AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Arrange the following monomers in order of decreasing ability to undergo cationic polymerisation.
\( \mathbf{I} . \boldsymbol{C} \boldsymbol{H}_{\mathbf{2}}=\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{4}}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right) \)
\( \| . C H_{2}=C H-C_{6} H_{4}\left(C H_{3}\right) \)
\( \| I \cdot C H_{2}=C H-C_{6} H_{4}\left(O C H_{3}\right) \)
A. \( I>I I>I I I \)
В. \( I I>I>I I \)
c. \( I I I>I I>I \)
D. \( I>I I I>I I \)
Subject: Physics
A telephone cable at a place has four long straight horizontal wires carrying a current of \( 1.0 \mathrm{A} \) in the same direction
east to west. The earth's magnetic field at the place is \( 0.39 \mathrm{G} \), and the angle of dip is \( 35^{0} . \) The magnetic declination is nearly zero. What are the resultant
magnetic fields at point \( 4.0 \mathrm{cm} \) below the cable?
B. 0.50 G
c. 1.25 G
D . 2.50 G
Subject: Maths
If for three non-zero vectors \( \vec{a}, \vec{b} \) and \( \vec{c}, \vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c} \) and \( \vec{a} \times \vec{b}=\vec{a} \times \vec{c}, \) then
show that \( \vec{b}=\vec{c} \)
Subject: Physics
A cylinder contains \( 10 \mathrm{kg} \) of \( \operatorname{gas} \) at \( \mathrm{a} \) pressure of \( 10^{7} \mathrm{N} \boldsymbol{m}^{-2} . \) The quantity of
gas taken out of the cylinder, if final pressure is \( 2.5 \times 10^{6} \mathrm{N} m^{-2} \) is?
A. \( 9.5 \mathrm{kg} \)
B. \( 7.5 \mathrm{kg} \)
c. \( 14.2 \mathrm{kg} \)
D. zero
Subject: Physics
Two wave are represented by equation
\( \boldsymbol{y}_{1}=\boldsymbol{a} \sin \omega t \) and \( \boldsymbol{y}_{2}=\boldsymbol{a} \cos \omega \boldsymbol{t} . \) Then
the first wave:
A. leads the second by \( \pi \)
B. lags the second by \( \pi \)
c. leads the second by \( \frac{\pi}{2} \)
D. lags the second by \( \frac{\pi}{2} \)
Subject: Biology
Match the columns and find the correct
combination:
\begin{tabular}{cc|c|c} 
& \( \mathrm{I} \) & & \( \mathrm{II} \) \\
\( \mathrm{a} \) & Zeatin & 1 & Flowering hormone \\
\( \mathrm{b} \) & Florigen & 2 & Synthetic auxin \\
\( \mathrm{c} \) & \( \mathrm{IBA} \) & \( 3 . \) & Cytokinin \\
\( \mathrm{d} \) & \( \mathrm{NAA} \) & \( 4 . \) & Natural auxin
\end{tabular}
\( A \)
\( a-3, b-1, c-4, d-2 \)
B. \( a-4, b-1, c-2, d-3 \)
\( c \cdot a-3, b-4, c-1, d-2 \)
D. \( a-2, b-1, c-4, d-3 \)
\( \mathrm{E} \cdot \mathrm{a}-1, \mathrm{b}-2, \mathrm{c}-3, \mathrm{d}-4 \)
Subject: Maths
Assertion
Domain of \( f(x) \) is singleton.
Reason

Range of \( \boldsymbol{f}(\boldsymbol{x}) \) is singleton.
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
Out of 100 bicycles, 10 bicycles have puncture. What is the probability of not having any punctured bicycle in a
sample of 5 bicycles?
A \( \cdot \frac{1}{2^{9}} \)
B. \( \left(\frac{9}{10}\right)^{5} \)
c. \( \frac{1}{10^{5}} \)
D. \( \frac{1}{2^{5}} \)
Subject: Physics
A small steel ball falls through a syrup at a constant speed of \( 10 \mathrm{cm} / \mathrm{sec} \). If the steel ball is pulled upwards with a force equal to twice its effective weight; how fast will it move upwards?
