AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Two straight wires \( A \) and \( B \) of lengths 10m and 12m carrying currents of 4.0 A and 6.0 A respectively in opposite direction, lie parallel to each other at a distance of \( 3.0 \mathrm{cm} . \) The force on a \( 15 \mathrm{cm} \)
section of the wire \( \mathrm{B} \) near its centre is
A. 2.4 \( \times 10^{-5} N \), attractive
B. 2.4 \( \times 10^{-5} N \), repulsive
C. \( 1.2 \times 10^{-5} N \), attractive
D \( \cdot 1.2 \times 10^{-5} N, \) repulsive
Subject: Physics
Match the following two columns:
\( \begin{array}{llll} & \text { Column I } & & \text { Column II } \\ \text { A. } & \begin{array}{l}\text { Electrical } \\ \text { resistance }\end{array} & 1 . & {\left[M L^{3} T^{-3} A^{-2}\right]} \\ \text {B. } & \begin{array}{l}\text { Electrical } \\ \text { potential }\end{array} & 2 . & {\left[M L^{2} T^{-3} A^{-2}\right]} \\ \text {C. } & \begin{array}{l}\text { Specific } \\ \text { resistance }\end{array} & 3 . & {\left[M L^{2} T^{-3} A^{-1}\right]} \\ \text {D. } & \begin{array}{l}\text { Specific } \\ \text { conductance }\end{array} & 4 . & \text { None of these }\end{array} \)
\( \mathbf{A} \cdot A-2, B-3, C-1, D-4 \)
\( \mathbf{B} \cdot A-2, B-4, C-3, D-1 \)
c. \( A-1, B-2, C-3, D-3 \)
D. \( A-1, B-3, C-2, D-4 \)
Subject: Chemistry
\( A g_{3} P O_{4} \) would be least soluble at \( 25^{\circ} \mathrm{C} \)
in
в. 0.1 М \( H N O_{3} \)
c. pure water
D. 0.1 М \( N a_{3} P O_{4} \)
E. solubility in (a), (b), (c) or (d) is not different
Subject: Maths
A bag contains some white and some black balls, all combinations of balls
being equally likely. The total number of
balls in the bag is \( 10 . \) If three balls are drawn at random without replacement and all of them are found to be black,
the probability that the bag contains 1
white and 9 black balls is
A \( \cdot \frac{14}{55} \)
B. \( \frac{12}{55} \)
c. \( \frac{2}{11} \)
D. \( \frac{8}{55} \)
Subject: Maths
A function \( f \) is defined for all positive
integers and satisfies \( \boldsymbol{f}(\mathbf{1})=\mathbf{2 0 0 5} \) and
\( \boldsymbol{f}(1)+\boldsymbol{f}(2)+\ldots+\boldsymbol{f}(\boldsymbol{n})=\boldsymbol{n}^{2} \boldsymbol{f}(\boldsymbol{n}) \) for
all \( n>1 . \) Find the value of \( f(2004) \)
Subject: Physics
A string of length \( 2 m \) is fixed at two ends. It is in resonance with a tuning
fork of frequency \( 240 H z \) in its third harmonic. Than speed of sound wave in string and its fundamental frequency
is:
\( \mathbf{A} \cdot 240 m / s, 80 H z \)
В. \( 320 \mathrm{m} / \mathrm{s}, 80 \mathrm{Hz} \)
c. \( 640 m / s, 80 H z \)
D. \( 120 \mathrm{m} / \mathrm{s}, 40 \mathrm{Hz} \)
Subject: Physics
A bucket full of hot water is kept in a
room. It cools from \( 75^{\circ} \mathrm{C} \) to \( 70^{\circ} \mathrm{C} \) in \( T_{1} \)
minutes, from \( 70^{\circ} \mathrm{C} \) to \( 65^{\circ} \mathrm{C} \) in \( T_{2} \)
minutes and from \( 65^{\circ} \mathrm{C} \) to \( 69^{\circ} \mathrm{C} \) in \( T_{3} \)
minutes. Which of the following relation
is correct?
