AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If the function \( \mathbf{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{ll}\frac{2^{x+2}-16}{4^{x}-16} & \text { for } x \neq 2 \\ \mathbf{A} & x=2\end{array} \) is continuous \right.
at \( \boldsymbol{x}=\mathbf{2}, \) then \( \mathbf{A}= \)
\( A \cdot 2 \)
B.
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
Assertion
In the extraction of aluminium by
electrolysis it is necessary to renew the anode periodically.
Reason
Oxygen gas is formed and at high temperature of the electrolysis cell it burns and oxidises away the carbon
electrodes to form toxic carbon
monoxide or carbon dioxide
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
A sound wave travelling in air is made to propagate through a liquid such that the velocity of sound is quadrupled. If the frequency of he sound wave is constant, find the change in the wavelength of the sound wave.
A \( \cdot \lambda_{a i r} \)
B. \( 2 \lambda_{\text {ar }} \)
c. \( 3 \lambda_{\lambda i} \)
D. \( 4 \lambda_{\text {ar }} \)
Subject: Physics
A block of carbon, \( 1.0 \mathrm{cm} \) by \( 2.0 \mathrm{cm} \) by
\( 5.0 \mathrm{cm}, \) has a resistance of 0.015
between its two smaller faces. What is
the resistivity of carbon?
A \( \cdot 1 \times 10^{-8} \Omega m \)
В. \( 2 \times 10^{-8} \Omega m \)
c. \( 4 \times 10^{-5} \Omega m \)
D. \( 6 \times 10^{-8} \Omega m \)
Subject: Physics
When a galvanometer is shunted with a
\( 4 \Omega \) resistance, the deflection is reduced
to one - fifth. If the galvanometer is
further shunted with a \( 2 \Omega \) wire,
determine current in galvanometer now
if initially current in galvanometer is \( I_{0} \) (given main current remain same).
A \( \cdot I_{0} / 13 \)
the
в. \( I_{0} / 5 \)
c. \( I_{0} / 8 \)
D. \( 5 I_{0} / 13 \)
Subject: Maths
Find the solution of \( \left(e^{y}+1\right) \cos x d x+ \)
\( e^{y} \sin x d y=0 \)
\( A \cdot \sin x\left(e^{y}+1\right)=c \)
B \cdot \( \sin x\left(e^{y}-1\right)=c \)
\( \mathbf{c} \cdot \sin x\left(2 e^{y}+1\right)=c \)
D・sin \( x\left(3 e^{y}-1\right)=c \)
Subject: Physics
In the given (a) calculate the effective
resistance of the circuit and (b)
calculate the reading of the ammeters
\( A_{1} A_{2} \) and \( A_{1} \) If \( R_{1}=10 \Omega \) and \( R_{2}=6 \Omega \)
and \( \boldsymbol{E}=\mathbf{1 0} \boldsymbol{V} \)
Subject: Physics
The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator
are \( 2 m / s \) and \( 4 m / s^{2} . \) The angular velocity will be:
A. \( 3 r a d / s \)
B. \( 0.5 r a d / s \)
c. \( 1 r a d / s \)
D. \( 2 r a d / s \)
Subject: Physics
of same length but made up of different
materials and kept as shown, an be, if
the meeting point is the origin of \( c 0 \)
ordinates
\( ^{\mathrm{A}} \cdot\left(\frac{L}{2}, \frac{L}{2}\right) \)
B \( \cdot\left(\frac{2 L}{3}, \frac{L}{2}\right) \)
c. \( \left(\frac{L}{3}, \frac{L}{3}\right) \)
D \( \cdot\left(\frac{L}{3}, \frac{L}{6}\right) \)
Subject: Chemistry
The molar enthalpy of vaporization of benzene at its boiling point \( (353 K) \) is
\( 30.84 \mathrm{kJ} \) mol\( ^{-1} . \) What is the molar
internal energy change? For how long
would a 12 volt source need to supply a \( 0.5 A \) current in order to vaporise \( 7.8 g \) of
the sample at its boiling point?
