AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The major product in the following at \( 25^{\circ} \mathrm{C} \) is: \( C H_{3} C O O H^{C H_{3} C H_{2} N H_{2}} \)
\( \mathbf{A} \cdot C H_{3} C O N H C H_{2} C H_{3} \)
B \( \cdot C H_{3} C H=N C H_{2} C H_{3} \)
\( \mathbf{c} \cdot N H_{3}^{+} C H_{2}^{-} C H_{3} \cdot C H_{2} C O O^{-} \)
D. \( C H_{2} C O N=C H C H_{3} \)
Subject: Physics
Playing with a lens one morning, Rita discovers that if she holds the lens 0.120
\( \mathrm{m} \) away from a wall opposite to a window, she can see a sharp but
upside-down picture of the outside
world on the wall. That evening, she covers a lighted lamp with a piece of card on which she has pierced a small hole, \( 0.005 \mathrm{m} \) in diameter. By placing
the lens between the illuminated card
and the wall, she manages to produce a sharp image of diameter \( 0.020 \mathrm{m} \) on the wall. What is the distance between the
card and the wall?
A. \( 0.450 \mathrm{m} \)
B. 0.750 \( \mathrm{m} \)
c. \( 0.600 \mathrm{m} \)
D. \( 0.300 \mathrm{m} \)
Subject: Physics
A force of \( 10 N \) acts on a body of mass
\( 20 k g \) for \( 10 s . \) Change in its momentum
is:
\( \mathbf{A} .5 k g m / s \)
в. \( 100 k g m / s \)
c. \( 200 k g m / s \)
D. \( 1000 k g m / s \)
Subject: Maths
If two parallel chords on the same side
of the centre of a circle are \( 6 \mathrm{cm} \) and 8
\( \mathrm{cm}, \) and they are \( 1 \mathrm{cm} \) apart, then the diameter of the circle will be
\( \mathbf{A} \cdot 14 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
c. \( 8 \mathrm{cm} \)
D. \( 5 \mathrm{cm} \)
Subject: Physics
An infintely long straight wire carrying current of \( 10 \mathrm{A} \) is passing through the centre of the above circuit vertically with the direction of the current being into the plane of the circuit.What is the
force acting on the wire at the centre due to the current in the circuit?What is
the force acting on the arc \( A C \) and the straight segment CD due to the current at the centre?
Subject: Physics
A small metal sphere carrying charge
\( +Q \) is located at the centre of a spherical cavity in a large uncharged metallic
spherical shell. Write the charges on the
inner and outer surfaces of the shell.
Write the expression for the electric
field at the point \( P_{1} \) is \( E=\frac{x Q}{4 \pi \epsilon_{0} r_{1}^{2}} . \) Then
the value of \( x \) is :
Subject: Physics
The natural frequency of an LC - circuit
is 1,25,000 cycles per second. Then the capacitor \( C \) is replaced by another capacitor with a dielectric medium of dielectric constant k. In this case, the
frequency decreases by \( 25 k H z . \) The
value of k is:
