AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Calculate \( \boldsymbol{E}^{\circ} \) of the following half-cell
reaction at \( 298 K \)
\( \boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{H}_{3} \)
\( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g} ; \boldsymbol{E}_{A \boldsymbol{g}^{+} / A \boldsymbol{g}}^{\circ}=\mathbf{0 . 8 0} \boldsymbol{V} \)
\( \boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}^{+} \rightleftharpoons \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{H}_{3} ; \boldsymbol{K}=\boldsymbol{6} \times \)
\( 10^{-8} \)
Subject: Maths
Find the position vector of a point \( \boldsymbol{R} \)
which divides the line joining two
points \( P \) and \( Q \) whose position vectors \( \operatorname{are} \hat{\boldsymbol{i}}+\boldsymbol{2} \hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \) and \( -\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \)
respectively, in the ratio 2: 1
(i) internally
(ii) externally
Subject: Maths
If the position vector of a point \( \boldsymbol{A} \) is \( \vec{a}+\overrightarrow{2 b} \) and \( \vec{a} \) divides \( \overrightarrow{A B} \) in the ratio
\( 2: 3, \) then the position vector of \( B \) is
A \( \cdot \overrightarrow{2 a}-\vec{b} \)
B . \( \vec{b}-\overrightarrow{2 a} \)
c. \( \vec{a}-\overrightarrow{3 b} \)
D. \( \vec{b} \)
Subject: Physics
If the mass of the moving object is decreased \( 1 / 4 \) of its mass and its
velocity is increased to twice its previous velocity, what will be the kinetic energy of the object from the following?
A. \( 1 / 2 \) of the previous kinetic energy
B. 4 times of previous kinetic energy
c. Kinetic energy will remain constant
D. 2 times of the previous kinetic energy
Subject: Physics
toppr
Q Type your question
uniform speed \( 20 \mathrm{m} / \mathrm{sec} . \) Size of
magnet is \( 2 \times 1 \times 2 \mathrm{cm} \) and size of coil
\( 4 \times 6 \mathrm{cm} \) as shown in figure. The correct
variation of induced emf with time is :
(Assume at \( t=0, \) the coil enters in the
magnetic field)
4
3
\( c \)
\( D \)
Subject: Chemistry
The rms velocity of hydrogen is \( \sqrt{7} \) times the rms velocity nitrogen. If \( \boldsymbol{T} \) is
the temperature of the gas.
\( \mathbf{A} \cdot T\left(H_{2}\right)=T\left(N_{2}\right) \)
B . \( T\left(H_{2}\right)>T\left(N_{2}\right) \)
c. \( T\left(H_{2}\right)<T\left(N_{2}\right) \)
D. \( T\left(H_{2}\right)=\sqrt{7} T\left(N_{2}\right) \)
Subject: Maths
Calculate the mode
\( \begin{array}{ccccccc}\boldsymbol{x} & 3 & 6 & 9 & 12 & 15 & 18 \\ f & 6 & 8 & 11 & 4 & 10 & 7\end{array} \)
\( \mathbf{A} \cdot \mathbf{9} \)
B. 11
c. 12
D. 15
Subject: Physics
A LC-circuit contains a \( 20 m H \) inductor
and a \( 50 \mu F \) capacitor with an initial
charge of \( 10 m C . \) The resistance of the
circuit is negligible. Let the instant the
circuit is closed be \( t=0 \)
(a) What is the total energy stored initially. Is it conserved during the LCoscillations?
(b) What is the natural frequency of the circuit?
(c) At what times is the energy stored?
(i) completely electrical (ie., stored in the capacitor)?
(ii) completely magnetic (i.e., stored in the inductor)?
(d) At what time is the total energy shared equally between the inductor and the capacitor
Subject: Chemistry
0.15 mole of pyridium chloride has been
added into \( 500 c m^{3} \) of \( 0.2 M \) pyridine
solution. Calculate pH and hydroxyl ion concentration in the resulting solution assuming no change in volume. \( \left(K_{b} \text { for pyridine }=1.5 \times 10^{-9} M\right) \)
Subject: Physics
Two resistances \( r_{1}=(5.0 \pm 0.2) \Omega \) and
\( r_{2}=(10.0 \pm 0.1) \Omega \) are connected in
parallel. Find the value of equivalent resistance with limits of percentage
error.