Subject: Physics
What are the forces imparted by
atmosphere on the walls of a room of
dimension \( 6 m \times 5 m \times 4 m ?(1 \mathrm{Atm} .= \)
\( \mathbf{1 0}^{\mathbf{5}} \boldsymbol{N} / \boldsymbol{m}^{\mathbf{2}} \mathbf{)} \)
\( \mathbf{A} \cdot 7 \times 10^{6} N \)
B \( \cdot 2 \times 10^{7} N \)
C \( .2 \times 10^{8} N \)
D. \( 2 \times 10^{6} N \)
Subject: Physics
A square box of water has a small hole
located in one of the bottom corners.
When the box is full and sitting on a level surface, complete opening of the hole results in a flow of water with a
speed \( v_{0}, \) as shown in fig. When the box
is still half empty, it is tilted by \( 45^{\circ} \) so
that the hole is at the lowest point. Now the water will flow out with a speed of:
A \( \cdot v_{0} \)
B. \( v_{0} \cdot 2 \)
c. \( \frac{v_{0}}{\sqrt{2}} \)
D. \( \frac{v_{0}}{\sqrt[4]{2}} \)
Subject: Chemistry
\( N_{2}(g)+3 H_{2}(g) \rightarrow \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}^{O}=-\boldsymbol{4} 4 \boldsymbol{K} \boldsymbol{c a l} \)
For the above reaction, the correct
statement is:
\( \begin{array}{lll}\text { A } . \Delta H & <\Delta E\end{array} \)
в. \( \Delta H \quad=\Delta E \)
\( c . \Delta H \quad>\Delta E \)
D. none of these
Subject: Physics
In a series of radioactive decays, if a
nucleus of mass number 180 and
atomic number 72 decays into another nucleus of mass number 172 and
atomic number 69 , then the number of
\( \alpha \) and \( \beta \) particles released respectively
are
A .2,3
в. 2,2
c. 2,1
D. 2,0
E . 1,3
Subject: Maths
\( \mathbf{f}^{n} \boldsymbol{C}_{\boldsymbol{r}-\mathbf{1}}=\mathbf{3 6},^{\boldsymbol{n}} \boldsymbol{C}_{\boldsymbol{r}}=\mathbf{8 4} \) and \( ^{\boldsymbol{n}} \boldsymbol{C}_{\boldsymbol{r}+\mathbf{1}}= \)
\( 126, \) then \( r \) is
\( A \cdot 1 \)
B . 2
\( c .3 \)
D.
Subject: Physics
I wo very long stralght parallel wires
having current \( I \) and \( 2 I \) as shown in the
figure. A point charge \( q \) is at a point
equidistant from the two wires in the plane of the wires. Its instantaneous
velocity \( \bar{v} \) is parallel to currents in the plane. The magnitude of force due to the magnetic field acting on the charge at
this instant is:
A \( \cdot \frac{q v \mu_{0} l}{2 \pi d} \)
B. \( \frac{2 q v \mu_{0} l}{3 \pi d} \)
C. \( \frac{6 q v \mu_{0} l}{2 \pi d} \)
D. \( \frac{q v \mu_{0} l}{\pi d} \)
Subject: Maths
Let the perpendicular from any point on
the line \( 2 x+11 y=5 \) upon the lines
\( 24 x+7 y=20 \) and \( 4 x-3 y=2 \) have
the lengths \( p \) and \( p^{\prime} \) respectively. Then
A \( \cdot 2 p=p^{\prime} \)
В . \( p=p^{\prime} \)
c. \( p=2 p^{\prime} \)
D. none of these
Subject: Physics
The coefficient of friction between the
tyres and the road is \( 0.1 . \) The maximum speed with which a cyclist can take a circular turn of radius \( 3 \mathrm{m} \) without
skidding is then (Take \( \left.g=10 m s^{-2}\right) \)
B. \( \sqrt{3} \mathrm{ms}^{-1} \)
D. \( \sqrt{10} \mathrm{ms}^{-1} \)
Subject: Physics
The radioactivity of a sample is \( \boldsymbol{R}_{1} \) at a
time \( T_{1} \) and \( R_{2} \) at a time \( T_{2} . \) If the half-
life of the specimen is \( T, \) the number of atoms that have disintegrated in the \( \operatorname{time}\left(T_{2}-T_{1}\right) \) is proportional to:
A \( . R_{1} T_{1}-R_{2} T_{2} \)
B \( . R_{1}-R_{2} \)
c. \( \frac{\left(R_{1}-R_{2}\right)}{T} \)
D. \( \left(R_{1}-R_{2}\right) T \)
Subject: Physics
Space between two concentric spheres
of radii \( r_{1} \) and \( r_{2}, \) such that \( r_{1}<r_{2}, \) is
filled with a material of resistivity \( \rho \)
Find the resistance between inner and
outer surface of the material.
