AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Consider the following statements:
According the Werner's theory.
(1) Ligands are connected to the metal ions by covalent bonds.
(2) Secondary valencies have directional properties
(3) Secondary valencies are non-
ionisable
A \( \cdot 1,2 \) and 3 are correct
B. 1,2 are correct
\( c \cdot 2 \) and 3 are correct
D. 1,3 are correct
Subject: Maths
Ray \( P Q \) and ray \( P R \) are perpendicular to each other. Points \( B \) and \( A \) are in the
interior and exterior of \( \angle Q P R \)
respectively. Ray \( P B \) and ray \( P A \) are
perpendicular to each other. Draw a figure all this rays and write-A pair of complementary angles A pair of supplementary anglesA pair of congruent angles.
Subject: Physics
You measure two quantities as \( A= \)
\( \mathbf{1 . 0 m} \pm \mathbf{0 . 2 m}, \boldsymbol{B}=\mathbf{2 . 0 m} \pm \mathbf{0 . 2 m .} \mathrm{We} \)
should report correct value for \( \sqrt{A B} \) as
A. \( 1.4 m \pm 0.4 m \)
в. \( 1.41 m \pm 0.15 m \)
c. \( 1.4 m \pm 0.3 m \)
D. \( 1.4 m \pm 0.2 m \)
Subject: Physics
S.I. Unit of universal gravitational
constant \( G \) is-
\( ^{\mathbf{A}} \cdot \frac{N m^{2}}{K g} \)
в. \( \frac{N m^{2}}{K g^{2}} \)
c. \( \frac{N m}{K g^{2}} \)
D. \( \frac{N m}{K g} \)
Subject: Chemistry
Chromium metal can be plated out from an acidic solution containing \( \boldsymbol{C r} \boldsymbol{O}_{3} \) according to the following equation.
\[
\begin{array}{c}
\boldsymbol{C r} \boldsymbol{O}_{3}(\boldsymbol{a q})+\boldsymbol{6} \boldsymbol{H}^{+}+\boldsymbol{6} \boldsymbol{e}^{-} \rightarrow \\
\boldsymbol{C r}(\boldsymbol{s})+\boldsymbol{3} \boldsymbol{H}_{2} \boldsymbol{O}
\end{array}
\]
How many grams of chromium will be plated out by 24000 coulombs?
A. \( 0.78 g \)
B. \( 0.45 g \)
c. \( 1.2 g \)
D. None of these
Subject: Physics
A proton in motion makes head on collision with an unknown particle at rest. If the collision is perfectly elastic and proton rebounds back with \( \frac{4}{9} \) of its initial kinetic energy after collision, the mass of unknown particle is
A. Equal to mass of proton
B. Twice the mass of proton
c. 3 times the mass of proton
D. 5 times the mass of proton
Subject: Physics
For a liquid, the coefficients of apparent
expansion ' \( \gamma_{a} \) 'and real expansion \( ^{\prime} \gamma_{r} \)
are related as:
\( A \cdot \gamma_{a}=\gamma_{r} \)
в. \( \gamma_{a}<\gamma_{r} \)
c. \( \gamma_{a}>\gamma_{r} \)
D. \( \frac{\gamma_{a}}{\gamma_{r}}= \) constant
Subject: Maths
The volume of a rectangular block of stone is \( 10368 d m^{3} \) Its dimensions re in
the ratio 3: 2: 1 If its entre surface is
polished at 2 paise per \( d m^{2} \) then the
total cost will be
\( A \cdot R s 31.50 \)
B. Rs 31.68
c. Rs 63
D. Rs 63.36
Subject: Physics
Consider the following statements \( A \) and B. Identify the correct choice in the
given answer
\( A: \ln a \) one - dimensional perfectly
elastic collision between two moving
bodies of equal masses, the bodies
merely exchange their velocities after
collision
\( \mathrm{B}: \) If a lighter body at rest suffers perfectly elastic collision with a very
heavy body moving with a certain velocity, after collision both travel with
same velocity
\( A \cdot A \) and \( B \) are correct
B. Both A and B are wrong
C. A is correct B is wrong
D. A is wrong B is correct
Subject: Chemistry
Which of the following equations
represents reducing property of \( S O_{2} ? \)
A. \( 2 H_{2} S+S O_{2} \rightarrow 3 S+2 H_{2} O \)
B. 3 Fe \( +S O_{2} \rightarrow 2 F e O+F e S \)
c. \( K_{2} C r_{2} O_{7}+S O_{2}+H_{2} S O_{4} \rightarrow K_{2} S O_{4}+C r_{2}\left(S O_{4}\right)_{3}+ \)
\( H_{2} O \)
D. All of the above
Subject: Chemistry
Which of the following is a true statement for the acids of phosphorus
\( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} ? \)
