AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
A metal 'X' is found in form of filing which burns vigorously when sprinkled on flame when these filings are heated
with sulphur, a black coloured compound 'Y' is formed which is not
attracted by magnet 'X' reacts with di HCl to hydrogen gas 'X' reacts with steam to form 'Z' along with hydrogen
gas. Identify 'X', 'Y' and 'Z' and write the
chemical reactions involved?
Subject: Maths
If \( \boldsymbol{a}=\sin \boldsymbol{\theta}, \boldsymbol{b}=\sin (\boldsymbol{\theta}+\boldsymbol{2} \boldsymbol{\pi} / \mathbf{3}), \boldsymbol{c}= \)
\( \sin (\theta+4 \pi / 3), x=\cos \theta, y= \)
\( \cos (\theta+2 \pi / 3), z=\cos (\theta+4 \pi / 3) \)
then value of
\( \boldsymbol{\Delta}=\left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{b} \boldsymbol{c} & \boldsymbol{c} \boldsymbol{a} & \boldsymbol{a} \boldsymbol{b}\end{array}\right| \)
is
A . 1 \( \overline{8} \)
B. \( \frac{3 \sqrt{3}}{4} \)
\( c \cdot \frac{3 \sqrt{3}}{8} \)
D. \( \frac{\sqrt{3}}{4} \)
Subject: Physics
Calculate the mass of ice needed to cool
\( 150 g \) of water contained in a
calorimeter of mass \( 50 \mathrm{g} \) at \( 32^{\circ} \mathrm{C} \) such
that the final temperature is \( 5^{\circ} \mathrm{C} \) Specific heat capacity of calorimeter \( = \)
\( \mathbf{0 . 4} \boldsymbol{J} / \boldsymbol{g}^{\boldsymbol{o}} \boldsymbol{C} \)
Specific heat capacity of water=
\( 4.2 J / g^{o} C \)
Latent heat capacity of ice \( =\mathbf{3 3 0} \boldsymbol{J} / \boldsymbol{g} \)
Subject: Physics
Assertion
In order to reduce sliding friction, lubricants are used.
Reason Lubrication changes the conditions of rubbing, replacing the sliding friction by rolling friction, there by reducing the force of friction.
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
In Thomson mass spectrograph \( \mathrm{E} \perp \overrightarrow{\mathrm{B}} \)
then the
velocity of undeflected electron beam
will be :-
A \( \cdot \frac{|\vec{E}|}{|\vec{B}|} \)
B. \( \overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}} \)
\( ^{\mathbf{C}} \cdot \frac{|\vec{B}|}{|\vec{E}|} \)
D. \( \frac{E^{2}}{B^{2}} \)
Subject: Physics
If \( a S H M \) is given by \( y=(\sin \omega t+ \)
\( \cos \omega t) m, \) Which of the following
statements are true?
A. The amplitude is \( 1 m \)
B. The amplitude is \( (\sqrt{2}) m \)
c. Time is considered from \( y=1 m \)
D. Time is considered from \( y=0 m \)
Subject: Maths
Evaluate \( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\boldsymbol{x}-\mathbf{2})^{7 / 8}(\boldsymbol{x}+\mathbf{3})^{9 / 8}} \)
A \( \cdot \underline{8}\left(\frac{x-2}{x+3}\right)^{1 / 8}+c \)
в. \( \frac{8}{3}\left(\frac{x-2}{x+3}\right)^{1 / 8}+c \)
c. \( \frac{8}{5}\left(\frac{x+2}{x+3}\right)^{1 / 8}+c \)
D. \( \frac{3}{8}\left(\frac{x+2}{x+3}\right)^{1 / 8}+c \)
Subject: Chemistry
For hypothetical reaction \( \boldsymbol{A} \rightarrow \boldsymbol{B} \) takes
place according to:
\( \boldsymbol{A} \stackrel{\boldsymbol{k}_{1}}{\rightleftharpoons} \boldsymbol{C}(\text { fast }), \boldsymbol{A}+\boldsymbol{C} \stackrel{\boldsymbol{k}_{2}}{\longrightarrow} \boldsymbol{B}(\text { slow }) \)
Rate law will be:
\( \mathbf{A} \cdot k_{2}[A][C] \)
В . \( k_{1} k_{2}[A] \)
\( \mathbf{c} \cdot k_{1} k_{2}[A]^{2} \)
\( \mathbf{D} \cdot k_{1} k_{2}[A][C] \)
Subject: Chemistry
\( 0.25 \mathrm{M} \) solution of pyridine chloride
\( C_{5} H_{6} N^{+} C l^{-} \) was found to have a pH of
2.699. What is \( \boldsymbol{K}_{\boldsymbol{b}} \) for pyridine, \( \boldsymbol{C}_{\boldsymbol{5}} \boldsymbol{H}_{\boldsymbol{5}} \boldsymbol{N} \) ?