A. \( T_{1}>T_{2}>T_{3} \)
в. \( T_{1}<T_{2}<T_{3} \)
c. \( T_{1}<T_{2}>T_{3} \)
D. \( T_{1}=T_{2}=T_{3} \)
Subject: Physics
A particle in SHM has a period of 4 sec.
It takes time \( t_{1} \) to start from mean
position and reach half the amplitude in
another case it takes a time \( t_{2} \) to start
from extreme position and reach half
the amplitude, then
A \( \cdot \frac{t_{1}}{t_{2}}=1 \)
в. \( \frac{t_{1}}{t_{2}}=\frac{1}{2} \)
c. \( \frac{t_{1}}{t_{2}}=2 \)
D. \( \frac{t_{1}}{t_{2}}=3 \)
Subject: Physics
In above shown figure, fringe pattern is produced by a monochromatic light passing through two narrow slit. If the fringe width is \( 2 \mathrm{cm} \) then, which of the following changes would increase the distance between the bands?
A. Moving the slits closer together
B. Making the light source brighter
c. Moving the slits closer to the screen
D. Increasing the frequency of the light
E. shortening the wavelength of the light
Subject: Chemistry
Correct statement regarding this
reaction
\( \boldsymbol{B} \boldsymbol{F}_{3}+\boldsymbol{N} \boldsymbol{H}_{3} \rightarrow\left[\boldsymbol{F}_{3} \boldsymbol{B} \leftarrow \boldsymbol{N} \boldsymbol{H}_{3}\right] \)
A. Hybridiration of \( N \) is changed
B. Hybridiration of \( B \) is changed
\( \mathrm{c} . N H_{3} \) act as a Lewis Base
D. (2)\( \&(3) \) both
Subject: Chemistry
toppr LoGIN vow 5
Q Type your question
acid or base is added to it. Buffer
solutions have wide applications.
\( 20.0 m L \) of \( 0.10 M \) of 1 -aminopropane is
titrated with \( 0.10 M \) of \( H C l . \) The \( p H \) at
the equivalence point is \( p \simeq 6 \) and the appropriate acid-base indicator. is
Methyl red. (4.2-6.2) wright the right
answer
Table 1.
Table 1: List of acid/base indicators
Common name \( \quad \) Transition
range, \( p \boldsymbol{H} \quad \) color
change ser red-
orange Methyl orange
Methyl red \( 4.2^{-6.2} \) red-
yellow
Phenol red \( 6.8-8.2 \) yellow-
red \( y \)
\( r \)
Phenolphthalein \( \quad 8.0-9.8 \quad \) colorlessThymolphthalein \( \quad 9.3-10.5 \quad \begin{array}{l}\text { colorless- } \\ \text { blue }\end{array} \)
Subject: Maths
Let \( \mathbf{A B C} \) be a triangle and let \( \mathbf{D}, \mathbf{E} \) be the midpoints of the sides \( \mathbf{A B}, \mathbf{A C} \) respectively,then \( \hat{B} E+\hat{D} C= \)
\( \mathbf{A} \cdot \) ВС
в. \( \frac{1}{2} \hat{B C} \)
c. \( \frac{3}{2} \hat{B C} \)
D. \( \frac{3}{4} \) for
Subject: Chemistry
Among \( \boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{H}_{2} \boldsymbol{S}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{e} \) and \( \boldsymbol{H}_{2} \boldsymbol{T} \boldsymbol{e} \)
the one with the highest boiling point is:
A. \( H_{2} O \) because of hydrogen bonding interactions
B. \( H_{2} \) Te because of its higher molecular weight
c. \( H_{2} S \) because of hydrogen bonding interactions
D. \( H_{2} \) Se because of its lower molecular weight
Subject: Chemistry
The densities of graphite and diamond at \( 298 K \) are 2.25 and \( 3.31 g c m^{-3} \)
respectively. If the standard free energy difference is \( 1895 J m o l^{-1}, \) the
pressure at which graphite will be transformed into diamond is:
A. \( 9.92 \times 10^{8} P a \)
\( a \)
В. \( 9.92 \times 10^{7} P a \)
\( \mathbf{c} .9 .92 \times 10^{6} \mathrm{Pa} \)
D. None of these
Subject: Maths
Which of the following pair of angles is
equal if \( \boldsymbol{m} \| \boldsymbol{n} ? \)
A. \( \angle 1 \) and \( \angle 4 \)
B. \( \angle 3 \) and \( \angle 4 \)
\( c . \angle 4 \) and \( \angle 8 \)
D. \( \angle 6 \) and \( \angle 8 \)
Subject: Chemistry
According to the VB thoery the bonds formed in methane due to overlapping
are:
A. \( 1 \sigma s-s, 3 \sigma s-p \)
B. \( 1 \sigma s-p, 3 \sigma s-s \)
c. \( 2 \sigma s-s, 2 \sigma s-p \)
D. \( 4 \sigma s p^{3}-s \)
Subject: Maths
In the expansion of \( (a+b)^{n}, \) the ratio of
the binomial coefficients of \( 2^{n d} \) and \( 3^{r d} \)
terms is equal to the ratio of the binomial coefficients of \( 5^{t h} \) and \( 4^{t h} \)
terms, then \( n= \)
A . 4
B. 5
\( c .6 \)
D.
Subject: Physics
Ampere's circuital law is given by:
A \( \cdot \oint \bar{H} \cdot \overline{d l}=\mu_{0} I_{e n c} \)
B . \( \oint \bar{B} . \overline{d l}=\mu_{0} I_{e n c} \)
\( \mathbf{c} \cdot \oint \bar{B} \cdot \bar{d} l=\mu_{0} I \)
D . \( \oint \bar{H} . \overline{d l}=\mu_{0} I \)
Subject: Physics
A body starts from rest and moves with
a uniform acceleration. The ratio of the
distance covered in the \( n^{t h} \) sec to the
distance covered in \( n \) sec is:
A \( \cdot \frac{2}{n}-\frac{1}{n^{2}} \)
B. \( \frac{1}{n^{2}}-\frac{1}{n} \)
C \( \cdot \frac{2}{n^{2}}-\frac{1}{n} \)
D. \( \frac{1}{n}-\frac{1}{n^{2}} \)
Subject: Maths
The following table given the daily wages of workers in a factory. Compute the standard deviation and the
coefficient of variation of the wages of
the workers.
\[
\begin{array}{llll}
\text { Wages } & 125- & 175- & 225- \\
\text { (Rs) } & 175 & 225 & 275
\end{array}
\]
Number of workers
Subject: Chemistry
Fill in the blanks by choosing the appropriate option.
Conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) chars paper, wood, and
sugar by removing
(i) \( - \) from
them. It is also known as \( _{-1-}\left(\text {ii) }_{-1} \). It \right.
is manufactured by \( _{--} \) (iii)
process. It is a strong (iv)
and \( ---(v)_{--} \) acid.