A. \( 10 \mathrm{cm} / \mathrm{sec} \)
в. \( 20 \mathrm{cm} / \mathrm{sec} \)
\( \mathrm{c} \cdot 5 \mathrm{cm} / \mathrm{sec} \)
D. \( 0 \mathrm{cm} / \mathrm{sec} \)
Subject: Chemistry
Assertion
Atomicity of Phosphorus is 4
Reason
Atomicity is the number of atoms
present in 1 molecule.
A. Both Assertion and Reason are correct and the Reason
is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
C. Assertion is correct but the Reason is incorrect
D. Assertion is incorrect but the Reason is correct
Subject: Maths
Consider the following statements:
1. Coefficient of variation depends on
the unit of measurement of the variable.
2. Range is a measure of dispersion
3. Mean deviation is least when
measured about median.
Which of the above statements are
correct?
A. 1 and 2 only
B. 2 and 3 only
c. 1 and 3 only
D. 1,2 and 3
Subject: Chemistry
Net reaction taking place when amalgam is in contact with Al foil:
A \( \cdot 2 H_{2} O+O_{2} \rightarrow 2 H_{2} O \)
B. \( 4 A l+3 O_{2}+12 H^{\oplus} \rightarrow 4 A l^{3+}+6 H_{2} O \)
c. \( A l+O_{2}+\stackrel{\delta}{O} \rightarrow\left[A l(O H)_{4}\right]^{\ominus}+H_{2} O \)
D. \( 4 A l+3 O_{2} \rightarrow 2 A l_{2} O_{3} \)
Subject: Chemistry
Find the expression that can be used to designate a linear nonpoplar molecule that contains polar bonds.
в. \( C O_{2}(g) \)
\( \mathbf{c} \cdot 2 N_{2} O(g) \)
D. \( 2 N a C l(a q) \)
E \( \cdot H_{2} S O_{4}(a q) \)
Subject: Maths
The whole area of the curves \( x= \)
\( a \cos ^{3} t, y=b \sin ^{3} t \) is given by?
A \( \cdot \frac{3}{8} \pi a b \)
в. \( \frac{5}{8} \pi a b \)
c. \( \frac{1}{8} \pi a b \)
D. None of these
Subject: Physics
A force of \( 10 \mathrm{N} \) is applied to an object,
whose area is \( 5 \mathrm{cm}^{2} \) at an angle of 30
degrees with the vertical. What kind of stress can be found from this data
A. Normal and areal stress can be found
B. only normal stress can be found
c. only areal stress can be found
D. Stress cannot be found from this data, since applied force is neither along the horizontal or vertica
Subject: Chemistry
If all the amines are represented by the
formula \( \boldsymbol{R}-\boldsymbol{N} \boldsymbol{H}_{2}, \) the value of \( \mathrm{R} \) in all
the amines is:
A \( \cdot C_{3} H_{7} \)
в. \( C_{4} H_{9} \)
c. \( C_{5} H_{11}- \)
D. \( C_{2} H_{5} \)
Subject: Maths
Let \( R \) be the set of all real numbers and
\( \boldsymbol{f}:[-1,1] \rightarrow \boldsymbol{R} \) be defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}x \sin \frac{1}{x} ; \quad x \neq 0 \\ 0 ; \quad x=0\end{array}\right. \)
A . \( f \) satisfies the conditions of Rolle's theorem on [-1,1]
B. \( f \) satisfies the conditions of Lagrange's mean value theorem on [-1,1]
C. \( f \) satisfies the conditions of Rolle's theorem on [0,1]
D. \( f \) satisfies the conditions of Lagrange's mean value
theorem on [0,1]
Subject: Maths
Find \( \frac{\boldsymbol{a} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \) if \( \boldsymbol{y}= \)
\( \boldsymbol{e} \sin ^{2} \boldsymbol{x}\left\{\boldsymbol{2} \tan ^{-1} \sqrt{\frac{\boldsymbol{1}+\boldsymbol{x}}{1-\boldsymbol{x}}}\right\} \)
Subject: Chemistry
When stearic acid \( \left(C_{18} H_{36} O_{2}\right) \) is added to water, its molecules collect at the
surface and form a monolayer. The cross-sectional area of each stearic
acid molecule is \( 0.21 n m^{2} . \) If \( 1.4 \times \)
\( 10^{-4} g \) of stearic acid is needed to form
a monolayer over water in a dish of diameter \( 20 \mathrm{cm} . \) (The area of the circle
of radius \( r \) is \( \left(\pi r^{2}\right), \) then what is
equivalent of \( 1 g H \) in amu for this value
of Avogadro's number?
