one with constant velocity
\( 50 m / s \) and the other with uniform
acceleration \( 10 \mathrm{m} / \mathrm{s}^{2}, \) start moving simultaneously from the same place in the same direction. They will be at a distance of \( 125 \mathrm{m} \) from each other after
A . 5 sec
B. \( 5(1+\sqrt{2}) \) sec
c. 10 sec
D. \( 10(\sqrt{2}+1) \) sec
Subject: Chemistry
If same quantity of electricity is passed
through \( C u C l \) and \( C u S O_{4}, \) the ratio of
the weights of \( C u \) deposited from
\( C u S O_{4} \) and \( C u C l \) is :
A .2: 1
B. 1: 2
c. 1: 1
D. 4: 1
Subject: Physics
If both the dipoles are free to rotate
about the axes, perpendicular to the plane xoy and passing through 0 and \( A \) respectively, then they will orient themselves such that
A \( \cdot \vec{p}_{1} \) is at right angles to \( \vec{p}_{2} \)
B. both \( \vec{p}_{1} \) and \( \vec{p}_{2} \) are along \( \overrightarrow{O A} \)
c. \( \overrightarrow{p_{1}} \) is parallel to \( \vec{p}_{2} \)
D. \( \overrightarrow{p_{1}} \) is antiparallel to \( \overrightarrow{p_{2}} \)
Subject: Physics
The energy density in a parallel plate capacitor is given as \( 1.8 \times 10^{-9} J / m^{3} \)
The value of the electric field in the
region between the plates is :
\( \left(\epsilon_{0}=9 \times 10^{-12}\right) \)
\( \mathbf{A} \cdot 6.6 N C^{-1} \)
B. \( 20 N C^{-1} \)
\( \mathbf{c} \cdot 66 N C^{-1} \)
D. \( 2 N C^{-1} \)
Subject: Physics
Incident parallel rays make an angle \( 5^{\circ} \)
with the axis of a diverging lens of focal
length \( 20 \mathrm{cm} . \) Then image will be :
\( \left(\tan 5^{\circ}=0.0875\right) \)
A. Real and in focal plane at a distance of \( 1.75 \mathrm{cm} \) from the optical axis
B. Real but not in focal plane
C. Virtual and in focal plane at a distance of \( 1.75 \mathrm{cm} \) from the optical axis
D. Image will be virtual but not in focal plane
Subject: Maths
Find the following integrals:
i) \( \int \frac{x^{3}-1}{x^{2}} d x \)
ii) \( \int\left(x^{\frac{2}{3}}+1\right) d x \)
iii) \( \int\left(x^{\frac{3}{2}}+2 e^{x}-\frac{1}{x}\right) d x \)
Subject: Physics
The instantaneous velocity of a point on the outer edge of a disk with a diameter of \( 4 \mathrm{m} \) that is rotating at 120 revolutions per minute is most nearly:
\( A \cdot 4 m / s \)
B. 6 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 12 m / s \)
D. 25 \( \mathrm{m} / \mathrm{s} \)
E. \( 50 \mathrm{m} / \mathrm{s} \)
Subject: Physics
Sound waves from a tuning fork A reach a point \( P \) by two separate paths ABP and ACP.When ACP is greater than ABP by \( 11.5 \mathrm{cm}, \) there is silence at P. When the difference is \( 23 \mathrm{cm} \) the sound becomes
loudest at \( P \) and when \( 34.5 \mathrm{cm} \) there is
silence again and so on. Calculate the minimum frequency (in Hz) of the fork if the velocity of sound is taken to be 331.2 \( \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Which of them is CORRECT statement
for \( N\left(C H_{2} C H_{2} N H_{2}\right)_{3} \) and
\( N\left(C H_{2} C O O\right)_{3}^{3-} ? \)
A. Both are tetradentate
B. Both has four donor site but act as tridentate
C. \( N\left(C H_{2} C H_{2} N H_{2}\right)_{3} \) is tetradentate but \( N\left(C H_{2} C O O\right)_{3}^{3} \) is tridentate
D. \( N\left(C H_{2} C H_{2} N H_{2}\right)_{3} \) is tridentate but \( N\left(C H_{2} C O O\right)_{3}^{3-} \) is tetradentate
Subject: Maths
\( f(x)\left\{\begin{array}{cc}x^{4} & x^{2}<1 \\ x & x^{2} \geq 1\end{array} \) Discuss the \right.
