AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If at any instant of time the
displacement of a harmonic oscillator is \( 0.02 \mathrm{m} \) and its acceleration is \( 2 \mathrm{ms}^{-2} \)
its angular frequency at that instant will be
A. \( 0.1 \mathrm{rads}^{-1} \)
B. \( 1 \mathrm{rads}^{-1} \)
\( \mathbf{c} \cdot 10 \mathrm{rads}^{-1} \)
D. \( 100 \mathrm{rads}^{-1} \)
Subject: Chemistry
A hydrated colorless solid (A) is water
soluble and finds use in medicine as a
purgative. When a solution of (A) is treated with ammonium phosphate, a white precipitate is formed. (A) gives a pink mass in cobalt nitrate cavity test What is \( (A) ? \)
A \( . F e S O_{4} .7 H_{2} \)
в. \( N a_{2} S O_{4} .10 H_{2} \)
c. \( M g S O_{4} .7 H_{2} O \)
D. \( \operatorname{CaSO}_{4} .2 \mathrm{H}_{2} \)
Subject: Maths
A line passing through \( \mathbf{P}(-2,3) \) meets the axes in \( A \) and \( B \). If \( P \) divides \( A B \) in
the ratio of 3: 4 then the perpendicular
distance from (1,1) to the line is
A \( \cdot \frac{9}{\sqrt{5}} \)
B. \( \frac{7}{\sqrt{5}} \)
c. \( \frac{8}{\sqrt{5}} \)
D. \( \frac{6}{\sqrt{5}} \)
Subject: Physics
A wire \( 28 \mathrm{m} \) long is bent into \( \mathrm{N} \) turns of circular coil of diameter \( 14 \mathrm{cm} \) forming a solenoid of length \( 60 \mathrm{cm} \). Calculate the magnetic field inside it when a current of 5 amp passed through it. \( \left(\mu_{0}=12.57 \times 10^{-7} m^{-1}\right) \)
A \( \cdot 6.67 \times 10^{-1} T \)
\( T \)
в. \( 6.67 \times 10^{-4} T \)
c. \( 6.67 \times 10^{4} T \)
D. \( 2.67 \times 10^{-4} T \)
Subject: Physics
Without any stoppage a person travels a certain distance at an average speed of \( 42 \mathrm{km} / \mathrm{hr} \), and with stoppages he covers the same distance at an average speed of \( 28 \mathrm{km} / \mathrm{hr} \). How many minutes per hour does he stop?
A. 14 minutes
B. 15 minutes
c. 28 minutes
D. 20 minutes
Subject: Maths
Find the radian measure corresponding
to the degree \( -47^{\circ} 30^{\prime} \)
A \( \cdot \frac{-19 \pi}{72} r a d \)
В \( \cdot \frac{19 \pi}{72} r a d \)
c. \( \frac{13 \pi}{72} \) rad
D. None of these
Subject: Chemistry
What is the formula of the compound
cesium trichlorofluoro iodate(III)?
\( \mathbf{A} \cdot\left[\operatorname{Cr}\left(N H_{3}\right)_{5} C l\right] S O_{4} \)
\( \mathbf{B} \cdot \operatorname{Cs}\left[I C l_{3} F\right] \)
\( \mathbf{c} \cdot \operatorname{Cs}\left[I C l_{2} F\right] \)
D. None of the above
Subject: Physics
The diameter of a wire as measured by
a screw gauge was found to be \( 1.002 \mathrm{cm}, 1.004 \mathrm{cm} \) and \( 1.006 \mathrm{cm} . \) The
absolute error in the third reading is:
A \( .0 .002 \mathrm{cm} \)
B. \( 0.004 \mathrm{cm} \)
c. zero
D. \( 1.002 \mathrm{cm} \)
Subject: Chemistry
An ideal gas is allowed to expand from
\( 5 L \) to \( 15 L \) once rapidly and once very slowly. The magnitude of work done in
two processes are \( W_{1} \) and \( W_{2} \), they are
related as:
A. \( W_{1}=W_{2} \)
в. \( W_{1}>W_{2} \)
c. \( W_{1}<W_{2} \)
D. data is insufficient
Subject: Maths
The following distribution gives the mass of 48 objects measured to the nearest gram. Draw a histogram to illustrate the data.
