AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The bond strength in \( O_{2}^{+}, O_{2}, O_{2}^{-} \) and
\( \boldsymbol{O}_{2}^{2+} \) follows the order
A \( \cdot O_{2}^{2+}>O_{2}^{-}>O_{2}>O_{2}^{+} \)
в. \( O_{2}^{+}>O_{2}>O_{2}^{-}>O_{2}^{2} \)
\( \mathrm{c} \cdot \mathrm{O}_{2}>\mathrm{O}_{2}^{-}>\mathrm{O}_{2}^{2+}>\mathrm{O}_{2}^{+} \)
D. \( O_{2}^{-}>O_{2}^{2-}>O_{2}^{+}>O_{2} \)
Subject: Chemistry
The correct IUPAC name of the following compound is:
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C O}-\boldsymbol{N H}-\boldsymbol{C H}_{3} \)
A. \( N \) - ethyl ethanamide
B. N - methyl ethanamide
c. N - Methyl propanamide
D. N - ethyl methanamide
Subject: Maths
Three horses \( H_{1}, H_{2}, H_{3} \) entered a field which has seven portions marked
\( \boldsymbol{P}_{1}, \boldsymbol{P}_{2}, \boldsymbol{P}_{3}, \boldsymbol{P}_{4}, \boldsymbol{P}_{5}, \boldsymbol{P}_{6} \) and \( \boldsymbol{P}_{7} . \) If no two
horses are allowed to enter the
same portion of the field, in-how many
ways can the horses graze the grass of the field?
Subject: Maths
The numbers \( a, b \) and \( c \) are between 2
and 18 such that
(i) their sum is 25
\( (i i) \) the numbers \( 2, a, b \) are in A.P
\( (i i i) \) the numbers \( b, c, 18 \) are consecutive terms of a G.P.
If \( a, b, c \) are the roots of \( x^{3}+q x^{2}+ \)
\( r x+s=0 \) then the value of \( ^{\prime} r^{\prime} \) is
A. 184
в. 196
c. 220
D. 224
Subject: Maths
Without using trigonometric tables,find the value of the following:
\( \left(\frac{\tan 20^{\circ}}{\operatorname{cosec} 70^{\circ}}\right)^{2}+\left(\frac{\cot 20^{\circ}}{\sec 70^{\circ}}\right)^{2}+ \)
\( 2 \tan 15^{\circ} \tan 45^{\circ} \tan 75^{\circ} \)
Subject: Chemistry
Starch molecules are polymer with
repeating glucose units. Select the
correct statement
A. Glucose units are joined through \( \beta \) -glycosidic linkage
B. The branches of amylopectin are linked to the chain with \( \alpha \) -1,4'-glycosidic linkages
c. The linear linkages of amylopectin are formed by \( \alpha \)
-1,4'-glycosidic bond
D. Amylose has an unbranched skeleton of glucose molecules with \( \alpha \) -1,6-glycosidic linkages
Subject: Chemistry
In the titration of a solution of a weak
\( \operatorname{acid} H A \) and \( N a O H, \) the \( p H \) is 5.0
after \( 10 m L \) of \( N a O H \) solution has
been added and 5.60 after
\( 20 m L N a O H \) has been added.
What is the value of \( p K_{a} \) for \( H A ? \)
A . 5.15
B. 5.3
\( c .5 .6 \)
D. None of these
Subject: Chemistry
What is the frequency of photon whose
momentum is \( 1.1 \times 10^{-23} k g m s^{-2} ? \)
\( \mathbf{A} \cdot 5 \times 10^{13} H z \)
В. \( 5 \times 10^{17} \mathrm{Hz} \)
c. \( 0.5 \times 10^{18} \mathrm{Hz} \)
D . \( 5 \times 10^{18} \mathrm{Hz} \)
Subject: Maths
Let \( f(x)=\left[\begin{array}{cc}e^{x}, & x \leq 0 \\ |1-x| & x>0\end{array}\right], \) then which
one of the following statement is incorrect ?
A. continuous and differentiable at \( x=0 \)
B. \( \lim _{x \rightarrow-\infty} f(x)=0 \)
c. one local maxima and one local minima
D. Decreasing function in (0,1)
Subject: Chemistry
Hydrolysis of d-sucrose result in change
of optical rotation because
A. number of moles of d-Glucose are less than number of
moles of I-Fructose produced during hydrolysis.
