AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Choose the correct answer form the
alternatives given. Which of the following compounds are not arranged in correct order as indicated?
A \( \cdot \operatorname{Sr} C l_{2}<C a C l_{2}<M g C l_{2}<B e C l_{2} \) (increasing extent
of hydrolysis)
B. \( S r C l_{2}<C a C l_{2}<M g C l_{2}<B e C l_{2} \) (increasing lattice energy）
\( \mathrm{c} \cdot \mathrm{CaSO}_{4}<\mathrm{MgSO}_{4}<\mathrm{BeSO}_{4} \) (increasing stability)
D. \( B e(O H)_{2}<M g(O H)_{2}<C a(O H)_{2} \) (increasing solubility)
Subject: Maths
If \( A B \) is tangent to the circle at \( A \) and
\( O B=13 \mathrm{cm}, \) find the radius \( O A \)
\( 4.5 \mathrm{cm} \)
\( 3.7 \mathrm{cm} \)
\( c \cdot 8 c m \)
)
Subject: Physics
Assertion
Fuse wire must have high resistance
and low melting point.
Reason
Fuse is used for small current flow only.
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
An ice cube of mass \( 0.1 \mathrm{Kg} \) at \( 0^{\circ} \mathrm{C} \) is placed in an isolated container which is
\( \operatorname{at} 227^{\circ} \mathrm{C} . \) The specific heat \( s \) of the
container varies with temperature \( \boldsymbol{T} \) according to the empirical relation \( s= \) \( \boldsymbol{A}+\boldsymbol{B} \boldsymbol{T}, \) where \( \boldsymbol{A}=\mathbf{1 0 0} \boldsymbol{c a l} \boldsymbol{k} \boldsymbol{g}^{-1} \boldsymbol{K}^{-1} \)
and \( B=2 \times 10^{-2} \) cal \( k g^{-1} \)
If the final temperature of the container
is \( 27^{\circ} \mathrm{C} \), the mass of the container is
(Latent heat of fusion of water \( =8 x \)
\( 10^{4} \) cal \( k g-1, \) Specific heat of water \( = \)
\( \mathbf{1 0}^{\mathbf{3}} \) cal \( \boldsymbol{k} \boldsymbol{g}^{-1} \boldsymbol{K}^{-1} \)
A . \( 0.495 \mathrm{kg} \)
в. \( 0.595 \mathrm{kg} \)
\( c .0 .695 k g \)
D. \( 0.795 \mathrm{kg} \)
Subject: Physics
The equation of .a wave, travelling with
amplitude \( A, \) linear \( u, \) angular velocity \( \omega \) is given by
\( \boldsymbol{y}=\boldsymbol{A} \sin \boldsymbol{\omega}\left(\frac{\boldsymbol{x}}{\boldsymbol{v}}-\boldsymbol{k}\right) \)
The dimensions of 'k' are
A . \( [T] \)
B \( \cdot\left[T^{-1}\right] \)
\( \mathbf{c} \cdot\left[T^{-2}\right] \)
D・ \( \left[T^{2}\right] \)
Subject: Maths
A blind person after walking 10 steps in one direction, each of length \( 80 \mathrm{cm} \) turns randomly to the left or to the right
by \( 90^{0} \) each time moving 10 steps. After walking a total of 40 steps the maximum displacement of the person from his starting position could be :
A. 320 \( m \)
B. 32 \( m \)
c. \( 16 \sqrt{2} \mathrm{m} \)
D. none
Subject: Physics
A power line lies along the east-west direction and carries a current of 10
ampere. The force per metre due to the
earth's magnetic field of \( 10^{-4} \) tesla is:
\( \mathbf{A} \cdot 10^{-5} \mathbf{N} \)
B. \( 10^{-4} \) N
\( \mathbf{c} \cdot 10^{-3} \mathbf{N} \)
D. \( 10^{-2} \) N
Subject: Physics
At room temperature \( \left(27.0^{\circ} \mathrm{C}\right) \) the
resistance of a heating element is \( 100 \Omega \) What is the temperature of the element if the resistance is found to be
\( 117 \Omega, \) given that the temperature coefficient of the material of the
