AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The formula for calculating \( \bar{M}_{w} \) of a polymer is:
A. \( \frac{\sum N i M i}{\sum N i} \)
в. \( \frac{\sum N i M i}{\sum M i} \)
c. \( \frac{\sum_{N i M i}^{2}}{\sum M i} \)
D. \( \frac{\sum N i M i^{2}}{\sum N N M i} i \)
Subject: Maths
Let \( A_{1}, A_{2} \) be two arithmetic means,
\( G_{1}, G_{2} \) be two geometric means and
\( \boldsymbol{H}_{1}, \boldsymbol{H}_{2} \) be two harmonic means
between two positive numbers a and b. The value of \( \frac{\boldsymbol{G}_{1} \boldsymbol{G}_{2}}{\boldsymbol{H}_{1} \boldsymbol{H}_{2}} \cdot \frac{\boldsymbol{H}_{1}+\boldsymbol{H}_{2}}{\boldsymbol{A}_{1}+\boldsymbol{A}_{2}} \) is
A \( \cdot 1 / 2 \)
B.
\( c \cdot 3 / 2 \)
\( D \)
Subject: Chemistry
In which one of the following reactions
does ozone act as a reducing agent?
A. \( B a O_{2}+O_{3} \rightarrow B a O+2 O_{2} \)
в. \( 2 H C l+O_{3} \rightarrow C l_{2}+H_{2} O+O_{2} \)
c. \( P b S+4 O_{3} \rightarrow P b S O_{4}+4 O_{2} \)
D. \( 2 K I+O_{3}+H_{2} O \rightarrow 2 K O H+I_{2}+O_{2} \)
Subject: Chemistry
Ethanoic acid is a member of
homologous series with general
formula \( C_{n} H_{2 n+1} C O O H \)
i) Name the series and give its
functional group.
ii) Give the molecular formula and the
common name of ethanoic acid.
iii) If this compound is mixed with
ethanol in the presence of Conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) a sweet smelling compound is formed. Give the equation and name the compound.
iv) Ethanoic acid reacts with
carbonates. Which gas is liberated
during this reaction?
v) Write the balanced equation for the
reaction of ethanoic acid with
carbonate.
vi) Your grandmother has prepared mango pickle. What has she added to preserve it for a long time?
Subject: Physics
A proton, a deutron and an \( \alpha \) -particle with same kinetic energy enter perpendicularly in a uniform magnetic
field, then the ratio of radii of their
circular paths is
B . \( \sqrt{2}: 1: 1 \)
c. \( 1: \sqrt{2}: 1 \)
D. \( 1: 2: \sqrt{2} \)
Subject: Physics
The index of refraction of diamond is
2.0. The velocity of light in diamond in cm/s is -
A \( .6 \times 10^{10} \)
В. \( 2 \times 10^{10} \)
C \( .3 \times 10^{10} \)
D. \( 1.5 \times 10^{10} \)
Subject: Maths
If \( \theta \) is the angle between two lines
whose d.cs are \( l_{1}, m_{1}, n_{1} \) and \( l_{2}, m_{2}, n_{2} \)
then
\( \frac{\Sigma\left(l_{1}+l_{2}\right)^{2}}{4 \cos ^{2}\left(\frac{\theta}{2}\right)}+\frac{\Sigma\left(l_{\mathrm{I}}-l_{2}\right)^{2}}{4 \sin ^{2}\left(\frac{\theta}{2}\right)}= \)
\( A \)
B.
c. -1
\( D \)
Subject: Chemistry
Identify the correct order of reactivity in electrophilic substitution reaction of
the following compounds
1. Benzene, 2. Toluene, 3.
Chlorobenzene, 4. Nitrobenzene
\( A \cdot(1)>(2)>(3)>(4) \)
B. \( (4)>(3)>(2)>(1) \)
\( c \cdot(2)>(1)>(3)>(4) \)
\( D \cdot(2)>(3)>(1)>(4) \)
Subject: Chemistry
Which one of the following is \( \alpha \) -amino
acid?