\( \begin{array}{llll}\text { Mass } & \mathbf{1 0}- & \mathbf{2 0}- & \mathbf{2 5}- \\ \text { in } & \mathbf{1 9} & \mathbf{2 4} & \mathbf{3 4}\end{array} \)
\( (g m s) \)
No. o objects
Subject: Chemistry
The strongest base among the following
is:
A. \( C_{6} H_{5} N H_{2} \)
B . \( p-N H_{2} C_{6} H_{4} N H_{2} \)
\( \mathrm{c} \cdot m-N O_{2} C_{6} H_{4} N H_{2} \)
D. \( C_{6} H_{5} C H_{2} N H_{2} \)
Subject: Biology
In plants, micronutrients are those
which are needed less than or equal to the following amount per gram of dry matter is
A . \( 0.1 \mathrm{mg} \)
B. \( 0.1 \mathrm{g} \)
c. \( 0.1 \mu \mathrm{g} \)
D. \( 1 \mu g \)
Subject: Maths
\( A(0,0) \) and \( B(8,2) \) are fixed points on the curve \( y^{3}=|x| . \) A point \( C \) starts
moving from origin along the curve for \( x<0 \) such that rate of change in the
ordinate is \( 2 \mathrm{cm} / \mathrm{s} \). After \( t_{0} \) seconds
triangle \( A B C \) become a right
triangle. After \( t_{0} \) seconds, tangent is
drawn to the curve at point \( C \) to
intersect it again at \( (\boldsymbol{\alpha}, \boldsymbol{\beta}) \) then \( \mathbf{4} \boldsymbol{\alpha}+ \)
\( \mathbf{3} \boldsymbol{\beta} \) is
A \( \cdot \frac{4}{3} \)
B. \( \frac{3}{4} \)
\( c \cdot 2 \)
\( D \)
Subject: Chemistry
Assertion: The boiling point of \( \boldsymbol{H}_{2} \boldsymbol{O} \) is higher than the boiling point of \( \boldsymbol{H}_{2} \boldsymbol{S} \).
Reason: \( \boldsymbol{H}_{2} \boldsymbol{S} \) has a greater molecular
mass than \( \boldsymbol{H}_{2} \boldsymbol{O} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct and Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is not correct
D. Assertion is not correct but Reason is correct
E. Both the Assertion and Reason are not correct
Subject: Chemistry
Assertion
Low level of noradrenaline causes
depression.
Reason
Equanil is used in controlling
depression.
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
If \( g \) is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass \( \mathrm{m} \) raised from the surface of the earth to a
height equal to the radius \( \mathrm{R} \) of the earth, is:
\( \mathbf{A} \cdot 2 \mathrm{mgR} \)
в. \( \frac{1}{2} \mathrm{mgR} \)
c. \( \frac{1}{4} \mathrm{mgR} \)
D. mgn
Subject: Physics
A particle of charge \( +q \) is at distance \( r \)
away from a charged flat surface and experiences a force of magnitude \( \boldsymbol{F} \) pulling it toward the surface. Find out the magnitude of the force exerted on the same particle if it is at a distance
\( 2 r \) from the surface?
A. \( (1 / 8) F \)
в. \( (1 / 4) F \)
c \( \cdot(1 / 2) F \)
D. \( F \)
E . \( 2 F \)
Subject: Maths
Find \( \boldsymbol{f}^{\prime}(\mathbf{0}) \) for \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x} \sqrt{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}}+ \)
\( \boldsymbol{a}^{2} \log (\boldsymbol{x}+\sqrt{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}}) \)
A . - 2a
B. 2a
\( c \cdot-a \)
\( D \)
Subject: Physics
A conducting circular loop is placed in a uniform magnetic field \( B=0.020 T \)
with its plane perpendicular to the field. Somehow, the radius of the loop starts
shrinking at a constant rate of \( 1 \mathrm{mm} / \mathrm{s} \) Find the induced current in the loop at
an instant when the radius is \( 2 \mathrm{cm} \)
Subject: Maths
Mr. Philip invests an amount of Rs.
12200 at the rate of 2 p.c.p.a.for 4 years to obtain a simple interest. Later he invests the principal amount as well as the amount obtained as simple interest
for another 3 years at the same rate of interest. What amount of simple interest will he obtain at the end of the
last 3 years?
