AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
IUPAC name of \( \left[P t\left(N H_{3}\right)_{3} B r\left(N O_{2}\right) C l\right] C l \)
is:
A. Triamminechlorobromonitroplatinum (IV) chloride
B. Triamminebromonitrochloroplatinum (IV) chloride
C. Triamminebromochloronitroplatinum (IV) chloride
D. Triamminenitrochlorobromoplatinum
(III) chloride
Subject: Chemistry
In which of the following reactions chlorine acts an oxidising agent.
¡) \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H}+\boldsymbol{C l}_{2} \rightarrow \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{H C l} \)
ii) \( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{C l}_{2} \rightarrow \boldsymbol{C C l}_{3} \boldsymbol{C H O}+ \)
\( \boldsymbol{H} \boldsymbol{C l} \)
iii) \( C H_{4}+C l \stackrel{h v}{\longrightarrow} C H_{3} C l+H C l \)
The correct answer is :
A. (i) only
B. (ii) only
c. (i) and (iii)
D. (i), (ii) and (iii)
Subject: Physics
A parallel plate capacitor with plate area A and separation between the
plates \( d, \) is charged by a constant
current \( i . \) Consider a plane surface of area \( \frac{\boldsymbol{A}}{\mathbf{2}} \) parallel to the plate and down symmetrically between the plates. Find the displacement current through this
area.
A \( \cdot i_{d}=\frac{i}{8} \)
B. \( i_{d}=\frac{i}{2} \)
\( \mathbf{c} \cdot_{i_{d}=\frac{i}{3}} \)
D \( i_{d}=\frac{i}{4} \)
Subject: Chemistry
Which of the following options represents the correct bond order?
A \( \cdot O_{2}^{-}>O_{2}<O_{2}^{+} \)
В \( \cdot O_{2}^{-}<O_{2}>O_{2}^{+} \)
\( \mathrm{c} \cdot O_{2}^{-}>O_{2}>\mathrm{O}_{2}^{+} \)
D. \( O_{2}^{-}<O_{2}<O_{2}^{+} \)
Subject: Physics
The effective capacitance between \( \mathrm{P} \) and
Q of the figure below is :
\( C_{1}=C_{3}=C_{4}=C_{5}=10 \mu F \)
\( C_{2}=100 \mu F \)
A \( .10 \mu F \)
B. \( 40 \mu F \)
\( c .5 \mu F \)
D. \( 20 \mu F \)
Subject: Physics
A circular loop of radius R carrying a current lis placed in a uniform magnetic field B perpendicular to the
loop. The force on the loop is:
A \( .2 \pi R I B \)
В. \( 2 \pi R I^{2} B^{3} \)
\( \mathbf{c} \cdot \pi R^{2} I B \)
D. zero
Subject: Biology
The chemical formula of starch is
A \( \cdot\left(C_{6} H_{10} O_{5}\right)_{n} \)
в. \( \left(C_{6} H_{12} O_{6}\right)_{n} \)
c. \( C_{12} H_{22} O_{11} \)
D. \( C H_{3} \) СООН
Subject: Chemistry
Which of the following is not a
spontaneous reaction \( i e, \) has
equilibrium constant \( (K) \) less than
one?
This question has multiple correct options
\( A \)
\[
\mathrm{CH}_{3}-\mathrm{C}=\mathrm{CH}+\mathrm{CH}_{3} \mathrm{Li} \rightleftharpoons \mathrm{CH}_{3}-\mathrm{C}=\mathrm{CLi}+\mathrm{CH}_{4}
\]
в.
\[
\begin{array}{l}
\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{CH}+\mathrm{CH}_{3} \mathrm{CH}_{3} \mathrm{ONa}= \\
\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{CNa}+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}
\end{array}
\]
\( c \)
\[
\mathrm{CH}_{3} \mathrm{COOH}+\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{CNa} \rightleftharpoons
\]
\[
\mathrm{CH}_{3} \mathrm{COONa}+\mathrm{CH}_{3}-\mathrm{C}=\mathrm{CH}
\]
\( D \)
\[
\begin{array}{l}
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CH}_{2}+\mathrm{CH}_{3}-\mathrm{C}=\mathrm{CNa} \rightleftharpoons \\
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CHNa}+\mathrm{CH}_{3}-\mathrm{C}=\mathrm{CH}
\end{array}
\]
Subject: Physics
A right angles prism \( \left(45^{\circ}, 90^{\circ}, 45^{\circ}\right) \) of refractive index \( n \) has a plate of
refractive index \( \left(n_{1}<n\right) \) cemented to
its diagonal face. The assembly is in air. A ray is incident on \( \mathrm{AB} \)

If the angle of incidence at \( A B \) for which the ray strikes the diagonal face at the
critical angle is \( X \) in degrees. Find \( X ? \)
Subject: Biology
What are the differences between
inherited and acquired characters?
