AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Aqueous solutions of magnesium
chloride and silver nitrate are mixed to
form solid silver chloride and aqueous
magnesium nitrate.The balanced net ionic equation contains which of the
following terms?
\( \mathbf{A} \cdot A g_{(a q)}^{+} \)
B. \( M g_{(a q)}^{2+} \)
c. \( N O_{3(a q)}^{-} \)
D. \( 2 N O_{3(a q)}^{-} \)
E \( .3 A g C l_{s} \)
Subject: Chemistry
Assertion
In case of aryl halides, halogens are
moderately deactivating
Reason
Halogens are ortho, para directing
groups.
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
One end of uniform wire of length \( L \) and
of weight \( W \) is attached rigidly to a
point in the roof and a weight \( W_{1} \) is
suspended from its lower end. If \( s \) is the
area of cross section of the wire, the
stress in the wire at a height \( (3 L / 4) \) from its lower end is
\( A \cdot \frac{W_{1}}{S} \)
в. \( \left[W_{1}+\frac{W}{4}\right] / S \)
\( \frac{\left[W_{1}+\frac{3 W}{4}\right]}{S} \)
D. \( \frac{W_{1}+W}{S} \)
Subject: Maths
In the given figure, if area of parallelogram \( A B E F \) is \( 96 \mathrm{cm}^{2} ; \) state
giving reason, the area of parallelogram
\( A B C D \)
\( \mathbf{A} \cdot 96 \mathrm{cm}^{2} \)
B. \( 86 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 76 \mathrm{cm}^{2} \)
\( \mathrm{D} \cdot 36 \mathrm{cm}^{2} \)
Subject: Physics
A mass \( m \) is placed on an inclined
plane. If the mass is in equilibrium, the maximum inclination of the plane with
horizontal would be
\( A \cdot \tan ^{-1} \mu \)
B. \( \tan ^{-1} \mu / 2 \)
\( \mathbf{c} \cdot \tan ^{-1} 2 / \mu \)
\( \mathbf{D} \cdot \cot ^{-1} \mu \)
Subject: Maths
Evaluate the following determinant:
\( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{h} & \boldsymbol{g} \\ \boldsymbol{h} & \boldsymbol{b} & \boldsymbol{f} \\ \boldsymbol{g} & \boldsymbol{f} & \boldsymbol{c}\end{array}\right| \)
Subject: Chemistry
A constant temperature, the
equilibrium constant \( \left(\boldsymbol{K}_{\boldsymbol{p}}\right) \) for the
decomposition reaction \( N_{2} O_{4} \rightleftharpoons 2 N O_{2} \)
is expressed by \( \boldsymbol{K}_{\boldsymbol{p}}=\left(\boldsymbol{4} \boldsymbol{x}^{2} \boldsymbol{p}\right) /\left(1-\boldsymbol{x}^{2}\right) \)
where \( p= \) pressure and \( x= \) extent of
decomposition. Which one of the following statements is true?
A. \( K_{p} \) increases with increase in \( \mathrm{p} \)
B. \( K_{p} \) increases with increase in \( x \)
C. \( K_{p} \) increases with decrease in \( x \)
D. \( K_{p} \) remains constant with change in p and \( x \)
Subject: Physics
A long solenoid of diameter 0.1 m has
\( 2 \times 10^{4} \) turns per metre.At the centre of
the solenoid, a coil of 100 turns and
radius \( 0.01 m \) is placed with its axis coinciding with the solenoid axis.The
current in the solenoid reduces at a
constant rate to \( 0 A \) from \( 4 A \) in 0.05 s.
If the resistance of the coil is \( 10 \pi^{2} \Omega \)
the total charge flowing through the coil during this time is.
\( \mathbf{A} \cdot 32 \pi \mu C \)
B. \( 16 \mu C \)
c. \( 32 \mu C \)
D. \( 16 \pi \mu C \)
Subject: Maths
The area of a square field is \( 30 \frac{1}{4} m^{2} \) Calculate the length of the side of the
square.
