AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Refer to teh circuit shown. What will be
the total power dissipation in the
circuit if \( \boldsymbol{P} \) is the power dissipated in
\( R_{1} ? \) It is given that \( R_{2}=4 R_{1} \) and \( R_{3}= \)
\( 12 R_{1} \)
A \( .4 P \)
в. \( 7 P \)
c. \( 13 P \)
D. \( 17 P \)
Subject: Physics
Density of a sphere of mass \( M, \) radius \( R \) varies with distance \( r \) from its centre \( \operatorname{as} \boldsymbol{P}=\boldsymbol{P} \cdot\left(1+\frac{\boldsymbol{r}}{\boldsymbol{R}}\right) \boldsymbol{P}_{0} \) is \( \mathbf{a}+\boldsymbol{v} \boldsymbol{e} \)
constant find its MOI about its
diameter.
Subject: Chemistry
For a general reaction \( \boldsymbol{X} \rightarrow \boldsymbol{Y}, \) the plot
of conc. of \( \boldsymbol{X} \) vs time is given in the
figure. What is the order of the reaction
and what are the units of rate constant?
A. zero, mol \( L^{-1} s^{-1} \)
B. First, \( \operatorname{mol} L^{-1} s^{-1} \)
\( c . \) First, \( s^{-1} \)
D. zero, L mol- \( s_{s}^{-} \)
Subject: Maths
The curve satisfying \( \frac{\mathbf{d}^{2} \boldsymbol{y}}{\mathbf{d} \boldsymbol{x}^{2}}-\mathbf{4} \boldsymbol{y}^{\prime}=\mathbf{0} \) and
passing through (1,0) is:
A \( \cdot y=x e^{4 x} \)
B . \( y=a e^{4 x} \)
c. \( y=e^{4 x}-e^{4} \)
D・ \( y=a\left(e^{4 x}-e^{4}\right) \)
Subject: Physics
A block attached to a spring, pulled by a constant horizontal force, is kept on a
smooth surface as shown in the figure.
Initially, the spring is in the natural state. Then the maximum positive work
that the applied force \( F \) can do is:
(Given that spring does not break)
\( ^{\mathbf{A}} \cdot \frac{F^{2}}{K} \)
B. \( \frac{2 F^{2}}{K} \)
\( c \cdot \infty \)
D. \( \frac{F^{2}}{2 K} \)
Subject: Physics
A boat at anchor is rocked by waves
whose crests are \( 100 m \) apart and
velocity is \( 25 m / s \). The boat bounces up once in every:
\( \mathbf{A} \cdot 2500 s \)
в. \( 75 s \)
c. \( 4 s \)
D. \( 0.25 s \)
Subject: Chemistry
The plots of \( \frac{1}{X_{A}} v s \cdot \frac{1}{Y_{A}}\left(\text { where }, X_{A} \text { and } Y_{A}\right. \) are the mole fraction of liquid \( A \) in liquid and vapour phase respectively) is linear with slope and intercepts respectively
\( ^{\mathbf{A}} \cdot p_{A}^{0} / P_{B}^{0} \) and \( \frac{\left(P_{A}^{0}-P_{B}^{0}\right)}{P_{B}^{0}} \)
в. \( \quad P_{A}^{0} / P_{B}^{0} \) and \( \frac{\left(P_{B}^{0}-P_{A}^{0}\right)}{P_{B}^{0}} \)
\( ^{\mathbf{c}} P_{B}^{0} / P_{A}^{0} \) and \( \frac{\left(P_{A}^{0}-P_{B}^{0}\right)}{P_{B}^{0}} \)
\( P_{B}^{0} / P_{A}^{0} \) and \( \frac{\left(P_{B}^{0}-P_{A}^{0}\right)}{P_{B}^{0}} \)
Subject: Physics
A double convex lens of focal length 6 \( \mathrm{cm} \) is made of glass of refractive index
1.5. The radius of curvature of one
surface which is double that of the
other surface will be
\( A .3 c m \)
B. 9 cm
\( \mathbf{c} \cdot 12 c m \)
D. \( 24 \mathrm{cm} \)
