AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Which one of the following statements
is true?
\( \mathbf{A} \cdot \operatorname{If} \lim _{x \rightarrow c} f(x) \cdot g(x) \) and \( \lim _{x \rightarrow c} f(x) \) exist, then \( \lim _{x \rightarrow c} g(x) \) exists.
\( \mathbf{B} \cdot \operatorname{If} \lim _{x \rightarrow c} f(x) \cdot g(x) \) exists, then \( \lim _{x \rightarrow c} f(x) \) and \( \lim _{x \rightarrow c} g(x) \) exist.
C. \( \operatorname{If} \lim _{x \rightarrow c} f(x)+g(x) \) and \( \lim _{x \rightarrow c} f(x) \) exist, then \( \lim _{x \rightarrow c} g(x) \) also
exists.
\( \mathbf{D} \cdot \operatorname{If} \lim _{x \rightarrow c} f(x)+g(x) \) exists, then \( \lim _{x \rightarrow c} f(x) \) and \( \lim _{x \rightarrow c} g(x) \) also
exist.
Subject: Biology
Which one of the following is the correct description of a certain part of a normal
human skeleton?
A. Parietal bone and the temporal bone and the skull are joined by fibrous joint
B. First vertebrae is axis, which articulates with the occipital condyles.
c. The sth and 10 th pairs of ribs are called the floating ribs
D. Glenoid cavity is a depression to which the thigh bone articulates
Subject: Physics
Two long parallel conductors carry currents of \( 12 \mathrm{A} \) and \( 8 \mathrm{A} \) respectively in the same direction. If the wires are 10
cm apart, find where the third parallel
wire also carrying a current must be
placed so that the force experienced by
it shall be zero. Answer in the form of
\( x \times 10^{-2} m . \) Find \( x \)
Subject: Physics
Two identical rods each of moment of
inertia \( ^{\prime} I^{\prime} \) about a normal axis through
centre are arranged in the from of a cross. The \( M . I . \) of the system about an
axis through centre and perpendicular
to the plane of system is:
A . \( 2 I \)
B. \( I \)
c. 2.5
D. \( 6 I \)
Subject: Physics
The rms value of the electric field of the
light coming from sun is \( 720 \mathrm{N} C^{-1} \). The
average total energy density of the electromagnetic wave is
в. \( 4.5810^{-6} \mathrm{Jm}^{-3} \)
c. \( 6.3710^{-9} \mathrm{Jm}^{-3} \)
D. \( 81.3510^{-12} \mathrm{Jm}^{-3} \)
Subject: Chemistry
Assertion
When \( 0.1 ~ M \) weak diprotic acid \( H_{2} A \) dissociates with its dissociation
constants \( \boldsymbol{K}_{\boldsymbol{a}_{1}}=\mathbf{1 0}^{-\mathbf{3}} \) and \( \boldsymbol{K}_{\boldsymbol{a}_{2}}=\mathbf{1 0}^{-\mathbf{8}} \)
then \( \left[A^{2-}\right] \) is almost equal to \( 10^{-3} M \)
Reason
\( \operatorname{since} K_{a_{2}} \ll K_{a_{1}} \) for \( 0.1 M H_{2} A, \) so
\( \left[\boldsymbol{A}^{2-}\right] \) is negligible \( \mathbf{w} . \mathbf{r . t .}\left[\boldsymbol{H} \boldsymbol{A}^{-}\right] \)
A. Both Assertion and Reason are correct and Reason 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
\( \boldsymbol{X} \boldsymbol{C l}_{2}(\boldsymbol{e} \boldsymbol{x} \boldsymbol{c e s s})+\boldsymbol{Y} \boldsymbol{C l}_{2} \longrightarrow \boldsymbol{X} \boldsymbol{C l}_{4}+ \)
\( \boldsymbol{Y} \downarrow \)
\( \boldsymbol{Y} \boldsymbol{O} \frac{\boldsymbol{\Delta}}{>400} \frac{1}{2} \boldsymbol{O}_{2}+\boldsymbol{Y} \)
Ore of \( Y \) would be:
A. Siderite
B. Malachite
c. Hornsilver
D. cinnabar
Subject: Chemistry
Consider the reactions.
