AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In electrtolysis of \( A l_{2} O_{3} \) by Hall-
Heroult process:
A. cryolite \( N a_{3}\left[A I F_{6}\right] \) lowers the melting point of \( A l_{2} O_{3} \) and increases its electrical conductivity
B. \( A l \) is obtained at cathode and probably \( C O_{2} \) at anode
c. both (a) and (b) are correct
D. none of the above is correct
Subject: Physics
A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to \( \frac{1}{1000} \) of the original amplitude is close to :-
A . 100 s
в. \( 20 s \)
\( c .10 s \)
D. \( 50 s \)
Subject: Chemistry
A solution containing \( 0.1 M Z n^{2+} \) and \( 0.01 M C u^{2+} \) saturated with \( H_{2} S . \) The \( S^{2-} \) concentration is \( 8.1 \times 10^{-31} M \)
Will \( Z n S \) and \( C u S \) precipitate? \( \boldsymbol{K}_{s p}(\boldsymbol{Z} \boldsymbol{n} \boldsymbol{S})=\boldsymbol{3} \cdot \boldsymbol{0} \times \boldsymbol{1 0}^{-2 \boldsymbol{3}} \) and
\( \boldsymbol{K}_{s p}(\boldsymbol{C u S})=\mathbf{8 . 0} \times \mathbf{1 0}^{-\mathbf{4}} \)
Subject: Physics
Dimension of specific heat is:
A \( \cdot M L T^{-1} K^{-1} \)
B. \( M L^{2} T^{-2} K^{-1} \)
c. \( M^{0} L^{2} T^{-2} K^{-1} \)
D. \( M^{-1} L^{2} T^{-2} K^{-1} \)
Subject: Physics
The four wires from a larger circuit
intersect at junction A a shown. What is
the magnitude and direction of the
current between points \( A \) and \( B ? \)
A. 2 A from \( A \) to \( B \)
B. 2 A from \( B \) to \( A \)
C. 3 A from A to B
D. 3 A from B to A
Subject: Maths
If \( \boldsymbol{y}=\mathbf{3}, \) then \( \boldsymbol{y}^{3}\left(\boldsymbol{y}^{3}-\boldsymbol{y}\right)= \)
A. 300
в. 459
\( c \cdot 648 \)
D. 999
E . 1099
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{x} \sqrt{1-\boldsymbol{x}^{2}}+\sin ^{-1} \boldsymbol{x}, \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is
Subject: Maths
The number of pairs \( (a, b) \) of positive
real numbers satisfying \( a^{4}+b^{4}<1 \)
and \( a^{2}+b^{2}>1 \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. More than 2
Subject: Maths
What is the order of the product \( \left[\begin{array}{lll}\boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z}\end{array}\right]\left[\begin{array}{lll}\boldsymbol{a} & \boldsymbol{h} & \boldsymbol{g} \\ \boldsymbol{h} & \boldsymbol{b} & \boldsymbol{f} \\ \boldsymbol{g} & \boldsymbol{f} & \boldsymbol{c}\end{array}\right]\left[\begin{array}{l}\boldsymbol{x} \\ \boldsymbol{y} \\ \boldsymbol{z}\end{array}\right] \)
\( A \cdot 3 \times 1 \)
в. \( 1 \times 1 \)
\( c \cdot 1 \times 3 \)
D. \( 3 \times 3 \)
Subject: Physics
Two intersecting straight lines move
with speeds \( 3 m / s \) and \( 4 m / s \) parallel to themself. If angle between the lines is
\( 90^{\circ} \) then speed of intersection point is
A. \( 5 m / s \)
B. \( 3 m / s \)
c. \( 4 m / s \)
D. None
Subject: Physics
Find the magnetic field due to
conducting wire at point \( O, \) at centre of
semicircle of radius \( r \) and carrying a
current \( i \) as shown in the figure.
\( ^{A} \cdot \frac{\mu_{0}}{4 r} \)
в. \( \frac{\mu_{0} i}{4 r}(1+2 \pi) \)
c. \( \frac{\mu_{0} i}{4 r}(\pi-2) \)
D. \( \frac{\mu_{0} i}{4 \pi r}(\pi+2) \)
Subject: Biology
Consider the following statements with reference to criterion/criteria used in
the classification of plants in the engler and Prantl's system.
a. The families were arranged according to the increasing complexity of flower
and fruit.
b. In flowering plants absence of perianth was considered as a primitive character
c. Monocots were considered to be more
primitive than dicots
d. Unisexual flowers were derived from
bisexual flowers.