B. Angle of rotation of I-Fructose is greater than AOR of dGlucose
C. Both glucose and fructose are levorotatory.
D. Glucose is I and fructose is d and number of moles of glucose formed during reaction are greater than number of moles of fructose.
Subject: Physics
If a transformer have turn ratio 5
frequency \( 50 H z \) root mean square value of potential difference on primary
100 volts and the resistance of the
secondary winding is \( 500 \Omega \) then the peak value of voltage in secondary winding will be (the efficiency of the transformer is hundred percent)
A. \( 500 \sqrt{2} \)
2
в. \( 10 \sqrt{2} \)
c. \( 50 \sqrt{2} \)
2
D. \( 20 \sqrt{2} \)
Subject: Chemistry
lonic species are stabilised by the dispersal of charge, which of the following carboxylate ions is the most positive charge?
A. O
\( C H_{3}-C-\bar{O} \)
в. \( C l-C H_{2}-C-\bar{O} \)
c. O
\( F-C H_{2}-C-\bar{O} \)
D. \( F-C H_{2}-C-\bar{O} \)
\( _{\mathrm{F}} \)
Subject: Maths
ff \( \boldsymbol{I}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{1}\end{array}\right] . \boldsymbol{J}= \)
\( \left[\begin{array}{cc}\mathbf{0} & \mathbf{1} \\ -\mathbf{1} & \mathbf{0}\end{array}\right] \) and \( \quad \boldsymbol{B}= \)
\( \left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right], \quad \) then \( \quad B= \)
A \( . I \cos \theta+J \sin \theta \)
B . \( \operatorname{Isin} \theta+J \cos \theta \)
c. \( \operatorname{Icos} \theta-J \sin \theta \)
D. \( -I \cos \theta-J \sin \theta \)
Subject: Chemistry
Calculate the \( I-I \) distance in the
given compound \( \boldsymbol{H}_{2} \boldsymbol{C}=\boldsymbol{C} \boldsymbol{I}_{2}, \) if \( \boldsymbol{C}-\boldsymbol{I} \)
bond length is 2.10 A. Give answer in nearest integer value in \( \boldsymbol{A} \)
Subject: Maths
An article manufactured by a company
consists of two parts \( X \) and \( Y . \) In the
process of manufacture of the part \( \boldsymbol{X} . \mathbf{9} \)
out of 100 parts may be defective.
Similarly 5 out of 100 are likely to be
defective in part \( Y \). Calculate the
probability that the assembled product will not be defective.
Subject: Physics
A photon of energy \( 10.2 e V \) collides inelastically with \( H- \) atom in ground state. After a certain time interval of few
\( \mu s \) another photon of energy \( 15 e V \)
collides inelastically with the same \( \boldsymbol{H} \) atom, the observation made by a suitable detector is
A. 1 photon with energy \( 10.2 e V \) and an electron with 1.4 \( e V \)
B. Two photons with \( 10.2 e V \)
C. Two photons with 1.4 eV
D. one photon with 3.4 eV and 1 electron with 1.4 eV
Subject: Physics
In a certain region of space, electric field is along the z-direction throughout The magnitude of electric field is, however, not constant but increases
uniformly along the positive z-direction, at the rate of \( 10^{5} N C^{-1} \) per metre. What
are the force and torque experienced by a system having a total dipole moment equal to \( 10^{-7} \mathrm{Cm} \) in the negative zdirection?
Subject: Maths
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 \( c m . \) If the bowl is filled with soup to a
height of \( 4 c m, \) then find the quantity of soup to be prepared daily in the hospital
to serve 250 patients.
A. 38.5 litres
B . 3.5 litres
c. 8.5 litres
D. None of these
Subject: Physics
A tank with a small hole at the bottom has been filled with water and kerosene
(specific gravity 0.8 ). The height of water is \( 3 m \) and that of kerosene \( 2 m \)
When the hole opened the velocity of
fluid coming out from it is nearly: (take \( g=10 m s^{-2} \) and density of water
\( \left.10^{3} k g m^{-3}\right) \)
A \( \cdot 9.6 \mathrm{ms}^{-1} \)
B . \( 8.5 \mathrm{ms}^{-1} \)
\( \mathbf{c} \cdot 7.6 m s^{-1} \)
D. \( 10.7 \mathrm{ms}^{-1} \)
Subject: Physics
A uniform rod of mass \( M \) and length \( L \) hinged at centre is rotating in
horizontal plane with angular speed \( \omega_{0} \)
Now two objects each of mass \( m \) are kept on rod near the hinge on both sides. They starts sliding towards ends.