A . 3.0
B. 2.
c. 1.56
D. 1.7
Subject: Physics
\( 0.38 e v_{-1-}-n 6 \)
\( 0.54 e v_{-}--n 5 \)
\( 0.85 e v_{-}---n 4 \)
\( 1.52 e v_{-}--n 3 \)
\( 3.39 e v_{-1-}-n 2 \)
13.6ev \( \boldsymbol{n} \mathbf{1} \)
A hydrogen electron falls from the \( n=3 \)
to the \( n=1 \) energy level. Using the
chart above, determine how much
energy it must release:
\( \mathbf{A} \cdot+0.97 e V \)
B. \( +2.85 e V \)
\( \mathbf{c} \cdot+10.29 e V \)
D. +12.08 eV
E . \( +13.06 \mathrm{eV} \)
Subject: Physics
Figure shows the variation of the
internal energy \( U \) with density \( \rho \) of one
mole of an ideal monatomic gas for thermodynamic cycle ABCA. Here process \( A B \) is a part of rectangular
hyperbola
A. process AB is isothermal \& net work in cycle is done
on gas
B. process AB is isothermal \& net work in cycle is done by the gas
c. process AB is isobaric \& net work in cycle is done on the gas
D. process AB is adiabatic \& net work in cycle is done by
gas
Subject: Physics
A lawn roller is pulled along a horizon
surface through a distance of \( 20 \mathrm{m} \) by
with a force of \( 200 \mathrm{N} \). If the rope make
angle of \( 60^{\circ} \) with the vertical while pu
the amount of work done by the pulli
force is
\( \mathbf{A} \cdot 3464 \mathbf{J} \)
B. \( 1000 \mathrm{J} \)
D. 2000J
Subject: Chemistry
A compound consisting of two elements, \( X \) and \( Y \) has equal mass of
them. If their atomic weights are 30 and
20 respectively, the molecular formula of that compound (Mol. wt. \( =120 \) ) could
be:
B. \( X_{3} Y_{3} \)
c. \( X_{2} Y_{3} \)
D. \( X_{3} Y_{2} \)
Subject: Maths
It has been found that if \( A \) and \( B \) play a game 12 times, \( A \) wins 6 times, \( B \) wins 4
times and they draw twice. A and B take
part in a series of 3 games. The probability that they win alternately, is :
A \( \cdot \frac{5}{12} \)
в. \( \frac{5}{36} \)
c. \( \frac{19}{27} \)
D. \( \frac{5}{27} \)
Subject: Chemistry
The balanced equation in basic
medium is :
\( \boldsymbol{S}_{2} \boldsymbol{O}_{4}^{2-}+\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{O} \stackrel{O H^{-}}{\rightarrow} \boldsymbol{A} \boldsymbol{g}+\boldsymbol{S} \boldsymbol{O}_{3}^{2-} \)
A \( \cdot S_{2} O_{4}^{2-}+A g_{2} O+2 O H^{-} \rightarrow 2 A g+2 S O_{3}^{2-}+H_{2} O \)
B. \( S_{2} O_{4}^{2-}+2 A g_{2} O+2 O H^{-} \rightarrow 2 A g+S O_{3}^{2-}+H_{2} O \)
\( \mathbf{c} \cdot 2 S_{2} O_{4}^{2-}+3 A g_{2} O+2 O H^{-} \rightarrow 2 A g+2 S O_{3}^{2-}+H_{2} O \)
D. none of these
Subject: Physics
An inductor of inductance 100 m \( H \) is
connected in series with a resistance, a variable capacitance and an AC source of frequency \( 2.0 \mathrm{kHz} \); The value of the
capacitance so that maximum current
may be drawn into the circuit.
\( A \cdot 50 \mathrm{nF} \)
B. 60 nF
\( c \cdot 63 \) nf
D. 79 nf
Subject: Physics
Assertion
If a point charge \( q \) is placed in front of an infinite grounded conducting plane surface, the point charge will experience a force.
Reason
This force is due to the induced charge
on the conducting surface which is at zero potential.
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 \( \bar{a}=\hat{i}-\hat{j}+\hat{k} \) and \( \bar{b}=2 \hat{i}+\hat{j}+3 \hat{k} \)
then the vector along \( \bar{a}+\bar{b} \) is
A \( \cdot \frac{3 \hat{i}+4 \hat{k}}{5} \)
B. \( \frac{-3 \hat{i}+4 \hat{k}}{5} \)
c. \( \frac{-3 \hat{i}-4 \hat{k}}{5} \)
D. none
Subject: Maths
\( f(x) \) is defined as under: \( f(x)= \) \( \left\{\begin{array}{cc}a x(x-1)+b, & x<1 \\ x-1, & 1 \leq x \leq 3 \\ c x^{2}+d x+2, & x>3\end{array}\right. \)
\( f^{\prime}(x) \) is discontinuous at \( x=3 . \) Then \( \boldsymbol{a} \neq \boldsymbol{k}, \boldsymbol{b}=\boldsymbol{m}, \boldsymbol{c}=\frac{\mathbf{1}}{\boldsymbol{h}}, \boldsymbol{d}=-\boldsymbol{p} . \) Find \( \boldsymbol{k}+ \)
\( \boldsymbol{m}+\boldsymbol{h}+\boldsymbol{p} ? \)
Subject: Maths
A line segment DE is drawn parallel to base BC of \( \Delta A B C \) which cuts AB at
point \( \mathrm{D} \) and \( \mathrm{AC} \) at point \( \mathrm{E} \). If \( \mathrm{AB}=5 \mathrm{BD} \) and \( \mathrm{EC}=3.2 \mathrm{cm} . \) Find the length of AE.
