AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
For which of the following dependences
of drift velocity \( v_{d} \) on electric field \( \mathrm{E} \), is
Ohm's law obeyed?
A \( \cdot v_{d} \propto E \)
в. \( v_{d} \propto E^{2} \)
c. \( v_{d} \propto \sqrt{E} \)
D. \( v_{d} \propto \frac{1}{E} \)
Subject: Physics
A square frame ABCD is formed by four identical rods each of mass 'm' and
length 'T'. This frame is in \( X \) - Y plane such that side \( A B \) coincides with \( X- \)
axis and side \( A D \) along \( Y \) - axis. The moment of inertia of the frame about \( X \)
axis is
A \( \cdot \frac{5 m l^{2}}{3} \)
B. \( \frac{2 m l^{2}}{3} \)
c. \( \frac{4 m l^{2}}{3} \)
D. \( \frac{m l^{2}}{12} \)
Subject: Physics
A modern 200 W sodium street lamp
emits yellow light of wavelength \( 0.6 \mu m \) Assuming it to be \( 25 \% \) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is :
A \( \cdot 62 \times 10^{20} \)
B . \( 3 \times 10^{19} \)
c. \( 1.5 \times 10^{20} \)
D. \( 6 \times 10^{18} \)
Subject: Physics
Two large, identical and parallel conducting plates have surface \( X \) and \( Y \)
facing each other. The charge per unit
\( \operatorname{area} \) on \( X \) is \( \sigma_{1}, \) and on \( Y \) it is \( \sigma_{2} . \) Then :
A \( \cdot \sigma_{1}=-\sigma_{2} \) in all cases.
B . \( \sigma_{1}=-\sigma_{2} \) only if a charge is given to one plate only
C \( \cdot \sigma_{1}=\sigma_{2}=0 \) if equal charges are given to both the
plates
D. \( \sigma_{1}>\sigma_{2} \) if \( x \) is given more charge than \( Y \)
Subject: Chemistry
The phosphorus in a 4.258 g sample of a plant food was converted to \( P O_{4}^{3-} \) and
precipitated as \( A g_{3} P O_{4} \) through the
addition of \( 50.0 \mathrm{mL} \) of \( 0.082 M A g N O_{3} \)
The excess of \( A g N O_{3} \) was back titrated with \( 4.86 \mathrm{mL} \) of \( 0.0625 M \)
\( K S C N . \) Express the results of this
analysis in terms of \( P_{2} O_{5} \) as nearest
integer \%. \( P_{2} O_{5}+9 H_{2} O \rightarrow 2 P O_{4}^{3-}+6 H_{3} O^{+} \)
\( 2 P O_{4}^{3-}+6 A g^{+} \rightarrow 2 A g_{3} P O_{4} \)
\( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{S C N}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g} \boldsymbol{S} \boldsymbol{C} \boldsymbol{N}(\boldsymbol{s}) \)
Subject: Physics
A microscope consists of an objective with a focal length \( 2 \mathrm{mm} \) and an eye piece with a focal length \( 40 \mathrm{mm} \). The distance between the foci(which are
between the lenses) of objective and eyepiece is \( 18 \mathrm{cm} . \) The total
magnification of the microscope is(Consider normal adjustment and \( \operatorname{take} D=25 \mathrm{cm} \)
A. 562.5
В. 625
c. 265
D. 62.5
Subject: Physics
A \( 100 \mathrm{W} \) bulb produces an electric field of \( 2.9 \mathrm{V} / \mathrm{m} \) at a point \( 3 \mathrm{m} \) away. If the bulb is replaced by \( 400 \mathrm{W} \) bulb without disturbing other conditions, then the electric field produced at the same point is
A \( .2 .9 \mathrm{V} / \mathrm{m} \)
в. \( 3.5 V / m \)
c. \( 4 V / m \)
D. \( 5.8 V / m \)
Subject: Chemistry
Assertion: AgCl will not dissolve in a concentrated solution.

