AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If the resistance of a conductor is \( 5 \Omega \) at
\( 50^{\circ} \mathrm{C} \& 7 \Omega \) at \( 100^{\circ} \mathrm{C}, \) then mean
temperature coefficient of resistance (of material) is
A \( \cdot 0.013 /^{\circ} \mathrm{C} \)
B. 0.004/ \( ^{\circ} \mathrm{C} \)
c. \( 0.006 /^{\circ} \mathrm{C} \)
D. \( 0.008 /^{\circ} \mathrm{C} \)
Subject: Physics
For an object projected from the ground with speed \( u \). The horizontal range is two times the maximum height attained by it. The horizontal range of the object is:
\( ^{\mathbf{A}} \cdot \frac{2 \mu^{2}}{3 g} \)
B. \( \frac{3 \mu^{2}}{4 g} \)
c. \( \frac{3 \mu^{2}}{2 g} \)
D. \( \frac{4 \mu^{2}}{5 g} \)
Subject: Chemistry
Benzene and toluene form ideal solution
occur the entire range of composition
The vapour pressure of pure benzene and toluene at \( 300 K \) are \( 50: 71 \mathrm{mm} \)
\( H g \) and \( 32.06 \mathrm{mm} H g \) respectively
calculate the mole fraction of benzene
is vapour phase if \( 80 g \) of benzene is mixed \( [100 \mathrm{g} \text { of toluene }] \)
Subject: Chemistry
\( 10.6 \mathrm{g} \) of a substance of molecular weight 106 was dissolved in 100 ml. 10
\( \mathrm{ml} \) of this solution was pipetted out into
a \( 1000 \mathrm{ml} \) flask and made up to the mark with distilled water. The molarity
of the resulting solution is:
\( \mathbf{A} \cdot 1 M \)
в. \( 10^{-2} M \)
\( \mathrm{c} \cdot 10^{-3} M \)
D. \( 10^{-4} M \)
Subject: Physics
Assertion: Gasses obey Boyle's law at
high temperature and low pressure only. Reason: At low pressure and high temperature, gasses would behave like
ideal gases.
A. Both assertion (A) and reason
(R) are correct and gives the correct explanation
B. Both assertion (A) and reason
(R) are correct but \( R \) does give the correct explanation
c. \( A \) is true but \( R \) is false
D. A is false but R is true
Subject: Chemistry
A solution of 10 g of a nonvolatile binary electrolyte (mat. wt. \( =100 \) ) in 500 g of
water freezes at \( -0.74^{\circ} \mathrm{C} \). What is the
degree of ionisation? \( \left[k_{f} \text { of water }=1.85 K \text { molality }^{-1}\right] \)
A . 50\%
B. 75\%
c. \( 100 \% \)
D. 0\%
Subject: Maths
The table below gives the distribution of villages under different heights from sea level in a certain region. Compute the mean height of the region:
Height in \( \begin{array}{lll}\text { 200 } & \text { 600 } & \text { 1000 }\end{array} \) meters:

No. of \( \quad 142 \quad \) 265 \( \quad 560 \) village:
Subject: Maths
If two events \( A \) and \( B \) are such that
\( P(\bar{A})=\frac{3}{10}, P(B)=\frac{2}{5} \) and \( P(A \cap \)
\( \bar{B})=\frac{1}{2}, \operatorname{then} P\left(\frac{B}{A \cup \bar{B}}\right) \) is
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
Cr atom is ........... hybridized.
\( \mathbf{A} \cdot s p^{3} d^{2} \) in both complexes
B. \( d^{2} s p^{3} \) in both complexes
\( \mathbf{C} \cdot s p^{3} d^{2} \) in \( A \) and \( d^{2} s p^{3} \) in \( B \)
D. \( d^{2} s p^{3} \) in \( A \) and \( s p^{3} d^{2} \) in \( B \)
Subject: Chemistry
\( 20 g m \) of a binary electrolyte (mol.wt. \( = \)
100) are dissolved in 500 g of water. The freezing point of the solution is \( -0.74^{\circ} \)
C. \( \boldsymbol{K}_{\boldsymbol{f}}=\mathbf{1 . 8 6} \) K \( \boldsymbol{m o l}^{-1} \). The degree of
ionization of the electrolyte is:
A. \( 50 \% \)
(年 5500
B. \( 75 \% \)
\( c \cdot 100 \% \)
D. \( 0 \% \)
Subject: Chemistry
What \( \left(H_{3} O^{+}\right) \) must be maintained in a
saturated \( H_{2} S \) solution to precipitate
\( P b^{2+}, \) but not \( Z n^{2+} \) from a solution in
which each ion is present at a concentration of \( 0.01 M ? \)
\( \left(K_{s p} H_{2} S=1.1 \times 10^{-22} \) and \right.