existence of limit at \( x=1 \) and \( x=-1 \)
A. Limit exist at both \( x=1 \) and \( x=-1 \)
B. Limit does not exist at both \( x=1 \) and \( x=-1 \)
c. limit exist at \( x=1 \) but not at \( x=-1 \)
D. limit exist at \( x=-1 \) but not at \( x=1 \)
Subject: Maths
Let \( \vec{a}=\hat{j}-\hat{k} \) and \( \vec{c}=\hat{i}-\hat{j}-\hat{k}, \) then
the vector \( \overrightarrow{\boldsymbol{b}} \) satisfying \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{c}}=\mathbf{0} \)
and \( \vec{a} \cdot \vec{b}=3 \) is
\( \mathbf{A} \cdot-\hat{i}+\hat{j}-2 \hat{k} \)
B . \( 2 \hat{i}-\hat{j}+2 \hat{k} \)
c. \( \hat{i}-\hat{j}-2 \hat{k} \)
D. \( \hat{i}+\hat{j}-2 \hat{k} \)
Subject: Physics
The following table gives the current \( i \)
through two devices for several values
of potential difference \( V \) of Device 1 Device \( 2(\text { SI Units }) \)
\( \begin{array}{llll}\text { Device } & \text { Device } & \text { Device } & \text { Device } \\ 1 & 1 & 2 & 2 \\ V & I & V & I \\ 2 & 4.5 & 2 & 1.5 \\ 3 & 6.75 & 3 & 2.2 \\ 4 & 9 & 4 & 2.8\end{array} \)
A. Device 1 is ohmic, device 2 is non ohmic
B. Device 1 is non ohmic, device 2 is ohmic
c. Both are non ohmic.
D. Both are ohmic
Subject: Chemistry
Which of the following statements
is/are correct?
This question has multiple correct options
\( \mathbf{A} \cdot\left[C o(p n)_{2} C l_{2}\right]^{+} \) forms cis-trans isomers
B . \( \left[\operatorname{Co}\left(N H_{3}\right)_{4}\left(H_{2} O\right) C l\right] B r_{2} \) exhibits both ionization as well as hydrate isomerism.
\( \mathbf{c} \cdot\left[C r\left(g l y_{3}\right] \) exhibits both geometrical and optical \right. isomerism.
D. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right] N O_{2} \) exhibits both ionization as well as linkage isomerism.
Subject: Maths
\( \left|\begin{array}{ccc}\left(a^{x}+a^{-x}\right)^{2} & \left(a^{x}-a^{-x}\right)^{2} & 1 \\ \left(b^{x}+b^{-x}\right)^{2} & \left(b^{x}-b^{-x}\right)^{2} & 1 \\ \left(c^{x}+c^{-x}\right)^{2} & \left(c^{x}-c^{-x}\right)^{2} & 1\end{array}\right| \) is equa
to
\( A \)
B. \( 2 a b c \)
\( \mathbf{c} \cdot a^{2} b^{2} c^{2} \)
D. None of these
Subject: Physics
Assertion
Internal resistance of a battery is drawn
parallel to a battery in electricity circuit.
Reason
Heat generated in a battery is due to internal resistance.
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
The image of a star (effectively a point source) is made by a convergent lens of focal length \( 1 \mathrm{m} \) and diameter of aperture \( 5.0 \mathrm{cm} . \) If the lens is ideal and the effective wavelength in image
formation is taken as \( 5 \times 10^{-3} \mathrm{cm} \), the
diameter of the image formed will be
nearest to
A. zero
B. \( 10^{-6} \mathrm{cm} \)
\( \mathbf{c} \cdot 10^{-5} \mathrm{cm} \)
D. \( 10^{-3} \mathrm{cm} \)
Subject: Chemistry
The following tripeptide can be
represented as.
\( \mathbf{A} \cdot \operatorname{Tyr}-V a l-T h r \)
B. Phe \( -A l a- \)Ser
c. \( P h e- \)Leu\( - \)Cys
D. \( L y s-A l a-S e r \)
Subject: Physics
Assertion
In Rutherford's gold foil experiment, very
few \( \alpha \) -particles are deflected back.
Reason

Nucleus present inside the atom is heavy.
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
If a charged particle is projected perpendicular to uniform magnetic
field, then
a) force experienced will be perpendicular to the magnetic field and
initial velocity.
b) force experienced will be perpendicular to the magnetic field and instantaneous velocity
c) the work done by the magnetic field
is zero.
d) the particle experiences both radial and tangential accelerations.