A \( \cdot 1.66 \times 10^{-24} g \)
B . \( 3.33 \times 10^{-24} g \)
c. \( 2.5 \times 10^{-24} g \)
D. \( 1 \times 10^{-23} g \)
Subject: Maths
A pack of cards was found to contain
only 51 cards. If first 13 cards, which are examined, are all red, then find the probability that the missing cards is black?
A \( \cdot 2 / 3 \)
в. \( 1 / 3 \)
c. \( 2 / 9 \)
D. \( 1 / 6 \)
Subject: Maths
Solve the following pair of simultaneous equations:
\( \frac{\mathbf{3}}{\mathbf{a}}+\frac{\mathbf{4}}{\mathbf{b}}=\mathbf{2} ; \frac{\mathbf{9}}{\mathbf{a}}-\frac{\mathbf{4}}{\mathbf{b}}=\mathbf{2} \)
A \( . a=3, b=4 \)
в. \( a=1, b=-2 \)
c. \( a=5, b=-3 \)
D. \( a=0, b=6 \)
6
Subject: Maths
The value of a car depreciates every year at the rate of \( 10 \% \) on its value at the
beginning of the year. If the present value of the car is Rs 52,488 its worth
four years ago was
\( \mathbf{A} \cdot R s 68.232 \)
B. \( R s 68.234 \)
\( \mathbf{c} . R s 69.862 \)
D. \( R s 80,000 \)
Subject: Chemistry
Consider the reaction, \( 2 N_{2} O_{5} \rightarrow \)
\( 4 N O_{2}+O_{2} \)
In the reaction \( N O_{2} \) is being formed at
the rate of 0.0125 mol \( L^{-1} s^{-1} . \) What is
the rate of reaction at this time?
A \( \cdot 0.0018 \) mol \( L^{-1} s^{-1} \)
B. 0.0031 mol \( L^{-1} s^{-1} \)
c. 0.0041 mol \( L^{-1} s^{-1} \)
D. 0.050 mol \( L^{-1} s^{-1} \)
Subject: Physics
A ring of charge with radius of \( 0.5 \mathrm{m} \)
has \( 0.02 \mathrm{m} \) gap. If the ring carries a charge of \( +1 C, \) the field at the centre is:
A \( \cdot 2.31 \times 10^{4} N / C \)
B . \( 2.31 \times 10^{8} N / C \)
c. \( 1.6 \times 10^{4} N / C \)
D. \( 1.6 \times 10^{8} N / C \)
Subject: Maths
Evaluate:
\( \lim _{n \rightarrow \infty}\left[\frac{1}{n^{3}}+\frac{2^{2}}{n^{3}}+\frac{3^{2}}{n^{3}}+\ldots+\frac{n^{2}}{n^{3}}\right] \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{3} \)
D.