\( \boldsymbol{K}_{s p} Z \boldsymbol{n} \boldsymbol{S}=\mathbf{1 . 0} \times \mathbf{1 0}^{-\mathbf{2 1}} \mathbf{)} \)
Subject: Chemistry
Assertion
The experimentally determined \( N-F \)
bond length in \( N F_{3} \) is greater than the
sum of the single bond covalent bond
radii of \( N \) and \( F \)
Reason
\( N \) and \( F \) both have high electron
density due to smaller atomic radii.
Thus, \( l p-b p \) repulsion increases bond-
length.
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.t
Subject: Physics
toppr
Q Type your question
smaller sphere with a large amount of
negative charge.

The differences in color for the larger
sphere demonstrate that the smaller,
negatively charged sphere has influenced the larger sphere so that some electrons have moved left,
causing the left side to become
negative and the right side to become
positive, although the large sphere
remains neutral, as a whole.

Which of the following tables best
describes the electric field and electric
potential inside the large sphere, while the small, negative sphere is near it?
Large Negative Charge
A. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, zero - same everywhere
B. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing left - higher on right
C. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing right - higher on left
D. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing left - same everywhere
E. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing right - same everywhere
Subject: Physics
If in an A.C., L-C series circuit \( \boldsymbol{X}_{c}>\boldsymbol{X}_{\boldsymbol{L}} \)
Hence potential
A. Lags behind the current by \( \pi / 2 \)
B. Leads the current by \( \pi \) in phase
c. Leads the current by \( \pi / 2 \) in phase
D. Lags behind the current by \( \pi \) in phase
Subject: Maths
If
[] denotes the greatest integer less than or equal to the real number under
consideration, and \( -1 \leq x<0, \quad 0 \leq \)
\( y<1,1 \leq z<2, \) the value of the determinant \( \left|\begin{array}{ccc}{[\boldsymbol{x}]+\mathbf{1}} & {[\boldsymbol{y}]} & {[\boldsymbol{z}]} \\ {[\boldsymbol{x}]} & {[\boldsymbol{y}]+\mathbf{1}} & {[\boldsymbol{z}]} \\ {[\boldsymbol{x}]} & {[\boldsymbol{y}]} & {[\boldsymbol{z}]+\mathbf{1}}\end{array}\right| \)
is
\( A \cdot[x] \)
в. \( [y] \)
\( c \cdot[z \)
D. none of these
Subject: Chemistry
Which of the following is incorrect?
A. Hydrogen > Deuterium > Tritium; (\% relative abundance)
B. Hydrogen < Deuterium < Tritium; (density/gL \( ^{-1} \) )
C. Hydrogen < Deuterium < Tritium; (boiling point/K)
D. Hydrogen > Deuterium > Tritium; (melting point/K)
Subject: Physics
At the moment \( t=0, \) an electron leaves
one plate of a parallel-plate condenser
with a negligible velocity. An accelerating voltage varying as \( \boldsymbol{V}=\boldsymbol{a} \boldsymbol{t} \)
where \( a \) is a constant is applied between the plates. The separation
between the plates is \( l \). The velocity of
the electron at the moment it reaches
the opposite plate will be :
\( ^{\mathrm{A}}\left(\frac{2 e a l}{9 m}\right)^{\frac{1}{3}} \)
\( ^{\mathrm{B}}\left(\frac{3 e a l}{4 m}\right)^{\frac{1}{3}} \)
\( ^{\mathrm{c}}\left(\frac{4 e a l}{m}\right)^{\frac{1}{3}} \)
\( \left(\frac{9 e a l}{2 m}\right)^{\frac{1}{3}} \)
Subject: Chemistry
A closed bulb capacity 200ml
containing \( \boldsymbol{C H}_{4}, \boldsymbol{H}_{2} \) and He at \( 300 \mathrm{K} \)
The ratio of partial pressure of \( \boldsymbol{C} \boldsymbol{H}_{4}, \boldsymbol{H}_{2} \) and He, respectively is 2:3:5. Calculate
the ratio of their weights present in the container.
