AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The order of stability of metal oxides is
\( \mathbf{A} \cdot A l_{2} O_{3}<M g O<F e_{2} O_{3}<C r_{2} O_{3} \)
B. \( C r_{2} O_{3}<M g O<A l_{2} O_{3}<F e_{2} O_{3} \)
\( \mathbf{c} \cdot F e_{2} O_{3}<C r_{2} O_{3}<A l_{2} O_{3}<M g O \)
D. \( F e_{2} O_{3}<A l_{2} O_{3}<C r_{2} O_{3}<M g O \)
Subject: Physics
topp
\( Q \)
the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger nter-atomic forces than in solids such as aluminum. Thus, the elastic behavio
varies from solid to solid. Even fluids
exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The
change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress
shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke's law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of
elasticity. The figure shows the strain-stress graphs for materials A and B. From the graph it follows that:
A. material A has a higher Young's mod
B. material B has a higher Young's modulus than
\( c \)
es
for
Subject: Maths
If \( a>0 \) and \( z=\frac{(1+i)^{2}}{a-i}, \) has magnitude \( \sqrt{\frac{2}{5}}, \) then \( \bar{z} \) is equal to:
A. \( -\frac{3}{5}-\frac{1}{5} i \)
B. \( -\frac{1}{5}+\frac{3}{5} i \)
c. \( -\frac{1}{5}-\frac{3}{5} i \)
D. \( \frac{1}{5}-\frac{3}{5} i \)
Subject: Physics
A metallic ring of radius 'r', cross sectional area 'A' is fitted into a wooden
circular disk of radius 'R' \( (R>r) . \) If the
Young's modulus of the material of the ring is 'Y', the force with which the metal ring expands is :
A. \( \frac{A Y R}{r} \)
в. \( \frac{A Y(R-r)}{r} \)
c. \( \frac{Y(R-r)}{A r} \)
D. \( \frac{Y R}{A r} \)
Subject: Physics
Find the magnitude of the angular
acceleration at the moment \( t=10.0 s \)
A. \( 1.3 \mathrm{rad} / \mathrm{s} \)
B. 3 rad / \( s \)
c. 1 rad \( / s \)
D. \( 0.3 \mathrm{rad} / \mathrm{s} \)
Subject: Physics
a diverging lens of focal length - 10 \( \mathrm{cm} \) is moving towards right with a velocity \( 5 \mathrm{m} / \mathrm{s} \). An object, placed on Principal axis is moving towards left with a velocity \( 3 \mathrm{m} / \mathrm{s} \). The velocity of the image at the instant when the lateral magnification produced is \( 1 / 2 \) is: \( (\mathrm{All} \) velocities are with respect to ground)
A. \( 3 \mathrm{m} / \mathrm{s} \) towards right
B. \( 3 \mathrm{m} / \mathrm{s} \) towards left
c. \( 7 \mathrm{m} / \mathrm{s} \) towards right
D. \( 7 \mathrm{m} / \mathrm{s} \) towards left
Subject: Chemistry
The IUPAC name of the Wilkinson's
catalyst \( \left[R h C l\left(P P h_{3}\right)_{3}\right] \) is :
A. chlorotris (triphenylphosphine) rhodium (I)
B. Chlorotris (triphenylphosphine) rhodium (IV)
c. chlorotris (triphenylphosphine) rhodium (0)
D. chlorotris (triphenylphosphine) rhodium (VI)
Subject: Maths
The roots of the equation \( a x^{2}+b x+ \)
\( c=0 \) will be imaginary if
A. \( a>0, b=0, c<0 \)
В. \( a>0, b=0, c>0 \)
c. \( a=0, b>0, c>0 \)
D. \( a>0, b>0, c=0 \)
Subject: Maths
To construct a triangle similar to a
\( \operatorname{given} A B C \) with its sides \( \frac{7}{3} \) of the corresponding sides of \( \Delta A B C, \) draw a
ray \( B X \) making acute angle with \( B C \)
and \( X \) lies on the opposite side of \( A \)
with respect to \( B C . \) The points
\( B_{1}, B_{2}, \dots, B_{7} \) are located at equal
distances on \( B X, B_{3} \) is joined to \( C \)
A. True
B. False
Subject: Physics
Young modulus of elasticity of brass is \( 10^{11} N / m^{2} . \) The increase in its energy
on pressing a rod of length \( 0.1 m \) and
cross-sectional area \( 1 \mathrm{cm}^{2} \) made of
brass with a force of \( 10 \mathrm{kg} \) along its
length,will be \( x \times 10^{-7} \). Find \( x \)
Subject: Physics
A non-relativistic proton beam passes without deviation through a region of space where there are uniform
transverse mutually perpendicular electric and magnetic fields with \( \boldsymbol{E}= \)
\( 120 k V m^{-1} \) and \( B=50 m T . \) Then the
beam strikes a grounded target. Find the force imparted by the beam on the target if the beam current is equal to
\( \boldsymbol{i}=\mathbf{0 . 8} \boldsymbol{m} \boldsymbol{A} \)
Mass of protons \( =1.67 \times 10^{-27} k g \)