Subject: Physics
An object, moving with a speed \( 6.25 m s^{-1}, \) is decelerated at a rate
given by \( \frac{d v}{d t}=-2.5 \sqrt{v} \) where \( v \) is intantaneous velocity. The time taken by the object to come to rest would be:
A \( .2 s \)
B. \( 4 s \)
\( c \cdot 8 s \)
\( D \)
Subject: Physics
A galvanometer coil \( 5 \mathrm{cm} \times 2 \mathrm{cm} \) with 200 turns is suspended vertically in a field of \( 5 \times 10^{-2} \) T.The suspension fibre
needs a torque of \( 0.125 \times 10^{-7} N-m \)
to twist it through one radian. If \( i \) is the
strength of the current required to be maintained in the coil when we require
a deflection of \( 6^{\circ} \) then find \( x \) such that
\( \boldsymbol{x}=\boldsymbol{i} \times \mathbf{1 0}^{8} \)
Subject: Maths
What will be the values of \( \theta \) between \( 0^{\circ} \)
and \( 360^{\circ} \) if \( \sin \theta=-\frac{\sqrt{3}}{2} \)
A \( \cdot 30^{\circ}, 330^{\circ} \)
В. \( 60^{\circ}, 120^{\circ} \)
c. \( 135^{\circ}, 315^{\circ} \)
D . \( 240^{\circ}, 300^{\circ} \)
Subject: Maths
Show that \( (x-a) \) is a factor of
\( \left|\begin{array}{lll}\boldsymbol{x} & \boldsymbol{a} & \boldsymbol{a} \\ \boldsymbol{a} & \boldsymbol{x} & \boldsymbol{a} \\ \boldsymbol{a} & \boldsymbol{a} & \boldsymbol{x}\end{array}\right| \)
Subject: Maths
Assertion
\( a, b, c \) are three unequal positive
numbers.
STATEMENT-1: The product of their sum and the sum of their reciprocals
exceeds 9
Reason
STATEMENT-2: AM of \( n \) positive
numbers exceeds their HM.
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 car moves first for 0.1 hour with a
velocity of \( 20 k m / h, \) then for 0.4 hour
with a velocity of \( 60 k m / h \) and in the
last for 0.2 our with a velocity of \( 20 k m / h . \) Draw a time-velocity graph for the car and use it to find
(i) How much distance the car moves in the first time
interval
(ii) How much distance the car
moves in the whole journey. (iii) How much time the car takes in first \( 14 k m \) Indicate that the area in your graph which indicates the journey of first \( \mathbf{1 4 k m} \)
Subject: Physics
A particle of mass \( m \) moving with a velocity \( (3 \hat{i}+2 \hat{j}) m s^{-1} \) collides with
another body of
mass \( M \) and finally moves with velocity
\( (-2 \hat{i}+\hat{j}) m s^{-1} . \) Then during the
collision:

This question has multiple correct options
A. Impulse received by \( m \) is \( m(5 \hat{i}+\hat{j}) \)
B. Impulse received by \( m \) is \( m(-5 \hat{i}-\hat{j}) \)
C. Impulse received \( M \) is \( m(-5 \hat{i}-\hat{j}) \)
D. Impulse received by \( M \) is \( m(5 \hat{i}+\hat{j}) \)
Subject: Physics
\( x \)
cnanges Its pıtch so that It IS rIyıng
\( 100 m / s \) in an area of the Earth's
magnetic field that is perpendicular to
the plane and equal to \( 5.010^{5} T \)

What is the emf induced between the
wing tips? Assume that the plane was previously flying parallel to the earths magnetic field.