A \( \cdot r_{p}=4 \Omega \pm 7 \% \)
B . \( r_{p}=3.3 \Omega \pm 14 \% \)
\( \mathbf{c} \cdot r_{p}=3.3 \Omega \pm 3.5 \% \)
D . \( r_{p}=3.3 \Omega \pm 7 \% \)
Subject: Chemistry
The atomic number of three elements
\( A, B \) and \( C \) are \( a, a+1 \) and \( a+2 \)
respectively. If \( C \) is an alkali metal, then
the nature of bonding in the compound of \( A \) and \( C \) is
A. co-ordinate
B. covalent
c. ionic
D. metallic
Subject: Maths
Find the co-ordinates of the points on the join of (-3,7,-13) and (-6,1,-10) which is nearest to the intersection of the planes: \( 3 x-y- \)
\( \mathbf{3} z+\mathbf{3 2}=\mathbf{0} \) and \( \mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y}-\mathbf{1 5 z}-\mathbf{8}= \)
0
Subject: Maths
The slope and the y-intercept of the given line, \( 2 x-3 y=7 \) are respectively
A \( \cdot \frac{3}{2}, \frac{-3}{7} \)
B. \( \frac{2}{3}, \frac{-7}{3} \)
\( c \cdot \frac{3}{2}, \frac{3}{7} \)
D. \( \frac{2}{3}, \frac{7}{3} \)
Subject: Biology
Match column I with column II and
select the correct option from the given codes.
Column I Column I I
(i) Vegetation which modifies its
A. Pioneers \( \quad \) own environment and thus causing its own replacement
B.
(ii) Replacement of existing Autogenic community by external conditions successic
c.
(iii) Establishment of organisms in Allogenic an area into which they have come by dispersal or migration
D. Ecesis
(iv) Primary colonizers
A. A-(iv), B-(i), C-(ii), D-(iii)
B. A-(i), B-(ii), C-(iii), D-(iv)
c. A-(ii), B-(i), C-(iv), D-(iii)
D. A-(i), B-(iv), C-(iii) D-(ii)
Subject: Chemistry
Elements \( X \) and \( Y \) are from two different
compounds. In the first, 0.324 g of \( X \) is combined with 0.471 g of \( Y \). In second, 0.117 g of \( X \) is combined with 0.509 g of
Y. State the law illustrated by these chemical combinations.
A. Law of constant proportion
B. Law of multiple proportion
c. Law of reciprocal proportion
D. None of these
Subject: Physics
A square loop of uniform conducting
wire is as shown in figure.A current \( \boldsymbol{I} \) (in
ampere) enters the loop from one end
and exits the loop from opposite end as
shown in figure.

The length of one side of square loop is \( l \)
meter.The wire has uniform cross-
section area and uniform linear mass
density. The magnetic field is in Tesla and force is in newton.
Subject: Chemistry
Assertion
Heat of combustion is always negative.
Reason

Heat of combustion is used to calculate
the calorific value of fuels.
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
Two liquids \( A \) and \( B \) have vapour
pressures in the ratio \( P_{A}^{0}: P_{B}^{0}=2: 3 \) at
a certain temperature. Assuming that \( \mathbf{A} \) and \( \mathrm{B} \) form an ideal solution and ratio of
mole fractions of \( A \) and \( B \) in the vapour
phase is \( 1: 3, \) then the mole fraction of \( \mathbf{A} \) in the solution at the same temperature
is :
A \( \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
c. \( \frac{1}{4} \)
D. \( \frac{3}{4} \)
Subject: Physics
A step down transformer is used on
\( 1000 V \) line to deliver \( 20 A \) at \( 120 V \) at
the secondary coil. If the efficiency of
the transformer is \( 80 \% \) the current
drawn from the line is
\( \mathbf{A} \cdot 3 A \)
в. 30 А
\( \mathbf{c} \cdot 0.3 A \)
D. 2.4 \( A \)
Subject: Maths
Find the sum of the digits of the value
of \( \boldsymbol{y}(\log \mathbf{4}) \) if \( \boldsymbol{y}_{2}-\mathbf{7} \boldsymbol{y}_{1}+\mathbf{1} \boldsymbol{2} \boldsymbol{y}= \)
\( \mathbf{0}, \boldsymbol{y}(\mathbf{0})=\mathbf{2}, \boldsymbol{y}_{1}(\mathbf{0})=\mathbf{7} \)
Subject: Physics
A copper wire of length \( 2.4 m \) and a steel
