AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Charges \( 2 \mu C \) and \( 1 \mu C \) are placed at
corners \( A \) and \( B \) of square of side \( 5 \mathrm{cm} \)
as shown in figure. The amount of work to be done against the electric field in moving a charge of \( 1.0 \times 10^{-6} C \) from \( C \)
to \( D \) is :
B. 0.053 J
c. \( 0.017 J \)
\begin{tabular}{l}
.0 .035 \\
\hline
\end{tabular}
Subject: Physics
The potential at a point due to a charge of \( 5 \times 10^{-7} C \) located \( 10 c m \) away is
\( 4.5 \times 10^{4} V . \) The work done in bringing a
charge of \( 4 \times 10^{-9} C \) from infinity to
that point is:
A \( .2 .4 \times 10^{-4} J \)
В. \( 1.8 \times 10^{-4} \mathrm{J} \)
c. \( 3.2 \times 10^{-5} J \)
D. \( 4.1 \times 10^{-5} J \)
Subject: Maths
The equation of the hyperbola with vertices (0,±15) and foci (0,±20) is
A \( \cdot \frac{x^{2}}{175}-\frac{y^{2}}{225}=1 \)
В. \( \frac{x^{2}}{625}-\frac{y^{2}}{125}=1 \)
c. \( \frac{y^{2}}{225}-\frac{x^{2}}{125}=1 \)
D. \( \frac{y^{2}}{225}-\frac{x^{2}}{175}=1 \)
Subject: Maths
The value of \( \left|\begin{array}{ccc}\boldsymbol{y} \boldsymbol{z} & \boldsymbol{z} \boldsymbol{x} & \boldsymbol{x} \boldsymbol{y} \\ \boldsymbol{p} & \boldsymbol{2} \boldsymbol{q} & \boldsymbol{3} \boldsymbol{r} \\ \boldsymbol{1} & \boldsymbol{1} & \boldsymbol{1}\end{array}\right| \) where \( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \)
are respectively, \( p t h,(2 q) t h, a n d(3 r) t h \)
terms of an H.P., is
A . -1
B.
c. 1
D. none of these
Subject: Chemistry
2-Pentanol can be converted to 2-ethoxy
pentane by two paths. In path I, \( \boldsymbol{H}^{\oplus} \) is abstracted from 2-pentanol to form the
nucleophile while in path II, \( \boldsymbol{H}^{\oplus} \) is abstracted from ethanol. What is true
about the configuration at chiral \( C \) of 2
pentanol?
A. Retained in both paths
B. Retained in path I and Inverted in path I
c. Inverted in path I and Retained in path।
D. Inverted in both paths
Subject: Physics
What is the refractive index of a prism
whose angle \( A=60^{\circ} \) and angle of
minimum deviation \( \boldsymbol{d}_{m}=\mathbf{8 0}^{o} ? \)
A \( \cdot \sqrt{2} \)
B. \( \sin ^{-1}(\sqrt{3}) \)
\( \mathbf{c} \cdot \tan ^{-1}(\sqrt{2}) \)
D. \( \tan ^{-1}(\sqrt{3}) \)
Subject: Chemistry
Heat of neutralization of \( \boldsymbol{H} \boldsymbol{C l} \) and
\( N a O H \) is \( x \) kJ and that of \( C H_{3} C O O H \)
and \( N a O H \) is \( y \) kJ. What is heat of
ionization of \( \boldsymbol{C H}_{3} \) COOH.