\( (\log 2=0.3010) \)
Subject: Maths
A coin is tossed three times. Consider
the following events:
A: No head appears
B: Exactly one head appears
C: At least two heads appear Which one of the following is correct?
A \( .(A \cup B) \cap(A \cup C)=B \cup C \)
B . \( \left(A \cap B^{\prime}\right) \cup\left(A \cap C^{\prime}\right)=B^{\prime} \cup C^{\prime} \)
C \( . A \cap B\left(B^{\prime} \cup C^{\prime}\right)=A \cup B \cup C \)
D. \( A \cap\left(B^{\prime} \cup C^{\prime}\right)=B^{\prime} \cap C^{\prime} \)
Subject: Maths
General second degree equation in \( x \) and \( y \) is \( a x^{2}+2 h x y+b y^{2}+2 g x+ \)
\( 2 f y+c=0, \) Where \( a, h, b, g, f \) and \( c \) are
constats.

Prove that condition for it to be a circle
is: \( a=b \) and \( h=0 \)
Subject: Physics
Assertion
The force of repulsion between atomic
nucleus and \( \alpha \) -particle varies with distance according to inverse square law.
Reason
Rutherford did \( \alpha \) -particle scattering
experiment.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Maths
The value of \( \sin \left(2 \sin ^{-1} 0.8\right) \) is equal to.
\( \mathbf{A} \cdot \sin ^{-1} 1.2 \)
B. \( \sin ^{-1}(0.96) \)
c. \( \sin ^{-1}(0.48) \)
D. sin \( 1.6^{\circ} \)
Subject: Maths
Solve the linear equation:
\( \mathbf{1 5}(\boldsymbol{y}-\mathbf{4})-\mathbf{2}(\boldsymbol{y}-\mathbf{9})+\mathbf{5}(\boldsymbol{y}+\mathbf{6})=\mathbf{0} \)
A \( y=\frac{1}{7} \)
B. \( y=\frac{3}{5} \)
c. \( y=\frac{5}{2} \)
D. \( y=\frac{2}{3} \)
Subject: Physics
A sphere of mass \( \mathrm{m}, \) moving with a speed \( v, \) strikes a wall elastically at an angle of incidence \( \theta \). If the speed of the sphere before and after collision is the same and the angle of incidence and
velocity normally towards the wall the angle of rebound is equal to the angle of incidence and velocity normally towards the wall is taken as negative then, the change in the momentum parallel to wall is :
A. mv \( \cos \theta \)
B. 2 mv \( \cos \theta \)
c. - 2 mv \( \cos \theta \)
D. zero
Subject: Physics
Taking the gravitational potential at a
point infinte distance away as zero, the gravitational potential at a point \( \boldsymbol{A} \) is
-5 unit. If the gravitational potential at a point infinite distance away is taken as +10 units, the potential at a point \( A \)
is
A. - 5 unit
B . +5 unit
c. +10 unit
D. +15 unit
Subject: Physics
The position of a particle varies
according to expression \( \boldsymbol{x}= \)
\( \boldsymbol{t}(\boldsymbol{t}-\mathbf{1})(\boldsymbol{t}-\mathbf{2}), \) velocity of the particle
is zero at times.