a) \( C H_{3}-C H=C H_{2} \frac{(i) B H_{3} / T H F}{(i i) H_{2} O / O H} \)
\( \frac{P C C}{\left(i n C H_{2} C l_{2}\right)} B \)
b) \( C H_{3}-C H=C H_{2} \frac{(i) H g(O A c)_{2}}{(i i) N a B H_{4} \bar{O} H} \)
\( \boldsymbol{C} \frac{\boldsymbol{P C C}}{\left(\boldsymbol{i n} C \boldsymbol{H}_{2} C l_{2}\right)} \boldsymbol{D} \)
Product B and D are:
A. Functional isomers
B. Positional isomeress
c. chain isomeres
D. Metamers
Subject: Chemistry
Number of lone pairs around
phosphorus in \( \boldsymbol{P} \boldsymbol{C l}_{5}, \boldsymbol{P C l}_{4}^{+} \) and \( \boldsymbol{P C l}_{6}^{-} \)
are respectively
A. 0,1,2
B. 0,0,0
c. 1,2,3
\( \mathbf{D} \cdot 0,2,1 \)
Subject: Physics
\( ^{238} U \) decays with a half-life of \( 4.5 \times 10^{9} \)
years, the decay series eventually ending at \( ^{206} P b, \) which is stable. A rock sample analysis shows that the ratio of the number of atoms of \( ^{206} P b \) to \( ^{238} U \) is
\( 0.0058 . \) Assuming that all the \( ^{206} P b \) is
produced by the decay of \( ^{238} U \) and that all other half-lives on the chain are
negligible, the age of the rock sample is \( \left(\ln 1.0058=5.78 \times 10^{-3}\right) \)
A . \( 38 \times 10^{8} \) years
B. \( 38 \times 10^{6} \) years
C \( .19 \times 10^{8} \)years
D. \( 19 \times 10^{6} \) years
Subject: Physics
toppr
Q Type your question
is given by \( y=f(x-150 t) \) where \( x \) is in
meters and t is in seconds.

The pulse (y) is plotted as a function of
\( x \) for \( t=0 . \) Draw the pulse (in the panels
given)
(i) as a function of \( x \) for \( t=0.04 s \)
(ii) as a function of \( t \) for \( x=0 \)
A \( \cdot V=150 \mathrm{m} / \mathrm{s} ; \quad x=v t ; \quad x=150 \times \frac{4}{100}=6 \mathrm{cm} \)
B. \( V=120 \mathrm{m} / \mathrm{s} ; \quad x=v t ; \quad x=150 \times \frac{4}{100}=6 \mathrm{cm} \)
\( \mathrm{C} \cdot \mathrm{V}=150 \mathrm{m} / \mathrm{s} ; \quad x=v t ; x=120 \times \frac{4}{100}=6 \mathrm{cm} \)
\( V=150 m / s ; \quad x=v t ; x=150 \times \frac{4}{100}=5 \mathrm{cm} \)
Subject: Physics
A ball is allowed to fall from a height of
\( 10 \mathrm{m} . \) If there is \( 40 \% \) loss of energy due to impact, then after one impact ball will go upto:
A. \( 10 m \)
B. \( 8 m \)
\( c .4 m \)
D. \( 6 m \)
Subject: Physics
The magnetic field intensity due to a magnet is \( \frac{100}{4 \pi} \mathrm{A} / \mathrm{m} \). The induction field strength due to it is :
\( \mathbf{A} \cdot 1 \times 10^{-5} T \)
в. \( \frac{4 \pi}{10^{3}} T \)
c. \( \frac{10^{3}}{4 \pi} \times 100 T \)
D. \( \frac{10^{-5}}{4 \pi} T \)
Subject: Maths
When a bucket is half full, the weight of
the bucket and the water is 10 kg. When the bucket is two-thirds full, the total
weight is 11 kg. What is the total weight, in kg, when the bucket is completely full?