A. \( N H_{2}-C_{6} H_{5}-C H-C H_{2}- \) COOH
В. \( N H_{2}-C H_{2}-C H_{2}-C H_{2}-C H_{2}-C O O H \)
с. \( N H_{2}-C H_{2}- \)СООН
D. \( N H_{2}-C_{6} H_{5}-C H-C H_{2}-C H_{2}-C O O H \)
Subject: Biology
Choose the correct sequence of events
occur in human reproduction.
A. Gametogenesis \( \rightarrow \) gestation \( \rightarrow \) insemination \( \rightarrow \) fertilization \( \rightarrow \) implantation \( \rightarrow \) parturition
B. Gametogenesis \( \rightarrow \) insemination \( \rightarrow \) gestation \( \rightarrow \) implantation \( \rightarrow \) fertilization \( \rightarrow \) parturition
C. Gametogenesis \( \rightarrow \) insemination \( \rightarrow \) fertilization \( \rightarrow \rightarrow \) implantation \( \rightarrow \) gestation \( \rightarrow \) parturition
D. Gestation \( \rightarrow \) gametogenesis \( \rightarrow \) insemination \( \rightarrow \) implantation \( \rightarrow \) fertilization \( \rightarrow \) parturition
Subject: Maths
If \( f(x)=\sin x+a^{2} x+b \) is an
increasing function for all values of \( x \)
then
A \( . a \epsilon(-\infty,-1) \)
B. \( a \in R \)
\( \mathbf{c} \cdot a \epsilon(-1,1) \)
D. none of these
Subject: Physics
An inductance of negligible resistance whose reactance is \( 22 \Omega \) at \( 200 H z \) is
connected to 200 volt. If the line
frequency is known to be 50 cycles/second, the equation for the line voltage is :
A. 0.0175 Henry
B. 0.175 Henry
c. 1.75 Henry
D. 17.5 Henry
Subject: Chemistry
Which of the following statement is
incorrect about the extraction of lead
from galena?
A. Galena is a sulphide ore and therefore, it is concentrated by froth flotation process
B. Self reduction takes place in absence of air.
C. Complete roasting of galena gives PbO which is then reduced by coke or \( \mathrm{CO} \) to give metallic lead.
D. \( F e S i O_{3} \) is obtained as slag.
Subject: Physics
Choose the incorrect statement:
A. Flemings right-hand rule is a simple rule to know the direction of induced current
B. The right-hand thumb rule is used to find the direction of magnetic fields due to current carrying conductors
C. The difference between the direct and alternating currents is that the direct current always flows in one direction, whereas the alternating current reverses its direction periodically
D. In India the AC changes direction after every \( \frac{1}{50} \) second
Subject: Chemistry
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{S} \boldsymbol{O}_{4}\right)\right] \boldsymbol{B} \boldsymbol{r} \) and
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{B r}\right] \boldsymbol{S} \boldsymbol{O}_{4} \) are linkage
isomers.
A. True
B. False
Subject: Chemistry
Assertion
Boron can only form \( \left[\boldsymbol{B} \boldsymbol{F}_{4}\right]^{-}, \) whereas
aluminum forms \( \left[A l F_{6}\right]^{3-} \)
Reason
The first member of a group of elements in the \( s- \) and \( p- \) blocks shows
anomalous behavior
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: Maths
\( 26 z^{3}\left(32 z^{2}-18\right) \div 13 z^{2}(4 z-3) \)
A \( \cdot z(4 z+3) \)
в. \( (4 z+3) \)
c. \( 4 z(4 z+3) \)
D. None
Subject: Maths
The triangle formed by the lines \( x- \)
\( 7 y+12=0,7 x+y-16=0 \) and
\( \mathbf{3} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}=\mathbf{0} \) is right-angled triangle
A. True
B. False
Subject: Physics
A ring of diameter dis rotated in a uniform electric field until be position of maximum electric flux is found. The
flux is found to be \( \phi \). If the electric field
strength is \( \boldsymbol{E}=\frac{\boldsymbol{X} \boldsymbol{\phi}}{\pi d^{2}} . \) Find out \( \boldsymbol{X} \) ?