Subject: Physics
Consider a cycle followed by an engine as shown in figure to 2 is isothermal
2 to 3 is adiabatic
3 to 1 is adiabatic
Such a process does not exist because
A. heat is completely converted to mechanical energy in such a process, which is not possible.
B. mechanical energy is completely converted to heat in this process, which is not possible
c. curves representing two adiabatic processes can ef
D. curves representing an adiabatic process and an isothermal process dont intersect
Subject: Chemistry
Which of the following is not a buffer solution?
A. \( C H_{3} C O O H+C H_{3} C O O N a \)
в. \( H_{3} B O_{3}+N a_{3} B O_{3} \)
c. \( H C l O_{4}+N a C l O_{4} \)
D. \( N H_{4} O H+\left(N H_{4}\right)_{2} S O_{4} \)
Subject: Maths
\( \mathrm{X}^{\prime} \) speaks truth in \( 60 \% \& \) 'y' is \( 50 \% \) of the cases. The probability that they contradict each other while narrating
the same incident, is
A \( \cdot \frac{1}{2} \)
в. \( \frac{1}{8} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
Give the decreasing order of reactivity
of the following compounds with HBr.
\( (I) \)
\( (\mathrm{II}) \)
\( (\mathrm{III}) \)
\( (\mathrm{IV}) \)
\( \mathbf{A} \cdot I I I>I V>I I>I \)
В. \( I I I>I I>I V>I \)
c. \( I I I>I I>I>I V \)
D. \( I I>I I I>I V>I \)
Subject: Maths
The value of \( \lim _{x \rightarrow 0} \frac{(1-\cos 2 x) \sin 5 x}{x^{2} \sin 3 x} \) is
A . \( 10 / 3 \)
B. 3/10
c. \( 6 / 5 \)
D. \( 5 / 6 \)
Subject: Chemistry
Chromyl chloride gives yellow ppt. when it reacts with respectively
A \( \cdot C u(O H)_{2}, P b N O_{3} \)
в. \( N a O H,\left(C H_{2} C O O\right)_{2} C a \)
с. \( _{N a O H},\left(C H_{3} C O O O\right)_{2} P b \)
D. КОН \( , \)Рь SО О\( _{4} \)
Subject: Chemistry
Assertion: When a solution of
\( C H_{3} C O O H \) in water is shaken with
charcoal, the pH of the solution will get decreased.
Reason: The degree of ionisation of
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \) increases.
Read the above assertion and reason
and choose the correct option regarding
¡t.
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
E. Both Assertion and Reason are incorrect
Subject: Maths
Divide \( :\left(51 m^{3} p^{2}-34 m^{2} p^{3}\right) \) by \( 17 m p \)
\( \mathbf{A} \cdot m^{2} p \)
В \( \cdot m p^{2} \)
c. \( 3 m^{2} p-2 m p^{2} \)
D. \( m \)
Subject: Maths
Evaluate \( \int_{-\sqrt{2}}^{2 \pi} \frac{2 x^{7}+3 x^{6}-10 x^{5}-7 x^{3}-12 x^{2}+}{x^{2}+2} \)
\( ^{\mathrm{A}} \cdot \frac{\pi}{2 \sqrt{2}}+\frac{16 \sqrt{2}}{5} \)
B. \( \frac{\pi}{4 \sqrt{2}}-\frac{8 \sqrt{2}}{5} \)
c. \( \frac{\pi}{4 \sqrt{2}}+\frac{8 \sqrt{2}}{5} \)
D. \( \frac{\pi}{2 \sqrt{2}}-\frac{16 \sqrt{2}}{5} \)
Subject: Physics
State the advantages and
disadvantages of a moving coil galvanometer. A moving coil galvanometer (M.C.G.) has
10 turns each of length \( 12 \mathrm{cm} \) and
breadth \( 8 \mathrm{cm} . \) The coil of M.C.G. carries a
current of \( 125 \mu A \) and is kept
perpendicular to the uniform magnetic field of induction \( 10^{-2} \) T. The twist
constant of phosphor bronze fibre is \( 12 \times 10^{-9} \mathrm{Nm} / \) degree. Calculate the
deflection produced.