A \( \cdot_{5} \frac{1}{3} m \)
в. \( _{5} \frac{1}{2} m \)
c. \( _{5} \frac{2}{5} m \)
D. \( _{5} \frac{1}{4} m \)
Subject: Chemistry
(a) Account for the following:
(i) \( H_{2} O \) is a liquid while \( H_{2} S \) is a
gas.
(ii) Noble gases have very low boiling points.
(iii) \( N O_{2} \) dimerises to \( N_{2} O_{4} \)
(b) (i) What are interhalogen compounds?
(ii) Suggest any two examples on interhalogen compounds.
Subject: Physics
The field created by the current in the
bop at point \( C \) will be
\( A \cdot-\frac{\mu_{0}}{4 \pi} \hat{k} \)
B. \( -\frac{\mu_{0}}{8 \pi} \)
c. \( -\frac{\mu_{0} \sqrt{2}}{\pi} \)
D. non
Subject: Maths
The greatest value of the term independent of \( x, \) as \( \alpha \) varies over \( R \) in
the expansion of \( \left(x \cos \alpha+\frac{\sin \alpha}{x}\right) \) is
B. \( ^{20} C_{19} \)
c. \( 20 C_{6} \)
D. \( ^{20} C_{6}\left(\frac{1}{2}\right)^{10} \)
Subject: Physics
Which of the following charges is/are impossible?
A \( \cdot 4.8 \times 10^{-18} \mathrm{C} \)
B . \( 5.8 \times 10^{-18} \mathrm{C} \)
c. \( 12.8 \times 10^{-18} \mathrm{C} \)
D . \( 20.8 \times 10^{-18} \mathrm{C} \)
Subject: Physics
An ice of mass \( 0.1 \mathrm{kg} \) at \( 0^{0} \mathrm{C} \) is placed in an isolated container which is at
\( 227^{0} C . \) The specific heat \( S \) of the container varies with temperature \( T \) according to the empirical relation \( \boldsymbol{S}= \) \( A+B T, \) where \( A=100 c a l / k g \) K and
\( B=2 \times 10^{-2} c a l / k g K^{2} . \) If the final
temperature of the container is \( 27^{0} C \) the mass of the container is (Latent heat of fusion of water \( =8 \times 10^{4} \mathrm{cal} / \mathrm{kg} \)
the specific heat of water \( =10^{3} \mathrm{cal} / \mathrm{kg} \mathrm{K} \)
A. \( 0.495 \mathrm{kg} \)
в. \( 0.595 \mathrm{kg} \)
c. \( 0.695 \mathrm{s} \) g
D. \( 0.795 k g \)
Subject: Chemistry
When \( \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \) is converted into
\( \mathrm{K}_{2} \mathrm{Cr} \mathrm{O}_{4}, \) the change in oxidation number of Cr is
A .
