AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A closed coil consists of 500 turns on a
rectangular frame of area \( 4.0 \mathrm{cm}^{2} \) and has a resistance of 50 ohms. The coil is
kept with its plane perpendicular to a uniform magnetic field of \( 0.2 \mathrm{wb} / \mathrm{m}^{2} \) the amount of charge flowing through the coil if it is turned over. (rotated
through \( 180^{0} \) ):
A \( \cdot 1.6 \times 10^{-3} \mathrm{c} \)
B. \( 16 \times 10^{-3} \mathrm{C} \)
c. \( 0.16 \times 10^{-3} \mathrm{c} \)
D. \( 160 \times 10^{-3} \mathrm{c} \)
Subject: Physics
What is the value of friction force f for
the following value of applied force \( \mathrm{F} \) ?
a. \( 1 \mathrm{N} \) b. \( 2 \mathrm{N} \) c. \( 3 \mathrm{N} \) d. \( 4 \mathrm{N} \) e. \( 20 \mathrm{N} \)
Assume the coefficient of friction to be
\[
\boldsymbol{\mu}_{s}=\mathbf{0 . 3}: \boldsymbol{\mu}_{\boldsymbol{k}}=\mathbf{0 . 2 5}
\]
Mass of the body is \( \mathrm{M}=1 \mathrm{kg} \). (Assume
\[
\begin{array}{l}
\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \mathbf{)} \\
\qquad \begin{array}{l}
\sqrt{w}+r \\
\end{array}
\end{array}
\]
Subject: Physics
\( R \)
\( -\square-(A) \)
\begin{tabular}{l}
\( ^{R} \) \\
\hline\( (D \) \\
\( Q \) \\
\( \sqrt{ } \)
\end{tabular}
\begin{tabular}{l}
\( n \) \\
\hline
\end{tabular}
Subject: Maths
If the equations \( 4 x+7 y=10 \) and
\( 10 x+k y=25 \) represent coincident
lines, then the value of \( k \) is
A . 5
в. \( \frac{17}{2} \)
c. \( \frac{27}{2} \)
D. \( \frac{35}{2} \)
Subject: Maths
If \( A \) and \( B \) are invertible matrices of
order
3. \( |\boldsymbol{A}|=\mathbf{2} \) and \( \left|(\boldsymbol{A B})^{-1}\right|=-\frac{\mathbf{1}}{\mathbf{6}} \)
Find \( |\boldsymbol{B}| \)
Subject: Chemistry
For hydrogen-oxygen fuel cell at 1 atm
and \( 298 K \)
\( \boldsymbol{H}_{2(\boldsymbol{g})}+\frac{1}{2} \boldsymbol{O}_{2(\boldsymbol{g})} \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} ; \quad \boldsymbol{\Delta} \boldsymbol{G}^{o}= \)
\( -240 k J \)
\( E^{o} \) for the cell is approximately:
\( [\text { Given: } \boldsymbol{F}=\mathbf{9 6}, \mathbf{5 0 0} \boldsymbol{C}] \)
A . \( 1.24 V \)
B . \( 1.26 V \)
c. \( 2.48 V \)
D. \( 2.5 V \)
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{t}-\sin \boldsymbol{t}), \boldsymbol{y}=\boldsymbol{a}(\boldsymbol{1}-\cos \boldsymbol{t}) \)
find \( \boldsymbol{d} \boldsymbol{y} / \boldsymbol{d} \boldsymbol{x} \). at \( \boldsymbol{t}=\boldsymbol{\pi} \)
Subject: Physics
\( A \) block \( A, \) whose weight is \( 200 N, \) is
pulled up a slope of length \( 5 m \) by
means of a constant force \( \boldsymbol{F}(=\mathbf{1 5 0} \boldsymbol{N}) \)
as illustrated in the figure.The difference in work done by the force and the increase in potential energy of the block is :
A . \( 0 . \)
в. \( 150 J \)
\( c .750 J \)
D. \( 600 J \)
Subject: Maths
If \( A \) and \( B \) are events such that
\( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 6}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 3} \) and \( \boldsymbol{P}(\boldsymbol{A} \cap \)
\( \boldsymbol{B})=\mathbf{0 . 2}, \) find \( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B}) \) and \( \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) \)
Subject: Chemistry
For the reaction:
\( \mathbf{2} N \boldsymbol{O}_{2(g)} \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{(g)}+\boldsymbol{O}_{2(g)},\left(\boldsymbol{K}_{c}=\right. \)
\( \left.1.8 \times 10^{-6} \text {at } 184^{\circ} C\right)(R= \)
\( \mathbf{0 . 0 8 2} \)Latm\( /(\text {mol. } \boldsymbol{K}) \)
When \( K_{p} \) and \( K_{c} \) are compared at
\( 184^{\circ} \mathrm{C}, \) it is found that
A. Whether \( K_{p} \) is greater than, less than or equal to \( K_{c} \) depends upon the total gas pressure
в. \( K_{p}=K_{c} \)
c. \( K_{p} \) is less than \( K_{c} \)
D. \( K_{p} \) is greater than \( K_{c} \)
Subject: Chemistry
The phosphorus present in an organic compound of mass 30 g is oxidized to phosphoric acid by heating with fuming nitric acid. The phosphoric acid so
obtained is precipitated as
\( M g N H_{4} P O_{4}, \) which on ignition is
converted into \( M g_{2} P_{2} O_{7} . \) If the
percentage composition of phosphorus present in the sample of the organic compound is 50 percent, find the
approximate mass of \( M g_{2} P_{2} O_{7} \) formed
A . 17 g
B. 25 g
c. \( 10 \mathrm{g} \)
D. None of these
Subject: Maths
The roots for \( 3 x^{2}=x+4 \) are
\( ^{A} \cdot \frac{2}{3},-\frac{1}{2} \)
B. \( \frac{4}{3},-\frac{1}{2} \)
\( c \cdot \frac{4}{3},-1 \)
D. \( \frac{2}{3},-1 \)
Subject: Chemistry
The central dogma of molecular genetics states that genetic information flows from :
A. DNA \( \rightarrow \) RNA \( \rightarrow \) Proteins
B. DNA \( \rightarrow \) RNA \( \rightarrow \) Carbohydrates
c. Amino acids \( \rightarrow \) Proteins \( \rightarrow \) DNA
D. DNA \( \rightarrow \) Carbohydrates \( \rightarrow \) Proteins
Subject: Chemistry
The complex having the highest
magnetic moment is :
\( \mathbf{A} \cdot\left[\operatorname{Zn}\left(H_{2} O\right)_{6}\right]^{2} \)
B . \( \left[\operatorname{Cr}\left(\text { Ha}_{2} \text { O }\right)_{6}\right]^{2} \) '
\( \mathbf{c} \cdot\left[M n\left(H_{2} O\right)_{6}\right]^{2+} \)
D \( \cdot\left[C u\left(H_{2} O\right)_{6}\right]^{2} \)
Subject: Physics
A spherical soap bubble has a radius \( ^{\prime} \boldsymbol{r}^{\prime} \)
The surface tension of the soap film is
T.The energy needed to double the
diameter of the bubble at the same
temperature is:
A \( .24 \pi r^{2} \sigma \)
В. \( 4 \pi r^{2} \sigma \)
\( \mathbf{c} \cdot 2 \pi r^{2} T \sigma \)
D. \( 12 \pi r^{2} T \sigma \)
Subject: Physics
Statement 1: A wheel moving down frictionless inclined plane will slip and not roll on the plane. Statement 2 : It is the frictional force
which provides a torque necessary for a body to roll on a surface.
