AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If the points \( \boldsymbol{A}(\boldsymbol{a}, \boldsymbol{b}), \boldsymbol{B}(-\boldsymbol{a},-\boldsymbol{b}) \) and
\( P\left(a^{2}, a b\right) \) are collinear then the ratio in
which \( P \) divides \( \overline{A B} \) is
A \( .1+a: 1-a \)
B. \( 1: a \)
\( c \cdot a: 1 \)
D. \( 1-a: 1+a \)
Subject: Maths
1500 families with 2 children were
selected randomly, and the following
data were recorded:
No. of girls in family

No. of families
\[
\begin{array}{ll}
475 & 814
\end{array}
\]
Compute the probability of a family, chosen at random, having
(i) 2 girls
(ii) 1 girl
(iii) No girl
Also check whether the sum of these
probabilities is 1
Subject: Physics
A hollow sphere of radius 5 cm is
charged such that the potential on its
surface is \( 10 \mathrm{V} \). The potential at the
center of the sphere will be:
\( \mathbf{A} \cdot 0 V \)
B. \( 10 V \)
C. same as at a point \( 5 \mathrm{cm} \) away from the surface
D. same as at point \( 25 \mathrm{cm} \) away from the center
Subject: Maths
Mark the correct alternative of the
following.
n figure, if \( A B \| C D, \) then the values of \( x \)
and y are?
A. \( x=106, y=307 \)
B. \( x=307, y=106 \)
c. \( x=107, y=306 \)
D. \( x=105, y=308 \)
Subject: Physics
A metal ball immersed in water weighs
\( \boldsymbol{w}_{1} \) at \( 5^{\circ} \boldsymbol{C} \) and \( \boldsymbol{w}_{2} \) at \( \mathbf{5 0 ^ { \circ }} \boldsymbol{C} \). The
coefficient of cubical expansion of
metal is less than that of water. Then
A. \( w_{1}>w_{2} \)
В. \( w_{1}<w_{2} \)
\( \mathbf{c} \cdot w_{1}=w_{2} \)
D. Insufficient information
Subject: Chemistry
the wavelength in Angstroms of the photon that is emitted when an electron in Bohr orbit \( n=2 \) returns to the orbit \( n= \)
in the hydrogen atom. The ionisation potential of the ground state hydrogen atoms is \( 2.17 \times 10^{-11} \) ergs per atom:
A \( \cdot 1220 A^{\circ} \)
B . \( 1350 A^{\circ} \)
c. \( 610 A^{\circ} \)
D. \( 570 A^{\circ} \)
Subject: Maths
Number of points having position vector \( \boldsymbol{a} \hat{\boldsymbol{i}}+\boldsymbol{b} \hat{\boldsymbol{j}}+\boldsymbol{c} \hat{\boldsymbol{k}}, \) where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c} \)
\{1,2,3,4,5\} such that \( 2^{a}+3^{b}+5^{c} \) is
divisible by 4 is
A. 140
B. 70
\( c .100 \)
D. none of these
Subject: Physics
Two polaroids \( A \) and \( B \) are kept with
their transmission axis at an angle \( \theta \)
with respect to one another. If the
transmitted intensity of light is \( \boldsymbol{I}_{t}= \)
\( 0.75 I_{0}, \) where \( I_{0} \) is the intensity of light
incident on the system, then \( \theta \) is:
A \( \cdot 30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Chemistry
Assertion
\( \boldsymbol{S} \boldsymbol{O}_{3} \) has a planar structure
Reason
Sulphur atom in \( S O_{3} \) is \( S p^{2} \) hybridized
and \( O-S-O \) bond angle in \( 120^{\circ} \)
A. If both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion
B. If both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion.
C. If assertion is CORRECT, but reason is INCORRECT
D. If assertion is INCORRECT, but reason is CORRECT
Subject: Chemistry
Which one of the following ions has
electronic configuration \( [\mathrm{Ar}] 3 \mathrm{d}^{6} ? \)
\( A \cdot N i^{3} \)
B. \( \mathrm{Mn}^{3+} \)
\( \mathbf{c} \cdot \mathrm{Fe}^{3} \)
\( D \cdot c_{0}^{3} \)
Subject: Physics
The moon is observed from two
diametrically opposite points \( A \) and \( B \) on earth. The angle \( \theta \) subtended at the
moon by the two directions of
observation is \( 1^{0} 54^{\prime} . \) Given the diameter
of the earth to be about \( 1.276 \times 10^{7} m \)
compute the distance of the moon from
the earth.
