AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Identify the compounds from the following which form primary amines under suitable reduction conditions.
1. \( \boldsymbol{C}_{2} \boldsymbol{H}_{\mathbf{5}} \boldsymbol{N} \boldsymbol{C} \)
2. \( C_{2} H_{6} \)
3. \( C_{2} H_{5} C O N H_{2} \)
4. \( C_{6} H_{5} N O_{2} \)
A \( \cdot 1,4 \)
в. 3,4
c. 1,3,4
D. 2,3,4
Subject: Physics
A man swims across a river with speed
of \( 5 k m h^{-1} \) (in still water), while a boat
goes upstream with speed \( 12 k m h^{-1} \) (in still water). How fast and in which
direction does the man appear to go to
the boatman? Given that the speed of flowing water is \( 2 k m h^{-1} \)
Subject: Chemistry
In a flask colourless \( N_{2} O_{4} \) is in
equilibrium with brown coloured \( N O_{2} \) At equilibrium, when the flask is heated
to \( 100^{\circ} C \) the brown colour deepens and
on cooling, the brown colour became
less coloured. The change in enthalpy
\( \Delta H \) of the system is:
A. negative
B. positive
c. zero
D. not defined
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\cos ^{-1}\left(4 \boldsymbol{x}^{3}-\mathbf{3} \boldsymbol{x}\right)\right),=\therefore \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
\( \frac{\boldsymbol{m}}{\sqrt{\mathbf{1}-\boldsymbol{x}^{k}}} . \) Find \( \boldsymbol{k}-\boldsymbol{m} \) ?
Subject: Chemistry
The catenation tendency of \( C, \) Si and
Ge is in the order \( G e<S i<C \). The
bond energies \( \left(\text { in } k J m o l^{-1}\right) \) of \( C- \)
\( C, S i-S i \) and \( G e-G e \) bonds
respectively are:
A. 348,167,180
B. 348,180,167
c. 167,180,348
D. 180,167,348
Subject: Physics
The focal length of a lens of glass \( \left(_{a} \mu_{g}=\frac{3}{2}\right) \) air is \( 10 \mathrm{cm} . \) The focal length
of the lens when it is immersed in water \( \left(_{a} \mu_{w}=\frac{4}{3}\right) \) will be
A. \( 40 \mathrm{cm} \)
B. 50 \( \mathrm{cm} \)
\( c \cdot 60 \mathrm{cm} \)
D. 80 cm
Subject: Maths
The value \( (s) \) of \( k \) for which the
quadratic equation \( k x^{2}-k x+1=0 \)
has equal roots is
\( \mathbf{A} \cdot k=0 \)
B. \( k=4 \)
c. \( k=0,4 \)
D. \( k=-4 \)
Subject: Maths
If the function \( f(x)=x^{3}+e^{x} \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{f}^{-1}(\boldsymbol{x}), \) then the value of \( \boldsymbol{g}^{\prime}(\mathbf{1}) \)
is
Subject: Maths
The lock of a safe consists of five disce
each of which features the digits. \( 0,1,2, \ldots .9 . \) The safe can be opened by dialing a special combination og the digits. The number of days sufficient enough to open the safe, if the work day lasts \( 13 h \) and \( 5 s \) are needed to dial one
combination of digits is:
\( A \cdot 9 \)
B. 10
\( c \cdot 11 \)
D. 12
Subject: Maths
Let \( X \) and \( Y \) be two related variables.
The two regression lines are given by \( \boldsymbol{x}-\boldsymbol{y}+\mathbf{1}=\mathbf{0} \) and \( \mathbf{2} \boldsymbol{x}-\boldsymbol{y}+\mathbf{4}=\mathbf{0} . \) The
two regression lines pass through the point:
A \( \cdot(-4,-3) \)
в. (-6,-5)
c. (3,-2)
D. (-3,-2)
Subject: Chemistry
Assertion
\( Z r \) and \( H f \) occur together in nature and are difficult to separate.
Reason
\( Z r \) and \( H f \) have identical radii due to lanthanide contraction.