A. \( 0.12 \mathrm{v} \)
B. 0.20
c. \( 1.2 v \)
\( D \)
Subject: Maths
Assertion \( f: R \rightarrow\left[0, \frac{\pi}{2}\right) \) defined by \( f(x)= \)
\( \tan ^{-1}\left(x^{2}+x+a\right) \) is onto for all \( a \in \)
\( \left(-\infty, \frac{1}{4}\right) \)
Reason
For onto function codomain of \( \boldsymbol{f}= \)
Range of \( \boldsymbol{f} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
The gravitational potential difference between the surface of a planet and a point \( 20 m \) above it is \( 16 J / k g . \) Then the
work done in moving a 2 kg mass by
\( 8 m \) on a slope 60 degree from the
horizontal, is:
A . \( 11.1 \mathrm{J} \)
B. \( 5.5 J \)
\( c .16 J \)
D. 27.7 J
Subject: Maths
The length of the latus rectum of the
parabola \( \boldsymbol{x}=\boldsymbol{a} \boldsymbol{y}^{2}+\boldsymbol{b} \boldsymbol{y}+\boldsymbol{c} \) is
A \( \cdot \frac{a}{4} \)
B. \( \frac{a}{3} \)
\( c \cdot \frac{1}{a} \)
D. \( \frac{1}{4 a} \)
Subject: Physics
The diagram below represents five
different same-length identical wires(red) carrying the same amount of
current in the same magnetic field (blue) with current directions and
magnetic field directions indicated by
arrows.

Which wire(s) experience(s) the most force due to the magnetic field?
\( A \cdot 3 \) only
B. 2 only
\( c \cdot 2 \) and 5
D. 1 only
E. 1 and 4
Subject: Physics
The equation of an equipotential line in an electric field is \( y=2 x, \) then the
electric field strenght vector at (1,2) may be:
A \( .4 \hat{i}+3 \hat{j} \)
B. \( 4 \hat{i}+8 \hat{j} \)
c. \( 8 \hat{i}+4 \hat{j} \)
D. \( -8 \hat{i}+4 \hat{j} \)
Subject: Maths
figure bounded by non coplanar triangular planes. So, a tetrahedron has four non-coplanar points as its vertices. Suppose a tetrehedron has points
A,B,C,D as its vertices which have
coordinates \( \left(\boldsymbol{x} \mathbf{1}, \boldsymbol{y} \mathbf{1}, \boldsymbol{z}_{1}\right)\left(\boldsymbol{x}_{2}, \boldsymbol{y}_{2}, \boldsymbol{z}_{2}\right) \)
\( \left(x_{3}, y_{3}, z_{3}\right) \) and \( \left(x_{4}, y_{4}, z_{4}\right), \) respectively
in a rectangular three dimensional
space. Then, the coordinates of
its centroid are \( \left[\frac{\boldsymbol{x}_{1}+\boldsymbol{x}_{2}+\boldsymbol{x}_{3}+\boldsymbol{x}_{4}}{\boldsymbol{4}}, \frac{\boldsymbol{y}_{1}+\boldsymbol{y}_{2}+\boldsymbol{y}_{3}+\boldsymbol{y}_{4}}{\boldsymbol{4}}\right. \)
Let a tetrahedron have three of its
vertices represented by the points (0,0,0),(6,5,1) and (4,1,3) and
its centroid lies at the point (1,2,5) Now, answer the following question. The coordinate of the fourth vertex of the
tetrahedron is:
A \( \cdot(-6,2,16) \)
B. (1,-2,13)
c. (-2,4,-2)
D. (1,-1,1)
Subject: Chemistry
The IUPAC name of \( \left[\mathrm{Ni}\left(\mathrm{NH}_{3}\right)_{4}\right]\left[\mathrm{NiCl}_{4}\right] \) is :
A. tetrachloronickel (II)-tetraaminenickel (II)
B. tetramminenickel
(II)-tetrachloronickel (II)
c. tetraamminenickel (II)-tetrachloronickelate (II)
D. tetrachloronickel (II)-tetraaminenickelate (0)
Subject: Biology
Which of the following is not true about
photosynthesis?