A. Inherited characters- characters that are passed on from parents to offspring. Acquired characters- characters appearing in an individual's lifetime but cannot be transmitted to next
generation.
B. Inherited characters- characters appearing in an individual's lifetime but cannot be transmitted to next
generation. Acquired characters- characters that are passed on from parents to offspring.
C. Inherited characters- characters that are passed on from offspring to parents. Acquired characters- characters appearing in an individual's lifetime but cannot be transmitted to next generation.
D. Inherited characters- characters that are passed on from offspring to parents. Acquired characters- characters appearing in an individual's lifetime and can be transmitted to next
generation.
Subject: Physics
Assertion
The Sl unit of weight is newton.
Reason
Weight is the force of gravity with which
a body is attracted towards the earth.
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
Among ( A or B ) which follows a \( \boldsymbol{S} \boldsymbol{N}_{\mathbf{1}} \)
mechanism?
A. \( \left(C H_{3}\right)_{3} C C l \) or
B. \( \boldsymbol{C H}_{3} \boldsymbol{C l} \)
[Give your answer in terms of A or B]
Subject: Maths
If \( \int \frac{(x+1)}{x\left(1+x e^{x}\right)^{2}} d x=\log |1-f(x)|+ \)
\( f(x)+C, \) then \( f(x)= \)
A. \( \frac{1}{x+e^{x}} \)
B. \( \frac{1}{1+x e^{x}} \)
c. \( \frac{1}{\left(1+x e^{x}\right)^{2}} \)
D. \( \frac{1}{\left(x+e^{x}\right)^{2}} \)
Subject: Physics
The magnetic induction due to short bar magnet on its axial line at a
distance ' \( d \) ' is ' \( B \) '. What is the magnetic
induction due to the same bar magnet
on the same line at a distance
(a) \( d / 4 ? \)
(b) \( 4 d / 5 ? \)
(b) \( 125 / 64 B \)
в. (а) \( 64 B \)
(b) \( 125 / 64 B \)
c. (a) \( 32 B \)
(b) \( 125 / 32 B \)
D. (a) \( 64 B \)
(b) \( 125 / 32 B \)
Subject: Chemistry
A gas undergoes physical adsorption on a surface and follows the given
Freundlich adsorption isotherm equation: \( \frac{x}{m}=k p^{0.5} \)
Adsorption of the gas increases with:
A. decrease in p and decrease in \( T \)
B. increase in p and increase in \( T \)
c. increase in p and decrease in \( T \)
D. decrease in p and increase in \( T \)
Subject: Chemistry
The first emission line in the atomic
spectrum of hydrogen in the Balmer series appears at:
A \( \cdot \frac{9 R}{400} c m^{-1} \)
B. \( \frac{7 R}{144} \mathrm{cm}^{-1} \)
\( ^{\mathrm{C}} \cdot \frac{3 R}{4} c m^{-1} \)
D. \( \frac{5 R}{36} c m^{-1} \)
Subject: Chemistry
In aqueous solution, the ionization
constants for carbonic acid \( \left(\boldsymbol{H}_{2} \boldsymbol{C O}_{3}\right) \)
\( \operatorname{are} \mathbf{K}_{\mathbf{1}}=\mathbf{4} . \mathbf{2} \times \mathbf{1 0}^{-\mathbf{7}} \) and \( \mathbf{K}_{\mathbf{2}}=\mathbf{4 . 8} \times \)
\( 10^{-11} . \) Select the correct statement for a
saturated \( 0.034 \mathrm{M} \) solution of the
carbonic acid.