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
\( A B C D \) is a parallelogram, \( A E \) is
perpendicular to \( D C, \) If \( D C=20 \mathrm{cm} \)
\( A D=5 \mathrm{cm} \) and the area of the
parallelogram is \( 40 \mathrm{cm}^{2} \). Find \( D E \)
Subject: Physics
A wheel with 10 spokes each of length ' \( L \)
\( \mathrm{m} \) is rotated with a uniform angular velocity ' \( \omega \) ' in a plane normal to the
magnetic field ' \( B \) '. The emf induced between the axle and the rim of the
wheel.
A \( \cdot \frac{1}{2} N \omega B L^{2} \)
B. \( \frac{1}{2} \omega B L^{2} \)
\( \mathrm{c} \cdot \omega b L^{2} \)
D. \( N \omega B L^{2} \)
Subject: Chemistry
Which of the following changes in the respective bond order values are caused by removal of an electron from
\( N_{2} \) and \( F_{2} \) molecules?
A. Decrease by 0.5 In both
B. Increase by 0.5 In both
c. Increase by 0.5 in the former and decrease by 0.5 in the latter
D. Decrease by 0.5 In the former and Increase by. 0.5 in the latter
E. No change in both
Subject: Physics
The force \( F \) which is applied to \( 1 k g \)
block initially at rest varies linearly with
time as shown in the figure. Find velocity of the block at \( t=4 s \)
A \( .100 \mathrm{m} / \mathrm{s} \)
B. \( 200 \mathrm{m} / \mathrm{s} \)
\( c \cdot 20 m / s \)
D. \( 4 m / s \)
Subject: Physics
The coordinates of centre of mass of
particles of mass \( 10,20,30 g m \) are \( (1,1,1) c m . \) The position of coordinates
of mass \( 40 g m \) which when added to the
system, the position of combined centre
of mass be at (0,0,0) are
A \( \cdot(3 / 2,3 / 2,3 / 2) \)
B . \( (-3 / 2,-3 / 2,-3 / 2) \)
c. \( (3 / 4,3 / 4,3 / 4) \)
D. \( (-3 / 4,-3 / 4,-3 / 4) \)
Subject: Chemistry
Aqua regia is a mixture of :
A. \( H C l \) and nitric acid
B. \( H_{2} S O_{4} \) and nitric acid
\( \mathbf{C} \cdot \mathrm{HCl} \) and \( \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. vinyl chloride and HCI
Subject: Physics
Assertion (A) : Due to annihilation of
electron positron pair, at least \( 2 \gamma \) -ray
photons are produced.
Reason
(R) : This is in accordance with
conservation of linear momentum.
A. Both A \& R are true and R is the correct explanation of \( A \)
B. Both A \& R are true and R is not correct explanation of
C. A is true but R is false
D. A is false but R is true
Subject: Physics
Two conducting rings of radii r and \( 2 r \)
move in opposite directions with velocities \( 2 v \) and \( v \) respectively on a conducting surfaces S. There is a
uniform magnetic field of magnitude B
perpendicular to the plane of the rings. The potential difference between the
highest points of the two rings is?
\( A \cdot \) zero
B. 2rvB
c. 4 rv \( B \)
D. 8rvB
Subject: Chemistry
Heavy water \( \left(D_{2} O\right) \) freezes at \( ? \)
A . \( -3.8^{0} \mathrm{C} \)
B . \( 3.8^{\circ} \mathrm{C} \)
\( c \cdot 0^{0} C \)
D. \( 38^{\circ} \mathrm{C} \)
Subject: Maths
The value of
\( \lim _{|x| \rightarrow \infty} \cos \left(\tan ^{-1}\left(\sin \left(\tan ^{-1} x\right)\right)\right) \) is
equal to
A . -1
B. \( \sqrt{2} \)
c. \( -\frac{1}{\sqrt{2}} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Chemistry
Determine whether following statements is true (T) or false (F) and
write the code in sequence.
1. Dialysis is a method of separation of
copper sulphate crystals from copper sulphate solution.