A . 1185.84
B. 1285.84
c. 1385.84
D. 1485.84
Subject: Chemistry
The choices below are some of the
proposed steps of a reaction mechanism.
Which step is least likely to be the ratedetermining step of the mechanism?
A. \( J+K \rightarrow J K \)
B. \( 2 J K+4 L \rightarrow 2 J L+2 K L \)
c. \( K L+M N \rightarrow K M+M L \)
D. \( 2 K M \rightarrow K_{2}+2 M \)
Subject: Biology
Given below is a list of different steps (i
vi) involved in respiration.
(i) Utilisation of \( O_{2} \) by the cells for catabolic reactions
(ii) Transport of gases by the blood
(iii) Pulmonary ventilation by which
atmospheric air is drawn in and \( C O_{2} \) is released out
(iv) Release of resultant \( C O_{2} \)
(v) Diffusion of \( O_{2} \) and \( C O_{2} \) between
blood and tissues
(vi) Diffusion of gases \( \left(O_{2} \text { and } C O_{2}\right) \)
across alveolar tissues.

Select an option which has correct
sequence of all the steps.
A \( . \) (iii), (vi), (ii), \( (v) \), (i) (ii)
B. (iii), (vi), (i), (v), (ii), (iv)
\( c \cdot(i v),(i i),(v),(i i i),(i),(v i) \)
\( D \cdot(i v),(v i),(i),(v),(i),(\text { iii }) \)
Subject: Physics
toppr \( E \)
Q Type your question.
0
\( A \)
\( \begin{array}{lll}A & B & Y \\ 0 & 0 & 1\end{array} \)
010
101
в. \( A B \cdot Y \)
\( 0 \quad 0 \quad 1 \)
0.11
101
c.
\( A B Y \)
00
011
101
110
D. \( A B Y \)
00.1
011
Subject: Physics
A solid uniform ball having volume \( \boldsymbol{V} \)
and density \( \rho \) floats at the interface of two immiscible liquids as shown in figure. The densities of the upper and
the lower liquids are \( \rho_{1} \) and \( \rho_{2} \)
respectively, such that \( \rho_{1}<\rho<\rho_{2} \)
What fraction of the volume of the ball
will be in the lower liquid :-
\( A \)
B.
c. \( \frac{\rho_{1}-\rho}{\rho_{1}-\rho_{2}} \)
D. \( \frac{\rho_{1}-\rho_{2}}{\rho_{2}} \)
Subject: Physics
A bicycle is resting on its stand in the east-west direction and the rear wheel
is rotated at an angular speed of 50 revolutions per minute. If the length of
each spoke is \( 30.0 \mathrm{cm} \) and the
horizontal component of the earth's
magnetic field is \( 4 \times 10^{-5} T \), find the
emf induced between the axis and the
outer end of a spoke. Neglect centripetal
force acting on the free electrons of the spoke.
Subject: Physics
\( \begin{array}{ll}\text { Table } 1 & \text { Table } 2 \\ \begin{array}{l}\text { (a) If current is } \\ \text { increased }\end{array} & \begin{array}{l}\text { (p) Induced current in } \\ \text { loop is clockwise }\end{array} \\ \begin{array}{l}\text { (b) If current is } \\ \text { decreased }\end{array} & \begin{array}{l}\text { (q) Induced current in } \\ \text { loop is anticlockwise }\end{array} \\ \begin{array}{l}\text { (c) If loop is moved } \\ \text { away from the wire }\end{array} & \begin{array}{l}\text { (r) Wire will attract the } \\ \text { loop }\end{array} \\ \begin{array}{l}\text { (d) If loop is moved } \\ \text { towards the wire }\end{array} & \begin{array}{l}\text { (s) wire will repel the } \\ \text { loop }\end{array}\end{array} \)
A square loop is placed near a long straight current carrying wire as shown, match the following table
1
\( A \cdot a-q, s ; b-p, r ; c-q, s ; d-p, r \)
B. \( a-p, r ; b-q, s ; c-p, r ; d-q, s \)
c. \( a-q, s ; b-p, r ; c-q, r ; d-p, q \)
D. \( a-q, s ; b-p, r ; c-p, r ; d-q, s \)
Subject: Physics
Assertion
For a very near to the earth's surface the time period of revolution is given by \( 1 h \) \( 24 m i n \)
Reason
The period of revolution of a satellite depends only upon its height above the earth's surface
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
\( \int \frac{10 x^{9}+10^{x} \log _{e} 10 d x}{x^{10}+10^{x}} \) equals
A \( \cdot 10^{x}-x^{10}+C \)
B. \( 10^{x}+x^{10}+C \)
c. \( \left(10^{x}-x^{10}\right)^{-1}+C \)
D. \( \log \left(10^{x}+x^{10}\right)+C \)
Subject: Physics
Assertion
(A): Rigidity modulus of a liquid is infinity. Reason (R): For a ductile material yield point and breaking point are separated by larger distance than for brittle materials on the stress-starin curve.
