AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In context with the industrial
preparation of hydrogen from water gas
\( \left(C O+H_{2}\right), \) which of the following is the
correct statement?
\( \mathbf{A} \cdot \mathrm{CO} \) and \( \mathrm{H}_{2} \) are fractionally separated using differences in their densities
B. \( \mathrm{CO} \) is removed by absorption in aqueous \( \mathrm{Cu}_{2} \mathrm{Cl}_{2} \) solution
C \( . H_{2} \) is removed through occulsion with Pd
D. \( C O \) is oxidised to \( C O_{2} \) with steam in the presence of a
catalyst followed by absorption of \( C O_{2} \) in alkali
Subject: Chemistry
Three different wavelengths of light (1,2 and 3 ) are shined onto the same
sodium metal surface. Light 1 and 2 produced photoelectrons while Light 3 did not produce any photoelectrons.
Light 2 was able to produce photoelectrons with higher velocities
than Light 1
Arrange the lights in order of decreasing wavelength.
\( \mathbf{A} \cdot 3>1>2 \)
В. \( 2>1>3 \)
c. \( 1>2>3 \)
D. \( 3>2>1 \)
Subject: Maths
If \( f(x)=x+5 \) and \( g(x)=\sqrt{x^{2}-9} \) then find the domain of \( \operatorname{gof}(x) \)
A \( \cdot(-8,-2) \)
В \( \cdot(-\infty,-8) \cup(-2, \infty) \)
c. \( (-\infty,-8] \cup[-2, \infty) \)
D. \( (-(-\infty,-8] \cup[-2, \infty) \)
Subject: Chemistry
Conversion of ammonia to nitric acid by the above process giving all conditions is \( \mathbf{4} \boldsymbol{N} \boldsymbol{H}_{3}+\boldsymbol{x} \boldsymbol{O}_{2} \stackrel{\boldsymbol{P} t}{\longrightarrow} \boldsymbol{y} \boldsymbol{N} \boldsymbol{O}+\boldsymbol{6} \boldsymbol{H}_{2} \boldsymbol{O} \)
\( \mathbf{2} N \boldsymbol{O}+\boldsymbol{O}_{2} \rightarrow \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2} \)
\( \boldsymbol{z} \boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}+\boldsymbol{N} \boldsymbol{O} \)
Fiind \( x, y \) and \( z: \)
A. \( x=5, y=4 \) and \( z=3 \)
в. \( x=5, y=2 \) and \( z=4 \)
c. \( x=3, y=4 \) and \( z=5 \)
D. \( x=5, y=2 \) and \( z=3 \)
Subject: Physics
A dielectric slab of thickness dis
inserted in a parallel plate capacitor
where negative plate is at \( x=0 \) and
positive plate is at \( x=3 d . \) The slab is
equidistant from the plates. The capacitor is given some charge. As \( x \)
goes from 0 to \( 3 d \)
This question has multiple correct options
A. The magnitude of electric field remains the same
B. The direction of electric field remain the same
c. The electric potential increases continuously.
D. The electric potential increase at first then decrease and again increase.
Subject: Physics
If \( E_{1}, E_{2} \) and \( E_{3} \) are the respective kinetic energies of an electron, an alpha particle and a proton each having the same de Brogli wavelength then
A. \( E_{1}>E_{3}>E_{2} \)
B . \( E_{2}>E_{3}>E_{1} \)
c. \( E_{1}>E_{2}>E_{3} \)
D. \( E_{1}=E_{2}=E_{3} \)
Subject: Chemistry
Equal volume of the following \( C a^{2+} \) and
\( F^{-} \) solutions are mixed. In which
solutions will the precipitation occur? \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C a} \boldsymbol{F}_{2}=\mathbf{1 . 7} \times \mathbf{1 0}^{-10} \)
(1) \( 10^{-2} M C a^{2+}+10^{-5} M F^{-} \)
(2) \( 10^{-3} M C a^{2+}+10^{-3} M F^{-} \)
(3) \( 10^{-4} M C a^{2+}+10^{-2} M F^{-} \)
\( (4) 10^{-2} M C a^{2+}+10^{-3} M F^{-} \)
Select the correct answer using the codes given below:
A \( \cdot \ln (4) \) only
B. In (1) and (2)
\( c \cdot \ln (3) \) and (4)
\( D \cdot \ln (2),(3) \) and (4)
E. In all these
Subject: Chemistry
Statement 1: The angular nodes in a \( 2 p \) shell is one.