A \( \cdot \frac{r_{1}}{r_{2}} \frac{\rho}{2} \)
В. \( \frac{r_{2}-r_{1}}{r_{r} r_{2}} \frac{\rho}{4 \pi} \)
c. \( \frac{r_{1} r_{2}}{r_{2}-r_{1}} \frac{\rho}{4 \pi} \)
D. None of these
Subject: Biology
toppr LoGin Jolv Now
0
Q Type your question
functions.
What is and
\( \begin{array}{lll}\text { Functions of } & \text { Functions of } \\ \text { growth promoters } & \begin{array}{l}\text { growth } \\ \text { inhibitors }\end{array} \\ \text { (a) } & \text { (i), (ii), (vii), (ix) } & \begin{array}{l}\text { (iii), (iv), (v), (vi), } \\ \text { (viii), (x) }\end{array} \\ \begin{array}{ll}\text { (b) } & \text { (viii), (ix), (x) } & \begin{array}{l}\text { (i), (ii), (ii)), (iv), } \\ \text { (v), (vi), (vii) }\end{array} \\ \text { (c) } & \begin{array}{l}\text { (i), (ii), (ii), (iv), (v), } \\ \text { (vi), (vii) }\end{array} & \text { (viii), (ix), (x) } \\ \text { (d) } & \begin{array}{l}\text { (i), (ii) (ii), (iv), (v), } \\ \text { (vi), (vii), (ix), (x) }\end{array} & \text { (viii) }\end{array}\end{array} \)
Subject: Physics
At a metro station, a girl walks up a
stationary escalator in time \( t_{1} \). If she
remains stationary on the escalator,
then the escalator take her up in time \( t_{2} \)
The time taken by her to walk up on the moving escalator will be
A \( \cdot \frac{\left(t_{1}+t_{2}\right)}{2} \)
В. \( \frac{t_{1} t_{2}}{\left(t_{2}-t_{1}\right)} \)
c. \( \frac{t_{1} t_{2}}{\left(t_{2}+t_{1}\right)} \)
D. \( t_{1}-t_{2} \)
Subject: Chemistry
IUPAC name of \( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{C l}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right] \) is:
A. platinum diaminechloronitrite
B. chloronitrito-N-ammineplatinum (II)
c. diamminechloridonitrito-N-platinum (II)
D. diamminechloronitrito-N-platinate (II)
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be given by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( [\boldsymbol{x}]^{2}+[\boldsymbol{x}+\mathbf{1}]-\mathbf{3}, \) where \( [\boldsymbol{x}] \) denotes the
greatest integer less than or equal to \( x \) Then, \( \boldsymbol{f}(\boldsymbol{x}) \) is
A. many-one and onto
B. many-one and into
c. one-one and into
D. one-one and onto
Subject: Physics
Two particles start moving from the same position on a circle of radius 20 \( \mathrm{cm} \) with speed \( 40 \pi \mathrm{m} / \mathrm{s} \) and \( 36 \pi \mathrm{m} / \mathrm{s} \)
respectively in the same direction. Find
the time after which the particles will meet again.
Subject: Maths
A swimming pool is \( 40 \mathrm{m} \) long and \( 15 \mathrm{m} \)
wide. Its shallow and deep ends are 1.5
\( m \) and \( 3 m \) deep respectively. If the
bottom of the pool slopes uniformly, find
the amount of water in litres required to
fill the pool.