Subject: Physics
A \( 10 m \) long horizontal wire extends
from North East to South West. It is
falling with a speed of \( 5.0 m s^{-1}, \) at right angles to the horizontal component of the earth's magnetic field, of \( 0.3 x \) \( 10^{-4} W b / m^{2} . \) The value of the induced
emf in wire is:
A \( \cdot 2.5 \times 10^{-3} V \)
В. \( 1.1 \times 10^{-3} V \)
c. \( 0.3 \times 10^{-3} V \)
D. \( 1.5 \times 10^{-3} V \)
Subject: Chemistry
A weak electrolyte having the limiting equivalent conductance of \( 400 S \mathrm{cm}^{2} g \)
equiv \( ^{-1} \) at \( 298 K \) is \( 2 \% \) ionized in its \( 0.1 N \) solution. The resistance of this
solution (in ohm) in an electrolytic cell of cell constant \( 0.4 \mathrm{cm}^{-1} \) at this
temperature is:
A . 200
в. 300
c. 400
D. 500
E. 600
Subject: Physics
One \( k g \) of diatomic gas is at a pressure
of \( 8 \times 10^{4} N / m^{2} . \) The density of the gas
is \( 4 k g / m^{3} . \) What is the energy of the gas due to its thermal motion?
A \( .5 \times 10^{4} J \)
B . \( 6 \times 10^{4} J \)
c. \( 7 \times 10^{4} J \)
D. \( 3 \times 10^{4} J \)
Subject: Physics
The electrical resistance in ohms of a
certain thermometer varies with
temperature according to the
approximate law: \( \boldsymbol{R}=\boldsymbol{R}_{0}[\mathbf{1}+\mathbf{5} \times \)
\( \left.10^{-3}\left(T-T_{0}\right)\right] . \) The resistances is
\( 101.6 \Omega \) at the triple-point of water \( 273.16 \mathrm{K}, \) and \( 165.5 \Omega \) at the normal
melting point of lead \( (600.5 K) \). the temperature when the resistance is
\( 123.4 \Omega \) is \( (360+x)^{o} c \) then the value of \( x \)
is
Subject: Chemistry
\( \mathbf{H}_{2} \mathrm{O}_{2} \) is sold as a solution of
approximately \( 5.0 \mathrm{g} \mathrm{H}_{2} \mathrm{O}_{2} \) per \( 100 \mathrm{ml} \) of the solution the molecular mass of
\( \mathbf{H}_{2} \mathbf{O}_{2} \) is \( \mathbf{3 4} . \) The molarity of this solution is approximately:
A . \( 1.15 \mathrm{M} \)
в. 1.5 М.
c . \( 3.0 \mathrm{M} \)
D. 3.4M
Subject: Maths
Consider the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\[
\begin{array}{cl}
\sqrt{\boldsymbol{x}} \ln \boldsymbol{x} \text { when } & \boldsymbol{x}>\mathbf{0} \\
\mathbf{0} \text { for } & \boldsymbol{x}=\mathbf{0}
\end{array}
\]
Let the inflection points of the graph of
\[
\boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \text { be } \boldsymbol{x}=\boldsymbol{k} \text { .Find } \boldsymbol{k} ?
\]
Subject: Physics
The adjoining figure shows an \( \boldsymbol{A C} \)
circuit with resistance \( \boldsymbol{R} \), inductance \( \boldsymbol{L} \)
and source voltage \( V_{s} . \) Then
A. the source voltage \( V_{s}=72.8 \mathrm{V} \)
B. the phase angle between current and source voltage is \( \tan ^{-1}(7 / 2) \)
c. Both \( (a) \) and
( \( b \) ) are correct.