Statement 2: p-shell is dumb-bell shaped.
A. Statement 1 is true, statement 2 is true; statement 2 is correct explanation for statement
B. Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
c. Statement 1 is True, statement 2 is False
D. Statement 1 is False, statement 2 is True.
Subject: Chemistry
The ore that can be concentrated by magnetic separation method is:
A \( \cdot \) bauxite \( \left(A l_{2} O_{3} \cdot x H_{2} O\right) \)
B . pyrolusite \( \left(M n O_{2}\right) \)
C . cuprite \( \left(C u_{2} O\right) \)
D. zincite \( (Z n O) \)
Subject: Biology
Which of the following steps during glycolysis is associated with utilization of ATP?
A. Glucose \( \rightarrow \) Glucose- 6 -phosphate
B. Fructose-6-phosphate \( \rightarrow \) Fructose- 1,6 -bisphosphate
c. PEP \( \rightarrow \) Pyruvic acid
D. Both (a) and (b)
Subject: Maths
Divide: \( -4 x^{3}-6 x^{2}+8 x \) by \( 2 x \)
A \( \cdot\left(-2 x^{2}-3 x+4\right) \)
B. \( 2 x\left(2 x^{2}-3 x+4\right) \)
C \( \cdot\left(-2 x^{2}-3 x+4\right) \)
D. \( x\left(-2 x^{2}-3 x-4\right) \)
Subject: Physics
Pressure \( \boldsymbol{P}_{\boldsymbol{r}}=\frac{\boldsymbol{3} \boldsymbol{F} \boldsymbol{v}^{2}}{\boldsymbol{\pi}^{2} \boldsymbol{t}^{2} \boldsymbol{x}}\left(\text { where } \boldsymbol{P}_{\boldsymbol{r}}=\right. \)
Pressure \( F= \) force, \( v= \) velocity, \( t=\operatorname{time}, x \) \( = \) distance
State whether true or false: the above
equation is dimentionally correct
A. True
B. False
Subject: Physics
A step-down transformer has a coil ratio of 1.5 to \( 17 . \) The voltage applied at the
primary side of the transformer is \( 136 V \)
What is the output voltage of the transformer?
A . \( 1.2 V \)
в. \( 1.5 V \)
c. \( 5.25 V \)
D. \( 12 V \)
E . \( 18.75 V \)
Subject: Chemistry
The K.E of \( N \) molecule of \( O_{2} \) is xjoules
at \( _{--} 123^{\circ} \) C. Another sample of \( O_{2} \) at
\( 327^{\circ} \mathrm{C} \) has a \( \mathrm{K.E} \) of \( 2 x \) joules. The latter sample contains:
A. \( N \) molecules of \( O_{2} \)
B. 2 N molecules of \( O_{2} \)
C. \( N / 2 \) molecules of \( O_{2} \)
D. \( N / 4 \) molecules of \( O_{2} \)
Subject: Chemistry
If the temperature of a water bath is \( 104^{0} F \) then its value in degree Celsius
scale will be?
\( \mathbf{A} \cdot 35^{0} C \)
В . \( 45^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 50^{\circ} C \)
D. \( 40^{\circ} \mathrm{C} \)
Subject: Chemistry
Match the following. SET A SET B
Name of hormone Functional
group in hormones
1) Testosterone
a) double
bond
2) Estradiol
b) Ketone
3) Progesterone
c) Alcohols
4) Ethylene
d) Alcohol and ketone
A \( \cdot 1-d ; 2-c ; 3-b ; 4-a \)
B. \( 1-a ; 2-b ; 3-c ; 4-d \)
\( c \cdot 1-c ; 2-d ; 3-a ; 4-b \)
D. \( 1-b ; 2-c: 3-d: 4-c \)
Subject: Maths
The converse of \( \boldsymbol{p} \Rightarrow \boldsymbol{q} \) is
\( \mathbf{A} \cdot p \Rightarrow q \)
в. \( q \Rightarrow p \)
c. \( -p \Rightarrow-q \)
\( \mathbf{D} \cdot-q \Rightarrow-p \)
Subject: Physics
Q Type your question.
other end of rod is at temperature \( T_{2} \)
and is exposed to atmosphere. The
temperature of atmospheric is \( T_{s} . \) The
lateral part of rod is insulated. If \( \boldsymbol{T}_{2}- \)
\( \boldsymbol{T}_{s}<<\boldsymbol{T}_{s}, \boldsymbol{T}_{2}=\boldsymbol{T}_{s}+\boldsymbol{\Delta} \) Т \( \boldsymbol{\&} \boldsymbol{\Delta} \boldsymbol{T} \propto \)
\( \left(T_{1}-T_{s}\right), \) find proportionality constant
of given equation. The heat loss to
atmosphere is through radiation only and the emissivity of the rod is \( \varepsilon \).