A .42,33,000 litres
B. 13,50,000 litres
c. 22,17,000 litres
D. 41,12,000 litres
Subject: Maths
\( \operatorname{Det}\left\{\begin{array}{ccc}1^{2} & 2^{2} & 3^{2} \\ 2^{2} & 3^{2} & 4^{2} \\ 3^{2} & 4^{2} & 5^{2}\end{array}\right\}=\dots \)
A . -8
B. -7
\( c .-6 \)
D. \( -21 / 4 \)
Subject: Chemistry
The correct decreasing order of the acidic strength of the given compound is :
\( A \cdot(|>>(\mid I)>(\| I)>(I V) \)
B. (II)> (III)> (I)> (IV)
\( c \cdot(\|\|)>(\|)>(|D>(\mid V) \)
\( D \cdot(\mid)>(|| \mid)>(||)>(\mid V) \)
Subject: Chemistry
Assertion
When sodium hydride in fused state is electroysed, hydrogen is discharged at anode
Reason
Sodium hydride is an electroovalent compound in which hydrogen is present
as cation
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
Indicate in which case/cases the
spontaneity of a change is favoured when
This question has multiple correct options
\( \mathbf{A} \cdot \Delta G i s+v e \)
B. \( \Delta \)His \( - \)ve
c. \( \Delta \) Sis \( +v e \)
D. \( \Delta \) Sis \( -v e \)
E . \( \Delta \) Gis \( - \) ve
Subject: Physics
The current I and voltage V graphs for a given metallic wire of two different
temperatures \( T_{1} \) and \( T_{2} \) are shown in the following figure. It is concluded that:
A \( \cdot T_{1}>T_{2} \)
в. \( T_{1}<T_{2} \)
c. \( T_{1}=T_{2} \)
D. \( T-1=2 T_{2} \)
Subject: Maths
If a matrix has 13 elements, then the
possible dimensions (orders) of the matrix are
\( \mathbf{A} \cdot 1 \times 13 \) or \( 13 \times 1 \)
B. \( 1 \times 26 \) or \( 26 \times 1 \)
c. \( 2 \times 13 \) or \( 13 \times 2 \)
D. \( 13 \times 13 \)
Subject: Physics
A circular loop of area \( 1 \mathrm{cm}^{2}, \) carrying a current of \( 10 \mathrm{A}, \) is placed in a magnetic field of \( 0.1 \mathrm{T} \) perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is?
A. zero
B. \( 10^{-4} \mathrm{N}-\mathrm{m} \)
\( c \cdot 10^{-2} N-m \)
D. 1N-m
Subject: Chemistry
\( N_{2}(g)+3 H_{2}(g) \longrightarrow 2 N H_{3}: \Delta H= \)
\( -92 k J \) is Haber \( s \) process for
manufacture of \( \boldsymbol{N} \boldsymbol{H}_{\boldsymbol{3}} \)
What is the numerical value of heat of
formation of \( \boldsymbol{N} \boldsymbol{H}_{3} \) ?
Subject: Physics
A \( 4 g \) bullet is fired horizontally with a speed of \( 300 m / s \) into \( 0.8 k g \) block of wood, which is at rest on a table. If the
coefficient of friction between the block
and the table is \( 0.3, \) how far will the
block slide approximately?
A. \( 0.20 \mathrm{m} \)
B. 0.375 m
c. \( 0.565 \mathrm{m} \)
D. 0.750 \( \mathrm{m} \)
Subject: Maths
The value of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{x^{2}-3 x+2}{x^{2}+x-6} \) lies in the interval
\( ^{\mathbf{A}} \cdot(-\infty, \infty) /\left\{\frac{1}{5}, 1\right\} \)
B \( \cdot(-\infty, \infty) \)
\( \mathrm{c} \cdot(-\infty, \infty) / 1 \)
D. None of these
Subject: Physics
In the given figure, the position-time
graph of a particle of mass \( 0.1 \mathrm{kg} \) is
shown. The impulse at \( t=2 \) sec is:
A. \( 0.2 \mathrm{kg} \mathrm{m} \mathrm{sec}^{-1} \)
B. \( -0.2 \mathrm{kg} \mathrm{m} \mathrm{sec}^{-1} \)
C. \( 0.1 \mathrm{kg} \mathrm{m} \mathrm{sec}^{-1} \)
D. \( -0.4 \mathrm{kg} \mathrm{m} \mathrm{sec}^{-1} \)
Subject: Maths
Simplify the multiplication of complex numbers: \( \boldsymbol{a} \times(\boldsymbol{c}, \boldsymbol{d}) \)
\( \mathbf{A} \cdot(a c, a d) \)
B. \( (-a d, a c) \)
c. \( (a d, a c) \)
D. None of these
Subject: Physics
For position of real object at \( x_{1} \) and
\( x_{2}\left(x_{2}>x_{1}\right) \) magnification is equal to 2
Find out \( \frac{x_{1}}{x_{2}} . \) if focal length of converging
lens \( \boldsymbol{f}=\mathbf{2 0} \boldsymbol{c m} \)
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{4} \)
\( c \cdot 2 \)
D.