Which of the statements given are
correct?
A. 1 and 2
B. 1 and 4
C .1,2 and 3
D. 2,3 and 4
Subject: Maths
Find the midpoint between the coordinates \( (\mathbf{9}, \mathbf{3}) \) and \( (\mathbf{1}, \mathbf{1}) \)
\( \mathbf{A} \cdot(5,2) \)
B \( \cdot(3,2) \)
\( \mathbf{c} \cdot(5,1) \)
D \( \cdot(3,1) \)
Subject: Maths
Mohan spent \( 25 \% \) of his monthly
earning on magazines. Out of the remaining amount amount he spent \( 75 \% \) on the hostel and college fees. If he had Rs. 120 at the end of the month, find how much money he has received from his father in that month?
A. Rs. 1000
B. Rs. 1260
c. Rs. 640
D. Rs. 850
Subject: Maths
If \( f(x) \) is a continuous function on [0,1] differentiable in (0,1) such that \( f(1)=0, \) then there exists some
\( c \epsilon(0,1) \) such that
A \( \cdot c f^{\prime}(c)-f(c)=0 \)
B. \( f^{\prime}(c)+c f(c)=0 \)
c. \( f^{\prime}(c)-c f(c)=0 \)
D. \( c f^{\prime}(c)+f(c)=0 \)
Subject: Chemistry
The correct statements among
\( (a) \operatorname{to}(d) \)
regarding \( \mathrm{H}_{2} \) as a fuel are :
(a) It produces less pollutant than petrol.
(b) A cylinder of compressed dihydrogen weighs \( \sim 30 \) times more than a petrol
tank producing the same amount of
energy.
(c) Dihydrogen is stored in tanks of
metal alloys like \( N a N i_{5} \)
(d) On combustion, values of energy
released per gram of liquid dihydrogen and LPG are 50 and \( 142 \mathrm{kJ} \), respectively
\( A \). b and donly
B. a, b and conly
\( c . \) b, cand donly
D. a and c only
Subject: Maths
Evaluate the integral \( \int_{0}^{\infty} e^{-2 x} \cdot \sin 5 x d x \)
A \( \cdot \frac{-2}{29} \)
в. \( \frac{2}{29} \)
c. \( \frac{5}{29} \)
D. \( \frac{7}{25} \)
Subject: Physics
A beam of light consisting of two
wavelengths, \( 650 \mathrm{nm} \) and \( 520 \mathrm{nm} \) is
used to obtain interference fringes in a Youngs double-slit experiment. What is the least distance from the central
maximum where the bright fringes due to both the wavelengths coincide?
A . \( 1.17 \mathrm{mm} \)
B. 2.52 mm
c. \( 1.56 \mathrm{mm} \)
D. 3.14 mm
Subject: Maths
Given \( \boldsymbol{A}=\{\mathbf{5}, \mathbf{6}, \mathbf{7}\} \) and \( \boldsymbol{B}=\{\mathbf{3}, \mathbf{4}\} \)
Form all possible ordered pairs and write the total number of ordered pairs formed. So that :
Both the components are from A
Find the total number of such pairs.
Subject: Chemistry
A sol has positively charged colloidal particles. Which of the following solutions is required in lowest concentration for coagulation?
A. \( \mathrm{NaCl} \)
B . \( \mathrm{K}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right] \)
\( c \cdot \mathrm{ZnCl}_{2} \)
D. \( \mathrm{Na}_{2} \mathrm{SO}_{4} \)
Subject: Physics
A boy throws a ball straight up in in the air from a \( 100 m \) tall building and the ball travels \( 20 m \) upwards before it starts falling down and comes to rest when it reaches the ground. What are the magnitudes of displacement and distance of the ball?
A. \( 100 m, 140 m \)
n
в. \( 120 m, 120 m \)
\( \mathrm{c} .140 \mathrm{m}, 120 \mathrm{m} \)
D. 240 \( m, 120 m \)
Subject: Physics
Assertion
IF a resistor is connected to a battery,
the current increases when the
temperature increases.