A \( \cdot\left(1-\frac{1}{\sqrt{3}}\right), 0 \)
в. \( \left(1+\frac{1}{\sqrt{3}}\right) \)
\( c \cdot 0,1 \)
D \( \cdot\left(1-\frac{1}{\sqrt{3}}\right),\left(1+\frac{1}{\sqrt{3}}\right) \)
Subject: Physics
Pick correct statements from among
the following:
a) Electric field and magnetic field are basically independent
b) Electric field and magnetic field are to aspects of the electromagnetic field
c) Electric field and magnetic field may be produced by charge at rest
d) A moving charge produces both electric and magnetic fields
A. a and b are correct
B. b and d are correct
\( c . \) b, cand d are correct
D. a, cand dare correct
Subject: Physics
The relation between frequency \( (n) \) and
wavelength \( (\lambda) \) of a sound wave is given
by
\( (v \text { is velocity, } n \text { is frequency and } T \) is time-period)
A \( . v=n \lambda \)
В. \( n=-v \lambda \)
c. \( v=\frac{n}{2 \lambda} \)
D. \( n=\frac{T}{\lambda} \)
Subject: Maths
If \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right] \) is a \( \mathbf{4} \times \mathbf{4} \) matrix and \( \boldsymbol{c}_{i j} \) is
the co-factor of the element \( \boldsymbol{a}_{\boldsymbol{i} j} \) in \( |\boldsymbol{A}| \)
then the expression \( a_{11} c_{11}+a_{12} c_{12}+ \)
\( \boldsymbol{a}_{13} \boldsymbol{c}_{13}+\boldsymbol{a}_{14} \boldsymbol{c}_{14} \) equals
\( \mathbf{A} \cdot \mathbf{0} \)
B. -
c. 1
D. \( |A| \)
Subject: Physics
In a series combination of \( \mathrm{R}, \mathrm{L} \) and \( \mathrm{C} \) to an
AC source at resonance, if \( \mathrm{R}=20 \Omega \), then impedance \( Z \) of the combination is
A . \( 20 \Omega \)
B. zero \( \Omega \)
\( c \cdot 1 \Omega \)
D. 400 \( \Omega \)
Subject: Physics
A particle has initial velocity \( (2 \vec{i}+3 \vec{j}) \) and acceleration \( (\mathbf{0 . 3} \overrightarrow{\mathbf{i}}+\mathbf{0 . 2 j}) \). The magnitude of velocity after 10 seconds will be
A. 5 units
B. 9 units
c. \( 9 \sqrt{2} \) units
D. \( 5 \sqrt{2} \) units
Subject: Maths
Simplify using commutative and associative property:
\( \left[\frac{2}{5}+\frac{5}{7}+\frac{-12}{5}\right] \)
A \( \cdot-2 \frac{5}{7} \)
B. \( \frac{9}{7} \)
c. \( \frac{-7}{9} \)
D. \( \frac{-9}{7} \)
Subject: Maths
What is the general solution of the
differential equation \( e^{x} \tan y d x+ \)
\( \left(1-e^{x}\right) \sec ^{2} y d y=0 ? \)
A・sin \( y=c\left(1-e^{x}\right) \) where \( c \) is the constant of integration
B \cdot \( \cos y=c\left(1-e^{x}\right) \) where \( c \) is the constant of integration
C \( \cdot \cot y=c\left(1-e^{x}\right) \) where \( c \) is the constant of integration
D. None of the above
Subject: Chemistry
Consider the following alkane and answer the following questions.
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H C H}_{2} \boldsymbol{C H}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}(\boldsymbol{C H} \)
(a) Write the complete structural formula of the alkane.
(b) What is its molecular formula?
(c) Write its bond line formula and give
IUPAC name.
(d) How many methyl, methylene and methine groups are present in this alkane?
(e) How many ethyl and isopropyl groups are present in this alkane?
(f) How many carbon atoms are
\( 1^{\circ}, 2^{\circ}, 3^{\circ}, 4^{\circ} ? \)
Subject: Maths
Let 'a' be a positive constant number.
