AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
A cuboid is \( 3 \mathrm{cm} \) high, \( 4 \mathrm{cm} \) wide and 5 cm long. What is its volume?
\( \mathbf{A} \cdot 60 \mathrm{cm}^{3} \)
B. \( 50 \mathrm{cm}^{3} \)
\( \mathrm{c} \cdot 150 \mathrm{cm}^{3} \)
D. \( 100 \mathrm{cm}^{3} \)
Subject: Physics
A thin spherical conducting shell of radius \( \mathrm{R} \) has a charge \( \mathrm{q} \). Another charge
Q is placed at the centre of the shell. The electrostatic potential at a point \( \mathbf{P} \) which is at a distance \( \frac{\boldsymbol{R}}{\mathbf{2}} \) from the centre of the shell is:
\( ^{\mathbf{A}} \cdot \frac{2 Q}{4 \pi \epsilon_{0} R}-\frac{2 q}{4 \pi \epsilon_{0} R} \)
В. \( \frac{2 Q}{4 \pi \epsilon_{0} R}+\frac{2 q}{4 \pi \epsilon_{0} R} \)
c. \( \frac{(q+Q)}{4 \pi \epsilon_{0} R}+\frac{2}{R} \)
D. \( \frac{2 Q}{4 \pi \epsilon_{0} R} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right] \) is a matrix
satisfying the equation \( \boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}}=\mathbf{9} \boldsymbol{I} \)
where \( I \) is \( 3 \times 3 \) identity matrix, then
the ordered pair \( (a, b) \) is equal:
A \( .(2,-11) \)
в. (-2,1)
c. (2,1)
()
D. (2,-1)
Subject: Maths
The domain of the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( \log _{4}\left(\log _{5}\left(\log _{3}\left(18 x-x^{2}-77\right)\right) \) is \right.
A. \( x \in(4,5) \)
в. \( x \in(0,10) \)
c. \( x \in(8,10) \)
D. None of these
Subject: Chemistry
List I
A) Salt bridge
Reduction
B) Standard hydrogen electrode 2 )
Oxidation
C) Cathode
3) Reference
electrode
D) Anode
4) \( \mathrm{KCl}, \mathrm{KNO}_{3} \)
\( (\text { or }) \mathrm{NH}_{4} \mathrm{NO}_{3} \)
The correct match is :
A. 3421
B. 4 312
c. 4321
D. 1234
Subject: Physics
Which one of the following does not
represent a travelling wave?
\( \mathbf{A} \cdot y=f(x-v t) \)
B \( \cdot y=y_{\max } \sin k(x+v t) \)
\( \mathbf{c} \cdot y=y_{\max } \log (x-v t) \)
D. \( y=f\left(x^{2}-v t^{2}\right) \)
Subject: Maths
\( \mathrm{IF} \tan \Theta=\frac{8}{15} \) then the value of
\( \frac{17 \sin \Theta+\frac{5}{\cos \theta}}{5 \tan \Theta+\frac{8}{\sin \theta}} \)
A \( \cdot \frac{59}{41} \)
в. \( \frac{35}{41} \)
c. \( \frac{41}{59} \)
D. \( \frac{41}{35} \)
Subject: Chemistry
Among the following, the strongest acid
is :
A. \( C_{6} H_{5} C H_{2} N H_{2} \)
в. \( C_{6} H_{5} \) СООН
c. \( m-C H_{3} O C_{6} H_{4} C O O H \)
D . \( p-C H_{3} O C_{6} H_{4} \) COOH
Subject: Chemistry
From the \( \alpha \) -particle scattering
experiment, Rutherford concluded that:
This question has multiple correct options
A. \( \alpha \) -particles can approach within a distance of the order of \( 10^{-14} \mathrm{m} \) of the nucleus
B. the radius of the nucleus is less than \( 10^{-14} m \)
C . scattering follows Coulomb's law
D. the positively charged parts of the atom move with extremely high velocities
Subject: Maths
If \( 0 \leq x \leq \pi, \) the interval in which the
function \( f(x)=\frac{\tan x}{\sin x} \) is defined is:
A. \( 0 \leq x \leq \pi \)
В. \( 0<x<\pi \)
c. \( 0<x<\frac{\pi}{2} \)
D \( \cdot \frac{\pi}{2}<x \leq \pi \)
E \( \cdot 0<x<\frac{\pi}{2} \) and \( \frac{\pi}{2}<x<\pi \)
Subject: Physics
The number of silicon atomes per \( m^{3} \) is
\( 5 \times 10^{28} . \) This is doped simultaneously
with \( 5 \times 10^{28} \) atoms per \( m^{3} \) of Arsenic
and \( 5 \times 10^{20} \) per \( m^{3} \) atoms of Indium.