A . \( 12.8 \mathrm{cm} \)
в. \( 1.28 \mathrm{cm} \)
c. \( 2.8 \mathrm{cm} \)
D. 12.6 \( \mathrm{cm} \)
Subject: Maths
Assertion
The function \( y=f(x), \) defined
parametrically as \( \boldsymbol{y}=\boldsymbol{t}^{2}+\boldsymbol{t}|\boldsymbol{t}|, \boldsymbol{x}= \)
\( \mathbf{2} t-|\boldsymbol{t}|, \boldsymbol{t} \in \boldsymbol{R}, \) is continuous for all rea
\( \boldsymbol{x} \)
Reason
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}2 \boldsymbol{x}^{2}, & \boldsymbol{x} \geq \mathbf{0} \\ \mathbf{0}, & \boldsymbol{x}<\mathbf{0}\end{array}\right. \)
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
The moment of inertia of an uniform
solid cylinder about it's geometrical
axis is 8 units. The moment of inertia
about the axis tangential to one of plane circular faces, i.e., about diameter of the circular base is (length of
cylinder is 3 times it's radius)
A. 52 units
B. 26 units
c. 104 units
D. 49 units
Subject: Chemistry
Assertion
The downward displacement of air method used for drying and collecting
ammonia gas.
Reason
Ammonia gas is lighter than air and
hence collected by the downward displacement of air. Ammonia is not
collected over water since it is highly
soluble in water.(1 vol.of water dissolves
about 702 vol.at \( 20 C \) and 1 atm
pressure). The drying agent used is
calcium oxide.
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
Chemical A is used for softening of water to remove temporary hardness. reacts with sodium carbonate to
produce caustic soda, when \( C O_{2} \) is
bubbled through 'A', it turns cloudy. Chemically 'A' is:
A. \( C a O \)
в. \( C a C O_{3} \)
c. \( \operatorname{Ca}\left(H C O_{3}\right)_{2} \)
D. \( C a(O H)_{2} \)
Subject: Chemistry
Which element is a transition metal?
A. melting point in \( ^{\circ} C-98 ; \) density in \( g / c m^{3}-1.0 ; \) colour of oxide - white
B. melting point in \( ^{\circ} C-328 ; \) density in \( g / c m^{3}-11.3 ; \) colour of oxide - yellow
C. melting point in \( ^{\circ} C-651 \); density in \( g / c m^{3}-1.7 ; \) colour of oxide - white
D. melting point in \( ^{\circ} C \) - 1240; density in \( g / \mathrm{cm}^{3}-7.4 \) colour of oxide - black
Subject: Maths
\( \mathbf{1}^{3}+\mathbf{1}^{2}+\mathbf{1}+\mathbf{2}^{3}+\mathbf{2}^{2}+\mathbf{2}+\mathbf{3}^{3}+\mathbf{3}^{2}+ \)
\( \mathbf{3}+\ldots+\mathbf{3 n} \) terms \( = \)

\( \mathbf{A} \cdot \frac{n(n+1)\left(n^{2}+12 n+5\right)}{12} \)
\( \mathbf{B} \cdot \frac{n(n+1)\left(3 n^{2}+7 n+8\right)}{12} \)
\( \mathbf{c} \cdot \frac{n(n+1)(n+2)\left(n^{2}+5 n+6\right)}{12} \)
\( \mathbf{D} \cdot \frac{(\mathbf{n}+1)(\mathbf{n}+2)(\mathbf{n}+3)}{4} \)
Subject: Chemistry
What is the value for \( \Delta H \) for the
reaction \( N_{2} O_{4} \rightarrow 2 N O_{2} ? 2 N O_{2} \rightarrow \)
\( N_{2}+2 O_{2} \quad \Delta H=-16.2 k c a l \)