2. Synergic bonding means self strengthening bond
3. Chromate ion forms a octahedral
structure with all the four \( C r-O \) bond
lengths being equal.
4. Ligand field theory represents an application of molecular orbital theory to transition metal complexes.
A . FTFT
в. \( T F T F \)
c. \( F F T T \)
D. \( T T F F \)
Subject: Chemistry
The reaction, \( \boldsymbol{R} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C O O H} \frac{\boldsymbol{R} e d \boldsymbol{P}}{\boldsymbol{B r}_{2}} \)
\( \boldsymbol{R}-\boldsymbol{C} \boldsymbol{H}_{2}-\underset{\boldsymbol{B} \boldsymbol{r}}{\boldsymbol{C}} \boldsymbol{H}-\boldsymbol{C O O H} \) is called:
A. Reimer-Tiemann reaction
B. Hell-volhard-zelinsky reaction
c. Cannizzaro reaction
D. Sandmeyer reaction
Subject: Maths
A man 2 metres tall walks away from a lamp post 5 metres height at the rate of \( 4.8 \mathrm{km} / \mathrm{hr} . \) The rate of increase of the length of his shadow is
A. \( 1.6 \mathrm{km} / \mathrm{hr} \)
B. \( 6.3 \mathrm{km} / \mathrm{hr} \)
c. \( 5 \mathrm{km} / \mathrm{hr} \)
D. 3.2 km/hr
Subject: Maths
If a random variable X takes values
\( (-1)^{k} 2^{k} / k ; k=1,2,3, \dots . \) with
probabilities \( \boldsymbol{P}(\boldsymbol{X}=\boldsymbol{k})=\frac{\mathbf{1}}{\mathbf{2}^{k}} \) then
\( E(X)= \)
A \( . \log 2 \)
в. \( \log e \)
c. \( \log \left(\frac{1}{2}\right) \)
D. \( \log \left(\frac{1}{4}\right) \)
Subject: Physics
Figure shows a wedge \( A \) of mass \( 6 \mathrm{m} \)
smooth semicircular groove of radius a
\( =8.4 \mathrm{m} \) placed on a smooth horizontal
surface. A small block B of mass m is
released from a position in groove where its radius is horizontal. Find the
speed (in \( \mathrm{ms}^{-1} \) ) of bigger block when
smaller block reaches its bottommost
position
A. \( 3 m / s \)
B. \( 2 m / s \)
\( c .7 m / s \)
\( \mathbf{D} \cdot 4 m / s \)
Subject: Physics
A charged particle is shot at an angle \( \theta \)
to a uniform magnetic field along directed X-axis. Duration its motion
along a helical path, whose pitch is equal to the maximum distance from \( x \) axis, the particle will :
This question has multiple correct options
A. Never move parallel to x-axis
B. \( \tan \theta=2 / p i \)
\( \mathbf{c} \cdot \sin \theta=1 / p i \)
D. \( \tan \theta=\pi \)
Subject: Physics
A ring \( (R), \) a disc \( (D), \) a solid sphere \( (S) \) and a hollow sphere with thin walls (H), all having the same mass and radii, start together from rest at the top of an inclined plane and roll down without slipping. This question has multiple correct options