Calculate the number of electrons and
holes. Given that \( n_{1}=1.5 \times 10^{16} m^{-3} \)
Is the material \( n \) -type or \( p- \) type?
Subject: Physics
A body executing SHM has its velocity \( 10 c m / s \) and \( 7 c m / s \) when its
displacements from mean position are
\( 3 c m \) and \( 4 c m \) respectively. The length of path is
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 9.5 \mathrm{cm} \)
c. \( 4 c m \)
D. \( 11.36 \mathrm{cm} \)
Subject: Physics
The moment of inertia of a flywheel is \( 0.2 k g m^{2} \) which is initially stationary. constant external torque \( 5 N m \) acts on the wheel. The work done by this torque
during 10 sec is:
A . \( 1250 J \)
B. \( 2500 J \)
c. \( 5000 J \)
D. \( 6250 J \)
Subject: Chemistry
What is the equilibrium concentration of each at the substances in
equilibrium. When the initial
concentration at ICl was \( 0.70 ? \)
\( \boldsymbol{I}_{C l} \rightarrow \boldsymbol{I}_{2}+\boldsymbol{C l}_{2} \)
\( \mathrm{Kc}=0.14 \)
Subject: Physics
If \( L, C \) and \( R \) denote the inductance, capacitance and resistance
respectively, the dimensional formula
for \( C^{2} \) LR is :
\( \mathbf{A} \cdot\left[M L^{-2} T^{-1} I^{0}\right] \)
B \cdot \( \left[M^{0} L^{0} T^{3} I^{0}\right] \)
\( \mathbf{c} \cdot\left[M^{-1} L^{-2} T^{6} I^{2}\right] \)
D \( \cdot\left[M^{0} L^{0} T^{2} I^{0}\right] \)
Subject: Chemistry
Which of the following will act as
anodes when connected to standard
hydrogen electrode?
This question has multiple correct options
\( \mathbf{A} \cdot A l / A l^{3+} ; \quad E^{-}=-1.66 \)
\( \mathbf{B} \cdot F e / F e^{2+} ; \quad E^{-}=-0.44 \)
\( \mathbf{c} \cdot C u / C u^{2+} ; \quad E^{-}=+0.34 \)
D \( \cdot F_{2}(g) / 2 F^{-}(a q) ; \quad E^{-}=+2.87 \)
Subject: Physics
A particle moves along the X-axis
according to the equation \( \boldsymbol{x}= \)
\( 10 \sin ^{3}(\pi t) . \) the amplitudes and
frequencies of component SHMs are
A . amplitude \( 30 / 4,10 / 4 ; \) frequencies3 \( / 2,1 / 2 \)
в. amplitude30/4,10/4; frequencies1/2,3/2
c. amplitude10, \( 10 ; \) frequencies1/2,1/2
D. amplitude30/4,10; frequencies3/2,
Subject: Physics
If the velocity of a particle is \( \boldsymbol{v}=\boldsymbol{A} \boldsymbol{t}+ \)
\( B t^{2}, \) where \( A \) and \( B \) are constants, then
the distance travelled by it between 1 s
and \( 2 s \) is
A \( \cdot \frac{3}{2} A+4 B \)
B. \( 3 A+7 B \)
c. \( \frac{3}{2} A+\frac{7}{3} B \)
D. \( \frac{A}{2}+\frac{B}{3} \)
Subject: Maths
The value of \( \tan \left[\cos ^{-1} \frac{4}{5}+\tan ^{-1} \frac{2}{3}\right] \) is
A \( \cdot \frac{6}{17} \)
в. \( \frac{7}{16} \)
c. \( \frac{17}{6} \)
D. none of these
Subject: Physics
An alpha nucleus of energy \( \frac{1}{2} m v^{2} \) bombards a heavy nuclear target of
charge Ze. Then the distance of closest
approach for the alpha nucleus will be proportional to
A \( \cdot v^{2} \)
в. \( \frac{1}{m} \)
c. \( \frac{1}{v^{4}} \)
D. \( \frac{1}{Z e} \)
Subject: Maths
Exactly 6 on each of 3 successive throws
A \( \cdot \frac{5^{3}}{16^{3}} \)
в. \( \frac{5}{16^{3}} \)
c. \( \frac{5^{2}}{16^{3}} \)
D. \( \frac{1}{16^{3}} \)
Subject: Chemistry
One mole of ethanol is treated with one
mole of ethanoic acid at \( 25 . \) One-forth of the acid changes into ester at equilibrium. The equilibrium constant for the reaction will be:
A . \( 1 / 9 \)
B. \( 4 / 9 \)
c. 9
D. \( 9 / 4 \)
Subject: Physics
Water is filled upto same height in two
identical closed containers \( A \) and \( B \).