Subject: Chemistry
The standard enthalpy of formation of \( N H_{3} \) is \( -46 k J m o l^{-1} . \) If the enthalpy of
formation of \( \boldsymbol{H}_{2} \) from its atoms is
\( -436 k J m o l^{-1} \) and that of \( N_{2} \) is
\( -712 k J m o l^{-1}, \) the average bond
enthalpy of \( N-H \) bond in \( N H_{3} \) is:
A \( .+1056 k J m o l^{-1} \)
В. \( -1102 k J \) mol \( ^{-1} \)
c. \( -964 k J m o l^{-1} \)
D. \( +352 k J m o l^{-1} \)
Subject: Chemistry
Find IUPAC name of the hydrate isomer
of \( C r C l_{3} .6 H_{2} O, \) which is having lowest
electrical conductivity
A. Hexaaquachromium(III)chloride
B. Tetraaquadichloridochromium(III)chloridedihydrate
c. Pentaaquachloridochromium(III)chloridemonohydrat
D. Triaquatrichloridochrominum(III)trihydrate
Subject: Chemistry
Which of the following statements is
not correct about \( X e F_{2} ? \)
A. It can be obtained by direct reaction between \( F_{2} \) and Xe at high pressure.
B. \( X e F_{2} \) undergoes alkaline hydrolysis to give \( O_{2} \) and \( X \) e.
C \( . X e F_{2} \) is a powerful reducing agent.
D. \( X e F_{2} \) contains two bond pairs and three lone pairs.
Subject: Physics
Find the heat lost by a copper cube of
mass 400 g when it cool from \( 100^{\circ} \mathrm{C} \) to
\( 30^{\circ} \mathrm{C} . \) (Specific of heat of copper \( = \) \( \left.\mathbf{3} 9 \mathbf{0} J \mathbf{k} g^{-1}^{o} \mathbf{C}^{-1}\right) \)
A. 50000
B. 10000
c. 10920 J
D. 10900 J
Subject: Physics
If two waves are represented by \( y_{1}= \)
\( 2 \sin (4 x-300 t) \) and \( y_{2}=\sin (4 x- \)
\( 300 t-0.2) \) then, their superposed wave
will have angular frequency
A. \( 150 / \pi \)
в. \( 150 \pi \)
\( c .300 \)
D. \( 600 \pi \)
Subject: Maths
In the diagram:
\( A B \) is parallel to \( E D \) the points \( \mathrm{B}, \mathrm{C} \) and \( \mathrm{E} \) lie on a straight
line, and
the points \( A, C \) and \( D \) also lie on a straight line. What is the value of e (the length of CD)
7
A . 14.5
в. 16.
\( c \cdot 17.5 \)
\( D \cdot 18 \)
Subject: Maths
The value of the expression \( \frac{\left(x^{2}-y^{2}\right)^{3}+\left(y^{2}-z^{2}\right)^{3}+\left(z^{2}-x^{2}\right)^{3}}{(x-y)^{3}+(y-z)^{3}+(z-x)^{3}} \) is
A \( \cdot\left(x^{2}-y^{2}\right)\left(y^{2}-z^{2}\right)\left(z^{2}-x^{2}\right) \)
B. \( 3(x-y)(y-z)(z-x) \)
C. \( (x+y)(y+z)(z+x) \)
D. \( 3(z+y)(y+z)(z+x) \)
Subject: Chemistry
Which of the following are correct?
This question has multiple correct options
A. Silica gel adsorbs \( H_{2} O_{2} \)
B. Anhydrous \( C a C l_{2} \) absorbs \( \mathrm{H}_{2} \mathrm{O} \)
C. Gas masks works on the principle of selective adsorption.
D. zeolites are shape selective catalyst and water softners
Subject: Maths
Area of the region bounded by \( y^{2} \leq \) \( \mathbf{4} \boldsymbol{x}, \boldsymbol{x}+\boldsymbol{y} \leq \mathbf{1}, \boldsymbol{x} \geq \mathbf{0}, \boldsymbol{y} \geq \mathbf{0} \) is \( \boldsymbol{a} \sqrt{\mathbf{2}}+\boldsymbol{b} \)
then value of \( a-b \) is?