A. 2: 4: 6
B . 16: 8: 100
\( c \cdot 16: 3: 10 \)
D. 4:9:25
Subject: Physics
Consider an optical system placed in
water \( (\mu=4 / 3) \) PQRS is a hollow glass
slab filled with air \( (\mu=1) \) This slab is
kept on the principle axis of a lens in
such a way that surface PS makes an
angle \( \theta \) with the axis of the lens.
\( \left(0<\theta<180^{\circ}\right), \) then
This question has multiple correct options
A. for transmission of light takes place through slab \( \theta_{\min }=\frac{\pi}{2}-\sin ^{-1}(0.75) \)
B \cdot for transmission of light through slab \( \theta_{\text {max }}=\frac{\pi}{2}+\sin \)
\( -1(0.75) \)
C. for \( x=50 \mathrm{cm} \) final image is at \( 3 \mathrm{m} \) distance from 0
D. for \( x=100 \mathrm{cm} \) final image is at \( 3 \mathrm{m} \) distance from 0
Subject: Maths
Let \( A \) be a symmetric matrix such that
\( \boldsymbol{A}^{5}=\mathbf{0} \) and \( \boldsymbol{B}=\boldsymbol{I}+\boldsymbol{A}+\boldsymbol{A}^{2}+\boldsymbol{A}^{3}+\boldsymbol{A}^{4} \)
then \( B \) is
This question has multiple correct options
A. symmetric
B. singular
c. non-singular
D. skew symmetric
Subject: Physics
Assertion
Increasing the current sensitivity of a galvanometer necessarily increases the voltage sensitivity.
Reason
Voltage sensitivity is inversely proportional to current sensitivity.
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 \( I=\int_{\alpha}^{\beta}\left[\log \log x+\frac{1}{(\log x)^{2}}\right] d x \)
then \( \boldsymbol{I} \)
equals
A. \( \alpha \log \log \alpha-\beta \log \log \beta \)
B. \( \frac{1}{\alpha}-\frac{1}{\beta}+\log \log \alpha-\log \log \beta \)
c. \( \frac{\beta-\alpha}{\alpha \beta}+\alpha \log \log \alpha-\beta \log \log \beta \)
D. none of these
Subject: Maths
\( \frac{1}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^{\frac{-3}{4}}}+\frac{1}{(243)^{\frac{-1}{5}}} \) is equal
to:
A. 103
в. 105
\( c .107 \)
D. 101
Subject: Maths
Solve: \( \boldsymbol{x}^{2} \boldsymbol{d} \boldsymbol{y}+\boldsymbol{y}(\boldsymbol{x}+\boldsymbol{y}) \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \)
A \( \cdot y-2 x=k x^{2} y \)
B . \( y+2 x=k x^{2} y \)
c. \( 2 y+x=k x y^{2} \)
D. \( 2 y-x=k x y^{2} \)
Subject: Biology
Choose the correct answer among the alternatives given :
Reproductive health in society can be improved by;
(I) Introduction of sex education in
schools
(II) Increased medical assistance
(III) Awareness about contraception and
STDS
(IV) Equal opportunities to male and female child
(V) Encouraging myths and misconceptions
\( A \cdot(i),(\text { ii) },(i i i),(i v),(v) \)
B. (i), (ii), (iv), (v)
c. (i), (ii), (iii), (iv)
D. (ii), (v)
Subject: Chemistry
Calculate the ratio of pH of a solution
containing 1 mol. of \( C H_{3} C O O N a+ \)
1 mol of HCl per litre and of
other solution containing 1 mol of
\( \boldsymbol{C H}_{3} \boldsymbol{C O O N a +} \mathbf{1 m o l} \) of \( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
per litre.
