AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
wavelength \( 6000 A \) is placed at a very
small height h above a flat reflecting
surface \( M N \) as shown in the figure. The
intensity of the reflected light is \( 36 \% \) of the incident intensity. Inference fringes
are observed on a screen placed paralle to the reflecting surface at a very large
distance \( D \) from it. If the intensity at \( p \)
be maximum, then the minimum
distance through which the reflecting
surface \( M N \) should be displaced so
that at \( P \) again becomes maximum?
\( A \cdot 3 \times 10^{-7} \mathrm{m} \)
B . \( 6 \times 10^{-7} \mathrm{m} \)
C. \( 1.5 \times 10^{-7} \mathrm{m} \)
D. \( 12 \times 10^{-7} \mathrm{m} \)
Subject: Chemistry
\( 10 \mathrm{ml} \) of a mixture of \( \boldsymbol{C H}_{4}, \boldsymbol{C}_{2} \boldsymbol{H}_{4} \) and
\( C O_{2} \) were exploded with excess of air. After explosion, there was contraction on cooling of \( 17 \mathrm{ml} \) and after treatment with KOH, there was further reduction of
\( 14 \mathrm{ml} . \) What is the composition of the mixture?
A \( \cdot C H_{4}=4.5 \mathrm{ml}, \mathrm{CO}_{2}=1.5 \mathrm{ml} \)
в. \( C H_{4}=3.6 \mathrm{ml}, \mathrm{CO}_{2}=2.5 \mathrm{ml} \)
c. \( C H_{4}=4.8 m l, C O_{2}=1.8 m l \)
D. \( C H_{4}=5.1 m l, C O_{2}=2.8 m l \)
Subject: Chemistry
\( \boldsymbol{C}_{\mathbf{1}}-\boldsymbol{H}, \boldsymbol{C}_{2}-\boldsymbol{H}, \boldsymbol{C}_{3}-\boldsymbol{H} \) and \( \boldsymbol{C}_{4}-\boldsymbol{H} \)
homolytic bond dissociation energy is in order:
A \( \cdot C_{2}-H>C_{3}-H>C_{4}-H>C_{1}-H \)
B. \( C_{1}-H>C_{4}-H>C_{2}-H>C_{3}-H \)
\( \mathbf{c} \cdot C_{2}-H>C_{3}-H>C_{1}-H>C_{4}-H \)
D. \( C_{1}-H>C_{4}-H>C_{3}-H>C_{2}-H \)
Subject: Maths
The percentage of marks obtained by a student in a unit test are given below:
Unit II
II IV \( t \) est
\( \% \) of 70 \( \quad \) 72
\( 65 \quad 68 \)
marks
What is the probability that the student gets more than \( 70 \% \) marks
A \( \cdot \frac{1}{5} \)
в. \( \frac{2}{5} \)
\( c \cdot \frac{3}{5} \)
D.
Subject: Biology
In a dicotyledonous stem, the sequence of tissues from the outside to the inside
is
A. Phellem-pericycle-endodermis-phloem
B. Phellem-phloem-endodermis-pericycle
c. Phellem-endodermis-pericycle-phloem
D. Pericycle-phellem-endodermis-phloem
Subject: Physics
\( \mathbf{A} \)
\( 40 \mathrm{kg} \) box rests on the horizontal floor
of truck which is initially at rest on a horizontal road. The coefficient of
kinetic friction between the floor and
the box is 0.2 . The truck at time \( t=0 \)
accelerates constantly at \( 5 m s^{-2} \) and the box is \( 6 m \) away from the rear
opening of the truck. Find
(i) the time \( ^{\prime} \boldsymbol{t}^{\prime} \)
when the boxjust falls off the floor of the truck (ii) the distance travelled by
the truck during the interval (iii) distance covered by the box with
respect to road.