resistor is \( 1.70 \times 10^{-4} C^{-1} \)
Subject: Maths
Solve the following system of equations:
\( \boldsymbol{x}+\boldsymbol{y}=\boldsymbol{a}-\boldsymbol{b} \)
\( \boldsymbol{a} \boldsymbol{x}-\boldsymbol{b} \boldsymbol{y}=\boldsymbol{a}^{2}+\boldsymbol{b}^{2} \)
Subject: Physics
While measuring the acceleration due to gravity by a simple pendulum, a
student makes a positive error of \( 1 \% \) in the length of the pendulum and a negative error of \( 3 \% \) in the value of time
period. His percentage error in the
measurement of \( g \) by the relation \( g= \)
\( 4 \pi^{2}\left(l / T^{2}\right) \) will be
A . \( 2 \% \)
в. \( 4 \% \)
c. \( 7 \% \)
D. \( 10 \% \)
Subject: Chemistry
An organic acid \( \boldsymbol{A}\left(\boldsymbol{C}_{5} \boldsymbol{H}_{10} \boldsymbol{O}_{2}\right) \) reacts
with \( B r_{2} \) in presence of phosphorus to produce a resolvable compound B. B on dehydrobromination yields C. C does not show geometrical isomerism and on decarboxylation gives an alkene D. D on ozonolysis gives \( \mathrm{E} \) and \( \mathrm{F} \). Compound \( \mathrm{E} \) gives positive Schiff's test but F does not. Give structures of \( A \) to \( F \)
Subject: Physics
A horizontal pipe of non-uniform crosssection allows water to flow through it with a velocity \( 1 \mathrm{ms}^{-1} \) when pressure is 50kPa at a point. If the velocity of flow has to be \( 2 \mathrm{ms}^{-1} \) at some other piont,the pressure at that point should
be:
A. 50 kPa
B. 100kPa
c. \( 48.5 \mathrm{kPa} \)
D. 24.25 kPa
Subject: Maths
Find the middle term in the expansion
of
\( \left(\frac{2}{3} x-\frac{3}{2 x}\right)^{20} \)
A \( .^{20} C_{10} x^{10} y^{10} \)
B. \( ^{20} C_{11} x^{11} y^{11} \)
C. \( ^{20} C_{9} x^{11} y^{10} \)
D. None of these
Subject: Physics
If \( \vec{A}=a \hat{i}+2 \hat{j}-5 \hat{k}, \vec{B}=2 \hat{i}-\hat{j}-4 \hat{k} \)
are perpendicular to each other, the
value of \( \boldsymbol{a} \) is:
\( A \cdot 9 \)
B. -9
\( c \cdot 4 \)
\( D \cdot-4 \)
Subject: Physics
A firecracker exploding on the surface of a lake is heard as two sounds a time
interval \( t \) apart by a man on a boat close
to the water surface. Sound travels by a speed \( v \) in the air. The distance from the exploding firecracker to the boat is:
A \( \cdot \frac{u v t}{u+v} \)
в. \( \frac{t(u+v)}{u v} \)
c. \( \frac{t(u-v)}{u v} \)
D. \( \frac{u v t}{u-v} \)
Subject: Chemistry
The rate of the first order reaction,
\( A \longrightarrow \) Products, is \( 7.5 \times 10^{-4} \) mol
\( L^{-1} s^{-1}, \) when the concentration of \( A \) is
0.2 mol \( L^{-1} . \) The rate constant of the
reaction is:
A \( \cdot 2.5 \times 10^{-5} s^{-1} \)
в. \( 8.0 \times 10^{-4} s^{-1} \)
D. \( 3.75 \times 10^{-3} s^{-1} \)
Subject: Physics
Two identical balls \( P \) and \( Q \) are
projected with same speeds in vertical
plane from same point \( \boldsymbol{O} \) with making
projection angles with horizontal \( 30^{\circ} \)
and \( 60^{\circ}, \) respectively and they fall
directly on plane \( A B \) at points \( P^{\prime} \) and
\( Q^{\prime} \) respectively. Which of the following
statement is true about distance as
given in options?