A. The order of their acidic strength is \( H_{3} P O_{4}> \) \( H_{3} P O_{3}>H_{3} P O_{2} \)
B. All of them are reducing in nature.
c. All of them are tribasic acids
D. The geometry phosphorus is tetrahedral in all the three
Subject: Maths
The perpendicular distance between the
straight lines \( 6 x+8 y+15=0 \) and
\( \mathbf{3} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}+\mathbf{9}=\mathbf{0} \) is
A. \( 3 / 2 \) units
B. 3/10 units
c. \( 3 / 4 \) units
D. 2/7units
Subject: Maths
The trigonometric equation \( \sin ^{-1} x= \)
\( 2 \sin ^{-1} 2 a \) has a real solution, if
A \( \cdot|a|>\frac{1}{\sqrt{2}} \)
в. \( \frac{1}{2 \sqrt{2}}<|a|<\frac{1}{\sqrt{2}} \)
c. \( |a|>\frac{1}{2 \sqrt{2}} \)
D \( \cdot|a| \leq \frac{1}{2 \sqrt{2}} \)
Subject: Physics
The working transistor with its three legs marked \( \mathrm{P}, \mathrm{Q}, \) and \( \mathrm{R} \) is tested using a
multimeter. No conduction is found
between \( P \& Q . \) By connecting the common (negative) terminal of the
multimeter to \( \mathrm{R} \) and the other
(positive) terminal to \( \mathrm{P} \) or \( \mathrm{Q}, \) some
resistance is seen on the multimeter.
The correct statement for the transistor
is
A. It is an n-p-n transistor with \( \mathrm{R} \) as base
B. It is a p-n-p transistor with \( \mathrm{R} \) as collector
C. It is a p-n-p transistor with \( R \) as emitter
D. It is an n-p-n transistor with \( \mathrm{R} \) as collector
Subject: Chemistry
\( \boldsymbol{K}_{\boldsymbol{w}} \) of pure water is \( \mathbf{1 0}^{-12} \) at \( \mathbf{6 0}^{\circ} \boldsymbol{C} \). The
\( p H \) of pure water at \( 60^{\circ} \mathrm{C} \) is:
Subject: Physics
The moon's radius is \( 1 / 4 \) that of the
earth and its mass \( 1 / 80 \) times that of
the earth. If \( g \) represents the acceleration due to gravity on the surface of the earth, then on the surface of the moon its value is:
\( A \cdot g / 4 \)
B. \( g / 5 \)
\( c \cdot g / 6 \)
D. g/8
Subject: Physics
A uniform disc is rolling on a horizontal surface. At a certain instant \( B \) is the
point of contact and \( A \) is a stationary
point at height \( 2 R \) from ground, where
\( R \) is radius of disc :
This question has multiple correct options
A. The magnitude of the angular momentum of the disc about \( B \) is thrice that about \( A \).
B. The angular momentum of the disc about \( A \) is anticlockwise
C. The angular momentum of the disc about \( B \) is clockwise.
D. The angular momentum of the disc about \( A \) is equal to that about \( B \).
Subject: Maths
Which of the following rational numbers lies between \( \frac{3}{4} \) and \( \frac{13}{8} ? \)
A \( \cdot \frac{11}{16} \)
в. \( \frac{12}{16} \)
c. \( \frac{19}{16} \)
D. \( \frac{26}{16} \)
Subject: Physics
Assertion
A polarised atom can be approximated as a dipole.
Reason
Electric field induces the charge separation in the atom.