Subject: Physics
A simple harmonic oscillator has an
acceleration of \( 1.25 \mathrm{m} / \mathrm{s}^{2} \) at \( 5 \mathrm{cm} \) from
the equilibrium. Its period of oscillation is:
A \( \frac{4 \pi}{5} \) s
в. \( \frac{5 \pi}{2} \) s
c. \( \frac{2 \pi}{5} \) s
D. \( \frac{2 \pi}{25} \) s
Subject: Biology
Refer to the following statements describing Prophase I of meiosis and
answer the question
(i) Thin thread like chromosomes with a
beaded appearance
(ii) Appearence of recombination nodules
(iii) Formation of bivalents/tetrads
(iv) Terminalisation of chiasmata
(v) Appearance of chiasmata Identify the different stages with respect to the above given features and
select the correct option
A. (i) - Leptotene, (ii) - Zygotene, (iii) - Pachytene, (iv) Diplotene, (v) - Diakinesis
B. (i) - Leptotene, (ii) - Zygotene,
(iii) - Pachytene, (iv) Diakinesis, (v) - Diplotene
C. (i) - Leptotene,
(ii) - Pachytene,
(iii) - Zygotene, (iv) Diakinesis,
(v) - Diplotene
D. (i) - Leptotene,
(ii) - Pachytene,
(iii) - Diplotene, (iv) Zygotene,(v) - Diakinesis
Subject: Chemistry
Assertion
Physisorption of a gas adsorbed at low temperature may change into chemisorption at a high temperature.
Reason

Usually low pressure is also favourable
for chemisorption.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
A coil having \( n \) turns and resistance \( \boldsymbol{R} \) \( \Omega \) is connected with a galvanometer of
resistance \( 4 R \Omega \). This combination is
moved in time \( t \) seconds from a
magnetic flux \( W_{1} \) to \( W_{2} \). The induced
current in the circuit is
A. \( -\frac{W_{2}-W_{1}}{5 R n t} \)
в. \( \frac{n\left(W_{2}-W_{1}\right)}{5 R t} \)
c. \( -\frac{\left(W_{2}-W_{1}\right)}{R n t} \)
D. \( -\frac{n\left(W_{2}-W_{1}\right)}{R n t} \)
Subject: Chemistry
Which of the following has largest
radius?
A \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2} \)
B \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{1} \)
C \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{3} \)
D. \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{5} \)
Subject: Physics
A \( 4- \) kilograms ball slides over horizontal friction less surface with velocity of meter per second ball strike the post
and rebounds upward perpendicular to the initial direction with same speed.
Calculate the change of momentum of
the ball in initial direction.
A. \( -4 \mathrm{kg}, \mathrm{m} / \mathrm{s} \)
B. - - 1 kg.m/s
c. \( 0 \mathrm{kg} . \mathrm{m} / \mathrm{s} \)
D. \( 1 \mathrm{kg} . \mathrm{m} / \mathrm{s} \)
E . \( 4 \mathrm{kg} . \mathrm{m} / \mathrm{s} \)
Subject: Physics
The amplitude and the time period in a
S.H.M. is \( 0.5 \mathrm{cm} \) and 0.4 see respectively If the initial phase is \( r / 2 \) radiam,then the equaction of S.H.H. will be
A \( \cdot y=0.5 \sin 5 / \pi \)
B. \( y=0.5 \sin 4 / \pi \)
c. \( y=0.5 \sin 2.5 / \pi \)
D. \( y=0.5 \cos 5 \pi t \)
Subject: Chemistry
The degree of dissociation is 0.4 at
\( 400 K \& 1.0 a t m \) for the gaseous
reaction
\( \boldsymbol{P C l}_{5} \rightleftharpoons \boldsymbol{P C l}_{3}+\boldsymbol{C l}_{2}(\boldsymbol{g}) . \) Assuming
ideal behaviour of all gases. Calculate the density of equilibrium mixture at \( 400 K \)
\& 1.0 atm pressure.
Subject: Physics
The value of relative permittivity of air
is
A \( \cdot 8.854 \times 10^{-12} C^{2} N^{-1} m^{-2} \)
B. \( 9 \times 10^{9} C^{2} N^{-1} m^{-2} \)
c. 1
D. \( 8.854 \times 10^{12} \)
Subject: Maths
If \( \omega \) is a non-real cube root of unity and
n is not a multiple of \( 3, \) then \( \Delta= \) \( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{\omega}^{n} & \boldsymbol{\omega}^{2 n} \\ \boldsymbol{\omega}^{2 \boldsymbol{n}} & \boldsymbol{1} & \boldsymbol{\omega}^{n} \\ \boldsymbol{\omega}^{\boldsymbol{n}} & \boldsymbol{\omega}^{2 \boldsymbol{n}} & \boldsymbol{1}\end{array}\right| \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \omega \)
\( c \cdot \omega^{2} \)
D.