Consider two curves \( C_{1}: y=e^{x}, C_{2} \)
\( y=e^{a-x} . \) Let \( S \) be the area of the part
surrounded by \( C_{1}, C_{2} \) and the \( y \) -axis,
then
A \( \cdot \lim _{a \rightarrow \infty} S=1 \)
B. \( \lim _{a \rightarrow 0} \frac{S}{a^{2}}=\frac{1}{4} \)
C. Range of \( \operatorname{sis}(0, \infty) \)
D. S(a) is neither odd nor even
Subject: Physics
toppr
Q Type your question
This oscillation is finally transmitted to the fluid filled in inner portion of the ear
termed as inner ear, the motion of the
fluid disturbs hair calls within the inner
ear which transmit nerve impulses to the brain with information that a sound
is present. The three bones present in the middle ear are named as hammer, anvil and stirrup. Out of these the stirrup is the smallest one and this only connects the middle ear to inner ear as
shown in the figure below. The area of stirrup and its extent of connection with
the inner ear limits the sensitivity of the human ear. Consider a person's eat whose moving part of the eardrum has
an area of about \( 43 \mathrm{mm}^{2} \) and the area of
stirrup is about \( 3.2 \mathrm{mm}^{2} . \) The mass of
ossicles is negligible. As a result, force exerted by sound wave in air on eardrum and ossicles is same as the
force exerted by ossicles on the inner ear. Consider a sound wave having maximum pressure fluctuation of \( 3 x \)
\( 10^{-2} \) Pa from its normal equilibrium
pressure value which is wqual to \( 10^{5} \) Pa Frequency of sound wave is \( 1200 \mathrm{Hz} \) Data: Velocity of sound wave in air is \( 332 \mathrm{m} / \mathrm{s} \). Velocity of sound wave in fluid (present in inner ear) is \( 1500 \mathrm{m} / \mathrm{s} \). Bulk
modulus of air is \( 1.42 \times 10^{5} \) Pa. Bulk
modulus of fluid is \( 2.18 \times 10^{9} \) Pa.
Find the pressure amplitude of given sound wave in the fluid of inner ear.
A. 0.03 Pa
B. \( 0.04 \mathrm{Pa} \)
c. \( 0.3 \mathrm{Pa} \)
D. \( 0.4 \mathrm{Pa} \)
Subject: Physics
A capacitor of \( 10 \mu F \) is connected to a
\( \mathbf{1 0} \boldsymbol{V} \) cell. The maximum charge on the
capacitor will be:
A. \( 1 \mu C \)
B. \( 10 \mu C \)
c. \( 100 \mu C \)
D. \( 1000 \mu C \)
Subject: Maths
The length of a rectangle is \( \left(\frac{3}{4}\right)^{t h} \) of its breadth. If its perimeter is \( 126 \mathrm{m} \), then its area will be
A . \( 972 m^{2} \)
B. \( 640 m^{2} \)
\( c \cdot 840 m^{2} \)
D. 954 \( m^{2} \)
Subject: Physics
Some equipotential surfaces of the
magnetic scalar potential are shown in
figure. Magnetic field at a point in the
region is:
A \( \cdot 10^{-4} \mathrm{T} \)
B . \( 0.5 \times 10^{-4} \mathrm{T} \)
c. \( 2 \times 10^{-4} \mathrm{T} \)
D. None of these
Subject: Maths
The general solution of the differential equation \( \frac{\boldsymbol{y} \boldsymbol{d} \boldsymbol{x}-\boldsymbol{x} \boldsymbol{d} \boldsymbol{y}}{\boldsymbol{y}}=\mathbf{0} \) is
A \( . x y=C \)
В. \( x=C y^{2} \)
c. \( y=C x \)
D. \( y=C x^{2} \)
Subject: Chemistry
Which of the following substance have abnormally high boiling points and why?
\( \boldsymbol{H}_{2} \boldsymbol{S}, \boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{H} \boldsymbol{F}, \boldsymbol{H} \boldsymbol{I}, \boldsymbol{C} \boldsymbol{H}_{4}, \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H} \)
Subject: Maths
One hundred identical coins, each with
probability \( p \) of showing heads are
tossed once. If \( 0<p<1 \) and the
probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, the value of \( p \) is
A \( \cdot 1 / 2 \)
B. \( 51 / 101 \)
c. \( 49 / 101 \)
D. 3 / 101
Subject: Chemistry
Find the correct statement about the
solubility of a solution?
A. Gases decrease in solubility with an increase in temperature
B. \( N a C l \) is insoluble in water
\( \mathbf{C} \cdot P b l_{2} \) is soluble in water
D. All nitrates are insoluble in water
E. Solubility depends solely upon the amount of solvent used
Subject: Biology
Assertion
Non-sense codon are responsible for termination of peptide chain.
Reason
Non-sense codons are not recognised by
tRNA.
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
Which of the following will not function as a buffer solution?