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
Electric flux through a surface of area
\( 100 m^{2} \) lying in the xy plane is (in \( V \) -m) if \( \overrightarrow{\boldsymbol{E}}=\hat{\boldsymbol{i}}+\sqrt{\mathbf{2}} \hat{\boldsymbol{j}}+\sqrt{\mathbf{3} \hat{\boldsymbol{k}}} \)
A. 100
B. 141.4
c. 173.2
D. 200
Subject: Physics
Q Type your question
3
second. Frequency of wave emitted by source is \( 300 H z . X X^{\prime} \) is line along
common diameter of wave fonts
passing through \( ^{\prime} A^{\prime} . \) Distance between two consecutive wave fonts along line
\( X X^{\prime} \) is \( 0.9 m \) and \( 1.3 m \) in the right and
left of point \( A \) respectively. At some
instant source is at point \( \boldsymbol{A} \). Detector is
placed at point \( A . \) Detector is placed at
point \( ^{\prime} Q^{\prime} . A Q \) makes an angle \( 60^{\circ} \) with
line \( X X^{\prime} . \) If frequency of wave received by detector is \( \boldsymbol{f} \boldsymbol{H} \boldsymbol{z}, \) then \( \frac{\boldsymbol{f}}{\mathbf{1 1 0}}(\text { in } \boldsymbol{H} \boldsymbol{z}) \)
is equal to
Subject: Physics
The catcher prepares to receive a pitch from the pitcher. As the ball reaches and makes contact with his glove, the catcher pulls his hand backward. This action reduces the impact of the ball on the catcher's hand because:
A. The energy absorbed by his hand is reduced
B. The momentum of the pitch is reduced
c. The time of impact is increased
D. The time of impact is reduced
E. The force exerted on his hand remains the same
Subject: Physics
A ball of mass \( 5 k g \) is suspended from a
chord of length \( l=0.5 m \) is attached to
a cart \( A \) of mass \( 2.5 k g \), which slides
freely on a frictionless horizontal track
as shown in figure. The ball given an initial horizontal velocity 1 m / \( s \) relative to the ground while the cart is at rest.
Find
(a) The velocity of the ball when string makes minimum angle with vertical
(b) The maximum vertical distance
through which the ball will rise.
Subject: Maths
If the equation \( \sin ^{-1}\left(x^{2}+x+1\right)+ \)
\( \cos ^{-1}(\lambda x+1)=\frac{\pi}{2} \) has exactly two
solutions, then \( \lambda \) can not have the
integral value(s) This question has multiple correct options
A . -1
B. 0
c. 1
D. 2
Subject: Physics
The ratio of the amounts of energy
released as a result of the fusion of \( 1 k g \)
hydrogen \( \left(E_{1}\right) \) and fission of \( 1 k g \) of
\( \mathbf{9 2} \boldsymbol{U}^{\mathbf{2 3 6}}\left(\boldsymbol{E}_{\mathbf{2}}\right) \) will be:
A . 1.28
B. 3.28
c. 5.28
D. 7.28
Subject: Chemistry
Calculate the total entropy change for the transition at \( 368 \mathrm{K} \) of 1 mol of
sulphur from the monoclinic to the
rhombic solid state. Given \( \Delta \boldsymbol{H}= \)
\( -401.7 J m o l^{-1} \) for the transition
Assume the surroundings to be an ice-
water. Both at \( \mathbf{0}^{o} \boldsymbol{C} \) ?
A. \( -1.09 J K^{-1} \)
B . \( 1.47 J K^{-1} \)
c. \( 0.38 J K^{-1} \)
D. \( 0.76 J K^{-1} \)
Subject: Physics
A block of mass \( 2 k g \) is free to move along the \( X \) -axis. It is at rest and from
\( t=0 \) onwards it is subjected to a time-
dependent force \( F(t) \) in the \( x \) direction. The force \( F(t) \) varies with \( t \). the kinetic
energy of the block after 4.5 second is?
Subject: Chemistry
In the redox reaction given below:
\( \boldsymbol{x} \boldsymbol{N} \boldsymbol{O}_{3}^{-}+\boldsymbol{y} \boldsymbol{A} \boldsymbol{s}_{2} \boldsymbol{S}_{3}+\boldsymbol{z} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \boldsymbol{A} \boldsymbol{s} \boldsymbol{O}_{4}^{3-}+\boldsymbol{N} \boldsymbol{O}+\boldsymbol{S} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}^{+} \)
What is the value of \( \frac{x}{z} ? \)
Subject: Physics
In an experiment on the photo-electric effect, singly ionized helium is excited
electronically to different energy levels. The light emitted by ionized helium is incident on a photo-electric plate in a photocell. When helium is excited to
fourth energy level, then the observed stopping potential of the photocell is found to be five times the stopping
potential measured when the photoelectrons are produced by using light emitted by hydrogen atom, excited to the third energy level. Determine the
work function of the material of the
photo-electric plate.