Subject: Physics
By splitting a total mass \( M \) in two
masses \( M_{1} \) and \( M_{2} \), the maximum
value of tension that can be produced in
the string 1 as shown in the figure is:
A. \( \frac{M g}{2} \)
в. \( M g \)
\( c \cdot \frac{M g}{4} \)
D. \( 4 M g \)
Subject: Chemistry
Match list I with list II. Choose the
correct matching codes from the choices given. List I
(Hydride) hydride)
A. \( B e H_{2} \)
1. Complex
B. \( \boldsymbol{A} \boldsymbol{s} \boldsymbol{H}_{\mathbf{3}} \)
2. Lewis acid
\( \mathbf{C} . \boldsymbol{B}_{2} \boldsymbol{H}_{\mathbf{6}} \)
3. Interstitial
D. \( \boldsymbol{L} \boldsymbol{a} \boldsymbol{H}_{\mathbf{3}} \)
4. Covalent
E. \( \boldsymbol{L} \boldsymbol{i} \boldsymbol{A} \boldsymbol{l} \boldsymbol{H}_{\boldsymbol{4}} \)
5. Intermediate
A. A-6, B-2, C-4, D-5, E-1
B. A-6, B-2, C-4, D-3, E-1
c. \( A-6, B-4, C-2, D-3, E-15 \)
D. A-5, B-4, C-2, D-3, E-1
Subject: Physics
A battery is delivering same power to
resistance \( R_{1} \) and \( R_{2} . \) Then find the internal resistance of battery :
A. \( \frac{R_{1}-R_{2}}{2} \)
В. \( R_{1}+R_{2} \)
c. \( \sqrt{R_{1}+R_{2}} \)
D. \( \sqrt{R_{1}+R_{2} / 2} \)
Subject: Physics
The binding energies per nucleon for
deuteron \( \left(_{1} H^{2}\right) \) and helium \( \left(_{2} H e^{4}\right) \) are
\( 1.1 \mathrm{MeV} \) and \( 7.0 \mathrm{MeV} \), respectively. Calculate the energy released when two deuterons fuse to form a helium
nucleus \( \left(_{2} \boldsymbol{H} e^{4}\right) \)
Subject: Physics
A river is flowing from west to east at a speed of 5 meters per minute. A man on
the south bank of the river, capable of
swimming at 10 meters per minute in still waters, wants to swim across the
river in the shortest time, he should
swim in a direction:
A. due north
B. \( 30^{\circ} \) east of north
c. \( 30^{\circ} \) north of west
D. \( 60^{\circ} \) east of north
Subject: Physics
Air has refractive index \( 1.0003 . \) Find the
thickness of air column which will
contain one more wavelength of yellow
light of \( 6000 A^{0} \) than in same thickness
of vacuum.
\( \mathbf{A} \cdot 1 \mathrm{mm} \)
B. \( 2 \mathrm{mm} \)
c. \( 3 \mathrm{mm} \)
D. \( 5 \mathrm{mm} \)
Subject: Chemistry
If the salts \( M_{2} X, Q Y_{2} \) and \( P Z_{3} \) have
the same solubilities,their \( \boldsymbol{K}_{s p} \) values are related as \( -(S<1) \)
A \( \cdot K_{s p}\left(M_{2} X\right)=K_{s p}\left(Q Y_{2}\right)<K_{s p}\left(P Z_{3}\right) \)
в. \( K_{s p}\left(M_{2} X\right)>K_{s p}\left(Q Y_{2}\right)=K_{s p}\left(P Z_{3}\right) \)
C. \( K_{s p}\left(M_{2} X\right)=K_{s p}\left(Q Y_{2}\right)>K_{s p}\left(P Z_{3}\right) \)
D. \( K_{s p}\left(M_{2} X\right)>K_{s p}\left(Q Y_{2}\right)>K_{s p}\left(P Z_{3}\right. \)
Subject: Physics
(a) (i)'Two independent monochromatic sources of light cannot produce a sustained interference pattern'. Give
reason
(ii) Light wave each of amplitude "a" and frequency " \( \omega " \), emanating from two coherent light sources superpose at a point. If the displacements due to these
waves is given by \( y_{1}=a c o s \omega t \) and
\( \boldsymbol{y}_{2}=\boldsymbol{a} \cos (\boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{\phi}) \) where \( \boldsymbol{\phi} \) is the phase
difference between the two, obtain the
expression for the resultant intensity at
the point.