A. All of them will reach the bottom of the incline together.
B. The body with the maximum radius will reach the bottom first.
c. They will reach the bottom in order \( \mathrm{S}, \mathrm{D}, \mathrm{H}, \mathrm{R} \)
D. All of them will have the same kinetic energy at the bottom of the incline
Subject: Chemistry
topp
товою
\( \mathrm{CH}_{3} \)
\( \mathrm{CH}_{3}^{\prime} \mathrm{CH}-\mathrm{CH}_{2}- \)
\( \mathrm{CH}_{3}-\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}_{3} \)
\( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2}- \)
\( \mathrm{CH}_{3} \)
\( \mathrm{CH}_{3}-\mathrm{C}- \)
\( \mathrm{CH}_{3} \)
Subject: Physics
Figure shows a composite system of
two uniform rods of lengths as
indicated. If both the rods are of same
density. Then the coordinates of the
centre of mass of the system of rods
are:
A \( \cdot\left(\frac{L}{2}, \frac{2 L}{3}\right) \)
B \( \cdot\left(\frac{L}{4}, \frac{2 L}{3}\right) \)
c. \( \left(\frac{L}{6}, \frac{2 L}{3}\right) \)
D. \( \left(\frac{L}{6}, \frac{L}{3}\right) \)
Subject: Maths
If \( f(x)=\frac{e^{1 / x}-1}{e^{1 / x}+1}, x \neq 0 \) and \( f(0)=0 \)
then \( f(x) \) is
A. Continuous at 0
B. Right continuous at 0
c. Discontinuous at 0
D. Left continuous at 0
Subject: Physics
A marble of mass \( x \) and diameter \( 2 r \) is
gently released in tall cylinder containing honey. If the marble displace \( \operatorname{mass} \boldsymbol{y}(<\boldsymbol{x}) \) of the liquid, then the
terminal velocity is proportional to
\( \mathbf{A} \cdot x+y \)
в. \( x-y \)
c. \( \frac{x+y}{r} \)
D. \( \frac{x-y}{r} \)
Subject: Chemistry
fone mole of an ideal gas \( \left(\gamma=\frac{4}{3}\right) \) is expanded reversibly and adiabatically from \( 800 \mathrm{K} \) to \( 200 \mathrm{K}, \) which of the following statement's are correct? This question has multiple correct options
A. ratio of final volume to initial volume is 64
B. ratio of final pressure to initial pressure is \( \frac{1}{256} \)
c. ratio of final volume to initial volume is 32
D. ratio of final pressure to initial pressure is \( \frac{1}{16} \)
Subject: Maths
\( A \& B \) are two separate reservoirs of water. The capacity of reservoir A is double the capacity of reservoir B. Both the reservoirs are filled completely with water, their inlets are closed and then
the water is released simultaneously
from both the reservoirs. The rate of flow
of water out of each reservoir at any
instant of time is proportional to the quantity of water in the reservoir at that time. One hour after the water is
released, the quantity of water in reservoir A is 1.5 times the quantity of water in reservoir B. After how many hours do both the reservoirs have the
same quantity of water? (Enter \( n \) if the answer is \( T=\log _{4 / 3} n \) )
Subject: Physics
The motion of a body is given by the equation \( \frac{d v}{d t}=6-3 v \) where v is the speed in \( m s^{-1} \) and \( t \) is time in s. The
body is at rest at \( t=0 . \) The speed varies with time as
A \( \cdot v=\left(1-e^{-3 t}\right) \)
B . \( v=2\left(1-e^{-3 t}\right) \)
c. \( v=\left(1+e^{-2 t}\right) \)
D \( \cdot v=2\left(1+e^{-2 t}\right) \)
Subject: Maths
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{b} \boldsymbol{c} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{c a} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{a b}\end{array}\right|=\boldsymbol{\lambda}\left|\begin{array}{ccc}\boldsymbol{a}^{2} & \boldsymbol{b}^{2} & \boldsymbol{c}^{2} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{1} & \boldsymbol{1} & \boldsymbol{1}\end{array}\right| \) then
\( \lambda \) is equal to
\( A \)
B . -
\( c \)
\( D .- \)
Subject: Physics
Assertion
Gauss theorem can be applied only for a
closed surface.
Reason
Electric flux can be obtained passing
from an open surface also.
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
Udxidı Canıt ILyplicaliy ustu IUI CdNIE
and satellite tv) has its signal run on a
copper wire surrounded by an insulator which is surrounded by the ground wire,
as opposed to the typical side by side
configuration.
What is the most logical reason for
this?
A. The energy held in the electric field between the inside wire and the outside allow for a clearer signal.
B. The outside wire prevents any magnetic field from the inside wire from leaking out of the wire
C. The outside wire prevents electric fields from interfering with the signal in the inside wire
D. The overall resistance of the wire is reduced using this configuration.
Subject: Physics
Given that \( x= \) displacement at time \( t \) and p,q,r are constants. Which of the following represents the motion with constant non zero acceleration?