В. \( (y-x) \) к)
D. \( -(x+y) \) k)
Subject: Maths
What is the domain of function \( g \)
defined by a set of ordered pairs as
follows: \( \boldsymbol{g}= \)
\{(3,2),(5,9),(6,9),(11,0)\}
\( \mathbf{A} \cdot\{2,9,9,0\} \)
B \( \cdot\{3,5,6,11\} \)
c. \{3,9,9,11\}
D \( \cdot\{2,5,6,11\} \)
Subject: Physics
An astronaut is looking down on earth's
surface from a space shuttle an altitude of \( 400 \mathrm{km} \) Assuming that the astronaut's pupil diameter is \( 5 \mathrm{mm} \) and the wavelength of visible light is \( 500 \mathrm{nm}, \) the astronaut will be able to resolve linear objects of the size of
about :
A . \( 0.5 \mathrm{m} \)
B. 5 m
\( c . \) 50m
D. 500m
Subject: Physics
An airplane with wingspan \( 50 m \) is flying horizontally with a speed of
\( 360 k m h r^{-1} \) over a place where the
vertical component of the earth's magnetic field is \( 2 \times 10^{-2} \). The
potential difference between the tips of the wings would be
A. \( 100 V \)
в. \( 1.0 V \)
\( c .0 .2 V \)
D. \( 0.01 V \)
Subject: Maths
\( \frac{a-b}{a}+\frac{1}{2}\left(\frac{a-b}{a}\right)^{2}+\frac{1}{3}\left(\frac{a-b}{a}\right)^{3}+= \)
A \( \cdot \log _{e}\left(\frac{a}{b}\right) \)
\( ^{\mathrm{B}} \cdot \log _{e}\left(\frac{b}{a}\right) \)
\( \mathbf{c} \cdot \log _{e}(a+b) \)
\( \mathbf{D} \cdot \log _{e}(a-b) \)
Subject: Biology
Match column I with column II and
select the correct answer using the
codes given below.
Column I
Column II
A Father of genetics
Palaeontology
B Dihybrid cross
Gregor Mendel
C Study of fossils
\( (r) \)
3: 1
D Nictitating membrane,
Analogous organs ear muscles and
vermiform appendix E Wings of insects, bat and bird
Vestigial organs
\( A \cdot A-(q) ; B-(r) ; C-(p) ; D-(t) ; E-(s) \)
B. \( A-(r) ; B-(q) ; C-(p) ; D-(t) ; E-(s) \)
c. \( A-(r) ; B-(q) ; C-(p) ; D-(s) ; E-(t) \)
D. \( A-(r) ; B-(p) ; C-(q) ; D-(s) ; E-(t) \)
Subject: Maths
Construct a triangle similar to a given \( \triangle A B C \) such that each of its sides is
\( (3 / 4)^{t h} \) of the corresponding sides of \( \triangle A B C . \) It is given that \( B C= \)
\( 6 c m, \angle B=50^{\circ} \) and \( \angle C=60^{\circ} \)
Subject: Physics
A \( 2 k g \) block is placed over a \( 4 k g \) block
and both are placed on a smooth horizontal surface. The coefficient of
friction between the blocks is \( 0-20 \)
Find the acceleration of the two blocks
if a horizontal force of \( 12 N \) is applied to
(a) the upper block, (b) the lower
block. Take \( g=10 m / s^{2} \)
Subject: Physics
Two identical coaxial coils \( P \) and \( Q \)
carrying equal amount of current in the same direction are brought nearer. The
current in
A. \( P \) increases while in \( Q \) decreases
B. \( Q \) increases while in \( P \) decreases
c. Both \( P \) and \( Q \) increases
D. Both \( P \) and \( Q \) decreases
E. Both \( P \) and \( Q \) remains constant
Subject: Physics
A particle of charge \( q \) and mass \( m \) is
moving at a speed \( v \) enters a uniform
magnetic field of strength \( B \) as shown
below.
How much work is done by the magnetic field on the charge as the field accelerates the charge into a circle
of radius \( r ? \)
\( r \)
9
\( A \)
B.
\( \mathbf{c} \cdot q v B r \)
D. \( m v^{2} \)
E. Cannot be determined
Subject: Chemistry
The value of \( K_{c} \) for the reaction \( \boldsymbol{A}+ \) \( B \leftrightharpoons C+D \) was found to be 0.0997 at a
certain temperature. If the initial
concentrations of \( A \) and \( B \) are both \( 1 M \)
What are the equilibrium concentrations of \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \) and \( \boldsymbol{D} \) ?
Subject: Chemistry
In case of oxygen family (Group 16):
A. The tendency for catenation decreases markedly as we go down the group.
B. Maximum coordination of oxygen is four due to lack of \( d \) -orbital but that of other elements is six due to
presence of \( d \) -orbital
C. The tendency to form multiple bonds with \( C, N \) and \( O \) decreases as going down the group from \( S \) to \( T e \)
D. All of the above are correct statements.
Subject: Physics
Assertion
Angle of repose is equal to angle of
limiting friction.
Reason
When the body is just about to move, the force of friction in this stage is called as limiting friction.