(b) In Young's double slit experiment, using monochromatic light of wavelength \( \lambda \), the intensity of light at a point on the screen where path
difference is \( \lambda \), is Kunits. Find out the
intensity of light at a point where path difference is \( \lambda / 3 \)
Subject: Chemistry
Assertion (A): A disulphonic derivative
of \( H_{2} O_{2} \) is Caro's acid.

Reason (R): Caro's acid has one peroxy
bond.
The correct answer is:
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
Subject: Physics
A wire suspended vertically is stretched by a \( 20 \mathrm{kg} f \). Applied to its free end. The increase in length of the wire is 2 mm. The energy stored in the wire is \( \left(g=10 m s^{-2}\right) \)
B. \( 0.2 J \)
c. \( 0.4 J \)
D. \( 5 J \)
Subject: Physics
The value of admittance at resonance in
antiresonant
A \( \cdot \sqrt{G^{2}-S^{2}} \)
B . \( G^{2}+S^{2} \)
c. \( \sqrt{G^{2}+S^{2}} \)
D. \( \frac{G^{2}}{S^{2}} \)
Subject: Chemistry
Which of the following statements is
true?
\( \mathbf{A} \cdot H_{3} P O_{3} \) is stronger acid than \( H_{2} S O_{3} \)
B. In aqueous medium, HF is a stronger acid than HCI
C \( . H C l O_{4} \) is a weaker acid than \( H C l O_{3} \)
D. \( H N O_{3} \) is a stronger acid than \( H N O_{2} \)
Subject: Physics
A hydrogen atom has mass \( 1.68 \times \) \( 10^{-27} \mathrm{kg} . \) When attached to a certain
massive molecule it oscillates with a
frequency \( 10^{14} \mathrm{Hz} \) and with an
amplitude \( 10^{-9} \mathrm{cm} . \) Find the force
acting on the hydrogen atom.
B . \( 3.31 \times 10^{-9} \) N
c. \( 4.42 \times 10^{-9} \) N
D. \( 6.63 \times 10^{-9} \) N
Subject: Chemistry
SBR (GRS, Buna-S, Cold Rubber) is
obtained by free radical copolymerisation of :
A. \( 70 \% \) Buta -1,3 - diene and \( 30 \% \) phenly ethene (styrene)
B. chloroprene and styrene
c. vinly-acetylene and styrene
D. isoprene and 1,3 - butadiene
Subject: Physics
esistance is connected across a uniform
wire of length \( 1 m \). The positive terminal of
another battery of e.m.f. \( 4 V \) and internal
resistance \( 1 \Omega \) is joined to the point \( A \) as
shown in the figure. The ammeter shows
zero deflection when the jockey touches
the wire at the point \( C \)
The length AC is equal to
\( A \cdot 2 / 3 m \)
\( 3.1 / 3 \mathrm{m} \)
\( c \cdot 3 / 5 m \)
12
Subject: Physics
How as a scimilicic un raurus
\( a, \) is rotating about an axis \( P Q \) with a
constant angular velocity \( \omega=1 / \sqrt{L C} \)
with the help of an external agent. \( \mathbf{A} \)
uniform magnetic field \( B \) exists in
space and is directed into the plane of the figure. (circuit part remains at rest)
(left part is at rest)
This question has multiple correct options
A the rms value of current in the circuit is \( \frac{\pi B a^{2}}{R \sqrt{2 L C}} \)
B. The rms value of current in the circuit is \( \frac{\pi B a^{2}}{2 R \sqrt{2 L C}} \)
C. The maximum energy stored in the capacitor is \( \frac{\pi^{2} B^{2} a^{4}}{8 R^{2} C} \)
D. The maximum power delivered by the external agent is \( \frac{\pi^{2} B^{2} a^{4}}{4 L C R} \)
Subject: Maths
In a certain town, \( 40 \% \) of the people have
brown hair, \( 25 \% \) have brown eyes and 15 \( \% \) have both brown hair and brown eyes.
