AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If the inertial mass \( m_{i} \) of the bob of a
simple pendulum of length \( ; l^{\prime} \) is not
equal to the gravitational mass \( m_{g} \) then its time period is:
\( ^{\mathrm{A}} \cdot_{T}=2 \pi \sqrt{\frac{m_{i} l}{m_{g} \cdot g}} \)
В \( \cdot T=2 \pi \sqrt{\frac{m_{g} \cdot l}{m_{i \cdot g}}} \)
\( ^{\mathbf{c}} \cdot_{T}=2 \pi \sqrt{\frac{l}{g}} \)
\( ^{\mathrm{D}} \cdot_{T}=2 \pi \sqrt{\frac{\left(m_{i}+m_{g}\right)}{\left(m_{i}-m_{g}\right)} \cdot \frac{l}{g}} \)
Subject: Maths
If a line \( O P \) of length \( r \) (Where ' \( O \) ' is the origin) makes an angle \( \alpha \) with \( x \) -axis
and lies on the xz-plane, then what are the coordinates of \( P ? \)
A \( \cdot(r \cos \alpha, 0, r \sin \alpha) \)
B . \( (0,0, r \sin \alpha) \)
\( \mathbf{c} \cdot(r \cos \alpha, 0,0) \)
D \( \cdot(0,0, r \cos \alpha) \)
Subject: Physics
A body goes to \( 10 \mathrm{km} \) north and \( 20 \mathrm{km} \)
east. The displacement from initia point is
A \( .22 .36 \mathrm{km} \)
B. \( 2 \mathrm{km} \)
\( \mathbf{c} .5 \mathrm{km} \)
D. \( 20 \mathrm{km} \)
Subject: Chemistry
The Henry's law constant for the
solubility of \( \mathbf{N}_{2} \) gas in water at \( \mathbf{2 9 8 K} \) is
\( 1.0 \times 10^{5} \) atm. The mole fraction of \( \mathbf{N}_{2} \)
in air is \( 0.8 . \) The number of moles of \( \mathbf{N}_{2} \)
from air dissolved in 10 moles of water
at \( 298 \mathrm{K} \) and 5 atm pressure is:
A \( \cdot 4.0 \times 10^{-4} \)
В. \( 4.0 \times 10^{-5} \)
c. \( 5.0 \times 10^{-4} \)
D. \( 4.0 \times 10^{-6} \)
Subject: Maths
How do you know the triangle is right
angled?