Subject: Physics
Three charger \( q . Q \) and \( 4 q \) are placed in
a straight, line of length \( L \) at points
distant \( 0, L / 2 \) and \( L \) respectively from one end in other to make the net force
on \( q \) zero the charge \( Q \) must be eqyal to:
A. \( -q \)
в. \( 2 q \)
c. \( -\frac{q}{2} \)
D. \( q \)
Subject: Physics
A photon of energy 2.5 eV and
wavelength \( ^{\prime} \lambda^{\prime} \) falls on a metal surface
and the ejected electrons have
maximum velocity ' \( v^{\prime} . \) If the \( ^{\prime} \lambda^{\prime} \) of the
incident light is decreased by \( 20 \% \), the maximum velocity of the emitted electrons is doubled. The work function
of the metal is :
A . 2.6 ev
B. 2.23 ev
c. 2.5 ev
D. 2.29 ev
Subject: Maths
Maximum area of rectangle whose two
sides are \( \boldsymbol{x}=\boldsymbol{x}_{0}, \boldsymbol{x}=\boldsymbol{\pi}-\boldsymbol{x}_{0} \) and which
is inscribed in a region bounded by \( \boldsymbol{y}= \)
\( \sin x \) and \( x- \) axis is obtained, when \( x_{0} \in \)
Subject: Physics
The rate of cooling at \( 600 K \), if surrounding temperature is \( 300 K \) is \( \mathrm{H} \) The rate of cooling at \( 900 K \) is:
A \( \cdot \frac{16}{3} H \)
в. \( 2 H \)
\( c .3 H \)
D. \( \frac{2}{3} H \)
Subject: Chemistry
In which compound synergic effect is present?
\( \mathbf{A} \cdot\left[N i(C O)_{4}\right] \)
B・ \( \left[N i C l_{4}\right]^{2-} \)
c. \( \left[C u C l_{4}\right]^{2-} \)
D. \( \left[M n\left(H_{2} O\right)_{6}\right]^{2+} \)
Subject: Maths
If \( |y|=5 x-2 y, \) then which of the
following is incorrect?
A. \( y(x) \) is discontinuous at \( x=0 \)
B. \( y(x) \) is continuous \( \forall x \in R \)
c. \( y(x) \) is strictly increasing \( \forall x \epsilon R \)
D. domain of \( y(x) \) is set of all real values
Subject: Chemistry
Suppose elements \( X \) and \( Y \) combine to
form two compounds, \( \boldsymbol{X} \boldsymbol{Y}_{2} \) and \( \boldsymbol{X}_{3} \boldsymbol{Y}_{2} \)
where 0.1 mol of former weigh 10 g while 0.05 mol of the latter weigh 9 g. What are the atomic weights of \( X \) and
\( \boldsymbol{Y} \) respectively?
A . 40,30
B. 60,40
c. 20,30
D. 30,20
Subject: Maths
If \( \tan ^{2} \) la \( \tan ^{2} \beta+\tan ^{2} \beta \cdot \tan ^{2} \gamma+ \)
\( \tan ^{2} \gamma \cdot \tan ^{2} \alpha+2 \tan ^{2} \alpha \cdot \tan ^{2} \beta \cdot \tan ^{2} \gamma= \)
1, then the value of \( \sin ^{2} \alpha+\sin ^{2} \beta+ \)
\( \sin ^{2} \gamma \) is :
A .
B. -
\( c \)
\( D \cdot \frac{1}{2} \)
Subject: Maths
In a circle if a chord \( A B \) is nearer to the
centre \( \boldsymbol{O} \) than the chord \( \boldsymbol{C} \boldsymbol{D} \) then:
\( \mathbf{A} \cdot A B>C D \)
B. \( A B=C D \)
c. \( A B<C D \)
D. none of these
Subject: Physics
In what pressure range will the
compound sublime?