Reason: The chloride ions from NaCl
suppress the solubility of AgCl.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
The solubility of \( C a C O_{3} \) is \( 7 \mathrm{mg} / \mathrm{L} \)
Calculate the \( K_{s p} \) of \( B a C O_{3} \) when
\( N a_{2} C O_{3} \) is added slowly a solution
containing equimolar concentration of
\( C a^{+2} \) and \( B a^{+2} \) and no precipitate is
formed until \( 90 \% \) of \( B a^{+2} \) has been
precipitated as \( B a C O_{3} \)
A \( \cdot 1.1 \times 10^{-10} \)
В. \( 55 \times 10^{-10} \)
c. \( 2.5 \times 10^{-10} \)
D. \( 4.9 \times 10^{-10} \)
Subject: Physics
A given sample of an ideal gas occupies a volume \( V \) at a pressure \( P \) and absolute temperature T. The mass of each
molecule of the gas is m. which of the following gives the density of the gas?
A. mKT
B. P/(kT)
\( \mathbf{c} \cdot \operatorname{Pm} /(\mathrm{k} \mathrm{T}) \)
D. P/(KTV)
Subject: Physics
The expression for the magnification of a spherical mirror in the terms of focal length (f) and the distance of the object from mirror (u) is
A. \( \frac{-f}{u-f} \)
B. \( \frac{f}{u+f} \)
c. \( \frac{-f}{u+f} \)
D. \( \frac{f}{u-f} \)
Subject: Physics
Find the electric flux crossing the wire frame \( A B C D \) of length \( I, \) width \( b, \) and
center at a distance \( 0 P=d \) from an
infinite line of charge with linear charge
density \( \lambda \). Consider that the plane of the
frame is perpendicular to the line OP
Fig.
A \( \cdot \frac{2 N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \)
B. \( \frac{N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \)
c. \( \frac{3 N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{7 b}{2 d}\right) \)
D. \( \frac{N}{2 \pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \)
Subject: Chemistry
Two liquids \( A \) and \( B \) form ideal
solutions. At \( 300 K \), the vapour
pressure of solution containing 1 mole
of \( A \) and 3 mole of \( B \) is 550 mm \( H g . A t \)
the same temperature, if one more mole
of \( B \) is added to this solution, the
vapour pressure of the solution increases by 10 mm \( H g . \) Determine the vapour pressure of \( A \) and \( B \) in the pure
\( \operatorname{states}(\operatorname{in} \operatorname{mm} H g) \)
A .400,600
B .500,500
\( \mathbf{c} .600,400 \)
D. None of these
Subject: Maths
If \( f(x)=x^{2} e^{2 x}(x>0,) \) then find the
local maximum value of \( \boldsymbol{f}(\boldsymbol{x}) \)
\( A \cdot \frac{2}{e^{2}} \)
B. \( \frac{-1}{e^{2}} \)
\( c \cdot e^{2} \)
D. \( \frac{1}{e^{2}} \)
Subject: Chemistry
The number of possible products for \( x \)
and \( y \) is :
\( \bigwedge_{\mathrm{OH}} \frac{\mathrm{n}_{\mathrm{A}}^{+}}{\Delta} \) Possible products \( \frac{\mathrm{Br}_{\mathrm{r}} / \mathrm{ccl}_{4}}{(x)}(y) \) products
\( A \cdot 2,4 \)
B. 3, 5
\( c \cdot 3,6 \)
D. 3,4
Subject: Chemistry
The reaction of \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C O N a} \) with
reagent is the most easy.
A. \( C_{6} H_{5} B r \)
B \( \cdot\left(C H_{3}\right)_{2} C H B r \)
\( \mathbf{c} \cdot\left(C H_{3}\right)_{3} C B r \)
D. \( C H_{3} C H_{2} B r \)
Subject: Maths
Find the value of the constant \( k \) so that
the function given below is continuous
at \( \boldsymbol{x}=\mathbf{0} \)
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\frac{1-\cos 2 x}{2 x^{2}}, x \neq 0 \quad k x=0\right\} \)
Subject: Physics
The temperature coefficient of resistance of a wire is \( 0.00125 K^{-1} \). The
resistance of the wire is 1 ohm at \( 300 \mathrm{K} \)
The resistance at \( 1100 \mathrm{K} \) will be:
\( A \cdot 2 \) ohm
B. 2.1 ohm
\( c \cdot 1.4 \) on
D. 1.2 ohm
Subject: Maths
The line \( 3 x-4 y+8=0 \) is rotated
through an angle \( \frac{\pi}{4} \) in the clockwise direction about the point \( (0,2) . \) The equation of the line in its new position
is
A. \( 7 y+x-14=0 \)
в. \( 7 y-x-14=0 \)
c. \( 7 y+x-2=0 \)
D. \( 7 y-x=0 \)
Subject: Physics
Two spheres of mass \( M \) and \( 4 M \) are connected by a rod whose mass is negligible, and the distance between the centers of each sphere is \( d \)
The \( 4 M \) sphere is moved a distance \( d / 3 \) towards the smaller sphere. How far has the Center of Mass for the
entire object moved?