A. The triangle is right angled when the three sides of a triangle make \( a^{2}+b^{2}=c^{2} \)
B. The triangle is right angled when the three sides of a triangle do not make \( a^{2}+b^{2}=c^{2} \)
C. The triangle is not right angled when the three sides of a triangle make \( a^{2}+b^{2}=c^{2} \)
D. The three sides of a triangle are all same.
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \lim _{p \rightarrow \infty} \frac{\boldsymbol{x}^{p} \boldsymbol{g}(\boldsymbol{x})+\boldsymbol{h}(\boldsymbol{x})+\mathbf{7}}{\mathbf{7} \boldsymbol{x}^{\boldsymbol{p}}+\mathbf{3} \boldsymbol{x}+\mathbf{1}} ; \boldsymbol{x} \neq \mathbf{1} \) and
\( \boldsymbol{f}(\mathbf{1})=\mathbf{7}, \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{g}(\boldsymbol{x}) \) and \( \boldsymbol{h}(\boldsymbol{x}) \) are all
continuous functions at \( x=1 . \) Then
which of the following statement(s) is/are correct
This question has multiple correct options
A. \( g(1)+h(1)=70 \)
B. \( g(1)-h(1)=28 \)
D. \( g(1)-h(1)=-28 \)
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{H I} \stackrel{A l C l_{3}}{\rightarrow} \boldsymbol{A} \stackrel{A q . \boldsymbol{K O H}}{\rightarrow} \)
\( B^{c o n c . H_{2} S O_{4}} C,^{\prime} C^{\prime} i s: \)
A. Ethoxy ethane
B. Ethanol
c. Ethanal
D. Acetone
Subject: Maths
Examine the table. (Each figure is
divided into triangles and the sum of the angles deduced from that)

What can you say about the angle sum
of a convex polygon with number of \( \operatorname{sides}(n)=10 ? \)
\begin{tabular}{|l|c|c|c|c|}
\hline Figure & & & & & \\
\hline side & 3 & & & & \\
\hline Ange sum & \( 180^{\circ} \) & \( 2 \times 180^{\circ} \) & 5 & 6 \\
\hline
\end{tabular}
A \( .720^{\circ} \)
B. \( 960^{\circ} \)
\( c \cdot 1080^{\circ} \)
D. \( 1440^{\circ} \)
Subject: Maths
If A lies in the second quadrant and \( \mathbf{3} \tan \boldsymbol{A}+\mathbf{4}=\mathbf{0}, \) the value of \( \mathbf{2} \cot \boldsymbol{A}- \)
\( 5 \cos A+\sin A \) is equal to
A \( \cdot-\frac{53}{10} \)
в. \( \frac{23}{10} \)
\( c \cdot-\frac{37}{10} \)
D. \( \frac{7}{10} \)
Subject: Maths
If \( 2^{2 x-y}=32 \) and \( 2^{x+y}=16 \) then \( x^{2}+ \)
\( y^{2} \) is equal to
\( \mathbf{A} \cdot \mathbf{9} \)
B. 10
c. 11
D. 13
Subject: Physics
A \( 100 \Omega \) resistor is connected to a
\( 220 V, 50 H z A C \) supply. Find net power
consumed over a full cycle:
\( \mathbf{A} \cdot 121 W \)
B . \( 242 W \)
c. \( 368 W \)
D. \( 484 W \)
Subject: Physics
Which of the following is NOT an isotope of uranium?
B \( \cdot \frac{235}{91} \mathrm{U} \)
\( \mathrm{c} \cdot_{92}^{239} \mathrm{U} \)
D. \( \frac{235}{92} \mathrm{U} \)
E \( \cdot \frac{238}{92} \mathrm{U} \)
Subject: Maths
\( \boldsymbol{y}=\sin \left(\boldsymbol{\pi} / \boldsymbol{6} e^{x y}\right) \) putting \( \boldsymbol{x}=\mathbf{0} \operatorname{than} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
Subject: Physics
When a tension \( F \) is applied, the
elongation produced in uniform wire of length \( L, \) radius \( r \) is \( e . \) When tension \( 2 F \)
is applied, the elongation produced in another uniform wire of length \( 2 L \) and
radius \( 2 r \) made of same material is:
A . \( 0.5 e \)
B. \( 1.0 e \)
c. \( 1.5 e \)
D. \( 2.0 e \)
Subject: Chemistry
A 0.2 molal solution of KCl freezes at
\( -0.68^{\circ} \mathrm{C} . \) If \( K_{f} \) for \( H_{2} O \) is \( 1.86, \) the
degree of dissociation of \( \boldsymbol{K} \boldsymbol{C l} \) is:
A . \( 75 \% \)
B. \( 83 \% \)
\( c .65 \% \)
D. \( 92 \% \)
Subject: Physics
A source of sound having frequency 2000Hr \( \& \) a receiver are located at the
same point at the instant \( t=0, \) the source starts moving with const \( \boldsymbol{a c c}^{n}\left(\boldsymbol{a}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
Find the frequency registered by the receiver at the instant \( t=10 \) sr. Velocity of sound in air is \( 340 \mathrm{m} / \mathrm{s} \)
Subject: Physics
If 3 charges are placed at the vertices of
equilateral triangle of charge \( ^{\prime} \boldsymbol{q}^{\prime} \) each
What is the net potential energy, if the side of equilateral triangle is \( 1 c m \)
A. \( \frac{1}{4 \pi \epsilon_{0}} \frac{q^{2}}{l} \)
B. \( \frac{1}{4 \pi \epsilon_{0}} \frac{2 q^{2}}{l} \)
c. \( \frac{1}{4 \pi \epsilon_{0}} \frac{3 q^{2}}{l} \)
D. \( \frac{1}{4 \pi \epsilon_{0}} \frac{4 q^{2}}{l} \)
Subject: Maths
\( \int e^{x} \cos x d x=\frac{e^{x}}{2} f(x)+C \) then range of
\( f(x) \$ \$=\dots \)
A . [0,1]
в. [-1,1]
c. [-1,0]
D. \( [-\sqrt{2}, \sqrt{2}] \)
Subject: Chemistry
Assertion
All homogeneous substances are pure.