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
Radius of the circle that passes through
origin and touches the parabola \( \boldsymbol{y}^{2}= \)
\( 4 a x \) at the point \( (a, 2 a) \) is
A \( \cdot \frac{5}{\sqrt{2}} a \)
В. \( 2 \sqrt{2} a \)
c. \( \sqrt{\frac{5}{2} a} \)
D. \( \frac{3}{\sqrt{2}} a \)
Subject: Chemistry
Equilibrium constant for the reaction
\( \mathbf{2} N \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{N} \boldsymbol{O} \boldsymbol{C l}(\boldsymbol{g}) \) is
correctly given by the expression:
\( ^{\mathbf{A}} \cdot_{K}=\frac{[2 N O C l]}{[2 N O]\left[C l_{2}\right]} \)
в. \( _{K}=\frac{[N O C l]^{2}}{[N O]^{2}\left[C l_{2}\right]} \)
\( ^{\mathbf{c}}_{K}=\frac{[N O]^{2}[C l]^{2}}{[N O]^{2}+\left[C l_{2}\right]} \)
\( K=\frac{[N O]^{2}+[C l]^{2}}{[N O C l]} \)
Subject: Chemistry
Which of the following reaction is used to
make a fuel cell ?
\( \mathbf{A} \cdot 2 H_{2}(g)+O_{2}(g) \rightarrow 2 H_{2} O(l) \)
B. \( 2 F e(s)+O_{2}(g)+4 H^{+}(a q) \rightarrow 2 F e^{2+}(a q)+2 H_{2} O(l) \)
\( \mathbf{c} \cdot P b(s)+P b O_{2}(s)+2 H_{2} S O_{4}(a q) \rightarrow 2 P b S O_{4}(s)+ \)
\( H_{2} O(l) \)
D. \( C d(s)+2 N i(O H)_{3}(s) \rightarrow C d O(s)+2 N i(O H)_{2}+ \)
\( 2 H_{2} O(l) \)
Subject: Chemistry
Select the correct I.U.P.A.C name for
\( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{3} \boldsymbol{C l}_{3}\right] \) complex:
A. Triamminetrichloridochromate \( (I I I) \)
B . Triamminetrichloridochromium(III)
C . Trichloridotriamminechromium(III)
D. Trichloridotriamminechromate(III)
Subject: Chemistry
Tollen's reagent is used for the detection
of aldehyde when a solution of \( A g N O_{3} \)
is added to glucose with \( N H_{4} O H \) then
fluconic acid is formced
\( A g^{+}+e^{-} \rightarrow A g \)
\( \boldsymbol{E}_{r e d}^{o}=\mathbf{0 . 8} \boldsymbol{V} \)
\( \boldsymbol{C}_{6} \boldsymbol{H}_{12} \boldsymbol{O}_{6}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C}_{6} \boldsymbol{H}_{12} \boldsymbol{O}_{7} \)
(Gluconic acid) \( +2 \boldsymbol{H}^{+}+\mathbf{2} e^{-} ; \boldsymbol{E}_{r e d}^{o}= \)
\( -0.05 V \)
\( A g\left(N H_{3}\right)_{2}+e^{-} \rightarrow A g(s)+2 N H_{3} \)
(Use \( 2.202 \times \frac{R T}{F}=0.0592 \) and \( \frac{F}{R T}= \)
\( 38.92 a t 298 K) \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{C}_{6} \boldsymbol{H}_{22} \boldsymbol{O}_{6}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+\boldsymbol{C}_{6} \boldsymbol{H}_{212} \boldsymbol{O}_{7}+\mathbf{2} \boldsymbol{H}^{+} \)
Find \( \ln K \) of this reaction?
A .66 .13
в. 58.38
c. 28.30
D. 46.29
Subject: Maths
n trapezium \( A B C D \), side \( A B \| C D \)
and diagonals \( A C \) and \( B D \) intersect
each other at \( \boldsymbol{O} \)
Prove that: \( \frac{\boldsymbol{O A}}{\boldsymbol{O C}}=\frac{\boldsymbol{O D}}{\boldsymbol{O B}} \)
Subject: Maths
This month, Kami sold 70 figurines in 2 sizes. The large figurines sold for \( \$ 12 \) each, and the small figurines sold for \( \$ \) 8 each. The amount of money he
received from the sales of the large
figurines was equal to the amount of money he received from the sales of the
small figurines. How many large figurines did Kami sell this month?