D. Both \( (a) \) and
\( (b) \) are wrong.
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{2} & \mathbf{0} & \mathbf{7} \\ \mathbf{0} & \mathbf{1} & \mathbf{0} \\ \mathbf{1} & \mathbf{- 2} & \mathbf{1}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}-\boldsymbol{x} & \mathbf{1 4 x} & \mathbf{7 x} \\ \mathbf{0} & \mathbf{1} & \mathbf{0} \\ \boldsymbol{x} & \mathbf{- 4 x} & \mathbf{- 2 x}\end{array}\right] \) are two matrices
such that \( A B=(A B)^{-1} \) and \( A B \neq I \)
(where \( I \) is an identity matrix of order
\( 3 \times 3) \)
Find the value of
\( \boldsymbol{T} \boldsymbol{r} \cdot\left(\boldsymbol{A} \boldsymbol{B}+(\boldsymbol{A} \boldsymbol{B})^{2}+(\boldsymbol{A} \boldsymbol{B})^{3}+\ldots+(\boldsymbol{A} \boldsymbol{B}\right. \)
where \( T r .(A) \) denotes the trace of
matrix \( \boldsymbol{A} \)
A. 98
в. 99
\( c \cdot 100 \)
D. 10
Subject: Physics
A cart of mass \( 20 \mathrm{kg} \) at rest is to be
dragged at a speed of \( 18 \mathrm{km} \mathrm{h}^{-1} \). If the co-efficient of friction between the cart
and the ground is \( 0.1, \) what is the minimum force required to drag the cart to a distance of \( 10 \mathrm{m} \) ? (Take \( g= \)
\( \left.10 m s^{-2}\right) \)
Subject: Chemistry
\( \boldsymbol{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{O}-\boldsymbol{C}_{7} \boldsymbol{H}_{15}(\boldsymbol{n}) \) IUPAC name of
the compound is :
A. 1-Phenoxyheptane
B. 1-Heptoxybenzene
c. Both (a) and (b)
D. None of these
Subject: Physics
The cell has an emf of \( 2 V \) and the
internal resistance of this cell is \( 0.1 \Omega \), i is connected to a resistance of \( 3.9 \Omega \), the
voltage across the cell will be
\( \mathbf{A} \cdot 0.5 V \)
в. \( 1.9 V \)
c. \( 1.95 V \)
D. \( 72 ~ V \)
Subject: Biology
Assertion
Diabetes insipidus is marked by excessive urination and too much thirst
of water
Reason
Anti-diuretic hormone (ADH) is
secreted by the posterior lobe of pituitary gland.
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
Assertion
Cathode rays are deflected towards positive plate in an electric field.
Reason
These consist of negatively charged
particles.
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: Physics
Match the following:
\( \begin{array}{lll}\text { S.No } & \text { Scientists } & \text { Inventions } \\ 1 & \text { Michael Faraday } & \text { First battery } \\ 2 . & \text { George Simon Ohm } & \text { Radioactivity } \\ 3 . & \text { Volta } & \text { Dynamo } \\ 4 . & \text { Henry Becquerel } & \text { Ohm's law }\end{array} \)
Subject: Physics
A straight rod of length \( L \) extends frfom
\( \boldsymbol{x}=\boldsymbol{a} \) to \( \boldsymbol{x}=\boldsymbol{L}+\boldsymbol{a} . \) Find the
gravitational force it exerts on a point mass \( m \) at \( x=0 \) is(if the linear density
of \( \left.\operatorname{rod} \mu=A+B x^{2}\right) \)
\( ^{\mathbf{A}} \cdot G m\left[\frac{A}{a}+B L\right] \)
\( ^{\mathrm{B}} \mathrm{Gm}\left[A\left(\frac{1}{a}-\frac{1}{a+L}\right)+B L\right] \)
\( ^{\mathrm{c}} \cdot_{G m}\left[B L+\frac{A}{a+L}\right] \)
D. \( _{G m}\left[B L-\frac{A}{a}\right] \)
Subject: Physics
Light of wavelength \( \lambda_{0} \) in air enters a
medium of refractive index \( n . \) If two
points \( A \) and \( B \) in this medium lid
along the path of this light at a distance
\( x, \) then phase difference \( \phi_{0} \) between
these two points is
\( ^{\mathbf{A}} \cdot_{0}=\frac{1}{n}\left(\frac{2 \pi}{\lambda_{0}}\right) x \)
B \( \cdot_{\phi_{0}}=n\left(\frac{2 \pi}{\lambda_{0}}\right) x \)
\( ^{\mathbf{c}} \cdot_{\phi_{0}}=(n-1)\left(\frac{2 \pi}{\lambda_{0}}\right) x \)
D \( , \quad \phi_{0}=\frac{1}{(n-1)}\left(\frac{2 \pi}{\lambda_{0}}\right) x \)
Subject: Maths
The relation \( R \) define on the set of
natural numbers as \( \{(a, b): a \) differs
from b by \( 3\} \) is given.