Reason
Alloys are homogeneous mixtures of
Solids.
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 but Reason is correct
Subject: Maths
\( \mathbf{f}\left(\mathbf{1}+\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} \boldsymbol{x}^{2}\right)^{4}=\boldsymbol{a}_{\mathbf{0}}+\boldsymbol{a}_{1} \boldsymbol{x}+ \)
\( a_{2} x^{2}+\ldots \ldots . .+a_{8} x^{8}, \) where
\( a, b, a_{0}, a_{1}, \dots \dots a_{8} \in R \) such that \( a_{0}+ \)
\( a_{1}+a_{2} \neq 0 \) and \( \left|\begin{array}{lll}a_{0} & a_{1} & a_{2} \\ a_{1} & a_{2} & a_{0} \\ a_{2} & a_{0} & a_{1}\end{array}\right|=0, \) then
the value of \( \frac{\mathbf{5} a}{b} \) is
Subject: Chemistry
Arrange the following ions in order of increasing strength as a reducing agent, and account for the trend:
A \( \cdot C r^{2+}<C r_{2} O_{7}^{2-}<C r^{3+} \)
B. \( C r^{2+}<C r^{3+}<C r_{2} O_{7}^{2} \)
c. \( C r_{2} O_{7}^{2-}<C r^{3+}<C r^{2} \)
D. \( C r_{2} O_{7}^{2-}<C r^{2+}<C r^{3+} \)
Subject: Chemistry
In a laboratory, liquid in a thermally insulated container is stirred for one
hour by a mechanical linkage to a stirrer, for this process:
A. \( W<0 ; q=0 \)
в. \( W<0 ; q>0 \)
c. \( W>0 ; q>0 \)
D. \( W>0 ; q=0 \)
Subject: Physics
A particle is moving in a straight line with initial velocity and uniform
acceleration \( a \). If the sum of the
distance travelled in \( t^{t h} \) and \( (t+1)^{t h} \)
seconds is \( 100 \mathrm{cm}, \) then its velocity
after \( t \) seconds, in \( \mathrm{cm} / \mathrm{s}, \) is
A . 80
B. 50
c. 20
D. 30
Subject: Physics
A man of mass \( 50 k g \) climbs up a ladder
of height \( 10 m \). Calculate the increase in
his potential energy. \( \left(\boldsymbol{g}=\mathbf{9 . 8 m} \boldsymbol{s}^{-2}\right) \)
A . \( 490 J \)
B . \( 2450 J \)
c. \( 4900 J \)
D. \( 0 . \)
Subject: Chemistry
One mole of \( H_{2} O \) and one mole of \( C O \)
were heated in a \( 10 L \) closed vessel at
\( 1260 K . \) At equilibrium, \( 40 \% \) of water
was found to react in the equation,
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{H}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g}) \)
Calculate the equilibrium constant of the reaction.
Subject: Physics
The \( V-I \) graph of a conductor at two
different temperatures is shown in Fig. The ratio of temperature \( \frac{T_{1}}{T_{2}} \) is :
A \( \cdot \tan ^{2} \theta \)
B \( \cdot \cot ^{2} \theta \)
\( \mathbf{c} \cdot \sec ^{2} \theta \)
\( \mathrm{D} \cdot \operatorname{cosec}^{2} \theta \)
Subject: Biology
Select the incorrect statement.