Subject: Physics
A convex mirror of focal length \( 10 \mathrm{cm} \)
cut into two halves and placed before an
object at a distance of \( 10 \mathrm{cm} \) as shown in figure.The separation between
images formed by two halves is:
\( A .1 m m \)
\( \mathbf{B} \cdot 2 m m \)
\( \mathrm{c} .3 \mathrm{mm} \)
\( \mathbf{D} \cdot 9 m m \)
Subject: Chemistry
Two mole of ideal diatomic gas
\( \left(C_{V, m}=5 / 2 R\right) \) at \( 300 \mathrm{K} \) and 5 atm
expanded irreversibly and adiabatically to a final pressure of 2 atm against a
constant pressure of 1 atm.Calculate \( q \) \( \mathrm{w}, \Delta \boldsymbol{H} \) and \( \Delta \boldsymbol{U} \)
Subject: Physics
A ray of light passing through an equilateral triangular prism gets deviated at least by \( 30 . \) Then, the refractive index of the material of the
prism must be :
\( \mathbf{A} \cdot \leq \sqrt{2} \)
в. \( \geq \sqrt{2} \)
\( c \cdot \leq \sqrt{3} \)
\( D \cdot \geq \sqrt{3} \)
Subject: Maths
which of the following statement is/are
true for co-planar vectors?
This question has multiple correct options
A. Any of three non-coplanar vectors are linearly independent
B. Any three co-planar vectors are linearly independent.
C. If \( a \) and \( b \) are two non-zero non-collinear vectors then
there exist any vector \( r \) coplanar with \( a \) and \( b \) such that \( r=x a+y b \)
D. Both \( B \) and \( C \) are correct.
Subject: Physics
Three moving coil galvanometer \( \boldsymbol{A}, \boldsymbol{B} \) and \( C \) are made of coils of three
different material having torsional constant \( 1.8 \times 10^{-8}, 2.8 \times 10^{-8} \) and
\( 3.8 \times 10^{-8} \) respectively. If the three
galvanometers are identical in all other respect, then in which of the above cases, current sensitivity is maximum?
A. \( A \)
в. \( C \)
\( c . B \)
D. same in each case
Subject: Chemistry
Statement I: Atomic radius generally increases as you move across the periodic table from left to right. Statement II: The atomic number is
increasing from left to right as you move across the periodic table
A. Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement
B. Both Statement I and Statement II are correct, but Statement II is not the correct explanation of Statement I.
c. Statement lis correct, but Statement II is incorrect
D. Statement I is incorrect, but Statement II is correct
Subject: Chemistry
Assertion
Ethyne is more reactive than ethane.
Reason
Due to presence of triple bond, electron
density is very high so it is more
reactive
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
Assertion
In \( S H M, \) acceleration is always
directed towards the mean position.
Reason
\( \ln S H M, \) the body has to stop
momentary at the extreme position and move back to mean position.
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 body of \( 2 g \) carrying a charge of \( 0.1 \times \) \( 10^{-6} C \) starts from rest from the positive
plate and moves to the negative plate of a parallel plate condenser connected to a voltage supply of \( 30 k V \). The final velocity
is:
A \( \cdot \sqrt{3} m s^{-1} \)
B. \( \frac{\sqrt{3}}{12} m s^{-1} \)
c. \( \frac{1}{\sqrt{2}} m s^{-1} \)
D. zero
Subject: Biology
Which of the following environmental conditions are essential for optimum growth of Mucor on a piece of bread?
A. Temperature of about \( 25^{\circ} \mathrm{C} \)
B. Temperature of about \( 5^{\circ} \mathrm{C} \)
C. Relative humidity of about \( 5 \% \)
D. Relative humidity of about \( 95 \% \)
E. A shady place.
F. A brightly illuminated place. Choose the answer from the following options.
\( A \cdot B \) and \( D \) only
B. B, C and Fonly
C. \( A, C \) and \( E \) only
D. \( A, D \) and \( E \) only
Subject: Physics
The capacitive reactance of a condenser
of capacity \( 25 \mu \mathrm{F} \) for an \( \mathrm{AC} \) of frequency
\( 4000 \mathrm{Hz} \) will be
A \( \cdot \frac{5}{\pi} \Omega \)
в. \( \frac{10}{\pi} \Omega \)
c. \( 5 \pi \Omega \)
D. \( \frac{\pi}{5} \Omega \)
Subject: Chemistry
While studying saponification reaction,
a student measures the temperature of the reaction mixture and also finds its
nature using blue/red litmus paper. On
the basis of his observations the correct
conclusion would be:
A. the reaction is exothermic and the reaction mixture is acidic
B. the reaction is endothermic and the reaction mixture is acidic
C. the reaction is exothermic and the reaction mixture is neutral
D. the reaction is exothermic and the reaction mixture is basic
E. the reaction is endothermic and the reaction mixture is basic.
Subject: Physics
What should be the magnitude and
direction of electric field?