B. 6
\( c \cdot 4 \)
D. 3
Subject: Physics
Average power developed in time \( t \) due to the decay of the radionuclide is
A \( \cdot\left(\frac{q_{0} t}{2}-\frac{q_{0}}{\lambda}+\frac{q_{0}}{\lambda^{2} t}-\frac{q_{0}}{\lambda^{2} t} e^{-\lambda t}\right) E_{0} \)
B. \( \left(\frac{q_{0} t}{2}+\frac{q_{0}}{\lambda}+\frac{q_{0}}{\lambda^{2} t}-\frac{q_{0}}{\lambda^{2} t} e^{-\lambda t}\right) E_{0} \)
c. \( \left(\frac{q_{0} t}{2}-\frac{q_{0}}{\lambda}+\frac{q_{0}}{\lambda^{2} t}+\frac{q_{0}}{\lambda^{2} t} e^{-\lambda t}\right) E_{0} \)
D. \( \left(\frac{q_{0} t}{2}+\frac{q_{0}}{\lambda}+\frac{q_{0}}{\lambda^{2} t}+\frac{q_{0}}{\lambda^{2} t} e^{-\lambda t}\right) E_{0} \)
Subject: Chemistry
Which energy state of a doubly ionized
lithium \( \left(L i^{++}\right) \) has the same energy as
that of the ground state of hydrogen \( z=3, \) for lithium):
\( \mathbf{A} \cdot n=1 \)
B. \( n=2 \)
\( \mathbf{c} \cdot n=3 \)
D. \( n=4 \)
Subject: Chemistry
Represent the galvanic cell in which the reaction takes place. \( \boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})+\boldsymbol{C u}^{2+}(\boldsymbol{a q}) \rightarrow \boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{a q})+ \)
\( \boldsymbol{C u}(\boldsymbol{s}) \)
Subject: Physics
The self inductance of the motor of an
electric fan is \( 10 \mathrm{H} \). In order to impart
maximum power at \( 50 H z \), it should be
connected to a capacitance of
A \( .4 \mu F \)
в. \( 8 \mu F \)
\( \mathrm{c} \cdot 1 \mu F \)
D. \( 2 \mu F \)
Subject: Maths
A shopkeeper buys 15 identical articles for Rs. 840 and pays sales-tax at the rate of \( 8 \% . \) He sells 6 of these articles at
Rs. 65 each and charges sales-tax at the same rate. Calculate the VAT paid by the shopkeeper against the sale of these six articles.
A . \( R s 4.32 \)
в. \( R s 0 \)
c. \( R s 12 \)
D. Rs1.12
Subject: Physics
with each other with the help of a
massless spring of spring-constant \( k \)
Mass \( M_{1} \) is in contact with a wall and
the system is at rest on the frictionless
floor. \( M_{2} \) is displaced by distance \( x \)
to compress the spring and released.
The velocity of COM (centre of mass) of
the system when \( M_{1} \) is detached from
wall is :
\( \mathbf{A} \cdot \frac{x \sqrt{k M_{1}}}{M_{1}+M_{2}} \)
B. \( \frac{x \sqrt{k M_{2}}}{M_{1}+M_{2}} \)
c. \( \frac{k x \sqrt{M_{2}}}{M_{1}+M_{2}} \)
D. \( \frac{x}{\sqrt{k M_{1}}\left(M_{1}-M_{2}\right)} \)
Subject: Physics
A gas in a flexible container initially has volume of 320 L. If we decrease the
pressure of the gas from 4.0 atm to 1.0 atm and decrease the temperature form 273 degrees Celsius to 0 degrees Celsius, what is the new volume of the
gas?
A. \( 0 L \)
B. 320 L
\( c \cdot 160 L \)
D. 640 L
E. 80
Subject: Chemistry
The IUPAC name of the compound is:
\[
\mathrm{CH}_{3}-\mathrm{CH}-\mathrm{CH}-\mathrm{CH}_{2} \mathrm{NH}_{2}
\]
A. 2,3 -dimethylbutan-4-amine
B. 2, 4- dimethylbutan-1-amine
c. 2,4 - dimethylbutan-4-amine
D. 2,3 - dimethylbutan-1-amine
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{cc}1 /|x| & \text { for }|x| \geq 1 \\ a x^{2}+b & \text { for }|x|<1\end{array} \) The \right.
coefficients a and b so that fis
continuous and differentiable at any
point, are equal to
A. \( a=-1 / 2, b=3 / 2 \)
в. \( a=1 / 2, b=-3 / 2 \)
c. \( a=1, b=-1 \)
D. none of these
Subject: Maths
In the set \( Q^{+} \) of all positive rational
numbers, the operation \( * \) is defined by the formula \( a * b=\frac{a b}{6} . \) Then, the
inverse of 9 with respect to \( * \) is
A . 4
B. 3
\( c \cdot \frac{1}{9} \)
D.