A. Ribozymes are nucleic acids with catalytic power.
B. Nucleic acids serve as genetic material.
C. Proteins, nucleic acids and polysaccharides are the only three types of macromolecules found in the living system.
D. Collagen is the most abundant protein in the whole of the biosphere and RuBisCo is the most abundant protein in animal world.
Subject: Chemistry
Discuss the relation between \( \boldsymbol{K}_{\boldsymbol{p}} \) and
\( K_{c} \) for this equilibrium:
\( \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\mathbf{2} \boldsymbol{C} \boldsymbol{l}_{2(\boldsymbol{g})} \rightleftharpoons \boldsymbol{4} \boldsymbol{H} \boldsymbol{C l}_{(\boldsymbol{g})}+ \)
\( \boldsymbol{O}_{2(\boldsymbol{g})} \)
A. \( K_{p}=K_{c} \)
\( \mathbf{B} \cdot K_{p}>K_{c} \)
c. \( K_{p}<K_{c} \)
\( ^{\mathrm{D}} K_{p}=\frac{1}{K_{c}} \)
Subject: Chemistry
Assertion
FrCl has \( C \)s \( C l \) structure with
coordination number 8
Reason
\( C N 8 \) is favoured by the large cation size.

Read the above assertion and reason
and choose the correct option regarding
¡t.
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 but Reason is correct
Subject: Physics
A car executes a turn of radius \( 22 m \) on
a banked road while travelling at a speed of \( 45 k m / h \). If the height of the outer edge above the inner edge of the road is \( 1.1 m, \) what is the breadth of the
road? \( (\text { in } \boldsymbol{m}) \)
A. 1.745
B. 1.569
c. 1.875
D. 1.236
Subject: Maths
Consider two arithmetic series:
\[
\begin{array}{l}
\boldsymbol{A}_{1}: \mathbf{2}+\mathbf{9}+\mathbf{1 6}+\mathbf{2 3}+\ldots \ldots \ldots+\mathbf{2 0} \\
\boldsymbol{A}_{\mathbf{2}}: \mathbf{5}+\mathbf{9}+\mathbf{1 3}+\mathbf{1 7}+\ldots \ldots \ldots+\mathbf{1 6}
\end{array}
\]
then the number of terms common to
the two series is
\( A \cdot 6 \)
B. 8
c. 10
D. 12
Subject: Chemistry
The wavelength of the radiation emitted
by Hydrogen when compared to \( \boldsymbol{H} \boldsymbol{e}^{+} \) is:
A. 2 times that of \( H e^{+} \) ion
B. 3 times that of \( H e^{+} \) ion
c. 4 times that of \( H e^{+} \) ion
D. same as \( H e^{+} \)
Subject: Physics
A wave is propagating in positive \( x- \)
direction. A time \( t=0 \) its snapshot is
taken as shown.lf the wave equation is
\( \boldsymbol{y}=\boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}+\boldsymbol{\phi}), \) then \( \boldsymbol{\phi} \) is
A. \( \phi=0 \)
В. \( \phi=\pi \)
\( c \cdot \phi=\frac{\pi}{2} \)
D. \( \phi=3 \pi / 2 \)
Subject: Chemistry
The vapour pressure of pure benzene at
\( 88 C \) is \( 960 \mathrm{mm} \) and that of toluene at
the same temperature is \( 380 \mathrm{mm} \) of
benzene. At what mole fraction of
benzene. the mixture will boil at \( 88^{\circ} \mathrm{C} \) ?
A . 0.655
B. 0.345
\( c \cdot 0.05 \)
D. 0.25
Subject: Maths
For given G.P. \( 1, \frac{1}{10}, \frac{1}{100}, \frac{1}{1000}, \frac{1}{10000}, . . \) find the
common ratio.
