AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Assertion
DNA is more stable while RNA is more
reactive.
Reason
DNA was first discovered by Watson and
Crick (1953)
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 protons is about 1840 times heavier
than an electron. When it is accelerated
by a potential difference of \( 1 k V \), its
kinetic will be:-
A. \( 1840 \mathrm{keV} \)
B . \( 1 / 1840 \mathrm{keV} \)
c. \( 1 \mathrm{keV} \)
D. \( 920 \mathrm{keV} \)
Subject: Chemistry
In the electrochemical cell shown above,
which of the following half-reactions
occurs at the anode?
\( \mathbf{A} \cdot C u^{2+}+e \rightarrow C u^{-} \)
B \( \cdot Z n(s) \rightarrow Z n^{2+}+2 e \)
\( \mathbf{c} \cdot Z n^{2+}+2 e \rightarrow Z n(s) \)
\( \mathbf{D} \cdot C u(s) \rightarrow C u^{2+}+2 e \)
E \( \cdot C u^{2+}+2 e \rightarrow C u(s) \)
Subject: Chemistry
Name the following compound
according to IUPAC system:
A. Octamine- \( \mu \) -chloro- \( \mu \) -nitrodicobalt(III) sulphate
B. Octaammine- \( \mu \) -chloro- \( \mu \) -nitrodicobalt(III) sulphate
C. Octaammine- \( \mu \) -nitro- \( \mu \) -chlorodicobalt(III) sulphate
D. None of the above
Subject: Chemistry
Find correct order of polarising power
between \( A l^{+2} \) and \( B e^{+2} \) (both shows
digonal relationship):
A \( \cdot B e^{+2}>A l^{+2} \)
B. \( B e^{+2}<A l^{+2} \)
\( \mathbf{c} \cdot B e^{+2}>>A l^{+2} \)
D. \( B e^{+2}=A l^{+2} \)
Subject: Chemistry
Identify \( M \) and \( N \) in the following
reaction.
Copper glance controlledheating in presence
\( \boldsymbol{M}+\boldsymbol{S O}_{2} \uparrow \)
\( \boldsymbol{M} \stackrel{N}{\longrightarrow} \boldsymbol{C} \boldsymbol{u}+\boldsymbol{S} \boldsymbol{O}_{2} \uparrow \)
\( \boldsymbol{M} \stackrel{N}{\longrightarrow} \boldsymbol{C} \boldsymbol{u}+\boldsymbol{S} \boldsymbol{O}_{2} \uparrow \)
A . \( M=C u_{2} O ; N= \) self reduction
B. \( M=C u_{2} O+C u_{2} S ; N= \) self reduction
c. \( M=C u_{2} O ; N= \) carbon reduction
D. \( M=C u_{2} O ; N= \) electrolytic reduction
Subject: Maths
Differentiate the following w.r.t. \( x \)
\( \left(3 x^{2}+2\right)\left(4 x-3 x^{3}\right) \)
\( \mathbf{A} \cdot 45 x^{4}+18 x^{2}+8 \)
B. \( -45 x^{4}+18 x^{2}+8 \)
c. \( -45 x^{4}+15 x^{2}+8 \)
D. \( -45 x^{4}+18 x^{2}+18 \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\boldsymbol{x}+\boldsymbol{2} \sqrt{\boldsymbol{2} \boldsymbol{x}-\boldsymbol{4}}}+ \)
\( \sqrt{x-2 \sqrt{2 x-4}} \), then the value of
\( \mathbf{1 0} \boldsymbol{f}^{\prime}\left(\mathbf{1 0 2}^{+}\right) \) is
A . -1
B.
c. 1
D. Does not exist
Subject: Chemistry
Choose the strongest oxidizing pair
from the following:
\( \mathbf{A} \cdot N O, N_{2} O_{5} \)
\( \mathbf{B} \cdot H N O_{3}, H N O_{2} \)
\( \mathbf{c} \cdot H_{3} P O_{4}, H N O_{3} \)
D. \( H P O_{3}, H_{3} P O_{3} \)
Subject: Chemistry
Which one is the most powerful oxidizing
agent?