A. pressures less than \( P_{b} \)
B. pressures between \( P_{b} \) and \( P_{c} \)
C. pressures between \( P_{d} \) and \( P_{c} \)
D. pressures between \( P_{b} \) and \( P_{d} \)
E. The compound will not sublime under any Pressure
Subject: Maths
Let \( 2 x+3 y+4 z=9, x, y, z>0, \) then
the maximum value of
\( (1+x)^{2}(2+y)^{3}(4+z)^{4} \) is
A \( \cdot 2^{9} \)
в. \( 4^{\text {? }} \)
\( ^{c} \cdot\left(\frac{11}{3}\right)^{9} \)
D. \( \left(\frac{11}{6}\right)^{9} \)
Subject: Physics
A man wearing a wingsuit glides through the air with a constant velocity
of \( 47 m s^{-1} \) at an angle of \( 24^{\circ} \) to the
horizontal. The path of the man is shown
n Fig
The total mass of the man and the
wingsuit is 85 kg. The man takes a time
of 2.8 minutes to glide from point \( A \) to
point \( \boldsymbol{B} \)
The pressure of the still air at \( A \) is
\( 63 k P a \) and at \( B \) is \( 92 k P a . \) Assume the
density of the air in constant between \( \boldsymbol{A} \)
and \( B \)
Determine the density of the air between \( A \) and \( B \)
density \( = \)
Subject: Physics
A solid sphere of mass \( 2 \mathrm{kg} \) is rolling on a frictionless horizontal surface with
velocity \( 6 m / s . \) It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring \( =\mathbf{3 6} N / \boldsymbol{m} \)
A \( \cdot \sqrt{14 m} \)
в. \( \sqrt{2.8} m \)
c. \( \sqrt{1.4 m} \)
D. \( \sqrt{0.7} m \)
Subject: Physics
A particle having mass 10 g oscillates according to the equation \( \boldsymbol{x}= \)
\( (2.0 \mathrm{cm}) \sin \left[\left(100 s^{-1}\right) t+\pi / 6\right] . \) Find
the amplitude, the time period and the force constant (b) the position, the
velocity and the acceleration at \( t=0 \)
Subject: Maths
\( \mathbf{f} \boldsymbol{y}=\sin ^{-1}(\mathbf{3} \boldsymbol{x})+\mathbf{s} \mathbf{e} \mathbf{c}^{-1}\left(\frac{\mathbf{1}}{\mathbf{3} \boldsymbol{x}}\right), \) find \( \frac{\boldsymbol{d} \mathbf{2}}{\boldsymbol{d}} \)
Subject: Chemistry
Match the Column-I with Column-II.
Choose the correct' one from the
alternatives \( (a),(b),(c) \) and \( (d) \)
Column Column-II
trans P. Wilkinson catalyst I. \( \operatorname{Ir} C l(C O)\left(P P h_{3}\right)_{2} \)
Q. Speier catalyst
Il. Hydrosilylation
gas shift
R. Water
III. \( R h C l\left(P P h_{3}\right)_{3} \) catalyst
ZSM-5
S. Zeolite
IV. Synthetic gasoline catalyst
V. Hydroformylation
VI. Zinc-copper oxide
P- III (b) P-I (c) P- -IV (d) P-III
\( A \cdot(a) \)
B. (a) Q-II (b) Q-V (c) Q-II (d) Q-IV
C. (a) R-VII (b) R-III (c) R-VI (d) R-IV
D. (a) S-IV (b) S-IV (c)
S-IV (d) S-II
Subject: Maths
\( \sim(p \Leftrightarrow q) \) is equivalent to
\( \mathbf{A} \cdot \sim p \wedge \sim q \)
B \( . \sim p \vee \sim q \)
\( \mathbf{C} \cdot(p \wedge \sim q) \vee(\sim p \wedge q) \)
D. none of these
Subject: Maths
If the real-valued function \( f(x)=x^{3}+ \)
\( 3\left(a^{2}-1\right) x+1 \) be invertible then the
set of possible real values of a is
A \( \cdot(-\infty,-1) \cup(1+\infty) \)
в. (-1,1)
c. [-1,1]
D \( \cdot(-\infty,-1] \cup[1,+\infty) \)
Subject: Chemistry
The electronic structure of four
elements a, b, c, d respectively are:
(a) \( 1 s^{2} \)
(b) \( 1 s^{2} 2 s^{2} 2 p^{2} \)
\( (c) 1 s^{2} 2 s^{2} 2 p^{5} \)
(d) \( 1 s^{2} 2 s^{2} 2 p^{6} \)
The tendency to form electrovalent bond will be largest in :
\( A \cdot A \)
B. B
\( c \cdot c \)
D.
Subject: Chemistry
For a given value of degree of dissociation,which of the following have correct Van't Hoff factor?