A \( \cdot 7 N c^{-1}, \) Vertically up \( \perp \) to velocity
B. \( 7 N c^{-1} \), horizontally and \( \perp \) to velocity
C . \( 14 N c^{-1} \), horizontally parallel to velocity
D. none of these
Subject: Chemistry
The basic character of the transition
metal monoxides follows the
(At. no. of \( \boldsymbol{T} \boldsymbol{i}=\mathbf{2} 2, \boldsymbol{V}=\mathbf{2 3}, \boldsymbol{C r}= \)
\( 24, F e=26) \)
A \( . T i O>V O>C r O>F e O \)
в. \( V O>C r O>T i O>F e O \)
\( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}>\mathrm{VO}>\mathrm{FeO}>\mathrm{TiO} \)
D. \( T i O>F e O>V O>C r O \)
Subject: Maths
\( \ln a \Delta A B C \) if sides a and b remain
constant such that \( \alpha \) is the error in \( C \)
then relative error in its area is
A. \( \alpha \cot C \)
B. \( \alpha \sin C \)
\( c \cdot \alpha \tan C \)
D. \( \alpha \cos C \)
Subject: Physics
A very thin metal sheet is inserted
halfway between the parallel plates of an air-gap capacitor. The sheet is thin compared to the distance between the plates, and it does not touch either plate when fully inserted. The system had capacitance, \( C \), before the plate is inserted.

What is the equivalent capacitance of the system after the sheet is fully
inserted?
\( ^{A} \cdot \frac{1}{4} C \)
в. \( \frac{1}{2} C \)
c. \( C \)
D. \( 2 C \)
E . \( 4 C \)
Subject: Physics
From a water fall, water is pouring down at the rate 100 kg per see on the blade of a turbine. If the height of the fall be 100 \( \mathrm{m}, \) the power delivered to the turbine is approximately equal to
A. \( 100 \mathrm{kW} \)
B. 1 \( w \)
\( c \cdot 1 k w \)
D. 100 \( w \)
Subject: Physics
A molecule of gas in a container hits one wall (1) normally and rebounds back. It suffers no collision and hits the
opposite wall (2) which is at an angle of
\( 30^{\circ} \) with wall 1

Assuming the collisions to be elastic
and the small collision time to be the
same for both the walls, the magnitude
of average force by wall 2. \( \left(F_{2}\right) \) provided to the molecule during collision satisfy :
A \( \cdot F_{1}>F_{2} \)
в. \( F_{1}<F_{2} \)
c. \( F_{1}=F_{2} \), bothnon-zero
D. \( F_{1}=F_{2}=0 \)
Subject: Physics
Light is incident normally on face \( A B \) of
a prism as shown in figure. A liquid of
refractive index \( \mu \) is placed on the face
AC of the prism. The prism is made of glass of refractive index \( 3 / 2 \). The limit of
\( \mu \) for which total internal reflection
takes place on face AC is :
A \( \cdot_{\mu}<\frac{3 \sqrt{3}}{4} \)
В \( \cdot \mu>\sqrt{\frac{5}{2}} \)
c. \( \mu>\sqrt{2} \)
D. \( \mu<\sqrt{3} \)
Subject: Chemistry
Assertion
\( H_{3} P O_{4} \) and \( H_{3} P O_{3} \) both are present in fertilizers.
Reason
\( H_{3} P O_{3} \) increases the solubility of fertilizers.
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
Identify the correct set of electrovalent compounds from the following in which the metal has electrovalency 2 and nonmetal has electrovalency 3
(A) Calcium sulphide
(B) Barium nitride
(C) Magnesium phosphide
(D) Aluminium nitride
(E) Magnesium fluoride
A. \( B \& C \)
в. \( B \& D \)
c. \( C \& D \)
D. \( A, B, C \& E \)
Subject: Physics
The dimensional formula of a physical quantity is \( M^{1} L^{2} T^{3} I^{-1} \).What is its \( S \)
unit?