A. Both assertion and reason are true and the reason is correct explanation of the assertion
B. Both assertion and reason are true, but reason is not correct explanation of the assertion
c. Assertion is true, but the reason is false
D. Assertion is false, but the reason is true
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{B r} \frac{\boldsymbol{N H}_{3}}{\text {excess}} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{N H}_{2} \)
f given product is right then, enter 1 else 0.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\cos \boldsymbol{\theta} & -\sin \boldsymbol{\theta} \\ \sin \boldsymbol{\theta} & \cos \boldsymbol{\theta}\end{array}\right], \) then \( \boldsymbol{A}^{\boldsymbol{T}}+ \)
\( \boldsymbol{A}=\boldsymbol{I}_{2}, \) if
B \( \cdot \theta=(2 n+1) \frac{\pi}{2}, n \in Z \)
c. \( \theta=2 n \pi+\frac{\pi}{3}, n \in Z \)
D. none of these
Subject: Maths
If the vector \( O P \) in \( X Y \) plane whose
magnitude is \( \sqrt{3} \) makes an angle \( 60^{\circ} \)
with \( Y- \) axis, the length of the
component of the vector in direction of
\( X- \) axis is :
A . 1
B. \( \sqrt{3} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{3}{2} \)
Subject: Physics
A point charge of \( q \) mass \( m \) is placed at center of a fix ring of charge \( Q \) and radius \( R \) what is the
minimum velocity should be given by \( q \) so they would reach far away from ring.
A \( \cdot \frac{Q q}{5-\sqrt{5}} \)
в. \( \frac{Q q}{\sqrt{5}-1} \)
c. \( \sqrt{\frac{Q q}{2 \varepsilon \varepsilon R m}} \)
D. \( \frac{2 q}{5-\sqrt{5}} \)
Subject: Chemistry
The product(s) formed when \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) reacts with disodium hydrogen
phosphate is:
A \( \cdot P_{2} O_{5} \cdot N a_{3} P O_{4} \)
в. \( N a_{2} H P O_{4} . H_{2} O_{2} \)
c. \( \operatorname{NaH}_{2} P O_{4}, H_{2} O \)
D. \( N a_{2} H P O_{4} \cdot H_{2} O \)
Subject: Maths
The first, second and last terms of an
A.P. are \( \alpha, \beta, \gamma \) respectively then the
sum of first \( n \) terms is
A. \( \beta+\gamma-2 \alpha \)
B. \( \frac{\beta+\gamma-2 \alpha}{\beta-\alpha} \)
C. \( \frac{\beta+\gamma+2 \alpha}{\beta+\alpha} \)
D. \( \frac{(\alpha+\gamma)(\beta+\gamma-2 \alpha)}{2(\beta-\alpha)} \)
Subject: Chemistry
Among the following, the surfactant that will form micelles in aqueous solution at the lowest
molar concentration at ambient
conditions is:
A \( \cdot_{C H_{3}}\left(C H_{2}\right)_{15} N^{+}\left(C H_{3}\right)_{3} B r^{-} \)
B. \( C H_{3}\left(C H_{2}\right)_{11} O S O_{3}-N a^{+} \)
c. \( _{C H_{3}}\left(C H_{2}\right)_{6} \) COO\( ^{-} N a^{+} \)
D. \( C H_{3}\left(C H_{2}\right)_{11} N a^{+}\left(C H_{3}\right)_{3} B r \)
Subject: Physics
A long solenoid of radius \( 2 \mathrm{cm} \) has 100
turns/cm and carries a current of \( 5 A \). A
coil of radius \( 1 \mathrm{cm} \) having 100 turns and a total resistance of \( 20 \Omega \) placed inside the solenoid co-axially. The coil is connected to galvanometer. If current in the solenoid is reversed in direction.