\( N_{2}+2 O_{2} \rightarrow N_{2} O_{4} \quad \Delta H= \)
\( +2.31 k c a l \)
A . +13.89 kcal
B . +18.51 kcal
c. +37.42 kcal
D. -13.89 kcal
E . -18.51 kcal
Subject: Physics
In the system shown in figure \( \boldsymbol{m}_{\boldsymbol{A}}= \)
\( 4 m, m_{B}=3 m \) and \( m_{C}=8 m . \) Friction
is absent everywhere. String is light and in-extensible. If the system is released
from rest find the acceleration of block
\( B \)
A . \( \frac{g}{\text { (leftward) }} \)
B. \( \frac{g}{2} \) (leftward)
C \( \cdot \frac{g}{6} \) (rightward)
D. \( \frac{g}{4} \) (rightward)
Subject: Maths
If \( L, M \) are the feet of the
perpendiculars from (2,4,5) to the \( x y \)
plane, \( \boldsymbol{y} \boldsymbol{z} \) -plane respectively, then the distance \( L M \) is:
A \( \cdot \sqrt{41} \)
B. \( \sqrt{20} \)
c. \( \sqrt{29} \)
D. \( 3 \sqrt{5} \)
Subject: Physics
The diagram shows a uniformly charged
hemisphere of radius \( R \). It has volume
charge density \( \rho . \) If the electric field at a
point \( 2 R \) distance above its center is \( E \)
then what is the electric field at the
point which is \( 2 R \) below its center?
A \( \cdot \rho R / 6 \epsilon_{0}+E \)
В . \( \rho R / 12 \epsilon_{0}-E \)
c. \( -\rho R / 6 \epsilon_{0}+E \)
D. \( \rho R / 24 \epsilon_{0}+E \)
Subject: Biology
Erythroblastosis foetalis is caused when fertilisation takes place between gametes of
A \( \cdot R h^{-} \) female and \( R h^{+} \) male
B. \( R h^{+} \) female and \( R h^{-} \) male.
c. \( R h^{+} \) female and \( R h^{+} \) male
D. \( R h^{-} \) female and \( R h^{-} \) male
Subject: Physics
What is the magnitude of a point charge due to which the electric field
\( 30 c m \) away has the magnitude
2 Newton/coulomb? \( [1 / 4 \pi \varepsilon 0=9 \times \)
\( \left.\mathbf{1 0}^{\mathbf{9}} \mathbf{N m}^{\mathbf{2}}\right] \)
A \( \cdot 2 \times 10^{-1} c \) coulomb
B. \( 3 \times 10^{11} \) coulomb
c. \( 5 \times 10^{11} \) coulomb
D. \( 9 \times 10^{11} \) coulomb
Subject: Chemistry
Least active electrophile is
A. \( C H_{3}-_{\|}^{C}-O C H_{3} \)
B. \( _{\text {I }}^{o} \)
\[
C H_{3}-C-C l
\]
c. \( C H_{3}-\underset{d}{\|}_{O}-N M e_{2} \)
D.
\[
C H_{3}-C-S C H_{3}
\]
Subject: Chemistry
Give the decreasing order of reactivity of the following alkyl halides in the Williamson' s reaction.
i. \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C}-\boldsymbol{C H}_{2} \boldsymbol{B r} \)
ii. \( \boldsymbol{C l C H}_{2} \boldsymbol{C H}=\boldsymbol{C H}_{2} \)
iii. \( \boldsymbol{C l C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \)
¡v. \( B r C H_{2} C H_{2} C H_{3} \)
\( A \). ii \( > \) iv \( > \) iii \( >i \)
B. i>iii>iv>ii
c. ii > ii >iv > i
D. i > iv > iii > i
Subject: Chemistry
Assertion
The voltage of mercury cell remains
constant for longer period of time.
Reason
It is because net cell reaction does not
involve ions.