A \( \cdot A P^{\prime}>A Q^{\prime} \)
B. \( A P^{\prime}<A Q^{\prime} \)
c. \( A P^{\prime} \leq A Q^{\prime} \)
D. As there are complimentary projection angles
Subject: Biology
During alcoholic fermentation by yeast two molecules of glucose produce.
A \( \cdot 2 \) molecules of ethanol +2 molecules of \( C O_{2} \)
B. 4 molecules of ethanol +4 molecules of \( C O_{2} \)
C. 6 molecules of ethanol +6 molecules of \( C O_{2} \)
D. 3 molecules of ethanol +3 molecules of \( C O_{2} \)
Subject: Maths
In the given figure, ABCD is a
parallelogram, \( \angle \boldsymbol{A} \boldsymbol{D} \boldsymbol{E}= \)
\( \mathbf{5 0}^{\circ} \) and \( \angle \mathbf{A C E}=\angle B E D=90^{\circ} \) The
value of \( \angle \boldsymbol{E} \boldsymbol{A} \boldsymbol{C}+\angle \boldsymbol{A} \boldsymbol{B} \boldsymbol{C}-\mathbf{2} \angle \boldsymbol{D} \boldsymbol{A} \boldsymbol{C} \)
A . \( 10^{\circ} \)
В. \( 15^{\circ} \)
\( c \cdot 18^{0} \)
D. \( 23.5^{\circ} \)
Subject: Chemistry
The reaction \( \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \boldsymbol{C}+\boldsymbol{D} \) is
studied in a one litre vessel at \( 250^{0} C \).
The initial concentration of \( A \) was \( 3 n \)
and of \( B \) was n. After equilibrium was attained then equilibrium concentration of \( B \). What is the
concentration of \( D \) at equilibrium : -
A \( \cdot \frac{n}{2} \)
в. \( \left(3 n-\frac{n}{2}\right) \)
\( ^{c} \cdot\left(n+\frac{n}{2}\right) \)
D.
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{5} \boldsymbol{s} \boldsymbol{i} \boldsymbol{n}^{2} \boldsymbol{x} \) be
an increasing function on the set \( R \) Then, a and b satisfy
A \( \cdot a^{2}-3 b-15>0 \)
B . \( a^{2}-3 b+15>0 \)
c. \( a^{2}-3 b+15<0 \)
D. \( a>0 \) and \( b>0 \)
Subject: Physics
The moment of inertia of a non-uniform
semicircular wire having mass \( m \) and
radius \( r \) about a line perpendicular to
the plane of the wire through the centre is
\( \mathbf{A} \cdot m r^{2} \)
B. \( \frac{1}{2} m r^{2} \)
c. \( \frac{1}{4} m r^{2} \)
D. \( \frac{2}{5}^{m r^{2}} \)
Subject: Physics
Critical mass of \( _{92} U^{235} \) is nuclear fission is :
A. 1 to \( 100 \mathrm{g} \)
B. 100 to \( 1000 \mathrm{mg} \)
c. 1 to \( 100 \mathrm{kg} \)
D. 1 to 100 u
Subject: Chemistry
Find the critical constant
\( \left(P_{c}, V_{c} \text { and } T_{c}\right) \) in terms of \( A \) and \( B \)
also find compressibility factor \( (Z) \) for
the following equation of state.
\[
\boldsymbol{P} \boldsymbol{V}=\boldsymbol{R T}-\frac{\boldsymbol{A}}{\boldsymbol{V}}+\frac{\boldsymbol{2} \boldsymbol{B}}{\boldsymbol{V}^{2}}
\]
where \( A \) and \( B \) are constant, \( P= \)
pressure and \( V= \) molar volume.