A .4
B. 6
\( c \cdot 8 \)
D. 12
Subject: Physics
A \( 600 n m \) light is perpendicularly
incident on a soap film suspended in
air. The film is \( 1.00 \mu m \) thick with \( n= \)
1.35. Which statement most accurately
describes the interference of light reflected by the two surfaces of the film?
A. The waves are close to destructive interference
B. The waves are close to constructive interference
c. The waves show complete destructive interference
D. The waves show complete constructive interference
Subject: Chemistry
What is the main difference between
electromagnetic wave theory and
Planck's quantum theory?
A. According to electromagnetic wave theory, the energy is emitted or absorbed continuously whereas according to Planck's quantum theory, energy is emitted or absorbed discontinuously,i.e. in certain definite packets called 'Quanta'
B. According to electromagnetic wave theory, energy is emitted or absorbed discontinuously, i.e., in certain definite packets called 'Quanta' whereas according to Planck's quantum theory, the energy is emitted or absorbed continuously
C. According to electromagnetic wave theory, the energy is emitted or absorbed continuously whereas according to Planck's quantum theory, energy is emitted or absorbed continuously,i.e. in certain definite packets called 'Quanta'
D. According to electromagnetic wave theory, the energy is emitted or absorbed discretely whereas according to Planck's quantum theory, energy is emitted or absorbed discontinuously, i.e., in certain definite packets called'Quanta'
Subject: Chemistry
Amylopectin is composed of:
\( \mathbf{A} \cdot \alpha-D- \) glucose \( , C_{1}-C_{4} \) and \( C_{1}-C_{6} \) linkages
B. \( \alpha-D- \) glucose, \( C_{1}-C_{4} \) and \( C_{2}-C_{6} \) linkages
\( \mathbf{c} \cdot \beta-D- \) glucose, \( C_{1}-C_{4} \) and \( C_{2}-C_{6} \) linkages
D. \( \beta-D- \) glucose, \( C_{1}-C_{4} \) and \( C_{1}-C_{6} \) linkages
Subject: Chemistry
The standard reduction potentials of \( \boldsymbol{C u}^{2+} / \boldsymbol{C u} \) and \( \boldsymbol{C u}^{2+} / \boldsymbol{C u}^{+} \) are \( \boldsymbol{0 . 3 3 7} \)
and \( 0.153 \mathrm{V} \) respectively. The standard electrode potential of \( C u^{+} / C u \) half cell
is:
A . \( 0.184 \mathrm{v} \)
B. \( 0.827 \mathrm{V} \)
c. \( 0.521 \mathrm{v} \)
D. \( 0.490 v \)
Subject: Maths
Two sides of a triangle are \( 64 \mathrm{m} \) and 48
m. If height of the triangle corresponding to \( 48 \mathrm{m} \) side is \( 6 \mathrm{m} \), then the height of the triangle corresponding to \( 64 \mathrm{m} \) side is \( 4.5 \mathrm{m} \)
If true then enter 1 and if false then
enter 0
Subject: Physics
Two spheres each of mass \( 10^{5} k g \) and
radius \( 10 m \) are kept in constant. Find the force of gravitational acting between them.
\( \mathbf{A} \cdot 10^{-3} N \)
В \( \cdot 6.67 \times 10^{-3} N \)
c. \( 6.67 \times 10^{-11} N \)
D. \( 10^{-11} N \)
Subject: Maths
Line through origin and parallel to \( Y \) -
axis is \( \dots \dots \)
A \( \cdot \frac{x}{1}=\frac{y}{0}=\frac{2}{0} \)
B. \( \frac{x}{0}=\frac{y}{1}=\frac{z}{0} \)
\( \mathbf{c} \cdot \frac{x}{1}=\frac{y}{0}=\frac{z}{1} \)
D \( \cdot \frac{x}{1}=\frac{y}{1}=\frac{z}{0} \frac{z}{0} \)
Subject: Physics
Assertion
A rigid body can be elastic.
Reason
If a force is applied on the rigid body, its
dimensions may change.
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
The radiation from the sun, incident normally at the surface of the earth is
\( 20 k c a l / m^{2} \) min. What would be the radiant energy incident normally on the earth if the sun had a temperature,
twice of the present one?