A. a, b, c are correct d is wrong
B. all are correct
c. a, b are correct, c, d are wrong
D. a, b, c are wrong, d is correct
Subject: Physics
Three different vibrating bodies produce
three types of sounds \( X, Y \) and \( Z . \) Sounds \( \mathrm{X} \) and \( \mathrm{Y} \) cannot be heared by a man
having normal range of hearing but sound \( Z \) can be heard easily. The sound \( X \)
is used in for monitoring nuclear
reactor.The sound similar to that which is
produced during an earthquake before
the main shock wave is generated. What type of sounds are (i) \( \mathrm{X} \) (ii) \( \mathrm{Y} \), and (iii) \( \mathrm{Z} \) ?
A. \( x \) -infrasound
Y-ultrasound
Z- audible sound
B. X-audible sound
Y-infrasound
z-ultrasound
c. X-ultrasound
Y-infrasound
Z-audible sound
D. X-infrasound
Y-audible sound
Z-audible sound
Subject: Physics
Which of the following statement(s)
is/are correct
This question has multiple correct options
A. A plane mirror cannot form real image of real object
B. A ray of light gets reflected successively from two mirrors which are mutually perpendicular net angular deviation suffered by the ray does not depend upon angle of incidence of first mirror
C. When a glass prism is completely submerged in water then its dispersive power increases
D. Refractive index of a material does not depend upon wavelength of light
Subject: Chemistry
An ideal solution contains two volatile
liquids \( \boldsymbol{A}(\boldsymbol{p}=\mathbf{1 0 0} \text { tor } \boldsymbol{r}) \) and
\( B(p=200 \text { tor } r) . \) If mixture contain 1
mole of \( A \) and 4 mole of \( B \) then total
vapour pressure of the distillate is:
A . 150
в. 180
c. 188.88
D . 198.88
Subject: Maths
A cooperative society of farmers has 50 hectares of land to grow two crops \( A \) and
B. The profits from crops A and B per hectare are estimated as Rs 10,500 and Rs 9,000 respectively. To control weeds, a liquid herbicide has to be used
for crops \( A \) and \( B \) at the rate of 20 litres
and 10 litres per hectare, respectively.
Further not more than 800 litres of
herbicide should be used in order to
protect fish and wildlife using a pond which collects drainage from this
land. Keeping in mind that the
protection of fish and other wildlife is more important than earning profit, how much land should be allocated to each
crop so as to maximize the total profit? Form an LPP from the above and solve it graphically. Do you agree with the message that the protection of wildlife is utmost necessary to preserve the balance in environment?
Subject: Physics
A rigid massless rod of length 3 l has two masses attached art each end as
shown in the figure. The rod is pivoted at point \( P \) on the horizontal position, its instantaneous angular acceleration will
be:
A \( \cdot \frac{g}{2 l} \)
в. \( \frac{7 g}{3 l} \)
c. \( \frac{g}{13 l} \)
D. \( \frac{g}{3 l} \)
Subject: Chemistry
This question contains STATEMENT-I (Assertion) and STATEMENT-2 (Reason) and has 4 choices \( (a),(b),(c) \) and \( (d) \)
out of which ONLY ONE is correct.
STATEMENT-I: p-Hydroxybenzoic acid has a lower boiling point than o-
hydroxybenzoic acid. STATEMENT-2: 0-Hydroxybenzoic acid has a intramolecular hydrogen bond.
A. Statment-1 is True, Statement-2 is True; Statement-2 is correct explanation for Statement-
B. Statment-l is True, Statement-2 is True; Statement-2 is NOT correct explanation for Statement-
c. Statement-1 is True, Statement-2 is False.
D. Statement-1 is Flase, Statement-2 is True
Subject: Physics
A uniform bar of mass \( m \) is supported
by a pivot at its top about which the bar
can swing like a pendulum. If a force \( \boldsymbol{F} \) is applied perpendicular to the lower end of the bar as shown in figure, what is the value of \( F \) in order to hold the bar
in equilibrium at an angle \( (\theta) \) from the vertical
\( \mathbf{A} \cdot 2 m g \sin \theta \)
в. \( m g \sin \theta \)
\( c . m g \cos \theta \)
\( D \)
Subject: Physics
The internal energy of a gas is given by
\( U=2 P V . \) it expands from \( V_{o} \) to \( 2 V_{o} \)
against a constant pressure \( P_{o} . \) The
heat absorbed by the gas in the process
is
A \( \cdot 2 P_{o} V_{o} \)
в. \( 4 P_{o} V_{o} \)
\( \mathrm{c} \cdot 3 P_{o} V_{\mathrm{o}} \)
D. \( P_{o} V_{o} \)
Subject: Maths
If the minimum value of \( \left(\sec ^{-1} x\right)^{2}+ \)
\( \left(\operatorname{cosec}^{-1} x\right)^{2} \) is \( \frac{\pi^{a}}{b} . \) Find the value of
\( a+b \)
\( \mathbf{A} \cdot \mathbf{6} \)
B. 8
c. 10
D. 12
Subject: Chemistry
Which of the following configurations has the highest ionization energy?