A. The concentration of \( \mathrm{CO}_{3}^{2-} \) is \( 0.034 \mathrm{M} \)
B. The concentration of \( \mathrm{CO}_{3}^{2-} \) is greater than that of \( \mathrm{HCO}_{3}^{-} \)
C. The concentration of \( \mathrm{H}^{+} \) and \( \mathrm{HCO}_{3}^{-} \) are approximately equal
D. The concentration of \( \mathrm{H}^{+} \) is double that of \( \mathrm{CO}_{3}^{2-} \)
Subject: Physics
A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line
with the same velocity. lithe impulse experienced by the wall is \( 0.54 \mathrm{N} \) -s, the velocity of the ball is
A \( \cdot 27 m s^{-1} \)
B . \( 2.7 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 54 \mathrm{ms}^{-1} \)
D. \( 37 m s^{-1} \)
E . \( 5.4 \mathrm{ms}^{-1} \)
Subject: Physics
A particle executes SHM given by the equation \( x=5 \sin (3.14 t), x \) is measured in mms. The time period and the amplitude of the oscillations are
A. The amplitude is \( 5 \mathrm{cms} \) and time period is 1 sec
B. The amplitude is 5 \( \mathrm{mms} \) and time period is \( 1 \mathrm{sec} \)
c. The amplitude is \( 5 \mathrm{mms} \) and time period is 3.142 seo
D. The amplitude is \( 5 \mathrm{cms} \) and time period is 3.142 sec
Subject: Physics
An alternating voltage \( \boldsymbol{E}= \) \( 200 \sqrt{2} \sin (100 t) \) is connected to 1
microfarad capacitor through \( A C \) ammeter. The reading of ammeter shall be
\( A \cdot 10 m A \)
B. \( 20 \mathrm{mA} \)
c. \( 40 \mathrm{mA} \)
D. \( 80 \mathrm{mA} \)
Subject: Physics
Assertion
Specific heat of a body is always greater than its thermal capacity.
Reason
Thermal capacity is the heat required for raising temperature of unit mass of the body through unit degree.
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
In Thomson experiment of finding \( \frac{e}{m} \)
for electrons, beam of electrons is
replaced by that of muons (particle with same charge as of electrons but mass 208 times that of electrons).

No deflection condition in this is case
satisfied, if :
A. B is increased 208 times
B. E is increased 208 times
c. \( B \) is increased 14.4 times
D. None of the above
Subject: Chemistry
Calculate the enthalpy of formation of
\( \operatorname{acetic} \operatorname{acid}\left(C H_{3} C O O H\right) \) if its
enthalpy of combustion is
\( -867 k J m o l^{-1} . \) The enthalpies of
formation of \( \boldsymbol{C O}_{2}(\boldsymbol{g}) \) and \( \boldsymbol{H}_{2} \boldsymbol{O}(l) \) are
-393.5 and \( -285.9 k J m o l^{-1} \)
respectively.
Subject: Physics
The splash of sound was heard \( 5.35 s \)
after dropping a stone into a well
122.5m deep. The velocity of sound in
air is:
A. \( 350 \mathrm{cm} / \mathrm{s} \)
в. \( 350 m / s \)
c. 392 cm \( / \) s
D. \( 0 \mathrm{cm} / \mathrm{s} \)
Subject: Physics
A body slides down a rough inclined
plane of inclination \( \theta \) with constant
velocity \( v \). If it is projected up the plane with velocity \( 2 v, \) then it moves up the
plane with
A. constant velocity
B. retardation g \( \sin \theta \)
c. retardation \( 2 \mathrm{g} \sin \theta \)
D. acceleration g sin \( \theta \)
Subject: Maths
The direction ratios of the line \( \boldsymbol{x}-\boldsymbol{y}+ \)
\( z-5=0=x-3 y-6 \) are
A. 3,1,-2
в. 2,-4,1
c. \( \frac{3}{\sqrt{14}}, \frac{1}{\sqrt{14}}, \frac{-2}{\sqrt{14}} \)
D. \( \frac{2}{\sqrt{14}}, \frac{-4}{\sqrt{14}}, \frac{1}{\sqrt{14}} \)
Subject: Chemistry
In a certain reaction, \( 10 \% \) of the reactant
decomposes in one hour, \( 20 \% \) in two hours, \( 30 \% \) in three hours, and so on.
The dimension of the velocity constant (rate constant) is:
\( \mathbf{A} \cdot H r^{-1} \)
B. \( \operatorname{Mol} L^{-1} h r^{-1} \)
c. \( L m o l^{-1} s^{-1} \)
D. Mols"
Subject: Physics
A lift is moving down with acceleration
\( a . A \) man in the lift drops a ball inside
the lift. The acceleration of the ball as
observed by the man in the lift and a man standing stationary on the ground are respectively.