Subject: Maths
If a random variable \( \boldsymbol{X} \) has probability distribution function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{c}}{\boldsymbol{x}}, \mathbf{1}< \)
\( \boldsymbol{x}<\mathbf{3}, \boldsymbol{c}>\mathbf{0} \)
find \( c, E(X) \) and \( \operatorname{Var}(X) \)
Subject: Chemistry
Coulomb's law is used to calculate the
energy of an ion pair.
A. Gas law is used to calculate the energy of an ion pair.
B. Coulomb's law is used to calculate the velocity of an ion pair
C. Coulomb's law states that the potential energy (E) of interaction of two ions is directly proportional to the product of their charges and inversely proportional to the distance between them, so the statement is True
D. Ideal gas law is used to calculate the velocity of an ion pair.
Subject: Physics
A wall clock has a \( 5 \mathrm{cm} \) long minute
hand. The average velocity of the tip of the hand reaching 06.00 hrs. to 18.30 hrs. is
A \( .2 .2 \times 10^{-4} \mathrm{cm} / \mathrm{s} \)
B. \( 1.2 \times 10^{-4} \mathrm{cm} / \mathrm{s} \)
C . \( 5.6 \times 10^{-4} \mathrm{cm} / \mathrm{s} \)
D. \( 3.2 \times 10^{-4} \mathrm{cm} / \mathrm{s} \)
Subject: Maths
In a square \( \boldsymbol{P Q R S} \), an equilateral
triangle \( \triangle \boldsymbol{T} \boldsymbol{Q} \boldsymbol{R} \) is formed, then
\( \boldsymbol{m} \angle \boldsymbol{P T S}-? \)
A \( .75^{\circ} \)
В. \( 90^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 150^{\circ} \)
Subject: Maths
A hollow cylinder has solid hemisphere
inward at one end and on the other end
it is closed with a flat circular plate. The
height of water is \( 10 \mathrm{cm} \) when flat
circular surface is downward. Find the
level of the water, when it is inverted
upside down, common diameter is \( 7 \mathrm{cm} \)
and height of the cylinder is \( 20 \mathrm{cm} \)
Subject: Maths
Matrix A shows the weight of four boys and four girls in kg at the beginning of a diet programme to lose weight. Matrix B shows the corresponding weights after
the diet programme. \( \boldsymbol{A}=\left[\begin{array}{llll}\mathbf{3 5} & \mathbf{4 0} & \mathbf{2 8} & \mathbf{4 5} \\ \mathbf{4 2} & \mathbf{3 8} & \mathbf{4 1} & \mathbf{3 0}\end{array}\right] \underset{\mathbf{G i r l s}}{\mathbf{B o y s}}, \mathbf{B}= \)
\( \left[\begin{array}{cccc}\mathbf{3 2} & \mathbf{3 5} & \mathbf{2 7} & \mathbf{4 1} \\ \mathbf{4 0} & \mathbf{3 0} & \mathbf{3 4} & \mathbf{2 7}\end{array}\right] \begin{array}{c}\boldsymbol{B} \mathbf{o y s} \\ \text {Girls}\end{array} \)
Find the weight loss of the Boys and Girls.
Subject: Physics
A force of 100 dynes acts on mass of 5
\( \mathrm{gm} \) for 10 sec. The velocity produced is:
A. \( 2 \mathrm{cm} / \mathrm{sec} \)
B. 20 cm/sec
c. \( 200 \mathrm{cm} / \mathrm{sec} \)
D. 2000 cm/sec
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\boldsymbol{x}-\mathbf{1}}+ \)
\( \sqrt{x+24-10 \sqrt{x-1}} ; 1<x<26 \) be
real valued function. Then \( f^{\prime}(x) \) for \( 1< \)
\( \boldsymbol{x}<26 \) is
\( A \cdot 0 \)
в. \( \frac{1}{\sqrt{x-1}} \)
c. \( 2 \sqrt{x-1}-5 \)
D. none of these
Subject: Chemistry
The diagram shows some parts of the
periodic table with few elements.