A \( \cdot \frac{1}{10} \)
B. \( \frac{1}{100} \)
c. \( \frac{1}{50} \)
D. \( \frac{3}{10} \)
Subject: Physics
If a conductor has \( 10^{8} \) number of
electrons, then the total charge of the conductor is:
A. \( +1.6 \times 10^{-19} \mathrm{C} \)
В. \( -1.6 \times 10^{-19} \mathrm{c} \)
c. \( +1.6 \times 10^{-11} \mathrm{c} \)
D. \( -1.6 \times 10^{-11} \mathrm{C} \)
Subject: Physics
A mono energetic electron beam with the speed of \( 5.2 \times 10^{6} m s^{-1} \) enters into
the magnetic field of induction \( 3 x \)
\( 10^{-4} T, \) directed normal to the
beam. Then the radius of the circle
traced by the beam:
\( \left(\operatorname{given} e / m=1.76 \times 10^{11} C K g^{-1}\right) \)
B. \( 0.98 m \)
\( c .0 .089 m \)
D. \( 9.8 m \)
Subject: Chemistry
Solubility of KCl is maximum in:
A \( \cdot C H_{3} C H_{2} O H \)
в. \( C H_{3} O C H_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{3} \) COOH
Subject: Physics
A charge particle of charge \( q \) is moving
with speed \( v \) in a circle of radius \( R \) as shown in figure. Then the magnetic field at a point on axis of circle at a distance
\( x \) from centre is :
A \( \cdot \frac{\mu_{0}}{4 \pi} \frac{q V}{R^{2}} \)
в. \( \frac{\mu_{0}}{4 \pi} \frac{q V}{\left(R^{2}+x^{2}\right)} \)
c. \( \frac{\mu_{0}}{4 \pi} \frac{q V}{x^{2}} \)
D. \( \frac{\mu_{0}}{4 \pi} \frac{q V R}{\left(R^{2}+x^{2}\right)^{3 / 2}} \)
Subject: Physics
A galvanometer of 50 gives full scale
deflection with 2 mA current as to
convert it into ammeter range of 10 A is connected with it then shunt resistance
will be
A . \( 0.1 \Omega \)
B. \( 0.2 \Omega \)
c. \( 0.01 \Omega \)
D. \( 0.001 \Omega \)
Subject: Maths
What is \( \lim _{h \rightarrow 0} \frac{\sqrt{2 x+3 h}-\sqrt{2 x}}{2 h} \) equal to?
\( ^{\mathbf{A}} \cdot \frac{1}{2 \sqrt{2 x}} \)
в. \( \frac{3}{\sqrt{2 x}} \)
c. \( \frac{3}{2 \sqrt{2 x}} \)
D. \( \frac{3}{4 \sqrt{2 x}} \)
Subject: Physics
The displacement (s) of a particle moving along a straight line is related
to time \( t \) as \( s=a t^{3}+b t^{3}+c t, \) where
\( a, b \) and \( c \) are constants. What is the ratio of its initial velocity and initia
acceleration?
\( A \cdot \infty \)
в. \( \frac{b}{2 c} \)
c. \( \frac{c}{2 c} \)
D.
Subject: Chemistry
Which of the following name formula
combinations is not correct?
\( \mathbf{A} \cdot K\left[\operatorname{Cr}\left(N H_{3}\right)_{2} C l_{4}\right]- \) Potassium
diamminetetrachlorochromate(III)
B. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4}\left(H_{2} O\right) I\right] S O_{4} \)
Tetraammineaquaiodocobalt(III) sulphate
C \( \cdot K_{2}\left[P t(C N)_{4}\right] \) - Potassium tetracyanoplatinate(II)
D. \( \left[M n(C N)_{5}\right]^{2-} \) - Pentacyanomanganate (II) ion
Subject: Chemistry
Ethylenediamine displaces \( H_{2} O \) in the
complex \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \) in three steps.
\[
\left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+}+\boldsymbol{3} \boldsymbol{e} \boldsymbol{n} \rightarrow\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{e} \boldsymbol{n})_{3}\right]^{3+}+
\]
\( 6 H_{2} O \)
Stepwise formation constants are
\[
\begin{array}{l}
\log K_{1}=4.34 \\
\log K_{2}=3.31 \\
\log K_{3}=2.05
\end{array}
\]
Overall formation constant is \( \boldsymbol{A} \times \mathbf{1 0}^{\boldsymbol{B}} \)
\( A+B \) is
Subject: Chemistry
Two samples of HCl of \( 1.0 \mathrm{M} \) and \( 0.25 \mathrm{M} \)
are mixed. Find volumes of these
samples taken in order to prepare 0.75
M HCI solution. Assume no water is
added.