A \( \cdot g, g \)
в. \( g-a, g-a \)
\( \mathbf{c} . g-a, g \)
D. \( a, g \)
Subject: Maths
Area enclosed by curves \( y=2^{x} \) and
\( \boldsymbol{y}=|\boldsymbol{x}+\mathbf{1}| \) in the first quadrant is?
A \( \cdot \frac{1}{2}-\frac{1}{\log 2} \)
B. \( \frac{3}{2}-\frac{1}{2 \log 2} \)
c. \( \frac{3}{2}-\frac{1}{\log 2} \)
D. \( \frac{1}{2}+\frac{3}{\log 2} \)
Subject: Maths
\( \left|\begin{array}{ccc}\boldsymbol{x}^{\boldsymbol{n}} & \boldsymbol{x}^{\boldsymbol{n}+\mathbf{2}} & \boldsymbol{x}^{\boldsymbol{n}+\mathbf{3}} \\ \boldsymbol{y}^{\boldsymbol{n}} & \boldsymbol{y}^{\boldsymbol{n}+\mathbf{2}} & \boldsymbol{y}^{\boldsymbol{n}+\boldsymbol{3}} \\ \boldsymbol{z}^{\boldsymbol{n}} & \boldsymbol{z}^{\boldsymbol{n}+\mathbf{2}} & \boldsymbol{z}^{\boldsymbol{n}+\mathbf{3}}\end{array}\right|=(\boldsymbol{x}-\boldsymbol{y})(\boldsymbol{y}- \)
\( (z-x)\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right), \) then the value
of \( n \) is
\( A \)
B. -
\( c \cdot 1 \)
\( D \)
Subject: Maths
\( \cos ^{-1}\left(\frac{3+5 \cos x}{5+3 \cos x}\right)= \)
A \( \cdot \tan ^{-1}\left(\frac{1}{2} \tan \frac{x}{2}\right) \)
B \( \cdot 2 \tan ^{-1}\left(-\frac{1}{2} \tan \frac{x}{2}\right) \)
c. \( \frac{1}{2} \tan ^{-1}\left(2 \tan \frac{x}{2}\right) \)
D. \( 2 \tan ^{-1}\left(\frac{1}{2} \tan \frac{x}{2}\right) \)
Subject: Maths
A line passes through the points whose position vectors are \( \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}-2 \hat{\boldsymbol{k}} \) and \( \hat{\boldsymbol{i}}- \)
\( 3 \hat{j}+\hat{k} . \) The position vector of a point on it at unit distance from the first point
is
Subject: Maths
\( f f(x)=\left|\begin{array}{ccc}\sin x & 1 & 0 \\ 1 & 2 \sin x & 1 \\ 0 & 1 & 2 \sin x\end{array}\right| \) then
\( \int_{-\pi / 2}^{\pi / 2} f(x) d x \) equals to
\( A \)
B.
\( c \)
D. \( \frac{3 \pi}{2} \)
Subject: Maths
Let \( f(x) \) be a derivable function,
\( f^{\prime}(x)>f(x) \) and \( f(0)=0 . \) Then?
A. \( f(x)>0 \) for all \( x>0 \)
B. \( f(x)<0 \) for all \( x>0 \)
c. No sign of \( f(x) \) can be ascertained
D. \( f(x) \) is a constant function
Subject: Physics
A spring accelerates a \( 2 k g \) cart from
rest in a time of .8 seconds, giving it a momentum of \( 4 k g m / s \$ . \) With what
force did the spring accelerate the cart?
\( A \ldots 5 N \)
в. 1.6 N
c. \( 3.2 N \)
D. \( 5 N \)
\( E \cdot 8 N \)
Subject: Maths
Show that the function \( \boldsymbol{f}: \mathbb{R} \rightarrow \)
\( \{x \in \mathbb{R}:-1<x<1\} \) defined by
\( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}}{\mathbf{1}+|\boldsymbol{x}|}, \boldsymbol{x} \in \mathbb{R} \)
is one to one and onto function.
Subject: Chemistry
\( \mathbf{2} \boldsymbol{S} \boldsymbol{n}^{2+} \rightarrow \boldsymbol{S} \boldsymbol{n}^{4+}+\boldsymbol{S} \boldsymbol{n} \)
This reaction is an example of:
A. Comproportionation reaction
B. Disproportionation reaction
c. Decomposition reaction
D. Neutralisation
Subject: Chemistry
Out of given reaction which show
change in hybridisation of central
atom?