A . 12
в. \( 12 \frac{1}{2} \)
\( c \cdot_{12} \frac{2}{3} \)
D. 13
Subject: Chemistry
Identity the compound in which
phosphorus exists in the oxidation
state of +1
A. Phosphonic acid \( \left(H_{3} P O_{3}\right) \)
B. Phosphinic acid \( \left(H_{3} P O_{2}\right) \)
C. Pyrophosphorus acid \( \left(H_{4} P_{2} O_{5}\right) \)
D. Orthophosphoric acid \( \left(H_{3} P O_{4}\right) \)
Subject: Chemistry
\( \mathbf{N O}_{2} \) can not be obtained by heating:
A. KNO
\( \mathrm{B} \cdot \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} \)
c. \( \mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2} \)
D. \( \mathrm{Hg}\left(\mathrm{NO}_{3}\right)_{2} \)
Subject: Biology
Assertion
Antheridia of Funaria are sunk in pit.
Reason
Its antheridial cluster is surrounded by
perigoniai leaves
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the
reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
Subject: Maths
Suppose for a differentiable function
\( \boldsymbol{f}, \boldsymbol{f}(\mathbf{0})=\mathbf{0}, \boldsymbol{f}(\mathbf{1})=\mathbf{1}, \boldsymbol{f}^{\prime}(\mathbf{0})=\mathbf{4}= \)
\( \boldsymbol{f}^{\prime}(\mathbf{1}) \)
If \( g(x)=f\left(e^{x}\right) e^{f(x)}, \) then \( g^{\prime}(0) \) is equal
to
A .4
B. 8
\( c \cdot 2 \)
D.
Subject: Physics
Two coils each of 100 turns are held
such that one lies in vertical plane and the other in the horizontal plane with
their centers coinciding. The radius of
the vertical coil is \( 0.20 m \) and that of the
horizontal coil is 0.30 m. How will you
neutralize the magnetic field of the earth at their common center? If the
summation of current to be passed
through each coil is \( i_{\text {total}}=x A . \) Find
\( x^{*} 10 \)
Horizontal component of earth's magnetic field \( =0.35 \times 10^{-4} T \) and
angle of \( \operatorname{dip}=30^{\circ} \)
Subject: Maths
If \( \boldsymbol{\alpha} \neq \boldsymbol{\beta}, \boldsymbol{\alpha}^{2}=\mathbf{5} \boldsymbol{\alpha}-\mathbf{3}, \boldsymbol{\beta}^{2}=\mathbf{5} \boldsymbol{\beta}-\mathbf{3} \)
then the equation whose roots are \( \boldsymbol{\alpha} / \boldsymbol{\beta} \)
\( \& \boldsymbol{\beta} / \boldsymbol{\alpha} \) is
A \( \cdot x^{2}+5 x-3=0 \)
B. \( 3 x^{2}+12 x+3=0 \)
c. \( 3 x^{2}-19 x+3=0 \)
D. None of these
Subject: Maths
The differential equation for the family of curves \( x^{2}-y^{2}+2 a x=0, \) where \( a \) is
an arbitrary constant is:
A \( \cdot\left(x^{2}-y^{2}\right)=2 x y y^{\prime} \)
B . \( x^{2}-y^{2}=-2 x y . y^{\prime} \)
c. \( \left(x^{2}+y^{2}\right) y^{\prime}=2 x y \)
D. \( x^{2}+y^{2}=2 x y . y^{\prime} \)
Subject: Maths
Which of the following sets of side lengths will not form a triangle?