Subject: Physics
A particle of charge \( Q \) and mass \( m \)
travels through a potential difference \( V \) from rest. The final momentum of the
particle is:
A \( \cdot p=\sqrt{\frac{Q m}{V}} \)
в. \( P=\sqrt{Q V} \)
c. \( P=\sqrt{2 m Q V} \)
D. \( P=\sqrt{\frac{2 Q V}{m}} \)
Subject: Physics
A staircase has a large number of steps each of width \( 25 \mathrm{cm} \) and height \( 20 \mathrm{cm} \) A sharp sound is made at a distance in front of the staircase. The frequency of the musical note produced by the echelon effect is (take speed of sound in air as \( 350 \mathrm{m} / \mathrm{s} \) )
A. 700 Hz
в. 350 нz
c. 437.5 Нz
D. 875 нz
Subject: Maths
Find the equation of tangent at (3,4) for the circle \( x^{2}+y^{2}=25 \)
A. \( 3 x+4 y=25 \)
в. \( 3 x-4 y=25 \)
c. \( 3 x+4 y+25=0 \)
D. \( 4 x-3 y=25 \)
Subject: Chemistry
\( \boldsymbol{A}+\boldsymbol{H}_{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{B}+\boldsymbol{O}_{2} . \) In this reaction
the role of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is:
A. oxidant
B. reductant
\( c . \) both
D. catalyst
Subject: Physics
The least distance of vision of a
longsighted person is \( 60 \mathrm{cm} . \) By using a spectacle lens, this distance is reduced to \( 12 \mathrm{cm} . \) The power of the lens is
\( \mathbf{A} \cdot+5.0 D \)
B. \( +(20 / 3) D \)
c \( \cdot(-10 / 3) D \)
D. \( +2.0 D \)
Subject: Physics
Kepler's third law states that square of
period of revolution \( (\boldsymbol{T}) \) of a planet
around the sun, is proportional to third
power of average distance \( r \) between
sun and planet
i.e \( T^{2}=K r^{3} \) here \( K \) is constant.
If the masses of sun and planet are \( \boldsymbol{M} \)
and \( m \) respectively than as per
Newton's law of gravitation force of attraction between them is \( \boldsymbol{F}=\frac{\boldsymbol{G} \boldsymbol{M} \boldsymbol{m}}{\boldsymbol{r}^{2}}, \) here \( \boldsymbol{G} \) is gravitational
constant The relation between \( G \) and \( K \)
is described as
A. \( K=G \)
B. \( \quad K=\frac{1}{G} \)
c. \( G K=4 \pi^{2} \)
D. \( G M K=4 \pi^{2} \)
Subject: Maths
\( \lim _{\boldsymbol{n} \rightarrow \infty} \frac{1}{n} \sum_{\boldsymbol{r}=1}^{\boldsymbol{2} \boldsymbol{n}} \frac{\boldsymbol{r}}{\sqrt{\boldsymbol{n}^{2}+\boldsymbol{r}^{2}}} \) equals
\( \mathbf{A} \cdot 1+\sqrt{5} \)
B \( .-1+\sqrt{5} \)
\( \mathrm{c} \cdot-1+\sqrt{2} \)
D. \( 1+\sqrt{2} \)
Subject: Physics
Two metal plates having a potential difference of \( 800 \mathrm{V} \) are \( 2 \mathrm{cm} \) apart. It is
found that a particle of mass \( 1.96 \times \) \( 10^{-15} K g \) remain suspended in the
region between the plates. The charge on the particle must be:
\( A \cdot 3 e \)
B. \( 4 e \)
\( c \cdot 6 e \)
D. \( 8 e \)
Subject: Chemistry
\( X^{\prime} \) litres of carbon monoxide is present
at \( S T P . \) It is completely oxidized to
\( C O_{2} . \) The volume of \( C O_{2} \) formed is
11.207 litres at \( S T P . \) What is the value
of \( ^{\prime} \boldsymbol{X}^{\prime} \) in litres?