Subject: Physics
When the acceleration of rod is zero, the
charge on capacitor is :
\( ^{\text {A. }} \frac{B^{2} L^{2} C Q_{0}}{M+B^{2} L^{2} C} \)
\( ^{\text {В }} \frac{B^{2} R^{4} C^{3} Q_{0}}{M+B^{2} L^{2} C^{2}} \)
c. \( \frac{B^{2} R^{4} C^{3} Q_{0}}{M+B^{2} R^{4} C^{4}} \)
D. \( \frac{B^{2} L^{2} C Q_{0}}{M+B^{2} L^{2} C^{2}} \)
Subject: Chemistry
In the reaction:
\( \boldsymbol{C H}_{3} \boldsymbol{C N} \frac{\boldsymbol{H}_{3} \boldsymbol{O}^{+}}{\text {heat}} \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
The hybridization state of the functional carbon changes from:
A \( \cdot s p^{3} \) to \( s p^{2} \)
B. \( s p^{2} \) to \( s p^{3} \)
c. \( s p \) to \( s p^{2} \)
D. \( s p^{2} \) to sp
Subject: Maths
Evaluating the following:
\( (1+2 \sqrt{x})^{5}+(1-2 \sqrt{x})^{5} \)
A \( \cdot 2\left(1+40 x^{2}+80 x\right) \)
B. \( 2\left(1-40 x+81 x^{2}\right) \)
c. \( 2\left(1+40 x+80 x^{2}\right) \)
D. None of these
Subject: Maths
Which of the following are APs ? If they form an AP, find the common difference
\( d \) and write three more terms.
(i) \( 2,4,8,16, \dots \)
(ii) \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
(iii) \( -1.2,-3.2,-5.2,-7.2, \dots \)
\( (i v)-10,-6,-2,2, \dots \)
\( (v) 3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2} \)
(vi) \( 0.2,0.22,0.222,0.2222, \ldots \)
\( (v i i) 0,-4,-8,-12, \dots \)
\( (\text { viii })-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \dots \)
\( (i x) 1,3,9,27 \)
\( (x) a, 2 a, 3 a, 4 a, \dots \)
\( (x i) a, a^{2}, a^{3}, a^{4}, \dots \)
\( (x i i) \sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \dots \)
\( (x \text { iii }) \sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, \dots \)
\( (x i v) 1^{2}, 3^{2}, 5^{2}, 7^{2}, . . \)
\( (x v) 1^{2}, 5^{2}, 7^{2}, 73, \dots \)
Subject: Maths
Find domain and range of the function
\( f(x) \) given by \( f(x)=\frac{x}{1+x^{2}} \)
A. Domain \( =R \) and Range \( =N \)
B. Domain \( =N \) and Range \( =R \)
c. Domain \( =R \) and \( \operatorname{Range}=R \)
D. Domain \( =R-\{0\} \) and Range \( =N \)
Subject: Physics
Let \( \left[\varepsilon_{o}\right] \) denote the dimensional formula
of the permittivity of the vacuum, and
\( \left[\mu_{o}\right] \) that of the permeability of the vacuum. If \( \mathrm{M}= \) mass, \( \mathrm{L}= \) length, \( \mathrm{T}= \) time
and I = electric current.