Identify the set of two elements which
combine together to form a covalent
compound with a formula of the type
\( \boldsymbol{X} \boldsymbol{Y}_{3} \)
A \( \cdot 2 \) and 3
B. 4 and 6
\( c .5 \) and 7
D. 1 and 7
Subject: Maths
Madhuri went to a supermarket. The
price changes are as follows. The price
of rice reduced by \( 5 \% \), jam and fruits reduced by \( 8 \% \) and oil and dal
increased by \( 10 \% \). Help Madhuri to find the changed prices in the given table.
Original Item \( \quad \) Changed price price/kg
Rice
\[
\text {Rs.30}
\]
\( m \)
\[
\begin{array}{l}
\text {Rs.100} \\
\text {Rs.} 280
\end{array}
\]
Apples
\[
\text {Rs.120}
\]
Dal Rs.80
Subject: Maths
If \( L \equiv 2 x+y-6=0, \) then the locus of
circumcentre of \( \triangle P Q R \) is
A. \( 2 x-y=4 \)
в. \( 2 x+y=3 \)
c. \( x-2 y=4 \)
D. \( x+2 y=3 \)
Subject: Chemistry
If there are three possible values
\( (-1 / 2,0,+1 / 2) \) for the spin quantum,
then electronic configuration of \( \boldsymbol{K}(\mathbf{1 9}) \)
will be:
A \( \cdot 1 s^{3}, 2 s^{3} 2 p^{9}, 3 s^{3} 3 p^{\text {th }} \)
B . \( 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{2} 3 p^{6}, 4 s^{1} \)
C \( \cdot 1 s^{2}, 2 s^{2} 2 p^{9}, 3 s^{2} 3 p^{4} \)
D. None of these
Subject: Physics
A straight copper wire of length \( 1000 \mathrm{m} \)
and cross-sectional area \( 1.0 \mathrm{mm}^{2} \)
carries a current 4.5 A. Assuming that one free electron corresponds to each copper atom.(Density of copper \( = \) \( 8.96 \times 10^{3} \mathrm{kg} m^{-3}, \) Atomic mass of
copper \( =63.5 \mathrm{g}, \) Resistivity of copper
wire \( =1.69 \times 10^{-8} \Omega \mathrm{m} \) ).
A. The time taken by an electron to displace from one end of the wire to the other is \( 4 \times 10^{6} \mathrm{s} \)
B. The sum of electric force acting on all free electrons in the given wire is \( 1 \times 10^{6} \mathrm{N} \)
C. The time taken by an electron to displace from one end of the wire to the other is \( 3 \times 10^{6} \)
D. Both (b) and (c)
Subject: Physics
An electron \( \left(\operatorname{mass}=9.1 \times 10^{-31}\right. \)
charge \( \left.=-1.6 \times 10^{-19} \mathrm{C}\right) \) experiences
no deflection if subjected to an electric field of \( 3.2 \times 10^{5} V / m \) and a magnetic
field of \( 2.0 \times 10^{-3} \mathrm{Wb} / \mathrm{m}^{2} . \) Both the
fields are normal to the path of electron and to each other. Ifthe electric field is
removed, then the electron will revolve in an orbit of radius:
A . \( 45 \mathrm{m} \)
в. 4.5 т
c. \( 0.45 m \)
D. \( 0.045 \mathrm{m} \)
Subject: Physics
The ratio of magnetic fields due to a bar
magnet at the two axial points \( P_{1} \) and
\( P_{2} \) which are separated from each other
by \( 10 \mathrm{cm} \) is \( 25: 2 . \) Point \( P_{1} \) is situated at
10cm from the centre of the
magnet.Points \( P_{1} \) and \( P_{2} \) are on the
same side of magnet and distance of \( \boldsymbol{P}_{2} \)
from the centre is greater than distance
of \( P_{1} \) from the centre of magnet,then magnetic length is
A. \( 5 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
c. \( 15 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
Subject: Chemistry
Which statements is/are correct?