A. The Center of Mass has not moved, because both spheres still have their original masses
в. \( d / 15 \)
\( c \cdot d / 5 \)
D. \( 4 d / 15 \)
E . \( 8 d / 15 \)
Subject: Chemistry
Unit of \( \boldsymbol{K}_{\boldsymbol{p}} \) for \( \boldsymbol{N} \boldsymbol{H}_{\boldsymbol{4}} \boldsymbol{C O O} \boldsymbol{N} \boldsymbol{H}_{\boldsymbol{2}(s)} \rightleftharpoons \)
\( N H_{3(g)}+C O_{2(g)} \) is:
A. No units
B. \( a t m^{2} \)
\( c \cdot a t m^{3} \)
D. none
Subject: Chemistry
When a conductance cell was filled with
\( 0.0025 \mathrm{M} \) solution of \( \mathrm{K}_{2} \mathrm{SO}_{4} \), its
resistance was 326 ohm. Length of cell
\( =100 \mathrm{cm} \) and cross-sectional area \( 2.14 \times \)
\( 10^{-4} \mathrm{cm}^{2} . \) The specific resistance of \( \mathrm{K}_{2} \mathrm{SO}_{4} \)
is:
\( \mathbf{A} \cdot 4.994 \times 10^{-4} \)
B . \( 5.997 \times 10^{-4} \)
\( \mathbf{c} \cdot 6.997 \times 10^{-4} \)
D. \( 7.997 \times 10^{-4} \)
Subject: Chemistry
How many structural isomers with the
molecular formula \( C_{4} H_{10} O \) give infra red absorptions both at approximately \( 1200 \mathrm{cm}^{-1} \) and at approximately 3400 \( c m^{-1} ? \)
A . 2
B. 4
\( c \cdot 6 \)
D.
Subject: Physics
A ray is incident at an angle of incidence on one surface of a prism of
small angle \( A \) and emerges normally from the opposite surface. If the refractive index of the material of the
prism is \( \mu, \) the angle of incidence \( i \) is
nearly equal to :
\( A \cdot A / \mu \)
в. \( A / 2 \mu \)
c. \( \mu / A \)
D. \( \mu A \)
Subject: Chemistry
Pure benzene freezes at \( 5.3^{\circ} \mathrm{C} \). A
solution of 0.223 g of phenyl acetic acid \( \left(C_{6} H_{5} C H_{2} C O O H\right) \) in 4.4 g of benzene \( \left(K_{f} 5.12 \mathrm{K} \mathrm{kg} \mathrm{mol}^{-1}\right) \) freezes at \( 4.47^{\circ} \mathrm{C} \)
From the observation one can conclude
that:
A. phenyl acetic acid exists as such in benzene
B. phenyl acetic acid undergoes partial ionization in benzene
c. phenyl acetic acid undergoes complete ionization in benzene
D. phenyl acetic acid dimerizes in benzene
Subject: Maths
The foot of a ladder is \( 6 \mathrm{m} \) away from a
wall and its top reaches a window \( 8 \mathrm{m} \) above the ground. If the ladder is shifted
in such a way that its foot is \( 8 \mathrm{m} \) away from the wall, to what height does its top reaches?
A. \( 6 m \)
B. \( 4 \mathrm{m} \)
\( c .5 \mathrm{m} \)
D. 3 m
Subject: Physics
A train \( S 1, \) moving with a uniform
velocity of \( 108 \mathrm{km} / \mathrm{h} \), approaches
another train \( S 2 \) standing on a platform. An observer 0 moves with a
uniform velocity of \( 36 \mathrm{km} / \mathrm{h} \) towards \( S 2 \)
as shown in figure. Both the trains are
blowing whistles of same frequency 120
Hz. When 0 is 600 m away from \( S 2 \) and
distance between \( S 1 \) and \( S 2 \) is \( 800 m \)
the number of beats heard by 0 is
(Speed of the sound \( = \)
\( 330 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Let \( \boldsymbol{A}=\left[\begin{array}{c}-\mathbf{1} \\ \mathbf{2} \\ \mathbf{3}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}-\mathbf{2} & -\mathbf{1} & -\mathbf{4}\end{array}\right] \)
The skew symmetric part of \( A B \) is?