A. Statement 1 is false, Statement 2 is true
B. Statement 1 is true, Statement 2 is true; Statement 2 is correct explanation for Statement 1
c. statement 1 is true, statement 2 is true; Statement 2 is not a correct explanation for Statement
D. Statement 1 is true, Statement 2 is false
Subject: Physics
A circular coil of 100 turns has an
effective radius of \( 0.05 \mathrm{m} \) and carries a
current of 0.1 A. How much work is
required to turn it in an external magnetic field of \( 1.5 W b m^{-2} \) through
\( 180^{\circ} \) about an axis perpendicular to the magnetic field?
Subject: Maths
The probability that exactly one of the
independent events \( A \) and \( B \) occurs is
equal to
This question has multiple correct options
\( \mathbf{A} \cdot P(A)+P(B)-2 P(A \cap B) \)
B \( \cdot P(A)+P(B)-P(A \cap B) \)
C \( . P(\bar{A})+P(\bar{B})-2 P(\bar{A} \cap \bar{B}) \)
D. None of the above
Subject: Physics
Q Type your question
the dids ul divig sultilulu dis shuwn III
fig. The ring has a narrow gap of width \( d \)
in its circumference. The solenoid has
cross sectional area \( A \) and a uniform
internal field of magnitude \( B_{0} . \) Now
beginning at \( t=0, \) the solenoid current
is steadily increased so that the field
magnitude at any time \( t \) is given by
\( \boldsymbol{B}(\boldsymbol{t})=\boldsymbol{B}_{0}+\boldsymbol{\alpha} \) where \( \boldsymbol{\alpha}>0 . \) Assuming
that no change can flow across the gap,
the end of ring which has excess of positive charge and the magnitude of induced e.m.f in the ring are
respectively
A. \( X, A \alpha \)
В. \( X, \pi R^{2} \alpha \)
c. \( Y, \pi A^{2} \alpha \)
D. \( Y, \pi R^{2} \alpha \)
Subject: Physics
A force acts on a body of mass \( 3 \mathrm{kg} \) such that its velocity changes from \( 4 \mathrm{m} \)
\( s^{-1} \) to \( 10 \mathrm{m} s^{-1} . \) Calculate the change in
the momentum of the body.
A \( \cdot 2 \mathrm{kg} \mathrm{m} s^{-1} \)
B. 14 kg m s \( ^{-1} \)
c. \( 18 \mathrm{kg} \mathrm{m} s^{-1} \)
D. \( 42 \mathrm{kg} \mathrm{m} \mathrm{s}^{-1} \)
Subject: Maths
The area of a quadrant of a circle whose
circumference is \( 44 \mathrm{cm} \) is
A \( \cdot 144 \mathrm{cm}^{2} \)
В. \( 175.76 \mathrm{cm}^{2} \)
c. \( 38.5 \mathrm{cm}^{2} \)
D. \( 154 \mathrm{cm}^{2} \)
Subject: Physics
The relation between time \( t \) and
displacement \( \boldsymbol{x} \) is \( \boldsymbol{t}=\boldsymbol{\alpha} \boldsymbol{x}^{2}+\boldsymbol{\beta} \boldsymbol{x} \) where
\( \alpha \) and \( \beta \) are constants then acceleration
of particle is proportional to-
\( \mathbf{A} \cdot v^{3} \)
B \( \cdot v^{2} \)
c. \( v^{3 / 2} \)
D. \( v^{2 / 3} \)
Subject: Maths
The collection of tickets for the three
different show (1 \( s t \) shows, \( 2 n d \) show, \( 3 r d \) show) of circus on a particular day are in the ratio 2: 4: 5 if the \( 2 n d \) show
collection is \( R s .15,000 \) find the total
collection and collection of the
remaining two shows:
Subject: Maths
Find the factors of the following expression:
\( \boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{a} \boldsymbol{y}+\boldsymbol{b} \boldsymbol{y} \)
This question has multiple correct options
\( \mathbf{A} \cdot(a+b) \)
в. \( (a-b) \)
c. \( (x+y) \)
D. \( (x-y) \)
Subject: Maths
\( \mathbf{f}\left[\begin{array}{ll}\mathbf{2} & \mathbf{3} \\ \mathbf{5} & \mathbf{7}\end{array}\right]\left[\begin{array}{cc}\mathbf{1} & \mathbf{- 3} \\ -\mathbf{2} & \mathbf{4}\end{array}\right]=\left[\begin{array}{ll}-\mathbf{4} & \mathbf{6} \\ -\mathbf{9} & \boldsymbol{x}\end{array}\right], \) write
the value of \( x \)
Subject: Physics
Radiation, with wavelength \( 6561 A \) falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of \( 3 \times \)
\( 10^{-4} \mathrm{T} . \) If the radius of the largest
circular path followed by the electrons
is \( 10 \mathrm{mm} \), the work function of the metal is close to?