dl or \( (\pm) \) or raccmic
(A)
This question has multiple correct options
A. Compound
(B) is meso- and (C) is racemic-1, 2dimethyl cyclohexane
B. Compound
(B) is racemic-and (C) is meso-1, 2dimethyl cyclohexane
c. compound
(D) is 1,2 -dimethyl cyclohexane
D. Octane-2,7-dione is obtained on reductive ozonolysis of compound (D)
Subject: Chemistry
The following are some statements about oxides of VA group elements,
i) \( N O \) readily reacts with \( O_{2} \) to form
reddish-brown gas.
ii) The formula of Brown ring is
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5} \boldsymbol{N} \boldsymbol{O}\right] \boldsymbol{S} \boldsymbol{O}_{4} \)
iii) \( N_{2} O_{3} \) is called laughing gas.
The correct combination is:
A. All are correct.
B. I \& III are correct
c. I \& ॥ are correct
D. II \& III are correct
Subject: Maths
Find the equation of a circle if:
(i)center \( (a, b) \) and radius \( \sqrt{a^{2}+b^{2}} \)
(ii)center \( (a \sec \alpha, b \tan \alpha) \) and radius
\( \sqrt{a^{2} \sec ^{2} \alpha+b^{2} \sec ^{2} \alpha} \)
Subject: Physics
The 90 pF capacitor is connected to a 12 V battery. How many electrons are transferred from one plate to another?
\( \mathbf{A} \cdot 1.1 \times 10^{9} \)
B . \( 6.7 \times 10^{9} \)
\( \mathrm{c} \cdot 4 \times 10^{19} \)
D . \( 5 \times 10^{19} \)
Subject: Physics
An ideal resistance \( R \), ideal inductance
\( L, \) ideal capacitance \( C \) and \( A C \) volt
meters \( V_{1}, V_{2}, V_{3} \) and \( V_{4} \) are
connected to an AC source as shown. At
resonance,
A. Reading in \( V_{3}= \) reading in \( V_{1} \)
B. Reading in \( V_{1}= \) reading in \( V_{2} \)
c. Reading in \( V_{2}= \) reading in \( V_{4} \)
D. Reading in \( V_{2}= \) reading in \( V \)
Subject: Physics
Assertion
The inductive reactance limits
amplitude of the current in a purely inductive circuit
Reason
The inductive reactance is independent
of the frequency of the current
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
In the reaction \( x \) and \( y \) are:
\( \mathbf{A} \cdot x=H_{2} \cdot P d / B a S O_{4} ; y=N a O A c, A c_{2} O \)
B \( \cdot x=L i A l H_{4} ; y=N a O A c, A c_{2} O \)
C \( \cdot x=H_{2}, P d / C ; y=N a O H, A c_{2} O \)
\( \mathbf{D} \cdot x=L i A l H_{4} ; y=N a O H, A c_{2} O \)
Subject: Chemistry
The skeletal structure of \( C H_{3} C O O H \)
as shown above is correct but some of
the bonds are shown incorrectly. Write the correct Lewis structure for acetic
acid.
\[
\mathrm{H}=\frac{\mathrm{H}}{\mathrm{C}}-\mathrm{C}-\mathrm{O}-\mathrm{H}
\]
Subject: Physics
The torque of a force \( \overrightarrow{\boldsymbol{F}}=\mathbf{2} \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\boldsymbol{4} \hat{\boldsymbol{k}} \)
acting at a point \( \vec{r}=\mathbf{7} \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}+\hat{\boldsymbol{k}} \) is
\( \mathbf{A} \cdot 14 \hat{i}+38 \hat{j}+16 \hat{k} \)
B . \( 4 \hat{i}+4 \hat{j}+6 \hat{k} \)
c. \( -14 \hat{i}+38 \hat{j}-16 \hat{k} \)
D. \( 11 \hat{i}-26 \hat{j}+\hat{k} \)
Subject: Maths
ff \( y=\operatorname{en}\left\{\frac{x+\sqrt{\left(a^{2}+x^{2}\right)}}{a}\right\}, \) then the
value of \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is
A \( \cdot \sqrt{a^{2}-x^{2}} \)
B. \( a \sqrt{a^{2}+x^{2}} \)
c. \( \frac{1}{\sqrt{a^{2}+x^{2}}} \)
D. \( x \sqrt{a^{2}+x^{2}} \)
Subject: Physics
A uniform rod \( A B \) of mass \( m \) and length
is in equilibrium with the help of two
identical inextensible strings as shown
in figure. Choose the correct option \( (s) \)
This question has multiple correct options
A. After cutting the string (2) motion of centre of mass of the rod is circular
B. After cutting the string (2) motion of centre of mass of the rod is not circular
c. Just after cutting the string (2) the acceleration of point A along the string (1) is zero.