A . 22.414
B. 11.207
c. 5.6035
D. 44.828
Subject: Maths
\[
\begin{aligned}
\text { If: } \boldsymbol{f}(\boldsymbol{x})=& \frac{\boldsymbol{x}\left(e^{1 / x}-e^{-1 / x}\right)}{e^{1 / x}+e^{-1 / x}}, \ldots x \neq 0 \\
&=\mathbf{0}, \quad \ldots . . x=0
\end{aligned}
\]
then \( \boldsymbol{f}(\boldsymbol{x}) \) is
A. continuous everywhere but not differentiable at \( x=0 \)
B. continuous and differentiable everywhere
c. discontinuous at \( x=0 \)
D. none of these
Subject: Maths
\( z_{1} \) and \( z_{2} \) are the roots of the equation
\( z^{2}-a z+b=0, \) where \( \left|z_{1}\right|=\left|z_{2}\right|=1 \)
and \( a, b \) are non zero complex numbers, then
This question has multiple correct options
\( \mathbf{A} \cdot|a| \leq 1 \)
B. \( |a| \leq 2 \)
C \( \cdot \arg \left(a^{2}\right)=\arg (b) \)
\( \mathbf{D} \cdot \) arga \( =\arg \left(b^{2}\right) \)
Subject: Physics
A current of 5 A is passing through a metallic wire of cross-sectional area
\( 4 \times 10^{-6} m^{2} . \) If the density of charge
carriers of the wire is \( 5 \times 10^{26} m^{-3}, \) then
the drift velocity of the electrons will be
A \( \cdot 1 \times 10^{2} m / s \)
B . \( 1.56 \times 10^{-2} \mathrm{m} / \mathrm{s} \)
c. \( 1.56 \times 10^{-3} \mathrm{m} / \mathrm{s} \)
D. \( 1 \times 10^{-2} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
What is the potential of the cell containing two hydrogen electrodes as represented below?
\( \boldsymbol{p t} ; \frac{1}{2} \boldsymbol{H}_{2}(\boldsymbol{g})\left|\boldsymbol{H}_{2} \boldsymbol{O}\right|\left|\boldsymbol{H}^{\oplus}(\mathbf{0 . 0 0 1} \boldsymbol{M})\right| \mathbf{1} / \mathbf{2} \boldsymbol{H} \)
A. \( -0.236 V \)
В. \( -0.0591 V \)
c. \( 0.236 V \)
D. \( 0.0591 V \)
Subject: Physics
A mild steel wire of length \( 1.0 \mathrm{m} \) and
cross-sectional area \( 0.50 \times 10^{-2} \mathrm{cm}^{2} \)
is stretched, well within its elastic
limit, horizontally between two pillars. A mass of \( 100 \mathrm{g} \) is suspended from the mid-point of the wire. Calculate the depression at the mid-point.
Subject: Physics
A small, flat coil of resistance \( r \) is
placed at the centre of a large, closed coil of resistance \( R \). The coils are
coplanar and their mutual inductance
is \( M . \) Initially, a constant current \( i \) was
flowing in the inner coil. If this current is suddenly switched off, what charge will circulate in the other coil?
A. \( \operatorname{Mir} / R^{2} \)
в. \( M i R / r^{2} \)
с. \( M i / R \)
D. \( M i / r \)
Subject: Physics
This question relates to the electron energy level diagram below. The
questions are about a hydrogen
electron located at \( \boldsymbol{E}_{3} \)
\( -.38 e v \)
\( \boldsymbol{n}=\mathbf{6} \)
\( -54 e v \)
\( \boldsymbol{n}=\mathbf{5} \)
\( -85 e v \)
\( \boldsymbol{n}=\mathbf{4} \)
\( \mathbf{- 1 . 5 2 e v}_{-}-\mathbf{3} \)
\( -3.39 e v_{-1-t-1} n=2 \)
\( \mathbf{- 1 3 . 6 e v}_{-\mathbf{n}=\mathbf{1}} \)
what is the emission energy when it
moves to \( \boldsymbol{E}_{2} \) ?