\( \mathbf{A} \cdot C l_{2}+2 e^{-} \rightarrow 2 C l^{-}, \quad E^{o}=1.36 V \)
B. \( N a^{+}+e^{-} \rightarrow N a, \quad E^{o}=-2.71 V \)
\( \mathbf{c} \cdot M n O_{4}^{-}+2 H_{2} O+3 e^{-} \rightarrow M n O_{2}+4 O H^{-}, \quad E^{o}= \)
\( 0.6 V \)
\( \mathbf{D} \cdot H_{2} O_{2}+2 H^{+}+2 e^{-} \rightarrow 2 H_{2} O, \quad E^{o}=1.78 V \)
Subject: Maths
Find the angle between the pair of lines
given by \( \vec{r}=3 \hat{i}+2 \hat{j}-4 \hat{k}+\lambda(\hat{i}+2 \hat{j}+2 \hat{k}) \)
and \( \vec{r}=5 \hat{i}-2 \hat{j}+\mu(3 \hat{i}+2 \hat{j}+6 \hat{k}) \)
Subject: Maths
\( A, B, C \) are three mutually independent
with probabilities 0.3,0.2 and 0.4 respectively. What is \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B} \cap \boldsymbol{C}) ? \)
A. 0.400
B. 0.240
c. 0.024
D. 0.500
Subject: Physics
The density of a body is represented by the expression:
Where \( V \) is the volume and \( M \) is the
mass of a body
A \( \cdot D=\frac{V}{M} \)
B. D=M X V
c. \( _{D}=\frac{1}{M \times V} \)
D. \( D=\frac{M}{V} \)
Subject: Maths
The compound statement, "If you want to top the school, then you do not study hard" is equivalent to
A. "If you want to top the school, then you need to study hard"
B. "If you will not top in the school, then you study hard""
c. "If you study hard, then you will not top the school".
D. "If you do not study hard, then you will top in the school"
Subject: Maths
Using differentials, find the approximate value of each of the
following up to 3 places of decimal.
(i) \( \sqrt{25.3} \)
(ii) \( \sqrt{49.5} \)
(iii) \( \sqrt{\mathbf{0 . 6}} \)
\( (i v)(0.009)^{\frac{1}{3}} \)
\( (v)(0.999)^{\frac{1}{10}} \)
\( (v i)(15)^{\frac{1}{4}} \)
(vii) \( (26)^{\frac{1}{3}} \)
\( (\text { viii })(255)^{\frac{1}{4}} \)
\( (i x)(82)^{\frac{1}{4}} \)
\( (x)(401)^{\frac{1}{2}} \)
\( (x i)(0.0037)^{\frac{1}{2}} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{3} & \mathbf{7} \\ \mathbf{2} & \mathbf{5}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{ll}\mathbf{6} & \mathbf{8} \\ \mathbf{7} & \mathbf{9}\end{array}\right] . \) Verify
\( \operatorname{that}(A B)^{-1}=B^{-1} A^{-1} \)
Subject: Physics
Assertion
The last element in a group is radioactive
Reason
In case of elements with high atomic
masses, nucleus is unstable.
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
Which of the following is not showing the essential difference between
electrostatic shielding by a conducting shell and magnetostatic shielding?
A. Electrostatic field lines can end on charges and conductors have free charges
B. Magnetic field lines can end but conductors cannot end them.
c. Lines of magnetic field cannot end on any material and perfect shielding is not possible.