A. In non-cyclic photophosphorylation, water is split and oxygen is released
B. Photosystem-II makes noncyclic photophosphorylation more efficient than does cyclic photophosphorylation
C. Cyclic system is used when there is insufficient \( N A D P^{+} \) present to absorb electrons in plant cells
D. More carbohydrate is produced during cyclic photophosphorylation than during non-cyclic photophosphorylation
Subject: Chemistry
\( 10 \mathrm{ml} \) of \( \mathrm{CO} \) is mixed with \( 25 \mathrm{ml} \) air
having 20 per cent \( O_{2} \) by volume. What would be the final volume if none of \( \mathrm{CO} \)
and \( O_{2} \) is left after the reaction?
A . 30 \( m 1 \)
B. 40 \( m \)
c. \( 43 \mathrm{ml} \)
D. 49 \( m \)
Subject: Maths
If \( a_{n} \) is a sequence such that \( a_{1}=1 \)
\( \boldsymbol{a}_{2}=\mathbf{1}+\boldsymbol{a}_{1}, \boldsymbol{a}_{3}=\mathbf{1}+\boldsymbol{a}_{1} \boldsymbol{a}_{2}, \boldsymbol{a}_{n+1}= \)
\( 1+a_{1} a_{2} a_{3} \dots \dots a_{n} \) then find the value of \( \frac{1}{a_{1}}+\frac{1}{a_{2}}+\frac{1}{a_{3}}+\frac{1}{a_{4}} \dots \dots \)
Subject: Physics
Figure shows two blocks in contact
sliding down an inclined surface of
inclination \( 30^{0} . \) The friction coefficient
between the block of mass \( 2.0 \mathrm{kg} \) and
the incline is \( \mu_{1}=0.20 \) and that
between the block of mass \( 4.0 \mathrm{kg} \) and
the incline is \( \mu_{2}=0.30 . \) Find the
acceleration of \( 2.0 \mathrm{kg} \) block. \( g= \)
\( 10 m / s^{2} \)
\( \mathbf{A} \cdot 3.8 m / s^{2} \)
\( \mathbf{B} \cdot 5.1 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathbf{c} \cdot 1.2 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 2.7 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
A mass \( m_{1} \) with initial speed \( v_{0} \) in the
positive \( x \) -direction collides with a
\( \operatorname{mass} \boldsymbol{m}_{2}=2 \boldsymbol{m}_{1} \) which is initially at
rest at the origin, as shown in figure.
After the collision \( m_{1} \) moves off with
speed \( \boldsymbol{v}_{1}=\boldsymbol{v}_{0} / 2 \) in the negative \( \boldsymbol{y} \)
direction, and \( m_{2} \) moves off with speed
\( v_{2} \) at angle \( \theta . \) Determine \( \tan \theta, \) and find
\( v_{2} \) in terms of \( v_{0} \)
Subject: Physics
The radii and Young's moduli of two
uniform wires \( A \) and \( B \) are in the ratio
2: 1 and 1: 2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire \( A \) is one percent, the percentage
increase in length of the wire \( B \) is:
A . 1.0
в. 1.5
\( c .2 .0 \)
D. 3.0
Subject: Physics
A rubber ball drops from a height h and after rebounding twice from the ground, it rises to h/2. The co - efficient of
restitution is
A \( \cdot \frac{1}{2} \)
в. \( \quad\left(\frac{1}{2}\right)^{\frac{1}{2}} \)
c. \( \quad\left(\frac{1}{2}\right)^{\frac{1}{4}} \)
D.