(1) \( 20 \mathrm{mL}, 10 \mathrm{mL} \)
(III) \( 100 \mathrm{mL}, 50 \mathrm{mL}(\mathrm{III}) \)
\( 40 \mathrm{mL}, 20 \mathrm{mL}(\mathrm{IV}) 50 \mathrm{mL}, 25 \mathrm{mL} \)
A . ।, ॥।, IV
B. ।, ॥
c. ॥, ॥ा, । v
D. I, II, III, IV
Subject: Maths
To construct a triangle similar to given \( \Delta A B C \) with sides equal to \( \frac{7}{5} \) of the
sides of \( \Delta A B C, \) a ray \( B X \) is drawn
such that \( \angle C B X \) is acute angle and
\( B_{1}, B_{2}, B_{3}, \dots \) are marked at equal
distances on \( B X \). The points to be
joined in the next step are:
в. \( B_{5}, C \)
\( \mathbf{c} \cdot B_{7}, C \)
D. \( B_{2}, C \)
Subject: Chemistry
\( \boldsymbol{I}_{2}+\boldsymbol{I}^{-} \rightleftharpoons \boldsymbol{I}_{3}^{-} \) This reaction is set-up in
aqueous medium. We start with one
mole of \( I_{2} \) and 0.5 mol of \( I^{-} \) in \( 1 L \) flask.
After equilibrium is reached, excess of
\( A g N O_{3} \) gave 0.25 mol of yellow
precipitate. Equilibrium constant is
A . 1.33
B . 2.66
\( c .2 .00 \)
D. 3.00
Subject: Chemistry
For the reaction \( F_{2} \rightleftharpoons 2 F, \) Calculate the
degree of dissociation of fluorine at 4
\( \operatorname{atm} \) and \( 1000 k, \) when \( K_{p}=1.4 \times 10^{-2} \)
\( \operatorname{atm} \)
Subject: Maths
A group of 10 observations has mean 5 and \( \operatorname{s.D.} 2 \sqrt{6} . \) Another group of 20 observations has mean 5 and \( \mathrm{S.D.} 3 \sqrt{2} \)
then the S.D. of combined group of 30 observations is
A . \( \sqrt{5} \)
B. \( 2 \sqrt{5} \)
\( c \cdot 3 \sqrt{5} \)
D. None of these
Subject: Maths
Solve for \( \mathbf{y}:\left|\begin{array}{ccc}\boldsymbol{x}+\boldsymbol{y} & \boldsymbol{x} & \boldsymbol{x} \\ \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y} & \boldsymbol{x} \\ \boldsymbol{x} & \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right|= \)
\( \mathbf{1 6}(\boldsymbol{3} \boldsymbol{x}+\boldsymbol{4}) \)
Subject: Chemistry
Which of the following does not
represent resonating structures?
A. \( C H_{3}-C O-C H_{3} \) and \( C H_{3}-C(O H)=C H_{2} \)
в.