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{1} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{3} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{2} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{4} \)
Subject: Chemistry
\( 2 K C l O_{3} \rightarrow 2 K C l+3 O_{2} . \) What will be
the instantaneous rate of the reaction
in terms of the reactant?
A \( \cdot \frac{1}{2} \frac{d\left[K C l O_{3}\right]}{d t} \)
в. \( -\frac{1}{2} \frac{d\left[K C l O_{3}\right]}{d t} \)
c. \( \frac{d\left[K C l O_{3}\right]}{d t} \)
D. \( -\frac{d\left[K C l O_{3}\right]}{d t} \)
Subject: Maths
Find the coordinates of the point where the line \( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{2}}=\frac{\boldsymbol{y}+\boldsymbol{2}}{\mathbf{3}}=\frac{\boldsymbol{z}+\mathbf{3}}{\mathbf{4}} \) meets
the plane \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{4} \boldsymbol{z}=\boldsymbol{6} \)
Subject: Chemistry
Predict all the alkenes that would be
formed by dehydrohalogenation of the following halides with sodium ethoxide
in ethanol and identify the major alkene:
(i) \( 1- \) Bromo-1-methylcyclohexane
(ii) 2 -Chloro-2-methylbutane
(iii) 2,2,3 -Trimethyl-3-bromopentane.
Subject: Physics
The potential energy \( U \) for a force field \( \vec{F} \) is such that \( U=-K x y, \) where \( K \) is
a constant. Then
\( \mathbf{A} \cdot \vec{F}=K y \hat{i}+K x \hat{j} \)
В . \( \vec{F}=K x \hat{i}+K y \hat{j} \)
c. \( \bar{F} \) is a conservative force
D. \( \vec{F} \) is a non-conservation force
Subject: Biology
\( \begin{array}{ll}\text { Types of roots } & \text { Plants } \\ \text { A) Prop root } & \text { 1) Radish } \\ \text { B) Epiphytic root } & \text { 2) Turnip } \\ \text { C) Stilt root } & \text { 3) Cassava } \\ \text { D) Tuberous root } & \text { 4) Baniyan } \\ \text { E) Fusiform } & \text { 5) Maize } \\ \text { F) Napiform } & \text { 6) Orchid }\end{array} \)
\( \mathbf{A} \)
\( A-1, B-2, C-3, D-4, E-5, F-7 \)
7
B. A-2, B-4, C-6, D-1, E-2, F- 5
C. \( A-4, B-6, C-5, D-3, E-1, F-2 \)
D. A- 4, B-1, C- 2, D-3, E- 5, F- 6
Subject: Physics
A large steel wheel is to be fitted on to a
shaft of the same material. At \( 27^{\circ} C \) the
outer diameter of the shaft is \( 8.70 \mathrm{cm} \)
and the diameter of the central hole in
the wheel is \( 8.69 \mathrm{cm} . \) The shaft is cooled
using 'dry ice'. At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear
expansion of the steel to the constant over the required temperature range:
\( \boldsymbol{\alpha}_{\text {steel}}=\mathbf{1 . 2 0} \times \mathbf{1 0}^{-\mathbf{5}} \mathbf{K}^{-\mathbf{1}} \)
Subject: Physics
How much faster than its normal rate
should the earth rotate about its axis so
that the weight of the body at the equator becomes zero? (Radius of the
earth \( =6.4 \times 10^{6} m \) and \( g=9.8 m / s^{2} \)
A. Nearly 17 times
B. Nearly 12 times
c. Nearly 10 times
D. Nearly 14 times
Subject: Maths
If \( x^{y}=e^{x-y}, \) then \( \frac{d y}{d x} \) is equal to
A \( \cdot \frac{\log x}{1+\log x} \)
B. \( \frac{\log x}{1-\log x} \)