\( A \)
в.
\( c \)
D.
Subject: Maths
The equation of directrix and latus
rectum of a parabola are \( 3 x-4 y+ \)
\( 27=0 \) and \( 3 x-4 y+2=0 . \) Then the
length of latus rectum is
\( \mathbf{A} \cdot \mathbf{5} \)
B . 10
c. 15
D. 20
Subject: Physics
A particle \( A \) moves in one direction
along a given trajectory with a
tangential acceleration \( \omega_{\tau}=a \tau, \) where
\( \vec{a} \) is a constant vector coinciding in direction with the \( x \) axis as shown in
figure above, and \( \vec{\tau} \) is a unit vector coinciding in direction with the
velocity vector at a given point. Find how the velocity of the particle depends on \( x \) provided that its velocity is negligible at the point \( \boldsymbol{x}=\mathbf{0} \)
Subject: Physics
The function which represents the height, \( h(t), \) of a ball \( t \) seconds after it is kicked into the air is
\( \boldsymbol{h}(\boldsymbol{t})=-\mathbf{1 6} \boldsymbol{t}^{2}+\boldsymbol{6} \boldsymbol{4} \boldsymbol{t} \)
What does \( t \) represent if \( h(t) \) is zero?
A time that ball reaches \( \frac{3^{t h}}{4} \) its maximum height
B. TIme that ball reaches one- - half its maximum height
c. The time at which the ball is on the ground
D. Time that ball reaches its maximum height
Subject: Maths
Prove that \( \left|\begin{array}{ccc}\mathbf{1}+\boldsymbol{a} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{b} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{c}\end{array}\right|= \)
\( \boldsymbol{a b c}\left(\mathbf{1}+\frac{\mathbf{1}}{\boldsymbol{a}}+\frac{\mathbf{1}}{\boldsymbol{b}}+\frac{\mathbf{1}}{\boldsymbol{c}}\right) \)
Subject: Maths
\( A=\left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3\end{array}\right], \) then \( \operatorname{Adj}(A) \)
\( A \cdot 3 A \)
B. \( 6 A \)
\( \mathrm{c} \cdot 9 A^{T} \)
D. \( 2 A^{\text {? }} \)
Subject: Maths
The value of \( \sqrt{\boldsymbol{i}} \) is
A. \( 1-i \)
в. \( 1+i \)
\( \mathbf{c} \cdot \pm(1+i) \)
D. \( i-1 \)
E . \( \frac{\pm 1}{\sqrt{2}}(1+i) \)
Subject: Physics
Two trains \( 121 \mathrm{m} \) and \( 99 \mathrm{m} \) in length are running in opposite directions with velocities \( 40 \mathrm{km} \mathrm{h}^{-1} \) and \( 32 \mathrm{km} \mathrm{h}^{-1} \). In
what time they will completely cross each other?
A . 9 s
B. 11 s
\( c \cdot \) 13 \( s \)
D. 15 s
Subject: Chemistry
The amount of electrolytes required
coagulate a given amount of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{I} \) colloidal solution (-ve charge) will be in the order:
A \( \cdot \operatorname{NaNO}_{3}>\operatorname{Al}\left(\mathrm{NO}_{3}\right)_{3}>\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \)
в. \( A l\left(N O_{3}\right)_{3}>B a\left(N O_{3}\right)_{2}>N a N O_{3} \)
c. \( A l\left(N O_{3}\right)_{3}>N a N O_{3}>B a\left(N O_{3}\right)_{2} \)
D. \( \operatorname{NaNO}_{3}>\operatorname{Ba}\left(\mathrm{NO}_{3}\right)_{2}>\operatorname{Al}\left(\mathrm{NO}_{3}\right)_{3} \)
Subject: Chemistry
At \( 90^{\circ} C \) pure water has \( \left[H_{3} O^{+}\right]=10^{-6} \)
mol/litre. The value of \( \boldsymbol{K}_{\boldsymbol{w}} \) at \( \mathbf{9 0}^{\circ} \boldsymbol{C} \) is
A \( \cdot 10^{-6} \)
\( ^{6}-10^{-6} \)
B . \( 10^{-12} \)
\( c \cdot 10^{-8} \)
D. \( 10^{-14} \)
Subject: Physics
Answer the following questions:
(a) Explain qualitatively on the basis of domain picture the irreversibility in the magnetisation curve of a ferromagnet.