\( \mathbf{A} \cdot\left(\begin{array}{ccc}0 & 5 / 2 & 5 \\ -5 / 2 & 0 & -5 / 2 \\ -5 & 5 / 2 & 0\end{array}\right) \)
В. \( \left(\begin{array}{ccc}0 & 5 & 10 \\ -5 & 0 & 11 \\ -10 & -11 & 0\end{array}\right) \)
\( \mathbf{c} \cdot\left(\begin{array}{ccc}0 & 3 & 5 \\ -3 & 0 & 11 \\ -5 & -11 & 0\end{array}\right) \)
D. None of these
Subject: Chemistry
Which one of the following statement(s)
is/are correct?
A. Brownian movement is more pronounced for smaller particles than for bigger ones.
B. Sols of metal sulphides are lyophilic.
C. According to the Schulze-Hardy law, the bigger the size of the ion, the greater is its coagulating power.
D. One would expect charcoal to adsorb chlorine more strongly than hydrogen sulphide.
Subject: Chemistry
Identify \( Y \) in the following reaction. \( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{N} \boldsymbol{H}_{2} \frac{\boldsymbol{H} C l}{N a N O_{2}}[\boldsymbol{X}] \stackrel{\boldsymbol{H}_{2} \boldsymbol{O}}{\longrightarrow} \boldsymbol{Y} \)
A. \( C_{2} H_{5} N_{2} C l \)
в. \( C_{2} H_{5} C l \)
с. \( C_{2} H_{5} O H \)
D . \( C_{2} H_{6} \)
Subject: Physics
An infinite number of charges 'q' each are placed along the \( x \) - axis at \( x=1, x=4 \)
\( x=8 \) and \( s o \) on. If the distance are in meters calculate the electric potential
at \( x=0 \)
\( A \cdot \frac{3 q}{8 F C_{0}} \)
B. \( \frac{q}{2 \pi_{0}} \)
\( c \cdot \frac{2 q}{\pi_{0} q} \)
D. \( \frac{49}{\pi_{0} q} \)
Subject: Physics
A cord is wound around the
circumference of a bicycle wheel
(without tyre) of diameter 1 m. A mass
of \( 2 k g \) is tied to the end of the cord and
it is allowed to fall from rest. The weight
falls \( 2 m \) in \( 4 s \). The axle of the wheel is
horizontal and the wheel rotates with its
plane vertical. The angular acceleration produced is:
\( \left(\operatorname{take} g=10 m s^{-2}\right) \)
A \( \cdot 0.5 \) rads\( ^{-2} \)
B. 1 rads\( ^{-2} \)
c. 2 rads \( ^{-2} \)
D. 4 rads \( ^{-2} \)
Subject: Physics
An atomic nucleus \( A \) is composed of 84
protons and 128 neutrons.
(i) The nucleus \( A \) emits an alpha particle and is transformed into nucleus \( B \). What is the composition of
nucleus \( B ? \)
(iii) The nucleus \( B \) emits a beta particle and is transformed into a
nucleus \( C . \) What is the composition of
nucleus \( C ? \)
\( (i i i) \) Does the composition of nucleus \( C \)
change if it emits gamma radiations?
Subject: Chemistry
How do you convert the following:
(i) Prop-1-ene to 1-fluoropropane
(ii) Chlorobenzene to 2-chlorotoluene
(iii) Ethanol to propanenitrile
Write the main products when
(i) n-butyl chloride is treated with
alcoholic \( K O H \)
(ii) \( 2,4,6- \) trinitrochlorobenzene is
subjected to hydrolysis
(iii) methyl chloride is treated with
\( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \)
Subject: Physics
Calculate the momentum of a bullet of
\( 25 g \) when it is fired from a gun with a velocity of \( 100 m / s \)
A. 20 kg \( m / s \)
в. \( 2500 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
c. \( 2.5 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
D. None
Subject: Physics
A point \( P \) moves in counter-clockwise
direction on a circular path as shown in
the figure. The movement of \( ^{\prime} \boldsymbol{P}^{\prime} \) is such
that it sweeps out a length \( s=t^{3}+5 \)
where \( s \) is in metres and \( t \) is in seconds.