c. \( \frac{\log x}{(1+\log x)^{2}} \)
D. \( \frac{y \log x}{x(1+\log x)^{2}} \)
Subject: Maths
A metal sphere with radius of \( 10 \mathrm{cm} \) is
to be covered with a \( 0.02 \mathrm{cm} \) coating of
silver approximately silver required is
\( \left(\operatorname{in} c m^{3}\right) \)
A \( .2 \pi \)
в. \( 10 \pi \)
\( c .6 \pi \)
D. \( 8 \pi \)
Subject: Chemistry
Iron is in +2 oxidation state in:
This question has multiple correct options
\( \mathbf{A} \cdot N a_{2}\left[F e(C N)_{5} N O\right] \)
\( \mathbf{B} \cdot\left[F e\left(H_{2} O\right)_{5} N O\right] S O_{4} \)
\( \mathbf{c} \cdot K_{3}\left[F e(C N)_{6}\right] \)
\( \mathbf{D} \cdot K_{4}\left[F e(C N)_{6}\right] \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{O H} \stackrel{\boldsymbol{P}+\boldsymbol{I}_{2}}{\longrightarrow} \boldsymbol{A} \frac{\boldsymbol{H} \text {eating}}{\operatorname{alc} K C \boldsymbol{N}} \)
\( \boldsymbol{B} \frac{\boldsymbol{L i} A \boldsymbol{l} \boldsymbol{H}_{4}}{\boldsymbol{N a} / \text {alcohol}} \boldsymbol{C} \frac{\boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{2}}{\boldsymbol{N a N O _ { 2 }}+\boldsymbol{d i l} \boldsymbol{H C l}} \boldsymbol{D} \)
What is \( D ? \)
A. \( C H_{3} C H O \)
в. \( C H_{3} \)СООН
c. \( C H_{3} C H_{2} \) ОН
D. \( C H_{3}-O-C H_{3} \)
Subject: Chemistry
\( C u^{2+}+2 e^{-} \rightarrow C u \)
\( \boldsymbol{E}_{\text {red}} \boldsymbol{v s} \cdot \log \left[\boldsymbol{C u}^{2+}\right] \) graph is of the type
as shown in figure where \( O A=0.34 V \)
then electrode potential of the half cell of \( C u \mid C u^{2+}(0.1 M) \) will be :
A. \( _{-0.34}+\frac{0.0591}{2} \mathrm{V} \)
В. \( 0.34+0.0591 V \)
\( c .0 .34 V \)
D. none of thes
Subject: Physics
A red LED emits light at0.1 watt uniformly around it. The amplitude of the electric field of the light at a
distance of \( 1 \mathrm{m} \) from the diode is :
\( \mathbf{A} \cdot 6 V / m \)
в. \( 2.45 V / m \)
c. \( 5.48 V / m \)
D. \( 1.73 V / m \)
Subject: Maths
For the next three (03) items that follow
The number of telephone calls received
in 245 successive one minute intervals
at an exchange is given below in the following frequency distribution.
Number of calls
\[
2
\]
Frequency
\( \begin{array}{llll}14 & 21 & 25 & 43\end{array} \)
What is the mean of the distribution?
A . 3.76
B. 3.84
c. 3.96
D. 4.05
Subject: Chemistry
The sequence that correctly represents the increasing order of bond angles in
\( O F_{2}, O C l_{2}, C l O_{2} \) and \( H_{2} O \) is :
A. \( O F_{2}<H_{2} O<O C l_{2}<C l O_{2} \)
в. \( H_{2} O<F_{2} O<C l_{2} O<C l O_{2} \)
c. \( O F_{2}<C l_{2} O<H_{2} O<C l O_{2} \)
D. \( C l O_{2}<C l_{2} O<O F_{2}<H_{2} O \)
Subject: Physics
State the change in the form of a
reaction
A \( \cdot \frac{234}{92} A \rightarrow_{888}^{232} B+\frac{4}{2} H e \)
\( e e \)
B \( \cdot \frac{238}{92} A \rightarrow_{90}^{234} B+_{2}^{4} H e \)
C \( \cdot \frac{238}{911} \mathrm{A} \rightarrow_{839}^{234} \mathrm{B}+_{2}^{4} \mathrm{He} \)
D \( \cdot \frac{234}{92} A \rightarrow_{992}^{234} B+_{2}^{4} H e \)