(b) The hysteresis loop of a soft iron piece has a much smaller area than
that of a carbon steel piece. If the material is to go through repeated cycles of magnetisation, which piece will dissipate greater heat energy?
(c) 'A system displaying a hysteresis loop such as a ferromagnet, is a device for storing memory? Explain the meaning of this statement.
(d) What kind of ferromagnetic material is used for coating magnetic tapes in a cassette player, or for building 'memory stores' in a modern computer?
(e) A certain region of space is to be shielded from magnetic fields. Suggest a method.
Subject: Physics
The sun revolves around galaxy with speed of \( 250 k m / s \) around the center of
milky way and its radius is \( 3 \times 10^{4} \)
light year. The mass of milky way in \( k g \)
is
A \( \cdot 6 \times 10^{4} \)
В \( .5 \times 10^{4} \)
\( c \cdot 4 \times 10^{4} \)
D. \( 3 \times 10^{4} \)
Subject: Maths
\( \operatorname{Det}\left\{\begin{array}{lll}2 & 45 & 55 \\ 1 & 29 & 32 \\ 3 & 68 & 87\end{array}\right\}=\dots \dots \)
A . 45
B. 64
\( c \cdot 54 \)
D. 32
Subject: Physics
Ratio of area of hole to beaker is 0.1
Height of liquid in beaker is \( 3 m, \) and
hole is at the height of \( 52.5 \mathrm{cm} \) from the
bottom of beaker, find the square of the velocity of liquid coming out from the hole:
\( \mathbf{A} \cdot 50(m / s)^{2} \)
B. \( 50.5(m / s)^{2} \)
c. \( 51(m / s)^{2} \)
D. \( 42(m / s)^{2} \)
Subject: Maths
Assertion
The variance of first \( n \) even natural
numbers is \( \frac{n^{2}-1}{4} \)
Reason
The sum of first \( n \) natural even
numbers is \( n(n+1) \) and the sum of
squares of first \( n \) natural numbers is \( \frac{n(n+1)(2 n+1)}{6} \)
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
If \( \boldsymbol{y}=\mathbf{s e c}^{-1}\left[\frac{\sqrt{\boldsymbol{x}}+\mathbf{1}}{\sqrt{\boldsymbol{x}}-\mathbf{1}}\right]+ \)
\( \sin ^{-1}\left[\frac{\sqrt{\boldsymbol{x}}-1}{\sqrt{\boldsymbol{x}}+1}\right] \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
\( A \)
в.
c.
D.
Subject: Physics
The time period of a simple harmonic motion is \( 8 s . \) At \( t=0, \) it is at its
equilibrium position. The ratio of distances transversed by it in the first and second seconds is:
A \( \cdot \frac{1}{\sqrt{2}} \)
в. \( \frac{1}{\sqrt{2}-1} \)
c. \( \frac{1}{\sqrt{3}} \)
D. \( \frac{1}{2} \)
Subject: Chemistry
Reduction of acetyl chloride with \( H_{2} \) in
presence of Pd and \( B a S O_{4} \) gives :
A. \( C H_{3} C O C H_{3} \)
в. \( C_{2} H_{5} O H \)
с. \( C H_{2} \) СООН
D. \( C H_{3} C H O \)
Subject: Maths
Evaluate the definite integral, \( \int_{-1}^{1} \frac{\left(x^{332}+x^{998}+4 x^{1668} \cdot \sin x^{691}\right)}{1+x^{666}} d x \)
A \( \cdot \frac{2}{333} \)
в. \( \frac{1}{333} \)
c. \( \frac{4}{33} \)
D. \( \frac{5}{333} \)
Subject: Physics
A stone of mass \( 10 \mathrm{kg} \) is lying at the bed of a lake 5 m deep. If the relative density