A. \( 11 \mathrm{cm}, 10 \mathrm{cm}, 11 \mathrm{cm} \)
в. \( 3 \mathrm{m}, 3 \mathrm{m}, 3 \mathrm{m} \)
\( \mathbf{c} .9 \mathrm{mm}, 9 \mathrm{mm}, 12 \mathrm{mm} \)
D. \( 3 \mathrm{cm}, 4 \mathrm{cm}, 7 \mathrm{cm} \)
Subject: Maths
The value of \( \tan \left\{\frac{1}{2} \cos ^{-1}\left(\frac{\sqrt{5}}{3}\right)\right\} \) is
A \( \cdot \frac{3+\sqrt{5}}{2} \)
B. \( 3+\sqrt{5} \)
c. \( \frac{1}{2}(3-\sqrt{5}) \)
D. None of these
Subject: Maths
A vector \( a \) is collinear with vector \( b= \) \( \left(6,-8,-\frac{15}{2}\right) \) and make an acute
angle with the positive direction of \( z^{-} \) axis. If \( |a|=50, \) then \( a= \)
в. (24,-32,30)
c. (-24,32,30)
D. None of these
Subject: Chemistry
What type of isomerism is exhibited by \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H} \boldsymbol{O} \) and \( \boldsymbol{C} \boldsymbol{H}_{3}-\underset{\boldsymbol{O}}{\boldsymbol{V}}- \)
\( \boldsymbol{C H}_{3} \)
Subject: Chemistry
In the titration of ferrous ammonium
sulphate and potassium dichromate, the external indicator used is:
A. \( K C N S \)
в. \( N H_{4} C N S \)
c. \( K_{3}\left[F e(C N)_{6}\right] \)
D. \( K_{4}\left[F e(C N)_{6}\right] \)
Subject: Maths
The differential coefficient of
\( a^{\log _{10}\left(\operatorname{cosec}^{-1} x\right)} \) is
A \( \cdot \frac{a^{\log _{10}\left(\operatorname{cosec}^{-1} x\right)}}{[\operatorname{cosec}]^{-1} \mathrm{x}} \frac{1}{\mathrm{x} \sqrt{\mathrm{x}^{2}-1}} \log _{10} \mathrm{a} \)
\( ^{\mathrm{B}}-\frac{a^{\log _{10}\left(\operatorname{cosec}^{-1} x\right)}}{[\operatorname{cosec}]^{-1} \mathrm{x}} \frac{1}{|x| \sqrt{\mathrm{x}^{2}-1}} \log _{10} \mathrm{a} \)
\( ^{\mathbf{C}} \cdot \frac{a^{\log _{10}\left(\operatorname{cosec}^{-1} x\right)}}{[\operatorname{cosec}]^{-1} \mathbf{x}} \frac{1}{|x| \sqrt{\mathrm{x}^{2}-1}} \log _{\mathrm{a}} 10 \)
D. \( \frac{a^{\log _{10}\left(\operatorname{cosec}^{-1} x\right)}}{[\operatorname{cosec}]^{-1} \mathrm{x}} \frac{1}{\mathrm{x} \sqrt{\mathrm{x}^{2}-1}} \log _{\mathrm{a}} 10 \)
Subject: Chemistry
Which has the highest entropy per mol of the substance?
A \( . H_{2} \) at \( 25^{\circ} \mathrm{C} \) and 1 atm
B. \( H_{2} \) at STP
C. \( H_{2} \) at \( 100 \mathrm{K} \) and \( 1 \mathrm{atm} \)
\( D \cdot H_{2} \) at \( 0 \mathrm{K} \) and 1 atm
Subject: Maths
AD is the bisector of \( \angle A \) of
\( \Delta A B C, A C=4.2 c m, D C= \)
\( 6 c m, B C=10 c m, \) then \( A B \) is:
\( \mathbf{A} \cdot 2.8 \mathrm{cm} \)
B. 3 cm
\( \mathrm{c} .3 .5 \mathrm{cm} \)
D. none of these
Subject: Biology
Read the following statements \( (A-E) \)
and answer the question which follows them.
(A) In liverworts, mosses, and ferns
gametophytes are free-living.