Reason
For resistors, resistance increases with
increase in temperature.
A . Assertion is incorrect and Reason is correct
B. Both Assertion and Reason are correct but Reason is the correct explanation for Assertion
c. Both Assertion and Reason are correct but Reason is not the correct explanation for assertion
D. Assertion is correct and Reason is incorrect
Subject: Physics
A parallel plate capacitor is connected
to a cell. It's positive plate \( A \) and the
negative plate B have charges \( +\boldsymbol{Q} \) and
\( -Q \) respectively. A third plate \( C \)
identical to \( A \) and \( B \) with charge \( +Q \) is
now introduced midway between the plates \( A \) and \( B \) parallel to them What is the charge on the inner surface of \( A \) ?
A \( \cdot Q \)
в. \( \frac{\mathrm{Q}}{2} \)
c. \( \frac{3 Q}{2} \)
D. \( \frac{\mathrm{Q}}{4} \)
Subject: Physics
A swimmer swims in still water at a
speed \( =5 k m / h . \) He enters a \( 200 m \)
wide river, having river flow speed \( = \)
\( 4 k m / h r \) at point \( A \) and proceeds to
swim at an angle of \( 127^{\circ} \) with the river flow direction. Another point B is located
directly across \( A \) on the other side. The
swimmer lands on the other bank at a
point \( C, \) from which he walks the
distance \( \mathrm{CB} \) with a speed \( =3 k m / h r \)
The total time in which he reaches from
\( A \) to \( B \) is
A . 5 minutes
B. 4 minutes
c. 3 minutes
D. none
Subject: Physics
A slender uniform rod of mass \( \mathrm{M} \) and
length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The
angular acceleration of the rod when it
makes an angle \( \theta \) with vertical is
A \( \cdot \frac{3 g}{2 l} \cos \theta \)
в. \( \frac{2 g}{3 l} \cos \theta \)
\( c \)
D.
Subject: Physics
Three charges \( Q,+q \) and \( +q \) are placed
at the vertices of a right-angled isosceles triangle between as shown. The net electrostatic energy of the configuration is zero if \( Q \) is equal to
\( ^{A} \cdot \frac{-2 q}{1+\sqrt{2}} \)
в. \( \frac{2 q}{2+\sqrt{2}} \)
\( c \cdot-2 q \)
D. \( +q \)
Subject: Maths
The sides of a right triangle are 9,12 and \( 15 \mathrm{cm} \) long. Find the sum of the squares of the medians.
A. \( 327.5 \mathrm{cm} \)
B . \( 332.5 \mathrm{cm} \)
c. \( 337.5 \mathrm{cm} \)
D. \( 322.5 \mathrm{cm} \)
Subject: Chemistry
The reaction of aqueous \( K M n O_{4} \) with
\( H_{2} O_{2} \) in acidic conditions gives:
\( A \cdot M n^{4+} \) and \( O_{2} \)
B. \( M n^{2+} \) and \( O_{2} \)
c. \( M n^{2+} \) and \( O_{3} \)
D. \( M n^{4+} \) and \( M n O_{2} \)
Subject: Maths
The survey of a manufacturing company producing a beverage and snacks was done. It was found that it
sells orange drinks at \( \$ 1.07 \) and choco chip cookies at \( \$ 0.78 \) the maximum.
Now, it was found that it had sold 57
food items in total and earned about
\( \$ 45.87 \) of revenue. Find out the
equations representing these two
A. \( \left\{\begin{array}{l}x+y=45.87 \\ 1.07 x+0.78 y=57\end{array}\right. \)
В \( \cdot\left\{\begin{array}{l}x+y=57 \\ 1.07 x+0.78 y=45.87\end{array}\right. \)
c. \( \left\{\begin{array}{l}x+y=47 \\ 0.78 x+1.07 y=45.94\end{array}\right. \)
D. \( \left\{\begin{array}{l}x+y=47 \\ 107 x+78 y=45.94\end{array}\right. \)
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \boldsymbol{i f} \boldsymbol{x}^{\frac{2}{3}}+\boldsymbol{y}^{\frac{\boldsymbol{2}}{3}}=\boldsymbol{a}^{\frac{\boldsymbol{2}}{3}} \)
Subject: Chemistry
Balance the following redox reaction in basic medium.