The radius of the path is 20 m. The
acceleration of \( ^{\prime} \boldsymbol{P}^{\prime} \) when \( \boldsymbol{t}=\mathbf{2} \boldsymbol{s} \) is
nearly.
A \( \cdot 13 m / s^{2} \)
B \( \cdot 12 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 7.2 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 14 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
The mass of carbon anode consumed
(giving the only carbon dioxide) in the production of \( 270 k g \) of aluminium metal from bauxite by the Hall process is:
[atomic mass \( \boldsymbol{A l}=\mathbf{2 7}] \)
A. \( 180 \mathrm{kg} \)
в. \( 270 \mathrm{kg} \)
c. \( 540 \mathrm{kg} \)
D. \( 90 \mathrm{kg} \)
Subject: Chemistry
Assertion
The order of reaction is equal to
molecularity of simple reactions:
Reason
Molecularity of the reaction can not be
fractional:
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
Correct statement(s) in case of n-
butanol and t-butanol is (are):
This question has multiple correct options
A. both are having equal solubility in water
B. t-butanol is more soluble in water than n-butanol.
C. boiling point of t-butanol is lower than n-butanol.
D. boiling point of n-butanol is lower than t-butanol.
Subject: Chemistry
Arrange the following in the increasing order of their reactivity towards nucleophilic addition reaction:
\[
\mathrm{cH}_{3} \mathrm{CocH}_{3}, \mathrm{HCHO}, \mathrm{cH}_{3} \mathrm{CHO},\langle/ \sqrt{ }\rangle-\mathrm{cocH}_{3}
\]
Subject: Chemistry
\( \left[\boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\right]\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \) What is the
IUPAC name of the compound?
Subject: Maths
If \( x \) takes negative permissible value,
then \( \sin ^{-1} x= \)
B. \( -\cos ^{-1} \sqrt{1-x^{2}} \)
\( \mathrm{c} \cdot \cos ^{-1} \sqrt{x^{2}-1} \)
D・ \( \pi-\cos ^{-1} \sqrt{1-x^{2}} \)
Subject: Maths
A unit vector perpendicular to the lines
\( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{3}}=\frac{\boldsymbol{y}+\mathbf{2}}{\mathbf{1}}=\frac{\boldsymbol{z}+\mathbf{1}}{\mathbf{2}} \) and \( \frac{\boldsymbol{x}-\mathbf{2}}{\mathbf{1}}= \)
\( \frac{\boldsymbol{y}+\boldsymbol{2}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\boldsymbol{3}}{\boldsymbol{3}} \) is
\( ^{\mathbf{A}} \cdot \frac{-\hat{i}+7 \hat{j}+7 \hat{k}}{\sqrt{99}} \)
\( ^{\text {B. }} \frac{-\hat{i}-7 \hat{j}+5 \hat{k}}{5 \sqrt{3}} \)
\( \frac{-\hat{i}+7 \hat{j}+5 \hat{k}}{5 \sqrt{3}} \)
D. \( \frac{7 \hat{i}-7 \hat{j}-\hat{k}}{\sqrt{99}} \)
Subject: Maths
A bag contains 5 red balls, 3 black balls and 4 white balls. Three balls are drawn
at random. The probability that they are not of same colour is
\( ^{\mathrm{A}} \cdot \frac{37}{44} \)
в. \( \frac{31}{44} \)
c. \( \frac{21}{44} \)
D. \( \frac{41}{44} \)
Subject: Chemistry
I. A \( 2 M \) solution of urea \( \left(C H_{4} N_{2} O\right) \)
can be prepared by dissolving 1 mole of
urea in \( 500 m L \) of water.
II. Urea is a non-polar molecular compound
A. Statement \( I \) is true, Statement \( I I \) is true
B. Statement I is true, Statement II is false
c. statement \( I \) is false, statement \( I I \) is true
D. Statement I is false, Statement II is false
Subject: Maths
For three events \( A, B \) and \( C, P \) (Exactly
one of \( \boldsymbol{A} \text { or } \boldsymbol{B} \text { occurs })=\boldsymbol{P}( \) Exactly one
of \( B \text { or } C \text { occurs })=P(\text { Exactly one of } C \) or \( A \text { occurs })=\frac{1}{4} \) and \( P( \) All the three
events occur simultaneously) \( =\frac{1}{16} \)
Then the probability that at least one of the events occurs, is.