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
\( 28 g m \) of \( N_{2} \) gas is contained in a flask at
a pressure of 10 atm and at a temperature of \( 57^{0} \) C. It is found that due to leakage in
the flask, the pressure is reduced to half
and the temperature reduced to \( 27^{\circ} \mathrm{C} \). The
quantity of \( \mathrm{N}_{2} \) gas that leaked out is
\( \mathbf{A} \cdot \frac{5}{63} g m \)
В \( \cdot \frac{63}{5} g m \)
\( \mathbf{c} \cdot \frac{11}{20} g m \)
D. \( \frac{20}{11} g m \)
Subject: Chemistry
On treatment with cold water, an
element (A) reacts readily liberating a colorless, odorless gas \( (\mathrm{B}) \) and \( \mathrm{a} \) solution (C). Lithium is reacted with (B)
yielding a solid product (D) which effervescence with water to give a
strongly basic solution (E). When \( C O_{2} \) gas is bubbled through the solution \( (\mathrm{C}) \) a white ppt (F) is formed but this redissolved forming solution (G) when
more \( C O_{2} \) is passed. The precipitate (F) effervesced when moistened with conc.
\( H C l \) and give deep red coloration to the
Bunsen burner flame.(F) on heating
with an excess of carbon at \( 2000^{\circ} \mathrm{C} \)
give (H). Metal (A) may be:
\( A \cdot B e \)
B. \( c a \)
\( c \cdot s r \)
D. Ba
Subject: Physics
The self inductance of the motor of an
electric fan is \( 10 \mathrm{H} \). In order to impart
maximum powr of \( 50 \mathrm{Hz} \), it should be
connected to a capacitance of
\( A \cdot 8 \mu F \)
в. \( 4 \mu F \)
\( c \cdot 2 \mu F \)
D. \( 1 \mu F \)
Subject: Chemistry
lonic species are stabilised by the dispersal of charge Which of the following carboxylate ion is the most stable :
\( \mathbf{A} . \)
\( C H_{3}-C-O^{\circ} \)
в.
\[
C l-C H_{2}-C-O
\]
\( c \)
\( F-C H_{2}-C-O^{\circ} \)
D. \( F>C H-C-O^{6} \)
\( F> \)
Subject: Physics
The volume change of a solid copper
cube \( 10 c m \) on an edge, when subjected
to a pressure of \( 7 M P a \) is then (Bulk modulus of copper \( =140 G P a) \)
A \( .5 \times 10^{-2} \mathrm{cm}^{3} \)
В. \( 10 \times 10^{-2} \mathrm{cm}^{3} \)
\( \mathbf{c} \cdot 15 \times 10^{-2} c m^{3} \)
D. \( 20 \times 10^{-2} \mathrm{cm}^{3} \)
Subject: Biology
Consider the following statements-
(a) Alluvial soil are formed by sediments deposited by rivers.
(b) Black soil is found in the dry and Semi-dry areas of Rajasthan and
Gujarat.
(c) Red soil cannnot retain much
moisture.
(d) Laterite soil is found over lava
deposits in the Deccan.

Which of the above statements are
correct?
B. (a) and (c)
c. (b) and (d)
D. None of them
Subject: Chemistry
Assertion
Statement-1: \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{S i}-\boldsymbol{O H} \) is more
acidic than \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C}-\boldsymbol{O H} \)
Reason
Statement-2: \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{S i}-\boldsymbol{O H} \) has
back bonding.