A. \( 80 k c a l / m^{2} \min \)
B . \( 320 k c a l / m^{2} \min \)
c. \( 160 k c a l / m^{2} \) min
D. \( 40 k c a l / m^{2} \) min
Subject: Chemistry
Determine the \( p H \) of a \( 0.2 M \) solution of
pyridine \( C_{5} H_{5} N \)
[For pyridine \( : \boldsymbol{K}_{\boldsymbol{b}}=\mathbf{1 . 5} \times \mathbf{1 0}^{-\mathbf{9}} \mathbf{]} \)
\( \mathbf{A} \cdot p H=4.76 \)
в. \( p H=8.43 \)
c. \( p H=9.24 \)
D. \( p H=11.73 \)
Subject: Chemistry
Which of the following has the electronic configuration:
\( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{6} \)
A \( \cdot F e^{2} \)
в. \( C l \)
c. \( K^{\text {t }} \)
D. \( C s \)
E . \( A u \)
Subject: Physics
A charge of magnitude \( Q \) is placed at
the origin. A second charge of
magnitude \( 2 Q \) is placed at the position \( \boldsymbol{x}=\boldsymbol{d} \) along the \( \mathbf{x} \) -axis.

Other than infinitely far away, at what position on the \( x \) -axis will a positive test charge experience a zero net force?
A \( x=\frac{d}{\sqrt{2}} \)
B. \( x=\frac{d}{2 \sqrt{2}} \)
c. \( x=\frac{d}{3} \)
D. \( x=\frac{d}{1+\sqrt{2}} \)
E. At no position other than infinitely far away will the positive test charge experience zero net force
Subject: Physics
The moment of inertia of a solid cylinder
about its own axis is the same as its
moment of inertia about an axis
passing through its centre of gravity and perpendicular to its length.The relation between its length \( L \)
and radius \( \boldsymbol{R} \) is:
A. \( L=\sqrt{2} R \)
В. \( L=\sqrt{3} R \)
c. \( L=3 R \)
D. \( L=R \)
Subject: Physics
\( 200 g \) of a certain metal at \( 83^{\circ} \mathrm{C} \) is
immersed in \( 300 g \) of water at \( 30^{\circ} \mathrm{C} \). The
final temperature is \( 33^{\circ} \mathrm{C} \). Calculate the specific heat capacity of the metal. Assume that the specific heat capacity of water is \( 4.2 J g^{-1} K^{-1} \)
A \( \cdot 0.378 \mathrm{Jg}^{-1} \mathrm{K}^{-1} \)
B. \( 0.578 \mathrm{Jg}^{-1} \mathrm{K}^{-1} \)
C. \( 0.778 \mathrm{Jg}^{-1} \mathrm{K}^{-1} \)
D. None of the above
Subject: Maths
If the function \( \left\{\begin{array}{cc}\frac{k \cos x}{(\pi-2 x)}, & \text { when } x \neq \frac{\pi}{2} \\ 3, & x=\frac{\pi}{2}\end{array}\right. \)
be continue at \( x=\frac{\pi}{2}, \) then the value of
\( k \) is
A . 3
в. -3
c. -5
D. 6
Subject: Biology
Match column I with column II and
select the correct option from the codes
given.
Column I
A. Binomial nomenclature
(i) Hippocrates
B. The Darwin of the \( 20^{t h} \)
(ii) Ernst Mayr century
C. Father of botany
(iii) Linnaeus
(iv)
D. Father of medicine \( \quad \) Theopharastus
\( A \cdot A-(\text { iii) }, B-(i i), C-(i v), D-(i) \)
B. A-(iii), B-(ii), C-(i), D-(iv)
C \( . A-(i), B-(i i), C-(i i i), D-(i v) \)
D. A-(ii), B-(iii), C-(iv), D-(i)
Subject: Maths
The number of \( A \) in \( T_{p} \) such that \( \operatorname{det}(A) \) is not divisible by p is?