D. shells of high permeability materials can be used to divert lines of magnetic field from the interior region
Subject: Physics
The pressure difference across a pipe of length \( 5 c m \) is \( 2 \times 10^{3} \) Pa. Work done by
the pressure in forcing \( 2 m^{3} \) of water through the pipe in joule is :
A \( \cdot 4 \times 10^{5} \)
B . \( 2 \times 10^{5} \)
\( c \cdot 2 \times 10^{4} \)
D. \( 4 \times 10^{3} \)
Subject: Physics
Assertion
Although the surface of goggles' lens is curved, it does not have any optical
power.
Reason
In case of goggles, both the curved surfaces have equal radii of curvature
and have centre of curvature on the
same side.
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
When a steady current of \( 2 A \) was
passed through two electrolytic cells \( \boldsymbol{A} \)
and \( B \) containing electrolytes \( Z n S O_{4} \)
and \( C u S O_{4} \) connected in series, \( 2 g \) of
\( C u \) were deposited at the cathode of
cell \( B \)
How long did the current flow?
What mass of \( Z n \) was deposited at
cathode of cell \( \boldsymbol{A} \) ?
[Atomic mass: \( C u= \)
\( \mathbf{6 3 . 5 g} \mathbf{m o l}^{-\mathbf{1}}, \mathbf{Z n}=\mathbf{6 5 g} \mathbf{m o l}^{-\mathbf{1}} ; \mathbf{1} \mathbf{F}= \)
\( \left.96500 C m o l^{-1}\right] \)
Subject: Chemistry
Equations relating to acidic properties of an aq. solution of HCl gas is/are:
A \( \cdot H C l(g)+H_{2} O \rightleftharpoons H_{3} O^{+}+C l \)
в. \( Z n(O H)_{2}+2 H C l \rightarrow Z n C l_{2}+2 H_{2} O \)
c. \( M n O_{2}+4 H C l \rightarrow M n C l_{2}+C l_{2}+2 H_{2} O \)
D. all of the above
Subject: Maths
\( \int x\left(f\left(x^{2}\right) g^{\prime \prime}\left(x^{2}\right)-f^{\prime \prime}\left(x^{2}\right) g\left(x^{2}\right)\right) d x= \)
A \( \cdot f\left(x^{2}\right) g^{\prime}\left(x^{2}\right)-g\left(x^{2}\right) f^{\prime}\left(x^{2}\right)+c \)
B \( \cdot \frac{1}{2}\left(f\left(x^{2}\right) g\left(x^{2}\right) f^{\prime}\left(x^{2}\right)\right)+c \)
c. \( \frac{1}{2}\left(f\left(x^{2}\right) g^{\prime}\left(x^{2}\right)-g\left(x^{2}\right) f^{\prime}\left(x^{2}\right)\right)+c \)
D. none of these
Subject: Physics
Assertion
A cloth covers a table. Some dishes are
kept on it. The cloth can be pulled out without dislodging the dishes from the
table
Reason
For every action, there is an equal and opposite reaction.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy(K.E.) and total energy (T.E.) are measured as function of
displacement x. Which of the following
statement is true?
A. K.E. is maximum when \( x=0 \)
B. T.E. is zero when \( x=0 \)
c. K.E. is maximum when x is maximum
D. P.E. is maximum when \( x=0 \)
Subject: Physics
An aircraft is flying at a height of
\( 2800 m \) above the ground. The angle
subtended by it in \( 10 s \) is \( 30^{\circ} . \) Find the
speed of the aircraft.