(i) \( N a C l \) and \( N a O H \)
\( (i i) N a O H \) and \( N H_{4} O H \)
\( (\text {iiii}) \boldsymbol{C H}_{3} \)COONH\( _{4} \) and \( \boldsymbol{H C l} \)
\( (i v) \) Borax and boric acid
A \( \cdot(i),(i i),(i i i) \)
B. \( (i i),(i i i),(i v) \)
C. \( (i),(i i i),(i v) \)
D. \( (i),(i i),(i i i),(i v) \)
Subject: Physics
A lens of focal length \( 20.0 \mathrm{cm} \) and aperture radius \( 2.0 \mathrm{cm} \) is placed at a distance \( 30.0 \mathrm{cm} \) from a point source of light. On the other side a screen is placed at a distance \( 50.0 \mathrm{cm} \) from the lens. The radius of spot of light formed on screen is (neglect spherical abberation through lens)
A. \( 1 / 2 \mathrm{cm} \)
B. \( 1 / 3 \mathrm{cm} \)
\( c \cdot 1 / 5 \mathrm{cm} \)
D. 1.0 \( \mathrm{cm} \)
Subject: Maths
\( \operatorname{If}\left(1+2 x+x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x^{r}, \) then \( a_{r}= \)
A \( \cdot\left(^{n} C_{r}\right)^{2} \)
В. \( ^{n} C_{r} \cdot^{n} C_{r+1} \)
\( c \cdot^{2 n} C_{r} \)
D. \( ^{2 n} C_{r+1} \)
Subject: Physics
The reading of a manometer fitted to a closed tap is \( 3.5 \times 10^{5} N m^{2} . \) If the valve
is opened the reading of the manometer falls to \( 3 \times 10^{5} N m^{2} . \) The velocity of
water is :
A \( \cdot 0.1 m s^{-} \)
B. \( 1 m s^{-1} \)
\( \mathrm{c} \cdot 10 \mathrm{ms}^{-1} \)
D. \( 100 \mathrm{ms}^{-1} \)
Subject: Chemistry
The correct IUPAC name of the
compound \( \left(\boldsymbol{C H}_{3} \boldsymbol{C H}_{2}\right)_{2} \boldsymbol{N C H}_{3} \) is:
A. N - Ethyl-N-methyl ethanamine
B. N, N-Diethylethanamine
c. N-methylethanamine
D. N-ethylethanamine
Subject: Chemistry
One litre of a sample of hard water
contains \( 55.5 \mathrm{mg} \) of \( \mathrm{CaCl}_{2} \) and \( 4.75 \mathrm{mg} \)
of \( M g C l_{2} . \) The total hardness in terms
of ppm of \( C a C O_{3} \) is :
A. 5 ppm
в. \( 10 \mathrm{ppm} \)
c. 20 ppm
D. none of the above
Subject: Maths
In \( \Delta A B C, \angle A=90^{\circ} \) and \( A D \perp B C \)
Then, \( \boldsymbol{A} \boldsymbol{D}^{3}=\boldsymbol{B} \boldsymbol{D} \times \boldsymbol{D} \boldsymbol{C} \)
A. True
B. False
Subject: Physics
A horizontal platform with an object placed on it is executing simple harmonic motion in the vertical
direction. The amplitude of oscillation is \( 3.92 \times 10^{-3} \) m. What should be the
least period of these oscillations, so that the object is not detached from the
platform?
A. 0.145 sec
B. 0.1556 sec
c. \( 0.1256 \mathrm{sec} \)
D. \( 0.1356 \mathrm{sec} \)
Subject: Physics
A parallel plate capacitor consists of two circular plates each of radius \( 12 \mathrm{cm} \)
and separated by \( 5.0 m m . \) The capacitor
is being charged by an external source. The charging current is constant and is
equal to \( 0.15 A \)
The displacement current is:
\( \mathbf{A} \cdot 15 A \)
в. \( 1.5 A \)
c. \( 0.15 A \)
D. \( 0.015 A \)
Subject: Maths
f the percentage production of \( P \) type cars in 2001 was the same as that in
\( 2000, \) then the number of \( P \) type cars
produced in 2001 would have been?