Subject: Maths
Evaluate \( \int \sqrt{1+y^{2}} \cdot 2 y d y \)
A \( \cdot I=\frac{2}{3}\left(1+y^{2}\right)^{3 / 2}+C \)
B. \( _{I=} \frac{2}{5}\left(1-y^{2}\right)^{3 / 2}+C \)
c. \( _{I=} \frac{2}{3}\left(1-y^{2}\right)^{3 / 2}+C \)
D. None of these.
Subject: Physics
Sun radiates energy at the rate of \( 3.6 \times \)
\( 10^{26} \) Joule/s. The rate of decrease in
mass of the sun is \( \left(\text { in } \mathrm{kgs}^{-1}\right) \)
A \( .12 \times 10^{10} \)
B . \( 1.3 \times 10^{20} \)
c. \( 4 \times 10^{9} \)
D . \( 3.6 \times 10^{36} \)
Subject: Chemistry
Arrange the following alkyl chlorides in
order of decreasing reactivity in a \( \boldsymbol{S}_{N} \mathbf{1} \)
reaction.
(I) isopropyl bromide
(II) propyl bromide
(III) tert-butyl bromide
(IV) methyl bromide
\( A \cdot((11)>(1)>(11)>(1 v) \)
B. (I) > (III) > (IV) > (II)
\( c \cdot(\mid V)>(|| \mid)>(||)>(\mid) \)
\( D \cdot(1)>(\|)>(\| I)>(1 \vee) \)
Subject: Maths
Find the smallest positive values of \( x \) and y satisfying \( \boldsymbol{x}-\boldsymbol{y}=\frac{\boldsymbol{\pi}}{\boldsymbol{4}} \) and \( \cot \boldsymbol{x}+ \)
\( \cot \boldsymbol{y}=2 \)
A ' the least positive values of \( x \) and \( y \) are \( \frac{\pi}{6} \) and \( \frac{5 \pi}{12} \) respectively
B. The least positive values of \( x \) and \( y \) are \( \frac{5 \pi}{12} \) and \( \frac{\pi}{6} \) respectively
c. the least positive values of \( x \) and \( y \) are \( \frac{5 \pi}{6} \) and \( \frac{\pi}{3} \) respectively
D ' The least positive values of x and y are \( \frac{\pi}{3} \) and \( \frac{5 \pi}{6} \) respectively
Subject: Physics
A long solenoid having 200 turns per \( \mathrm{cm} \) carries a current of \( 1.5 a m p . \) At the centre of it is placed a coil of 100 turns
of cross-sectional are \( 3.14 \times 10^{-4} m^{2} \)
having its axis parallel to the field produced by the solenoid. When the direction of current in the solenoid is
reversed within 0.05 sec, the induced
e.m.f. in the coil is
A. \( 0.48 V \)
в. \( 0.048 V \)
\( \begin{array}{ll}.0 .0048 V & V \\ V V & 0.088\end{array} \)
D. \( 48 V \)
Subject: Chemistry
Choose the correct answer from the
alternative given.

Complete the following reactions.
\( (i) M n O_{4}^{-}+2 H_{2} O+3 e^{-} \rightarrow \)
\( +40 H^{-} \)
\( (i i) M n O_{4}^{-}+8 H^{+}+5 e^{-} \rightarrow \)
\( +4 H_{2} O \)
\( (i i i) M n O_{4}^{-}+e^{-} \rightarrow \)
\( \mathbf{A} \cdot M n O_{2}, M n^{2+}, M n O_{4}^{2} \)
B. \( M n^{2+}, M n O_{2}, M n O_{4}^{2} \)
c. \( M n O_{4}^{2-}, M n^{2+}, M n O_{4}^{2} \)
D. \( M n O_{2}, M n O_{4}^{2-}, M n^{2+} \)
Subject: Maths
The function \( f(x)= \)
\( \left\{\begin{array}{l}\frac{\cos 3 x-\cos 4 x}{x^{2}}, \text { for } x \neq 0 \\ \frac{7}{2}, \text { for } x=0\end{array} \) at \right.