wire of length \( 1.6 m, \) both the diameter
\( 3 m m, \) are connected end to end. When
stretched by a load, the net elongation is found to be \( 0.7 m m \). The load applied
is
\( \left(\boldsymbol{Y}_{\text {copper}}=\mathbf{1 . 2} \times \mathbf{1 0}^{\mathbf{1 1}} \mathbf{N} \quad \boldsymbol{m}^{-2}, \boldsymbol{Y}_{\text {steel}}=\right. \)
A . \( 1.2 \times 10^{2} N \)
B. \( 1.8 \times 10^{2} N \)
c. \( 2.4 \times 10^{2} N \)
D. \( 3.2 \times 10^{2} N \)
Subject: Physics
A uniform but time-varying magnetic
field \( B_{(t)} \) exists in a circular region of radius a and is direction into the plane
of the paper, as shown in the figure. The magnitude of the electric field at point \( P \) at a distance \( r \) from the centre of the
circular region
\( A \). is zero
B. decreases as \( 1 / r \)
c. increases as
D. decrease as \( 1 / r^{2} \)
Subject: Physics
Find the maximum potential a \( \boldsymbol{C u} \) ball (isolated) can have when irradiated with a wavelength \( \lambda=140 n m \)
\( \left[\phi_{C u}=4.47 \mathrm{eV}\right] \)
A . \( 4.47 V \)
B. 8.86 \( V \)
c. \( 13.33 V \)
D. 4.39 \( V \)
Subject: Maths
Probability \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 7}, \boldsymbol{P}(\boldsymbol{B})= \)
\( \mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{0 . 3}, \) then \( \boldsymbol{P}\left(\boldsymbol{A} \cap \boldsymbol{B}^{\prime}\right) \) is
equal to
A . \( 0 . \)
в. 0.3
\( c .0 .2 \)
D. 0.4
Subject: Biology
The food we take in our body travels through a long and complex path. Which starts from mouth and ends at anus?
Which is the correct sequence of
process on food in digestive system?
A. Digestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion \( \rightarrow \) Ingestion
B. Ingestion \( \rightarrow \) Egestion \( \rightarrow \) Digestion \( \rightarrow \) Absorption
c. Digestion \( \rightarrow \) Ingestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion
D. Ingestion \( \rightarrow \) Digestion \( \rightarrow \) Absorption \( \rightarrow \) Egestion
Subject: Chemistry
Balance the following ionic equations
(i) \( \boldsymbol{C} \boldsymbol{r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-}+\boldsymbol{H}^{+}+\boldsymbol{I}^{-} \rightarrow \boldsymbol{C} \boldsymbol{r}^{\boldsymbol{3}+}+ \)
\( \boldsymbol{I}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
(ii) \( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-}+\boldsymbol{F} \boldsymbol{e}_{2}^{+}+\boldsymbol{H}^{+} \rightarrow \boldsymbol{C r}^{3+}+ \)
\( \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{3}+}+\boldsymbol{H}_{2} \boldsymbol{O} \)
(iii) \( M n O^{4-}+S O_{3}^{2-}+H^{+} \rightarrow \)
\( M n^{2+}+S O_{4}^{2-}+H_{2} O \)
(iv) \( M n O^{4-}+H^{+}+B r^{-} \rightarrow M n^{2+}+ \)
\( \boldsymbol{B} \boldsymbol{r}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
Subject: Maths
In solving an equation of the form \( a x+ \)
\( b=0 \) (a,b having only 1 as the common factor \( ), A \) made a mistake in copying \( b \) and \( \operatorname{got} \frac{7}{3} \) as the root whereas \( B \) made a mistake in copying \( a \) and \( \operatorname{got} \frac{8}{5} \) as the
root. The correct root is
\( A \cdot \frac{7}{5} \)
B. \( \frac{3}{8} \)
\( c \cdot \frac{8}{3} \)
D. \( \frac{8}{5} \)
Subject: Physics
Two drops of small radius are falling in
air with constant velocity \( 5 \mathrm{cm} s^{-1} . \) If
they coalesce, then the terminal velocity will be
A. \( 10 \mathrm{cms}^{-1} \)
B . \( 2.5 \mathrm{cms}^{-1} \)
c. \( 5 \times \sqrt[3]{4 c m s^{-1}} \)
D. \( 5 . \sqrt{2} \mathrm{cm} \mathrm{s}^{-1} \)
Subject: Chemistry
Assertion
Cesium is useful as electrodes in
photoelectric cells.