A \( \cdot\{(1,4),(2,5),(3,6), \ldots \ldots . .\} \)
в. \( \{(4,1),(5,2),(6,3), \ldots \ldots .\} \)
c. \( \{(1,3),(2,6),(3,9), \ldots \ldots .\} \)
D. None of above
Subject: Physics
If the surface tension of water is \( \mathbf{0 . 0 6} N / \boldsymbol{m}, \) then the capillary rise in a
tube of a diameter 1 m \( m \) is \( :\left(\theta=0^{\circ}\right) \)
A . \( 1.22 \mathrm{cm} \)
B. 2.44 ст
\( c .3 .12 c m \)
D. \( 3.86 \mathrm{cm} \)
Subject: Chemistry
Match list land list II.
List I
A. \( \boldsymbol{N} \boldsymbol{F}_{3} \)
1. No hydrolysis
B. \( \boldsymbol{P F}_{3} \)
2. Hydrolysed by hydrogen bonding
c. \( \boldsymbol{N} \boldsymbol{C l}_{3} \)
3. Hydrolysed by
nucleophilic attack
D. \( \boldsymbol{A} \boldsymbol{s} \boldsymbol{C l}_{3} \)
4. Lewis base
5. Lewis acid
B. A - 1; B - 1,4; C - 2,5; D - 3
c. \( A-2,4 ; B-1,5 ; C-2 ; D-4 \)
D. \( A-4 ; B-3 ; C-1,2 ; D-5 \)
Subject: Maths
If \( \boldsymbol{x} \cos \boldsymbol{\alpha}+\boldsymbol{y} \sin \boldsymbol{\alpha}=\boldsymbol{x} \cos \boldsymbol{\beta}+ \)
\( \boldsymbol{y} \sin \beta=2 a(0<\alpha, \beta \pi / 2), \) then
This question has multiple correct options
A \( \cdot \cos \alpha+\cos \beta=\frac{4 a x}{x^{2}+y^{2}} \)
B. \( \cos \alpha \cos \beta=\frac{4 a^{2}-y^{2}}{x^{2}+y^{2}} \)
c. \( \sin \alpha+\sin \beta=\frac{4 a y}{x^{2}+y^{2}} \)
D \( \sin \alpha \sin \beta=\frac{4 a^{2}-x^{2}}{x^{2}+y^{2}} \)
Subject: Chemistry
Which of the following electron transitions in hydrogen atom will require largest amount of energy?
A. From \( n=1 \) to \( n=2 \)
B. From \( n=2 \) to \( n=3 \)
c. From \( n=\infty \) to \( n=1 \)
D. From \( n=3 \) to \( n=5 \)
Subject: Biology
Match the following columns.
\( \begin{array}{ll}\text { Column I } & \text { Column II } \\ \text { A. Opuntia } & \text { 1. Stem thorns } \\ \text { B. Asparagus } & \text { 2. Phylloclades } \\ \text { C. Citrus } & \text { 3. Cladodes }\end{array} \)
\( A \cdot A-1, B-2, C-3 \)
B. A- 2, B-3, C-1
C. \( A-3, B-2, C-1 \)
D. A- 2, B-1, C-3
Subject: Physics
The center of an equilateral triangle is
0. Three forces \( F_{1}, F_{2} \) and \( F_{3} \) are applied along \( A B, B C \) and \( A C \) respectively. The
magnitude of \( F_{3} \) so that the total torque
about 0 should be zero is:
A \( \cdot\left(F_{1}+F_{2}\right) \)
в. \( \left(F_{1}-F_{2}\right) \)
c. \( \frac{F_{1}+F_{2}}{2} \)
D. \( 2\left(F_{1}+F_{2}\right) \)
Subject: Physics
An inventor claims to have developed an
engine that takes in \( 1000 J \) of heat and
produces \( 1500 J \) of work during each
cycle. Comment on the validity of this
claim.