This question has multiple correct options
A \( \cdot\left[\mu_{o}\right]=M^{-1} L^{-3} T^{2} I \)
B . \( \left[\varepsilon_{o}\right]=M^{-1} L^{-3} T^{4} I^{2} \)
c. \( \left[\mu_{o}\right]=M L T^{-2} I^{-2} \)
\( \mathbf{D} \cdot\left[\mu_{o}\right]=M L^{2} T^{-1} I \)
Subject: Physics
The earth's magnetic field at a given point is \( 0.5 \times 10^{-5} W b m^{-2} . \) This field is
to be annulled by magnetic induction at the centre of a circular conducting loop
of radius \( 5.0 \mathrm{cm} . \) The current required to
be flown in the loop is nearly
в. \( 0.4 A \)
\( c .4 A \)
D. \( 40 A \)
Subject: Physics
What is (a) mass defect, and (b)
binding energy in Oxygen \( _{8}^{16} O, \) whose nuclear mass is 15.995 amu. \( \left(m_{p}=\right. \) \( \mathbf{1 . 0 0 7 8 a m u} ; \boldsymbol{m}_{n}=\mathbf{1 . 0 0 8 7 a m u} \)
Subject: Physics
One end Of a spring initially in natura length \( l_{0} \) lying on a horizontal frictionless table is fixed and the Other
end is fastened to a small puck of mass
\( \boldsymbol{m} . \) The puck is given velocity in a direction perpendicular to the spring of
magnitude \( V_{0} . \) In the course of motion the maximum elongation of the spring
is \( \frac{l_{0}}{10} . \) The force constant of the spring is:
\( \left(\text { Take } \frac{m v_{0}^{2}}{l_{0}^{2}}=121 \text { units }\right) \)
Subject: Maths
If the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\boldsymbol{x}^{2}-(\boldsymbol{A}+\mathbf{2}) \boldsymbol{x}+\boldsymbol{A}}{\boldsymbol{x}-\mathbf{2}}, \) for \( \boldsymbol{x} \neq \mathbf{2} \) and
\( f(2)=2, \) is continuous at \( x=2, \) then
find the value of \( \boldsymbol{A} \) ?
Subject: Physics
Assertion
The force between two electric charges
in a dielectric medium is less than it
would be in a vacuum.
Reason
Quantity of energy stored in an electric field per unit volume of a dielectric medium is greater than that of vaccum
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
When there occurs a transition from
\( \boldsymbol{n}=\mathbf{3} \) to \( \boldsymbol{n}=\mathbf{2} \) state in the hydrogen
the atom recoils. If \( \boldsymbol{E}_{1}-\boldsymbol{E}_{2}=\mathbf{1} . \mathbf{9} e \boldsymbol{V} \)
then the ratio of \( K E \) of recoil and the
photon energy is of the order of
A . 10
B . \( 10^{-9} \)
\( \mathrm{c} \cdot 10^{-6} \)
D. \( 10^{-11} \)
Subject: Chemistry
Assertion: \( F \) is more electronegative
than \( C l \)
Reason: \( F \) has high electron affinity than
\( C l \)
A. If both assertion and reason are true and the reason is a correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
C. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
Subject: Chemistry
Acid rain is caused by or recent reports
of acid rain in some industrial cities are
due to the effect of atmospheric
pollution by
A. Excessive release of \( C O_{2} \) by burning of fuels like wood and charcoal, cutting of forests and increased animal population
B. Excessive release of \( N O_{2} \) and \( S O_{2} \) in the atmosphere by burning of fossil fuel
C. Excessive release of \( N H_{3} \) by industrial plants and coal
gas
D. Excessive release of \( \mathrm{CO} \) in the atmosphere by incomplete combustion of coke, charcoal and other carbonaceous fuel in the of oxygen
Subject: Maths
Evaluate: \( \lim _{x \rightarrow \frac{\pi}{2}} \frac{\left(1-\tan \frac{x}{2}\right)(1-\sin x)}{\left(1+\tan \frac{x}{2}\right)(\pi-2 x)^{3}} \)
A \( \cdot \frac{1}{16} \)
\( B \cdot \frac{1}{8} \)
\( c \cdot 0 \)
D. \( \frac{1}{32} \)
Subject: Maths
A certain sum of money amounts to
\( R s .756 \) in 2 years and to \( R s .873 \) in \( 3 \frac{1}{2} \) years at a certain rate of simple interest. What is the rate of interest per
annum?
A. \( 11 \% \) p.a.
в. \( 12 \% \) р.а.
c. \( 13 \% \) p.a.