A \( .0 .8 \mathrm{eV} \)
B. \( 1.1 \mathrm{eV} \)
c. 1.6 ev
D. 1.8 ev
Subject: Physics
An electric bulb P rated \( 220 V, 60 W \) is
working at full efficiency. Another identical bulb \( Q \) is connected across the
mains as shown in the figure. The total
power consumed is :
A . \( 20 W \)
в. \( 40 W \)
\( c .30 W \)
D. \( 70 W \)
Subject: Physics
A galvanometer of resistance \( 30 \Omega \) is connected to battery of emf \( 2 V \) with 1970 \Omega resistance in series. A full scale
deflection of 20 divisions is obtained in
the galvanometer. To reduce the deflection to 10 divisions, the resistance
in series required is
A. \( 4030 \Omega \)
в. 4000 \( \Omega \)
c. \( 3970 \Omega \)
D. 2000 \( \Omega \)
Subject: Chemistry
Yellow brittle solid (A) gives a colourless \( \operatorname{gas}(B) \) on heating in air. \( B \) on heating in the
presence of oxygen gives gas \( \mathrm{C} \). \( \mathrm{C} \) is dissolved in D to form E. E on dilution
with water gives
D. B when dissolved in alkali 'F' gives
salt G.
From the above information answer the
following questions.

Write the balanced equations for \( B \) to G.
A. \( S O_{2}+2 N a O H \rightarrow N a_{2} S O_{3}+H_{2} O \)
в. \( 2 S O_{2}+O_{2} \rightarrow 2 S O_{3} \)
\( \mathrm{c} \cdot \mathrm{SO}_{2}+\mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{7} \)
D. \( H_{2} S_{2} O_{7}+H_{2} O \rightarrow 2 H_{2} S O_{4} \)
Subject: Chemistry
Which of the following is strongest acidic oxide?
\( A \cdot \operatorname{Sb}_{2} O_{3} \)
в. \( \mathrm{P}_{2} \mathrm{O}_{5} \)
\( c \cdot \mathrm{so}_{2} \)
\( \mathrm{D} \cdot \mathrm{s} \mathrm{O}_{3} \)
Subject: Maths
If \( P(n) \) is statement such that \( P(3) \) is true. Assuming \( \mathrm{P}(\mathrm{k}) \) is true \( \Rightarrow P(k+1) \)
is true for all \( k \geq 2, \) then \( P(n) \) is true.