A. The proposed engine claims to produce more work in a cyclic process than the amount of heat that is supplied, so it is in violation of the first law of thermodynamics.
B. The statement is completely valid as it increases the efficiency by increasing the work output.
C. The proposed engine claims to produce more work in a cyclic process than the amount of heat that is supplied, so it is in violation of the zeroth law of thermodynamics.
D. None of these
Subject: Physics
A body is projected from the ground with a velocity \( v=(3 \hat{i}+10 \hat{j}) m s^{-1} \) The
maximum height attained and the range of the body respectively are (given \( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \mathbf{)} \)
A. \( 5 \mathrm{m} \) and \( 6 \mathrm{m} \)
B. 3 m and 10 \( \mathrm{m} \)
\( c .6 \mathrm{m} \) and \( 5 \mathrm{m} \)
D. 3 m and 5 m
Subject: Maths
Solve \( \boldsymbol{I}=\int \frac{1}{\cos ^{2} x(1-\tan x)^{2}} d x \)
A \( \cdot_{I}=\frac{-1}{1-\cot x}+C \)
B. \( I=\frac{1}{1-\tan x}+C \)
\( ^{c} I=\frac{-1}{1-\tan x}+C \)
D. None of these
Subject: Physics
If magnetic flux through area \( 20 m^{2} \) at
point \( P \) in magnetic field is 50 Weber
then magnetic induction at point \( \boldsymbol{P} \) is :
A . \( 5 T \)
в. \( 200 T \)
c. \( 1000 T \)
D. \( 2.5 T \)
Subject: Chemistry
A compound with molecular formula
\( C_{8} H_{18} O_{4} \) does not give litmus test and
does not give colour with \( 2,4- \) DNP. It
reacts with excess \( M e C \) OCl to give a compound whose vapour density is 152 Compound \( A \) contains how many
hydroxy groups?
A . 1
B. 2
\( c .3 \)
D. 4
Subject: Chemistry
Assertion
Oxidation of glucose by \( B r_{2} \) water gives
saccharic acid.
Reason
Bra water oxidized -CHO and alcohol.
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
Write the formulae of the compounds
with given oxidation number of the
given elements
\( \begin{array}{lllll} & \text { Element } & \text { O.N } & \text { Compounds } \\ \text { (a) } & \text { 0 } & \text { +2 } & \text { OF }_{2} \\ \text { (b) } & \text { 0 } & -1 & H_{2} O_{2} \\ \text { (c) } & \text { 0 } & -0.5 & K O_{2} \\ \text { (d) } & \text { S } & -2 & H_{2} S \\ \text { (f) } & \text { S } & +6 & S O_{3}\end{array} \)
\( A \cdot(a) \&(c) \) are incorrect
\( B \cdot(b) \&(f) \) are incorrect
\( c \cdot(d) \&(e) \) are incorrect
of these
Subject: Maths
Find the mean deviation from the mean
of the following data, using step deviation method.
\( \begin{array}{lllll}\text { Marks } & \begin{array}{l}0- \\ 10\end{array} & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}\text { 20- } \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 40\end{array}\end{array} \)
No. of
students 5
Subject: Maths
Solve the following pair of equations by reducing them to a pair of linear equations:6 \( x+3 y=6 x y, 2 x+4 y= \)
\( 5 x y \)
A. \( x=1, y=1 \)
в. \( x=1, y=2 \)
c. \( x=0, y=1 \)
D. None of these
Subject: Maths
Let \( X \) and \( Y \) be two random variables.