Find \( \omega \) of rod finally.
A \( \frac{M \omega_{0}}{6 M+m} \)
в. \( \frac{M \omega_{0}}{M+6 m} \)
c. \( \frac{6 M \omega_{0}}{M+m} \)
D. \( \frac{M \omega_{0}}{M+2 m} \)
Subject: Physics
The radius of the curved part of the wire
is \( R=100 m m, \) the linear parts of the
wire are very long. Find the magnetic induction at the point \( O \) if the wire
carrying a current \( I=8.0 A \) has the
shape shown in the figure.
в. \( 0.60 \mu T \)
\( c .0 \mu T \)
D. \( 0.70 \mu T \)
Subject: Biology
Which of the following does not apply to
ascomycetes?
A. Mycelium is coenocytic and aseptate.
B. Commonly known as sac fungi
C. Asexual spores called conidia are produced exogenously.
D. Sexual spores called ascospores are produced endogenously.
E. They are saprophytic, decomposers, parasitic or coprophilous.
Subject: Physics
A mass of \( 1 \mathrm{kg} \) is suspended from a
spring of force constant \( 400 \mathrm{N} \) executing SHM total energy of the body is \( 2 \mathrm{J} \), then maximum acceleration of
the spring will be
\( \mathbf{A} \cdot 4 m / s^{2} \)
в. \( 40 m / s^{2} \)
c. \( 200 m / s^{2} \)
D. \( 400 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
(A) pH of \( 10^{-7} \) M NaOH solution exists
between 7 to 7.3 at \( 25^{\circ} C \)
(R) Due to common ion effect ionization
of water is suppressed.
A. Both (R) and (A) are true and reason is the correct explanation of assertion
B. Both (R) and (A) are true but reason is not correct explanation of assertion
c. Assertion
(A) is true but reason
(R) is false
D. Assertion
(A) and reason
(R) both are false
E. Assertion (A) is false but reason (R) is true
Subject: Maths
If \( \int \frac{\log (t+\sqrt{1+t^{2}})}{\sqrt{1+t^{2}}} d t=\frac{1}{2}(g(t))^{2}+C \)
where \( C \) is a constant, then \( g(2) \) is
equal to
A \( \cdot \frac{1}{\sqrt{5}} \log (2+\sqrt{5}) \)
B . \( 2 \log (2+\sqrt{5}) \)
c. \( \log (2+\sqrt{5}) \)
D \( \cdot \frac{1}{2} \log (2+\sqrt{5} \)
Subject: Physics
The rotation of the Earth having radius
\( R \) about its axis speeds upto a value
such that a man at latitude angle \( 60^{\circ} \)
feels weightless. The duration of the day in such case will be.
A \( \cdot 8 \pi \sqrt{\frac{R}{g}} \)
в. \( 8 \pi \sqrt{\frac{g}{R}} \)
\( ^{c} \cdot \pi \sqrt{\frac{R}{g}} \)
D. \( 4 \pi \sqrt{\frac{g}{R}} \)
Subject: Maths
Find the value of \( x, \) if \( \left|\begin{array}{cc}\boldsymbol{x}+\mathbf{2} & \boldsymbol{x} \\ \boldsymbol{x}-\boldsymbol{4} & \boldsymbol{x}+\mathbf{3}\end{array}\right|=\left|\begin{array}{cc}\boldsymbol{4} & \boldsymbol{2} \\ -\boldsymbol{2} & \boldsymbol{5}\end{array}\right| \)
Subject: Physics
The three resistance of equal value are
arranged in the different combinations
shown below.
Arrange them in increasing order of power dissipation.
A. \( \||<\|<| V<1 \)
B. \( \|<\|<\mid V<1 \)
c. \( |<| V<\|\mid<\| \)
D. \( |<\|\mid<\|<1 V \)
Subject: Chemistry
Which of the following halides is not correct according to the name and classification?