Reason
Light energy absorbed by cesium is sufficient to make an atom of cesium to
lose an electron
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: Chemistry
If the molar conductivities (in \( \mathrm{S} \mathrm{cm}^{2} \)
\( \mathrm{mol}^{-1} \) ) of \( \mathrm{NaCl} \), \( \mathrm{KCl} \) and \( \mathrm{NaOH} \) at infinite
dilution are 126,150 and 250
respectively, the molar conductivity of KOH is:
\( \left[\operatorname{in} \mathrm{S} \mathrm{cm}^{2} \mathrm{mol}^{-1}\right] \)
A .526
в. 226
c. 26
D. 274
Subject: Maths
The area \( (\text { in } s q . \text { units }) \) of the
parallelogram whosed diagonals along the vectors \( 8 \hat{i}-6 \hat{j} \) and \( 3 \hat{i}+4 \hat{j}-12 \hat{k} \)
is:
A . 20
B. 65
\( c .52 \)
D. 26
Subject: Chemistry
In which of the following processes is nitrogen oxidized?
A \( \cdot N H_{4}^{\oplus} \rightarrow N_{2} \)
B \( . N O_{3}^{\ominus} \longrightarrow N O \)
\( \mathrm{c} \cdot \mathrm{NO}_{2} \longrightarrow \mathrm{NO}_{2}^{\circ} \)
D. \( N O_{3}^{\ominus} \longrightarrow N H_{4}^{\oplus} \)
Subject: Maths
See figure and complete the following
statements.

The \( x \) -coordinate and \( y \) -coordinate of the
point \( \boldsymbol{L} \) are and
respectively. Hence the coordinate of \( L \)
are
A \( .-5,-4,(-5,-4) \)
B. -5,-3,(-5,-4)
c. -5,4,(-5,-4)
D. 5,-4,(-5,-4)
Subject: Maths
In a \( \triangle A B C, \angle A \) is greater than \( \angle B \). If
the measures of \( \angle A \) and \( \angle B \) satisfy the
equation \( 2 \tan x-k\left(1+\tan ^{2} x\right)=0 \)
where \( k \epsilon(0,1), \) then the measure of the
\( \angle C \) is
A.
в.
\( c \cdot \frac{5 \pi}{12} \)
D.
Subject: Physics
For moon its mass is \( \frac{1}{81} \) of earth's mass
and its diameter is \( \frac{1}{3.7} \) of earth's
diameter. If acceleration due to gravity of earth surface is \( 9.8 m / s^{2}, \) then at moon its value is
A \( \cdot 2.86 m / s^{2} \)
B . \( 1.65 m / s^{2} \)
\( \mathbf{c} \cdot 8.65 m / s^{2} \)
D. \( 5.16 m / s^{2} \)
Subject: Physics
A physical balance has its arms of
length \( 60 \mathrm{cm} \) and \( 40 \mathrm{cm} . \) What weight kept on pan of longer arm will balance an object of weight \( 100 g f \) kept on other pan?
A. \( 33.33 g f \)
\( f \)
в. \( 66.67 g f \)
\( c .50 g f \)
D. \( 16.67 g f \)
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{3} & \boldsymbol{a} \\ \mathbf{- 4} & \mathbf{8}\end{array}\right], \boldsymbol{B}= \)
\( \left[\begin{array}{cc}\boldsymbol{c} & \boldsymbol{4} \\ -\boldsymbol{3} & \boldsymbol{0}\end{array}\right], \boldsymbol{C}=\left[\begin{array}{cc}-\mathbf{1} & \boldsymbol{4} \\ \boldsymbol{3} & \boldsymbol{b}\end{array}\right] \& \boldsymbol{3} \boldsymbol{A}- \)
\( 2 B=6 C, \) find the values of \( a, b \) and \( c \)
Subject: Chemistry
The number of photons emitted in 10 hours by a \( 60 \mathrm{W} \) sodium lamp are:
(take \( \lambda \) of photon \( =6000 \mathrm{A}, h c=12400 \)
eVA, \( h= \) Planck's constant, \( c= \) speed of
light)
A \( \cdot 6.50 \times 10^{24} \)
B. \( 6.40 \times 10^{23} \)
c. \( 8.40 \times 10^{23} \)
3
D. 3.40 \( \times 10^{23} \)
Subject: Chemistry
For the reaction \( 4 N H_{3}+5 O_{2} \rightarrow \)
\( 4 N O+6 H_{2} O, \) if the rate of
disappearance of \( N H_{3} \) is \( 3.6 \times \)
\( 10^{-3} \) mol \( L^{-1} s^{-1}, \) what is the rate of
formation of \( \boldsymbol{H}_{2} \boldsymbol{O} \) ?