Container \( A \) has vacuum over the water
while container \( B \) has air over the
water. At the same depth of both the
containers there is an opening on which identical balloons \( A \) and \( B \) are attached
as shown in the figure given below. Then
A. Balloon - \( A \) will bulge more than balloon - \( B \)
B. Balloon - \( B \) will bulge more than balloon - \( A \)
c. Both the balloons will bulge equally
D. None of the balloons will bulge
Subject: Physics
A object of mass \( 1 \mathrm{kg} \) and radius \( 1 \mathrm{m} \) is falling vertically downward inside liquid in a gravity free space. At t=0 velocity of
the sphere is \( 2 m s^{-1} . \) If the of viscosity
of the liquid is \( \frac{1}{18 \pi} \) Pas, the velocity of
the ball will become \( 0.5 \mathrm{ma}^{-1} \) after a
time (in second)
\( A \cdot \ln 4 \)
B. \( 2 \ln 4 \)
\( c \cdot 3 \ln 4 \)
D. \( 3 \ln 2 \)
Subject: Physics
f a proton and anti-proton come close to each other and annihilate, how much energy will be released?
A . \( 1.5 \times 10^{-10} \mathrm{J} \)
B . \( 3 \times 10^{-10} J \)
c. \( 4.5 \times 10^{-10} J \)
D. \( 2 \times 10^{-10} \mathrm{J} \)
Subject: Chemistry
toppr
Q Type your question_
\( 4+3 \cup+1 \)
木
b. \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C}=\boldsymbol{C H}_{2}+\boldsymbol{H C l} \rightarrow \)
\( \left(\boldsymbol{C H}_{3}\right)_{2}(\boldsymbol{C l}) \boldsymbol{C}-\boldsymbol{C H}_{3} \)
c. \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C}-\boldsymbol{C H}_{2} \boldsymbol{O H}+\boldsymbol{H} \boldsymbol{B r} \rightarrow \)
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C}(\boldsymbol{B r}) \boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \)
d. \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{B r}+\boldsymbol{H O}^{\ominus} \rightarrow \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H}_{2} \)
A. a.Nucleophilic substitution and 1, 2-Methyl shift
b. Nucleophilic substitution reaction
c. Elimination reaction
d. Addition reaction
B. a.Addition reaction
b. Nucleophilic substitution reaction
c. Elimination reaction
d. Nucleophilic substitution and 1, 2-Methyl shift
c. a. Nucleophilic substitution reaction
b. Addition reaction
c. Nucleophilic substitution and 1, 2-Methyl shift
d. Elimination reaction
D. a.Addition reaction
b. Nucleophilic substitution reaction
c. Nucleophilic substitution and 1, 2-Methyl shift
d. Elimination reaction
Subject: Chemistry
ASSERTION: In the extraction of
Ag, complex \( \mathrm{Na}\left[\mathrm{Ag}(\mathrm{CN})_{2}\right] \) is reacted
with Zn.

REASON: Zn is a d-block transition
metal.
A. If both assertion and reason are CORRECT, and reason
is the CORRECT explanation of the assertion
B. If both assertion and reason are CORRECT, but reason is NOT the CORRECT explanation of the assertion
C. If assertion is CORRECT but reason is INCORRECT
D. If assertion is INCORRECT but reason is CORRECT
Subject: Chemistry
For the equilibrium, \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{s}) \Leftrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
which of the following is true?
A. The pressure changes do not affect the equilibrium.
B. The amount of ice that melts is more, if the pressure on the system is increased
c. The amount of liquid that freezes is more, if the pressure on the system is increased.