Subject: Maths
Solve for \( \boldsymbol{x}:-\boldsymbol{a} \boldsymbol{r} \sin \frac{\boldsymbol{5}}{\boldsymbol{x}}+\boldsymbol{a r c} \sin \frac{\boldsymbol{1} \boldsymbol{2}}{\boldsymbol{x}}= \)
\( \frac{\pi}{2} \)
Subject: Physics
Which one of the following is NOT
correct?
A. Dimensional formula of thermal conductivity (K) is \( M^{1} L^{1} T^{-3} K^{-1} \)
B. Dimensional formula of potential (V) is \( M^{1} L^{2} T^{-3} A^{-1} \)
C. Dimensional formula of permeability of free space \( \left(\mu_{0}\right) \) is \( M^{1} L^{1} T^{-2} A^{-2} \)
D. Dimensional formula of RC is \( M^{0} L^{0} T^{-1} \)
Subject: Physics
The force that must be applied to a steel wire \( 6 m \) long and diameter \( 1.6 m m \) to produce an extension of \( 1 \mathrm{mm}[\boldsymbol{y}= \) \( \left.2.0 \times 10^{11} N . m^{-2}\right] \) is approximate.
A. \( 100 N \)
в. \( 50 N \)
\( c .67 N \)
D. 33.5N
Subject: Physics
A star behaves like a perfectly black body emitting radiant energy. The ratio of radiant energy emitted per second by this star to that emitted by another star having 8 times the radius of former, but
having temperature one-fourth of that of the former in kelvin is :
\( A \cdot 1: 4 \)
B . 1: 16
\( c \cdot 4: 1 \)
D. 16:1
Subject: Chemistry
The time required for the
decomposition of \( N_{2} O_{5}, \) so that the total pressure becomes 0.15 atm is
(Given \( \log 1.8=0.255) \)
A . \( 25.5 \mathrm{sec} \)
B. 35.5 sec
c. \( 45.5 \mathrm{sec} \)
D. \( 55.5 \mathrm{sec} \)
Subject: Maths
\( \ln \) G.P. \( (p+q) \) th term is \( m,(p-q) \) th term is
n, then pth term is
A . \( n m \)
B. \( \sqrt{n m} \)
\( \mathrm{c} \cdot m / n \)
D. \( \sqrt{m / n} \)
Subject: Physics
The accuracy of measurement also lies in the way the result is expressed. The number of digits to which a value is to be expressed is one digit more than number of sure numbers. Rules do exist
to deal with number of digits after an operation is carried out on the given values. The error can be minimised by
many trials and using the correct methods and instruments.
The number of significant figures can reduces in
A. Addition
B. Subtraction
C. Multiplication
D. Division
Subject: Chemistry
The two electrons have the following sets of quantum numbers. \( x: 3,2,-2,+1 / 2 \)
\( Y: 3,0,0,+1 / 2 \)
What is true of the following?
A. \( x \) and \( Y \) have same energy
B. \( x \) and \( Y \) have unequal energy
c. \( x \) and \( Y \) represent same electron
D. None of the statement is correct
Subject: Chemistry
2-Methylpropane on monochlorination under photochemical condition gives:
A. 2 -Chloro-2-methylpropane as major product.
B. (1:1) Mixture of 1-chloro-2-methylpropane and 2chloro-2-methylpropane.
C. 1 -Chloro-2-methylpropane as major product
D. (1:9) Mixture of 1-chloro-2-methylpropane and 2chloro-2-methylpropane.
Subject: Physics
The excess pressure in soap bubble
is \( 10 \mathrm{N} / \mathrm{m}^{2} \). If eight soap bubbles are combined to form a big soap bubble, then the excess pressure in big bubble is :
A. \( 5 \mathrm{N} / \mathrm{m}^{2} \)
B. \( 10 \mathrm{N} / \mathrm{m}^{2} \)
c. \( 20 \mathrm{N} / \mathrm{m}^{2} \)
D. 2.5 N / m^
Subject: Chemistry
A reaction mixture containing \( \boldsymbol{H}_{2}, \boldsymbol{N}_{2} \)
and \( N H_{3} \) has partial pressures 2 atm
1 atm and 3 atm respectively at \( 725 K \)
If the value of \( K_{p} \) for the reaction,
\( N_{2(g)}+3 H_{2(g)} \rightleftharpoons 2 N H_{3(g)} \) is \( 4.28 \times \)
\( 10^{-5} a t m^{-2} \) at \( 725 K \), in which direction
the net reaction will go?
A. Forward
B. Backwardd
c. No net reaction
D. Direction of reaction cannot be predicted
Subject: Maths
If \( \bar{a}-\bar{b} \) is perpendicular to \( \bar{a},|b|= \) \( \sqrt{2}|\bar{a}|, \) then
A \( .2 \bar{a}+b \) parallel to \( \bar{a} \)
B . \( (2 \bar{a}+\bar{b}) \) is perpendicular to \( \bar{b} \)
C . \( (2 \bar{a}-\bar{b}) \) is perpendicular to \( \bar{b} \)
D. \( (2 \bar{a}-\bar{b}) \) is parallel to \( \bar{a} \)
Subject: Chemistry
\( 0.16 \mathrm{g} \) of methane was subjected to combustion at \( 27^{\circ} \mathrm{C} \) in a bomb
calorimeter. The temperature of the calorimeter system (including water)
was found to rise by \( 0.5^{\circ} \mathrm{C} \). If the heat of
combustion of methane at constant
volume and constant pressure is \( \boldsymbol{x} \) kJ.
The thermal capacity of the calorimeter
system is \( 17.7 k J K^{-1} \)
Then \( -x \) (nearest integer value) is:
\( \left[\boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1}\right] \)
Subject: Maths
Let \( [x] \) denote the integral part of \( x \in \) \( \boldsymbol{R}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}-[\boldsymbol{x}] . \) Let \( \boldsymbol{f}(\boldsymbol{x}) \) be any
continuous function with \( \boldsymbol{f}(\mathbf{0})=\boldsymbol{f}(\mathbf{1}) \)
then the function \( h(x)=f(g(x)) \)
A. has finitely many discontinuities
B. is discontinuous at some \( x=c, c \in I \)
c. is continuous on \( R \)
D. is a constant function
Subject: Maths
Divide the polynomial \( p(x) \) by the polynomial \( g(x) \) and find the quotient and remainder.