Fine the charge flow through the galvanometer.
A \( \cdot 2 \times 10^{-4} \mathrm{C} \)
B. \( 1 \times 10^{-4} \mathrm{C} \)
c. \( 4 \times 10^{-4} \mathrm{c} \)
D. \( 8 \times 10^{-4} \mathrm{C} \)
Subject: Physics
toppr LOGIN
Q Type your question_
What is \( y \)
support. A uniform magnetic field of
\( 0.4 T \) is directed perpendicular and into
the plane of the spring-rod system. At
\( t=0, \) the rod is released with the
springs extended by \( 20 c m . \) If the spring
constant of each spring is \( 2 N m^{-1} \)
then
This question has multiple correct options
A. the maximum value of emf induced across the rod is \( 64 m V \)
B. the induced emf across the rod is reduced to zero in \( \frac{\pi}{8} \) S after releasing the rod.
C. the induced emf across the rod reaches maximum first time in \( \frac{\pi}{8} \mathrm{S} \) after releasing the rod
D. the maximum value of induced emf is \( 32 m V \)
Subject: Maths
Let \( A \) and \( B \) be two nonsingular square
matrices, \( A^{T} \) and \( B^{T} \) are the transpose
matrices \( A \) and \( B \), respectively, then which of the following are correct? This question has multiple correct options
A \( \cdot \mathrm{B}^{T} \) AB is symmetric matrix if \( \mathrm{A} \) is symmetric
B. B \( ^{T} \) AB is symmetric matrix if \( B \) is symmetric
C. \( \mathrm{B}^{T} \) AB is skew-symmetric matrix for every matrix \( \mathrm{A} \)
D. \( B^{T} \) AB is skew-symmetric matrix if A is skewsymmetric
Subject: Physics
A copper wire of length \( 2.2 \mathrm{m} \) and a steel wire of length \( 1.6 \mathrm{m}, \) both of diameter 3.0 \( \mathrm{mm} \) are connected end to end. When
stretched by a force, the elonation in length \( 0.50 \mathrm{mm} \) is produced in the copper wire. The stretching force is \( \left(Y_{c u}=1.1 \times 10^{11} N / m^{2}, Y_{\text {steel}}=2.0 \times\right. \)
\( \left.\mathbf{1 0}^{\mathbf{1 1}} \mathbf{N} / \boldsymbol{m}^{\mathbf{2}}\right) \)
A \( \cdot 5.4 \times 10^{2} N \)
B . \( 3.6 \times 10^{2} N \)
c. \( 2.4 \times 10^{2} N \)
D. \( 1.8 \times 10^{2} N \)
Subject: Physics
A gun fires a bullet of mass 50 g with a velocity of mass \( 130 \mathrm{ms}^{-1} \). Because of
this, the gun is pushed back with a velocity of \( 1 \mathrm{ms}^{-1} \). The mass of the gun
is :
\( \mathbf{A} \cdot 15 \mathrm{kg} \)
B. 30 kg
c. \( 6.5 \mathrm{kg} \)
D. 20 kg
Subject: Maths
Let \( z \) be a complex number and \( c \) be a
real number \( \geq 1 \) such that \( z+ \)
\( \boldsymbol{c}|\boldsymbol{z}+\mathbf{1}|+\boldsymbol{i}=\mathbf{0}, \) then \( c \) belongs to
A . [2,3]
B. (3,4)
c. \( [1, \sqrt{2}] \)
D. None of these
Subject: Maths
\( \boldsymbol{A}=\left[\begin{array}{cc}\cos \boldsymbol{\theta} & -\sin \boldsymbol{\theta} \\ \sin \boldsymbol{\theta} & \cos \boldsymbol{\theta}\end{array}\right] \) and \( \boldsymbol{A B}=\boldsymbol{B A}= \)
\( I, \) then \( B \) is equal to
\( \mathbf{A} \cdot\left[\begin{array}{cc}-\cos \theta & \sin \theta \\ \sin \theta & \cos \theta\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}-\sin \theta & \cos \theta \\ \cos \theta & \sin \theta\end{array}\right] \)
\( \mathbf{D} \cdot\left[\begin{array}{cc}\sin \theta & -\cos \theta \\ -\cos \theta & \sin \theta\end{array}\right] \)
Subject: Biology
Column - II and choose the correct
option from the following.