A \( \cdot C H_{3} C H_{2} C\left(C H_{3}\right)_{2} C H_{2} I-1 \) -lodo- 2,2 -dimethylbutane Primary haloallkane
B. \( \left(C H_{3}\right)_{2} C H C H(C l) C H_{3} \) - 2-Chloro-3-methylbutane, Secondary haloalkane
C. \( C H_{3} C(C l)\left(C_{2} H_{5}\right) C H_{2} C H_{3} \) - 2-Chloro-2-ethylbutane Secondary haloalkane
D. \( C H_{3} \)
\( C H_{3}-C H_{2}-C H-C H-C H_{2}-C H_{3} \quad \) 3-Chloro
4- - methylhexane secondary haloalkane
Subject: Physics
Among the following reactions, the impossible one is :
A \( \cdot^{2} H e_{4}+^{4} B e_{9} \longrightarrow^{0} n_{1}+^{6} C_{12} \)
B. \( ^{2} \mathrm{He}_{4}+^{7} \mathrm{N}_{14} \longrightarrow^{1} \mathrm{H}_{1}+^{8} \mathrm{O}_{17} \)
\( \mathbf{c} \cdot 4\left(^{1} H_{1}\right) \rightarrow^{2} H e_{4}+^{2}\left(^{-1} e_{0}\right) \)
D. \( ^{3} L i_{7}+^{1} H_{1} \longrightarrow^{4} B e_{8} \)
Subject: Maths
The distribution given below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method.
\( \begin{array}{llll}\text { No. of } & \mathbf{2 0}- & \mathbf{6 0 -} & \mathbf{1 0 0 -} \\ \text { wickets } & \mathbf{6 0} & \mathbf{1 0 0} & \mathbf{1 5 0}\end{array} \)
Bowl No. of
owlers
16
Subject: Physics
A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward,followed again by 5 steps
forward and 3 steps backward, and so on. Each step is \( 1 \mathrm{m} \) long and requires 1
s. Plot the \( x \) -t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a
pit \( 13 \mathrm{m} \) away from the start.
Subject: Physics
If accuracy of weighing machine is better than \( 1 / 2 \) percent, a student record his own mass. Choose the option that
explains the recording most accurately.
A. \( 6.43 \mathrm{kg} \)
B. 60 kg
\( c \cdot 64.3 \mathrm{kg} \)
D. 600kg
E. \( 643 \mathrm{kg} \)
Subject: Chemistry
What is the rate of the reaction for
\( \mathbf{2 A} \rightarrow \boldsymbol{B} ? \)
\( ^{\mathrm{A}} \cdot-\frac{1}{2}\left[\frac{d[A]}{d t}\right] \)
в. \( -\frac{d[A]}{d t} \)
c. \( -\frac{d[B]}{d t} \)
D. \( +\frac{d[A]}{d t} \)
Subject: Maths
\( \lim _{x \rightarrow 0}\left[\frac{\sin x}{\tan (5 x)} \frac{(1-\cos 4 x)\left(5^{x}-4^{x}\right)}{x^{3}}\right] \)
equals to
A \( \cdot \frac{8}{3} \ell n\left[\frac{5}{2}\right. \)
в. \( \frac{8}{5} \ell n\left[\frac{5}{2}\right. \)
c. \( \frac{8}{5} \ln \left[\frac{5}{4}\right. \)
D. None of these
Subject: Chemistry
Select the correct order of lattice
energy.

This question has multiple correct options
\( \mathbf{A} \cdot L i F<L i B r<L i I \)
B. \( L i C l>L i B r>L i I \)
C \( . L i C l>N a C l>K C l \)
D. \( B e C O_{3}<M g C O_{3}<S r C O_{3}<B a C O_{3} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{6} & \mathbf{1 0} & \mathbf{1 0 0} \\ \mathbf{7} & \mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{9} & \mathbf{1 0}\end{array}\right], \) then
\( \operatorname{Tr}\left(\boldsymbol{A}^{T}\right)= \)
(Tr denotes trace of a matrix)
A . -17
B. 17
\( c \cdot-\frac{1}{15} \)
D. \( \frac{1}{17} \)
Subject: Physics
The reverse saturation current of a
silicon diode
A. doubles for every \( 10^{\circ} \mathrm{C} \) increase in temperature
B. does not change with temperature
C. halves for every \( 1^{\circ} \mathrm{C} \) decrease in temperature
D. increases by 1.5 times for every \( 2^{\circ} C \) increment in temperature
Subject: Maths
If \( A \) and \( B \) be two sets containing 4 and
8 elements respectively, what can be
the maximum number of elements in
\( A \cup B ? \) Find also, the minimum number
of elements in \( (\boldsymbol{A} \cup \boldsymbol{B}) \) ?