\( A \cdot 2 p^{2} \)
B . \( p^{3}-5 p \)
c. \( p^{3}-3 p \)
D. \( p^{3}-p^{2} \)
Subject: Chemistry
If uncertainty principle is applied to an object of mass 1 microgram, the uncertainty value of velocity and position will be :
A \( \cdot 0.2 \times 10^{-4} m^{2} s^{-1} \)
В. \( 0.52 \times 10^{6} m^{2} s^{-1} \)
D. \( 2 \times 10^{-34} \mathrm{m}^{2} s^{-1} \)
Subject: Chemistry
Consider a gaseous reaction, the rate of which is given by \( k[A][B] . \) The volume of the reaction vessel containing these
gases is suddenly reduced to \( 1 / 4^{t h} \) of the initial volume. The rate of the
reaction as compared with original rate is:
A \( \cdot \frac{1}{16} \) times
B. 16 times
c. \( \frac{1}{8} \) times
D. 8 times
Subject: Maths
The contrapositive of "If \( \boldsymbol{x} \in \boldsymbol{A} \cup \boldsymbol{B} \)
then \( \boldsymbol{x} \in \boldsymbol{A} \) or \( \boldsymbol{x} \in \boldsymbol{B}^{\prime \prime}, \) is
A. If \( x \in A \) or \( x \in B \), then \( x \in A \cup B \).
B. If \( x \notin A \cup B \), then \( x \notin A \) and \( x \notin B \).
c. If \( x \notin A \) and \( x \notin B, \) then \( x \notin A \cup B \)
D. If \( x \notin A \) and \( x \notin B, \) then \( x \in A \cup B \).
Subject: Physics
A car moving with a constant acceleration covers the distance
between two points \( 180 m \) apart in \( 6 s \)
If its speed as it passes the second
point is \( 45 \mathrm{ms}^{-1}, \) its speed at the first
point is
A \( \cdot 10 m s^{-1} \)
В \( \cdot 15 \mathrm{ms}^{-1} \)
c. \( 30 m s^{-1} \)
D. \( 45 \mathrm{ms}^{-1} \)
Subject: Physics
A particle is moving in a straight line with constant acceleration 'a' and
initial velocity \( v_{0} . \) Average velocity
during first \( t \) second is
A \( \cdot v_{0}+\frac{1}{2} \mathrm{at} \)
B. \( v_{0}+a t \)
c. \( \frac{v_{0}+a t}{2} \)
D. \( \frac{v_{0}}{2} \)
Subject: Maths
Find Mean Deviation from Median for
the given data
\( \boldsymbol{x} \quad \mathbf{1 0} \) \( \mathbf{3 0} \) 5 \( \mathbf{2 0} \) 40
\( f \) 18 25 27
A. 18.45
в. 16.65
c. 10.5
D. 11.36
Subject: Biology
toppr
Q Type your question
membrane. It allows small molecules,
such as water, to pass through easily, while larger molecules, such as sucrose, are restricted. Movement of
molecules across the tubing is due to concentration gradients. In an experiment designed to study osmosis, several pieces of dialysis tubing were filled with sucrose solutions of varying concentration and placed in beakers containing distilled water. The rate and direction of water movement was
determined by weighing the bags before and after placing them in the distilled water. The data are recorded below.Table
\( \begin{array}{llll}\text { Tube } & \begin{array}{c}\text { Tube } \\ \text { contents }\end{array} & \begin{array}{c}\text { Mass }(\mathrm{g}) \\ 0\end{array} & \begin{array}{c}\text { Mas } \\ (\mathrm{g})\end{array} \\ \text { number } & \begin{array}{l}\text { (beaker } \\ \text { contents) }\end{array} & \text { minutes } & \begin{array}{l}15 \\ \text { minn }\end{array}\end{array} \)
Distilled water
(distilled
water)
10\% sucrose the and suistilled water)
\( 40 \% \)
sucrose 'distilled
a water
Distilledd water
(40\%)
sucrose)
Cell membranes are also
semipermeable, allowing water but not other substances to cross easily. A red blood cell placed in a \( 0.9 \% \) NaCl solution will neither swell nor shrivel. Based on
this knowledge, and the information presented in Table 1 , what would happen to a red blood cell placed in a \( 20 \% \) NaCl solution?