(B) Gymnosperms and some ferns are heterosporous.
(C) Sexual reproduction in Fucus, Volvox and Albugo is oogamous.
(D) The sporophyte in liverworts is more
elaborate than that is mosses.
(E) Both, Pinus and Marchantia are
dioecious.
How many of the above statements are
correct?
A. One
B. Two
c. Three
D. Four
Subject: Chemistry
\( M n O_{4}^{2-} \) changes to \( M n O_{2} \) into \( M n O_{4}^{-} \) in acidic medium. Calculate equivalent
weight of \( M n O_{4}^{2-} \)
\( \mathbf{A} \cdot 1 M \)
B. \( \frac{1}{2} M \)
\( c \cdot \frac{3}{2} M \)
D. \( 3 M \)
Subject: Physics
Two open organ pipes of fundamental
frequencies \( n_{1} \) and \( n_{2} \) are joined in series. The fundamental frequency of the new pipe so obtained will be:
A \( \cdot n_{1}+n_{2} \)
в. \( \frac{n_{1} n_{2}}{n_{1}+n_{2}} \)
c. \( n_{1}+\frac{n_{2}}{2} \)
D. None of the above
Subject: Chemistry
For \( \boldsymbol{X} \boldsymbol{Y}_{\mathbf{2}(\boldsymbol{g})} \rightleftharpoons \boldsymbol{X} \boldsymbol{Y}_{(\boldsymbol{g})}+\boldsymbol{Y}_{(\boldsymbol{g})}, \) intially 1
mole each of \( X Y_{2} \) and \( y \) are present in
10L flask at 500mm.lf the equilibrium
pressure of \( \mathrm{XY} \) is \( 150 \mathrm{mm}, K_{p} \) is?
A. \( 500 \mathrm{mm} \mathrm{mg} \)
B. \( \sqrt{500} \mathrm{mm} \) нв
c. \( 300 \mathrm{mm} \) Hg
D. 600mm Hg
Subject: Physics
The period of a particle in SHM is 8
seconds. At \( t=0 \) it is at the mean
position. The ratio of the distance traveled by it in the 1 st and the 2nd seconds is
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{\sqrt{2}} \)
\( c \cdot \sqrt{2} \)
D. \( \sqrt{2}+1 \)
Subject: Chemistry
The pair of compounds which cannot exist together in aqueous solution is:
A. \( N a_{2} C O_{3} \) and \( N a H C O_{3} \)
в. \( N a H C O_{3} \) and \( N a O H \)
c. \( N a O H \) and \( N a H_{2} P O_{4} \)
D. Both (B) and (C)
Subject: Chemistry
Bond angle in \( H_{2} O\left(104.5^{\circ}\right) \) is higher
than the bond angle of \( H_{2} S\left(92.1^{\circ}\right) . \) The
difference is due to:
A. 0 is diatomic and \( S \) is tetra-atomic
B. difference in electronegativity of S and 0
c. difference in oxidation states of S and 0
D. difference in shapes of hybrid orbitals of S and
Subject: Chemistry
The standard reduction potential of \( \boldsymbol{C u}^{2+} / \boldsymbol{C u} \) couple is \( \mathbf{0 . 3 4} \mathrm{V} \) at \( \mathbf{2 5}^{\mathbf{0}} \mathrm{C} \)
Calculate the reduction potential at
\( \boldsymbol{p} \boldsymbol{H}=\mathbf{1 4} \) for this couple.
\( \operatorname{Given} \boldsymbol{K}_{s p} \) of \( \boldsymbol{C u}(\boldsymbol{O H})_{2}=\mathbf{1 . 0} \times \mathbf{1 0}^{-\mathbf{1 8}} \mathbf{)} \)
Subject: Biology
Figure \( P \) represents the reproductive
organs of Chara plant and figure \( Q \)
represents the reproductive organs of
earthworm. Select the option which
correctly identifies male reproductive organs of the two organisms.