A \( \cdot \frac{7}{32} \)
в. \( \frac{7}{16} \)
c. \( \frac{7}{64} \)
D. \( \frac{3}{16} \)
Subject: Chemistry
In the reaction
\( \boldsymbol{R O H}+\boldsymbol{P B r}_{3} \rightarrow \boldsymbol{R B r} \)
The number of moles of alcohol that
may be converted into alkyl bromide by
one mole of \( \boldsymbol{P} \boldsymbol{B r}_{3} \) is:
A . 1 mole
B. 2 mole
c. 3 mole
D. none of the above
Subject: Chemistry
\( \boldsymbol{H}_{2} \boldsymbol{S} \) react with \( \boldsymbol{O}_{2} \) in restricted supply
of \( \boldsymbol{O}_{2} \) to form:
A \( \cdot H_{2} S+S \)
в. \( H_{2} S+S O_{2} \)
c. \( H_{2} S+S O_{3} \)
D. \( H_{2} S O_{4}+S \)
Subject: Chemistry
\( C_{6} H_{5} C H_{3} \frac{C r O_{2} C l_{2}}{\longrightarrow} A \stackrel{H_{2} O}{\longrightarrow} B \)
The functional group present in \( \mathrm{B} \) and name of the reaction would be :
A. \( -C H O \), Gattermann aldehyde synthesis
B. \( -C H O \), Etard reaction
c. \( -C O C H_{3} \), Friedel Crafts reaction
D. \( -C H O \), Oxo reaction
Subject: Chemistry
11. If
with different initial concentrations of \( \mathbf{A} \)
and \( \mathrm{B} \), the initial rate of reaction were
determined graphically in four
experiments. Find the rate of reaction \( (r \)
)
\( A \)
\( r=k[A]^{2}[B]^{2} \)
\( \mathbf{B} \cdot r=k[A]^{2}[B] \)
\( \mathbf{c} \cdot r=k[A][B]^{2} \)
D. \( r=k[A][B \)
Subject: Physics
Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is \( 2 \mathrm{cm}, \) then how much is the elongation in steel and
copper wire respectively? Given \( Y_{\text {steel}} \) \( =20 \times 10^{11} \mathrm{dyne} / \mathrm{cm}^{2}, Y_{\text {copper}}=12 \times 10^{11} \)
dyne /cm \( ^{2} \)
A . \( 1.25 \mathrm{cm} ; 0.75 \mathrm{cm} \)
B. 0.75 \( \mathrm{cm} ; 1.25 \mathrm{cm} \)
c. \( 1.15 \mathrm{cm} ; 0.85 \mathrm{cm} \)
D. \( 0.85 \mathrm{cm} ; 1.15 \mathrm{cm} \)
Subject: Chemistry
Empirical formula of an ingredient in
buffering tablets that has the per cent composition \( \boldsymbol{C}: \mathbf{1 4} . \mathbf{2 5} \%, \boldsymbol{O} \)
\( \mathbf{5 6 . 9 3 \%}, \boldsymbol{M g}: \mathbf{2 8 . 8 3 \%} \) by mass is
\( \boldsymbol{C O}_{3} \boldsymbol{M} \boldsymbol{g} \)
If true enter 1 , else enter 0 .