A. Water would be drawn out of the cell and the cell would swell
B. Water would be drawn into the cell and the cell would swell
c. water would be drawn out of the cell and the cell would shrivel
D. water would be drawn into the cell and the cell would shrive
E. NC
Subject: Chemistry
Which of the following is a correct name according to IUPAC conventions of the
given compound? This question has multiple correct options
A. 1,4 -dimethylcyclohex- - ene
B. 2, 3-dimethylcyclohexene
c. 1,5 -dimethylcyclohex- - -ene
D. 1, 6-dimethylcyclohex-1-ene
Subject: Maths
The Venn diagram shows the
relationship between sets \( \xi, P, Q \) and \( R \)
The shaded region in the diagram
represents set:
\( A \cdot(P \cap R) \cap Q \)
B . \( \left(P \cap R^{\prime}\right) \cap Q^{\prime} \)
\( \mathrm{c} \cdot\left(P \cap R^{\prime}\right) \cap Q \)
\( \mathrm{D} \cdot Q^{\prime} \cap R^{\prime} \)
Subject: Maths
Find the median height for the following
data:
Height(cm) \( \quad \begin{array}{ccc}50- & 100- & 150- \\ 100 & 150 & 200\end{array} \)
Number of 2 tuder
A. \( 123.33 \mathrm{cm} \)
в. \( 133.33 \mathrm{cm} \)
c. \( 143.33 \mathrm{cm} \)
D. \( 153.33 \mathrm{cm} \)
Subject: Chemistry
Assertion: The density of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
decreases in lead storage cell during discharging. Reason: Calomel electrode is
a reference electrode and it is better
than hydrogen electrode.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Biology
Match the columns
A. A-2, B-5, C-4, D-3, E-1
B. \( A-1, B-2, C-3, D-4, E-5 \)
c. \( A-3, B-4, C-5 \) \( D-1 \) \( E-2 \)
D. \( A-4, B-5, C-2, D-1 \)
1.E
Subject: Physics
Assertion (A) : Isotopes of an element
can be separated by using a mass
spectrometer Reason (R): Separation of isotopes is possible due to difference in electron number of isotopes.
A. Both A and R are true and R is correct explanation of A
B. Both A and R are true and R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
Subject: Chemistry
\( 0.3500 g \) of potassium oxalate is titrated with \( 37.40 m L \) of sodium
permaganate to reach a pink end point in the following reaction:
\( \mathbf{5} C_{2} O_{4(a q)}+2 M n O_{4(a q)}^{-}+16 H_{(a q)}^{+} \rightarrow \)
\( \mathbf{2} M \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4(a q)}+\boldsymbol{6} \boldsymbol{S} \boldsymbol{O}_{4(a q)}^{2-}+\mathbf{1 0} \boldsymbol{C} \boldsymbol{O}_{2(\boldsymbol{g})}+ \)
\( \mathbf{8} \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \)
What was the concentration of the
sodium permanganate?
Subject: Physics
\( A \) and \( B \) are two objects with mass \( 6 k g \)
and \( 34 k g \) respectively. Then
A. \( A \) has more inertia than \( B \)
B. \( B \) has more inertia than \( A \)
c. \( A \) and \( B \) both have same inertia
D. None of the above is true
Subject: Physics
A transformer steps up an ac supply from 220 to 2200 V. If the secondary coil of the transformer has 2000 turns, Then
find the number of turns in its primary coil :
\( \mathbf{A} \cdot N_{p}=250 \) turns
B. \( N_{p}=300 \) turns
C \( . N_{p}=100 \) turns
D. \( N_{p}=200 \) turns
Subject: Maths
Let \( y=\frac{6 x^{3}-45 x^{2}+108 x+2}{2 x^{3}-15 x^{2}+36 x+1} \)
\( \boldsymbol{x} \in(\mathbf{0}, \mathbf{1 0}) \)
Maximum value of \( y \)
A . 3
B . 2
c. \( \frac{86}{29} \)
D. \( \frac{82}{29} \)
Subject: Chemistry
Reaction
\[
\begin{array}{l}
\frac{1}{2} N_{2}(g)+O_{2}(g) \leftrightharpoons N O_{2} \\
2 N O_{2}(g) \rightleftharpoons N_{2} O_{4}(g)
\end{array}
\]
Using the above equations, write down
expression for \( \boldsymbol{K} \) of the following
reaction:
\[
N_{2} O_{4}(g) \rightleftharpoons N_{2}(g)+\frac{1}{2} O_{2}(g)
\]
\( \mathbf{A} \cdot K_{1} K_{2} \)
B. \( \frac{K_{2}^{2}}{K_{1}} \)
\( c \)
\[
\frac{1}{K_{2} K_{1}^{2}}
\]
D.
\[
\frac{1}{K_{1}^{2} K_{2}}
\]
Subject: Maths
Line \( L \) passes through the points
(4,-5) and \( (3,7) . \) Find the slope of any line perpendicular to line \( \boldsymbol{L} \)
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{4} \)
\( c \cdot \frac{1}{8} \)
D. \( \frac{1}{12} \)
Subject: Physics
'The resistance of any conductor is directly proportional to length and inversely proportional to area of crosssection of the substance" from this is
concluded that
P: Value of resistance increases with
increase in the length of conductor.