A. Maximum number of elements \( =12 \)
Minimum number of elements = 8
B. Maximum number of elements \( =14 \) Minimum number of elements \( =8 \)
c. Maximum number of elements \( =12 \)
Minimum number of elements = 9
D. Maximum number of elements \( =14 \)
Minimum number of elements \( =7 \)
Subject: Chemistry
The equilibrium constant \( \left(\boldsymbol{K}_{c}\right) \) for the
reaction \( \boldsymbol{H} \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \boldsymbol{B} \boldsymbol{H}^{+}+\boldsymbol{A}^{-} \) is \( \mathbf{1 0 0} \)
If the rate constant for the forward
reaction is \( 10^{5} \), then rate constant for
the backward reaction is
A \( \cdot 10^{7} \)
B . \( 10^{3} \)
\( \mathbf{c} \cdot 10^{-3} \)
D. \( 10^{-5} \)
Subject: Maths
A particle moves on a line according to
the law \( s=a t^{2}+b t+c . \) If the
displacement after 1 sec is \( 16 \mathrm{cm}, \) the velocity after 2 sec is \( 24 \mathrm{cm} / \mathrm{sec} \) and acceleration is \( 8 \mathrm{cm} / \mathrm{sec}^{2}, \) then
A. \( a=4, b=8, c=4 \)
В. \( a=4, b=4, c=8 \)
c. \( a=8, b=4, c=4 \)
D. none of these
Subject: Maths
Evaluate: \( \int_{a}^{b} x d x \) using limit of sum.
A \( \cdot \frac{b^{2}-a^{2}}{3} \)
B. \( \frac{b^{2}+a^{2}}{2} \)
c. \( \frac{b^{2}-a^{2}}{2} \)
D. None of these
Subject: Physics
If it is safe to jump from a height of \( 2 m \) on to the earth, what would be the safe height on a planet where the value of 'g'
is \( 1.96 m s^{-2} ? \)
A . \( 2 m \)
в. \( 4 m \)
\( c .6 m \)
D. \( 10 m \)
Subject: Maths
The solution of \( \frac{d y}{d x}+a y=e^{m x} \) is (where \( a+m=0 \) ) is:
A \( \cdot e^{a x} y=x+c \)
B . \( e^{a x} y=y+c \)
c. \( e^{a y} x=y+c \)
D. \( e^{a y} y=x+c \)
Subject: Maths
\( A 5 \times 5 \times 5 \) cube is formed by using1 \( x \)
\( 1 \times 1 \) cubes if we add another layer of
\( \operatorname{such} 1 \times 1 \times 1 \) cube in the \( 5 \times 5 \times 5 \)
cube What will be the number of \( 1 \times \)
\( 1 \times 1 \) cubes in the newly formed cube?
A .216
в. 343
c. 294
D. 264
Subject: Physics
A box of mass \( \mathrm{m} \) slides down a
frictionless inclined plane of Iength L and vertical height h. Calculate the kinetic energy at the bottom of plane.