This question has multiple correct options
A. \( N a C l, i=2+\alpha \)
в. \( C a\left(N O_{3}\right)_{2}, i=1+2 \alpha \)
C . \( K_{4}\left[F e_{3}(C N)_{6}\right], i=1+4 \alpha \)
D. \( \left(N H_{3}\right)_{3} P O_{4}, i=3+\alpha \)
Subject: Maths
In a triangle \( \triangle A B C, \) points \( P, Q \) and \( R \) are the mid-points of the sides \( A B, B C \) and CA respectively. If the area of the triangle \( A B C \) is 20 sq.units, then area of the triangle PQR equal to:
A . 10 sq. units
B. \( 5 \sqrt{3} \) sq. units
c. 5 sq. units
D. 5.5 sq. units
Subject: Chemistry
In a cell, the following reaction takes
place: \( \boldsymbol{F} \boldsymbol{e}+\boldsymbol{C u} \boldsymbol{S O}_{4} \rightarrow \boldsymbol{F} \boldsymbol{e} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{C u} \)
The cell can be represented as:
A \( \cdot C u\left|C u S O_{4} \| F e\right| F e S O_{4} \)
B . \( P t\left|C u S O_{4} \| F e S O_{4}\right| P t \)
c. \( F e\left|F e S O_{4} \| C u S O_{4}\right| C u \)
D. \( C u S O_{4}\left|C u \| F e S O_{4}\right| F e \)
Subject: Chemistry
According to the reaction above, what mass of oxygen gas is required to produce \( 88 g \) of carbon dioxide? \( \boldsymbol{C}+\boldsymbol{O}_{2}=\boldsymbol{C} \mathbf{0}_{2} \)
A . \( 12 g \)
в. \( 16 g \)
c. \( 24 g \)
D. \( 64 g \)
Subject: Maths
The tangent to the curve \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}- \)
\( \sin \theta) ; y=a(1+\cos \theta) \) at the points
\( \boldsymbol{\theta}=(\mathbf{2 k + 1}) \boldsymbol{\pi}, \boldsymbol{k} \in \boldsymbol{Z} \) are parallel to
\( \mathbf{A} \cdot y=x \)
в. \( y=-x \)
\( \mathbf{c} \cdot y=0 \)
D. \( x=0 \)
Subject: Physics
If \( \epsilon_{0} \) and \( \mu_{0} \) represent the permittivity and permeability of vaccum and \( \epsilon \) and \( \mu \) represent the permittivity and permeability of medium, then refractive index of the medium is given by
A. \( \sqrt{\frac{\epsilon_{0} \mu_{0}}{\epsilon \mu}} \)
в. \( \sqrt{\frac{\epsilon \mu}{\epsilon_{0} \mu_{0}}} \)
c. \( \sqrt{\frac{\epsilon_{0} \mu_{0}}{\epsilon}} \)
D. \( \sqrt{\frac{\epsilon_{0} \mu_{0}}{\mu}} \)
Subject: Maths
The function \( \boldsymbol{y}=\boldsymbol{a} \log |\boldsymbol{x}|+\boldsymbol{b x}^{2}+\boldsymbol{x} \)
has its extremum values at \( x=-1 \) and
\( x=2 \) then
A \( a=2, b=-1 \)
- \( 1, a=2, b=2=2 \)
В. \( a=2, b=-1 / 2 \)
c. \( a=-2, b=1 / 2 \)
D. None of these
Subject: Physics
A particle executes a simple harmonic motion of time period \( T . \) Find the time taken by the particle to go directly from its mean position to half the amplitude.
A \( \cdot \frac{T}{2} \)
в. \( \frac{T}{4} \)
c. \( \frac{T}{8} \)
D. \( \frac{T}{12} \)
Subject: Physics
An object is thrown horizontally from a
point ' \( \boldsymbol{A}^{\prime} \) from a tower and hits the
ground \( 3 s \) later at \( B \). The line from ' \( A \) ' to
\( B^{\prime} \) makes an angle of \( 30^{\circ} \) with the
horizontal. The intial velocity of the
object is :
(take \( \left.\mathfrak{g}=10 m / s^{2}\right) \)
A. \( 15 \sqrt{3} \mathrm{m} / \mathrm{s} \)
B. \( 15 \mathrm{m} / \mathrm{s} \)
c. \( 10 \sqrt{3} \mathrm{m} / \mathrm{s} \)
D. \( \frac{25}{\sqrt{3}} m / s \)
Subject: Chemistry
Among the following molecules:
(i) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{3} \)
(ii) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O} \boldsymbol{F}_{4}(\text { iii }) \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{6} \)
those having same number of lone pairs on Xe are:
A. (i) and (ii) only.
B. (i) and (iii) only.
c. (ii) and (iii) only.