A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-
B. Statement-1 is true, statement-2 is true and statement-2 is not the correct explanation for statement-1.
c. Statement- 1 is true, statement- 2 is false
D. Statement-1 is false, statement-2 is true.
Subject: Maths
Let \( \boldsymbol{A}=\{\boldsymbol{u}, \boldsymbol{v}, \boldsymbol{w}, \boldsymbol{z}\} ; \boldsymbol{B}=\{\mathbf{3}, \mathbf{5}\}, \) then
the number of relations from \( A \) to \( B \) is
A . 256
B. 1024
c. 512
D. 64
Subject: Physics
A loop shown in the figure is immersed
in the varying magnetic field \( B=B_{0} t \)
directed into the page. If the total
resistance of the loop is \( R \), then the
direction and magnitude of induced current in the inner circle is :
\( ^{\mathrm{A}} \cdot_{\mathrm{clockwise}} \frac{B_{0}\left(\pi a^{2}-b^{2}\right)}{R} \)
B. anticlockwise \( \frac{B_{0}\left(\pi a^{2}+b^{2}\right)}{R} \)
c. \( _{\text {clockwise }} \frac{B_{0}\left(\pi a^{2}+4 b^{2}\right)}{R} \)
" clockwise \( \frac{B_{0}\left(4 b^{2}-\pi a^{2}\right)}{R} \)
Subject: Physics
Air column of \( 20 \mathrm{cm} \) length in a resonance tube resonates with a
certain tuning fork when sounded at its upper open end. The lower end of the tube is closed and adjustable by
changing the quantity of mercury filled inside the tube. The temperature of the
air is \( 27^{\circ} \mathrm{C} \). The change in length of the
air column required, if the temperature
falls to \( 7^{\circ} \mathrm{C} \) and the same tuning fork is again sounded at the upper open end is
\( \mathbf{A} \cdot 1 \mathrm{mm} \)
B. 7 mm
\( c \cdot 5 m m \)
D. \( 13 \mathrm{mm} \)
Subject: Physics
Interference fringes are produced by a double-slit experiment and a piece of
plane parallel glass refractive index 1.5 is interposed in one of the interfering beams. If the fringes are displaced
through 30 fringe widths for light of wavelength \( 6 \times 10^{-5} \mathrm{cm}, \) if the
thickness of the plate is \( 3.6 \times 10^{-X} \mathrm{cm} \)
Find \( X ? \)
Subject: Chemistry
Radius of nucleus may be given as \( \boldsymbol{R}_{N}=\boldsymbol{R}_{0} \cdot \boldsymbol{A}^{1 / 3}, \) where \( \boldsymbol{A}= \)
massnumber and \( R_{0}= \) Constant
Calculate the density of nucleus of an
atom if \( \boldsymbol{R}_{0}=\mathbf{1 . 2} \times \mathbf{1 0}^{-\mathbf{1 5}} \)
\( \left[N_{A}=6 \operatorname{times} 10^{23} \times 8 \pi \times(1.2)^{3}=\right. \)
\( \mathbf{1 0 0 0} \)
Subject: Maths
Let \( a \) be a fixed nonzero complex
number with \( |\boldsymbol{a}|<\mathbf{1} \) and \( \boldsymbol{w}= \)
\( \left(\frac{z-a}{1-\bar{a} z}\right), \) where \( z \) is a complex number. Then,
A. there exists a complex number z with \( |z|<1 \) such that \( |w|>1 \)
B. \( |w|>1 \) for all z such that \( |z|<1 \)
C \( .|w|<1 \) for all \( z \) such that \( |z|<1 \)
D. there exists z such that \( |z|<1 \) and \( |w|=1 \)
Subject: Biology
Which of the following statements are false?
(i) Outer cortex and inner medulla are the two zones in kidney.
(ii) Medulla is divided into few renal pyramids.
(iii) Pyramid projects into calyx.
(iv) Inward extension of cortex between
the pyramids is called renal column of Bertini.
A. (i) and (iv)
B. (ii) and (iv)
c. (ii) and (iii)
D. None of these
Subject: Chemistry
The main reason for larger number of
oxidation states exhibited by the
actinoids than the corresponding
lanthanoids, is:
A. the lesser energy difference between \( 5 f \) and \( 6 d \) orbitals than between \( 4 f \) and \( 5 d \) orbitals
B. more energy difference between 5 fand 6 d orbitals than between \( 4 f \) and \( 5 d \) orbitals
C . greater reactive nature of the actinoids than the lanthanoids
D. larger atomic size of actinoids than the lanthanoids
Subject: Biology
Assertion
Ascomycetes fungi produce asexual spore which are called ascospore.
Reason
Ascospores are produced endogenously in sac like asci.