Q: Value of resistance decreases with
increases in the length of conductor.
R: Value of resistance decreases with
increase in the area of cross-section.
S: Value of resistance decreases with
decrease in area of cross-section.
A. Statements \( Q \) and \( S \) are true
B. Statements P and S are true
c. Statements P and R are true
D. Statements Q and R are true
Subject: Chemistry
If \( (N, P, A s) \) was Dobereiner's triads
then what would be the absolute error in
atomic mass of phosphorous as compared to the original mass?
Atomic mass: Nitrogen \( =14 \) amu, Arsenic \( =\mathbf{7 4 . 9} \) amu, Phosphorous \( =\mathbf{3 1} \)
amu
A. 13.45
B. 12.45
c. 15.55
D. 16.55
Subject: Maths
If latus rectum of an ellipse \( \frac{x^{2}}{16}+ \) \( \frac{\boldsymbol{y}^{2}}{\boldsymbol{b}^{2}}=1\{0<\boldsymbol{b}<4\}, \) subtends angle \( \mathbf{2} \boldsymbol{\theta} \)
at farthest vertex such that \( \operatorname{cosec} \theta= \)
\( \sqrt{5} \) then which of the following options
are correct:
This question has multiple correct options
A \( \cdot e=\frac{1}{2} \)
B. no such ellipse exists
c. \( b=2 \sqrt{3} \)
D. area of \( \Delta \) formed by \( L R \) and nearest vertex is 6 sq units
Subject: Chemistry
Main source of lead is galena \( (P b S) . \) It
is converted to \( P b \) by:
\( (A) P b S \frac{a i r}{\Delta} P b O+S O_{2} \stackrel{C}{\longrightarrow} P b+ \)
\( \boldsymbol{C O}_{2} \)
\( (B) P b S \frac{a i r}{\Delta} P b O+P b S \rightarrow P b+S O_{2} \)
Identify the self-reduction process.
A \( .(A) \)
в. \( (B) \)
c. Both \( (A) \) and \( (B) \)
D. None of the above
Subject: Physics
Find the accelerations of the point \( \boldsymbol{B} \)
A \( \cdot 6.5 \mathrm{cm} / \mathrm{s}^{2} \)
в. \( 2.5 \mathrm{cm} / \mathrm{s}^{2} \)
\( \mathrm{c} \cdot 5 \mathrm{cm} / \mathrm{s}^{2} \)
D. \( 2 \mathrm{cm} / \mathrm{s}^{2} \)
Subject: Maths
\( \operatorname{Let} a_{1}, a_{2}, \dots a_{3 n} \) be an arithmetic
progression with \( a_{1}=3 \) and \( a_{2}=7 . \) If
\( a_{1}+a_{2}+\ldots+a_{3 n}=1830 \) then what is
the smallest positive integer \( m \) such
that \( \boldsymbol{m}\left(\boldsymbol{a}_{1}+\boldsymbol{a}_{2}+\ldots+\boldsymbol{a}_{n}\right)>\mathbf{1 8 3 0} ? \)
Subject: Maths
The Discriminant value of equation \( \mathbf{5} \boldsymbol{x}^{2}-\mathbf{6} \boldsymbol{x}+\mathbf{1}=\mathbf{0} \) is
A . 16
B. \( \sqrt{56} \)
\( c \cdot 4 \)
D. 56
Subject: Physics
The wavelength of maximum energy released during an atomic explosion was \( 2.93 \times 10^{-10} \) m. The maximum
temperature attained must be:
(Weins constant \( \left.=2.93 \times 10^{-3} m K\right) \)
\( \mathbf{A} \cdot 5.86 \times 10^{7} K \)
B \( \cdot 10^{-13} \) K
c. \( 10^{-7} K \)
\( \mathbf{D} \cdot 10^{7} K \)