D. (i), (ii) and (iii)
Subject: Chemistry
Ammonia reacts with excess of chlorine
to form :
A \( . N_{2}+N H_{4} C l \)
B. \( N C l_{3} \) and \( H C l \)
c. \( N H_{4} C l \) and \( N C l_{3} \)
D. \( N_{2} \) and \( H C l \)
Subject: Chemistry
As compared to \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{5}, \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8} \)
A. Has two peroxy linkage
B. Liberates \( I_{2} \) from \( K I \) slowly and thus kinetics of oxidation of \( K I \) by \( S_{2} O_{8}^{2-} \) can be studied
c. Has different oxidation number
D. Reacts with \( K M n O_{4} \)
Subject: Maths
In a shooting game, John shoots the balls 20 times out of 40 trials. What is
the empirical probability of the
shooting event?
A \( \cdot \frac{3}{2} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{5}{2} \)
D. \( \frac{7}{2} \)
Subject: Physics
Imagine a new planet having the same density as that of Earth but is 3 times bigger than the Earth in size. If the
acceleration due to gravity on the surface of Earth is \( g \) and that on the surface of the new planet is \( g^{\prime} \), then:
A \( \cdot g^{\prime}=3 g \)
B. \( g^{\prime}=\frac{g}{9} \)
c. \( g^{\prime}=9 g \)
D. \( g^{\prime}=27 g \)
Subject: Physics
In the potentiometer arrangement shown in figure, null point is obtained
at length \( l \)
Table Table - 2
(a) If \( E_{1} \) is increased
(p) \( l \) should increase
(b) If \( \mathrm{R} \) is increased
(q) \( l \) should
decrease
(c) If \( E_{2} \) is increased
(r) \( l \) should
remain the same to again get the null point
A. a \( -q, b-q, c-p \)
\( c \cdot a-p, b-p, c-r \)
D. a - q, b-p, c-p
Subject: Chemistry
Write the product of this reaction:
\[
\left.\left.\left.\right|_{\mathrm{OH}} ^{\mathrm{CH}_{2}} \frac{\mathrm{CH}}{\mathrm{OH}} \frac{\mathrm{CH}-\mathrm{CH}_{2}}{\mathrm{OH}}\right|_{\mathrm{OH}} ^{\mathrm{HIO}_{4}}\right)
\]
Subject: Chemistry
The standard enthalpy of formation of \( F e O \) and \( F E_{2} O_{3} \) is \( -65 k c a l m o l^{-1} \)
and \( -197 k c a l m o l^{-1} \) respectively
mixture of two oxides contains \( F e O \)
and \( F e_{2} O_{3} \) in the mole ratio \( 2: 1 . \) If by
oxidation, it is changed into a 1: 2 mole ratio mixture, how much of thermal
energy will be released per mole of the initial mixture?
A. 13.4 kcal/mole
в. 14.6 kcal/mole
c. \( 15.7 \mathrm{kcal} / \mathrm{mole} \)
D. 16.8 kcal/mole
Subject: Physics
Determine de-Broglie wavelength of an
electron having kinetic energy of \( 1.6 \times \) \( 10^{-6} \) erg.
A \( .12 .42 A^{\circ} \)
B. \( 12.42 \mathrm{cm} \)
c. \( 12.42 m \)
D. none of these
Subject: Chemistry
Which among the following reaction is
an example of a zero order reaction?
B \( \cdot 2 N H_{3(g)} \stackrel{P t}{\rightarrow} N_{2(g)}+3 H_{2} \)
\( \mathrm{c} \cdot 2 \mathrm{H}_{2} \mathrm{O}_{2(l)} \rightarrow 2 \mathrm{H}_{2} \mathrm{O}_{(l)}+O_{2(g)} \)
D. \( H_{2(g)}+I_{2(g)} \rightarrow 2 H I_{(g)} \)
Subject: Chemistry
Which of the following is the general electronic configuration in the valence
shell of elements of a group \( -16 ? \)
A \( \cdot n s^{2} n p^{3} \)
В. \( n s^{2} n p^{4} \)
c. \( n s^{2} n p^{6} \)
D. \( n s^{2} n p^{5} \)
Subject: Chemistry
Which of the following compounds will
react with two moles of \( \boldsymbol{C H}_{3} \boldsymbol{M} \boldsymbol{g} \boldsymbol{B r} \) ?
A \( \cdot C_{2} H_{5} \) COOH
в. \( C H_{3} \) СООН
\( \mathbf{c} \cdot C H_{3} C \equiv C C H_{3} \)
D. \( H C \equiv C-C H_{2} O H \)