\( \mathbf{A} \cdot A \) and \( D \)
\( B . B \) and \( C \)
\( \mathbf{c} . A \) and \( C \)
\( D . B \) and \( D \)
Subject: Maths
Area bounded by curve \( x\left(x^{2}+p\right)= \)
\( \boldsymbol{y}-\mathbf{1} \) with \( \boldsymbol{y}=\mathbf{1} \boldsymbol{p}<\mathbf{0} \) is
A \( \cdot \frac{p^{2}}{4} \)
в. \( \frac{p}{2} \)
c. \( \frac{p^{2}}{2} \)
D. \( \frac{p}{4} \)
Subject: Chemistry
Which of the following is not the
consequence of \( \boldsymbol{H} \) -bonding?
A. Glycerol is more soluble in water than ethanol
B. Boiling point of \( C_{2} H_{5} O H \) is higher than \( C H_{3}-O- \)
\( C H_{3} \)
C. p-nitrophenol has higher boiling point than onitrophenol
D. \( H C l \) is water soluble due to \( H \) -bonding.
Subject: Maths
If \( a<b<c<d, \) then for any real non-
zero \( \lambda \), the quadratic equation \( (x- \)
\( a)(x-c)+\lambda(x-b)(x-d)=0 \) has
This question has multiple correct options
A. Non-real roots
B. One real root between \( a \) and \( c \).
c. one real root between \( b \) and \( d \)
D. Irrational roots.
Subject: Maths
The side of an equilateral triangle is 'a'
units and is increasing at the rate of \( \lambda \) units /sec. The rate of increase of its
area is
A \( \cdot \frac{2}{\sqrt{3}} \lambda a \)
в. \( \sqrt{3} \lambda a \)
c. \( \frac{\sqrt{3}}{2} \lambda a \)
D. none of these
Subject: Maths
If \( I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x, \) then
\( \frac{1}{I_{2}+I_{4}}, \frac{1}{I_{3}+I_{5}}, \frac{1}{I_{4}+I_{6}}, \dots \) are in
A. A.P
B. G.P.
c. н.P
D. none
Subject: Maths
In a triangle \( A B C, \) right angled at the
vertex \( A, \) if the position vectors \( A, B \) and \( C \) are respectively \( 3 \tilde{i}+\tilde{j}-\tilde{k},-\tilde{i}+ \) \( \mathbf{3} \tilde{j}+p \tilde{k} \) and \( 5 \tilde{i}+q \tilde{j}-4 \tilde{k}, \) then the
point \( (p, q) \) lies on a line
A. makeing an obtuse angle with the positive direction of \( x- \) axis
B. Parallel to \( x- \) axis
c. Parallel to \( y- \) axis
D. making an acute angle with the positive direction of \( x-a x i s \)
Subject: Physics
Two small identical metal balls \( A \) and
\( B \) of radius ' \( r^{\prime} \) are placed apart. The
distance between centre of balls is 'a \( _{0} \).
The net potential of ball \( A \) is \( V_{1} \) and that
of \( B \) is \( V_{2} . \) Let \( q_{1} \) and \( q_{2} \) are the charges
on balls \( A \) and \( B \) respectively. Then the
charges on \( A \) and \( B \) are \( \left(\operatorname{given} r<<a_{0}\right) \)
A \( \cdot q_{1}=4 \pi \varepsilon_{0} \frac{a_{0} r\left(V_{1} a_{0}-V_{2} r\right)}{a_{0}^{2}-r^{2}} \)
B. \( \quad q_{1}=4 \pi \varepsilon_{0} \frac{a_{0} r\left(V_{1} a_{0}+V_{2} r\right)}{a_{0}^{2}+r^{2}} \)
\( ^{\mathbf{C}} \cdot_{q_{2}}=4 \pi \varepsilon_{0} \frac{a_{0} r\left(V_{1} a_{0}+V_{2} r\right)}{a_{0}^{2}+r^{2}} \)
D. \( _{q_{2}}=4 \pi \varepsilon_{0} \frac{a_{0} r\left(V_{1} a_{0}-V_{2} r\right)}{a_{0}^{2}-r^{2}} \)
Subject: Biology
Assertion
The concentration of pollutants in water or atmosphere is often expressed in terms of ppm.