\( A \cdot A-3, B-4, C-1, D-5, E-2 \)
B. \( A-2,8-3, C-1, D-5, E-4 \)
\( C \cdot A-3, B-4, C-5, D-1, E-2 \)
\( D \cdot A-4, B-5, C-1, D-2, E-3 \)
\( E \cdot A-3, B-1, C-2, D-4, E-5 \)
Subject: Physics
Steel wire of length ' \( L \) ' at \( 40^{\circ} \mathrm{C} \) is suspended from the ceiling and then a mass ' \( m^{\prime} \) is hung from its free end. The
wire is cooled down from \( 40^{\circ} C \) to \( 30^{\circ} C \)
to regain its original length \( ^{\prime} L^{\prime} . \) The coefficient of linear thermal expansion
of the steel is \( 10^{-5} /^{\circ} C, \) Young's modulus of steel is \( 10^{11} N / m^{2} \) and radius of the wire is \( 1 \mathrm{mm} \). Assume that
\( L>> \) diameter of the wire. Then the
value of ' \( m \) ' in kg is nearly
A . 3
B. 2
\( c .9 \)
D. 5
Subject: Chemistry
A weak acid HA after treatment with 12
mL of 0.1 M strong base has a pH of \( 5 . \) At the end point, the volume of same base
required is \( 26.6 \mathrm{mL} \). The value of \( K_{a} \) is:
A \( .8 .2 \times 10^{-6} \)
B . \( 6.4 \times 10^{-6} \)
\( \mathbf{c} \cdot 5.3 \times 10^{-5} \)
D. \( 2.4 \times 10^{-6} \)
Subject: Chemistry
Consider the reaction \( \boldsymbol{C}_{3} \boldsymbol{H}_{\mathbf{7}}-\boldsymbol{O} \boldsymbol{H}+ \)
\( \boldsymbol{E} \boldsymbol{t}_{3} \boldsymbol{O}^{\oplus} \boldsymbol{B} \boldsymbol{F}_{4}^{\ominus} \rightarrow \boldsymbol{C}_{3} \boldsymbol{H}_{7}-\boldsymbol{O}-\boldsymbol{E} \boldsymbol{t}+ \)
EtO \( \boldsymbol{E t}+\boldsymbol{H} \boldsymbol{B} \boldsymbol{F}_{\mathbf{4}} \)
Which of the following statements is wrong?
A. The nucleophile in the reaction is \( C_{3} H_{7} O H \)
B. The nucleophile in the reaction is \( B F_{4}^{\ominus} \)
C. The leaving group is \( E t_{2} O \)
D. \( S N^{2} \) reaction occurs.
Subject: Maths
If the side of cube is \( 2 \mathrm{m} \), then surface
area of cube is
\( \mathbf{A} \cdot 24 m^{2} \)
B. \( 124 \mathrm{m}^{2} \)
\( c \cdot 24 m \)
D. \( 124 \mathrm{m} \)
Subject: Chemistry
For the reaction, \( \boldsymbol{X}_{2} \boldsymbol{O}_{4}(l) \longrightarrow \)
\( \mathbf{2} \boldsymbol{X} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
\( \Delta U=2.1 k c a l, \Delta S=20 \operatorname{cal} K^{-1} \mathrm{at} \)
\( 300 \mathrm{K} \) Hence \( , \Delta G \) is
A . +2.7 kcal
B. -2.7 kcal
c. +9.3 kcal
D. - -9.3 kcal
Subject: Chemistry
In Liebig's method for the estimation of \( \mathrm{C} \) and \( \mathrm{H}, \) if the compound also contains both halogens and sulphur then which of the following is kept near the exit of the combustion tube?