and
\( c \)
\( C H_{3}-C-C H_{3} \) and
D. \( C H_{2}=C=O \) and \( \stackrel{(-)}{C} H_{2}-C \equiv O^{(+)} \)
Subject: Chemistry
Arrange the following compounds in increasing order of acidity:
\( \boldsymbol{C H} \equiv \boldsymbol{C H}, \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H}_{2}, \boldsymbol{C I C H}_{2} \boldsymbol{C H}_{3}, \boldsymbol{F C H}_{2} \boldsymbol{C H}_{3}, \boldsymbol{C H}_{3} \boldsymbol{C l} \)
A. \( C H \equiv C H<C H_{2}=C H_{2}<C H_{3} C H_{3}< \)
\( C I C H_{2} C H_{3}<F C H_{2} C H_{3} \)
в. \( C H_{3} C H_{3}<C H_{2}=C H_{2}<C H \equiv C H< \)
\( C I C H_{2} C H_{3}<F C H_{2} C H_{3} \)
c. \( C I C H_{2} C H_{3}<F C H_{2} C H_{3}<C H_{2}=C H_{2}<C H \equiv \)
\( C H<C H_{3} C H_{3} \)
D. \( C H_{3} C H_{3}<C I C H_{2} C H_{3}<F C H_{2} C H_{3}<C H_{2}= \)
\( C H_{2}<C H \equiv C H \)
Subject: Physics
At a place on the surface of earth vertical component of earth's field is two times that of horizontal component.
Then the latitude angle at that place is
\( \mathbf{A} \cdot \tan ^{-1}(2) \)
B \cdot \( \tan ^{-1}(1 / 2) \)
\( c \cdot 45^{\circ} \)
D. \( 0^{\circ} \)
Subject: Physics
A helicopter is to reach a point \( 200000 m \) east of his existing place. Its velocity relative to wind blowing at \( 30 k m h^{-1} \) from northwest taking
scheduled arrival time duration as
40minute is
B. \( 279 \hat{i}+21 \hat{j} \)
c. \( 729 \hat{i}+12 \hat{j} \)
D. \( 12 \hat{i}+729 \hat{j} \)
Subject: Biology
abelling from the options given.
A. A- Testis, B- Spermatheca, C- Seminal vesicle, D- Ovary
E- Vas deferens, F- Accessory gland
B. A- Spermatheca, B- Testis, C- Ovary, D- Oviduct, E- Vas deferens, F- Accessory gland
C. A- Spermatheca, B- Testis, C- Seminal vesicle, D- Ovary
E- Vas deferens, F- Accessory gland
D. A- Spermatheca, B- Testis, C- Accessory gland, DOvary, E- Vas deferens, F- Seminal vesicle
E. A- Spermatheca, B- Ovary, C- Seminal vesicle, D- Testis
E- - vas deferens, F- Accessory gland
Subject: Physics
\( Y(x, t)=\frac{0.05}{\left[(4 x+2 t)^{2}+5\right]} \) represents a
moving wave pulse, where \( x \) and \( y \) are
in meters and \( t \) is in seconds. Then
which statement(s) are correct:
This question has multiple correct options
A. pluse is moving in \( -x \) direction
B. wave speed is \( 0.5 \mathrm{m} / \mathrm{s} \)
c. max. particle displacement is \( 1 \mathrm{cm} \)
D. it is a symmetric pulse
Subject: Physics
A plank with a box on it at one end is
gradually raised about the other end. As
the angle of inclination with the
horizontal reaches \( 30^{\circ}, \) the box starts to
slip and slides 4.0 m down the plank in
4.0 \( s \). The coefficients of static and
kinetic friction between the box and the
plank will be, respectively
A. 0.4 and 0.3
B. 0.6 and 0.6
c. 0.6 and 0.5
D. 0.5 and 0.6
Subject: Physics
A planet's density is 3 times that of the Earth. But the acceleration due to
gravity on its surface is exactly the same as on the Earth's surface. The
radius of the planet in terms of the Earth's radius \( R \) is
A \( .2 . R \)
в. \( 3 R \)
c. \( \frac{R}{3} \)
D. none of the above
Subject: Chemistry
Which of the following reactions
proceed at low pressure
\( \mathbf{A} \cdot N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3} \)
\( \mathbf{B} \cdot H_{2}+I_{2} \rightleftharpoons 2 H I \)
\( \mathbf{c} \cdot P C l_{5} \rightleftharpoons P C l_{3}+C l_{2} \)
D. \( N_{2}+O_{2} \rightleftharpoons 2 N O \)
Subject: Physics
The spacecraft of mass \( M \) moves with velocity \( V \) in free space at first, then it explodes breaking into two pieces. If after explosion a piece of mass \( \boldsymbol{m} \) comes to rest, the other piece of
spacecraft will have a velocity:
A. \( \frac{M V}{(M-m)} \)
в. \( \frac{M V}{(M+m)} \)
c. \( \frac{m V}{(M m)} \)
D. \( \frac{m V}{(M+m)} \)
Subject: Physics
Consider the potentimeter circuit
arranged as in figure. The potentometer
wire is \( 600 \mathrm{cm} \) long.