A. For all \( n \)
B. For \( n \geq 3 \)
c. For \( n \geq 4 \)
D. None of these
Subject: Chemistry
The oxides of \( 15^{t h} \) group elements of the
type \( M_{2} O_{3} \) which will exhibit
amphoteric or basic properties but no acidic properties are
A \( \cdot N_{2} O_{3}, P_{2} O_{3} \)
в. \( A s_{2} O_{3}, S b_{2} O_{3} \)
\( \mathrm{c} \cdot S b_{2} O_{3}, B i_{2} O_{3} \)
D. \( P_{2} O_{3}, B i_{2} O_{3} \)
Subject: Physics
Electric field produced due to an infinitely long straight uniformly charged wire at perpendicular distance of \( 2 c m \) is \( 3 \times 10^{8} N C^{-1} \). Then, linear
charge density on the wire is
\( \left(K=9 \times 10^{9} S I \quad \text { unit }\right) \)
A \( \cdot 3.33 \frac{\mu C}{m} \)
в. \( 333 \frac{\mu C}{m} \)
c. \( \quad 666 \frac{\mu C}{m} \)
D. \( 6.66 \frac{\mu C}{m} \)
Subject: Chemistry
From among the elements, choose the
following:
\( \mathrm{Cl}, \mathrm{Br}, \mathrm{F}, \mathrm{O}, \mathrm{Al}, \mathrm{C}, \mathrm{Li}, \mathrm{Cs} \) and \( \mathrm{Xe} \)
The element which has the smallest
radius.
Subject: Maths
A line makes the same angle \( \theta \) with
each of the \( X \) and \( Z \) -axes. If the angle \( \beta \)
which it makes with \( Y \) -axis, is such
that \( \sin ^{2} \beta=3 \sin ^{2} \theta, \) then \( \cos ^{2} \theta \) equals
A \( \cdot \frac{2}{5} \)
в. \( \frac{1}{5} \)
\( c \cdot \frac{3}{5} \)
D. \( \frac{2}{3} \)
Subject: Physics
In an a.c. circuit the voltage applied is \( \boldsymbol{E}=\boldsymbol{E}_{0} \sin \omega \boldsymbol{t} . \) The resulting current in
the circuit is \( \boldsymbol{I}=\boldsymbol{I}_{0} \sin \left(\boldsymbol{\omega} \boldsymbol{t}-\frac{\boldsymbol{\pi}}{2}\right) . \) The
power consumption in the circuit is given by -
A \( \cdot \quad P=\frac{E_{0} I_{0}}{\sqrt{2}} \)
B . \( P= \) zero
c. \( _{P}=\frac{E_{0} I_{0}}{2} \)
D. \( P=\sqrt{2} E_{0} I_{0} \)
Subject: Physics
\( \boldsymbol{\alpha}=\mathbf{0 . 9 9} \) for a CE transistor amplified
circuit. The input resistance is equal to \( 1 \mathrm{K} \Omega \) and load resistance is equal to 10
K \( \Omega . \) The voltage gain of the circuit is
A . 99
в. 990
c. 9900
D. 99000
Subject: Chemistry
Product \( (A) \) is :
\( \sim \frac{\mathrm{B}_{\mathrm{T}_{2}}}{\mathrm{CCl}_{4}} \quad \frac{(\mathrm{i}) \mathrm{alc} \cdot \mathrm{KOH}}{(\mathrm{ii}) \mathrm{NaNH}_{2}}(A) \)
\( \mathbf{A} \cdot H_{2} C=C H-C H=C H_{2} \)
B \( \cdot C H_{3}-C \equiv C-C H_{3} \)
\( \mathbf{c} \cdot C H_{3}-C H_{2}-C \equiv C H \)
\( \mathbf{D} \cdot C H_{3}-C H=C \equiv C H_{2} \)
Subject: Chemistry
Resistance of a cconductivity cell filled with a solution of an electrolyte of concentration \( 0.1 M \) is \( 100 \Omega \). The
conductivity of this solution is \( 1.29 S m^{-1} . \) Resistance of the same cell
when filled with \( 0.02 ~ M \) of the same
solution is \( 520 \Omega \). The molar
conductivity of \( 0.02 M \) solution of the electrolyte will be:
A \( \cdot 124 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{mol}^{-1} \)
В. \( 1240 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{mol}^{-1} \)
c. \( 1.24 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{mol}^{-1} \)
D. \( 12.4 \times 10^{-4} \mathrm{Sm}^{2} \mathrm{mol}^{-1} \)
Subject: Physics
Charges \( 1 \mu c \) are placed at each of the four corners of a square of side \( 2 \sqrt{2} m \)
The potential at the point of intersection of the diagonals is
\( \left(K=9 \times 10^{9} S I \quad \text { unit }\right) \)
\( \mathbf{A} \cdot 18 \times 10^{3} V \)
B. \( 1800 V \)
c. \( 18 \sqrt{2} \times 10^{3} V \)
D. None of these
Subject: Maths
If \( y=\sec ^{-1}\left(\frac{1}{2 x^{2}-1}\right) \) then \( \frac{d y}{d x}=? \)
A \( \cdot \frac{-2}{\left(1+x^{2}\right)} \)
B. \( \frac{-2}{\left(1-x^{2}\right)} \)
c. \( \frac{-2}{\sqrt{1-x^{2}}} \)
D. none of these
Subject: Maths
\( \int e^{x}\left[f(x)+f^{\prime}(x)\right] d x \) is equal to
\( \mathbf{A} \cdot e^{x} f(x)+c \)
B \( \cdot e^{x}+c \)
\( \mathbf{c} \cdot e^{x} f^{\prime}(x)+c \)
D. None of these
Subject: Biology
Statement \( A: A \| \) green plants have chlorophyll pigment.

Statement B : Without chlorophyll, photosynthesis cannot take place.
From the above statements,
Neelima concluded that the dark red
colored croton plants in her garden
cannot prepare food on its own. But
her teacher said it is not correct. Why?
A. Croton plants are green but do not contain chlorophyll
B. Croton plants are dark red in color but do not contain chlorophyll.
c. croton plants have chlorophyll but it is hidden by dark red colour.
D. Croton plants do not have chlorophyll but they can prepare their own food.
Subject: Maths
The general solution of the equation \( \frac{d y}{d x}=\frac{y^{2}-x}{2 y(x+1)} \) is
\( \mathbf{A} \cdot y^{2}=(1+x) \log (1+x)-c \)
B. \( _{y^{2}}=(1+x) \log \frac{c}{(1-x)}-1 \)
c. \( y^{2}=(1-x) \log \frac{c}{(1+x)}-1 \)
D. \( y^{2}=(1+x) \log \frac{c}{(1+x)}-1 \)
Subject: Chemistry
By passing a certain amount of charge through NaCl solution, 9.2 litre of \( C l_{2} \)
were liberated at STP when the same
charge is passed through a nitrate solution of metal \( \mathrm{M}, 7.467 \mathrm{g} \) of the metal was deposited. If the specific heat of metal is 0.216 cal/g, the formula of metal nitrate will be:
\( \mathbf{A} \cdot M\left(N O_{3}\right)_{3} \)
B . \( M\left(N O_{3}\right) \)
\( \mathbf{c} \cdot M\left(N O_{3}\right)_{2} \)
D. None of these
Subject: Maths
Which one of the following is not correct
\( ? \)
A \( \cdot \frac{(\sin A+\sin B)}{(\sin A-\sin B)}=\frac{\tan \frac{1+\beta}{2}}{\tan \frac{1-B}{2}} \)
\( \mathbf{B} \cdot \sin ^{2} A-\cos ^{2} B=\sin (A+B) \sin (A-B) \)
C \( \cdot \cos A-\cos B=2 \cos \frac{A+B}{2} \cos \frac{B-A}{2} \)
\( \mathbf{D} \cdot \cos ^{2} A-\cos ^{2} B=\sin (A+B) \sin (B-A) \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{B r}+ \)