This question has multiple correct options
\( \mathbf{A} \cdot H_{3} B O_{3} \) dissolve in water
B. \( H_{2} S O_{4} \) dissolve in water
\( \mathbf{C} \cdot N_{2} O_{5(g)} \rightarrow N_{2} O_{5(s)} \)
D. \( P B r_{5(g)} \rightarrow P B r_{5(s)} \)
E \( \cdot C_{2} H_{6} \frac{\text { Homolytic }}{\text { bond cleavage of } C-C \text { bond }} \)
Subject: Physics
The distance \( x \) covered by a body
moving in a straight line in \( t \) is given by
the relation \( 2 x^{2}+3 x=t . \) If \( v \) is the
velocity of the body at a certain of time, its acceleration will be :
A \( .-v^{3} \)
B. \( -2 v^{3} \)
c. \( -3 v^{3} \)
D. \( -4 v^{3} \)
Subject: Chemistry
Consider the following statements.
I. Atomic hydrogen is obtained by passing hydrogen through an electric
arc.
Il. Hydrogen gas will not reduce heated aluminium oxide.
III. Finely divided palladium absorbs large volume of hydrogen gas.
Which of the above statement(s) is(are)
correct:
A. I alone
B. ॥ alone
c. I, Il and III
D. II, III
E. None of these
Subject: Maths
Suppose \( n(\geq 3) \) persons are sitting in row. Two of them are selected at
random. The probability that they are not together is
A \( \cdot 1-\frac{2}{n} \)
в. \( \frac{2}{n-1} \)
c. \( _{1-\frac{1}{n}} \)
D. None of these
Subject: Physics
Three badies \( A, B \) and \( C \) having masses \( 10 k g, 5 k g \) and \( 15 k g \) representively are projected from top of a tower with \( A \) vertically upwards with
\( \mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}, \boldsymbol{B} \) with \( \mathbf{2 0} \boldsymbol{m} / \boldsymbol{s} \mathbf{5 3}^{\boldsymbol{o}} \) above east
horizontal and \( C \) horizontally southward
with \( 15 ~ m / s . \) Find
(a) Velocity of centre of mass of the
systrem.
Subject: Chemistry
Which of the following molecules have zero dipole moment and tetrahedral
structure ?
This question has multiple correct options
A \( \cdot C C l_{4} \)
в. \( \operatorname{SnCl}_{2} \)
\( \mathrm{c} \cdot \operatorname{Sn} C l_{4} \)
D. \( C O_{2} \)
Subject: Physics
Calculate the amount of heat energy
required to raise the temperature of 1
kg of iron from \( 20^{\circ} C \) to \( 100^{\circ} \) C. \( c= \) \( 483 J k g^{-1} K^{-1} \)
A. 35674
B. 48266 J
c. \( 38640 \mathrm{J} \)
D. 56446 J
Subject: Chemistry
In which of the following pairs are both the ions coloured in aqueous solution?
[At. No. \( : S c=21, T i=22, N i= \)
\( \mathbf{2 8}, \boldsymbol{C u}=\mathbf{2 9}, \boldsymbol{C o}=\mathbf{2 7}] \)
A \( \cdot N i^{2+}, T i^{3+} \)
B. \( S c^{3+}, T i^{3+} \)
\( \mathbf{c} \cdot S c^{3+}, C o^{2+} \)
D. \( N i^{2+}, C u^{+} \)
Subject: Chemistry
Statement 1: Paradichlorobenzene has
higher melting point and solubility than that of ortho and meta forms.
Statement
2: Para isomer has
symmetrical structure and can easily pack closely in crystal structure.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is correct explanation for Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not correct explanation for Statement
c. statement 1 is correct and statement 2 is wrong
D. Statement 1 is wrong and statement 2 is correct.
Subject: Physics
Multiple Correct Answers Type:
Two bodies of masses \( m_{1} \) and \( m_{2} \) are
dropped from heights \( h_{1} \) and \( h_{2} \) respectively. They reach the ground
after time \( t_{1} \) and \( t_{2} \) and strike the
ground with \( v_{1} \) and \( v_{2}, \) respectively.