A .20
B . 28
\( c .35 \)
D. 42
Subject: Physics
There are two solar energy collectors made up of thin aluminium sheet. They
are flat and uncoated. Collector ' \( \boldsymbol{A}^{\prime} \) is
rectangular measuring \( 20 \mathrm{cm} \) long and \( \mathbf{1 5} \mathrm{cm} \) wide while collector' \( \boldsymbol{B}^{\prime} \) is
circular having \( 20 \mathrm{cm} \) diameter. If
they are kept under mid-day sun for long time then,
A. both the collectors \( A \) and \( B \) will show nearly the same temperature
B. collector \( A \) will show higher temperature than \( B \)
c. collector \( B \) will show higher temperature than \( A \)
D. there will be no rise in the temperature of the two collectors, as they are uncoated
Subject: Chemistry
Vinegar is an acid with its key ingredient, acetic acid. It is widely used for food preservation and cooking. The acetic concentration for table vinegar is typically \( 5 \% \) whereas higher concentration upto \( 18 \% \) is used as preservative. The word "vinegar" is derived from vin aigre, meaning "sour wine"

A table vinegar sample contains \( 5 \% \) (mass/mass) of acetic acid.

To what volume \( 10 \mathrm{m} L \) of the above
sample should be diluted to prepare \( 0.10 M \) acetic acid solution. (density
\( 1.05 g m L^{-1}, \) Molar mass of
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H}-\boldsymbol{6 0 . 0} \boldsymbol{g} \boldsymbol{m o l}^{-1} \mathbf{)} \)
Subject: Physics
Figure \( (a) \) below shows a Wheatstone
bridge in which \( P, Q, R, S \) are fixed
resistances, \( G \) is a galvanometer and \( B \)
is a battery. For this particular case the galvanometer shows zero deflection.
Now, only the positions of \( B \) and \( G \) are
interchanged, as shown in figure ( \( b \) ).
The new deflection of the galvanometer.
A. Is to the left
B. Is to the right
\( c . \) Is zero
D. Depends on the values of \( P, Q, R, S \).
Subject: Chemistry
What would be magnetic moment of
\( \boldsymbol{G} \boldsymbol{d}^{+3}(\boldsymbol{Z}=\mathbf{6 4}) ? \)
A. 7.9 BM
B. 3.62 ВМ
c. \( 10.60 \mathrm{BM} \)
D. 9.72 ВМ
Subject: Maths
Which of the following differential equation is linear?
A \( \cdot \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}+2 y=0 \)
B. \( \frac{d^{2} y}{d x^{2}}+y \frac{d y}{d x}+x=0 \)
c. \( \frac{d^{2} y}{d x^{2}}+\frac{y}{x}+\sin y=x^{2} \)
D. \( (1+x) \frac{d y}{d x}-x y=1 \)
Subject: Physics
Identical metal plates are located in air at equal distance \( d \) from one another
The area of each plate is equal to \( A \). If
the capacitance of the system between \( P \) and \( Q \) if the plates are interconnected
as shown in the figure is given as \( \frac{x}{2} \varepsilon_{0} \frac{A}{d} \) Find \( x: \)
Subject: Maths
Point \( D \) has coordinates as (3,4,5)
Find the coordinates of the point \( \boldsymbol{F} \)
\( \mathbf{A} \cdot(0,4,0) \)
B. (0,0,4)
\( \mathbf{C} \cdot(0,0,5) \)
\( \mathbf{D} \cdot(0,5,0) \)
Subject: Maths
If \( 2^{x}+2^{y}=2^{x+y}, \) then \( \frac{d y}{d x} \) has the value
equal to
This question has multiple correct options
A \( \cdot-\frac{2^{y}}{2^{x}} \)
B. \( \frac{1}{1-2^{x}} \)
\( \mathbf{C} \cdot 1-2^{y} \)
D \( \cdot \frac{2^{x}\left(1-2^{y}\right)}{2^{y}\left(2^{x}-1\right)} \)
Subject: Physics
\( 500 g \) of hot water at \( 60^{\circ} C \) is kept in the
open till its temperature falls to \( 40^{\circ} \mathrm{C} \) Calculate the heat energy lost to the surroundings by the water. ( specific heat of water \( =4200 \mathrm{J} \mathrm{kg}^{-1^{\circ}} \mathrm{C}^{-1} \)
A . \( 2400 J \)
B. \( 5000 J \)
c. \( 40000 J \)
D. \( 42000 J \)
Subject: Maths
If \( a^{2}+b^{2}+c^{2}=35 \) and \( a b+b c+ \)
\( c a=23 ; \) find \( a+b+c \)
\( A \cdot \pm 7 \)
B. ±2
\( c .\pm 9 \)
\( \mathrm{D} \cdot \pm 14 \)
Subject: Physics
Assertion
The reactions taking place in the sun
are nuclear fusion reactions.