\( \mathbf{A} \cdot+66 e V \)
B. \( +.98 e V \)
c. \( +1.87 e V \)
D. \( -10.2 e V \)
E . \( +12.08 e V \)
Subject: Physics
A black body emits heat at the rate of
20 W. When its temperature is 227 \( ^{\circ} \mathrm{C} \)
Another black body emits heat at the rate of \( 15 \mathrm{W} \), when its temperature is 277
\( ^{o} \mathrm{C} . \) Compare the area of the surface of
the two bodies, if the surrounding is at NTP :
A . 16: 1
B. 1: 4
\( c \cdot 12: 1 \)
D. 1:12
Subject: Physics
Two cars are travelling towards each other on a straight road at velocities \( 15 m / s \) and \( 16 m / s \) respectively. When
they are \( 150 \mathrm{m} \) apart, both the drivers
apply the brakes and the cars
decelerate at \( 3 m / s^{2} \) and \( 4 m / s^{2} \) until they stop. Separation between the cars
when they come to rest is :
\( \mathbf{A} \cdot 86.5 m \)
в. \( 89.5 m \)
c. \( 85.5 m \)
D. \( 80.5 m \)
Subject: Physics
A sphere pure rolls on a rough inclined plane with initial velocity \( 2.8 \mathrm{m} / \mathrm{s} \). Find
the maximum distance on the inclined
plane.
velocity
A. 2.74 m
В. 5.48 m
c. 1.38 m
D. \( 3.2 \mathrm{m} \)
Subject: Chemistry
Glycogen is a branched chain polymer
of \( \alpha-D- \) glucose units in which chain
is formed by C-1 - C-4 glycosidic linkage whereas branching occurs by the formation of C-1 - C-6 glycosidic linkage. Structure of glycogen is similar to
A. amylose
B. amylopectin
c. cellulose
D. glucose
Subject: Maths
If the lines \( \frac{x-0}{1}=\frac{y+1}{2}=\frac{z-1}{-1} \) and \( \frac{x+1}{k}= \)
\( \frac{y-3}{-2}=\frac{z-2}{1} \) are at right angles, then the
value of k is
\( \mathbf{A} \cdot \mathbf{5} \)
B.
\( c \cdot 3 \)
D. -
Subject: Maths
\( f ; A \rightarrow B \) defined by \( f(x)=2 x+3 \)
and if \( \boldsymbol{A}=\{-\mathbf{2},-\mathbf{1}, \mathbf{0}, \mathbf{1}, \mathbf{2}\}, \boldsymbol{B}= \)
\( \{-1,1,3,5,7\}, \) then which of function
is f?
A. One-one
B. onto
c. Bijection
D. constant
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{c}\cos \boldsymbol{\alpha} \sin \boldsymbol{\alpha} \\ -\sin \alpha \cos \boldsymbol{\alpha}\end{array}\right), \) find \( \boldsymbol{\alpha} \)
satisfying \( 0<\alpha<\frac{\pi}{2} \) when \( A+A^{T}= \)
\( \sqrt{2} I_{2} ; \) where \( A^{T} \) is transpose of \( A \)
Subject: Physics
The radius of a hypothetical nucleus (atomic number= 79 ) is about \( 7 \times \)
\( 10^{-15} \mathrm{m} . \) Assuming that charge
distribution is uniform, the electric
field at the surface of the nucleus is :
A. \( 2.9 \times 10^{-21} \)
B. \( 2.32 \times 10^{21} \)
C. \( 4.64 \times 10^{21} \)
D.
Subject: Maths
A body is heated at \( 110^{\circ} \mathrm{C} \) and placed in
air at \( 10^{\circ} \mathrm{C} \). After 1 hour its
temperature is \( 60^{\circ} \mathrm{C} \). How much
additional time is required for it to cool
to \( 35^{\circ} \) C?
Subject: Maths
The length of a rectangular verandah is
\( 3 m \) more than its breadth. The
numerical value of its area is equal to
the numerical value of its
perimeter. Taking \( x \) as the breadth of
the verandah, write an equation in \( x \)
that represents the above statement.