\( \boldsymbol{C l}_{2}+\boldsymbol{I} \boldsymbol{O}_{3}^{-}+\boldsymbol{O H}^{-} \longrightarrow \boldsymbol{I} \boldsymbol{O}_{4}^{-}+\boldsymbol{C l}^{-} \)
A \( \cdot C l_{2}+I O_{3}^{-}+3 O H^{-} \rightarrow I O_{4}^{-}+5 C l^{-}+H_{2} O \)
B. \( C l_{2}+I O_{3}^{-}+2 O H^{-} \rightarrow I O_{4}^{-}+2 C l^{-}+H_{2} O \)
c. \( C l_{2}+2 I O_{3}^{-}+2 O H^{-} \rightarrow I O_{4}^{-}+5 C l^{-}+H_{2} O \)
D. None of the above
Subject: Maths
If \( \boldsymbol{a}=(\mathbf{0}, \mathbf{1},-\mathbf{1}) \) and \( \boldsymbol{c}=(\mathbf{1}, \mathbf{1}, \mathbf{1}) \) are
given vectors, then find \( |b|^{2}, \) where \( b \)
satisfies \( a \times b+c=0 \) and \( a \cdot b=3 \)
\( A \cdot 6 \)
B. 12
\( c \cdot 18 \)
D. 3
Subject: Chemistry
When a Dobereiner triad is considered,
the sum of atomic weights of extreme elements \( X \) and \( Z \) is 177.6 and difference
of \( Z \) and \( Y \) is five times the number of
protons present in a neon atom. Identify \( x, Y \) and \( z \)
\( \mathbf{A} \cdot X \rightarrow C a, Y \rightarrow S r, Z \rightarrow B a \)
в. \( X \rightarrow L i, Y \rightarrow N a, Z \rightarrow K \)
c. \( X \rightarrow K, Y \rightarrow R b, Z \rightarrow C s \)
D. \( X \rightarrow S r, Y \rightarrow B a, Z \rightarrow R a \)
Subject: Chemistry
For the reaction \( C O(g)+2 H_{2}(g) \leftrightharpoons \)
\( \boldsymbol{C H}_{2} \boldsymbol{O H}(\boldsymbol{g}) . \) If active mass of \( \boldsymbol{C O} \) is
kept constant and active mass of \( \boldsymbol{H}_{2} \) is tripled, the rate of forward reaction will
become:
A. three times
B. six times
c. eight times
D. nine times
Subject: Maths
Assertion
\( (A): \) If \( A=(300)^{600}, B=600 !, C= \)
\( (200)^{600}, \) then \( A>B>C \)
Reason
\( (\mathrm{R}):\left(\frac{n}{2}\right)^{n}>n !>\left(\frac{n}{3}\right)^{n} \) for \( n>6 \)
A. Both (A) \& (R) are individually true \& (R) is correct explanation of (A).
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
c. (A) is true but (R) is false.
D. (A) is false but (R) is true.
Subject: Chemistry
Assertion
Light is not considered as matter.
Reason

Light do not occupy space, have no
mass or volume.
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
Methyl orange is used as an indicator. It shows colour changes in acid, base and
neutral substance. Tabulate your
results as follows:
Inference interence \( \begin{array}{ll}\text { Indicator } & \text { Colour Change } \\ & \text { No change } \\ \text { Methyl Orange } & \cdots \\ & \text { Yellow }\end{array} \) Acid
Subject: Maths
ABCD is a parallelogram. The position vectors of \( A \) and \( C \) are respectively, \( 3 \hat{i}+ \) \( 3 \hat{j}+5 \hat{k} \) and \( \hat{i}-5 \hat{j}-5 \hat{k} . \) If \( \mathrm{M} \) is the
mid-point of the diagonal DB, then the magnitude of the projection of \( \boldsymbol{O} \boldsymbol{M} \) on \( \overrightarrow{O C}, \) where 0 is the origin is?
A \( \cdot \frac{7}{\sqrt{50}} \)
B . \( 7 \sqrt{50} \)
c. \( \frac{7}{\sqrt{51}} \)
D. \( 7 \sqrt{51} \)
Subject: Chemistry
Assertion
The transfer of electrons from zinc to
copper takes place through metal wire connecting the two rods.
Reason
Electricity from solution in one beaker to other flows by migration of ions through the salt bridge.