A . mgl
в. mghh
c. \( \mathrm{mgL} / \mathrm{h} \)
D. \( \operatorname{mgh} / \mathrm{L} \)
E. mghL
Subject: Physics
Monochromatic light of wavelength
\( 4500 A \) falls on slit of width 'a'. In
diffraction pattern second maxima
deviates through \( 30^{\circ} . \) The slit width is
\( \mathbf{A} \cdot 900 \stackrel{\circ}{A} \)
в. 18000 А
\( \mathrm{c} \cdot_{13500 \AA} \)
D \( \cdot 22500 \) 台
Subject: Maths
In each case; given below, find the value of \( x \) in terms of \( a, b \) and \( c \)
A \( . x=180^{\circ}-a-b+c \)
B . \( x=180^{\circ}+b+a+c \)
c. \( x=180^{\circ}+b-a-c \)
D. \( x=180^{\circ}+a+b-c \)
Subject: Physics
The components of a vector along the \( x \) and \( y \) -directions are \( (n+1) \) and 1
respectively. If the coordinate system is
rotated by an angle \( \theta=60^{\circ} \), then the
components change to \( n \) and \( 3 . \) The
value of \( n \) is
A .2
B. \( 1+\sqrt{3} \)
\( c \cdot 1-\sqrt{3} \)
D. \( 1 \pm \sqrt{3} \)
Subject: Physics
A cyclist is moving on a circular track of
radius \( 80 m \) with a velocity of
\( 72 k m / h r . \) He has to lean from he vertical approximately through an angle-
\( \mathbf{A} \cdot \tan ^{-1}(1 / 4) \)
B \cdot \( \tan ^{-1}(1) \)
c. \( \tan ^{-1}(1 / 2) \)
\( D \cdot \tan ^{-1}(2) \)
Subject: Physics
The circuit diagram shows that
resistors \( 2 \Omega, 4 \Omega \) and \( R \Omega \) connected to
a battery of e.m.f. 2 V and
internal resistance \( 3 \Omega \). A main
current of 0.25 A flows through the
circuit. What is the p.d. across the \( R \Omega \)
and \( 2 \Omega \) resistor?
A. \( 0.25 \vee, 0.5 \mathrm{V} \)
B. 0.25 V, 0.25 V
\( c \cdot 2 v, 1 v \)
D. \( 0.5 \vee, 0.25 \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}, \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \)
are rational, and \( \boldsymbol{f}: \boldsymbol{Z} \rightarrow \boldsymbol{Z}, \) where \( \boldsymbol{Z} \) is
the set of integers. Then \( a+b \) is
A. a negative integer
B. an integer
c. nonintegral rational number
D. none of these
Subject: Maths
n Fig. \( \angle \boldsymbol{P}=\mathbf{5} \mathbf{2}^{\circ} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \angle \boldsymbol{P} \boldsymbol{Q} \boldsymbol{R}=\boldsymbol{6} \boldsymbol{4}^{\circ}, \) i
\( Q O \) and \( R O \) are the angle bisectors of
\( \angle P Q R \) and \( \angle P R Q \) respectively, then
find the values of \( \angle x \) and \( \angle y \)
Subject: Chemistry
Passing \( \boldsymbol{H}_{2} \boldsymbol{S} \) gas into a mixture of \( M n^{2+}, N i^{2+}, C u^{2+} \) and \( H g^{2+} \) ions in
an acidified aqueous solution precipitates:
A. \( C u S \) and \( H g S \)
B. \( M n S \) and \( C u S \)
c. \( M n S \) and \( N i S \)
D. \( N i S \) and \( H g S \)
Subject: Maths
A couple has two children,
(i) Find the probability that both children are males, if it is known that at
least one of the children is male.
(ii) Find the probability that both children are females, if ti is known that the elder child is a female.
A. 0.55,0.38
В. 0.33,0.50
c. 0.67,0.78
D. 0.56,0.67
Subject: Chemistry
Bottles containing \( P h I \) and \( P h C H_{2} I \)
lost their original labels. They were
labelled as \( (A) \) and \( (B) \) for testing. \( (A) \)
and \( (B) \) were separately taken in test
tubes and boiled with \( N a O H \) solutions
The end solution in each tube was made
acidic with dilutie \( H N O_{3} \) and some
\( A g N O_{3} \) solution was added. Substance
\( (B) \) gave a yellow precipitate. Which of the following statements is true for this experiment?
A. Addition of \( H N O_{3} \) was unnecessary
в. (A) was PhI
c. \( (A) \) was \( P h C H_{2} I \)
D. \( (B) \) was \( P h I \)
Subject: Chemistry
Assertion
In p-block elements a lot of variation in properties of elements in a group is observed.
Reason
Difference in inner core of electronic
configuration greatly influences the physical and chemical properties of
elements.