\( \mathbf{A} \)
\[
\begin{array}{l}
V_{c}=\frac{6 B}{A}, T_{c}=\frac{A^{2}}{6 R B}, P_{c}=\frac{A^{3}}{108 R B}, \text { compressibility } \\
\text { factor }=\frac{P_{c} V_{c}}{R T_{c}} \frac{1}{3}
\end{array}
\]
B.
\[
V_{c}=\frac{3 B}{A}, T_{c}=\frac{A^{2}}{3 R B}, P_{c}=\frac{A^{3}}{108 R B}, \text { compressibility }
\]
\[
\text { factor }=\frac{P_{c} V_{c}}{R T_{c}} \frac{1}{3}
\]
\( c \)
\[
\begin{array}{l}
V_{c}=\frac{6 B}{A}, T_{c}=\frac{A^{2}}{6 R B}, P_{c}=\frac{A^{3}}{54 R B}, \text { compressibility } \\
\text { factor }=\frac{P_{c} V_{c}}{R T_{c}} \frac{1}{2}
\end{array}
\]
D. None of these
Subject: Physics
A metal rod \( \frac{1}{\sqrt{\pi}} m \) long rotates about one of its ends perpendicular to a plane whose magnetic induction is \( 4 \times \) \( 10^{-3} T . \) Calculate the number of
revolutions made by the rod per second if the e.m.f induced between the ends of
the rod is \( 16 m V \)
Subject: Chemistry
If electronegativity values of element \( \boldsymbol{X} \)
and \( Y \) are 3.8 and 1.8 respectively, then
an ionic percentage of compound \( \boldsymbol{X} \boldsymbol{Y} \) is:
A . 50
B. 46
\( c \cdot 64 \)
D. 36
Subject: Chemistry
When stearic acid \( \left(C_{18} H_{36} O_{2}\right) \) is added to water, its molecules collect at the
surface and form a monolayer. The cross-sectional area of each stearic
acid molecule is \( 0.21 n m^{2} . \) If \( 1.4 \times \)
\( 10^{-4} g \) of stearic acid is needed to form
a monolayer over water in a dish of diameter \( 20 \mathrm{cm} \). (The area of the circle
of radius \( r \) is \( \left(\pi r^{2}\right), \) then the value of
Avogadro's number is
A \( \cdot 3 \times 10^{23} \)
B. \( 6 \times 10^{23} \)
c. \( 4 \times 10^{23} \)
D. \( 1 \times 10^{23} \)
Subject: Chemistry
Catalytic decomposition of nitrous
oxide by gold at \( 900^{\circ} \mathrm{C} \) at an initia
pressure of \( 200 m m \) was \( 50 \% \) in 53
minutes and \( 73 \% \) in 100 minutes.
(a) What is the order of reaction?
(b) How much it will decompose in 100
minutes at the same temperature but at an initial pressure of 600 mm?
Subject: Chemistry
If the van der Waals parameters of two
gases are given as:
\( a / d m^{6} b a r m o l^{-2} \) \( b / d m^{3} b a r m \)
Gas \( 6.5 \quad \) 0.056
Gas 18.0 0.01
Then which of the above statements
is/are correct?
This question has multiple correct options
A. Critical volume of A <Critical volume of B
B. Critical pressure of A <Critical pressure of B
c. critical temperature of A ccritical temperature of B
D. None of the above
Subject: Chemistry
Calculate the electron gain enthalpy of fluorine atom using the following data.