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
ff \( \boldsymbol{x} \times \boldsymbol{y}=\boldsymbol{x}^{2}+\boldsymbol{y}^{2}-\boldsymbol{x} \boldsymbol{y} \) then the value
of \( 9 \times 11 \) is :
A . 93
B. 103
\( c \cdot 113 \)
D. 121
Subject: Chemistry
The molar conductivity of a
\( 0.5 m o l / d m^{3} \) solution of \( A g N O_{3} \) with electrolytic conductivity of \( 5.76 \times \) \( 10^{-3} \operatorname{Scm}^{-1} \) at \( 298 K \) is:
A \( .2 .88 S \mathrm{cm}^{2} / \mathrm{mol} \)
B . \( 11.52 \mathrm{S} \mathrm{cm}^{2} / \mathrm{mol} \)
c. \( 0.086 S \mathrm{cm}^{2} / \mathrm{mol} \)
D. \( 28.8 S \mathrm{cm}^{2} / \mathrm{mol} \)
Subject: Maths
30 children were asked about the
number of hours they watched TV programmes last week. The results are
recorded as under:
\( \begin{array}{lllll}\begin{array}{l}\text { Number } \\ \text { of }\end{array} & \mathbf{0}- & \mathbf{5}- & \mathbf{1 0}- & \mathbf{1 5}- \\ \text { hours } & \mathbf{5} & \mathbf{1 0} & \mathbf{1 5} & \mathbf{2 0}\end{array} \)
frequncy
16
What is the number of children who
watched TV for 10 or more hours a week?
A . 8
B. 6
c. 10
D. 4
Subject: Chemistry
Consider the following molecules/ions:
\( \boldsymbol{S} \boldsymbol{O}_{2}, \boldsymbol{C} \boldsymbol{O}_{2}, \boldsymbol{N}_{2} \boldsymbol{O}, \boldsymbol{O} \boldsymbol{F}_{2}, \boldsymbol{I} \boldsymbol{C l}_{2}^{-}, \boldsymbol{I}_{3}^{-}, \boldsymbol{N} \boldsymbol{O}_{2}, \boldsymbol{N} \)
Among the above, the number of molecules/ions which are linear, is
Subject: Biology
Assertion
Selaginella and Salvinia are homosporous
Reason
Similar kind of spores are produced in Selaginella and Salvinia.
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
If \( \boldsymbol{A}=\frac{\mathbf{1}}{\sqrt{\mathbf{3}}}\left[\begin{array}{cc}\mathbf{1} & \boldsymbol{i}+\mathbf{1} \\ \boldsymbol{i}-\mathbf{1} & \mathbf{1}\end{array}\right], \) then \( \boldsymbol{A}\left(\boldsymbol{A}^{\boldsymbol{T}}\right) \)
equals
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( I \)
\( c .-I \)
D. \( 2 I \)
Subject: Chemistry
Which selection correctly shows units for specific heat capacity?
A \( \cdot \) Cal \( \cdot g \cdot^{\circ} C \)
в. \( C a l \cdot g /^{\circ} C \)
\( \mathbf{c} \cdot J /\left(g \cdot^{o} C\right) \)
D. \( g / J \). \( ^{\circ} C \)
Subject: Physics
An iron sphere of mass \( 10 \mathrm{kg} \) has the
same diameter as an
aluminium sphere of mass is \( 3.5 \mathrm{kg} \) Both spheres are dropped simultaneously from a tower. When they are \( 10 \mathrm{m} \) above the ground, they have
the same
A. acceleration
B. momenta
c. potential energy
D. kinetic energy
Subject: Physics
After an interval of one day, \( \frac{1}{16} t h \) initia amount of a radioactive material
remains in a sample. Then, its half-life
is
\( \mathbf{A} \cdot 6 h \)
в. \( 12 h \)
\( c .1 .5 h \)
D. \( 3 h \)
Subject: Physics
The primary winding of a transformer has 100 turns and its secondary winding has 200turns. The primary is connected to an A.C supply of \( 120 \mathrm{V} \) and the current flowing in it is 10 A. The voltage and the current in the secondary
are
A. \( 240 V, 5 A \)
в. \( 240 V, 10 A \)
c. \( 60 V, 20 A \)
D. \( 120 V, 20 A \)
Subject: Chemistry
When \( 1.88 g \) of \( \operatorname{AgBr}(s) \) is added to a
\( 10^{-3} M \) aqueous solution of \( K B r, \) the concentration of \( \mathrm{Ag} \) is \( 5 \times 10^{-10} \mathrm{M} \). If the
same amount of \( A g B r(s) \) is added to a
\( 10^{-2} \) M aqueous solution of \( A g N O_{F} \)
the concentration of \( B r^{-} \) is:
A . \( 9.4 \times 10^{-9} M \)
В. \( 5 \times 10^{-10} M \)
c. \( 1 \times 10^{-11} M \)
D. \( 5 \times 10^{-11} M \)
Subject: Chemistry
Which of the following is not an example of symmetrical ether?