A \( . x=p t-1+q t^{2} \)
B. x=qt
c. \( x=p t+q t^{2} \)
D. \( x=p t+q t^{2}+r t^{3} \)
Subject: Physics
The diagram below shows four orange
spheres moving in circular paths at
constant speeds. The speeds are indicated by the red arrows.
The radius of the circular path for each
indicated by the green arrows. The mass of each sphere is labeled inside the
boundary of the sphere

How do the sphere rank, according to the magnitudes of their accelerations,
greatest first?
A \( \cdot 4,3,1 \) and 2 tie
B. 3,1 and 4 tie, 2
\( c .3,2 \) and 4 tie,
D. 1,2 and 3 tie,
E. 1,3,2,4
Subject: Physics
A cubical block of side a is moving with velocity v on a horizontal smooth plane
as shown in figure. It hits a ridge at point \( 0 . \) The angular speed of the block after it hits 0 is:
\( \mathbf{A} \cdot \frac{3 v}{4 a} \)
B. \( \frac{3 v}{2 a} \)
c. \( \sqrt{\frac{3}{2} c} \)
D. zero
Subject: Chemistry
An optically active compound A upon acid catalysed hydrolysis yield two
optically active compound B and \( C \) by pseudo first order kinetics. The observed rotation of the mixture after
20 min was \( 20^{\circ} \) while after completion
of the reaction it was \( -20^{\circ} . \) If optical
rotation per mole of \( A, B \& C \) are \( 60^{\circ}, 40^{\circ} \)
\( \&-80^{\circ} . \) Calculate half life of the
reaction.
A. 20 min
B. 24 min
c. 28 min
D. 32 min
Subject: Maths
Lines \( L_{1}: x+\sqrt{3} y=2, \) and \( L_{2}: a x+ \)
\( b y=1 \) meet at \( P \) and enclose an angle
of \( 45^{\circ} \) between them. A line \( L_{3}: y= \)
\( \sqrt{3} x, \) also passes through \( P \) then
\( \mathbf{A} \cdot a^{2}+b^{2}=1 \)
B \( \cdot a^{2}+b^{2}=2 \)
c. \( a^{2}+b^{2}=3 \)
\( \mathbf{D} \cdot a^{2}+b^{2}=4 \)
Subject: Maths
The relationship illustrated by the given
Venn diagram is :
\( \mathbf{A} \cdot(A \cup B) \cap C \)
\( \mathbf{B} \cdot(A \cap B) \cap C \)
\( \mathbf{c} \cdot(A \cap C) \cup B \)
\( \mathbf{D} \cdot(A \cup B)^{\prime} \cap C \)
Subject: Maths
Differentiate the following functions
with respect to \( \boldsymbol{x} \)
\( \boldsymbol{x} \sin 2 \boldsymbol{x}+\mathbf{5}^{\boldsymbol{x}}+\boldsymbol{k}^{\boldsymbol{k}}+\left(\tan ^{2} \boldsymbol{x}\right)^{2} \)
Subject: Biology
Which of the following options is
correct?
A. Transfer of pollen grains from the anther to the stigma of the same flower-Autogamy
B. Transfer of pollen grains from the anther of one flower to the stigma of another flower of same plantGeitonogamy
C. Transfer of pollen grains from the anther to the stigma of a genetically different plant of same speciesXenogamy
D. All of these
Subject: Physics
The focal length of a biconvex lens of refractive index \( \frac{3}{2} \) is \( 40 \mathrm{cm} . \) When immersed in a liquid of refractive index \( \frac{4}{3} \) its focal length in meters will be :
A . 160
B. 16
\( c .1 .6 \)
D. 0.8
Subject: Biology
Match the following
List -

List - II
\( A \)
Sandwich । Three dimensional image ELISA
B. QRS
II. Substrate linked antibody complex
\( \mathrm{C} \)
III. Ventricular depolarisation Allograft
D. CT
IV. Transplantation between Scan \( \quad \) genetically non-identical individuals
A. \( A-\| I, B-11, C-1, D-1 V \)
B. \( A-I, B-11, C-111, D-1 V \)
C. \( A-I V, B-\| I, C-11, D-1 \)
D. \( A-11, B-111, C-1 V, D-1 \)
Subject: Biology
Assertion
Transmission of the nerve impulse across a synapse is accomplished by neurotransmitters.