All the values are in \( k J \) mol \( ^{-1} \) at \( 25^{\circ} C \)
\( \Delta \boldsymbol{H}_{d i s s}\left(\boldsymbol{F}_{2}\right)=\mathbf{1 6 0}, \boldsymbol{\Delta}_{f} \boldsymbol{H}(\boldsymbol{N a F}(s))= \)
\( -\mathbf{5 7 1}, \) ।.E. \( [\boldsymbol{N a}(\boldsymbol{g})]= \)
\( \mathbf{4 9 4}, \mathbf{\Delta H}_{\mathbf{v a p}}[\mathbf{N a}(s)]=\mathbf{1 0 1 .} \) Lattice
enthalpy of \( N a F(s)=894 \) Also, make Born - Haber's cycle.
Subject: Chemistry
In crystalline state \( P C l_{5} \) exists as :
A \( \cdot\left[P C l_{4}\right]^{+} C l^{-} \)
B . \( \left[P C l_{4}\right]^{+}\left[P C l_{6}\right]^{-} \)
C \( \cdot\left[P C l_{3}\right]^{2+}+2 C l^{-} \)
D \( \cdot\left[P C l_{6}\right]^{+}\left[P C l_{4}\right]^{-} \)
Subject: Maths
A right triangle is drawn in a semicircle of radius \( \frac{1}{2} \) with one of its legs along the diameter. The maximum area of the triangle is
A \( \cdot \frac{1}{4} \)
B. \( \frac{3 \sqrt{3}}{32} \)
\( c \cdot \frac{3 \sqrt{3}}{16} \)
D.
Subject: Physics
Given \( k_{1}=1500 N m^{-1}, k_{2}= \)
\( \mathbf{5 0 0} N \boldsymbol{m}^{-1}, \boldsymbol{m}_{1}=\mathbf{2 k g}, \boldsymbol{m}_{2}=\mathbf{1 k g} . \) Find:
a. Potential energy stored in the springs in equilibrium, and
b. work done in slowly pulling down \( m_{2} \)
by \( 8 \mathrm{cm} \)
Subject: Maths
Based on equations reducible to linear
equations, solve for \( x \) and \( y \) \( \frac{\boldsymbol{x}-\boldsymbol{y}}{\boldsymbol{x} \boldsymbol{y}}=\mathbf{9} ; \frac{\boldsymbol{x}+\boldsymbol{y}}{\boldsymbol{x} \boldsymbol{y}}=\mathbf{5} \)
A \( \cdot x=-\frac{1}{2}, y=\frac{1}{7} \)
B. \( _{x}=-\frac{1}{5}, y=\frac{1}{2} \)
c. \( _{x=-\frac{1}{5}, y}=\frac{1}{7} \)
D. None of these
Subject: Maths
If \( \triangle A B C \cong \triangle R Q P, \angle A=80^{\circ}, \angle B= \)
\( 60^{\circ}, \) then the value of \( \angle P \) is
A . \( 60^{\circ} \)
В. \( 50^{\circ} \)
c. \( 40^{\circ} \)
D. \( 80^{\circ} \)
Subject: Physics
A motorboat is racing towards the north at \( 25 k m h^{-1} \) and the water current in
that region is \( 10 \mathrm{kmh}^{-1} \) in the direction
of \( 60^{\circ} \) east of south. The resultant
velocity of the boat is:
\( \mathbf{A} \cdot 11 \mathrm{kmh}^{-1} \)
B . 22 \( k m h^{-1} \)
c. \( 33 \mathrm{kmh}^{-1} \)
D. \( 44 \mathrm{kmh}^{-1} \)
Subject: Physics
Consider the following facts about
energy.
I. The electrical energy can be stored in
a capacitor to be recovered on its
discharge.
Il. It is stored in the electromagnetic radiations in electric and magnetic
fields.
III. In a closed system, the total energy is variable.
IV. Potential energy is stored in a body when it changes its configuration.
\( A \cdot \) ।, III and \( 1 V \)
B. I, II and IV
C. I, II and III
D. II, III and IV
Subject: Chemistry
Which of the following metal do no
evolve \( \boldsymbol{H}_{2} \) gas from dil. acid?