\( \boldsymbol{x}=\mathbf{0} \) is
A. right continuous only
B. discontinuous
c. left continuous only
D. continuous
Subject: Physics
Three particles with masses 10,20 and 40 g are moving with velocities \( 10 \hat{i}, 10 \hat{j} \) and \( 10 \hat{k} m / \) sec respectively. If due to some interaction the first particle comes to rest and the velocity of second becomes \( (3 \hat{i}+4 \hat{j} m / s e c) . \) Then
the velocity of third particle after their interaction is:
\( \mathbf{A} \cdot \hat{i}+\hat{j}+5 \hat{k} \)
в. \( \hat{j}+10 \hat{k} \)
c. \( \hat{i}+\hat{j}+10 \hat{k} \)
D. \( \hat{i}+3 \hat{j}+10 \hat{k} \)
Subject: Physics
Let \( A \) be area swept out by the line joining the earth and the sun during Feb. \( 1993 . \) The area swept out by the line during a typical week in Feb. 1993 is.
A. \( A \)
в. \( 2 A \)
\( c \cdot 4 A \)
D. \( \frac{A}{4} \)
Subject: Physics
The acceleration of a particle which moves along the positive x-axis varies with its position as shown. If the
velocity of the particle is \( 0.8 m / s \) at \( x=0, \) the velocity of the particle at \( x= \)
1.4 is \( (\text { in } m / s) \)
A . 1.6
B. 1.2
c. \( 1 . \)
D. None of these
Subject: Maths
The eccentricity of the hyperbola whose latus-return is 8 and length of the conjugate axis is equal to half the distance between the foci, is
A \( \cdot \frac{4}{3} \)
B. \( \frac{4}{\sqrt{3}} \)
c. \( \frac{2}{\sqrt{3}} \)
D. None of these
Subject: Chemistry
\( \boldsymbol{P b}+ \) Conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) gives:
A \( \cdot P b\left(N O_{3}\right)_{2}+N O_{2} \)
в. \( P b\left(N O_{3}\right)_{2}+N O \)
c. \( P b\left(N O_{3}\right)_{2}+N O_{3} \)
D. \( P b\left(N O_{3}\right)_{2}+N_{2} O \)
E. None of these
Subject: Biology
If following data belongs to an adult male
Cardiac index \( = \)
cardiac output
Total body sur face
Total body surface area in adult \( =1.7 m^{2} \) Cardiac index
4litre / mt./ \( m^{2} \)
Heart rate
\( 68 / \) minute
End systolic volume
Total body surface area \( -1.7 m^{2} \)
Then choose the correct set of option.
A. cardiac output = 5 litre/minute. ; stroke volume = 70 \( \mathrm{ml} . ; \mathrm{EDV}=120 \mathrm{ml} \)
B. c.0. = 5 litre/minute. ; SV = 100 m!.; EDV = 50 m!
Subject: Physics
Suppose the exact charge neutrality does not hold in a world and the electron
has a charge \( 1 \% \) less in magnitude
than the proton. Calculate the Coulomb
force acting between two blocks of iron each of mass \( 1 k g \) separated by a distance of 1 m. The number of protons
in an iron atom \( =26 \) and \( 58 k g \) of iron
contains \( 6 \times 10^{26} \) atoms.
Subject: Chemistry
Which one of the following order is
correct for the bond energies?
\( \mathbf{A} \cdot I_{2}>\mathrm{Cl}_{2}>\mathrm{Br}_{2} \)
B. \( \mathrm{Br}_{2}>\mathrm{Cl}_{2}>\mathrm{I}_{2} \)
\( \mathbf{C} \cdot I_{2}>\mathrm{Br}_{2}>\mathrm{Cl}_{2} \)
\( \mathbf{D} \cdot \mathrm{Cl}_{2}>\mathrm{Br}_{2}>\mathrm{I}_{2} \)
Subject: Maths
If the distance between the plane,
\( 23 x-10 y-2 z+48=0 \) and the plane containing the lines \( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{2}}=\frac{\boldsymbol{y}-\boldsymbol{3}}{\boldsymbol{4}}= \)
\( \frac{z+1}{3} \) and \( \frac{x+3}{2}=\frac{y+2}{6}= \)
\( \frac{z-1}{\lambda}(\lambda \epsilon R) \) is equal to \( \frac{k}{\sqrt{633}} \) then \( k \) is
equal to
Subject: Physics
Due to air a falling body faces a resistive force proportional to square of velocity \( v, \) consequently its effective
downward acceleration is reduced and
is given by \( a=g-k v^{2} \) where \( k= \)
\( 0.002 m^{-1} . \) The terminal velocity of the
falling body is \( (\operatorname{in} \mathrm{m} / \mathrm{s}) \)
A . 60
B. 70
c. 80
D. 90
Subject: Chemistry
\( N a H C O_{3} \) can be used on its own to
make cakes or bread. Baking powder is more commonly used, and contains
\( N a H C O_{3}, C a\left(H_{2} P O_{4}\right)_{2} \) and starch. An
improved combination baking powder contains about \( 40 \% \) starch, \( 30 \% \)
\( N a H C O_{3} 20 \% N a A l\left(S O_{4}\right)_{2} \) and \( 10 \% \)
\( \boldsymbol{C a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \)
Answer the following questions based
on above study.