\( \boldsymbol{C H}_{3} \boldsymbol{O}^{-} \frac{\boldsymbol{C H}_{3} \boldsymbol{O H}}{\boldsymbol{6 0 ^ { o } \boldsymbol { C }}} \boldsymbol{P r o d u c t}(\boldsymbol{I}) \)
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{B r}+ \)
\( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O}^{-} \frac{\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C}-\boldsymbol{O H}}{60^{\circ} \boldsymbol{C}} \boldsymbol{P r o d u c t}(\boldsymbol{I I}) \)
Select the correct options among the following. This question has multiple correct options
A. \( C H_{3} O^{-} \) is a good nucleophile as well as a strong base and the primary bromide is converted into ether in the reaction (I)
B. \( C H_{3} O^{-} \) is a good nucleophile as well as a strong base forming the corresponding alkene in the reaction (I)
c. primary bromide is attacked by the bulky strong base forming the corresponding alkene in the reaction (II)
D. primary bromide is attacked by the bulky good nucleophile forming the corresponding ether
Subject: Maths
The range of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sqrt{4-x^{2}}+\sqrt{x^{2}-1} \) is
A \( \cdot[\sqrt{3}, \sqrt{7}] \)
B \( \cdot[\sqrt{3}, \sqrt{5}] \)
c. \( [\sqrt{2}, \sqrt{3}] \)
D. \( [\sqrt{3}, \sqrt{6}] \)
Subject: Maths
Assertion
Statement 1 If \( n \) is positive integer then \( \int_{0}^{n \pi}\left|\frac{\sin x}{x}\right| d x \geq \)
\( \frac{2}{\pi}\left(1+\frac{1}{2}+\frac{1}{3}+\ldots+\frac{1}{n}\right) \)
Reason
Statement \( 2 \frac{\sin x}{x} \geq \frac{2}{\pi} \) on \( (0, \pi / 2) \)
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
Assertion
The density of \( _{6}^{12} \mathrm{C} \) nuclide is about
\( 1.8 \times 10^{17} k g m^{-3} \) to that of water.
Reason
The ratio of density of \( \frac{12}{6} \) C nuclide and
water is about \( 1.8 \times 10^{14} k g m^{-3} \)
A. Assertionis correct but Reasson is wrong
B. Assertion is wrong but Reasson is correct
C. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
D. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
Subject: Chemistry
\( 25 \mathrm{cm}^{3} \) of oxalic acid completely neutralise 0.064 g of sodium hydroxide. Molarity of the oxalic acid solution is
A .0 .064
B. 0.045
\begin{tabular}{l} 
c. 0.015 \\
\hline
\end{tabular}
D. 0.032
Subject: Chemistry
Which of the following statement is
incorrect?
A. Type \( X Y_{3} \) interhalogen compounds possess T-shape structure.
B. Type \( X Y_{5} \) interhalogen compounds possess square pyramidal structure.
C. Type \( X Y_{3} \) interhalogen compounds are formed by \( s p^{3} d \) hybridisation.
D. Type \( X Y_{5} \) interhalogen compounds are formed by \( s p^{3} d^{3} \) hybridisation.
Subject: Maths
If \( \boldsymbol{I}_{n}=\int_{0}^{\sqrt{3}} \frac{\boldsymbol{d} \boldsymbol{x}}{1+\boldsymbol{x}^{n}},(\boldsymbol{n}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \boldsymbol{4} \dots \dots \dots) \)
then find the value of \( \lim _{n \rightarrow \infty} I_{n}, \) is
A .