If a person selected at random from the town has brown hair, the probability that he also has brown eyes is
A . \( 1 / 5 \)
B. 3/8
\( c \cdot 1 / 3 \)
D. \( 2 / 3 \)
Subject: Physics
A train is running at \( 5 \mathrm{m} / \mathrm{s} \) and a man jumps out of it with a velocity \( 10 \mathrm{m} / \mathrm{s} \) in
a direction making an angle of \( 60^{\circ} \) with
the direction of the train. The velocity of the man relative to the ground is equal
to
A. \( 12.24 \mathrm{m} / \mathrm{s} \)
B. \( 11.25 \mathrm{m} / \mathrm{s} \)
c. \( 14.23 \mathrm{m} / \mathrm{s} \)
D. \( 13.23 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Which of the following statements is
incorrect?
A. Transition elements exhibit higher enthalpies of atomization as they have stronger interatomic interaction
B. Second ionisation energy of \( _{23} V<_{24} C r>_{25} M n \) and
\( _{28} N i<_{29} C u>_{30} Z n \)
C \( . N i(I I) \) compounds are more stable than \( P t(I I) \) whereas \( P t(I V) \) compounds are more stable than nickel \( (I V) \)
D. The elements which give the greatest number of oxidation states do not occur in or near the middle of the series
Subject: Chemistry
For emission line of atomic hydrogen
from \( n_{i}=8 \) to \( n_{f} \) - the plot of wave number \( (\bar{v}) \) against \( \left(\frac{1}{n^{2}}\right) \) will be: (The Rydberg constnt, \( R_{H} \) is in wave number
unit).
A . linear with slope \( -R_{H} \)
B. linear with intercept - \( R_{H} \)
c. non linear
D. linear with slope \( R_{H} \)
Subject: Chemistry
One litre solution contains \( 1 M \) HOCl
\( \left[\boldsymbol{K}_{a}=\mathbf{1 0}^{-8}\right] \) and \( 1 M \) NaOH.What is
the \( p H \) of the solution?
A. 8
B. 1
\( c \cdot 5 \)
D. 2
Subject: Physics
Seven capacitors, each of capacitance \( 2 \mu F \) are to be connected to obtain a
capacitance of \( 10 / 11 \mu F \).Which of the following combinations is possible?
A. 5 in parallel 2 in series
B. 4 in parallel 3 in series
c. 3 in parallel 4 in series
D. 2 in parallel 5 in series
Subject: Chemistry
Which of the following expressions for \( \% \) ionization of a monoacidic base
\( (B O H) \) in aqueous solution is not correct at appreciable concentration?
A \( \cdot_{100} \times \sqrt{\frac{K_{b}}{c}} \)
В. \( \frac{1}{1+10\left(p K_{b}-p O H\right)} \)
с. \( \frac{K_{w}\left[H^{+}\right]}{K_{b}+K_{w}} \)
D. \( \frac{K_{b}}{K_{b}+\left[O H^{-}\right]} \)
Subject: Chemistry
What is the energy associated with \( 3^{r d} \)
energy shell of hydrogen atom?
В. \( -0.342 \times 10^{-19} \mathrm{J} \)
c. \( -0.126 \times 10^{-19} \mathrm{J} \)
D. \( -2.41 \times 10^{-19} \mathrm{J} \)
Subject: Physics
ì iuur 0
\( 10^{-2} m^{2} \) which has inductance \( L= \)
10m \( H \) and negligible resistance is
placed in a time-varying magnetic field.
Figure shows the variation of B with
time for the interval of 4 s. The field is
perpendicular to the plane of the loop (given at \( t=0, B=0, I=0) . \) The value
of the maximum current induced in the
loop is :
\( \mathbf{A} \cdot 0.1 \mathrm{mA} \)
B. \( 10 \mathrm{mA} \)
C. \( 100 \mathrm{mA} \)
D. Data insufficient
Subject: Maths
If \( f(x)=x+7 \) and \( g(x)=x-7, x \in R \)
find \( (f o g)(7) . \) function \( f: R \rightarrow R \)
defined by \( f(x)=\frac{3 x+5}{2} \) is an invertible
function, find \( \boldsymbol{f}^{-1} \)
Subject: Maths
The contrapositive of \( \boldsymbol{p} \rightarrow(\sim \boldsymbol{q} \rightarrow \sim \boldsymbol{r}) \)
is
A \( \cdot(\sim q \wedge r) \rightarrow \sim p \)
в. \( (q \rightarrow r) \rightarrow \sim p \)
c. \( (q \vee \sim r) \rightarrow \sim p \)
D. none of these.