A \( \cdot 150 m s^{-1} \)
B. \( 100 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 140 \mathrm{ms}^{-1} \)
D. \( 125 \mathrm{ms}^{-1} \)
Subject: Physics
A particle moves along the \( x \) -axis
according to: \( \boldsymbol{x}=\boldsymbol{A}[\mathbf{1}+\boldsymbol{s} \boldsymbol{i} \boldsymbol{n} \boldsymbol{\omega} \boldsymbol{t}] . \) What
distance does it travel between \( t=0 \) and
\( \boldsymbol{t}=\mathbf{2 . 5} \boldsymbol{\pi} / \boldsymbol{\omega} ? \)
A. \( 4 A \)
B. 6A
\( c \cdot 5 A \)
D. None
Subject: Maths
Compute the following:
(i) \( \left[\begin{array}{cc}\boldsymbol{a} & \boldsymbol{b} \\ -\boldsymbol{b} & \boldsymbol{a}\end{array}\right]+\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{a}\end{array}\right] \)
(ii) \( \left[\begin{array}{ll}\boldsymbol{a}^{2}+\boldsymbol{b}^{2} & \boldsymbol{b}^{2}+\boldsymbol{c}^{2} \\ \boldsymbol{a}^{2}+\boldsymbol{c}^{2} & \boldsymbol{a}^{2}+\boldsymbol{b}^{2}\end{array}\right]+ \)
\( \left[\begin{array}{cc}2 a b & 2 b c \\ -2 a c & -2 a b\end{array}\right] \)
(iii) \( \left[\begin{array}{cc}-14-6 \\ 8516 \\ 285\end{array}\right]+\left[\begin{array}{c}1276 \\ 805 \\ 324\end{array}\right] \)
\( (\operatorname{iv})\left[\begin{array}{cc}\cos ^{2} x & \sin ^{2} x \\ \sin ^{2} x & \cos ^{2} x\end{array}\right]+\left[\begin{array}{cc}\sin ^{2} x & \cos ^{2} x \\ \cos ^{2} x & \sin ^{2} x\end{array}\right] \)
Subject: Chemistry
A photon of wavelength \( 4 \times 10^{-7} m \)
strike on metal surface,the work
function of the metal being \( 2.13 e V \)
\( \left(1 e V=1.6020 \times 10^{-19} J\right) \) calculate the
velocity of the photoelectron in \( n \times \) \( 10^{5} m s^{-1} \)
Subject: Chemistry
The
\( \boldsymbol{E}^{\ominus} \) for \( \boldsymbol{C u}^{2+} / \boldsymbol{C u}^{\oplus}, \boldsymbol{C u}^{\oplus} / \boldsymbol{C u}, \boldsymbol{C u}^{2+} / \boldsymbol{C} \)
are \( 0.15 \vee, 0.50 \mathrm{V}, \) and \( 0.325 \mathrm{V} \)
respectively. The redox cell showing redox reaction \( 2 C u^{+}, \rightarrow C u^{2+}+C u \)
is made. \( E^{\ominus} \) of this cell reaction and
\( \Delta G^{\ominus} \) may be :
A \( \cdot E^{\ominus}=0.175 V \) or \( E^{\ominus}=0.350 V \)
B. \( n=1 \) or 2
c. \( \Delta G^{\ominus}=-33.775 k J \)
D. All of these
Subject: Chemistry
B.0.D values of four samples of water \( A \)
\( \mathrm{B} \mathrm{C} \) and \( \mathrm{D} \) are given below
A. 160 ppm
B. 35 ppm
C. 180 ppm
D. 25 ppm The decreasing order of extent of pollution in water is ?
\( A \cdot C>A>D>B \)
B. \( D>B>A>C \)
\( c \cdot c>A>B>D \)
D. D >A > B > C
Subject: Chemistry
If in a solvent, n simple molecules of solute combine to form an associated
molecule, \( \alpha \) is the degree of association, the van't Hoff's factor is
equal to:
A. \( \frac{1}{1-n \alpha} \)
B. \( 1-\alpha+n \alpha \)
\( c \cdot_{1-\alpha+\frac{\alpha}{n}} \)
D. \( \frac{\alpha}{n}-1+\alpha \)
Subject: Chemistry
The density of \( 3 M \) solution of \( N a C l \) is
\( 1.25 g m l^{-1} . \) The molality of the solution
is:
A \( .2 .79 \mathrm{m} \)
В. 1.79 m
c. \( 3.5 \mathrm{m} \)
D. 5.58 m
Subject: Maths
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random
from the bag. The probability that all of
them are red, is:
A \( \cdot \frac{1}{91} \)
в. \( \frac{2}{91} \)
c. \( \frac{3}{91} \)
D. \( \frac{4}{91} \)
Subject: Maths
The value of \( \cos ^{-1}\left(\cos \frac{5 \pi}{3}\right)+ \)
\( \sin ^{-1}\left(\sin \frac{5 \pi}{3}\right) \) is
A \( \cdot \frac{\pi}{2} \)
В. \( \frac{5 \pi}{2} \)
\( c \cdot \frac{10 \pi}{2} \)
D.
Subject: Physics
Identity the correct statements from the
following:
This question has multiple correct options
A. When hot water is poured into a thickly walled glass tumbler suddenly it develops cracks because of unequal expansions of the surfaces.
B. For the use of hot liquids, thin-walled glass containers are preferred
C. A steel disc is fixed tightly in a hole in a brass plate. The disc can be separated by cooling.
D. Bimetallic strip works on the principle of unequal expansions.
Subject: Chemistry
I. \( 2 M n^{2+}(a q)+4 O H^{-}(a q)+ \)
\( O_{2}(g) \rightarrow 2 M n O_{2}(s)+2 H_{2} O(l) \)
II. \( M n O_{2}(s)+2 I^{-}(a q)+ \)
\( 4 H^{+}(a q) \rightarrow M n^{2+}(a q)+I_{2}(a q)+ \)
\( 2 H_{2} O(l) \)
III. \( 2 S_{2} O_{3}^{2-}(a q)+I_{2}(a q) \rightarrow \)
\( \boldsymbol{S}_{4} \boldsymbol{O}_{\mathbf{6}}^{2-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{I}^{-}(\boldsymbol{a} \boldsymbol{q}) \)
Dissolved oxygen in water is determined by using the given redox reactions.When \( 3 \times 10^{3} \) moles \( O_{2} \) is
dissolved per litre of water, then
what will be the molarity of \( I^{-} \) produced
in the given reaction?
A \( \cdot 3 \times 10^{-3} \) М
В. \( 4 \times 3 \times 10^{-3} \mathrm{M} \)
c. \( 2 \times 3 \times 10^{-3} \) М
D. \( \frac{1}{2} \times 3 \times 10^{-3} \mathrm{M} \)
Subject: Chemistry
When \( 1.0 g \) of oxalic acid \( \left(H_{2} C_{2} O_{4}\right) \) is
burned in a bomb calorimeter whose
heat capacity is \( 8.75 k J / K \), the
temperature increases by \( 0.312 K . \) The enthalpy of combustion of oxalic acid at
\( \mathbf{2 7}^{\circ} \boldsymbol{C} \) is :
\( \boldsymbol{H}_{2} \boldsymbol{C}_{2} \boldsymbol{O}_{4}(\boldsymbol{l})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})+ \)
\( 2 C O_{2}(g) \)
A . \( -245.7 k J / \) mol
B . \( -244.452 k J / \) mol
c. \( -246.947 k J / \) mol
D. none of these
Subject: Physics
For a common emitter amplifier,
current gain is \( 60 . \) If the emitter current is \( 6.6 m A \), the base current is
\( \mathbf{A} \cdot 1.08 \mathrm{mA} \)
B . \( 10.8 \mathrm{mA} \)
c. \( 0.108 m A \)
D. \( 8.01 \mathrm{mA} \)
Subject: Physics
A wire has a diameter of \( 0.2 m m \) and a
length of \( 50 \mathrm{cm} . \) The specific resistance
of it's material is \( 40 \times 10^{-6} \) ohmcm.
The current through it, when a potential difference of \( 2 V \) is applied across it, is
\( \mathbf{A} \cdot 3 \cdot 14 A \)
B . \( 31.4 A \)
c. \( 0.314 A \)
D. \( 0.0314 A \)
Subject: Chemistry
For the reduction of FeO at the
temperature corresponding to point \( \mathrm{D} \)
which of the following statement is
correct?
\( \mathbf{A} \cdot \triangle G^{0} \) value for the overall reduction with carbon
monoxide is zero
B. \( \triangle G^{0} \) value for the overall reaction with a mixture of
mol carbon and 1 mol oxygen is positive.
C \( . \triangle G^{0} \) value for the overall reduction with a mixture of 2 mol carbon and 1 mol oxygen will be positive.
D. \( \triangle G^{0} \) value for the reduction reaction with carbon
monoxide is negative
Subject: Maths
The sum of the infinite series \( \cot ^{-1} 2+ \)
\( \cot ^{-1} 8+\cot ^{-1} 18+\cot ^{-1} 32+\ldots . . \) is
equal to
A . \( \pi / 3 \)
в. \( \pi / 4 \)
c. \( \pi / 6 \)
D. \( \pi / 8 \)
Subject: Maths
A sum of money at compound interest amounts to Rs. 10580 in 2 years and to
Rs. 12167 in 3 years. The rate of interest
per annum is
A . \( 12 \% \)
B . \( 14 \% \)
\( c .15 \% \)
D. \( 16 \frac{2}{3} \% \)
Subject: Chemistry
A student performs a titration with different burettes and finds titre values
of \( 25.2 \mathrm{mL}, 25.25 \mathrm{mL} \) and \( 25.0 \mathrm{mL} . \) The
number of significant figures in the average titre value is:
A . 3
B. 4
\( c \cdot 2 \)
D. none of the above
Subject: Maths
\( \int \frac{d x}{x^{2} \sqrt{4-x^{2}}} \) is equal to
\( \mathbf{A} \cdot \frac{1}{4}\left(\frac{\sqrt{4-x^{2}}}{x}\right)+C \)
\( \mathbf{B} \cdot \frac{1}{2}\left(\frac{\sqrt{4-x^{2}}}{x}\right)+C \)
\( \mathbf{C} \cdot-\frac{1}{4}\left(\frac{\sqrt{4-x^{2}}}{x}\right)+C \)
D \( -\frac{1}{2}\left(\frac{\sqrt{4-x^{2}}}{x}\right)+C \)
Subject: Maths
Prove:
\( \sin ^{-1}\left(\frac{1}{x}\right)=\operatorname{cosec}^{-1} x, \forall x \geq 1 \) or \( x \leq \)
-1
\( \cos ^{-1}\left(\frac{1}{x}\right)=\sec ^{-1} x, \forall x \geq 1 \) or \( x \leq \)
-1
\( \tan ^{-1}\left(\frac{1}{x}\right)=\cot ^{-1} x, \quad \forall x>0 \)
Subject: Physics
The diagrams below show regions of equipotentials. A positive charge is moved from \( A \) to \( b \) in each diagram.
A. Maximum work is required to move \( q \) in figure (b)
B. Maximum work is required to move \( q \) in figure(c)
\( \mathrm{c} . \) In all the cases the work done is the same
D. Minimum work is required to move \( q \) in figure(a)
Subject: Physics
A progressive wave of frequency \( 500 H z \) is travelling with a speed of \( 330 m / s \) in air. The distance between the two points which have a phase
difference of \( 30^{\circ} \) is:
A . \( 0.11 m \)
в. 0.055 т
c. \( 0.22 m \)
D. 0.025 m
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{cc}\mathbf{7} & \mathbf{2} \\ \mathbf{1} & \mathbf{3}\end{array}\right) \) and \( \boldsymbol{A}+\boldsymbol{B}= \)
\( \left(\begin{array}{cc}\mathbf{- 1} & \mathbf{0} \\ \mathbf{2} & \mathbf{- 4}\end{array}\right) \) then matrix \( \boldsymbol{B}=\mathbf{?} \)
\( \mathbf{A} \cdot\left(\begin{array}{cc}1 & 0 \\ 1 & 1\end{array}\right) \)
B. \( \left(\begin{array}{cc}6 & 2 \\ 3 & -1\end{array}\right) \)
c. \( \left(\begin{array}{cc}-8 & -2 \\ 1 & -7\end{array}\right) \)
D. \( \left(\begin{array}{cc}8 & 2 \\ -1 & 7\end{array}\right) \)
Subject: Physics
A person in a vehicle is moving away from a vertical mountain with uniform
velocity. When the vehicle is at a distance \( 975 \mathrm{m} \) from mountain, the person blows a horn and hears its echo after 6 s. If velocity of sound in air is 340
\( \mathrm{ms}^{-1}, \) the velocity of the vehicle is :
A. 36 kmph
B. 54 kmph
c. 72 kmph
D. 90 kmph
Subject: Maths
If the sum of measures of two angles of
a hexagon is \( 220^{\circ}, \) then what is the sum of the measures of other four angles?
A . \( 800^{\circ} \)
B. \( 700^{\circ} \)
\( c \cdot 600^{\circ} \)
D. \( 500^{\circ} \)
Subject: Chemistry
lonic product of \( \boldsymbol{H}_{2} \boldsymbol{O} \) is \( \mathbf{1 0}^{-14} \). The \( \boldsymbol{H}^{+} \)
ion concentration in \( 0.1 M \) NaOH
solution is:
A \( \cdot 10^{-11} M \)
В . \( 10^{-13} M \)
\( \mathbf{c} \cdot 10^{-1} M \)
D. \( 10^{-4} M \)
Subject: Physics
A plane surface is inclined at an angle
of \( 60^{0} \) with the horizontal. A body of
mass \( 10 \mathrm{kg} \) is uniformly accelerating, along the inclined plane surface. The
value of coefficient of friction \( \mu_{k} \)
between the body and the inclined
surface is \( 0.2, \) if the length of the
inclined plane is \( 10 \mathrm{m} \), then the work
done to pull it to the top is ( Take \( \boldsymbol{g}= \)
\( 10 m / s^{2} \)
A . 666 J
B. 766 J
c. 866 J
D. 966 J
Subject: Maths
A chord of a circle of radius \( 12 \mathrm{cm} \)
subtends an angle of \( 120^{\circ} \) at the centre.
Find the area of the corresponding segment of the circle. (Use \( \pi=3.14 \text { and } \sqrt{3}=1.73) \)
\( \mathbf{A} \cdot 88.44 \)
B. 94.88
c. 43.88
D. 54.88
Subject: Maths
In the figure given, the measure in
degrees of \( \angle A B C \) is \( 72^{\circ} . \) Find the value
of \( \boldsymbol{x} \)
\( \mathbf{A} \cdot 18^{\circ} \)
B. \( 24^{\circ} \)
\( c \cdot 27^{\circ} \)
\( \mathbf{D} \cdot 30^{\circ} \)
Subject: Physics
A small magnet is suspended freely by a vertical string. The horizontal and vertical components of Earth's field is \( 20 \mu T \) and \( 30 \mu T \) respectively. Find the
angle from horizontal at which magnet will stay in equilibrium.
A \( \cdot \tan ^{-1}\left(\frac{3}{2}\right) \)
B \( \cdot \tan ^{-1}\left(\frac{2}{3}\right) \)
\( ^{c} \cdot \sin ^{-1}\left(\frac{2}{3}\right) \)
D. \( \cos ^{-1}\left(\frac{2}{3}\right) \)
Subject: Chemistry
Which of the following sequences of
reactions must be carried out
respectively to get a secondary alcohol
for primary alcohol?
A. Oxidation reaction with \( R-M g-I \), hydrolysis \( / H^{+} \)
B. Oxidation reaction with \( R-M g-C l \), hydrolysis/ \( H^{+} \)
C . Hydrolysis/ \( H^{+}, \) oxidation reaction with \( R-M g-O \)
D. Oxidation
Subject: Chemistry
Balance the following equation.
\( \boldsymbol{H}_{2} \boldsymbol{S}+\boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-}+\boldsymbol{H}^{+} \rightarrow \boldsymbol{C r}_{2} \boldsymbol{O}_{3}+ \)
\( \boldsymbol{S}_{8}+\boldsymbol{H}_{2} \boldsymbol{O} \)
\( \mathbf{A} \cdot 24 H_{2} S+8 C r_{2} O_{7}^{2-}+16 H^{+} \rightarrow 8 C r_{2} O_{3}+3 S_{8}+32 H_{2} O \)
B \( \cdot 24 H_{2} S+3 C r_{2} O_{7}^{2-}+6 H^{+} \rightarrow 7 C r_{2} O_{3}+3 S_{8}+32 H_{2} O \)
\( \mathbf{c} \cdot 24 H_{2} S+8 C r_{2} O_{7}^{2-}+5 H^{+} \rightarrow 6 C r_{2} O_{3}+4 S_{8}+32 H_{2} O \)
D. None of these
Subject: Physics
The accuracy of measurement also lies
in the way the result is expressed. The number of digits to which a value is to
be expressed is one digit more than
number of sure numbers. Rules do exist
to deal with number of digits after an
operation is carried out on the given values. The error can be minimised by
many trials and using the correct methods and instruments.
If the length and breadth are measured as 4.234 and \( 1.05 \mathrm{m}, \) the area of the
rectangle is
A \( .4 .4457 m^{2} \)
B . \( 4.45 \mathrm{m}^{2} \)
c. \( 4.446 m^{2} \)
D. \( 0.4446 m^{2} \)
Subject: Chemistry
18 g of glucose, \( C_{6} H_{12} O_{6}, \) is dissolved in \( 1 \mathrm{kg} \) of water in a saucepan. At what temperature will the water boil (1.013
bar pressure)? \( K_{b} \) for water is \( 0.52 \mathrm{K} \mathrm{kg} \)
\( m o l^{-1} \)
Subject: Maths
If \( e \) and \( e^{\prime} \) be the eccentricities of two
conics \( S=0 \) and \( S^{\prime}=0 \) and if \( e^{2}+ \)
\( e^{\prime 2}=3, \) then both \( S \) and \( S^{\prime} \) can be
A. hyperbolas
B. ellipses
c. parabolas
D. none of these
Subject: Chemistry
Which of the following statement(s)
is/are true?
This question has multiple correct options
\( \mathbf{A} \cdot \) In metal carbonyl complexes \( d_{C-O} \) increases compared to that in CO molecule
B. The pair of compounds \( \left[C r\left(H_{2} O\right)_{6}\right] C l_{3} \) and \( \left[C r C l_{3}\left(H_{2} O\right)_{3}\right] \cdot 3 H_{2} O \) show hydrate isomerism.
\( \mathrm{C} \cdot d_{z 2} \) orbital of central metal atom/ion is used in \( d s p^{2} \) hybridisation.
D. Facid and Meridional isomers associated with
\( \left[M a_{3} b_{3}\right]^{n \pm} \) type complex compound, both are optically inactive.
Subject: Physics
The angle of incidence for a ray of light
at a refracting surface of a prism is \( 45^{\circ} \)
The angle of prism is \( 60^{\circ} . \) If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of
the prism respectively, are
\( ^{\mathrm{A}} \cdot_{45^{\circ} ;} \frac{1}{\sqrt{2}} \)
B . \( 30^{\circ} ; \sqrt{2} \)
c. \( 45^{\circ} ; \sqrt{2} \)
D. \( 30^{\circ} ; \frac{1}{\sqrt{2}} \)