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{3} \boldsymbol{x}^{2}+\mathbf{5} \boldsymbol{x}-\boldsymbol{3} \)
\( g(x)=x^{2}-2 \)
\( \mathbf{A} \cdot q(x)=x-3, r(x)=7 x+9 \)
в. \( q(x)=x+3, r(x)=-7 x-9 \)
C \( . q(x)=x+3, r(x)=7 x-9 \)
D. \( q(x)=x-3, r(x)=7 x-9 \)
Subject: Chemistry
A closed vessel contains helium and
ozone at a pressure of \( \mathrm{P} \) atm. The ratio of He and oxygen atoms is 1: 1 . If helium is
removed from the vessel, the pressure of the sytem will reduced to:
\( A \cdot 0.5 P \) atm
B. 0.75 P atm
c. \( 0.25 \mathrm{P} \) atm
D. 0.33 P atm
Subject: Physics
Two point charges of charge values \( Q \) and \( q \) are placed at a distance of \( x \) and \( x / 2 \) respectively from a third charge of
charge value \( 4 q, \) all charges being in
the same straight line. Calculate the
magnitude and nature of charge \( Q \) such that the net force experienced by the charge \( q \) is zero. (Assume q is located between charges \( 4 q \text { and } Q) \)
Subject: Physics
A scientist proposes a new temperature scale in which the ice point is \( 25 x \) (X is the new unit of temperature) and the steam point is 305 X. The specific heat capacity of water in this new scale is \( \left(\text { in } J k g^{-1} X^{-1}\right) \)
A \( .4 .2 \times 10^{3} \)
B. \( 3.0 \times 10^{3} \)
c. \( 1.2 \times 10^{3} \)
D. \( 1.5 \times 10^{3} \)
Subject: Physics
Match column I with column II:
List List II
Magnus energy Pascal's Law
Loss of Archimedes' Energy
Pressure is same at same \( \quad \) Viscous force level in a liquid
Lifting of Hydraulic Machines
\( \mathbf{A} \cdot \mathbf{B} \rightarrow 4, \mathbf{C} \rightarrow 2, D \rightarrow 1, A \rightarrow 1 \)
B. \( A \rightarrow 4, B \rightarrow 3, C \rightarrow 1, D \rightarrow 1 \)
C. \( \mathrm{C} \rightarrow 4, \mathrm{A} \rightarrow 2, \mathrm{B} \rightarrow 1, \mathrm{D} \rightarrow 1 \)
D . \( D \rightarrow 4, A \rightarrow 2, B \rightarrow 1, C \rightarrow 1 \)
Subject: Chemistry
\( 40 \% \) mixture of 0.2 mole of \( N_{2} \) and
0.6 mole of \( H_{2} \) react to give \( N H_{3} \)
according to the equation \( \boldsymbol{N}_{2}(\boldsymbol{g})+ \) \( \mathbf{3} \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}}(\boldsymbol{g}), \) at constant
temperature and pressure. Then the ratio of the final volume to the initial
volume of gases is:
A . 4: 5
B. 5: 4
c. 7: 10
D. 8: 5
Subject: Chemistry
A conductivity cell filled with
\( 0.01 M A g N O_{3} \) solution gives at \( 25^{\circ} C \)
a resistance of \( 1442 \Omega \). If the molar
conductivity of \( 0.01 M A g N O_{3} \) solution is \( 124.8 \Omega^{-1} c m^{2} m o l^{-1}, \) what
is the cell constant?
Subject: Physics
In a Young's double-slit experiment, the fringe width is \( \beta . \) If the entire
arrangement is now placed inside a liquid of refractive index \( \mu \), the fringe width will become
\( \mathbf{A} \cdot \mu \beta \)
в. \( \frac{\beta}{\mu} \)
\( c \cdot \frac{\beta}{\mu+1} \)
D. \( \frac{\beta}{\mu-1} \)
Subject: Chemistry
Molecules/ions and their magnetic
properties are given below
Molecule/lon Magnetic property
(i) \( C_{6} H_{6} \)
(1) Antiferromagnetic
(ii) \( C r O_{2} \)
(2) Ferrimagnetic
(iii) \( M n O \)
(3) Ferromagnetic
(iv) \( F e_{3} O_{4} \)
(4) Paramagnetic
(v) \( F e^{3+} \)
(5) Diamagnetic
The correctly matched pairs in the above is:
A. \( i-5 i i-3 \) iii -2 iv \( -1 v-4 \)
B. \( i-3 \) ii -5 iii -1 iv \( -4 v-2 \)
c. \( i-5 \) ii -3 iii -1 iv \( -2 v-4 \)
D. \( i-5 \) ii -3 iii -1 iv \( -4 v-2 \)
E . \( i-4 i i-5 \) iii -1 iv \( -2 v-3 \)
Subject: Physics
A flywheel of radius \( R \) and of moment of
inertia \( I \) can be rotated in vertical plane without friction about its natural axis. \( A \)
light string is wound over the wheel and a body of weight \( W \) is suspended at the other end of string. The angular acceleration of wheel when suspended body is released is:
\( \mathbf{A} \cdot \frac{W R}{I} \)
B. less than \( \frac{W R}{I} \)
c. greater than \( \frac{W R}{I} \)
D. \( \geq \frac{W R}{I} \)
Subject: Physics
An object of mass \( 2 \mathrm{kg} \) is moving with a velocity of \( 3 \mathrm{m} / \mathrm{s} \) and collide headon with an object B of mass 1 kg moving in the opposite direction with a velocity of \( 4 \mathrm{m} / \mathrm{s} \). after the collision, both objects coalesce so that they move with a common velocity v equal to
\( \mathbf{A} \cdot \frac{2}{3} m / s \)
B. \( 1 \mathrm{m} / \mathrm{s} \)
c. \( 2 \mathrm{m} / \mathrm{s} \)
D. 3 \( \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Vapour density of \( N_{2} O_{4} \) which
dissciates according to teh equilibrium
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \) is 25.67 at \( 100^{\circ} C \)
and a pressure of 1 atm. Calculate the degree dissociatrion for the reaction.