Reason
Transmission across a synapse usually
requires neurotransmitters because
there is small space i.e., synaptic cleft,
that separates one neuron from another.
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
An aluminium rod (Young's modulus \( = \) \( \left.\mathbf{7} \times \mathbf{1 0}^{\mathbf{9}} \mathbf{N} / \mathbf{m}^{\mathbf{2}}\right) \) has a breaking strain of
\( 0.2 \% . \) The minimum cross-sectional
area of the rod in order to support a load
of \( 10^{4} \) Newton's is:
\( \mathbf{A} \cdot 1 \times 10^{-2} m^{2} \)
B. \( 1.4 \times 10^{-3} m^{2} \)
\( \mathrm{c} \cdot 3.5 \times 10^{-3} \mathrm{m}^{2} \)
D. \( 7.1 \times 10^{-4} m^{2} \)
Subject: Physics
A group of students while coming from
the school noticed a box marked

"Danger H.T. 2200 \( V \) " at a substation in
the main street. They did not understand the utility of a such a high voltage, while they argued the supply was only \( 220 \mathrm{V} \). They asked their
teacher this question the next day. The teacher thought it to be an important question and therefore explained to the whole class.
(i) What device is used to bring the high voltage down to low voltage of a.c. current and what is the principle of its working?
(ii) Is it possible to used this device for bringing down the high dc voltage to the
low voltage? Explain.
(iii) Write the values displayed by the
students and the teacher
Subject: Maths
An ellipse with centre at (0,0) cuts \( x \) axis at (3,0) and \( (-3,0) . \) If its \( e=\frac{1}{2} \) then the length of the semiminor axis is:
A \( .2 \sqrt{3} \)
B. \( \sqrt{5} \)
c. \( 3 \sqrt{2} \)
D. \( \frac{3 \sqrt{3}}{2} \)
Subject: Physics
A step supplies water at \( 22^{\circ} \mathrm{C} \). A man
take 1 liter per minute at \( 37^{\circ} \mathrm{C} \) from the
geyser. the power of geyser is
A. 2100 \( w \)
B. 1050 \( w \)
c. 1575 w
D. 525 w
Subject: Maths
Let \( A \) and \( B \) be two independent events such that \( \boldsymbol{P}(\boldsymbol{A})=\frac{1}{5}, \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\frac{\mathbf{7}}{\mathbf{1 0}} \)
Then \( P(\bar{B}) \) is equal to
A \( \cdot \frac{3}{8} \)
B. \( \frac{2}{7} \)
\( c \cdot \frac{7}{9} \)
D. none of these
Subject: Chemistry
Assertion
Newland's law of octaves of elements is
a function of their state that the
property of every eighth element is the repetition of the first.
Reason
The maximum of 8 electrons can be
accommodated in valence shell.
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
A particle executes SHM of period 12 s. After two seconds, it passes through the centre of oscillation, the velocity is
found to be \( 3.142 \mathrm{cm} s^{-1} . \) The amplitude of oscillation is:
A. \( 6 \mathrm{cm} \)
в. 3 ст
\( \mathrm{c} \cdot 24 \mathrm{cm} \)
D. \( 12 \mathrm{cm} \)
Subject: Physics
With usual notation, the following equation, said to give the distance
covered in the \( n^{t h} \) second i.e., \( S_{n}=u+ \)
\( a \frac{(2 n-1)}{2} \) is :
A. numerically correct
B. dimensionally correct
c. both dimensionally and numerically correct
D. neither numerically nor dimensionally correct
Subject: Maths
\( \mathbf{A}=\left|\begin{array}{lll}\mathbf{5} & \mathbf{3} & \mathbf{8} \\ \mathbf{2} & \mathbf{0} & \mathbf{1} \\ \mathbf{1} & \mathbf{2} & \mathbf{3}\end{array}\right|, \) write the cofactor of
the element \( a_{32} \)
Subject: Chemistry
Select incorrect statement(s).