D. At low pressure, the nature of equilibrium changes to forward direction
Subject: Maths
If \( ^{n} \boldsymbol{P}_{r}=\mathbf{3 0 2 4 0} \) and \( ^{n} \boldsymbol{C}_{r}=\mathbf{2 5 2}, \) then the
ordered pair \( (n, r) \) is equal to:
A. (12,6)
в. (10,5)
c. (9,4)
(年. \( 9,4,4) \)
D. (16,7)
Subject: Chemistry
The stabilities of coordination
compounds containing the ions \( \boldsymbol{C u}^{2+}, \boldsymbol{N i}^{2+}, \boldsymbol{C o}^{2+}, \boldsymbol{F} \boldsymbol{e}^{2+} \) and \( \boldsymbol{M} \boldsymbol{n}^{2+} \)
follow the order:
A \( \cdot M n^{2+}>F e^{2+}>C o^{2+}>N i^{2+}+C u^{2+} \)
B . \( N i^{2+}>C u^{2+}>F e^{2+}>C o^{2+}+M n^{2+} \)
c. \( C u^{2+}>N i^{2+}>C o^{2+}>F e^{2+}+M n^{2+} \)
D. \( F e^{2+}>M n^{2+}>N i^{2+}>C o^{2+}+C u^{2} \)
Subject: Chemistry
In the structureof \( \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{S} \boldsymbol{F}_{4}, \) to decide
the plane in which \( C=S \) is present the
following bond angle values are given:
Axial \( \boldsymbol{F}-\boldsymbol{S}-\boldsymbol{F} \text { angle (idealised }=180) \)
\( \Rightarrow 170 \)

Equatorial \( \boldsymbol{F}-\boldsymbol{S}-\boldsymbol{F} \) angle (idealised \( = \)
120)\( \Rightarrow 97 \)
After deciding the plane of double bond, which of the
following statement is/are correct?
A. Two \( C-H \) bonds are in the same plane of axial \( S-F \)
bonds
B. Two \( C-H \) bonds are in the same plane of equatorial \( S-F \) bonds
C. Total five atoms are in the same plane
D. Equatorial \( S-F \) bonds are perpendicular to plane of \( \pi \) - bond
Subject: Chemistry
The incorrect statement(s) among
the following is (are):
¡) Primary valency of a transition metal
ion in complex represent its oxidation
number.
ii) \( Z n^{2+} \) is colourless.
iii) \( M n C l_{2} \) exhibits green color in aqueous
solution.
iv) \( F e, C o, N i \) complexes are diamagnetic
in nature.
A. i and ii
B. ii only
c. iii and iv
D. iv only
Subject: Physics
One mole of an ideal monoatomic gas is
heated at a constant pressure from \( 0^{\circ} \mathrm{C} \)
to \( 100^{\circ} \mathrm{C} . \) Then the change in the internal energy of the gas is (Given \( \boldsymbol{R}=\mathbf{8 . 3 2} \boldsymbol{J} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1} \mathbf{)} \)
A \( .0 .83 \times 10^{3} J \)
в. \( 4.6 \times 10^{3} J \)
c \( .2 .08 \times 10^{3} J \)
D. \( 1.25 \times 10^{3} J \)
Subject: Physics
The internal resistance of a \( 2.1 \mathrm{V} \) cell
which gives a current of \( 0.2 \mathrm{A} \) through a resistance of \( 10 \Omega \) is
\( \mathbf{A} \cdot 0.2 \Omega \)
B. \( 0.5 \Omega \)
c. \( 0.8 \Omega \)
D. \( 1.0 \Omega \)
Subject: Chemistry
Which of the following equations is a
balanced one?
\( \mathbf{A} \cdot 5 B i O_{3}^{-}+22 H^{+}+M n^{2+} \rightarrow 5 B i^{3+}+7 H_{2} O+M n O_{4}^{-} \)
B. \( 5 B i O_{3}^{-}+14 H^{+}+2 M n^{2+} \rightarrow 5 B i^{3+}+7 H_{2} O+2 M n O_{4}^{-} \)
\( \mathbf{c} \cdot 2 B i O_{3}+4 H^{+}+M n^{2+} \rightarrow 2 B i^{3+}+2 H_{2} O+M n O_{4}^{-} \)
D. \( 6 B i O_{3}^{-}+12 H^{+}+3 M n^{2+} \rightarrow 6 B i^{3+}+6 H_{2} O+3 M n O_{4}^{-} \)
Subject: Chemistry
A buffer solution is formed by mixing \( 100 \mathrm{mL} 0.01 \mathrm{M} C \mathrm{H}_{3} \mathrm{COOH} \) with \( 200 \mathrm{mL} \)
\( 0.02 \mathrm{M} C H_{3} C O O N a . \) If this buffer
solution is made to 1 lit by adding 700
mL of water, \( \boldsymbol{p} \boldsymbol{H} \) will change by a factor
of:
Subject: Physics
Assertion
A load when lifted vertically up requires greater effort than to roll the same load
up the ramp.