A \( \cdot x^{2}-x-6=0 \)
B. \( x^{2}-x+6=0 \)
c. \( x^{2}-x+5=0 \)
D. \( x^{2}-x-5=0 \)
Subject: Maths
If \( a \) and \( b \) are real numbers between 0
and 1 such that the points \( z_{1}=a+ \)
\( i, z_{2}=1+b i \) and \( z_{3}=0 \) from an
equilateral triangle, then find the values
of \( ^{\prime} a^{\prime} \) and \( ^{\prime} b^{\prime} \)
Subject: Physics
A galvanometer gives full scale deflection of 1 volt when acting like a voltmeter when connected in series
with \( 2 k \Omega \) resistance. The same
galvanometer gives \( 500 \mathrm{mA} \). Full scale deflection when acting like a ammeter
when connected with shunt resistance
of value \( 0.2 \Omega \) in parallel. Find out the resistance of galvanometer
Subject: Physics
The self inductance of a motor of an
electric fan is \( 10 H . \) In order to impart
maximum power at \( 50 H z \), it should be
connected to a capacitance of :
A \( .4 \mu F \)
в. \( 8 \mu F \)
\( \mathrm{c} \cdot 1 \mu F \)
D. \( 2 \mu F \)
Subject: Chemistry
Identify \( A, B, \) and \( C \)
i) Isomeric alcohols \( (A),(B), \) and \( (C) \)
\( \left(\boldsymbol{C}_{5} \boldsymbol{H}_{12} \boldsymbol{O}\right) \)
ii) \( (A) \) and
(B) react with chromic acid
solution.
(B) gives an acid (D).
iii) Reactivity with HBr is: \( C>A \gg B \)
All give the same compound,
\( \boldsymbol{C}_{5} \boldsymbol{H}_{11} \boldsymbol{B} \boldsymbol{r}(\boldsymbol{E}) \)
iv) Only (A) is oxidised by NaOI.
Subject: Biology
Assertion
Secondary succession takes place in
recently denuded area.
Reason
It is caused due to baring of an area.
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 pendulum clock consists of an iron rod connected to a small, heavy bob. If it is designed to keep correct time at
\( 20^{\circ} \mathrm{C}, \) how fast or slow will it go in
24 hours at \( 40^{\circ} \mathrm{C} \) ? Coefficient of linear
expansion of iron \( =1.2 \times 10^{-6} /^{\circ} \mathrm{C} \)
A . 10.4 sec.
B . 1.04 sec.
c. 0.52 sec.
D. 5.02 sec.
Subject: Maths
If \( 2 A+3 B=\left[\begin{array}{ccc}2 & -1 & 4 \\ 3 & 2 & 5\end{array}\right] \) and \( A+2 B= \)
\( \left[\begin{array}{ccc}5 & 0 & 3 \\ 1 & 6 & 2\end{array}\right] \) Then \( B \) is
A \( \cdot\left[\begin{array}{ccc}8 & -1 & 2 \\ -1 & 10 & -1\end{array}\right] \)
B. \( \left[\begin{array}{ccc}8 & 1 & 2 \\ -1 & 10 & -1\end{array}\right] \)
c. \( \left[\begin{array}{ccc}8 & 1 & -2 \\ -1 & 10 & -1\end{array}\right] \)
D. \( \left[\begin{array}{lll}8 & 1 & 2 \\ 1 & 10 & 1\end{array}\right] \)
Subject: Chemistry
\( M g^{2+}+2 e^{-} \rightarrow M g ; E_{c e l l}^{\circ}(V)=-2.37 \)
\( \boldsymbol{C u}^{2+}+\mathbf{2} e^{-} \rightarrow \boldsymbol{C u} ; \boldsymbol{E}_{c e l l}^{\circ}=\mathbf{0 . 3 4} \)
Analyze the data above.
Which substance should be used for
electrode B in this galvanic cell?