D. \( 14 \% \) р.а.
Subject: Physics
Two wires having different densities are joined at \( x=0 . \) An incident wave \( y= \)
\( A_{0} \sin \left(\omega t-k_{1} x\right) \) travelling to the right
in the wire \( \boldsymbol{x} \leq \mathbf{0} . \) If \( \boldsymbol{K}_{\mathbf{2}} \) is the wave
vector of the transmitted wave, then the
ratio of the amplitude of the reflected wave to that of the incident wave is:
\( \mathbf{A} \cdot \frac{A_{r}}{A_{0}}=\frac{k_{1}-k_{2}}{k_{1}+k_{2}} \)
В. \( \frac{A_{r}}{A_{0}}=\frac{k_{1}+k_{2}}{k_{1}-k_{2}} \)
C. \( \frac{A_{r}}{A_{0}}=\frac{2 k_{1} k_{2}}{k_{1}+k_{2}} \)
D. \( \frac{A_{r}}{A_{0}}=\frac{2 k_{1}}{k_{1}+k_{2}} \)
Subject: Physics
For a material \( Y=6.6 \times 10^{10} \mathrm{N} / \mathrm{m}^{2} \) and
bulk modulus \( \mathrm{K}=11 \times 10^{10} \mathrm{N} / \mathrm{m}^{2}, \) then its
Poissons's ratio is
A. 0.8
B. 0.35
\( c . \) о.
D. 0.4
Subject: Chemistry
A mixture of ethane \( \left(C_{2} H_{6}\right) \) and ethene
\( \left(C_{2} H_{4}\right) \) occupies 40 litre at 1.00 atm
and at \( 400 \mathrm{K} \). The mixture reacts
completely with 130 g of \( O_{2} \) to produce \( C O_{2} \) and \( H_{2} O . \) Assuming ideal gas behaviour, calculate the mole fractions
of \( C_{2} H_{6} \) in the mixture and write
numerical value (upto 2 digit only) after decimal point only (as for 0.19, write 19).
Subject: Maths
\( \int 7^{7^{7^{x}}} \cdot 7^{7^{x}} \cdot 7^{x} d x= \)
\( ^{\mathbf{A}} \cdot \frac{7^{7^{7^{x}}}}{(\log 7)^{3}}+C \)
в. \( \frac{7^{7^{7}}}{(\log 7)^{2}}+C \)
C \( \cdot 7^{7^{7^{x}}} \cdot(\log 7)^{3}+C \)
D・ \( 7^{7^{7}} \)
Subject: Maths
\( f(x)=\sin x \) and \( g(x)=\sec x \) then
\( \frac{f(\pi)-f\left(\frac{3 \pi}{2}\right)+f(0)}{g(\pi)+g(0)+g\left(\frac{\pi}{3}\right)} \)
\( ^{\mathrm{A}} \cdot \frac{1}{2} \)
B.
\( c \)
\( D \)
:
Subject: Chemistry
When \( N_{2} O_{5} \) is heated at temp. \( T, \) it
dissociates as \( N_{2} O_{5} \rightleftharpoons N_{2} O_{3}+ \)
\( O_{2}, K_{c}=2.5 . \) At the same time
\( N_{2} O_{3} \rightleftharpoons N_{2} O+O_{2} \). If initially 4.0
moles of \( N_{2} O_{5} \) are taken in 1.0 litre
flask and allowed to attain equilibrium,
concentration of \( O_{2} \) was formed to be
2.5 M. Equilibrium concentration of
\( N_{2} O \) is:
A .1 .0
в. 1.5
\( c \cdot 2.166 \)
D. 0.334
Subject: Physics
A particle of mass \( m \) and momentum \( \vec{p} \) moves on a smooth horizontal table and
collides directly and elastically with a similar particle (of mass \( m \) ) having momentum \( -2 \vec{p} \). The \( \operatorname{loss}(-) \) or gain
\( (+) \) in the kinetic energy of the first particle in the collision is-
A \( \cdot \quad \frac{p^{2}}{2 m} \)
В. \( -\frac{p^{2}}{4 m} \)
c. \( +\frac{3 p^{2}}{2 m} \)
D. zero
Subject: Chemistry
Which species does not exist?