A \( \cdot k g \quad m^{2} s^{3} A^{-1} \)
B. \( k g \quad m^{2} s^{2} A \)
c. \( k g \quad m s^{-3} A^{2} \)
D. \( k g^{2} m^{2} s^{3} A^{-1} \)
Subject: Physics
Position \( x \) of a particle moving along a straight line with time \( t \) is given by \( x= \) \( \sqrt{t^{2}+2} . \) Acceleration of the particle is
given by.
A. \( \frac{1}{x^{3}} \)
в. \( \frac{2}{x^{3}} \)
c. \( \frac{1}{x}-\frac{t^{2}}{x^{2}} \)
D. \( \frac{1}{x}-\frac{t^{2}}{x} \)
Subject: Physics
A mass of \( 1 k g \) is thrown up with velocity of \( 1000 m / s . \) After 5 second, it explodes
into two parts. One part of mass 400 g
moves soen with a velocity \( 25 m / s \) calculate the velocity of other part just after the explosion \( \left(\boldsymbol{g}=\mathbf{1 0 m s}^{-\mathbf{2}}\right) \)
Subject: Chemistry
According to Bohr's theory, the energy required for the transition of H-atom from \( n=6 \) to \( n=8 \) state is:
A. equal to the energy required for the transition from \( n= \) 5 to \( n=6 \) state
B. larger than the energy required for the transition from \( n=7 \) to \( n=9 \) state
c. less than the energy required for the transition from n \( =7 \) to \( n=9 \) state
D. equal to the energy required for the transition from \( n= \) 7 to \( n=9 \) state
Subject: Physics
A long straight wire in the horizontal
plane carries a current of \( 50 A \) in north
to south direction. Given the magnitude
and direction of \( B \) at a point 2.5 m east
of the wire.
A \( \cdot 2 \times 10^{-6} T, \) south
B . \( 3 \times 10^{-6} T \), down
c. \( 4 \times 10^{-6} T, \) up
D. \( 6 T \), north
Subject: Maths
The real number \( x \) when added to its
inverse gives the minimum value of the
\( \operatorname{sum} \operatorname{at} x= \)
\( (\boldsymbol{x} \in+\boldsymbol{R}) \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 3
\( c \cdot 2 \)
D.
Subject: Chemistry
Select incorrect statement.
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: Physics
A man can swim with a speed of 4
\( k m h^{-1} \) in still water. He crosses a river 1
\( \mathrm{km} \) wide that flows steadily at \( 3 \mathrm{kmh}^{-1} \) If he makes his strokes normal to the
river current, how far down the river
does he go when he reaches the other bank?
A. \( 500 \mathrm{m} \)
B. 600 \( m \)
c. 750 \( m \)
D. 850 \( \mathrm{m} \)
Subject: Physics
Assertion
STATEMENT1: Work done by a force on a body whose centre of mass does not move may be non-zero.