D. Just after cutting the string (2) the acceleration of point A perpendicular to the string (1) is not zero.
Subject: Maths
The volumes of two cylinders are as a:
b, and their heights are as \( c: \) d. Find the ratio of their diameters.
A \( \cdot \frac{a d}{b c} \)
B. \( \frac{a d^{2}}{a c^{2}} \)
c. \( \sqrt{\frac{a d}{b c}} \)
D. \( \sqrt{\frac{a}{b}} \times \frac{c}{d} \)
Subject: Physics
If the instantaneous emf and the
instantaneous current equations of an
A.C. circuit are respectively
\( e=E_{0} \sin (\omega t-\pi / 6), i=I_{0} \sin (\omega t+ \)
\( \boldsymbol{\pi} / \boldsymbol{6}), \) then the phase difference
between voltage and current is :
A \( \cdot \frac{\pi}{3} \)
B. zero
\( c \cdot \frac{\pi}{2} \)
D.
Subject: Maths
\( A, B, C \) are three events for which
\( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 6}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{C})= \)
\( \mathbf{0 . 5}, \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\mathbf{0 . 8}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{C})=\mathbf{0 . 3} \)
and \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B} \cap \boldsymbol{C})=\mathbf{0 . 2 .} \) If \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B} \cup \)
\( C) \geq 0.85 \) then the interval of values of
\( \boldsymbol{P}(\boldsymbol{B} \cap \boldsymbol{C}) \) is
В. [0.55,0.7]
D. none of these
Subject: Chemistry
Which of the following statements are
correct?
This question has multiple correct options
A. Benzaldehyde reduces Fehling's solution
\( \mathbf{B} \cdot C_{6} H_{5} C H O+C_{6} H_{5} C H O \stackrel{N a O H}{\longrightarrow} C_{6} H_{5} C H= \)
\( C H C_{6} H_{5}+O_{2} \) is a Claisen-Schmidt reaction.
C \( \cdot p K_{a} \) (formic acid) is less than \( p K_{a} \) (acetic acid)
D.
Subject: Physics
Relative permittivity and permeability of
a material are \( \varepsilon_{r} \) and \( \mu_{r} \) respectively. The
values of these quantities allowed for a diamagnetic material are
\( \mathbf{A} \cdot \varepsilon_{r}=0.5, \mu_{r}=1.5 \)
\( \mathbf{B} \cdot \varepsilon_{r}=1.5, \mu_{r}=0.5 \)
\( \mathbf{c} \cdot \varepsilon_{r}=0.5, \mu_{r}=0.5 \)
\( \mathbf{D} \cdot \varepsilon_{r}=1.5, \mu_{r}=1.5 \)
Subject: Chemistry
Which of the following choices shows the ground state electron configuration of an ion of a halogen?
\( \mathbf{A} \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \)
B . \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 2 d^{10} 3 s^{2} 3 p^{5} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{1} \)
Subject: Biology
Select the option which correctly fills up the blanks, in the following
statement-
(i) Destruction of embryo or foetus in the uterus is called
(ii) Government of India legalised MTP in the year
(iii) Natural family planning method is also called
(iv) is a method in which the
male partner withdraws his penis from vagina just before ejaculation.
(v) \( ----- \) is a copper releasing and is a hormone releasing intra uterine devices.