Subject: Chemistry
Which reaction is most spontaneous?
A \( \cdot G a^{3+}+2 e^{-} \rightarrow G a^{+} \)
B. \( I n^{3+}+2 e^{-} \rightarrow I n^{+} \)
\( \mathbf{c} \cdot T l^{3+}+2 e^{-} \rightarrow T l^{+} \)
D. cannot be predicted
Subject: Chemistry
A vessel of volume of \( 0.2 m^{3} \) contains
hydrogen gas at temperature \( 300 K \) and
pressure 1 bar. Find the heat required
to raise the temperature to \( 400 K . \) The
molar heat capacity of hydrogen at constant volume is 5 cal \( / \) mol \( K \)
\( \mathbf{A} \cdot 4 k c a l \)
B. 5 kcall
c. \( 6 k c a l \)
D. \( 2 k c a l \)
Subject: Maths
If \( I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x \times \sec ^{2} x d x, \) then
\( \boldsymbol{I}_{1}, \boldsymbol{I}_{2}, \boldsymbol{I}_{3}, \ldots . . . \) are in
A. A.P
в. G.
c. н.P
D. none
Subject: Maths
In the following, the coordinates of the three vertices of a rectangle \( A B C D \) are given. By plotting the given points; find, the coordinates of the fourth vertex:
\( B(10,4), C(0,4) \) and \( D(0,-2) \)
Claim: The co-ordinates of the fourth vertex are (10,-2)

If true then enter 1 and if false then
enter 0
Subject: Maths
The value of \( \sin ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)+\sin ^{-1}\left(\frac{1}{3}\right) \)
is equal to
A \( \cdot \frac{\pi}{6} \)
в.