of the stone is \( 2, \) the amount of work
done to bring it to the top of the lake will
be
\( \mathbf{A} \cdot 250 J \)
B. \( 258 J \)
c. \( 345 J \)
D. \( 385 J \)
Subject: Chemistry
The value of E for elements are as
follows:
\( \boldsymbol{F} \boldsymbol{e}^{+\mathbf{2}}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{F} \boldsymbol{e} ; \boldsymbol{E}^{\boldsymbol{o}}=\mathbf{0 . 4 4} \boldsymbol{V} \)
\( \boldsymbol{F} \boldsymbol{e}^{+\mathbf{3}}+\mathbf{1} \boldsymbol{e} \rightarrow \boldsymbol{F} \boldsymbol{e}^{+\mathbf{2}} ; \boldsymbol{E}^{\boldsymbol{o}}=+\mathbf{0 . 7 7} \boldsymbol{V} \)
\( \boldsymbol{S} \boldsymbol{n}^{+\mathbf{4}}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{S} \boldsymbol{n}^{+2} ; \boldsymbol{E}^{\boldsymbol{o}}=+\mathbf{0 . 1 3} \boldsymbol{V} \)
\( \boldsymbol{I}_{2}+\boldsymbol{2} \boldsymbol{e} \rightarrow \boldsymbol{2} \boldsymbol{I} ; \boldsymbol{E}^{o}=+\mathbf{0 . 5 4} \boldsymbol{V} \)
\( \boldsymbol{C r}^{3+}+\boldsymbol{3} \boldsymbol{e} \rightarrow \boldsymbol{C r} ; \boldsymbol{E}^{o}=\mathbf{0 . 7 4} \boldsymbol{V} \)
Based on the above data correct
statements are:

This question has multiple correct options
A. Strongest reducing agent is \( C r^{3+} \)
B. Strongest oxidising agent is \( F e^{3} \)
\( \mathbf{c} \cdot S n^{+4} \) can oxidise \( I \)
D. \( S n^{+3} \) can oxidise \( I \)
Subject: Chemistry
Calculate the formula unit mass (u) of
NaCl:
\( [\boldsymbol{N} \boldsymbol{a}=\mathbf{2} \boldsymbol{3} \boldsymbol{u}, \boldsymbol{C l}=\mathbf{3 5 . 5 u}] \)
\( \mathbf{A} \cdot 54.5 u \)
B. \( 55.5 u \)
\( \mathbf{c} .56 .5 u \)
D. \( 58.5 u \)
Subject: Physics
If a man of mass Mjumps to the ground from a height \( h \) and his centre of mass
moves a distance \( x \) in the time taken
by him to 'hit' the ground, and the average force acting on him (assuming his retardation to be constant during his impact with the ground) is
A. \( M g h / x \)
в. \( M g x / h \)
c. \( M g(h / x)^{2} \)
D. \( M g(x / h)^{2} \)
Subject: Physics
An electric field is uniform, and in the
positive \( x \) direction for positive \( x, \) and uniform with the same magnitude but
in the negative \( x \) direction for negative
\( x . \) It is given that \( \boldsymbol{E}=\mathbf{2 0 0} \hat{\boldsymbol{i}} \boldsymbol{N} / \boldsymbol{C} \) for
\( \boldsymbol{x}>\mathbf{0} \) and \( \boldsymbol{E}=-\mathbf{2 0 0} \hat{\boldsymbol{i}} \boldsymbol{N} / \boldsymbol{C} \) for \( \boldsymbol{x}<\mathbf{0 . A} \)
right circular cylinder of length \( 20 \mathrm{cm} \)
and radius \( 5 \mathrm{cm} \) has its centre at the
origin and its axis along the \( x \) -xis so that one face is at \( x=+10 \mathrm{cm} \) and the
other is at \( x=-10 \mathrm{cm} \)
(a) What is the net outward flux through
each flat face?
(b) What is the flux through the side of the cylinder?
(c) What is the net outward flux through the side of the cylinder?