A \( \cdot 5.4 \times 10^{-3} \) mol \( L^{-1} s^{-1} \)
B. \( 3.6 \times 10^{-3} \) mol \( L^{-1} s^{-1} \)
D. \( 0.6 \times 10^{-4} \) mol \( L^{-1} s^{-1} \)
Subject: Maths
If \( A \) and \( B \) are two event such that
\( P(A)=\frac{3}{4} \) and \( P(B)=\frac{5}{8}, \) then
\( ^{\mathbf{A}} \cdot P(A \cup B) \geq \frac{3}{4} \)
В. \( P(\bar{A} \cap B) \leq \frac{1}{4} \)
c. \( \frac{3}{8} \leq P(A \cap B) \leq \frac{5}{8} \)
D. All of these
Subject: Physics
An air bubble in a glass with refractive
index 1.5 (near normal incidence) i.e.
\( 5 \mathrm{cm} \) deep when viewed from one
surface and \( 3 \mathrm{cm} \) deep when viewed
from the opposite face. The thickness(in
cm) of the is.
A . 16
B. 8
c. 10
D. 12.5
Subject: Physics
Statement-1: The resistivity of
a semiconductor decreases with
increases of temperature
Statement-2: In a conducting solid, the rate of collision between free electrons
and ions increases with the increase of
temperature
A. Statement-1 is true and Statement-2 is correct explanation for Statement-
B. Statement-1 is true and Statement-2 is NOT the correct explanation for Statement-
c. Statement- 1 is true, Statement- 2 is false
D. Statement-1 is false, Statement-2 is true
Subject: Maths
The function \( \mathbf{f}(\mathbf{x})=\frac{\cos \boldsymbol{x}-\sin \boldsymbol{x}}{\cos \mathbf{2} \boldsymbol{x}} \) is not
defined at \( x=\frac{\pi}{4} \) The value of \( f\left(\frac{\pi}{4}\right) \) so that \( \mathbf{f}(\mathbf{x}) \) is continuous at \( \boldsymbol{x}=\frac{\boldsymbol{\pi}}{\mathbf{4}} \) is
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \sqrt{2} \)
\( c \cdot-\sqrt{2} \)
D.
Subject: Physics
A potentiometer wire of length \( 100 \mathrm{cm} \) has a resistance of 10 ohm. it is connected in series with a resistance
and an accumulator of e.m.f \( 2 \mathrm{V} \) and of
negligible internal resistance. A source of e.m.f. \( 10 \mathrm{m} \) V is balanced against a length of \( 40 \mathrm{cm} \) of the potentiometer wire. What is the value of external
resistance?
A. 480 ohm
B. 1120 ohm
c. 790 ohm
D. 640 ohm
Subject: Chemistry
IUPAC name of the following compound
is :
A. 6 -ethyl-1,4, 6-octanetrioic acid
B. 5-Ethyl -hexane-1, 3, 6-tricarboxylic acid
C. 3-ethyl-5-carboxyoctanedioic acid
D. 4-carboxy-6-ethyloctanedioic acid
Subject: Maths
If \( f(x)=\frac{80}{3 x^{4}+8 x^{3}-18 x^{2}+60}, \) then
the points of local maxima for the
function \( \boldsymbol{f}(\boldsymbol{x}) \) are
A . 1,3
в. -3,1
c. -1,3
D. -1,-3
Subject: Chemistry
Correct order at \( C \) -H bond dissociation
energy of following compound:
(।) \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{H} \)
(II) \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{H} \)
\( (\| I) C H_{3}=C H-C H_{2}-H \)
\( (I V) C_{6} H_{5}-H \)
\( A \cdot|>||>|||>\mid V \)
B. IV>|||> || > |
c. IV>1> || > |||
D. II>I>VI>III
Subject: Maths
If the angles made by a straight line with the coordinate axes are \( \alpha, \frac{\pi}{2}- \) \( \boldsymbol{\alpha}, \boldsymbol{\beta} \) then \( \boldsymbol{\beta}= \)
A . 0
в. \( \frac{\pi}{6} \)
c. \( \frac{\pi}{2} \)
\( D \)
Subject: Chemistry
What is the amount of urea dissolved
per litre, if aqueous solution is isotonic with \( 10 \% \) cane sugar solution: (mol. wt of urea \( =\mathbf{6 0} \) )?