\( c \cdot \frac{\pi}{2} \)
D. \( \frac{2 \pi}{3} \)
\( E \)
Subject: Physics
If alpha particle, proton and electron
move with the same momentum, then
their respective de-Broglie wavelengths
\( \lambda_{\alpha}, \lambda_{p}, \lambda_{e} \) are related as
A \( \cdot \lambda_{\alpha}=\lambda_{p}=\lambda_{e} \)
B . \( \lambda_{\alpha}<\lambda_{p}<\lambda_{e} \)
c. \( \lambda_{\alpha}>\lambda_{p}>\lambda_{e} \)
D. \( \lambda_{p}>\lambda_{e}>\lambda_{\alpha} \)
E \( \cdot \lambda_{p}<\lambda_{e}<\lambda_{\alpha} \)
Subject: Physics
Displacement time equation of a
particle executing SHM is \( \boldsymbol{x}= \) \( 10 \sin \left(\frac{\pi}{3} t+\frac{\pi}{6}\right) c m . \) The distance
covered by particle in 3 seconds is
A. \( 5 \mathrm{cm} \)
B. 20 cm
c. \( 10 \mathrm{cm} \)
D. \( 15 \mathrm{cm} \)
Subject: Chemistry
Product (B) of the reaction is :
\( \|_{\mathbf{C H}-\mathbf{C O}_{2} \mathbf{H}}^{\mathbf{C H}-\mathbf{C O}_{2} \mathbf{H}} \frac{\mathbf{N a O H}}{(\mathbf{t w o ~ m o l e})}>(\mathbf{A}) \frac{\text { electrolysis }}{(\mathbf{B})} \)
\( \mathbf{A} \cdot C H_{3} C H_{3} \)
B \( . H_{2} C=C H_{2} \)
\( \mathbf{c} \cdot H-C \equiv C-H \)
\( \mathbf{D} \cdot C H_{2}=C H-C H=C H_{2} \)
Subject: Maths
If \( \boldsymbol{f}(\sin 2 \boldsymbol{x})= \)
\( \frac{\left(2 \tan x+\sec ^{2} x\right)(1+\cos 2 c)}{2}, \) then
determine the range of \( \boldsymbol{f}(\boldsymbol{t}) \) if range is \( [a, b], \) then \( b=? \)
Subject: Chemistry
Which of the following statements correctly completes the statement? Except for glycine, which is achiral, all the amino acids present in proteins
A. are chiral but racemic
B. have the \( L \) configuration at their \( \alpha \) carbon
c. have the \( R \) configuration at their \( \alpha \) carbon
D. have the \( S \) configuration at their \( \alpha \) carbon
Subject: Chemistry
In the reaction: \( S_{2} O_{8}^{2-}+2 I^{-} \rightarrow \)
\( 2 S O_{4}^{2-}+I_{2} \)
A. oxidation of iodide into iodine takes place
B. reduction of iodine into iodide takes place
c. both oxidation and reduction of iodine takes place
D. none of the above
Subject: Physics
A ray of light is reflected by a plane
mirror.
Which row shows the angle of incidence
and the angle of reflection?
A. Angle of incidence - \( P \), Angle of reflection - \( Q \)
B. Angle of incidence - \( P \), Angle of reflection - \( S \)
C. Angle of incidence - \( Q \), Angle of reflection - \( R \)
D. Angle of incidence - \( R \), Angle of reflection - \( S \)
Subject: Maths
\( \operatorname{Let} \theta \in\left(0, \frac{\pi}{4}\right) \) and \( t_{1}=(\tan \theta)^{\tan \theta}, t_{2}= \)
\( (\tan \theta)^{\cot \theta}, t_{3}=(\cot \theta)^{\tan \theta} \operatorname{then} t_{4}= \)
\( (\cot \theta)^{\cot \theta}, \) then
A \( \cdot t_{1}<t_{2}<t_{1}<t_{4} \)
В \( \cdot t_{2}>t_{1}>t_{3}>t_{4} \)
c. \( t_{3}>t_{1}>t_{2}>t_{4} \)
D. \( t_{2}>t_{3}>t_{1}>t_{4} \)
Subject: Physics
Fill in the empty values of the cells in
the table:
\( \begin{array}{cccc} & \boldsymbol{V}_{1} & \boldsymbol{T}_{1} & \boldsymbol{V}_{2} & \boldsymbol{T}_{2} \\ \mathrm{A} & & 840 & 1070 & 147 \\ \mathrm{B} & \begin{array}{l}3250 \\ \mathrm{ml}\end{array} & \mathrm{K} & \mathrm{m} 1 & \mathrm{K} \\ \mathrm{C} & 10 \mathrm{Litre} & & 15 \text { Litre } & 50^{0}\end{array} \) Use Charles Law to fill the following
table:
Subject: Chemistry
Which reaction below demonstrates the
lewis definition of acids and bases?