A \( \cdot A\left(E_{A^{+} / A}^{o}=0.25 V\right) \)
B \( \cdot B\left(E_{B / B^{+}}^{0}=+0.22 V\right) \)
c. \( C\left(E_{C^{+} / C}^{0}=0.30 V\right) \)
D・ \( D\left(E_{D / D^{+}}^{0}=+0.44 V\right) \)
Subject: Chemistry
The vapour pressure of a dilute aqueous
solution of glucose is \( 750 \mathrm{mm} \) Hg at
\( \mathbf{3 7 3} \mathbf{K} \)
Calculate (i) molality, (ii) mole fraction of the solute.
в. 0.078,0.02
\( c .0 .0729,0.0187 \)
7
D. 0.0779,0.3
Subject: Physics
A beam of unpolarized light is passed
first through a tourmaline crystal \( \boldsymbol{A} \) and
then through another tourmaline
crystal \( B \) oriented so that its principal
plane is parallel to that of \( A \). The
intensity of final emergent light is \( I \). If
\( A \) is rotated by \( 45^{0} \) on a plane,
perpendicular to the direction of incident ray, then intensity of emergent light will be
A \( \cdot \frac{I}{8} \)
в. \( \frac{I}{4} \)
c. \( \frac{I}{2} \)
D. none of these
Subject: Maths
The number of positive integral
solutions of the equation \( \left|\begin{array}{ccc}\boldsymbol{x}^{\boldsymbol{3}}+\mathbf{1} & \boldsymbol{x}^{\boldsymbol{2}} \boldsymbol{y} & \boldsymbol{x}^{\boldsymbol{2}} \boldsymbol{z} \\ \boldsymbol{x} \boldsymbol{y}^{\boldsymbol{2}} & \boldsymbol{y}^{\boldsymbol{3}}+\boldsymbol{1} & \boldsymbol{y}^{\boldsymbol{2}} \boldsymbol{z} \\ \boldsymbol{x} \boldsymbol{z}^{\boldsymbol{2}} & \boldsymbol{y} \boldsymbol{z}^{\boldsymbol{2}} & \boldsymbol{z}^{\boldsymbol{3}}+\mathbf{1}\end{array}\right|=\mathbf{1 1} \) is
A.
B. 3
\( c \cdot 6 \)
D. 12
Subject: Physics
Select incorrect statement
A \( \cdot \) for any two vectors \( |\vec{A} \cdot \vec{B}| \leq A B \)
B. for any two vectors \( |\vec{A} \times \vec{B}| \leq A B \).
C. a vector is not changed if it is slid parallel to itself.
D. a vector is necessarily changed if it is rotated through an angle
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) for \( \boldsymbol{y}= \)
\( \sin ^{-1}\left(\frac{\boldsymbol{6} \boldsymbol{x}-\boldsymbol{4} \sqrt{\boldsymbol{1}-\boldsymbol{4} \boldsymbol{x}^{2}}}{\mathbf{5}}\right) \)
Subject: Maths
\( \operatorname{In} \Delta \mathrm{ABC}, \angle \mathrm{A}=30^{\circ}, \angle \mathrm{B}=40^{\circ} \) and \( \angle \mathrm{C}= \)
\( \mathbf{1 1 0}^{\circ} \)
\( \ln \Delta \mathrm{PQR}, \angle \mathrm{P}=30^{\circ}, \angle \mathrm{Q}=40^{\circ} \) and \( \angle \mathrm{R}= \)
\( \mathbf{1 1 0}^{\circ} \)
A student says that \( \Delta A B C \cong \Delta P Q R \) by
AAA congruence criterion. Is he justified. Is he justified? Why or why
not?