Reason
The work done in lifting the load vertically up is less.
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 wire \( 50 \mathrm{cm} \) long and \( 1 \mathrm{mm}^{2} \) in cross
section carries a current of 4 A when
connected to a 2 V battery. The resistivity of the wire is
A. \( 2 \times 10^{-7} \Omega m \)
В. \( 5 \times 10^{-7} \Omega m \)
c. \( 4 \times 10^{-6} \Omega m \)
D. \( 1 \times 10^{-6} \Omega m \)
Subject: Chemistry
On vigorous oxidation by permanganate solution \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C}=\boldsymbol{C H}-\boldsymbol{C H}_{2} \boldsymbol{C H O} \)
gives:
A \( \cdot\left(C H_{3}\right)_{2} C O \) and \( O H C-C H_{2}-C H O \)
в. \( \left(C H_{3}\right)_{3} C O H \) and \( H C H O O \)
c. \( \left(C H_{3}\right)_{2} C O \) and \( O H C-C H_{2}-C O O H \)
D. \( \left(C H_{3}\right)_{2} C O \) and \( C H_{2}(C O O H)_{2} \)
Subject: Physics
An \( L-C-R \) series circuit with \( L= \)
\( 0.120 H, R=240 \Omega, \) and \( C=7.30 \mu F \)
carries an rms current of \( 0.450 A \) with a
frequency of \( 400 H z . \) What is the average rate at which electrical energy is dissipated (converted to other forms) in the inductor?
Subject: Physics
If the air density were uniform, then the height of the atmosphere above the sea level to produce a normal atmospheric
pressure of \( 1.0 \times 10^{5} \) Pa is (density of air is \( 1.3 \mathrm{kg} / \mathrm{m}^{3}, \mathrm{g}=10 \mathrm{m} / \mathrm{s}^{2} \) ):
A. \( 0.77 \mathrm{km} \)
B. 7.7 km
c. \( 77 \mathrm{km} \)
D. 0.077 km
Subject: Chemistry
The decreasing order of acidic character of the following is:
(I) EtOH (II) Me- \( \mathrm{COOH} \) (III) \( M e O O C- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{C O O M e}(\mathrm{IV}) \mathrm{MeCOMe} \)
B. \( \|>\|>>1>1 v \)
c. ।>IV> |||> ||
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5} & \mathbf{6} \\ \mathbf{7} & \mathbf{1} & \mathbf{0}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{0} & \mathbf{3} & \mathbf{0} \\ \mathbf{0} & \mathbf{4} & \mathbf{5}\end{array}\right] \)
\( \operatorname{Tr}(A B)=\lambda \operatorname{Tr}(\mathrm{A}) . \operatorname{Tr}(\mathrm{B}), \) then \( \lambda= \)
\( A \)
B. 0
\( c \cdot \frac{6}{5} \)
\( \frac{20}{27} \)
Subject: Physics
Bunty mixed 440 gm of ice at \( 0^{\circ} \mathrm{C} \) with
\( 540 \mathrm{gm} \) of water at \( 80^{\circ} \mathrm{C} \) in a bowl. Then what would remain after sometime in
the bowl?
A . only ice
B. only water
c. ice and water in same amount
D. ice and water will vapourise
Subject: Maths
Himanshu borrowed \( \boldsymbol{R} \boldsymbol{s} \mathbf{1 2}, \mathbf{0 0 0} \) at
\( 15 \frac{1}{2} \% \) rate of simple interest for certain years. At the end of the period, he paid a total sum of \( \boldsymbol{R} \boldsymbol{s} \boldsymbol{2} \boldsymbol{0}, \boldsymbol{3} \boldsymbol{7} \boldsymbol{0} . \) Find the period.