\( \mathbf{A} \cdot(\mathbf{i}) H_{2} O, \) (ii)oil of vitriol, (iii)Contact, (iv)oxidising,
(v)dibasic
B . (i) \( O_{2} \), (ii)oil of vitriol, (iii)Oleum, (iv)dehydrating,
(v)monobasic
C . (i) \( H_{2} O \), (ii)oil of wintergreen, (iii)Solvay,
(iv)dehydrating, (v)dibasic
D. (i)S \( O_{2} \), (ii)oil of winter green, (iii)Contact, (iv)oxidising, (v) monobasic
Subject: Physics
A gas at a temperature of \( 27^{0} \mathrm{C} \) is heated
at a constant pressure to triple its volume. The final temperature of the gas
will be:
A \( \cdot 27^{0} \)
B . \( 627^{\circ} \mathrm{C} \)
c. \( 627 \mathrm{k} \)
D. \( 900^{\circ} \mathrm{C} \)
Subject: Chemistry
Boron has two isotopes, \( _{5} B^{10} \) and \( _{5} B^{11} \)
and the atomic weight of boron is 10.81
The ratio of \( _{5} B^{10}:_{5} B^{11} \) in nature would
be:
A. 19: 81
B. 10: 11
c. 15: 16
D. 81: 19
Subject: Physics
A body of mass \( 2 \mathrm{kg} \) is kept by pressing to a vertical wall by a force of \( 100 \mathrm{N} \). the coefficient of friction between wall and
body is 0.3 . then the frictional force is equal to:
\( A \cdot 6 N \)
B. 20 N
c. \( 600 \mathrm{N} \)
D. 700 N
Subject: Chemistry
Assertion
In an atom, the velocity of electrons in
the higher orbits keeps on decreasing.
Reason
Velocity of electron in an orbit is inversely proportional to the radius of
the orbit.
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
The random variable takes the values \( 1,2,3, \dots \dots \dots, m . \) If \( P(X=n)=\frac{1}{m} \) to each \( n \)
then the variance of \( X \) is
A \( \cdot \frac{(m+1)(2 m+1)}{6} \)
в. \( \frac{m^{2}-1}{12} \)
c. \( \frac{m+1}{2} \)
D. \( \frac{m^{2}+1}{12} \)
Subject: Physics
Magnetic flux \( \phi \), in weber, in a closed
circuit of resistance \( 10 \Omega \) varies with
time \( t \) in seconds as \( \phi=6 t^{2}-5 t+1 \)
The magnitude of induced current at
\( t=0.25 s \) is :
A. \( 0.2 \mathrm{A} \)
B. 0.6 \( A \)
\( c \cdot 1.2 A \)
D. \( 0.8 \mathrm{A} \)
Subject: Physics
Intensity of an electric field (E) depends on distance \( r . \) In case of dipole, it is
related as:
\( ^{\mathrm{A}}=_{E} \propto \frac{1}{r} \)
в. \( \quad E \propto \frac{1}{r^{2}} \)
c. \( \quad E \propto \frac{1}{r^{3}} \)
D. \( \quad E \propto \frac{1}{r^{4}} \)
Subject: Maths
In an election, a candidate secured \( 47 \% \) of votes polled and lost the election by 12,366 votes. Find the total votes polled and the votes secured by winning candidate.
A. 2,06,133 and 1,09,266
B. 2,16,100 and 1,19,233
c. 2,06,100 and 1,09,233
D. 2,06,233 and 1,09,200
Subject: Maths
D.E of the parabolas having x-axis as
axis and origin as focus is:
\( \mathbf{A} \cdot y\left(\frac{d y}{d x}\right)^{2}+4 x \frac{d y}{d x}=4 \)
B. \( 2 x \frac{d y}{d x}-y=0 \)
\( ^{\mathbf{C}} y\left(\frac{d y}{d x}\right)^{2}+y=2 x y \frac{d y}{d x} \)
\( y\left(\frac{d y}{d x}\right)^{2}+2 x \frac{d y}{d x}-y=0 \)
Subject: Chemistry
Consider seperate solutions of
\( \mathbf{0 . 5 0 0} \boldsymbol{M} \boldsymbol{C}_{\mathbf{2}} \boldsymbol{H}_{\mathbf{5}} \boldsymbol{O H}(\boldsymbol{a q}), \mathbf{0 . 2 5 0} \boldsymbol{M} \boldsymbol{K} \boldsymbol{B r} \)
\( \mathbf{0 . 1 2 5} \boldsymbol{M} \boldsymbol{N a _ { 3 }} \boldsymbol{P O}_{4}(\boldsymbol{a q}) \) and
\( \mathbf{0 . 1} \boldsymbol{M} \boldsymbol{M} \boldsymbol{g}_{3}\left(\boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \) at \( \mathbf{2 5}^{\circ} \boldsymbol{C} \)
Which statement is true about these
solutions, assuming all salts to be strong electrolytes?