Reason
Concentration in parts per million can be expressed as mass to mass, volume
to volume and mass to volume
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
A sinusoidal voltage \( V=200 \sin 314 t \) is
applied to a \( 10 \Omega \) resistor. Find power dissipated as heat.
\( \mathbf{A} .500 W \)
в. \( 1000 \mathrm{W} \)
c. \( 2000 W \)
D. 3000W
Subject: Chemistry
The standard half cell reduction
potential for \( A g^{+} \mid A g \) is \( 0.7991 V \) at
\( 25^{\circ} \mathrm{C} . \) Given that the experimental value
of \( \boldsymbol{K}_{s p}=\mathbf{1 . 5 6} \times \mathbf{1 0}^{-\mathbf{1 0}} \) for \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
calculate the standard half cell
reduction potential for the \( \boldsymbol{A} \boldsymbol{g} \mid \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
electrode.
A \( .0 .2192 V \)
В. \( -0.2192 \mathrm{V} \)
c. \( -1.2192 \mathrm{V} \)
D. \( 1.219 V \)
Subject: Maths
In a right angled triangle, if the square of the hypotenuse is twice the product of the other two sides, then one of the
angles of the triangle is:
A \( \cdot 15^{\circ} \)
B . \( 30^{\circ} \)
\( c \cdot 45^{\circ} \)
D. \( 60^{\circ} \)
Subject: Physics
The diagram shows a pump connected
to a glass jar. The volume of the glass jar is \( 400 \mathrm{cm}^{3} \) and it is filled with air.
When the piston is pushed in completely, \( 50 \mathrm{cm}^{3} \) of air is forced into
the jar. What is the final volume of air in the
jar?
\( \mathbf{A} \cdot 50 \mathrm{cm}^{3} \)
В. \( 100 \mathrm{cm}^{3} \)
c. \( 400 \mathrm{cm}^{3} \)
D. \( 450 \mathrm{cm}^{3} \)
Subject: Maths
If \( 2\left[\begin{array}{ll}1 & 3 \\ 0 & x\end{array}\right]+\left[\begin{array}{ll}y & 0 \\ 1 & 2\end{array}\right]=\left[\begin{array}{ll}5 & 6 \\ 1 & 8\end{array}\right], \) then
the value of \( x \) and \( y \) are
A \( . x=3, y=3 \)
в. \( x=-3, y=3 \)
c. \( x=3, y=-3 \)
D. \( x=-3, y=-3 \)
Subject: Maths
The lines \( 3 x-4 y=4 \) and \( 6 x-8 y- \)
\( \mathbf{7}=\mathbf{0} \) are tangents to the same circle. Then is radius is ?