Reason
The main reason for nuclear fusion
reactions in the sun is that \( \boldsymbol{H}_{2} \) is
present in the sun's atmosphere so that
hydrogen nuclei can fuse to form helium.
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
In the following reaction \( P b \) undergoes:
\( \boldsymbol{P b}(s)+\boldsymbol{P b O}_{2}(\boldsymbol{s})+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{S O}_{4}(\boldsymbol{a q}) \rightarrow \)
\( 2 P b S O_{4}(s)+2 H_{2} O(l) \)
A. disproportionation
B. comproportionation
c. reduction
D. oxidation
Subject: Maths
One of the roots of
\( \left|\begin{array}{ccc}\boldsymbol{x}+\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{a} & \boldsymbol{x}+\boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{x}+\boldsymbol{c}\end{array}\right|=\mathbf{0} \) is
A \( . a b c \)
B. \( a+b+c \)
c. \( -(a+b+c) \)
D. \( -a b c \)
Subject: Maths
The function \( \boldsymbol{f}:[\mathbf{0}, \infty) \rightarrow \boldsymbol{R} \) given by
\( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}}{\boldsymbol{x}+\mathbf{1}} \) is
A. one-one and onto
B. one-one but not onto
c. onto but not one-one
D. neither one-one nor onto
Subject: Chemistry
Assertion
\( N_{2} O \) is represented by \( (i) N=N=O \)
and
\( (i i) N \equiv N \rightarrow O \) but later is more
stable.
Reason
The form
(ii) shows resonance.
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 \( 12 \Omega \) resistor, a \( 40 \mu F \) capacitor, and
an \( 8 m H \) coil are in series across an ac
source. The resonant frequency is
A \( .28 .1 H z \)
в. \( 281 \mathrm{Hz} \)
\( \mathbf{c} \cdot 2,810 H z \)
D. \( 10 H z \)
Subject: Maths
Then,
This question has multiple correct options
\( f(x) \) is continuous at \( x=0 \) if \( a=-1, b=\frac{1}{2} \)
B. \( f(x) \) is discontinuous at \( x=0 \) if \( b \neq \frac{1}{2} \)
C \( . f(x) \) has irremovable discontinuity at \( x=0 \) if \( a \neq-1 \)
D. \( f(x) \) has removable discontinuity at \( x=0 \) if \( a= \)
\( -1, b \neq \frac{1}{2} \)
Subject: Chemistry
A mixture of ethyl alcohol and propyl
alcohol has vapour pressure of \( 290 m m \) at \( 300 K . \) The vapour pressure of propyl alcohol is 200 mm. If mole fraction of
ethyl alcohol is 0.6 its vapour presssure at same temperature will be:-
A . 360
в. 350
\( c .300 \)
D. 700
Subject: Maths
If the standard deviation of the numbers
\( 2,3, a \) and 11 is \( 3.5, \) then which of the
following is true?
A \( \cdot 3 a^{2}-32 a+84=0 \)
B . \( 3 a^{2}-34 a+91=0 \)
c. \( 3 a^{2}-23 a+44=0 \)
D. \( 3 a^{2}-26 a+55=0 \)
Subject: Physics
A bus starts from rest moving with acceleration \( 2 m / s^{2} . \) A cyclist \( 96 m \)
behind the bus starts simultaneously towards the bus at \( 20 m / s . \) At what
earliest time the cyclist will be able to overtake the bus:
\( \mathbf{A} \cdot 8 s \)
B. \( 10 s \)
\( c \cdot 12 s \)
D. \( 14 s \)
Subject: Chemistry
Which of the following reagent would you choose for the conversion shown below:
\( \boldsymbol{A} \boldsymbol{r} \boldsymbol{N}_{2}^{+} \boldsymbol{C l}^{-} \longrightarrow \boldsymbol{A} \boldsymbol{r} \boldsymbol{F} \)
A. only \( H B F_{4} \)
в. \( H F \)
\( c \cdot F_{2} \)
D. \( H B F_{4} / \)Heat
Subject: Chemistry
Which of the following consists of one electron, one proton and zero neutron?