A \( \cdot 0.125 M N a_{3} P O_{4}(a q) \) has the highest osmotic
pressure
B. \( 0.500 M C_{2} H_{5} O H(a q) \) has the highest osmotic pressure.
C. They all have the same osmotic pressure.
D. \( 0.100 M M g_{3}\left(P O_{4}\right)_{2}(a q) \) has the highest osmotic pressure
Subject: Physics
The radius of curvature of the curvedd
surface of a plano-convex lens is \( 20 \mathrm{cm} \) If the refractive index of the material of
the lens be \( 1.5, \) it will
A. act as convex lens only for the objects that lie on its curved side
B. act as a concave lens for the objects that lie on its curved side
c. act as a convex lens irrespective of the side on which the object lies.
D. act as a concave lens irrespective of side on which the object lies
Subject: Maths
\( A B C D \) is a square. A point \( M \) is taken
on the side \( C D, K \) is the point of
intersection of side \( B C \) and the
bisector of the \( \angle B A M . \) Prove that
\( |\boldsymbol{M} \boldsymbol{A}|=|\boldsymbol{B} \boldsymbol{K}|+|\boldsymbol{D} \boldsymbol{M}| \)
Subject: Chemistry
Which reactions represents
heterogeneous catalysis?
This question has multiple correct options
A. Decomposition of \( \mathrm{KClO}_{3} \) in presence of \( \mathrm{MnO}_{2} \)
B. Ostwald process for HNO
C . Contact process for \( \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. Acidic hydrolysis of ester
Subject: Physics
Two resistors of resistances \( \boldsymbol{R}_{1}= \)
\( 100 \pm 3 o h m \) and \( R_{1}=200 \pm 4 o h m \) are
connected (a) in series, (b) in parallel. Find the equivalent resistance of the
(a) series combination,
(b) parellel
combination. Use for \( (a) \) the relation
\( \boldsymbol{R}=\boldsymbol{R}_{1}+\boldsymbol{R}_{2} \) and for \( (\boldsymbol{b}) \)
\( \frac{1}{R^{\prime}}=\frac{1}{R_{1}}+\frac{1}{R_{2}} \) and \( \frac{\triangle R^{\prime}}{R^{\prime 2}}=\frac{\triangle R_{1}}{R_{1}^{2}}+ \)
\( \frac{\triangle \boldsymbol{R}_{2}}{\boldsymbol{R}_{2}^{2}} \)
Subject: Maths
The equation of normal to the curve \( \boldsymbol{y}=\tan \boldsymbol{x} \) at the point \( (\boldsymbol{0}, \boldsymbol{0}) \) is
A. \( x+y=0 \)
В. \( x-y=0 \)
c. \( x+2 y=0 \)
D. None of these
Subject: Chemistry
\( A l+M n O_{4}^{-} \rightarrow A l(O H)_{4}^{-}+M n O_{2} \)
For this reaction the oxidation state of
\( A l \) and \( M n \) in the product are respectively:
\( \mathbf{A} \cdot+3 a n d+4 \)
B. +4 and +4
c. +3 and +7
D. +2 and +4
Subject: Physics
Assertion
Angle and angular displacement are dimensionless quantities.
Reason
Angle is equal to arc length divided by
radius.
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 light bulb burns in front of the center
of a \( 40 \mathrm{cm} \) wide plane mirror that is hung vertically on a wall. A man walks
in front of the mirror along a line that is parallel to the mirror and twice as far from it as the bulb. The greatest
distance he can walk and still see the
image of the bulb.