Subject: Physics
A transverse wave is described by the
equation \( \boldsymbol{Y}=\boldsymbol{Y}_{0} \sin 2 \boldsymbol{\pi}(\boldsymbol{f} \boldsymbol{t}-\boldsymbol{x} / \boldsymbol{\lambda}) . \) The
maximum particle velocity is equal to four times the wave velocity if?
A \( \cdot \lambda=\pi Y_{0} / 4 \)
B . \( \lambda=\pi Y_{0} / 2 \)
\( \mathbf{c} \cdot \lambda=\pi Y_{0} \)
D \( . \lambda=2 \pi Y_{0} \)
Subject: Chemistry
Which of the following compound is expected to have the highest boiling point?
\( \boldsymbol{P H}_{3}, \boldsymbol{N} \boldsymbol{H}_{3},\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N} \)
A \( \cdot N H_{3} \)
B. \( \left(C H_{3}\right)_{3} N \)
с. \( P H_{3} \)
D. None of these
Subject: Chemistry
When one faraday of electricity is passed through three electrolytic cells containing \( \boldsymbol{A} \boldsymbol{g}^{+}, \boldsymbol{N} \boldsymbol{i}^{2+} \) and \( \boldsymbol{C} \boldsymbol{r}^{3+} \) ions
respectively, the deposited \( A g \) (At. mass \( =108), N i(\text { At. mass }=59) \) and
\( \boldsymbol{C r}(\boldsymbol{A} \boldsymbol{t} . \boldsymbol{m} \boldsymbol{a} \boldsymbol{s} \boldsymbol{s}=\mathbf{5} \boldsymbol{2}) \)
are
A. \( A g=108 g, N i=29.5 g, C r=17.3 \mathrm{g} \)
в. \( A g=108 g, N i=59 g, C r=52 g \)
c. \( A g=108 g, N i=108 g, C r=17.3 g \)
D. \( A g=108 g, N i=29.5 g, C r=166 g \)
Subject: Physics
Assume you are sitting in sun for 2.5 hours. The area of your body exposed normally to sun rays \( 1.3 m^{2} . \) The
intensity of sun rays is 1.1 Kilowatt \( / m^{2} \)
If your body completely absorbs the sun rays then the momentum transferred to your body will be (in \( \mathrm{Kg}-\mathrm{m} / \mathrm{s} \) ):
\( \mathbf{A} \cdot 0.043 \)
B. 0.037
c. 0.61
D. -0.91
Subject: Maths
If \( (1+a x)^{n}=1+8 x+24 x^{2}+\dots \) then
\( \boldsymbol{a} \times \boldsymbol{n} \) is:
\( \mathbf{A} \cdot \mathbf{8} \)
B. 12
c. 16
D . 24
Subject: Maths
The expansion \( ^{n} C_{r}+4 .^{n} C_{r-1}+ \)
\( \mathbf{6} \cdot^{n} \boldsymbol{C}_{\boldsymbol{r}-\mathbf{2}}+\mathbf{4} \cdot^{\boldsymbol{n}} \boldsymbol{C}_{\boldsymbol{r}-\mathbf{3}}+^{\boldsymbol{n}} \boldsymbol{C}_{\boldsymbol{r}-\mathbf{4}}= \)
A. \( ^{n+4} C_{r} \)
В \( \cdot 2 \cdot^{n+4} C_{r-1} \)
\( c \cdot 4 \cdot^{n} c \)
D. \( 11 .^{n} c_{r} \)
Subject: Chemistry
Assertion
Deoxyribose \( C_{5} H_{10} O_{4} \) is not a
carbohydrate.
Reason
Carbohydrates are hydrates of carbon
so, compounds which follow \( C_{x}\left(H_{2} O\right)_{y} \) formula are carbohydrates.