Choose the correct relations from the
following. This question has multiple correct options
A \( \cdot \frac{t_{1}}{t_{2}}=\sqrt{\frac{h_{1}}{h_{2}}} \)
B. \( \frac{t_{1}}{t_{2}}=\sqrt{\frac{h_{2}}{h_{1}}} \)
c. \( \frac{v_{1}}{v_{2}}=\sqrt{\frac{h_{1}}{h_{2}}} \)
D. \( \frac{v_{1}}{v_{2}}=\frac{h_{2}}{h_{1}} \)
Subject: Physics
An alternating voltage \( \boldsymbol{V}=\boldsymbol{V}_{0} \sin \omega \boldsymbol{t} \) is
applied across a circuit and as a result, a current \( \boldsymbol{I}=\boldsymbol{I}_{0} \sin \left(\boldsymbol{\omega} \boldsymbol{t}+\frac{\boldsymbol{\pi}}{2}\right) \) flows in it
The power consumed per cycle is
A . \( I_{0} V_{0} \)
в. \( 0.5 I_{0} V_{0} \)
c. \( 0.7 I_{0} V_{0} \)
D. \( 1.41 I_{0} V_{0} \)
\( E . \)
Subject: Maths
If \( \alpha \) is a repeated root of \( a x^{2}+b x+ \)
\( \mathbf{c}=\mathbf{0} \operatorname{then} \lim _{x \rightarrow \boldsymbol{\alpha}} \frac{\tan \left(\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}\right)}{(\boldsymbol{x}-\boldsymbol{\alpha})^{2}}= \)
\( A \)
B.
\( c \)
D.
Subject: Chemistry
The IUPAC name of the given compound
is :
A. \( 4- \) ethyl \( -3- \) propylehex -1 -ene
B. \( 3- \) ethyl -4 -ethenylheptane
c. \( 3- \) ethyl- \( 4- \) propylehex \( -5- \) ene
D. 3 -ethyl(1-propyl)hex-1-ene
Subject: Chemistry
For the reaction: \( \boldsymbol{P} \boldsymbol{C l} \boldsymbol{l}_{5}(\boldsymbol{g}) \rightarrow \boldsymbol{P} \boldsymbol{C l}_{3}(\boldsymbol{g})+ \)
\( \boldsymbol{C l}_{2}(\boldsymbol{g}) \)
\( \mathbf{A} \cdot \Delta H=\Delta E \)
B. \( \Delta H>\Delta E \)
c. \( \Delta H<\Delta E \)
D. Can't predicted
Subject: Maths
The distance between a pair of parallel \( \operatorname{lines} 9 x^{2}-24 x y+16 y^{2}-12 x+ \)
\( \mathbf{1 6} \boldsymbol{y}-\mathbf{1 2}=\mathbf{0} \)
A . 5
B. 8
\( c \cdot 8 / 5 \)
D. \( 5 / 8 \)
Subject: Physics
In the given circuit (fig), all the symbols
have their usual meanings. At \( t=0, \) key
Kis closed. Now answer the following
questions. At \( t \rightarrow \infty, \) the equivalent
resistance between \( A \) and \( B \) is :
\( \mathbf{A} \cdot R_{1}+R_{2}+R_{3} \)
B. \( R_{1}+R_{2} \)
\( \mathbf{c} \cdot R_{1}+R_{3} \)
D. None of the above
Subject: Maths
Two vectors \( \vec{A} \) and \( \vec{B} \) of magnitude 2
units and 1 unit, respectively are directed along the \( x \) -axis and \( y \) axis. Their resultant \( \vec{A}+\vec{B} \) is directed
along the line:
A. \( y-2 x=0 \)
в. \( 2 y-x=0 \)
c. \( y+x=0 \)
D. \( y-x=0 \)
Subject: Physics
A cell of emf \( 1.5 \% \) and internal
resistance \( 0.5 \Omega \) is connected to a
conductor whose \( V-I \) graph is an
shown in the figure. Then, the terminal
voltage of the cell is
\( \mathbf{A} \cdot 0.75 V \)
в. \( 1.0 V \)
c. \( 1.25 V \)
D. \( 1.5 V \)
Subject: Maths
If the eccentricities of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) and \( \frac{y^{2}}{b^{2}}-\frac{x^{2}}{a^{2}}=1 \) be \( e \) and
\( e_{1}, \) then \( \frac{1}{e^{2}}+\frac{1}{e_{1}^{2}}= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. None of these
Subject: Chemistry
The order of reactivity of alcohols towards hydrogen halide is :
A \( \cdot \) benzyl\( >3^{0}>2^{0}>1^{0} \)
В. \( 3^{0}> \) benzyl \( >2^{0}>1^{0} \)
c. \( 3^{0}>2^{0}>1^{0}> \) benzyl
D. \( 3^{0}>2^{0}> \) benz \( y l>1^{0} \)
Subject: Physics
The resistance of a conductor at \( 20^{\circ} \mathrm{C} \) is
3.15 ohm and at \( 100^{\circ} \mathrm{C} \) is 3.75 ohm.