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
c. \( 60 \mathrm{cm} \)
D. \( 120 \mathrm{cm} \)
Subject: Physics
A unit positive charge is moved along
the circumference of a circle due to the
attraction of a \( -100 \mathrm{C} \) charge at the centre of the circle. Then the work done
in the process is
A. negative work of 100 J
B. positive work of 100 J
c. zero
D. \( \frac{Q .1}{4 \pi \epsilon_{0} r} \)
Subject: Chemistry
In view of the signs of \( \Delta_{r} G^{o} \) for the
following reactions,
\( P b O_{2}+P b \rightarrow 2 P b O, \Delta_{r} G^{o}<0 \)
\( \boldsymbol{S} \boldsymbol{n} \boldsymbol{O}_{2}+\boldsymbol{S} \boldsymbol{n} \rightarrow 2 \boldsymbol{S} \boldsymbol{n} \boldsymbol{O}, \boldsymbol{\Delta}_{r} \boldsymbol{G}^{o}>\mathbf{0} \)
Which oxidation states are more
characteristic for lead and tin?
A. For lead \( +4, \) for tin +2
B. For lead +2 , for tin +2
c. For lead \( +4, \) for tin +4
D. For lead \( +2, \) for tin +4
Subject: Chemistry
Examples of three detergents are given
below. Mark the correct statements
following the examples.
(I) \( \quad \mathbf{C H}_{3}\left(\mathbf{C H}_{2}\right)_{10} \mathbf{C H}_{2} \mathbf{O S O}_{3}^{-} \mathbf{N a}^{+} \)
\( \left.(\mathrm{II}) \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{\mathrm{Il}} \sqrt{\bigcirc}\right\rangle-\mathrm{so}_{3}^{-} \mathrm{Na}^{+} \)
\( \mathrm{CH}_{3} \)
\( \left.(\mathrm{III}) \mathrm{CH}_{3}+\mathrm{CH}-\mathrm{CH}_{2}\right)_{3}-\mathrm{CH}-\langle\Theta\rangle-\mathrm{SO}_{3}^{-} \mathrm{Na}^{+} \)
A. I and II are non-diodegradable detergents and III is biodegradable.
B. I and II are biodegradable detergents and III is nonbiodegradable.
C. \( 1, \) II and III are non-biodegradable detergebts
D. I is biodegradable and II, III are non-biogegradable
Subject: Physics
Two planets of radii \( r_{1} \) and \( r_{2} \) are made from the same material. The ratio of the
acceleration due to gravity \( g_{1} / g_{2} \) at the
surfaces of the two planets is:
A \( \cdot r_{1} / r_{2} \)
в. \( r_{2} / r_{1} \)
C \( \cdot\left(r_{1} / r_{2}\right)^{2} \)
D. \( \left(r_{2} / r_{1}\right)^{2} \)
Subject: Physics
A cylindrical capacitor has two co-axial cylinders of length \( 15 \mathrm{cm} \) and radii 1.5 \( \mathrm{cm} \) and \( 1.4 \mathrm{cm} . \) The outer cylinder is earthed and the inner cylinder is given a charge of \( 3.5 \mu C . \) Determine the
capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends)
Subject: Chemistry
Which of the following orbitals are in the increasing order of energy.