A \( \cdot M g^{2} \)
в. \( M g \)
\( c \cdot C u^{2} \)
D. \( C_{7} \)
Subject: Maths
Which one of the following is true?
\( \mathbf{A} \cdot \tan x>1 ; 45<x<90^{\circ} \)
B. \( \sin x>\frac{1}{2} ; 0^{\circ}<x<30^{\circ} \)
\( ^{\mathbf{C}} \cos x>\frac{1}{2} ; 60^{\circ}<x<90^{\circ} \)
D. \( \sin x=\cos x \) for some value of \( x ; 30^{\circ}<x<45^{\circ} \)
Subject: Maths
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( 0.81 \overline{3} \)
A \( \cdot \frac{11}{75} \)
в. \( \frac{61}{75} \)
c. \( \frac{51}{75} \)
D. \( \frac{31}{75} \)
Subject: Physics
An electron is in an excited state in a
hydrogen like atom. It has a total energy
-3.4eV. The kinetic energy of the electron is E and its de Broglie wavelength is \( \lambda \)
A. \( E=6.8 e V, \lambda=6.6 \times 10^{-10} m \)
B . \( E=3.4 e V, \lambda=6.6 \times 10^{-10} m \)
C . \( E=3.4 e V, \lambda=6.6 \times 10^{-11} \mathrm{m} \)
D. \( E=6.8 e V, \lambda=6.6 \times 10^{-11} m \)
Subject: Physics
A man covers 60 m distance in one
minute on the surface of earth. The
distance he will cover on the surface of moon in one minute is \( \left(g_{m}=\frac{g_{e}}{6}\right) \)
\( A .60 m \)
в. 60 Х 6 т
c. \( \frac{60}{6} m \)
D. \( \sqrt{60} m \)
Subject: Biology
Assertion
Ecosystem is the structural and
functional unit of biosphere consisting of abiotic and biotic components which
interact with each other and maintain a
balance in nature.
Reason
In an ecosystem, energy and matter are continuously exchanged between living and non-living components.
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
The self inductance of a coil having 500 turns is 50 mH. The magnetic flux through the cross-sectional area of the coil while current through it is 8 mA is found to be
A \( \cdot 4 \times 10^{-4} W b \)
в. \( 0.04 W b \)
c. \( 4 \mu W b \)
D. \( 40 m W b \)
Subject: Chemistry
Given the following standard molar enthalpies:
\( \Delta \boldsymbol{H}_{f}^{o} \) of \( \boldsymbol{C H}_{3} \boldsymbol{C N}(\boldsymbol{g})=\mathbf{8 8 k J} / \boldsymbol{m o l} \)
\( \Delta H_{f}^{o} \) of \( C_{2} H_{6}=-84 k J / m o l \)
\( \Delta \boldsymbol{H}_{\text {sublimation}}^{o} \) of \( \boldsymbol{C}(\boldsymbol{g} \boldsymbol{r})=\mathbf{7 1 7 k J} / \boldsymbol{m o l} \)
bond dissociation energy of \( N_{2}(g) \) and
\( \boldsymbol{H}_{2}(\boldsymbol{g}) \) are \( \boldsymbol{9} \boldsymbol{4} \boldsymbol{6} \) and \( \boldsymbol{4} \boldsymbol{3} \boldsymbol{6} \boldsymbol{k} \boldsymbol{J} / \boldsymbol{m} \boldsymbol{o} \boldsymbol{l} \)
respectively, \( \boldsymbol{B} \cdot \boldsymbol{E}(\boldsymbol{C}-\boldsymbol{H})= \)
\( 410 k J / \) mol. Determine \( C-C \) and
\( C \equiv N \) bond energies respectively.
\( \mathbf{A} \cdot 366 k J / m o l ; 1095 k J / m o l \)
B. \( 366 k J / m o l ; 877 k J / m o l \)
c. \( 877 k J / m o l ; 366 k J / m o l \)
D. \( 877 k J / m o l ; 1095 k J / m o l \)