A \( .200 g / L \)
в. \( 19.2 g / L \)
c. \( 17.54 g / L \)
D. \( 16.7 g / L \)
Subject: Chemistry
Assertion
\( \left[\boldsymbol{F e}(\boldsymbol{E} \boldsymbol{D} \boldsymbol{T} \boldsymbol{A})^{-} \) complex is octahedral in \right.
shape.
Reason
EDTA (Ethylenediaminetetraacetic acid) is a hexadentate ligand and
undergoing \( s p^{3} d^{2} \) hybridisation.
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: Chemistry
The ionisation energy of the hydrogen atom is given to be \( 13.6 \mathrm{eV} \). A photon falls on a hydrogen atom which is initially in the ground state and excites it to the \( (n=4) \) state.
The wavelength of the photon is:
A \( \cdot 973.5 \AA \)
B \( \cdot 210 \stackrel{\circ}{A} \)
\( \mathrm{c} \cdot 389.3 \stackrel{\circ}{\mathrm{A}} \)
D. \( 849.6 \AA^{\circ} \)
Subject: Maths
The S.D. of the following freq. dist.
\( \begin{array}{lllll}\text { class } & \begin{array}{c}0 \\ 10\end{array} & \begin{array}{c}10 \\ 20\end{array} & \begin{array}{c}20 \\ 30\end{array} & \begin{array}{c}30- \\ 40\end{array}\end{array} \)
2 \( f_{i} \quad 1 \quad 3 \)
A . 7.8
B. 9
c. \( 8 . \)
D. 0.9
Subject: Maths
Shew that \( \left(a^{2}+b^{2}+c^{2}-b c-c a-\right. \)
\( \boldsymbol{a b})\left(\boldsymbol{x}^{2}+\boldsymbol{y}^{2}+\boldsymbol{z}^{2}-\boldsymbol{z}^{2}-\boldsymbol{y} \boldsymbol{z}-\boldsymbol{z} \boldsymbol{x}-\boldsymbol{x} \boldsymbol{y}\right) \)
may be put into the form \( A^{2}+B^{2}+ \)
\( C^{2}-B C-C A-A B \)
Subject: Chemistry
Which of the following statement is
correct?
\( \mathbf{A} \cdot \) The \( p H \) of one litre solution containing \( 0.49 \mathrm{g} \) of \( H_{2} S O_{4} \) is 2.0
B. The conjugate base of \( H_{2} S \) is \( S^{-2} \)
\( \mathrm{C} \cdot B F_{3} \) is Lewis base
D. Phenolphthalein is colorless in basic medium
Subject: Maths
If two vertices of a triangle \( A B C \) are \( A(-1,2,4) \) and \( B(2,-3,0), \) and the
centroid is (2,0,2) then the vertex \( C \) has the coordinates
A. (5,1,2)
в. \( \left(1,-\frac{1}{3}, \frac{7}{3}\right) \)
\( ^{\mathbf{C}} \cdot\left(3,-\frac{2}{3}, \frac{5}{3}\right) \)
D. none of these
Subject: Physics
Two strips of metal are riveted together at their ends by four rivets, each of
diameter 6 m \( m \). Assume that each rivet
is to carry one quarter of the load. If the shearing stress on the rivet is not to exceed \( 6.9 \times 10^{7} P a \), the maximum
tension that can be exerted by the riveted strip is then
A \( \cdot 2 \times 10^{3} N \)
B. \( 3.9 \times 10^{3} N \)
c. \( 7.8 \times 10^{3} N \)
D. \( 15.6 \times 10^{3} N \)
Subject: Chemistry
How much will the reduction potential of a hydrogen electrode change when its solution initially at \( \mathrm{pH}=0 \) is neutralised to \( \mathrm{pH}=7 ? \)
A. Increases by \( 0.059 \mathrm{V} \)
B. Decreases by \( 0.059 \mathrm{V} \)
c. Increases by \( 0.41 V \)
D. Decreases by \( 0.41 V \)
Subject: Maths
Anita takes a loan of \( \boldsymbol{R} \boldsymbol{s} . \mathbf{5}, \boldsymbol{0} \boldsymbol{0} \boldsymbol{0} \) for
donating books to the poor, at \( 15 \% \) per year as rate of interest. Find the interest
she has to pay at end of three years. What value depicted from this?