Subject: Maths
Find ten rational numbers between \( \frac{-2}{5} \) and \( \frac{1}{2} \)
A \( \frac{-7}{20}, \frac{-11}{20}, \frac{-5}{20}, \frac{-4}{20}, \frac{-3}{20}, \frac{-2}{20}, \frac{-1}{20}, 0, \frac{1}{20} \) and \( \frac{2}{20} \)
B. \( \frac{-7}{20}, \frac{-6}{20}, \frac{-5}{20}, \frac{-4}{20}, \frac{-3}{20}, \frac{-2}{20}, \frac{-1}{20}, 0, \frac{1}{20} \) and \( \frac{2}{20} \)
C. \( \frac{-7}{20}, \frac{-6}{20}, \frac{-5}{20}, \frac{-4}{20}, \frac{-3}{20}, \frac{-2}{20}, \frac{-1}{20}, 0, \frac{1}{20} \) and \( \frac{13}{20} \)
D. \( \frac{-7}{20}, \frac{-6}{20}, \frac{-5}{20}, \frac{-4}{20}, \frac{-3}{20}, \frac{-2}{20}, \frac{-1}{20}, 0, \frac{15}{20} \) and \( \frac{2}{20} \)
Subject: Maths
\( f(x)=\frac{x^{2}-16}{x-4}+a \) for \( x<4 \)
\[
=\mathbf{3} x^{2}+4 x+b, \quad \text { for } \quad x>4
\]
continuous at \( x=4, \) find \( a \) and \( b \)
Subject: Chemistry
The shapes \( \boldsymbol{P C l}_{4}^{+}, \boldsymbol{P C l}_{4}^{-} \) and \( \boldsymbol{A} \boldsymbol{s} \boldsymbol{C l}_{5} \)
are respectively:
A. square planar, tetrahedral and see-saw
B. tetrahedral, see-saw and trigonal bipyramidal
c. tetrahedral, square planar and pentagonal bipyramidal
D. trigonal bipyramidal, tetrahedral and square pyramidal
Subject: Maths
\( \lim _{n \rightarrow \infty} \sum_{r=1}^{4 n} \frac{1}{n+r} \)
\( \mathbf{A} \cdot \log _{e} 5 \)
B. 0
\( \mathbf{c} \cdot \log _{e} 4 \)
D. none of these
Subject: Maths
\( A B C \) is an equilateral triangle of side \( a \) The value of \( \overrightarrow{\boldsymbol{A B}} \cdot \overrightarrow{\boldsymbol{B C}}+\overrightarrow{\boldsymbol{B C}} \cdot \overrightarrow{\boldsymbol{C A}}+ \)
\( \overrightarrow{C A} \cdot \overrightarrow{A B} \) is equal to
A \( \cdot \frac{3 a^{2}}{2} \)
В. \( 3 a^{2} \)
c. \( -\frac{3 a^{2}}{2} \)
D. None of these
Subject: Chemistry
Following reaction describes the rusting
of iron.
\( 4 F e+3 O_{2} \rightarrow 4 F e^{3+}+6 O^{2-} \)
Which one of the following statement is (are) correct?
This question has multiple correct options
A. This is an example of a oxidation reaction
B. Metallic iron is oxidised to \( F e^{3} \)
c. \( F e^{3+} \) is an oxidizing agent
D. Metallic iron is a strong reducing agent
Subject: Chemistry
Which of the following statements is
not correct about the electron gain
enthalpy?
A. In general, the electron gain enthalpy becomes less negative in going from top to bottom in a group.
B. The electron gain enthalpy becomes less negative in a period from left to right.
C. The elements having stable configuration like noble gases have large positive electron gain enthalpies.
D. Electron gain enthalpy of O or F is less than that of succeeding element.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{2} & -\mathbf{3} \\ \mathbf{4} & \mathbf{1}\end{array}\right], \) then adjoint of matrix
\( A \) is
A. \( \left[\begin{array}{cc}1 & 3 \\ -4 & 2\end{array}\right] \)
В. \( \left[\begin{array}{cc}1 & -3 \\ -4 & 2\end{array}\right] \)
c. \( \left[\begin{array}{cc}1 & 3 \\ 4 & -2\end{array}\right] \)
D. \( \left[\begin{array}{cc}-1 & -3 \\ -4 & 2\end{array}\right] \)
Subject: Biology
Downward flow of organic and even some inorganic solutes takes place
from the leaves through the stem by way of
A. Phloem by protoplasmic streaming
B. All parenchymatous cells of the stem by diffusion of
C. Phloem by mass flow of solutes from higher turgor pressure of leaf mesophyll cells along a turgor pressure gradient in phloem cells
D. Phloem by diffusion
Subject: Physics
The coercivity of a magnet is \( 3 x \)
\( 10^{3} A m^{-1} . \) What current should be
passed through a solenoid of length \( 10 \mathrm{cm} \) and number of turns 50 that the
magnet is demagnetized when inserted in it?
A \( .3 A \)
в. \( 6 A \)
c. \( 9 A \)
D. \( 12 A \)