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
For the reaction \( 2 H I(g) \Leftrightarrow H_{2}(g)+ \)
\( I_{2}(g), \) the degree of dissociation \( (\alpha) \) of
\( H I(g) \) is related to the equilibrium
constant, \( \boldsymbol{K}_{\boldsymbol{p}} \) by the expression:
\( ^{\mathrm{A}} \cdot \frac{1+2 \sqrt{K_{p}}}{2 \sqrt{K_{p}}} \)
B. \( \sqrt{\frac{1+2 K_{p}}{2}} \)
\( ^{\mathrm{c}} \cdot \sqrt{\frac{2 K_{p}}{1+2 K_{p}}} \)
D. \( \frac{2 \sqrt{K_{p}}}{1+2 \sqrt{K_{p}}} \)
Subject: Chemistry
Give the missing product of the following reaction in same order of reaction order:
\( \boldsymbol{C a}+\boldsymbol{a i r} \rightarrow \boldsymbol{C a O}+_{--}- \)
\( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \stackrel{\Delta}{\longrightarrow} \boldsymbol{C a O}(\boldsymbol{s})+_{--} \)
(2)
\( \boldsymbol{C a}(\boldsymbol{O} \boldsymbol{H})_{2} \stackrel{\text {calcination}}{\longrightarrow} \boldsymbol{C a O}+_{--} \)
\( \ldots(3) \)
A. \( C a_{3} N_{2} ; C O_{2} ; H_{2} O \)
в. \( C a_{3} N_{2} ; C O_{2} ; H_{2} \)
c. \( C a_{a} N_{2} ; \operatorname{CO} ; H_{2} O \)
D. \( C a F_{2} ; C O_{2} ; H_{2} O \)
Subject: Maths
If the third and \( 11^{t h} \) term of an A.P are 8
and 20 respectively, find the sum of first
ten terms.
A \( \cdot 105 \frac{1}{2} \)
в. 108
c. \( _{117} \frac{1}{2} \)
D. \( 203 \frac{1}{2} \)
Subject: Chemistry
For first order reaction as time duration
goes from 10 in to 30min rate of reaction
decreases from \( 0.4 M s^{-1} \) to \( 0.04 M s^{-1} \)
What is the half life of the reaction?
\( A \cdot 8 \min \)
B. 4 min
c. 6 min
D. 2 min
Subject: Maths
For a binomial distribution if \( \boldsymbol{P}=\frac{\mathbf{2}}{\mathbf{3}} \)
and \( n=10 \) the probability of mode is
\( ^{\mathbf{A}} \cdot_{^{10}} C_{4}\left(\frac{1}{3}\right)^{7}\left(\frac{2}{3}\right)^{3} \)
\( ^{\mathrm{B}} \cdot_{^{10}} C_{7}\left(\frac{2}{3}\right)^{7}\left(\frac{1}{3}\right)^{3} \)
\( ^{c}\left(\frac{2}{3}\right)^{7}\left(\frac{1}{3}\right)^{3} \)
\( ^{\text {D }}\left(\frac{1}{3}\right)^{7}\left(\frac{2}{3}\right)^{3} \)
Subject: Maths
Find \( g \circ f \) and \( f \circ g \) when \( f: R \rightarrow R \) and \( g: R \rightarrow R \) are defined by \( f(x)= \)
\( \mathbf{2} \boldsymbol{x}+\boldsymbol{x}^{2} \) and \( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}^{3} \)
Subject: Physics
One milligram of matter is converted into energy. The energy released will be
\( \mathbf{A} \cdot 9 \times 10^{6} J \)
B \( .9 \times 10^{8} J \)
c. \( 9 \times 10^{10} J \)
D. \( 9 \times 10^{12} J \)
Subject: Physics
Look at the ray diagram shown, what
will be the focal length of the 1 st and the
2nd lens, if the incident light ray passes
without any deviation?
\( A .-5 \mathrm{cm} \) and \( -10 \mathrm{cm} \)
B. \( +5 \mathrm{cm} \) and \( +10 \mathrm{cm} \)
\( c .-5 \mathrm{cm} \) and \( +5 \mathrm{cm} \)
D. \( +5 \mathrm{cm} \) and \( +5 \mathrm{cm} \)
Subject: Physics
Consider the following statements \( A \) and \( \mathrm{B} \) and identify the correct answer:
\( A: \ln \) an elastic collision, if a body
suffers a head on collision with another
of same mass at rest, the first body
comes to rest while the other starts
moving with the velocity of the first one.
\( B: \) Two bodies of equal masses suffering a head-on elastic collision merely exchanges their velocities.
A. A and B are true
B. A and B are false
c. A is true but B is false
D. A is false but B is true
Subject: Chemistry
Assertion
The unpaired electrons in a subshell
possess same spin.
Reason
Symmetric distribution of electrons
gives stability to an atom.
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