\( \mathbf{A} \cdot_{1} H^{2} \)
в. \( _{1} H^{1} \)
\( \mathbf{c} \cdot_{1} H^{3} \)
\( \mathrm{D} \cdot_{2} \mathrm{He}^{4} \)
Subject: Physics
When a p-njunction is reverse biased, the current becomes almost constant at
\( 25 \mu A . \) When it is forward biased at
\( 200 m e V, \) a current of \( 75 \mu A \) is obtained Find the magnitude of diffusion current when the diode is
(a) unbiased
reverse-biased at \( 200 m V \) and
forward-biased at \( 200 m V \)
Subject: Chemistry
On photochemical decomposition of
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) the products formed are :
A. \( N O \) and \( O_{2} \)
B. \( N O_{2} \) and \( O_{2} \)
c. \( N_{2} O_{4} \) and \( N O_{2} \)
D. \( N_{2} O_{5} \) and \( N O_{2} \)
Subject: Physics
The figure shows the \( P \) - \( V \) plot of an ideal gas taken through a cycle ABCDA. The part \( A B C \) is a semi-circle and CDA is
half of an ellipse. Then
This question has multiple correct options
A. the process during the path \( A \rightarrow B \) is isotherma
B. heat flows out of the gas during the path \( B \rightarrow C \rightarrow D \)
c. work done during the path \( A \rightarrow B \rightarrow C \) is zero
D. positive work is done by the gas in the cycle ABCDA
Subject: Physics
\( \ln \operatorname{an} \mathrm{L}-\mathrm{C} \) circuit \( \boldsymbol{L}=\mathbf{0 . 7 5} \boldsymbol{H} \) and \( \boldsymbol{C}= \)
\( 18 \mu F . \) At the instant when the current
in the inductor is changing at a rate of \( 3.40 A / s, \) what is the charge on the capacitor?
A \( .45 .9 \mu C \)
B. \( 15.9 \mu C C \)
\( c .55 .9 \mu C \)
D. \( 35.9 \mu C \)
Subject: Chemistry
In a cell that utilizes the reaction \( Z n(s) \)
\( +2 H^{+}(a q) \rightarrow Z n^{2+}(a q)+H_{2}(g) \)
addition of \( \mathbf{H}_{2} \mathbf{S} \mathbf{O}_{4} \) to cathode
compartment, will:
A. lower the E and shift equilibrium to the left
B. lower the E and shift the equilibrium to the right
c. increase the \( \mathrm{E} \) and shift the equilibrium to the right
D. increase the E and shift the equilibrium to the left
Subject: Maths
In the Venn diagram, the numbers
represent the number of elements in the
subsets. Given that
\( \boldsymbol{\xi}=\boldsymbol{F} \cup \boldsymbol{G} \cup \boldsymbol{H} \) and \( \boldsymbol{n}(\boldsymbol{\xi})=\mathbf{4 2}, \) find
\( n\left(G^{\prime} \cup H\right) \)
\( A \cdot 18 \)
3. 28
\( c .30 \)
0.38
Subject: Physics
A ball is dropped from a height \( 8 \mathrm{m} \) on a smooth horizontal surface. If height attained by the ball after the second
collision is \( 2 \mathrm{m} \), then the coefficient of
restitution is :
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{2} \)
c. 1
D. \( \frac{1}{\sqrt{2}} \)
Subject: Physics
Find the pressure exerted by a man weighing \( 90 k g \) on the ground.
(a) when he is standing on one of his
feet having an area of \( 90 \mathrm{cm}^{2} \)
(b) when he is lying flat. The area of his body in contact with the ground is \( 0.9 m^{2} . \) Given \( g=10 m s^{-2} \)
Subject: Chemistry
Based on above isomers answer the
following. Which isomers on dehydration with
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) give alkene which is capable to show geometrical isomerism?
\( A \cdot g, h, f \)
B. b, d, a
\( c \cdot a, b, c \)
\( D \)
of these
Subject: Maths
If the standard deviation of the numbers
\( 2,3, a \) and 11 is \( 3.5, \) then which of the
following is true?