\( \mathbf{A} \cdot 1 s, 2 s, 2 p, 3 s \)
В. \( 4 s, 3 s, 3 p, 4 d \)
c. \( 5 p, 4 d, 5 d, 4 f, 6 s \)
D. \( 4 p, 2 s, 3 s, 2 p \)
Subject: Maths
Perpendicular distance from the origin to the line joining the points \( (a \cos \theta, a \sin \theta),(a \cos \phi, a \sin \phi) \) is
\( A \cdot 2 a \cos (\theta-\phi) \)
в. \( \quad \operatorname{acos}\left(\frac{\theta-\phi}{2}\right) \)
\( ^{\mathbf{c}} \cdot 4 \mathrm{a} \cos \left(\frac{\theta-\phi}{2}\right) \)
D. \( \operatorname{acos}\left(\frac{\theta+\phi}{2}\right) \)
Subject: Physics
Energy of all molecules of a monatomic gas having a volume \( V \) and pressure \( P \) is
\( \frac{3}{2} \boldsymbol{P} \boldsymbol{V} \). The total translational kinetic energy of all molecules of a diatomic
gas at the same volume and pressure is
A \( \cdot \frac{1}{2} P V \)
в. \( \frac{3}{2} P V \)
c. \( \frac{5}{2} P V \)
D. 3PV
Subject: Physics
If \( \mathbf{M}(\mathbf{A}, \mathbf{Z}), \boldsymbol{M}_{\boldsymbol{p}}, \boldsymbol{a} \boldsymbol{n} \boldsymbol{d}, \boldsymbol{M}_{\boldsymbol{n}} \)
denote the masses of
the nucleus
respectively in units of
\( \left(1 u=931.5 M e V / C^{2}\right) \)
and BE represents its bonding energy in
MeV,
then -
A \( . M(A, Z)=Z M_{p}+(A-Z) M_{n}-B E \)
B. \( M(A, Z)=Z M_{p}+(A-Z) M_{n}+B E / C^{2} \)
C \( . M(A, Z)=Z M_{p}+(A-Z) M_{n}-B E / C^{2} \)
D. \( M(A, Z)=Z M_{p}+(A-Z) M_{n}+B E \)
Subject: Chemistry
A buffer solution of \( 0.80 M N a_{2} H P O_{4} \)
and \( 0.020 M N a_{3} P O_{4} \) is prepared. The
electrolytic oxidation of 1.0 milli mole RNHOH is carried out in \( 100 m L \)
buffer to give.
\( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{R} \boldsymbol{N} \boldsymbol{O}_{2}+ \)
\( 4 H^{+}+4 e \)
Calculating approximate \( p H \) (nearest integer) of the solution after oxidation
is complete. \( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{1}}, \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{2}} \) and \( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{3}} \) of
\( H_{3} P O_{4} \) are 2.12,7.20 and 12.0
respectively.
Subject: Maths
The distance of the point (1,-2,3) from the plane \( \boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5} \) measured
parallel to the line \( \frac{x}{2}=\frac{y}{3}=\frac{z-1}{-6} \) is
A .
B . 2
\( c \cdot 4 \)
D. none of these
Subject: Chemistry
(a) What type of battery is the lead storage battery? Write the anode and the cathode reactions and the overal
reaction occurring in a lead storage battery when current is drawn from it.
(b) In the button cell, widely used in watches, the following reaction taken place.
\( Z n(s)+A g_{2} O(s)+H_{2} O(l) \rightarrow \)
\( Z N^{2+}(a q)+2\left(A g(s)+2 O H^{-}(a q)\right. \)
Determine \( E^{o} \) and \( \Delta G^{o} \) for the reaction
(given: \( \boldsymbol{E}_{\boldsymbol{\beta} \boldsymbol{g}^{+} / \boldsymbol{A} \boldsymbol{g}}=+\boldsymbol{0 . 8 0} \boldsymbol{V}, \boldsymbol{E}_{Z n^{2+} / Z n}^{o}= \)
\( -0.76 V) \)
Subject: Chemistry
The elements of one period are given below in order from left to right
\( \boldsymbol{L} \boldsymbol{i}, \boldsymbol{B} \boldsymbol{e}, \boldsymbol{B}, \boldsymbol{C}, \boldsymbol{O}, \boldsymbol{F}, \boldsymbol{N} \boldsymbol{e} \)
Which one of the above elements
belongs to the halogen series?