The relationship \( \boldsymbol{E}(\boldsymbol{X} \boldsymbol{Y})=\boldsymbol{E}(\boldsymbol{X}) \)
\( \boldsymbol{E}(\boldsymbol{Y}) \) holds
A . Always
B. If \( E(X+Y)=E(X)+E(Y) \) is true
c. If \( X \) and \( Y \) are independent
D. If \( X \) can be obtained from \( Y \) by a linear transformation
Subject: Physics
In a YDSE with identical slits, the
intensity of the central bright fringe is
\( I_{0} . \) If one of the slits is covered, the intensity at the same point is
A \( \cdot 2 I_{0} \)
в. \( I_{0} \)
\( c \cdot I_{0} / 2 \)
D. \( I_{0} / 4 \)
Subject: Maths
If the length of the tangent at any point on the curve \( y=f(x) \) intercepted
between the point of contact and \( x \) -axis
is of length \( 1, \) the equation of the curve
¡s:
This question has multiple correct options
\( \mathbf{A} \cdot \sqrt{1-y^{2}}+\ln |(1-\sqrt{1-y^{2}}) / y|=\pm x+c \)
B \( \cdot \sqrt{1-y^{2}}-\ln |(1-\sqrt{1-y^{2}}) / y|=\pm x+c \)
\( \mathbf{c} \cdot \sqrt{1-y^{2}}+\ln |(1+\sqrt{1-y^{2}}) / y|=\pm x+c \)
D. None of these
Subject: Physics
In a metre bridge experiment, null point
is obtained at \( 20 \mathrm{cm} \) from one end of the
wire when resistance \( X \) is balanced
against another resistance \( \boldsymbol{Y} \). If \( \boldsymbol{X}<\boldsymbol{Y} \)
then the new position of the null point from the same end, if one decides to
balance a resistance of \( 4 X \) against \( Y \)
will be at:
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
в. \( 80 \mathrm{cm} \)
\( \mathbf{c} .40 \mathrm{cm} \)
D. \( 70 \mathrm{cm} \)
Subject: Maths
Which pair of numbers are rationalising
factors to one another
This question has multiple correct options
\( A \cdot 2 \sqrt{3} \) and \( \sqrt{3} \)
B \( \cdot 3^{1 / 3}-3^{-1 / 3} \) and \( 3^{2 / 3}+1+3^{-2 / 3} \)
\( x^{1 / x}-x^{-1 / n} \) and \( \left(\frac{n-1}{n}-x \frac{n-2}{n}+\ldots \ldots . . x^{-}\left(\frac{n-1}{n}\right)\right) \)
\( \sqrt[3]{5}+\frac{1}{\sqrt[3]{5}} \) and \( \sqrt[3]{5^{2}}+1-\frac{1}{\sqrt[3]{5^{2}}} \)
Subject: Maths
Solve the equation using formula. \( 2 x^{2}+\frac{x-1}{5}=0 \)
A \( \cdot x=\frac{-1 \pm \sqrt{10}}{4} \)
B. \( x=\frac{-1 \pm \sqrt{41}}{20} \)
c. \( x=\frac{1 \pm \sqrt{41}}{20} \)
D. \( _{x}=\frac{1 \pm \sqrt{10}}{4} \)
Subject: Maths
If \( P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right], A=\left[\begin{array}{cc}1 & 1 \\ 0 & 1\end{array}\right] \) and
\( Q=P A P^{\prime}, \) then \( P^{\prime} Q^{2015} P \) is:
A. \( A=\left[\begin{array}{cc}0 & 2015 \\ 0 & 0\end{array}\right] \)
B. \( A=\left[\begin{array}{cc}2015 & 0 \\ 1 & 2015\end{array}\right] \)
c. \( A=\left[\begin{array}{cc}1 & 2015 \\ 0 & 1\end{array}\right] \)
D. \( A=\left[\begin{array}{cc}2015 & 1 \\ 0 & 2015\end{array}\right] \)
Subject: Maths
An ordinary die has four blank faces.
One face marked \( 2, \) an other marked 3
Then the probability of obtaining a total of exactly 12 in 5 throws is
A \( \cdot \frac{15}{6^{4}} \)
в. \( \frac{10}{6^{4}} \)
c. \( \frac{5}{6^{4}} \)
D. \( \frac{6}{6^{4}} \)
Subject: Maths
If function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}^{3}-\boldsymbol{a}^{3}}{\boldsymbol{x}-\boldsymbol{a}}, \) is
continuous at \( x=a \) then the value of
\( f(a) \) is
\( \mathbf{A} \cdot 2 a \)
В \( .2 a^{2} \)
\( c \cdot 3 a \)
D. \( 3 a^{2} \)