A . (i) foeticide
(ii) 1961
(iii) rhythm method, (iv) safety period, (v) Multiload 375, LNG-20
B. (i) foeticide
(ii) 1971
(iii) rhythm method, (iv) coitus interruptus
(v) Multiload 375, LNG-20
c. (i) foeticide,
(ii) 1965
(iii) rhythm method, (iv) coitus interruptus,
(v) Multiload 375, CuT
D (ii) matricide
(ii) 1982
(iii) contraception method, (iv) interruptus, (v) Multiload 375, LNG-20
Subject: Physics
Assertion
When a wire is stretched to two times
its length keeping the diameter same, its resistance becomes 4 times
Reason
Resistance is directly proportional to length of wire
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
A first order reaction takes 40 min for
\( 30 \% \) decompsoition. The value of \( t_{1 / 2} \) will be:
A. \( 97.7 \mathrm{min} \)
B. 77.7 min
c. \( 80.5 \mathrm{min} \)
D. \( 70.7 \mathrm{min} \)
Subject: Maths
Find the mean deviation about the
median for the data
\( \mathbf{3 6}, \mathbf{7 2}, \mathbf{4 6}, \mathbf{4 2}, \mathbf{6 0}, \mathbf{4 5}, \mathbf{5 3}, \mathbf{4 6}, \mathbf{5 1}, \mathbf{4 9} \)
Subject: Physics
An electromagnetic wave of frequency
\( \boldsymbol{v}=\mathbf{3 . 0} \boldsymbol{M} \boldsymbol{H} \boldsymbol{z} \) passes from vacuum
into a dielectric medium with
permittivity \( \epsilon=4.0 . \) Then
A. wavelength is halved and frequency remains unchanged.
B. wavelength is doubled and frequency becomes half.
C. wavelength is doubled and frequency remains unchanged.
D. wavelength and frequency both remain unchanged.
Subject: Maths
The domain of \( \mathbf{f}(\mathbf{x})=\log \{(\boldsymbol{x}-\mathbf{3})(\mathbf{6}- \)
\( x)\} \) is
\( A \cdot(3, \infty) \)
в. (3,6)
\( c \cdot(0, \infty) \)
D. \( (-\infty, \infty) \)
Subject: Chemistry
The PDI (polydisersity index) is the ratio of weight to number-average molecular masses, \( M \bar{w} / M \bar{n} . \) In natural polymers, which are generally monodispersed, PDI is ............... and in synthetic polymers which are always polydispersed, PDI is
because \( M \bar{w} \) is always than \( M \bar{n} \)
Fill in the blanks.
A. greater than 1,1 , higher
B. 1, greater than 1, higher
c. less than 1,1 , lower
D. 1, less than 1, lower
Subject: Biology
The diagram given below show the cross
section of two kinds of blood vessels:
i) Identify the blood vessels \( A \) and \( B \). In
each case give a reason to support your
answer.
ii) Name the parts numbered 1 and 2
iii) When are the sound "LUB" and "DUP"
produced during a heartbeat?
iv) Name the blood vessel that:
Begins and ends in capillaries
2. Supplies blood to the walls of the
heart.
Subject: Chemistry
Find the frequency of light that
corresponds to photons of energy \( 5.0 \times \) \( 10^{-5} \) erg.
\( \mathbf{A} \cdot 7.5 \times 10^{-21} \sec ^{-1} \)
В. \( 7.5 \times 10^{-21} \) sec
c. \( 7.5 \times 10^{21} \) sec \( ^{-1} \)
D. \( 7.5 \times 10^{2} \) sec
Subject: Physics
A chain lies on a rough horizontal table. It starts sliding when one-fourth of its length hangs over the edge of the table. The coefficient of static friction
between the chain and the surface of
the table is:
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{4} \)
D. 1 \( \overline{5} \)
Subject: Physics
The thinnest bubble film in air that can
possibly strongly reflect red light
because of constructive interference
makes up a certain bubble. How could we create the thinnest
bubble film that will strongly reflect
purple light?
A. Use a thicker film than the film used for the "red" bubble
B. Use a film with a higher index of refraction than the film used for the "red" bubble
C. Make a bubble larger than the "red" bubble
D. Make a bubble smaller than the "red" bubble
E. Use a thinner film than the film used for the "red" bubble