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 and Reason are correct
Subject: Maths
If \( P \) is a \( 3 \times 3 \) matrix such that \( P^{T}= \)
\( 2 P+I \) where \( P^{T} \) is the transpose of \( P \)
and lis the \( 3 \times 3 \) identify matrix, then there exists a column matrix \( \boldsymbol{X}= \) \( \left[\begin{array}{l}x \\ y \\ z\end{array}\right] \neq\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right] \) such that
\( ^{\mathbf{A}} \cdot \operatorname{IX}=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right] \)
B. PX = X
\( c \cdot \) Рх \( =2 x \)
D. PX = - x
Subject: Chemistry
In the above reaction the attack of a
nucleophile would be from which side:
\( \mathbf{3} \)
\( \boldsymbol{C} \boldsymbol{H}_{3}-\underset{\boldsymbol{C}}{\boldsymbol{C}} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C l} \stackrel{\boldsymbol{a q} \cdot \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}}{\longrightarrow} \boldsymbol{C} \boldsymbol{H}_{3}- \)
\( \boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{O} \boldsymbol{H} \)
\( \boldsymbol{C} \boldsymbol{H}_{3} \)
A. on the front side of \( C l \) and \( C_{1} \) carbon
B. on \( C_{2} \)
C. on the rear side of Cl and \( C_{1} \) carbon
D. on \( C_{3} \) carbon
Subject: Chemistry
A solution of \( K M n O_{4} \) is reduced to
various products depending upon its pH. At pH \( <7 \) it is reduced to a colourless solution \( (A), \) at \( p H=7 \) it forms a brown precipitate (B) and at pH > 7 it gives a green solution (C)
\( (A),(B) \) and \( (C) \) are :
A \( \cdot(A)-M n^{2+},(B)-M n O_{2}(C)-M n O_{4}^{2-} \)
B . \( (A)-M n O_{2},(B)-M n^{2+},(C)-M n O_{4}^{2} \)
c. \( (A)-M n^{2+},(B)-M n O_{4}^{2-},(C)-M n O_{2} \)
D. \( (A)-M n O_{4}^{2-},(B)-M n^{2+},(C)-M n O_{2} \)
Subject: Chemistry
The ratio of coefficient of
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}, \boldsymbol{F} \boldsymbol{e}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \) and \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{N} \boldsymbol{O}_{3} \) in
the following redox equation, \( \boldsymbol{F e}+ \)
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \rightarrow \boldsymbol{F} \boldsymbol{e}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2}+\boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{N} \boldsymbol{O}_{3}+ \)
\( H_{2} O \) in the balanced form will be?
A .10: 1: 4
B . 10: 4: 1
c. 4: 10: 1
D. 4: 1: 10
Subject: Physics
A hole is drilled in a copper sheet. The
diameter of the hole is \( 4.24 \mathrm{cm} \) at
\( 27.0^{\circ} \mathrm{C} . \) what is the change in the
diameter of the hole when the sheet is
heated to \( 227^{\circ} \mathrm{C} \) ?
\( \alpha \) for copper \( =1.70 \times 10^{-5} K^{-1} \)
A \( \cdot 1.44 \times 10^{-2} \mathrm{cm} \)
B . \( 14.4 \times 10^{-2} \mathrm{cm} \)
\( \mathrm{c} \cdot 144 \times 10^{-2} \mathrm{cm} \)
D. \( 0.144 \times 10^{-2} \mathrm{cm} \)
Subject: Maths
\( \int \frac{\boldsymbol{x}^{2}}{\boldsymbol{x}^{6}+\boldsymbol{2} \boldsymbol{x}^{3}-\boldsymbol{3}} \boldsymbol{d} \boldsymbol{x}= \)
A. \( \frac{1}{12} \log \left|\frac{x^{3}-1}{x^{3}+1}\right|+c \)
в. \( \frac{1}{12} \log \left|\frac{x^{3}-1}{x^{3}+3}\right|+c \)
c. \( \frac{1}{12} \log \left|\frac{x^{3}+3}{x^{3}-1}\right|+c \)
D. \( \frac{1}{12} \log \left|\frac{x^{3}-3}{x^{3}+1}\right|+c \)
Subject: Maths
The equation of the line which is equidistant from the lines \( y=-\frac{13}{2} \) and \( y=\frac{17}{2} \) is :
\( \mathbf{A} \cdot y=2 \)
B. \( y=\frac{1}{2} \)
c. \( y=-1 \)
D. \( y=1 \)
Subject: Physics
In a region of uniform electric field of
intensity \( \boldsymbol{E}, \) an electron of mass \( \boldsymbol{m}_{e} \) is relased from rest. The distance travelled
by the electron in a time \( t \) is:
\( ^{\mathbf{A}} \cdot \frac{2 m_{e} t^{2}}{e} \)
B. \( \frac{e E t^{2}}{2 m_{e}} \)
\( ^{\mathbf{c}} \cdot \frac{m_{e} g t^{2}}{e E} \)
D. \( \frac{2 E t^{2}}{e m_{c}} \)