Subject: Maths
Solve: \( \frac{\mathbf{2 0}}{\boldsymbol{x}+\boldsymbol{y}}+\frac{\mathbf{3}}{\boldsymbol{x}-\boldsymbol{y}}=\mathbf{7} \) and
\( \frac{8}{x-y}-\frac{15}{x+y}=5 \)
A. \( x=3 \) and \( y=2 \)
B. \( x=2 \) and \( y=7 \)
c. \( x=9 \) and \( y=4 \)
D. \( x=1 \) and \( y=9 \)
Subject: Physics
A square frame of side carries i produces a field \( B \) at its centre. The
same current is passed through a circular coil having the same perimeter as the square. The field at the centre of circular coil is \( \mathrm{B} \) '. Find the ratio of \( \left(\mathrm{B}^{\prime} / \mathrm{B}\right) \).
A. \( \frac{\pi^{2}}{3 \sqrt{2}} \)
В. \( \frac{\pi^{2}}{5 \sqrt{2}} \)
c. \( \frac{\pi^{2}}{7 \sqrt{2}} \)
D. \( \frac{\pi^{2}}{8 \sqrt{2}} \)
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{Z} \rightarrow \boldsymbol{Z} \) be given by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{x}{2}, & \text { if } x \text { is even } \\ 0, & \text { if } x \text { is odd }\end{array} . \text { Then, } f \) is \right.
A. onto but not one-one
B. one-one but not onto
c. one-one and onto
D. neither one-one nor onto
Subject: Chemistry
When ferrous oxalte is titrated against
\( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) m eq. of \( \boldsymbol{F} \boldsymbol{e}^{2+}, \boldsymbol{C}_{2} \boldsymbol{O}_{4}^{2-} \) and
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-} \) in the redox reaction are \( \boldsymbol{X}, \boldsymbol{Y} \)
and \( Z \) respectively, then:-
A \( . X=Y \)
в. \( X+Y=Z \)
c. \( X+2 Y=Z \)
D. \( 2 X+6 Y+6 Z \)
Subject: Maths
A letter is known to have come eithe
from London or Clifton; on the post only the consecutive letters ON are legible; what is the chance that it came from
London?
A \( \cdot \frac{12}{17} \)
в. \( \frac{5}{17} \)
c. \( \frac{5}{12} \)
D. \( \frac{7}{12} \)
Subject: Chemistry
A solution of \( X Y(100 \% \) ionised has osmotic pressure equal to four times
the osmotic pressure of \( 0.01 \mathrm{MBaCl}_{2} \) 100\% ionised ). Find the molarity of \( \boldsymbol{X} \boldsymbol{Y} \)
A \( \cdot 6 \times 10^{-2} M \)
В. \( 3 \times 10^{-2} M \)
c. \( 4 \times 10^{-2} M \)
D. \( 12 \times 10^{-2} M \)
Subject: Maths
\( \int \frac{\cos x}{\sin ^{2} x \cdot(\sin x+\cos x)} d x \) is equal to
\( \mathbf{A} \cdot \log \left|\frac{1+\tan x}{\tan x}\right|-\cot x+C \)
\( ^{\mathbf{B}} \cdot \log \left|\frac{1+\tan x}{\tan x}\right|+C \)
\( ^{\mathbf{C}} \log \left|\frac{1+\tan x}{\tan x}\right|-\tan x+C \)
D \( \cdot \log \left|\frac{1+\tan x}{\tan x}\right|+\cot x+C \)