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: Maths
Suppose the triangle \( A B C \) has an obtuse angle at \( C \) and let \( D \) be the midpoint of side AC Suppose E is on BC such that the segment DE is parallel to AB. Consider the following three statements
i) E is the midpoint of BC
ii) The length of DE is half the length of
\( A B \)
iii) DE bisects the altitude from \( C \) to \( A B \)
A. only (i) is true
B. only (i) and (ii) are true
c. only (i) and (iii) are true
D. all three are true
Subject: Chemistry
Nuclear attraction is often the deciding control factor for the association of
natural molecules to
a given metal ion. Which one of the
following represents the correct order of stability of the ions? \( \left[\boldsymbol{B e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+},\left[\boldsymbol{M} \boldsymbol{g}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4}\right]^{2+}, \boldsymbol{C} \boldsymbol{a}\left(\boldsymbol{H}_{2} \boldsymbol{C}\right. \)
\( \left.\left.\mathbf{A} \cdot\left[B e\left(H_{2} O\right)_{4}\right]^{2+}>S r\left(H_{2} O\right)_{4}\right]^{2+}\right]>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left[C a\left(H_{2} O\right)^{4}\right]^{2+} \)
B . \( \left[C a\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}>\left[B e\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left.\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+} \)
C \( \cdot\left[\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+}>\left[C a\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left[\operatorname{Be}\left(H_{2} O\right)_{4}\right]^{2+} \)
D. \( \left[B e\left(H_{2} O\right)_{4}\right]^{2+}>\left[M g\left(H_{2} O\right)_{4}\right]^{2}>\left[C a\left(H_{2} O\right)_{4}\right]^{2+}> \)
\( \left.\operatorname{Sr}\left(H_{2} O\right)_{4}\right]^{2+} \)
Subject: Physics
Magnifying power of simple microscope is \( 6, \) when image is formed at distance of distinct vision, the focal length of simple microscope is :
\( \mathbf{A} \cdot 15 \mathrm{cm} \)
B. \( 25 \mathrm{cm} \)
\( c .5 \mathrm{cm} \)
D. \( 4.16 \mathrm{cm} \)
Subject: Chemistry
Assertion
\( H_{2} S O_{4} \) cannot act as reducing agent
Reason

Sulphur cannot increase its oxidation
number beyond +6
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 cube as shown in Fig. has sides of
length \( L=10.0 \mathrm{cm} . \) The electric field is
uniform, has a magnitude \( \boldsymbol{E}=\mathbf{4 . 0 0} \times \)
\( 10^{3} N C^{-1}, \) and is parallel to the \( x y- \)
plane at an angle of \( 37^{\circ} \) measured from
the \( +x-a x i s \) towards the \( +y-a x i s \)
Electric flux passing through surface \( \boldsymbol{S}_{1} \)
is
A \( .-24 N m^{2} C^{-1} \)
B. \( 24 N m^{2} C^{-1} \)
\( \mathbf{c} \cdot 32 N m^{2} C^{-1} \)
D. \( -32 N m^{2} C^{-1} \)
Subject: Physics
Which of the following is true regarding a bucket of boiling water and a cup of boiling water.
I.The temperature of the two is the
same.

II.The heat content of the two is the
same
III. The bucket of water contains more
heat and is therefore hotter
A . Ionly
B. II only
c. I and III only
D. II and III only
E . I, II and III only
Subject: Maths
\( \int \frac{\sin (2 x)}{1+\cos ^{2} x} d x \) is equal to
A \( \cdot-\frac{1}{2} \log \left(1+\cos ^{2} x\right)+c \)
B . \( 2 \log \left(1+\cos ^{2} x\right)+c \)
c. \( \frac{1}{2} \log (1+\cos 2 x)+c \)
D. \( c-\log \left(1+\cos ^{2} x\right) \)
Subject: Physics
A projector lens has a focal length 10
\( \mathrm{cm} . \) It throws an image of a \( 2 \mathrm{cm} \times 2 \mathrm{cm} \)
Slide on a screen 5 meter away from the
lens. Find
(i) The size of the picture on the screen
and
(ii)ratio of illuminations of the slide and
of the picture on the screen.