Subject: Maths
The sum of the series \( 1+\frac{1}{4 \times 2 !}+ \) \( \frac{1}{16 \times 4 !}+\frac{1}{64 \times 6 !}+\ldots \infty \) is?
A \( \cdot \frac{e+1}{\sqrt{e}} \)
в. \( \frac{e-1}{\sqrt{e}} \)
c. \( \frac{e+1}{2 \sqrt{e}} \)
D. \( \frac{e-1}{2 \sqrt{e}} \)
Subject: Maths
Which of the following statement is true
\( ? \)
A. Fractions with same numerator are called like fractions
B. Fractions with same denominator are called unlike
fractions
C. Difference of two like fractions = \( \frac{\text {difference of numerators}}{\text {common denominator}} \)
D. A fraction with numerator greater than or equal to the denominator is called proper fraction
Subject: Physics
The force between the plates of a parallel
plate capacitor of capacitance \( C \) and distance of separation of the plates \( d \) with a potential difference \( V \) between the
plates, is:
\( ^{\text {A }} \cdot \frac{C V^{2}}{2 d} \)
B. \( \frac{C^{2} V^{2}}{2 d^{2}} \)
c. \( \frac{C^{2} V^{2}}{d^{2}} \)
D. \( \frac{V^{2} d}{C} \)
Subject: Physics
In a double-slit experiment the angular
width of a fringe is found to be \( 0.2^{\circ} \) on a
screen placed 1 m away. The
wavelength of light used is \( 600 n m \) What will be the angular width of the fringe is the entire experimental apparatus is immersed in water? Take refractive index of water to be \( \frac{4}{3} \)
Subject: Chemistry
\( S O_{2} \) and \( C l_{2} \) both are used as bleaching agent. Factors that cause bleaching are respectively:
A. \( H \) (that causes reduction), \( O \) (that causes oxidation)
B. \( O \) (that causes reduction), \( H \) (that causes oxidation)
c. \( H \) (that causes oxidation), \( O \) (that causes reduction)
D. \( O \) (that causes oxidation), \( H \) (that causes reduction)
Subject: Physics
us
and radius \( 0.5 \mathrm{m} \) is initially at rest on a
horizontal frictionless surface. Three
forces of equal magnitude \( 0.5 N \) are
applied simultaneously along the three
sides of an equilateral triangle \( \boldsymbol{X} \boldsymbol{Y} \boldsymbol{Z} \)
with its vertices on the perimeter of the
disc (see figure). One second after applying the forces, the angular speed
of the disc in \( r a d s^{-1} \) is:
\( A \cdot 2 \)
B. 4
\( c .5 \)
\( D \)
Subject: Maths
An edge of a variable cube is increasing at the rate of \( 3 \mathrm{cm} / \mathrm{s} \). How fast is the
volume of the cube increasing when the
edge is \( 10 \mathrm{cm} \) long?
A. \( 900 \mathrm{cm}^{3} / \mathrm{s} \)
B. \( 920 \mathrm{cm}^{3} / \mathrm{s} \)
\( \mathbf{c} .850 \mathrm{cm}^{3} / \mathrm{s} \)
D. \( 950 \mathrm{cm}^{3} / \mathrm{s} \)
Subject: Chemistry
Which of the following compounds can exhibit both geometrical isomerism
and enantiomerism?
A. \( C H_{3} \)
\( C H_{3} C H_{2}-C=C H-C O O H \)
в. \( C H_{3}-C H O H- \) СООН
c. \( C H_{3}-C H=C H-C H_{3} \)
\( \mathrm{D} \)
\( C H_{3} C H_{2}-C H-H C=C H-C H_{3} \)
Subject: Physics
A man can swim in still water at a
speed of \( 3 k m / h \). He wants to cross a
river that flows at \( 2 k m / h \) and reach the point directly opposite to his starting point.
(a) In which direction should he try to
swim (that is, find the angle his body makes with the river flow)?
(b) How much time will he take to cross
the river if the river is \( 500 m \) wide?