B. 1
c. 2
D. \( \frac{1}{2} \)
Subject: Maths
Area of a sector having radius \( 12 \mathrm{cm} \) and arc length \( 21 \mathrm{cm} \) is
A \( \cdot 126 ~ c m^{2} \)
B. \( 252 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 33 \mathrm{cm}^{2} \)
D. \( 45 \mathrm{cm}^{2} \)
Subject: Chemistry
A sample of hydrogen gas \( \boldsymbol{H}_{2} \) is
irradiated by a light of \( \lambda=432.25 A \)
and all hydrogen after atomization gets excited to 3 rd orbit. Assuming no energy loss to the surroundings,
determine the bond energy of \( \boldsymbol{H}_{2} \) in \( \boldsymbol{k} \boldsymbol{J} \)
Subject: Chemistry
The hybridisation of carbon atoms in \( C \)
C single bond of above compound is:
\[
\mathrm{HC} \equiv \mathrm{C}-\mathrm{CH}=\mathrm{CH}_{2}
\]
В \( \cdot s p^{3}-s p^{2} \)
\( \mathbf{c} \cdot s p^{2}-s p^{2} \)
D. \( s p-s p^{2} \)
Subject: Physics
For the given circuit shown in fig to act as full wave rectifier - ac input should
be connected across and \( \ldots \ldots . \) the d.c.
output would appear across ......... and
\( A \cdot A, C, B, D \)
\( B . B, D, A, C \)
\( \mathbf{c} \cdot A, B, C, D \)
\( D \cdot C, A, D, B \)
Subject: Biology
Assertion
Unlike cabbage, sunflower plant has long internode with leaves that are far apart.
Reason
Sunflower produces sufficient amounts of Gibberellins during its growing period.
A. If both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. If both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion
c. If Assertion is correct but Reason is incorrect
D. If Assertion is incorrect but Reason is correct
Subject: Physics
At time \( t=0, \) a car moving along a
straight line has a velocity of 16 ms\( ^{-1} \)
It slows down with an acceleration of
-0.5 t \( m s^{-1}, \) where t is in second. Mark
the correct statement(s).
A. The direction of velocity changes at \( t=8 s \)
B. The distance travelled in 4 is approximately \( 58.67 \mathrm{m} \)
C. The distance travelled by the particle in 10 s is 94 m.
D. The speed of particle at \( t=10 \) s is \( 9 m s^{-1} \)
Subject: Maths
Calculate the mode of the frequency distribution
Mark \( \quad \begin{array}{ll}\text { Above } & \text { Above } \\ \mathbf{2 5} & \mathbf{3 5}\end{array} \quad \begin{array}{l}\text { Above } \\ \mathbf{4 5}\end{array} \)
No. of
students
49
42
Subject: Physics
To get maximum current through a resistance of \( 2.5 \Omega \), one can use \( \mathrm{m} \) rows
of cells, each row having n cells. The internal resistance of each cell is \( 0.5 \Omega \)
What are the value of \( n \) and \( m \), if the
total number of cells is \( 45 ? \)
A \( . m=3, n=15 \)
в. \( m=5, n=9 \)
c. \( m=9, n=5 \)
D. \( m=15, n=3 \)
Subject: Maths
If \( \sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{2} \) and \( \sin 2 x= \)
\( \cos 2 y, \) then
This question has multiple correct options
A \( \cdot x=\frac{\pi}{8}+\sqrt{\frac{1}{2}-\frac{\pi^{2}}{64}} \)
B. \( y=\sqrt{\frac{1}{2}-\frac{\pi^{2}}{64}}-\frac{\pi}{12} \)
c. \( _{x}=\frac{\pi}{12}+\sqrt{\frac{1}{2}-\frac{\pi^{2}}{64}} \)
D. \( y=\sqrt{\frac{1}{2}-\frac{\pi^{2}}{64}}-\frac{\pi}{8} \)
Subject: Maths
If \( \boldsymbol{A}=(\boldsymbol{6}, \boldsymbol{7}, \boldsymbol{8}, \boldsymbol{9}), \boldsymbol{B}=(\boldsymbol{4}, \boldsymbol{6}, \boldsymbol{8}, \boldsymbol{1} \boldsymbol{0}) \) and
\( \boldsymbol{C}=\{\boldsymbol{x}: \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{N}: \boldsymbol{2}<\boldsymbol{x} \leq \mathbf{7}\} ; \) find :
\( \boldsymbol{n}(\boldsymbol{B}-(\boldsymbol{A}-\boldsymbol{C})) \)