A. \( C H_{3}-O-C_{2} H_{5} \)
в. \( C_{2} H_{5}-O-_{\}^{C H}-C H_{2}-C H_{3} \)
c.
\[
C_{2} H_{5}-O-C_{1}^{\prime}-C H_{3}
\]
D. All of them
Subject: Physics
A tall, cylindrical chimney falls over when its base is ruptured. Treat the
chimney as a thin rod of length \( 55.0 \mathrm{m} \)
At the instant it makes an angle of
\( 35.0^{\circ} \) with the vertical as it falls, what
are
(a) the radial acceleration of the top,
and
(b) the tangential acceleration of the top. (Hint : Use energy considerations, not a torque.)
(c) At
what angle \( \theta \) is the tangential acceleration equal to g?
Subject: Chemistry
Which statement is wrong among the following statement? Statement 1: Non metal possess the property of ductility and malleability Statement 2: Non metallic elements in
solid form are brittle

Statement 3: Metal can produce ringing sound by striking Statement 4: Melting points and boiling points of metals are low
A. Statement 1 and 3
B. Statement 2 and 3
c. statement 1 and 4
D. Statement 2 and 4
Subject: Chemistry
The equilibrium constant for the given reaction is 81 at a certain temperature
If the concentrations of \( \boldsymbol{H}_{2} \) and \( \boldsymbol{I}_{2} \) are 3
moles/lit each at equilibrium, the equilibrium concentration of HI is:
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \leftrightharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
A. 3 mole / lit
B. 27 mole / lit
c. 9 mole / lit
D. 13.5 mole / lit
Subject: Physics
A 4 kg mass is resting on a horizontal
surface. for this surface \( \mu_{8}=0.6 \) and \( \mu_{k}= \)
0.2. force required to move the body with \( 5 m s^{-2} \) acceleration is \( \left(g=10 m s^{-2}\right) \)
A. 20
B. 24 N
\( c .25 \mathrm{N} \)
D. 32 N
Subject: Chemistry
In the decomposition of oxalic acid following data were obtained.
\[
\begin{array}{lcc}
\text { Time (second) } & 0 & 300 \\
\text { Volume of } K M n O_{4} & 22.0 & 17.0
\end{array}
\]
used in \( \mathrm{mL} \)
If reaction obeys 1 st order kinetics then
determine the rate constant K and half-
life period:
A \( \cdot 8.43 \times 10^{-4} \) sec \( , 13.7 \) minute
B . \( 86 \times 10^{-4} \) sec \( , 134.3 \) minute
c. \( 8.6 \times 10^{-5} \) sec \( , 1.343 \) minute
D. None of these
Subject: Physics
The magnetic flux linked with a coil
satisfies the relation \( \phi=4 t^{2}+6 t+9 \)
Wh, where t is the time in second. The emf induced in the coil at \( t=2 s \) is
A 22 V V \( V \) ) 22
в. \( 18 V \)
\( \mathrm{c} .16 \mathrm{V} \)
D. \( 40 V \)
Subject: Physics
A radioactive element \( X \) converts into
another stable element \( Y \). Half-life of \( \boldsymbol{X} \)
is 2 \( h \). Initially, only \( X \) is present. After
time \( t, \) the ratio of atoms of \( X \) and \( Y \) is
found to be \( 1: 4 . \) Then \( t \) in hours is
A . 2
B. 4
c. between 4 and 6
D. 6
Subject: Chemistry
The kinetic energy for 14 grams of nitrogen gas at \( 127^{0} C \) is nearly (mol.
mass of nitrogen \( =28 \) and gas constant \( \left.=8.31 J K^{-1} m o l^{-1}\right) \)
\begin{tabular}{l} 
A \( .1230 \mathrm{J} \) \\
\hline
\end{tabular}
B. 4015 J
c. 2493 J
D. \( 990 J \)
Subject: Chemistry
As per Bohr's model, an electron in an uni-electronic species revolves around
the nucleus in circular orbits. What is
the radius of the 3 rd orbit of \( \boldsymbol{H} \boldsymbol{e}^{+} \) ion?