A. Ionisation energies of 5d-elements are greater than those of \( 3 d \) and \( 4 d \) elements
B. Cu(l) is diamagnetic while Cu(II) is paramagnetic
\( \mathbf{c} \cdot\left[T i\left(H_{2} O\right)_{6}\right]^{3+} \) is coloured while \( \left[S c\left(H_{2} O\right)_{6}\right]^{3+} \)
colourless
D. Transition elements cannot form complexes
Subject: Chemistry
A gaseous compound of nitrogen and
hydrogen contains \( 12.5 \% \) (by mass) of hydrogen. The density of the compound relative to hydrogen is 16. The molecular formula of the compound is:
A \( . N H_{3} \)
в. \( N_{2} H_{4} \)
c. \( N_{3} H \)
D. \( N H_{2} \)
Subject: Physics
Figure
(a) below shows a Wheatstone
bridge in which \( P, Q, R, S \) are fixed
resistances, G is a galvanometer, and B
is a battery. For this particular case the galvanometer shows zero deflection.
Now, only the positions of B and G are interchanged, as shown in figure (b).
The new deflection of the galvanometer.
A. Is to the left
B. Is to the right
c. Is zero
D. Depends on the values of P, Q, R, s
Subject: Chemistry
The van der Waal's constants for a gas
\( \operatorname{are} a=3.6 a t m \quad L^{2} m o l^{2}, b= \)
\( \mathbf{0 . 6 L} \quad \boldsymbol{m o l}^{-1} . \) If \( \boldsymbol{R}= \)
\( \begin{array}{lll}\mathbf{0 . 0 8} \mathbf{L} & \mathbf{a t m} & \mathbf{K}^{-\mathbf{1}} \mathbf{m o l}^{-\mathbf{1}} \text { and the }\end{array} \)
Boyle's temperature \( (K) \) is \( T_{0} \) of this
gas, then what is the value of \( \frac{T_{B}}{15} ? \)
Subject: Physics
What steady current can be drawn from
an accumulator of capacity 80 Ah?
A. \( 4 A \) for 20 hrs
B. 40 A for 6 hrs
\( \mathrm{c} .20 \mathrm{A} \) for \( 5 \mathrm{hrs} \)
D. \( 2 A \) for 100 hrs
Subject: Physics
A circuit containing resistance \( \boldsymbol{R}_{1} \)
Inductance \( L_{1} \) and capacitance \( C_{1} \)
connected in series resonates at the
same frequency \( n \) as a
second combination of \( \boldsymbol{R}_{2}, \boldsymbol{L}_{2} \) and \( \boldsymbol{C}_{2} . \) If
the two are connected in series, then the circuit will resonate at:
A . \( n \)
B. \( 2 n \)
c. \( \sqrt{\frac{L_{2} C_{2}}{L_{1} C_{1}}} \)
D. \( \sqrt{\frac{L_{1} C_{1}}{L_{2} C_{2}}} \)
Subject: Chemistry
Identify the compounds which give
yellow precipitate with \( \boldsymbol{I}_{2}+ \) NaOH
(a) Ethyl alcohol
(b) Acetone
(c) Propyl alcohol
(d) 2-propanol
(e) 3 - butanone
(f) Butanal
\( A \cdot c, e \) and \( f \)
B. a, dand f
c. e, f and a
D. a, b and d
Subject: Chemistry
How many grams of ammonium chloride should be dissolved in \( 500 \mathrm{mL} \)
of water to have a solution of pH \( 4.5 ? \)
\( \left[K_{b} \text { for ammonium hydroxide is } 1.8 \times\right. \)
\( \left.10^{-5}\right] \)
A . 25.22
B. 48.15
c. 53.5
D. 90