A \( \cdot 1,40,000 \)
В. 1,32,000
\( c \cdot 1,17,000 \)
D . 1,05,000
Subject: Physics
A student focused the image of a
distant object using a device 'X' on a white screen 'S' as shown in the figure. If the distance of the screen from the
device is \( 40 \mathrm{cm}, \) select the correct statement about the device.
A. The device X is a convex lens of focal length 20 cm
B. The device X is a concave mirror of focal length \( 40 \mathrm{cm} \)
c. The device \( x \) is a concave mirror of radius of curvature
\( 40 \mathrm{cm} \)
D. The device X is a convex lens of focal length \( 40 \mathrm{cm} \)
Subject: Physics
A person, exerting a steady force of
\( 200 N, \) pushes a box of mass \( 50 k g \)
across a flat wooden floor. If the box
does not move while he pushes. Find out
the coefficient of kinetic friction
between the box and the floor?
A . 0.2
B. 0.4
c. 0.5
D. 0.6
E . 0.8
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{2} & \mathbf{3} \\ \mathbf{0} & \mathbf{1}\end{array}\right] \boldsymbol{B}=\left[\begin{array}{ll}\mathbf{3} & \mathbf{4} \\ \mathbf{1} & \mathbf{1}\end{array}\right] . \) Prove that
\( (A B)^{\prime}=B^{\prime} A^{\prime} \)
Subject: Physics
A nucleus of element \( X \) is represented \( \operatorname{as}_{26}^{56} X \)
Which is an isotope of element \( X ? \)
\( A \cdot \frac{26}{56} X \)
B \( \cdot \frac{54}{26} X \)
\( \mathbf{c} \cdot \underset{24}{56} X \)
\( \mathrm{D} \cdot_{28}^{54} \mathrm{X} \)
Subject: Chemistry
Statement 1: Crystals of sodium
chloride go into aqueous solution as ions.
Statement 2: The sodium ion has a \( 1+ \)
change and the chloride ion has a \( 1- \)
charge and they are hydrated by the
water molecules.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. Statement 1 is correct but Statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct.
E. Both the Statement 1 and Statement 2 are not correct.
Subject: Physics
A normal eye is not able to see objects
closer than 25 cm because:
A. the focal length of the eye is \( 25 \mathrm{cm} \)
B. the distance of the retina from the eye-lens is \( 25 \mathrm{cm} \)
C. the eye is not able to decrease the distance between the eye-lens and retina beyond a limit
D. the eye is not able to decrease the focal length beyond a limit
Subject: Chemistry
The ppm strength of \( C O_{2}(g) \) volume by
volume \( \left(\mathrm{mL} \text { of } C \mathrm{O}_{2} \text { per } 10^{6} \mathrm{mL} \) of air) is: \right.
A .224
в. 2240
c. 100
D. 1000
Subject: Chemistry
Rewrite the following choosing the correct word from each pair given in
brackets:

The hydrocarbons containing at least
one carbon to carbon
(double/triple) bond are called
(alkenes/alkynes). They have the
general formula \( C_{n} H_{2 n} . \) These were
previously called (olefins/paraffins). When this compound is treated with (bromine/lime) water, decolourisation occurs because
it is
(saturated/unsaturated).
Subject: Chemistry
At \( 298 K, \) the equilibrium constant for the reaction
\( Z n^{2+}+4 N H_{3} \rightleftharpoons\left[Z n\left(N H_{3}\right)_{4}\right]^{2} \) is \( 10^{\circ} \)
If \( \boldsymbol{E}_{\left[Z n\left(N H_{3}\right)^{4}\right]^{2} /\left[Z n, 4 N H_{3}\right]}=-1.03 V \) then
the value of \( E_{Z n / Z n^{2+}}^{o} \) will be:
A. \( -0.7654 V \)
в. \( -1.1 V \)
c. \( +1.1 V \)
D. none of these
Subject: Maths
The coefficient of the middle term in the
binomial expansion in power of \( x \) of
\( (1+\alpha x)^{4} \) and of \( (1-\alpha x)^{6} \) is the same
if \( \alpha \) equals-
A \( \cdot-\frac{5}{3} \)
в. \( \frac{10}{3} \)
\( c \cdot \frac{-3}{10} \)
D.