A \( .2 .38 \AA \)
В. \( 1.19 \dot{A} \)
c. \( 0.7 \dot{h} \)
D. \( 4.76 \AA \)
Subject: Chemistry
The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is:
\( \left(a_{0} \) is Bohr radius) \right.
A \( \cdot \frac{h^{2}}{4 \pi^{2} m a_{0}^{2}} \)
B. \( \frac{h^{2}}{16 \pi^{2} m a_{0}^{2}} \)
c. \( \frac{h^{2}}{32 \pi^{2} m a_{0}^{2}} \)
D. \( \frac{h^{2}}{64 \pi^{2} m a_{0}^{2}} \)
Subject: Maths
If a selected student has been found to
pass the examination then find out the
probability that he is the only student to have passed the examination.
\( ^{\mathbf{A}} \cdot_{P\left(E_{1} / A\right)}=\frac{4}{[n(2 n+1)]^{2}} \)
в. \( \quad P\left(E_{1} / A\right)=\frac{2}{[n(2 n+1)]^{2}} \)
\( ^{\mathrm{c}} P\left(E_{1} / A\right)=\frac{4}{[n(n+1)]^{2}} \)
D. \( \quad P\left(E_{1} / A\right)=\frac{2}{[n(n+1)]^{2}} \)
Subject: Chemistry
Decreasing order of boiling point of \( I \) to
\( \boldsymbol{I} \boldsymbol{V} \) follow
Methylformate Ethylformate Iso-propylformate \[ _{I I I} \] n-Propylformtae
\( A \cdot|>||>|||>\mid V \)
B. ||| > IV > || > |
c. \( \mid V>\|>\|>1 \)
Subject: Chemistry
The atomic numbers of elements
\( A, B, C \) and \( D \) are \( Z-1, Z, Z+1 \) and
\( Z+2, \) respectively. If \( ^{\prime} B^{\prime} \) is a noble gas, choose the correct answers from the following statements
(1) \( ^{\prime} A^{\prime} \) has higher electron affinity
(2) ' \( C^{\prime} \) exists in +2 oxidation state
(3) ' \( D^{\prime} \) is an alkaline earth metal
A \( \cdot(1) \) and (2)
B. (2) and (3)
c. (1) and (3)
D. (1),(2) and (3)
Subject: Physics
Four particles of masses \( \mathrm{m}, 2 \mathrm{m}, 3 \mathrm{m} \) and \( 4 \mathrm{m} \) are arranged at the corners of the parallelogram with each side equal to a
and one of the angle between two
adjacent sides is \( 60^{\circ} \).The parallelogram
lies in the \( x \) -y plane with mass \( m \) at the origin and \( 4 \mathrm{m} \) on the \( \mathrm{X} \) -axis.The center
of mass of the arrangement will be
located at
A \( \cdot\left(\frac{\sqrt{3}}{2} a, 0.95 a\right) \)
в. \( \quad\left(0.95 a, \frac{\sqrt{3}}{4} a\right) \)
c. \( M R^{2}=2 I \)
D. \( \left(\frac{a}{2}, \frac{3 a}{4}\right) \)
Subject: Maths
Which of the following is not a quadratic equation
A \( \cdot x-\frac{3}{2 x}=5 \)
в. \( 4 x-\frac{5}{8}=x^{2} \)
c. \( _{x+\frac{1}{x}=9} \)
D. \( 4 x-\frac{2}{3 x}=4 x^{2} \)
Subject: Physics
What is the change in potential energy (in calories) of a \( 10 \mathrm{kg} \) mass after \( 10 \mathrm{m} \) fall?
A. 1000 call \( l \)
в. \( 0.1 \mathrm{kcal} \)
c. 238.9 cal
D. 23.89 cal