(a) At what distance from the point \( \boldsymbol{A} \)
should the jockey touch the wire to get zero deflection in the galvanometer?
(b) If the jockey touches the wire at a
distance of \( 560 \mathrm{cm} \) from \( \mathrm{A} \), what will be
the current in the galvanometer?
Subject: Chemistry
The decomposition of \( N H_{3} \) on finely
divided platinum follows the rate expression, Rate \( =\frac{\boldsymbol{k}_{\mathbf{1}}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]}{\mathbf{1}+\boldsymbol{k}_{2}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]} \)
It is a first order reaction when
concentration of \( \boldsymbol{N} \boldsymbol{H}_{3} \) is:
A. very low
B. very high
c. moderate
D. never
Subject: Chemistry
Write \( I U P A C \) names of the following alchohols:
\( \boldsymbol{C H}-\underset{C_{2} H_{5}}{\boldsymbol{C} \boldsymbol{H}}-\underset{_{O H} \boldsymbol{I} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{3}}{\boldsymbol{O H}} \)
Subject: Maths
If for a real number \( x,[x] \) denotes the
greatest integer less than or equal to \( x \) then for any \( \boldsymbol{n} \in \boldsymbol{N},\left[\frac{\boldsymbol{n}+\mathbf{1}}{\mathbf{2}}\right]+ \)
\( \left[\frac{n+2}{4}\right]+\left[\frac{n+4}{8}\right]+\left[\frac{n+8}{16}\right]+\ldots= \)
\( A \)
B. \( n-1 \)
\( \mathbf{c} \cdot n+1 \)
D. \( n+2 \)
Subject: Physics
A rectangular frame of wire abcd has
dimensions \( 32 \mathrm{cm} \times 8.0 \mathrm{cm} \) and a total
resistance of \( 2.0 \Omega . \) It is pulled out of a
magnetic field \( B=0.020 T \) by applying
a force of \( 3.2 \times 10^{-5} N \) (figure). It is
found that the frame moves with
constant speed. What is constant speed
of the frame?
Subject: Physics
A circular hoop of mass \( M \) and radius
\( R \) is suspended from a nail in the wall.
Its moment of inertia about an axis
along the nail will be:
A. Zero
В. \( M R^{2} \)
\( \mathrm{c} \cdot 2 \mathrm{M} R^{2} \)
D. \( \frac{M R^{2}}{2} \)
Subject: Maths
Solve for \( \boldsymbol{x}: \mathbf{2 5}+\mathbf{2 2}+\mathbf{1 9}+\ldots \ldots+\boldsymbol{x}= \)
\( \mathbf{1 1 5} \)
If \( a, b, c \) are in A.P, Prove \( a+b, b+c, c+a \) are
in A.P
Subject: Chemistry
The correct formula of diammine
dichlorodicyano chromate (III) is :
\( \mathbf{A} \cdot\left[\operatorname{Cr} C l_{2}(C N)_{2}\left(N H_{3}\right)_{2}\right]^{3+} \)
B . \( \left[C r C l_{2}(C N)_{2}\left(N H_{3}\right)_{2}\right]^{3} \)
\( \mathbf{c} \cdot\left[C r C l_{2}(C N)_{2}\left(N H_{3}\right)_{2}\right. \)
D. \( \left[C r C l_{2}(C N)_{2}\left(N H_{3}\right)_{2}\right] \)