Subject: Chemistry
\( K_{c} \) for an equilibrium \( S O_{3} \rightleftharpoons \)
\( \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \) is equal to 0.15 at 900
K. The equilibrium constant for the
equation \( 2 S O_{2}+O_{2} \rightleftharpoons 2 S O_{3}(g) \) is
A . 6.66
в. 44.4
c. 2.25
D. 0.44
Subject: Physics
The atomic number \( (A) \) and mass
number \( (M) \) of the nuclide formed
where three alpha \( \alpha \) and two \( \beta \)
particles are emitted from \( 238_{92}^{238} U \)
A. \( A=87, M=233 \)
В. \( A=86, M=226 \)
c. \( A=88, M=227 \)
D. \( A=88, M=226 \)
Subject: Maths
The sum of the series \( 10 .^{n} C_{0}+ \)
\( 10^{2} \cdot^{n} C_{1}+10^{3} \cdot^{n} C_{2}+\ldots 10^{n+1} \cdot^{n} C_{n} \) is
A \( \cdot 11^{n} \)
B . \( 10.11^{n} \)
\( \mathbf{c} \cdot 11^{n+1} \)
D. \( 11^{n}-1 \)
Subject: Maths
\( \int_{0}^{1} \frac{2 \sin ^{-1} \frac{x}{2}}{x} d x \) is equal to
\( ^{\mathrm{A}} \cdot \int_{0}^{\pi / 6} \frac{x}{\tan x} d x \)
в. \( \int_{0}^{\pi / 6} \frac{2 x}{\tan x} d x \)
\( ^{\mathrm{C}} \int_{0}^{\pi / 2} \frac{2 x}{\tan x} d x \)
D. None of these
Subject: Physics
A galvanometer of number of turns 175
having \( 1 \mathrm{cm}^{2} \) area, turns through \( 1^{\circ} \)
when a current of \( 1 m A \) is passed. Find
magnetic field if torsional constant of spring is \( 10^{-6} N-m \)
A \( \cdot 10^{-4} T \)
B. \( 10^{-3} T \)
c. \( 10^{-5} T \)
D. \( 10^{-2} T \)
Subject: Physics
The 35 kilogram girl is standing on a 20 kilogram wagon and jumps off, giving the wagon a kick that sends it off at 3.8
meters per second. How fast is the girl moving?
\( A \cdot 1.2 \mathrm{m} / \mathrm{s} \)
B. 3 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 4 m / s \)
D. 2.2 m/s
Subject: Chemistry
What are the products obtained when excess ammonia is reacted with
chlorine?
A. \( \mathrm{N}_{2} \) and \( \mathrm{NCl}_{3} \)
B. \( \mathrm{N}_{2} \) and \( \mathrm{HCl} \)
c. \( \mathrm{N}_{2} \) and \( \mathrm{NH}_{4} \mathrm{Cl} \)
D. NCls and HCl
Subject: Physics
A spherical surface of radius of curvature R separates air (refractive index 1.0 ) from glass (refractive index
1.5). The center of curvature is in the
glass.A point object P placed in air is found to have a real image \( Q \) in the glass. The line PQ cuts the surface at a
point \( 0, \) and \( P O=O Q . \) The distance PO
is equal to:
\( A .5 R \)
в. зв
c. 2 R
D. 1.5R
Subject: Maths
The graph of \( f(x) \) is shown above in the
\( x y \) -plane. The points \( (0,3),(5 b, b) \) and
\( (10 b,-b) \) are on the line described by
\( f(x) . \) If \( b \) is a positive constant, find the
coordinates of point \( C \)
\( \mathbf{A} \cdot(5,1) \)
B. (10,-1)
c. (15,-0.5)
(15, \( -0.5) \)
D. (20,-2)
Subject: Maths
For \( \Delta A B C \) and \( \Delta D E F, A B= \)
\( \boldsymbol{F} \boldsymbol{E}, \boldsymbol{B} \boldsymbol{C}=\boldsymbol{E} \boldsymbol{D} \) and \( \angle \boldsymbol{B}=\angle \boldsymbol{E} \)
Therefore
A. \( \Delta A B C \cong \Delta D E F \)
B. \( \Delta A B C \cong \Delta E D F \)
c. \( \Delta B C A \cong \Delta D E F \)
D. \( \Delta B C A \cong \Delta E D F \)