A . Silver wire
в. \( P b C r O_{4} \)
c. Both (a) and (b)
D. Cu gauge
Subject: Chemistry
The gas phase decomposition of
dimethyl ether follows first order kinetics,
\( \boldsymbol{C H}_{3} \boldsymbol{O C H}_{3}(\boldsymbol{g}) \rightarrow \boldsymbol{C H}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{C O}(\boldsymbol{g}) \)
The reaction is carried out in a constant
volume container at \( 500^{\circ} \mathrm{C} \) and has a
half-life of 14.5 minute. Initially only dimethyl ether is present at a pressure of 0.40 atmosphere. The total pressure
of the system after 12 minutes
assuming ideal gas behaviour in atm
is (write answer as the
first integer after decimal, e.g., if answer is 2.56 then answer should be 5 )
Subject: Physics
The speed of the bicycle is
\( \begin{array}{ll}\text { A. } 6.4 \pi m & s^{-1}\end{array} \)
B. \( 3.5 \pi m \quad s^{-1} \)
\( \mathbf{c} \cdot 2.8 \pi m \quad s^{-1} \)
\( \begin{array}{ll}\text { D. } 5.6 \pi m & s^{-1}\end{array} \)
Subject: Chemistry
Choose the correct options regarding
the nature of oxides formed by \( L i \) and
\( \boldsymbol{B e}: \)
This question has multiple correct options
A \( \cdot L i_{2} O \) is acidic while \( B e O \) is basic
B. \( B e O \) is amphoteric.
\( \mathrm{c} \cdot \mathrm{Li}_{2} \mathrm{O} \) is basic
D. \( L i_{2} O \) and \( B e O \) both are amphoteric
Subject: Physics
Two positive charges \( q_{1} \) and \( q_{2} \) are
moving with velocities \( v_{1} \) and \( v_{2} \) when
they are at points \( A \) and \( B \), respectively,
as shown in figure. The magnetic force
experienced by charge \( q_{1} \) due to the
other charge \( \boldsymbol{q}_{2} \) is :
\( A \)
B. \( \frac{\mu_{0} q_{1} q_{2} v_{1} v_{2}}{4 \sqrt{2} \pi a^{2}} \)
\( \overbrace{\frac{\mu_{0} \pi_{1} q_{2}}{2 \sqrt{2}} v_{1} v_{2}^{2}} \)
D. \( \frac{\mu_{0} q_{1} q_{2} v_{1} v_{2}}{\sqrt{2} \pi a^{2}} \)
Subject: Maths
\( \mathbf{A}=\left[\begin{array}{ccc}\mathbf{1}^{2} & \mathbf{2}^{\mathbf{2}} & \mathbf{3}^{2} \\ \mathbf{2}^{\mathbf{2}} & \mathbf{3}^{2} & \mathbf{4}^{2} \\ \mathbf{3}^{\mathbf{2}} & \mathbf{4}^{\mathbf{2}} & \mathbf{5}^{\mathbf{2}}\end{array}\right], \) then \( |\boldsymbol{A} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}|= \)
\( A \)
B . 16
\( c \cdot 64 \)
D. 128
Subject: Maths
Negation of "A is in Class \( X^{t h} \) or \( B \) is in
\( \boldsymbol{X} \boldsymbol{I} \boldsymbol{I}^{t h^{\prime \prime}} \) is
A. A is not in class \( X^{t h} \) but \( B \) is in \( X I I^{t h}^{h} \)
c. Either A is not in class \( X^{t h} \) or \( \mathrm{B} \) is not in \( X I I^{t h} \)
D. none of these
Subject: Physics
Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the
voltage difference are \( 3 \% \) each, then
error in the value of resistance of the
wire is
A . \( 6 \% \)
B. Zero
c. \( 1 \% \)
D. 3\%
Subject: Chemistry
Three arrangements are shown for the
\( \operatorname{complex}\left[\operatorname{CoBr}_{2}\left(N H_{3}\right)_{2}(e n)\right]^{\oplus} . \) Which
one is wrong statement?
A. I and II are geometrical isomers
B. Il and III are optically active isomers
c. I and III are optically active isomers
D. II and III are geometrical isomers
Subject: Biology
Myxomycetes are
A. Saprobes or parasites, having mycelium, asexual reproduction by fragmentation.
B. Slimy mass of multinucleate protoplasm, having pseudopodia like structures for engulfing food, reproduction through fragmentation or zoospores
C. Prokaryotic organisms, cellular or acellular, saprobes or autotrophic, reproduce by binary fission
D. Eukaryotic, single-celled or filamentous, saprobes or autotrophic, asexual reproduction by division of haploid individuals, sexual reproduction by fusion of two cells or their nuclei.