Subject: Chemistry
\( 1^{0}, 2^{0}, 3^{0} \) and \( 4^{0} \) carbon atoms are
present in :
A. 2, 2, 3-trimethyl pentane
B. 2, 3, 4-trimethyl pentane
\( c . \) both \( (A) \) and \( (B) \)
D. none of these
Subject: Physics
positions 'A' and 'B' starting at the same
time and reach the point 'C' (along
straight line) simultaneously when
wind was not blowing. On a windy day
they head towards 'C' but both reach the point 'D' simultaneously in the same
time which they took to reach 'C'. Then
the wind is blowing in
A. North-West direction
B. North-East direction
C. Direction making an angle \( 0<\theta<90^{\circ} \) (but not \( 45^{\circ} \)
with North towards West
D. North direction
Subject: Physics
Two batteries of emf \( 4 \mathrm{V} \) and \( 8 \mathrm{V} \) with
internal resistance \( 1 \Omega \) and \( 2 \Omega \)
respectively are connected to an
external resistance \( \mathrm{R}=9 \Omega \) as shown in
figure. The current in circuit and the
potential difference between \( \mathrm{P} \) and \( \mathrm{Q} \) respectively will be
A \( \cdot \frac{1}{2} A, 9 V \)
B \( \cdot \frac{1}{12} A, 12 V \)
c. \( \frac{1}{3} A, 3 V \)
D. \( \frac{1}{6} A, 4 V \)
Subject: Physics
Dimension of \( \frac{\text { magnetic flux }}{\text { electric flux }} \) are
\( \mathbf{A} \cdot\left[L T^{-1}\right] \)
B \cdot \( \left[T L^{-1}\right] \)
\( \mathbf{c} \cdot\left[L^{3} T^{2} A^{-2}\right] \)
D \cdot \( \left[L^{0} T^{0} A^{0}\right] \)
Subject: Physics
In the diagrams (i) to (iv) of variation of
volume with changing pressure is
shown. A gas is taken along the path
\( A B C D A \). The change in internal energy
of the gas will be
\( (\mathbf{i}) \)
\( (\text { iii }) \)
A. Positive in all cases (i) to (iv)
B. Positive in cases
(i), (ii) and
(iii) but zero in case (iv)
c. Negative in cases
(i), (ii) and
(iii) but zero in case (iv)
D. zero in all the four cases
Subject: Physics
A cube of wood supporting \( 200 g m \)
mass just in water \( (\rho=1 g / c c) . \) When
the mass is removed, the cube rises by \( 2 c m . \) The volume of cube is
A . \( 1000 c c \)
B. \( 800 c c \)
c. \( 500 c c \)
D. None of these
Subject: Biology
There are two opposing views about the origin of modern man. According to one view, Homo erectus in Asia was the
ancestor of modem man. A study of variations of DNA, however, suggested African origin of modern man. What
kind of observation on DNA variations
could suggest this
A. Greater variation in Asia than in Africa
B. Greater variation in Africa than in Asia
c. similar variation in Africa and Asia
D. Variation only in Asia and no variation in Africa
Subject: Maths
The rate of increase of length of the
shadow of a man 2 metres height, due
to a lamp at 10 metres height, when he is moving away from it at the rate of \( 2 m / s e c, \) is
A \( \cdot \frac{1}{2} \mathrm{m} / \mathrm{sec} \)
B. \( \frac{2}{5} \) m/sec
c. \( \frac{1}{3} \mathrm{m} / \mathrm{sec} \)
D. \( 5 m / s e c \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{x}+\boldsymbol{p}(\boldsymbol{0} \geq \boldsymbol{x} \geq \mathbf{2}) \)
where \( p \) is a constant. The value \( c \) of
mean value theorem is :
A \( \cdot \frac{\sqrt{3}}{2} \)
B. \( \frac{\sqrt{6}}{2} \)
c. \( \frac{\sqrt{3}}{3} \)
D. \( \frac{\sqrt{2}}{3} \)
E \( \cdot \frac{2 \sqrt{3}}{3} \)
Subject: Physics
A body of mass \( m \) is released from the
top of a rough inclined plane length \( l \). If the frictional force is \( f, \) and the height
of body from ground is \( h \) then the velocity of the body of the bottom in
\( \boldsymbol{m} \boldsymbol{s}^{-1} \) will be :
A \( \cdot \sqrt{\frac{2}{m}(m g h-f l)} \)
в. \( 2 g h-f / l \)
c. \( \sqrt{\frac{2}{m} g h} \)
D. zero
Subject: Maths
A cross section at the midpoint of the middle piece of a human sperm will
show
A. Centriole, mitochondria and \( 9+2 \) arrangement of microtubules
B. Centriole and mitochondria
c. Mitochondria and \( 9+2 \) arrangement of microtubules
D. 9+2 arrangement of microtubules only
Subject: Physics
A circular disc of mass \( M_{1} \) and radius
\( R, \) initially moving with a constant
angular speed \( \omega_{0} \) is gently placed coaxially on a stationary circular disc of
mass \( M_{2} \) and radius \( R \), as shown in
Figure. There is a frictionless force
between the two discs
f disc \( M_{2} \) is placed on a smooth surface, then determine the final
angular speed of each disc.