\( \mathbf{A} \cdot L i \)
B. \( O \)
\( c . F \)
D. Ne
Subject: Maths
Three vertices of a tetrahedron are
(0,0,0),(6,-5,-1) and \( (-4,1,3) . \)
the centroid of the tetrahedron be
(1,-2,5) then the fourth vertex is
A. (2,-4,18)
в. (1,-4,18)
\( ^{c} \cdot\left(\frac{3}{2}, \frac{-3}{2}, \frac{7}{4}\right) \)
D. none of these
Subject: Maths
The value of determinant is
\[
\left|\begin{array}{ccc}
\boldsymbol{a}+\boldsymbol{b} & \boldsymbol{a}+\mathbf{2 b} & \boldsymbol{a}+\mathbf{3} \boldsymbol{b} \\
\boldsymbol{a}+\mathbf{2} \boldsymbol{b} & \boldsymbol{a}+\mathbf{3} \boldsymbol{b} & \boldsymbol{a}+\mathbf{4} \boldsymbol{b} \\
\boldsymbol{a}+\mathbf{4} \boldsymbol{b} & \boldsymbol{a}+\mathbf{5} \boldsymbol{b} & \boldsymbol{a}+\boldsymbol{6 b}
\end{array}\right|
\]
Subject: Maths
The area bounded by \( y=x^{2} \) and \( y= \)
\( 1-x^{2} \) is
A \( \cdot \frac{\sqrt{8}}{3} \)
в. \( \frac{16}{3} \)
c. \( \frac{32}{3} \)
D. \( \frac{17}{3} \)
Subject: Maths
A stone is dropped into a quiet lake and waves move in circles at the sped of 5
cm/sec.

At that instant, when radius of circular
wave is \( 8 \mathrm{cm}, \) how fast is the enclosed area increasing?
\( \mathbf{A} \cdot 8 \pi \mathrm{cm}^{2} / \mathrm{s} \)
B. \( 80 \pi c m^{2} / s \)
c. \( 6 \pi c m^{2} / s \)
D. \( \frac{8}{3} \pi c m^{2} / s \)
Subject: Physics
A biconvex lens of focal length \( 15 \mathrm{cm} \) is in front of a plane mirror. The distance between the lens and the mirror is 10
\( \mathrm{cm} . \mathrm{A} \) small object is kept at a distance of \( 30 \mathrm{cm} \) from the lens. The final image is
A. Virtual and at a distance of \( 16 \mathrm{cm} \) from the mirror
B. Real and at a distance of \( 16 \mathrm{cm} \) from the mirror
c. Virtual and at a distance of \( 20 \mathrm{cm} \) from the mirror
D. Real and at a distance of \( 20 \mathrm{cm} \) from the mirro
Subject: Physics
In the figure shown, a spherical part of
\( \boldsymbol{R} \)
radius \( \frac{-k}{2} \) is removed from a bigger solid
sphere of radius \( R \). Assuming uniform mass distribution, shift in the centre of
mass will be:
\( A \cdot \frac{R}{7} \)
в. \( \frac{R}{14} \)
\( c \cdot \frac{R}{9} \)
D. \( \frac{R}{6} \)
Subject: Physics
M.I of hemisphere about axis \( 2, \) which is
parallel to diameter but passing
through centre of mass, will be
\( ^{\mathrm{A}} \cdot \frac{83}{320} m R^{2} \)
\( ^{\mathbf{B}} \cdot \frac{2}{5}^{m R^{2}} \)
\( c \cdot \frac{m R^{2}}{5} \)
\( \frac{2}{3}^{m R^{2}} \)
Subject: Physics
Three charged particles are initially in position-1. They are free to move and they come to position - 2 , after some
time.Let \( U_{1} \) and \( U_{2} \) be the electrostatic
potential energies in position-1 and
2.Then
A \( \cdot U_{1}=U_{2} \)
в. \( U_{2} \geq U_{1} \)
c. \( U_{2}>U_{1} \)
D. \( U_{1}>U_{2} \)