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{3}{4} \)
D. \( \frac{3}{2} \)
Subject: Maths
The real values of \( a \) for which the
quadratic equation \( 2 x^{2}-\left(a^{3}+8 a-\right. \)
1) \( x+a^{2}-4 a=0 \) possesses roots of opposite signs are given by :
\( \mathbf{A} \cdot a>6 \)
B . \( a>9 \)
c. \( 0<a<4 \)
D. \( a<0 \)
Subject: Maths
If \( (\cos x)^{y}=(\sin y)^{x} \) then \( \frac{d y}{d x}= \)
A \( \cdot \frac{\log (\sin y)+y \tan x}{\log (\cos x)-x \cot y} \)
B. \( \frac{\log (\sin y)-y \tan x}{\log (\cos x)+\cot y} \)
c. \( \log (\sin y) \)
D. \( \frac{\log (\cos x)}{\log (\sin y)} \)
Subject: Chemistry
Assertion
Chlorine reacts more rapidly with \( \boldsymbol{H}_{2}, \) in
comparision to \( \boldsymbol{O}_{\mathbf{2}} \)
Reason
\( D-C l \) bond is stronger in comparison
to \( H-C l \) bond
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
\( \boldsymbol{C H}_{3} \boldsymbol{M} \boldsymbol{g} \boldsymbol{X}^{C \boldsymbol{H}_{3}} \stackrel{C O O C_{2} \boldsymbol{H}_{5}}{\boldsymbol{A}} \stackrel{N a}{\rightarrow} \boldsymbol{B}^{C_{2}} \frac{\boldsymbol{H}_{5} \boldsymbol{O H}}{\longrightarrow} \)
\( C \)
Here, \( C \) is :
A \( \cdot C_{2} H_{5} O C_{2} H_{5} \)
в. \( C H_{3} \) СООС\( _{2} \) Нь
c. \( C H_{3} C O O C H_{3} \)
D. \( \left(C H_{3}\right)_{3} C O C_{2} H_{5} \)
Subject: Physics
Assertion
A beam of light rays has been reflected
from a rough surface.
Reason
Amplitude of incident and reflected rays
would be different.
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
Figure shows two blocks in contact
sliding down an inclined surface of
inclination \( 30^{\circ} . \) The friction coefficient
between the block of mass \( 2.0 \mathrm{kg} \) and
the incline is \( \mu_{1}=0.20 \) and that
between the block of mass \( 4.0 \mathrm{kg} \) and
the incline \( \mu_{2}=0.30 . \) is Find the
acceleration of \( 2.0 \mathrm{kg} \) block. \( (\mathrm{g}= \) \( \left.10 m / s^{-2}\right) \)
A \( \cdot 2.7 m / s^{2} \)
B \( .2 .2 m / s^{2} \)
\( \mathrm{c} \cdot 3.7 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 3.2 m / s^{2} \)
Subject: Physics
A pulse of light of duration 100 ns is
absorbed completely by a small object initially at rest. Power of the pulse is
\( 30 m W \) and the speed of light \( 3 x \)
\( 10^{8} m / s . \) The final momentum of the
object is
В . \( 1.0 \times 10^{-17} \mathrm{kg} \mathrm{ms}^{-1} \)
c. \( 3 \times 10^{-17} k g m s^{-1} \)
D. \( 9.0 \times 10^{-17} \) в \( g \) ms \( ^{-1} \)
Subject: Physics
A force acts on a \( 3 g \) particle in such a
way that position of the particle as a function of time is given by \( \boldsymbol{x}=\mathbf{3} \boldsymbol{t}- \)
\( 4 t^{2}+t^{3}, \) where \( x \) is in metre and \( t \) is in
sec. The work done during the first \( 4 s \) is
A. 570 mJ
B. 450 mJ
c. \( 490 \mathrm{mJ} \)
D. 528 mJ
Subject: Chemistry
The reaction of \( K M n O_{4} \) and \( \mathrm{HCl} \)
results in
A. Oxidation of \( \mathrm{Mn} \) in \( \mathrm{KMnO}_{4} \) and production of \( \mathrm{Cl}_{2} \)
B. Reduction of Mn in \( K M n O_{4} \) and production of \( H_{2} \)
C. Oxidation of \( \mathrm{Mn} \) in \( \mathrm{KMnO}_{4} \) and production of \( \mathrm{H}_{2} \)
D. Reduction of Mn in \( K M n O_{4} \) and production of \( C l_{2} \)
Subject: Chemistry
The heat of combustion of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) at
constant pressure and \( 300 K \) is \( -280 \mathrm{kJ} \)
\( \operatorname{mol}^{-1} \)
What will be the heat of combustion at
constant volume and \( 300 K ? \)
A. \( \Delta U=- \) -276.2587 k
B. \( \Delta U=+276.2587 \mathrm{kJ} \)
c. \( \Delta U=-27.63 \mathrm{kJ} \)
D. None of these