Reason
STATEMENT2: Work done by a force depends on the displacement of the
centre of mass
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-
c. statement- 1 is True, Statement- 2 is False
D. Statement-1 is False, Statement-2 is True
Subject: Physics
A \( 90 \mathrm{cm} \) long barometer tube contains some air above the mercury. The reading is \( 74.5 \mathrm{cm} \) when the true pressure is \( 76 \mathrm{cm} \) at the temperature \( 15^{0} C . \) If the reading is observed to be \( 75.8 \mathrm{cm} \) on a day when the temperature
is \( 5^{0} C \), then the true pressure is:
A. \( 77.38 \mathrm{cm} \) of \( \mathrm{Hg} \)
B. 75.8 cm of Hg
c. \( 74 \mathrm{cm} \) of \( \mathrm{Hg} \)
D. \( 80 \mathrm{cm} \) of \( \mathrm{Hg} \)
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{3}, \mathbf{6}, \mathbf{1 2}, \mathbf{1 5}, \mathbf{1 8}, \mathbf{2 1}\}, \boldsymbol{B}= \)
\( \{\mathbf{4}, \mathbf{8}, \mathbf{1 2}, \mathbf{1 6}, \mathbf{2 0}\}, \boldsymbol{C}= \)
\( \{\mathbf{2}, \mathbf{4}, \mathbf{6}, \mathbf{8}, \mathbf{1 0}, \mathbf{1 2}, \mathbf{1 4}, \mathbf{1 6}\} \) and \( \boldsymbol{D}= \)
\( \{\mathbf{5}, \mathbf{1 0}, \mathbf{1 5}, \mathbf{2 0}\} . \) Find \( \boldsymbol{C}-\boldsymbol{A} \)
Subject: Chemistry
A particle of mass \( M \) at rest decays
into two particles of masses \( m_{1} \) and \( m_{2} \)
having non-zero velocities. The ratio of the de-Brogile wavelengths of the particles, \( \frac{\boldsymbol{I}_{1}}{\boldsymbol{I}_{2}} \) is:
A. \( \frac{m_{1}}{m_{2}} \)
в. \( \frac{m_{2}}{m_{1}} \)
\( c \cdot 1: 1 \)
D. \( \sqrt{\frac{m_{2}}{m_{1}}} \)
Subject: Maths
If \( \lim _{x \rightarrow \infty}\{(\sqrt{x^{4}+a x^{3}+3 x^{2}+b x+2}-\sqrt{a} \)
is finite, then the value of \( a \) is?
A . 3
B. 5
\( c \cdot 2 \)
D. Any real number
Subject: Chemistry
Calculate the dissociation constant of
\( N H_{4} O H \) at \( 298 \mathrm{K}, \) if \( \triangle H^{\ominus} \) and \( \Delta S^{\ominus} \) for
the given changes are as follows:
\( \boldsymbol{N} \boldsymbol{H}_{3}+\boldsymbol{H}^{\oplus} \rightleftharpoons \stackrel{\oplus}{\boldsymbol{N}} \boldsymbol{H}_{4} \)
\( \Delta H^{\ominus}=-52.2 k J m o l^{-1}, \Delta S^{\ominus}= \)
\( \mathbf{1 . 6 7} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{H}^{\oplus}+\stackrel{\ominus}{\boldsymbol{O}} \boldsymbol{H} ; \boldsymbol{\Delta} \boldsymbol{H}^{\ominus}= \)
\( \mathbf{5 6 . 6} k J \mathbf{m o l}^{-1} \)
\( \Delta S^{\ominus}=-76.53 J K^{-1} m o l^{-1} \)
\begin{tabular}{l} 
A. \( K_{b}=1.7 \times 10^{-5} \) \\
\hline
\end{tabular}
в. \( K_{b}=1.7 \times 10^{-3} \)
c. \( K_{b}=1.7 \times 10^{-1} \)
D. \( K_{b}=3.4 \times 10^{-5} \)
Subject: Physics
Ram was riding in a car travelling at
a speed of \( 20 m s^{-1} \) toward east. Shyam
was standing on the sideway when the car passed him. Just before the car passed close to Shyam (when it was north-west of him); Ram had thrown a
banana peel with velocity \( 10 m s^{-1} \)
relative to him as \( \boldsymbol{v}_{\text {Banana}, \text {Ram}}= \)
\( (-10) \hat{i}+(-10) \hat{j} . \) The banana peel had
velocity components \( 10 m s^{-1} \) toward
south and \( 10 m s^{-1} \) towards west in
Ram's reference frame. When Ram met
Shyam later, Shyam accused that Ram had thrown the banana peel at him.
Explain this with the help of a velocity diagram.
Subject: Chemistry
Hydrogen peroxide is now generally prepared to industrial scale by the:
A . action of \( H_{2} S O_{4} \) on barium peroxide
B. action of \( H_{2} S O_{4} \) on sodium peroxide
C . electrolysis of \( 50 \% \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. burning hydrogen in excess of oxygen