Determine the temperature co-efficient of resistance of the conductor. What will
be the resistance of the conductor at 0
\( ^{o} C ? \)
Subject: Physics
A wire lying along y-axis from \( y=0 \) to \( y=1 \) m carries a current of \( 2 \mathrm{mA} \) in the
negative y-direction.The wire lies in a non-uniform magnetic field given by \( \vec{B}=(0.3 T / m) y \hat{i}+(0.4 T m) y \hat{j} . \) The
magnetic force on the entire wire is
A \( \cdot-3 \times 10^{-4} \hat{j} N \)
В. \( 6 \times 10^{-3} \hat{k} N \)
c. \( -3 \times 10^{-4} \hat{k} N \)
D. \( 3 \times 10^{-4} \hat{k} N \)
Subject: Maths
\( \cos ^{2} 10^{\circ}+\cos ^{2} 50^{\circ}-\cos 10^{\circ} \cos 50^{\circ} \) is
equal to?
A \( \cdot \frac{3}{2} \)
B. \( \frac{3}{4} \)
c. \( \frac{3}{2}\left(\cos 20^{\circ}+1\right) \)
D. \( \frac{3}{4}\left(\cos 20^{\circ}+1\right) \)
Subject: Physics
Assertion
f some ferromagnetic substance is filled inside a soleniod, its coeffecient of
self-induction \( L \) will increase.
Reason
By increasing the current in a coil its coefficient of self induction \( L \) can be
increased.
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: Maths
For \( k=1,2,3 \) the box \( B_{k} \) contains \( k \) red
balls and \( (k+1) \) white balls, let
\( P\left(B_{1}\right)=\frac{1}{2}, P\left(B_{2}\right)=1 \) and \( P\left(B_{3}\right)= \)
\( \frac{1}{6} \cdot A \) box is selected at random and \( a \) ball is drawn from it. If a red ball is
drawn, then the probability that it has
come from box \( B_{2} \) is
A \( \cdot \frac{35}{78} \)
в. \( \frac{14}{39} \)
c. \( \frac{10}{13} \)
D. \( \frac{12}{13} \)
Subject: Physics
Young's modulus of the material of a wire is \( Y \). If it is under a stress \( S \), the
energy stored per unit volume is given
by:
A \( \cdot \frac{1}{2} \frac{S}{Y} \)
в. \( \frac{1}{2} \frac{S^{2}}{Y} \)
c. \( \frac{1}{2} \frac{s}{Y^{2}} \)
D. \( \frac{1}{2} \frac{S^{2}}{Y^{2}} \)
Subject: Physics
In a harbor, wind is blowing at the speed of \( 72 \mathrm{km} / \mathrm{h} \) and the flag on the mast of a boat anchored in the harbor flutters
along the N-E direction. If the boat starts moving at as speed of \( 51 \mathrm{km} / \mathrm{h} \) to the north, what is the direction of the
flag on the mast of the boat?
Subject: Chemistry
Which of the following is incorrect?
A. Among \( C l, A r \) and \( K, K \) has the smallest ionization potential.
B. Among \( C H_{4}, N H_{3} \), and \( H F, H F \) has the highest boiling point
C. Among \( C l_{2}, B r_{2}, \) and \( l_{2}, B r_{2} \) has the lowest boiling point.
D. None of the above.
Subject: Maths
The reflection of the point \( P(1,0,0) \) in the İine \( \frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+10}{8} \) is
A \( \cdot(3,-4,-2) \)
B \( \cdot(5,-8,-4) \)
c. (1,-1,-10)
D. (2,-3,8)
Subject: Chemistry
\( C l_{2} \) behaves as a bleaching agent like
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{3}\left(\mathbf{a q} \cdot \boldsymbol{S} \boldsymbol{O}_{2}\right) \)
If true enter 1 , else enter 0 .