\( \mathbf{A} \cdot H C l+N a O H \rightarrow H O H+N a C l \)
B. \( H_{2} O+N H_{3} \rightarrow O H^{-}+N H_{4}^{+} \)
\( \mathbf{C} \cdot N H_{3}+B F_{3} \rightarrow N H_{3} B F_{3} \)
D. \( H I+K O H \rightarrow H_{2} O+K I \)
E \( \cdot H^{+} O H^{-} \rightarrow H_{2} O \)
Subject: Physics
To a person, going eastward in a car with a velocity of \( 25 \mathrm{Km} / \mathrm{hr} \), a train
appears to move towards north with a velocity of \( 25 \sqrt{3} \mathrm{Km} / \mathrm{hr} \). The actual
velocity of train will be:
\( A \cdot 25 \mathrm{Km} / \mathrm{hr} \)
B. 50 Km/hr
c. \( 5 \mathrm{Km} / \mathrm{hr} \)
D. \( 5 \sqrt{3} \mathrm{Km} / \mathrm{hr} \)
Subject: Physics
A body has a positive charge of \( 8 x \)
\( 15^{-19} C . \) It has
A. an excess of \( 5 e^{-} \)
B. a deficiency of \( 5 e^{-} \)
c. an excess of \( 8 e^{-} \)
D. a deficiency of \( 8 e^{-} \)
Subject: Physics
The maximum displacement of a particle executing SHM from its mean position is \( 2 \mathrm{cm} \) and its time period is 1
s. The equation of its displacement will be
A . \( x=2 \sin 4 \pi t \)
B. \( x=2 \sin 2 \pi t \)
c. \( x=\sin 2 \pi t \)
D. \( x=4 \sin 2 \pi t \)
Subject: Maths
If \( \sec 2 A=\operatorname{cosec}\left(A-42^{\circ}\right) \) where \( 2 A \)
is acute angle, then value of \( A \) is
A \( \cdot 44 \)
B \( .22^{\circ} \)
\( c \cdot 21^{\circ} \)
D. \( 66^{\circ} \)
Subject: Chemistry
The products \( (Y) \) and \( (Z) \) are
respectively:
\[
\mathrm{NH}_{3}+\mathrm{Cl}_{2}(\mathrm{excess}) \rightarrow \text { Exlosive substance }(\mathrm{X})
\]
\( \mathbf{A} \cdot N H_{3} \) and \( C l_{2} \)
\( B . N_{2} \) and \( C l_{2} \)
\( \mathbf{C} \cdot N H_{2}-N H_{2} \) and \( C l_{2} \)
D. \( H N=N H \) and \( C l_{2} \)
Subject: Physics
Two blocks of steel \( A \) and \( B \) of the same
shape and size, A being two times
heavier than \( \mathrm{B} \), are at \( 40^{\circ} \mathrm{C} \). The ratio of
heat content of \( A \) to \( B \) is
A . 1
B. 4
\( c \cdot 2 \)
D.
Subject: Chemistry
Compound that is both paramagnetic and coloured is:
A. \( K_{2} C r_{2} O_{7} \)
B. \( \left(N H_{4}\right)_{2}\left[T i C I_{6}\right] \)
\( c \cdot v o s O_{4} \)
D. \( K_{3}\left[C u(C N)_{4}\right] \)
Subject: Physics
The R.I of glass and water w.r.t air are
1.5 and \( 4 / 3 \) respectively. What is the R. of glass w.r.t water.
\( ^{\mathrm{A}} \cdot \frac{1}{3 \pi}\left(\frac{\left[R_{2}-R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}+R_{2}}\right) \)
В. \( \frac{1}{3 \pi}\left(\frac{\left[R_{2}-R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}-R_{2}}\right) \) above
c. \( \frac{1}{3 \pi}\left(\frac{\left[R_{2}+R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1} \times R_{2}}\right) \) above
D \( \cdot \frac{1}{3 \pi}\left(\frac{\left[R_{2} \times R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}-R_{2}}\right) \) above