Subject: Biology
\( \mid \)
\( N \)
\( \mathrm{O} \)
\( \| \)
\( -\mathrm{C}-\mathrm{N}- \)
\( \mathrm{O} \)
\( \| \)
\( \mathrm{C} \)
\( \left(\begin{array}{cc}\mathrm{H} & \mathrm{H} \\ \mathrm{I} & \mathrm{I} \\ -\mathrm{C} & \mathrm{C}- \\ \mathrm{I} & \mid \\ \mathrm{H} & \mathrm{H}\end{array}\right) \)
Subject: Biology
All the reactions in glycolysis are
reversible except
A. 3 -Phosphoglycerate to 1,3 -Biphosphoglycerate.
B. Glucose 6-phosphate to fructose - 6-phosphate.
C. 1,3 -Biphosphoglycerate to glyceraldehyde 3 -P.
D. Fructose - 6 -phosphate to fructose- 1,6 -diphosphate.
Subject: Physics
A drilling machine of \( 10 k W \) power is
used to drill a bore in a small
aluminium block of mass \( 8 k g . \) If \( 50 \% \) of
power is used up in heating the machine itself or lost to the
surroundings then how much is the rise in temperature of the block in
2.5 minutes?
Given: specific heat of aluminium \( = \)
\( \mathbf{0 . 9 1} \boldsymbol{J} / \boldsymbol{g}^{\boldsymbol{o}} \boldsymbol{C} \boldsymbol{)} \)
\( \mathbf{A} \cdot 103^{\circ} C \)
B . \( 130^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 105^{\circ} \mathrm{C} \)
D. \( 30^{\circ} \mathrm{C} \)
Subject: Physics
A block is thrown with a velocity of \( 2 m / s \) (relative to ground) on a belt,
which is moving with velocity \( 4 m / s \) in
opposite direction of the initial velocity
of block. If the block stops slipping on
the belt after \( 4 s \) of the throwing then
choose the correct statement(s)
This question has multiple correct options
A. Displacement with respect to ground is zero after 2.66 and displacement with respect to ground is \( 12 \mathrm{m} \) after \( 4 s \)
B. Displacement with respect to ground in \( 4 s \) is \( 4 m \).
C. Displacement with respect to belt in \( 4 s \) is \( -12 m \).
D. Displacement with respect to ground is zero in \( \frac{8}{3} s \)
Subject: Maths
\( \operatorname{Let} A=\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{p} & \boldsymbol{q} & \boldsymbol{r} \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z}\end{array}\right| \) and suppose that
det. \( (A)=2 \) then the det.(B) equals, where \( \boldsymbol{B}=\left|\begin{array}{ccc}\mathbf{4} \boldsymbol{x} & \mathbf{2} \boldsymbol{a} & -\boldsymbol{p} \\ \mathbf{4} \boldsymbol{y} & \mathbf{2} \boldsymbol{b} & -\boldsymbol{q} \\ \boldsymbol{4} \boldsymbol{z} & \boldsymbol{2} \boldsymbol{c} & -\boldsymbol{t}\end{array}\right| \)
A. \( \operatorname{det}(B)=-2 \)
B. \( \operatorname{det}(B)=-8 \)
c. \( \operatorname{det}(B)=-16 \)
D. \( \operatorname{det}(B)=8 \)
Subject: Chemistry
Which of the following rules regarding the significant figures and calculations
involving them is not correct?
A. The result of an addition or subtraction is reported to the same number of decimal places as present in number with least decimal places.
B. Result of multiplication or division should have same number of significant figures as present in most precise figure
C. The result of multiplication or division should be rounded off to same number of significant figures as present in least precise figure.
D. The non-significant figures in the measurements are rounded off.
Subject: Biology
Q Type your question
sheets:
I. Plants should be collected in the
flowering stage.
II. Every detail regarding the plant such as locality, ecological conditions, plants vegetative and floral characters,
etc should be noted.
III. Plants are evenly pressed by unfolding a plant part between blotting papers (or newspapers) with the help of
plant presser.
IV. Blotting paper need not be changed
until plants get dried.
V. After drying, the plant's specimen is carefully mounted/pasted on the herbarium sheets.
VI. The herbarium sheet is labeled on
the lower right hand corner representing the number of plant specimen, date of collection, etc.

Which of the above statement(s) is/are
incorrect?
A. Only I
B. Only IV
c. I and IV
D. III and IV
Subject: Physics
Two spheres of the same metal have
radii \( 1 \mathrm{m} \) and \( 4 \mathrm{m} \) and temperature \( 4000 K \) and \( 2000 K \) respectively. The
ratio of the energy radiated per second by the first to the second is :
A . 1:
B. 1:
c. 2:
D. 1: