AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The normal drawn to the surface of a
conductor makes an angle \( \theta \) with the direction of field \( \vec{B}, \) the flux \( \phi \) passing through the area \( \vec{A} \) is given by
A. \( \phi=A B \sin \theta \)
в. \( _{\phi}=\frac{B}{A} \)
c. \( \phi=B A \)
D. \( \phi=B A \cos \theta \)
Subject: Maths
Assertion
Let \( A \) be a \( 2 \times 2 \) matrix with real
entries. Let \( I \) be the \( 2 \times 2 \) identity
matrix. Denote by \( t r(A), \) the sum of
diagonal entries of \( A \). Assume that
\( \boldsymbol{A}^{2}=\boldsymbol{I} \)
If \( \boldsymbol{A} \neq \boldsymbol{I} \) and \( \boldsymbol{A} \neq-\boldsymbol{I}, \) then \( \operatorname{det}(\boldsymbol{A})=-\mathbf{1} \)
Reason
If \( \boldsymbol{A} \neq \boldsymbol{I} \) and \( \boldsymbol{A} \neq-\boldsymbol{I}, \) then \( \boldsymbol{t r}(\boldsymbol{A}) \neq \mathbf{0} \)
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
At \( p H=4, C r_{2} O_{4}^{2-} \) exists as:
A \( \cdot C r O_{4}^{2-} \)
в. \( C r O_{3} \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{2}^{2+} \)
D. \( C r_{2} O_{7}^{2} \)
Subject: Chemistry
Assertion
Electrons revolve round the nucleus at
high speeds.
Reason
The motion of electrons
counterbalances the nuclear forces of
attraction.
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
Calculate the power used in the \( 2 \Omega \)
resistor in each of the following circuits:
(i) a \( 6 V \) battery in series with \( 1 \Omega \) and \( 2 \Omega \)
resistors, and (ii) a \( 4 V \) battery in parallel with \( 12 \Omega \) and \( 2 \Omega \) resistors.
Subject: Chemistry
lce begins to separate at \( -0.744^{\circ} \mathrm{C} \) from a solution containing 2.4 g of nonvolatile, non-electrolyte in 100 g water. Calculate the molar mass of solute, \( \boldsymbol{K}_{\boldsymbol{f}} \)
for \( \boldsymbol{H}_{2} \boldsymbol{O} \) is \( 1.86 \mathrm{K} \) mol\( ^{-1} \boldsymbol{k} \boldsymbol{g} \). Assume
mass of solvent is equal to mass of solution. Answer in g/mol.(Enter the answer as \( \frac{M a s s}{10} \) ).
Subject: Maths
Find the common factors of
\( 3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z \)
A \( \cdot x^{2} y^{2} \)
B. \( x y^{2} \)
c. \( x^{2} y \)
D. \( x y \)
Subject: Chemistry
Compute the enthalpy of formation of liquid methyl alcohol in kJ \( m o l^{-1}, \) using
the following data. Enthalpy of vaporization of liquid \( \boldsymbol{C H}_{3} \boldsymbol{O H}= \) \( 38 k J / \) mol.

Enthalphy of formation of gaseous
atoms from the elements in their
standard states are enthalpy of
formation of gaseous atoms from the elements in their standard states are
\( \boldsymbol{H} \rightarrow 218 \mathrm{kJ} / \mathrm{mol} ; \boldsymbol{C} \rightarrow 715 \mathrm{kJ} / \mathrm{mol} ; \boldsymbol{O} \)
\( \rightarrow 249 \mathrm{kJ} / \mathrm{mol} \)
Bond Enthalpies \( \boldsymbol{C}-\boldsymbol{H} \rightarrow 415 \mathrm{kJ} / \mathrm{mol} ; \boldsymbol{C}-\boldsymbol{O} \rightarrow 356 \mathrm{kJ} \)
\( \mid \mathrm{mol} ; \boldsymbol{O}-\boldsymbol{H} \rightarrow \mathbf{4 6 3} \mathrm{kJ} / \mathrm{mol} \)
Subject: Physics
Two equal charges q of opposite sign are separated by a small distance '2l.' The
electric potential at a point on the
perpendicular bisector of the line joining
the two charges at a distance r is:
\( \mathbf{A} \cdot \frac{1}{4 \pi \varepsilon_{0}} \frac{q}{r} \)
B. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{2 q}{r} \)
c. zero
D. \( \frac{1}{4 \pi \varepsilon_{0}} \frac{2 q}{r^{2}} \)
Subject: Chemistry
When \( A g N O_{3} \) is heated strongly, the
products formed are :
A \( \cdot N O \) and \( N O_{2} \)
B. \( N O_{2} \) and \( N_{2} O \)
c. \( N O_{2} \) and \( O_{2} \)
D. \( N O \) and \( O_{2} \)
Subject: Chemistry
Assertion
Greater is critical temperature more easily a gas can be liquified.
Reason
Critical temperature depends on the magnitude of intermolecular forces of attraction between the gas.
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
Given the standard half-cell potentials
\( \left(E^{o}\right) \) of the following as
\( Z n=Z n^{2+}+2 e^{-} ; \quad E^{o}=+0.76 \mathrm{V} \)
\( \boldsymbol{F e}=\boldsymbol{F} \boldsymbol{e}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} ; \quad \boldsymbol{E}^{o}=+\mathbf{0 . 4 1} \mathbf{V} \)
Then the standard e.m.f. of the cell with
the reaction \( \boldsymbol{F e}^{2+}+\boldsymbol{Z n} \rightarrow \boldsymbol{Z n}^{2+}+\boldsymbol{F e} \)
is?
A . \( -0.35 v \)
B. \( +0.35 v \)
c. \( +1.17 v \)
D. \( -1.17 v \)
Subject: Physics
A force \( \overrightarrow{\boldsymbol{F}}=2 \hat{\boldsymbol{i}}-\boldsymbol{3} \hat{\boldsymbol{k}} \) acts on a particle
at \( \vec{r}=0.5 \hat{j}-2 \hat{k} . \) The torque \( \vec{\Gamma} \) acting
on the particle relative to a point with co-ordinates \( (2.0 \mathrm{m}, 0 ;-3.0 \mathrm{m}) \) is?
Subject: Maths
In a sequence, \( a_{n}=n^{2}-1 \) then \( a_{n+1} \) is
equal to
A \( \cdot a^{2}-5 n \)
B . \( n^{2}-2 n \)
c. \( a^{2}+10 n \)
D. \( n^{2}+2 n \)
Subject: Physics
Let \( E_{1} \) and \( E_{2} \) be the binding energies of two nuclei \( A \) and \( B . \) It is observed that
two nuclei of A combine together to
form a B nucleus. This observation is
correct only if
A \( \cdot E_{1}>E_{2} \)
в. \( E_{2}>E_{1} \)
c. \( E_{2}<2 E_{1} \)
D. nothing can be said
Subject: Chemistry
The rate law for the single-step reaction \( \mathbf{2} \boldsymbol{A}+\boldsymbol{B} \rightarrow \mathbf{2} \boldsymbol{C}, \) is given by
A \( \cdot \) rate \( =k[A][B \)
B . rate \( =k[A]^{2}[B] \)
c. rate \( =k[2 A][B] \)
D. rate \( =k[A]^{2}[B]^{0} \)
Subject: Maths
If \( p_{1}, p_{2}, p_{3} \) are lengths of
perpendiculars from points \( \left(\boldsymbol{m}^{2}, \mathbf{2 m}\right) \) \( \left(m m^{\prime}, m+m^{\prime}\right) \) and \( \left(m^{\prime}^{2}, 2 m^{\prime}\right) \) to the
line \( x \cos \alpha+y \sin \alpha+\frac{\sin ^{2} \alpha}{\cos \alpha}=0 \) then
\( \boldsymbol{p}_{1}, \boldsymbol{p}_{2}, \boldsymbol{p}_{3} \) are in
A. A.P
в. G...P
c. н.P
D. A.G.P.P
Subject: Maths
ff \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right] \) such that \( \boldsymbol{A} \) satisfies the
relation \( \boldsymbol{A}^{2}-(\boldsymbol{a}+\boldsymbol{d}) \boldsymbol{A}=\mathbf{0}, \) then
inverse of \( \boldsymbol{A} \) is
A . \( I \)
в.
c. \( (a+d) A \)
D. none of these
Subject: Maths
If \( \mathbf{A}=\left[\mathbf{a}_{\mathbf{i} \mathbf{j}}\right] \) is a scalar matrix of order
\( \boldsymbol{n} \times \boldsymbol{n} \) such that \( \mathbf{a}_{\mathbf{i j}}=\mathbf{k} \) for all \( \mathbf{i}=\boldsymbol{j}, \) then
trace of \( \mathbf{A}= \)
\( A \cdot \) nk
B. \( n+k \)
c. \( \frac{n}{k} \)
D.
Subject: Physics
You apply a \( 75-N \) force to pull a
child's wagon across the floor at a constant speed \( 0.5 m / s . \) If you increase
your pull to \( 90 N, \) the wagon will then
A. continue to move at \( 0.5 \mathrm{m} / \mathrm{s} \)
B. Speed up immediately and then move at the faster constant speed of \( 0.6 \mathrm{m} / \mathrm{s} \)
c. speed up gradually until it reaches the speed of \( 0.6 m / s \) and then move at that constant speed
D. continue to speed up as long as you keep pulling
E. Do none of the above
Subject: Chemistry
In which of the following reaction
hydrogen peroxide acts as reducing
agent?
\( \mathbf{A} \cdot P b S+4 H_{2} O_{2} \rightarrow P b S O_{4}+4 H_{2} O \)
B. \( N a_{2} S O_{3}+H_{2} O_{2} \rightarrow N a_{2} S O_{4}+H_{2} O \)
\( \mathbf{c} \cdot A g_{2} O(\text { moist })+H_{2} O_{2} \rightarrow 2 A g+H_{2} O+O_{2} \)
D. \( 2 K I+H_{2} O_{2}+H_{2} S O_{4} \rightarrow K_{2} S O_{4}+I_{2}+H_{2} O_{2} \)
Subject: Chemistry
For \( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{N O}_{3}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( \boldsymbol{C u}^{2+}(\boldsymbol{a q})+\boldsymbol{N O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(l), \) which
of the following takes place?
A. \( C u(s) \) is oxidized
B . \( H^{+}(a q) \) is oxidized
c. \( C u(s) \) is reduced
D. \( H^{+}(a q) \) is reduced
E . \( N O_{3}^{-} \) is oxidized
Subject: Physics
A thin metallic spherical shell contains
a charge \( Q \) on its surface. A point
charge \( q_{1} \) is placed at the centre of the
shell and another charge \( q_{2} \) is placed
outside the shell. All the three charges
are positive. Then, the force on charge \( \boldsymbol{q}_{1} \)
is
A. Towards left
B. Towards right
D. zero
Subject: Physics
In a hypothetical star,two carbon nuclei fuse to form magnesium.The reaction is:(take :1amu \( \left.=\mathbf{9 3 1} \text { Me } \boldsymbol{V} / \mathbf{c}^{\mathbf{2}}\right) \)
\( ^{12} \boldsymbol{C}+^{12} \boldsymbol{C} \rightarrow^{24} \boldsymbol{M} \boldsymbol{g} \)
The energy released per carbon nuclei
is: (Mass of \( \left.^{24} M g=23.985 a m u\right) \)
A. 13.965 MeV
В. 11.12 Ме \( V \)
c. 6.982 MeV
D. 10.12 MeV
Subject: Physics
Three vectors \( \vec{P}, \vec{Q}, \vec{R} \) are such that the \( |\overrightarrow{\boldsymbol{P}}|=|\overrightarrow{\boldsymbol{Q}}|,|\overrightarrow{\boldsymbol{R}}|=\sqrt{\mathbf{2}}|\overrightarrow{\boldsymbol{P}}| \) and \( \overrightarrow{\boldsymbol{P}}+\overrightarrow{\boldsymbol{Q}} \)
\( +\vec{R}=0 . \) The angle between \( \vec{P} \) and \( \vec{Q}, \vec{Q} \) and \( \vec{R} \) and \( \vec{P} \) and \( \vec{R} \) will be respectively.
B . \( 90^{\circ}, 45^{\circ} \), \( 45^{\circ} \)
c. \( 45^{\circ}, 90^{\circ}, 90^{\circ} \)
D . \( 45^{\circ}, 135^{\circ}, 135^{\circ} \)
Subject: Chemistry
Which of the following compounds has the highest boiling point?
A \( \cdot C H_{3} C H_{2} C H_{2} C l \)
B. \( C H_{3} C H_{2} C H_{2} C H_{2} C l \)
c. \( C H_{3} C H\left(C H_{3}\right) C H_{2} C l \)
D. \( \left(C H_{3}\right)_{3} C C l \)
Subject: Physics
Energy released if mass of 2 amu
is converted into energy is :
\begin{tabular}{l} 
A. \( 1.5 \times 10^{-10} \mathrm{J} \) \\
\hline
\end{tabular}
В. \( 3 \times 10^{-10} J \)
c. \( 1863 J \)
D. \$\$931.5 IMev\$\$
Subject: Physics
How much amount of heat is required to raise the temperature of 100 g of water from \( 30^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} ? \) The specific heat
of water \( =4.2 J g^{-1 o} C^{-1} \)
A . 25.5 k
B. 29.4 k
c. \( 30 k J \)
D. 40 kJ
Subject: Maths
If \( A B C \) is a triangle, then the vectors
\( (-1, \cos C, \cos B),(\cos C,-1, \cos A) \)
and \( (\cos B, \cos C,-1) \) are
A. linearly independent for all triangles
B. linearly dependent for all triangles
c. linearly independent for all isosceles triangles
D. none of these
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}1 & \tan x \\ -\tan x & 1\end{array}\right], \) then \( A^{T} A^{-1} \) is
\( \mathbf{A} \cdot\left[\begin{array}{ll}-\cos 2 x & \sin 2 x \\ -\sin 2 x & \cos 2 x\end{array}\right] \)
В. \( \left[\begin{array}{cc}\cos 2 x & -\sin 2 x \\ \sin 2 x & \cos 2 x\end{array}\right] \)
c. \( \left[\begin{array}{cc}\cos 2 x & \cos 2 x \\ \cos 2 x & \sin 2 x\end{array}\right] \)
D. none of these
Subject: Chemistry
Which of the following sets of quantum numbers is correct for an electron in \( 3 d \)
orbital?
A \( \cdot n=3, l=2, m=-3, s=+\frac{1}{2} \)
в. \( n=3, l=3, m=+3, s=-\frac{1}{2} \)
c. \( n=3, l=2, m=-2, s=+\frac{1}{2} \)
D. \( n=3, l=2, m=-3, s=-\frac{1}{2} \)
Subject: Chemistry
A monomeric anhydrous complex of Co gives the following results:
\( C o: 21.24 \% \)
\( N H_{3}: 24.77 \% \)
\( C l^{-}: 12.81 \% \)
\( S O_{4}^{2-}: 34.65 \% \)
\( H_{2} O: 6.53 \% \)
\( (c o: 58, C l=35.5, s=32, N=14) ; Z(C 0= \)
27)
The compound is diamagnetic and
gives white ppt with \( B a C l_{2} . \) What is its empirical formula?
A \( \cdot \operatorname{Co}\left(N H_{3}\right)_{4} S O_{4} \cdot H_{2} O C l_{2} \)
в. \( \operatorname{Co}\left(N H_{3}\right)_{2} S O_{2} \cdot H_{2} O C l \)
c. \( \operatorname{Co}\left(N H_{3}\right)_{4} \operatorname{SO}_{4} \cdot H_{2} \) OCl
D. None of the above
Subject: Physics
The volume of glass vessel is \( 1000 \mathrm{cc} \) at
\( 20^{\circ} \mathrm{C} . \) What volume of mercury should
be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Coefficient of cubical expansion of
mercury and glass are \( 1.8 \times \) \( \mathbf{1 0}^{-4} /^{\circ} \mathbf{C} \) and \( \mathbf{9 . 0} \times \mathbf{1 0}^{-\mathbf{5}} /^{\circ} \mathbf{C} \)
respectively.
A . 100 c.
в. \( 10 \mathrm{cc} \)
c. \( 500 c c \)
D. 5 с.
Subject: Chemistry
The cell constant of a conductivity cell
with electrodes of \( 0.5 \mathrm{cm} \times 0.5 \mathrm{cm} \) with a
separation of \( 0.5 \mathrm{cm}, \) is:
A. \( 0.5 \mathrm{cm}^{-1} \)
B. \( 2.0 \mathrm{cm}^{-1} \)
\( c .2 .0 \mathrm{cm} \)
D. \( 2.0 \mathrm{cm}^{-2} \)
Subject: Chemistry
\( \Delta_{f} H^{\ominus} \) per mole of \( N H_{3}(g), N O(g) \) and \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \) are \( -\mathbf{1 1 . 0 4},+\mathbf{2 1 . 6 0} \) and
\( -68.32 K c a l, \) respectively. Calculate
the standard heat of reaction at
constant pressure and at a constant volume for the reaction:
\( \mathbf{4} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g})+\mathbf{5} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{4} \boldsymbol{N} \boldsymbol{O}(\boldsymbol{g})+ \)
\( \mathbf{6} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{l}) \)
A. \( \Delta H=-279.36 K c a l \Delta U=-276.38 K c a l \)
В. \( \Delta H=+279.36 K c a l \Delta U=-276.38 K \) сад.
c. \( \Delta H=-279.36 K c a l \Delta U=+276.38 K c a l \)
D. None of these
Subject: Physics
Consider a uniform spherical charge
distribution of radius \( R_{1} \) centred at the
origin \( 0 . \) In this distribution, a spherical
cavity of radius \( R_{2}, \) centre at \( P \) with
distance \( \boldsymbol{O P}=\boldsymbol{\alpha}=\boldsymbol{R}_{1}-\boldsymbol{R}_{2} \) is made. If
the electric field inside the cavity at position \( \vec{r} \) is \( \vec{E}(\vec{r}), \) then the correct
statement(s) is (are)
A \( \cdot \vec{E} \) is uniform, its magnitude is independent of \( R_{2} \) but
its direction depends on \( \vec{r} \)
B. \( \vec{E} \) is uniform, its magnitude is depends on \( R_{2} \) and its direction depends on \( \vec{r} \)
C. \( \vec{E} \) is uniform, its magnitude is independent of \( \alpha \) but its direction depends on \( \vec{\alpha} \)
D. \( \vec{E} \) is uniform and both its magnitude and direction depend on \( \vec{\alpha} \)
Subject: Maths
The vertices of a triangle are \( (2,3,5),(-1,3,2),(3,5,-2), \) then the
angles are
\( ^{\mathrm{B}} \cos ^{-1}\left(\frac{1}{\sqrt{5}}\right), 90^{\circ}, \cos ^{-1}\left(\frac{\sqrt{5}}{\sqrt{3}}\right) \)
c. \( 30^{\circ}, 60^{\circ}, 90^{\circ} \)
D \( \cdot \cos ^{-1}\left(\frac{1}{\sqrt{3}}\right), 90^{\circ}, \cos ^{-1}(\sqrt{\frac{2}{3}}) \)
Subject: Physics
A boy is standing at the center of a boat
which is free to move on water. The
distance of the boy from the shore is
100m. If mass of the boy and boat are
\( 40 K g \) and \( 60 K g \) respectively and boy
moves with a velocity \( 1 m / \)sec towards
the shore, what is the distance of the
boy from the shore at the end of 5 th second?
Subject: Chemistry
STATEMENT-1: Magnesium can be prepared by the electrolysis of aq.
\( M g C l_{2} \)
STATEMENT-2: The reduction potential
of \( M g^{2+} \) is much lower than that of \( H^{+} \)
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Chemistry
The alkali metals form salt-like
hydrides by the direct synthesis at elevated temperature. The thermal
stability of these hydrides decreases in which of the following orders?
A. \( N a H>L i H>K H>R b H>C s H \)
в. \( L i H>N a H>K H>R b H>C s H \)
c. \( C s H>R b H>K H>N a H>L i H \)
D. \( K H>N a H>L i H>C s H>R b H \)
Subject: Physics
When a steady current \( I \) flows through
a resistor of resistance \( \boldsymbol{R} \) under
a constant potential difference \( V \) for
time \( t, \) the electrical work done
by charge carrier is \( W= \)
A . \( V I t \)
в. \( I^{2} R t \)
\( c \cdot \frac{V^{2} t}{R} \)
D. Any of these
Subject: Chemistry
Calculate the standard internal energy
change for the reaction \( \boldsymbol{C}_{(\text {graphite})}+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightarrow \boldsymbol{C O}(\boldsymbol{g})+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
\( \Delta_{f}^{o} \) at \( 25^{\circ} ; H_{2} O(g)=-241.8 k J m o l^{-1} \)
\( \boldsymbol{C O}(\boldsymbol{g})=-110.5 \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
Subject: Maths
In a factory, the cost of manufacturing \( x \)
article is \( R s 20+2 x \) and the selling
price of \( x \) articles is \( R s(2.5) x . \) Draw the graph and determine.
(i) Number of articles to be
manufactured and sold to reach break-
even point (no profit and no loss situation);
(ii) The profit made when 60 articles are manufactured and sold
Subject: Chemistry
Which of the following pairs are
coordination isomers?
\( \mathbf{A} \)
\( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Br}\right] \mathrm{SO}_{4} \) and \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{SO}_{4}\right] \mathrm{Br} \)
B. \( \left[\mathrm{Co}(\mathrm{en})_{2}\left(\mathrm{H}_{2} \mathrm{O}\right) \mathrm{Cl}\right] \mathrm{Cl}_{2} \) and \( \left[\mathrm{Co}(\mathrm{en})_{2} \mathrm{Cl}\right] \mathrm{Cl} . \mathrm{H}_{2} \mathrm{O} \)
\( \mathbf{c} \)
\( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]\left[\mathrm{Cr}(\mathrm{CN})_{6}\right] \) and \( \left[\mathrm{CO}(\mathrm{CN})_{6}\right]\left[\mathrm{Cr}\left(\mathrm{NH}_{3}\right)_{6}\right] \)
\( D \)
\( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5}\left(\mathrm{NO}_{2}\right)\right] \mathrm{Cl}_{2} \) and \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5}(\mathrm{ONO})\right] \mathrm{Cl}_{2} \)
Subject: Maths
Solve each pair of equation by using the substitution method.
\( \boldsymbol{x}+\frac{\mathbf{6}}{\boldsymbol{y}}=\mathbf{6} \)
\( \mathbf{3} \boldsymbol{x}-\frac{\mathbf{8}}{\boldsymbol{y}}=\mathbf{5} \)
A \( . x=3 \) and \( y=-2 \)
в. \( x=30 \) and \( y=2 \)
c. \( x=3 \) and \( y=2 \)
D. None of these
Subject: Maths
Let \( P(n): n^{2}+n \) is an odd integer
\( \boldsymbol{P}(\boldsymbol{k}) \Rightarrow \boldsymbol{P}(\boldsymbol{k}+1) \) is true
Then \( P(n) \) is true for all
\( \mathbf{A} \cdot n>2 \)
B \( . n>1 \)
\( c \cdot n \)
D. none of these
Subject: Maths
The given figure shows a parallelogram
ABCD.E is a point in \( A D \) and \( C E \)
produced meets BA produced at point \( F \)
If \( A E=4 c m, A F=8 \mathrm{cm} \) and \( A B=12 \)
cm. find the perimeter of the parallelogram ABCD.
\( A \cdot 48 \mathrm{cm} \)
B. \( 44 \mathrm{cm} \)
\( c .60 \mathrm{cm} \)
D. \( 50 \mathrm{cm} \)
E . \( 45 \mathrm{cm} \)
\( F .54 \mathrm{cm} \)
G. none of the above
Subject: Chemistry
The formula of Sodium Nitroprusside is
A \( \cdot \max _{4}\left[\operatorname{Fe}(C N)_{5} N O S\right] \)
в. \( \operatorname{Na}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{5} \mathrm{NO}\right] \)
\( c \)
\( \operatorname{NaFe}\left[\operatorname{Fe}(C N)_{6}\right] \)
D \( \cdot \operatorname{Na}_{2}\left[\operatorname{Fe}(C N)_{6} N O_{2}\right] \)
Subject: Physics
Assertion
Magnesium has two isotopes \( _{12}^{24} M g \) and \( _{12}^{26} M g . \) According to which isotopes of magnesium have different mass
numbers.
Reason
Different mass number of isotopes is due to the difference in neutrons no.
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 \( V_{B}=5 V \), then the maximum value of \( R \)
so that the voltage \( V \) is above the knee
point voltage, should be
\( A \cdot 0.7 \times \Omega \)
в. 4.3 К.
\( c \cdot 5 K \Omega \)
D. 5.7 к.
Subject: Chemistry
What is the de Broglie wavelength of
(a) a bullet of mass \( 0.040 \mathrm{kg} \) travelling at the speed of \( 1.0 \mathrm{km} / \mathrm{s} \)
(b) a ball of mass \( 0.060 \mathrm{kg} \) moving at a speed of \( 1.0 \mathrm{m} / \mathrm{s}, \) and
(c) a dust particle of mass \( 1.0 \times 10^{9} k g \)
drifting with a speed of \( 2.2 \mathrm{m} / \mathrm{s} ? \)
Subject: Maths
Find the median of the following frequency distribution
\( \begin{array}{llll}\text { Class } & \begin{array}{l}4- \\ 8\end{array} & \begin{array}{l}\text { 8- } \\ 12\end{array} & \begin{array}{l}\text { 1 } \\ \text { 1 }\end{array}\end{array} \) \( 12- \)
16 20
Frequency 9
16
1
Subject: Physics
Find the relation between drift velocity
and relaxation time of charge carriers in a conductor. A conductor of length \( \boldsymbol{L} \)
is connected to a d.c. The source of emf
\( E^{\prime} . \) If the length of the conductor is
tripled by stretching it, keeping \( ^{\prime} \boldsymbol{E}^{\prime} \) constant, explain how its drift velocity would be affected.
Subject: Physics
In series combination of \( \boldsymbol{R}, \boldsymbol{L}, \boldsymbol{C} \) with an
A.C source at resonanace, if \( \boldsymbol{R}=\mathbf{2 0} \)
ohm, then impedence \( Z \) of the combination is
A. 20 ohm
B. zero
c. 10 ohm
D. 400 ohm
Subject: Physics
The work done in stretching a spring of force constant \( \mathrm{k} \) from \( \boldsymbol{y}_{1} \) and \( \boldsymbol{y}_{2} \) from
mean position will be
A \( \cdot \frac{k}{2}\left(y_{2}^{2}-y_{1}^{2}\right) \)
B. \( \frac{k}{2}\left(y_{1}^{2}-y_{2}^{2}\right) \)
\( \mathbf{c} \cdot k\left(y_{2}-y_{1}\right) \)
D. zero
Subject: Physics
Assertion (A) : The elastic potential energy of a spring increases when it is elongated and decreases when it is
compressed
Reason
(R) : Work done on spring is stored in it as elastic potential energy.
A. Both assertion and reason are true and the reason is correct explanation of the assertion
B. Both assertion and reason are true, but reason is not correct explanation of the assertion
c. Assertion is true, but the reason is false
D. Assertion is false, but the reason is true
Subject: Chemistry
Assertion
Sucrose is a reducing sugar and
exhibits mutarotation.
Reason
Sucrose is a disaccharide consisting of
glucose and fructose units.
A. Statements A and R are true and \( \mathrm{R} \) is the correct
explanation of \( A \)
B. Statements A and R are true and R is not the correct explanation of \( A \)
C. Statements A is true and R is false.
D. Statements A is false and R is true.
Subject: Chemistry
The correct order of increasing acid strength of the compounds:
\( (A) C H_{3} C O_{2} H \)
(B) \( M e O C H_{2} C O_{2} H \)
\( (\mathrm{C}) \mathrm{C} \boldsymbol{F}_{3} \boldsymbol{C O}_{2} \boldsymbol{H} \)
(D) \( \left(C H_{3}\right)_{2} C C O O H: \)
A. \( b<d<a<c \)
в. \( d<a<c<b \)
c. \( d<a<b<c \)
D. \( a<d<c<b \)
Subject: Chemistry
Calcium carbide is hydrolyzed using heavy water. What are the products formed?
\( \mathbf{A} \cdot C a(O H)_{2}, C_{2} D_{2} \)
B. \( C a(O D)_{2}, C_{2} D_{2} \)
c. \( C a(O D)_{2}, C D_{4} \)
D. \( C a(O H)_{2}, C D_{1} \)