A \( \cdot 3 a^{2}-26 a+55=0 \)
B. \( 3 a^{2}-32 a+84=0 \)
c. \( 3 a^{2}-34 a+91=0 \)
D. \( 3 a^{2}-23 a+44=0 \)
Subject: Chemistry
\( \ln H_{2}-O_{2} \) fuel cell, the reaction
occurring at cathode is :
\( \mathbf{A} \cdot 2 H_{2(g)}+O_{2(g)} \rightarrow 2 H_{2} O_{(l)} \)
B. \( O_{2(g)}+2 H_{2} O_{(l)}+4 e^{-} \longrightarrow 4 O H_{(a q)}^{-} \)
\( ^{\mathrm{c}} \cdot H^{+}+e^{-} \rightarrow \frac{1}{2}^{H}_{2} \)
\( \mathbf{D} \cdot H_{(a q)}^{+}+O H_{(a q)}^{-} \longrightarrow H_{2} O_{(l)} \)
Subject: Physics
How much energy in watt-hour is required for an electric heater to convert
\( 2 \mathrm{kg} \) of ice at \( 0^{\circ} \mathrm{C} \) to water \( 25^{\circ} \mathrm{C} \)
Assume the water equivalent of the given heater to be 10 g. (Assume that initially the heater and the ice are in thermal equilibrium).
Subject: Chemistry
\( \mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}(\mathrm{s}) \leftrightharpoons 3 \mathrm{Ca}^{2+}(\mathrm{aq})+2 \mathrm{PO}_{4}^{3-}(\mathrm{aq}) \)
Find the equilibrium expression for the
dissolution of \( \boldsymbol{C a}_{3}\left(\boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} ? \)
\( \mathbf{A} \cdot \mathbf{K}_{s p}=\left[\mathbf{C} \mathbf{a}^{2+}\right]^{3}\left[\mathbf{P} \mathbf{O}_{4}^{3-}\right]^{2} \)
B. \( \kappa_{s p}=\left[\mathrm{Ca}^{2+}\right]^{2}\left[\mathrm{PO}_{4}^{3-}\right]^{3} \)
C. \( \kappa_{s p}=\left[\mathrm{Ca}^{2+}\right]\left[\mathrm{PO}_{4}^{3-}\right] /\left[\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}\right] \)
D. \( \kappa_{s p}=\left[\mathrm{Ca}^{2+}\right]^{3}\left[\mathrm{PO}_{4}^{3-}\right]^{2} /\left[\mathrm{C} \mathrm{ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}\right] \)
E \( \cdot K_{s p}=\left[\mathrm{Ca}^{2+}\right]^{2}\left[\mathrm{PO}_{4}^{3-]}\right]^{3} /\left[\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2}\right] \)
Subject: Physics
A galvanometer, with a scale divided into 100 equal divisions, has a current
sensitivity of 10 div per \( \mathrm{m} \mathrm{A} \) and voltage sensitivity 2 div per \( \mathbf{m V} \). To read \( 5 A \) full scale deflection
A. Shunt resistance should be \( 1 \Omega \)
B. Shunt resistance should be \( 0.1 \Omega \)
c. shunt resistance should be \( 0.01 \Omega \)
D. Shunt resistance should be \( 0.001 \Omega \)
Subject: Maths
For \( \boldsymbol{m}, \boldsymbol{n} \in \boldsymbol{N}, \) if \( \lim _{x \rightarrow 0} \frac{\boldsymbol{x}^{n}-(\sin \boldsymbol{x})^{m}}{\boldsymbol{x}^{m}}=\boldsymbol{L} \)
where \( L=\frac{n}{6}, \) then \( m-n= \)
A .2
B. -
\( c \cdot 0 \)
D. -
Subject: Maths
A simple formula to calculate the
standard error is
A \( . S_{y x}=\sigma_{y} \sqrt{1-r^{2}} \)
B . \( S_{x y}=\sigma_{x} \sqrt{1-r^{2}} \)
\( \mathbf{c} \cdot S_{y x}=\mathrm{S.E.} \)
D. Both (A) and (B)
Subject: Maths
A village with a population of 400 requires 150 I water per head per day. It has a tank measuring \( 20 \mathrm{m} \times 15 \mathrm{m} \times 6 \)
\( \mathrm{m} \) If the tank is full then how many days
will the water last?
A. 20 days
B. 18 days
c. 10 days
D. 30 days