Subject: Physics
\( 0.1 m^{3} \) of water at \( 80^{0} C \) is mixed with
\( 0.3 m^{3} \) of water at \( 60^{0} \) C.The final
temperature of the mixture is
A \( \cdot 65^{\circ} \mathrm{C} \)
B . \( 70^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 60^{\circ} C \)
D . \( 75^{\circ} \mathrm{C} \)
Subject: Chemistry
For the reaction, \( A+B \rightleftharpoons 3 C, \) if \( ^{\prime} a^{\prime} \)
mole/litre of each 'A' \& 'B' are taken
initially then at equilibrium the incorrect relation is:
A \( \cdot[A]-[B]=0 \)
B . \( 3[B]+[C]=3 a \)
c. \( 3[A]+[C]=3 a \)
D . \( [A]+[B]=3[C] \)
Subject: Physics
A current carrying circular loop of radius R is placed in the \( x \) -y plane with centre at the origin. Half of the loop with \( x>0 \) is now bent so that it now lies in
the \( y-z \) plane.
A. The magnitude of magnetic moment now diminishes
B. The magnetic moment does not change.
C. The magnitude of \( \bar{B} \) at \( (0,0, z), z>>R \) increases
D. The magnitude of \( \bar{B} \) at \( (0,0, z), z>>R \) is unchanged.
Subject: Physics
A coil has 200 turns and area of \( 70 \mathrm{cm}^{2} \)
The magnetic field perpendicular to the plane of the coil is \( 0.3 W b / m^{2} \) and take
\( 0.1 \sec \) to rotate through \( 180^{\circ} . \) The value of the induced e.m.f. will be
A. \( 8.4 \mathrm{v} \)
B. 84
c. 42 v
D. 4.2 v
Subject: Chemistry
Among \( K O_{2}, A l O_{2}^{-}, B a O_{2} a n d N O_{2}^{+} \)
unpaired electron is present in:
A. \( N O_{2}^{+} \) and \( B a O_{2} \)
B. \( K O_{2} \) and \( A l O_{2}^{-} \)
c. \( K O_{2} \) only
D. \( B a O_{2} \) only
Subject: Maths
f \( \boldsymbol{I}=\int \frac{\boldsymbol{d} \boldsymbol{x}}{\left(\boldsymbol{e}^{\boldsymbol{x}}+\mathbf{2}\right)^{3}}, \) then I equals
A \( \cdot \frac{1}{8} x-\frac{1}{8} \log \left(e^{x}+2\right)+\frac{e^{x}+3}{4\left(e^{x}+2\right)^{2}}+C \)
B. \( \frac{1}{8} x+\frac{1}{8} \log \left(e^{x}+2\right)+\frac{e^{x}}{4\left(e^{x}+2\right)^{2}}+C \)
c. \( \frac{1}{8} x+\frac{1}{8} \log \left(e^{x}+2\right)+\frac{e^{x}}{\left(e^{x}+2\right)^{2}}+C \)
D. none of these
Subject: Physics
The nucleus of helium atom contains
two protons that are separated by distance \( 3.0 \times 10^{-15} \) m. The magnitude
of the electrostatic force that each
proton exerts on the other is:
A . \( 20.6 N \)
B. 25.6 N
c. \( 15.6 N \)
D. \( 12.6 N \)
Subject: Maths
The value of the definite integral \( \int_{0} \sqrt{\ln \left(\frac{\pi}{2}\right)} \cos \left(e^{x^{2}}\right) 2 x e^{x^{2}} d x \) is:
\( A \cdot 1 \)
B. \( 1+(\sin 1) \)
c. \( 1-(\sin 1) \)
D. \( (\sin 1)-1 \)
Subject: Chemistry
The freezing point of a 0.05 molal solution of non-electrolyte in water is:
\( \left[\boldsymbol{K}_{f}=\mathbf{1 . 8 6} \boldsymbol{K} \boldsymbol{m}^{-1}\right] \)
\( \mathbf{A} \cdot-1.86^{\circ} \mathrm{C} \)
B. \( -0.93^{\circ} \mathrm{C} \)
с. \( -0.093^{\circ} \mathrm{C} \)
и. \( -0.093^{\circ} \).
D. \( 0.093^{\circ} \mathrm{C} \)