A \( \cdot\left(\operatorname{Sn} C l_{6}\right)^{2-} \)
B. \( \left(G e C l_{6}\right)^{2-} \)
c. \( \left(C C l_{6}\right)^{2-} \)
D. \( \left(S i C l_{6}\right)^{2-} \)
Subject: Physics
A circular disc \( A \) of a radius \( r \) is made
from an iron plate of a thickness \( t \) and
another circular disc \( B \) of radius \( 4 r \) is made from an iron plate of thickness \( \frac{t}{4} \) The relation between the moments of
inertia \( I_{A} \) and \( I_{B} \) is
\( A \cdot I_{A}>I_{B} \)
B \( . I_{A}=I_{B} \)
\( \mathrm{c} \cdot I_{A}<I_{B} \)
D. depends on the actual value of \( t \) and \( r \)
Subject: Maths
The arithmetic mean of the following
data is \( 25, \) find the value of \( k \)
35 \( \begin{array}{llll}\boldsymbol{x}_{\boldsymbol{i}}: & \boldsymbol{5} & \boldsymbol{1} \boldsymbol{5} & \boldsymbol{2} \boldsymbol{5}\end{array} \)
\( \begin{array}{llll}f_{i:} & 3 & k & 3 & 6\end{array} \)
Subject: Maths
For what value of \( k \) the point \( (k, 2-2 k) \)
\( (1-k, 2 k) \) and \( (-4-k, 6-2 k) \) are
collinear
A \( .1,-1 / 2 \)
в. \( 1,1 / 2 \)
c. \( -1,1 / 2 \)
D. \( -1,-1 / 2 \)
Subject: Physics
There point charges of
\( +2 \mu C,-3 \mu C,-3 \mu C \quad \) are kept at
the vertices \( A, B \) and \( C \) respectively of an
equilateral triangle of side \( 20 \mathrm{cm} \) as shown in the figure.What should be the
sign and magnitude of the charge to be
placed at the mid - point (M) of side BC
so that the charge at A remains in
equilibrium?
Subject: Physics
A student carries out an experiment
and plots the \( V \) -I graph of three samples
of nichrome wire
with resistances \( \mathrm{R} 1, \) R2 and \( \mathrm{R} 3 \)
respectively (Figure.12.5). Which of the
following is true?
\( \mathbf{A} \cdot R_{1}=R_{2}=R_{3} \)
B \( \cdot R_{1}>R_{2}>R_{3} \)
\( \mathbf{c} \cdot R_{3}>R_{2}>R_{1} \)
\( \mathbf{D} \cdot R_{2}>R_{3}>R_{1} \)
Subject: Physics
One atomic mass unit (amu) is
approximately equal to
A . \( 931.4 \mathrm{MeV} \)
B . \( 251.2 \mathrm{MeV} \)
c. \( 120.4 \mathrm{MeV} \)
D. \( 170.5 \mathrm{MeV} \)
Subject: Chemistry
The conductivity of 0.001 mol \( L^{-1} \) acetic
acid is \( 5 \times 10^{-5} s c m^{-1} \). Calculate it's
dissociation constant if \( \lambda_{m}^{o} \) m for acetic
\( \operatorname{acid} \) is \( 250 \operatorname{scm}^{2} m o l^{-1} ? \)
Subject: Maths
If three mutually perpendicular lines have direction cosines
\( \left(\ell_{1}, \mathbf{m}_{1}, \mathbf{n}_{1}\right),\left(\ell_{2}, \mathbf{m}_{2}, \mathbf{n}_{2}\right) \) and
\( \left(\ell_{3}, \boldsymbol{m}_{3}, \boldsymbol{n}_{3}\right), \) then the line having
direction cosines \( \ell_{1}+\ell_{2}+\ell_{3}, \boldsymbol{m}_{1}+ \)
\( \boldsymbol{m}_{2}+\boldsymbol{m}_{3} \) and \( \boldsymbol{n}_{1}+\boldsymbol{n}_{2}+\boldsymbol{n}_{3} \) make an
angle of \( \ldots \ldots \) with each other.
A . 0
B. 30
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Maths
\( \operatorname{lf} \lim _{x \rightarrow 0} \frac{\sin 2 x+\cos 2 x}{x^{3}+5}=k \) then \( k= \)
\( A \cdot 2 \)
B . - -
\( c \cdot 1 / 5 \)
D.
Subject: Chemistry
Which of the following order regarding the size of hybrid orbital of carbon is
correct?
\( \mathbf{A} \cdot s p>s p^{2}>s p^{3} \)
B . \( s p<s p^{2}<s p^{3} \)
C \( . s p>s p^{2}<s p^{3} \)
D \( \cdot s p<s p^{2}>s p^{3} \)