n improved baking powder,
\( N a A l\left(S O_{4}\right)_{2} \) is used for :
A. makes the decomposition of \( \operatorname{NaH} \mathrm{CO}_{3} \) faster
B. slows the decomposition of \( N a H C O_{3} \)
c. acts as filler
D. makes the bread rise
Subject: Chemistry
In a certain Bohr orbit, the total energy
is \( -4.9 e V . \) For this orbit, the kinetic
energy, and potential energy are
respectively:
A. \( 9.8 e V,-4.9 e V \)
в. \( 4.9 e V,-9.8 e V \)
c. \( 4.9 e V,-4.9 e V \)
D. \( 9.8 e V,-9.8 e V \)
Subject: Chemistry
\( A n^{3+} \) (trivalent actinoid ions) have
configuration
A \( .5 f^{0} \) to \( 5 f^{14} \)
B. \( 5 f^{1} \) to \( 5 f^{14} \)
\( \mathbf{c} \cdot 5 f^{2} \) to \( 5 f^{1} \)
D. \( 5 f^{0} \) to \( 5 f^{13} \)
Subject: Chemistry
The enthalpy of formation of
\( \boldsymbol{C} \boldsymbol{O}_{(g)}, \boldsymbol{C} \boldsymbol{O}_{2(g)}, \boldsymbol{N}_{2} \boldsymbol{O}_{(\boldsymbol{g})} \) and \( \boldsymbol{N}_{2} \boldsymbol{O}_{4(\boldsymbol{g})} \) is
-110,-393,+811 and \( 10 k J / m o l \)
respectively. For the reaction,
\( N_{2} O_{4(g)}+3 C O_{(g)} \rightarrow N_{2} O_{(g)}+ \)
\( \mathbf{3} C O_{2(g)} \cdot \triangle \boldsymbol{H}_{r}(\boldsymbol{k} \boldsymbol{J} / \boldsymbol{m o l}) \) is
\( \mathbf{A} \cdot-212 \)
B. +212
\( \mathbf{c} \cdot+48 \)
D. -48
Subject: Physics
A wire carrying \( 5.0 V \) is applied to a primary coil of the transformer. The
primary coil has 10 turns and the secondary coil has 20 turns. Find out the emf induced in the secondary coil?
\( \mathbf{A} \cdot 0.50 V \)
в. \( 5.0 V \)
c. \( 10 V \)
D. \( 50 V \)
E . \( 100 V \)
Subject: Physics
The edge of a cube is \( a=1.2 \times 10^{-2} m \)
Then its volume will be recorded as :
A \( \cdot 1.7 \times 10^{-6} m^{3} \)
В. \( 1.70 \times 10^{-6} m^{3} \)
C. \( 1.70 \times 10^{-7} m^{3} \)
D. \( 1.78 \times 10^{-6} m^{3} \)
Subject: Chemistry
Which of the following statements
is/are correct?
This question has multiple correct options
A. Molecular formula or molecular mass of a gaseous hydrocarbon can be determined even without knowing their percentage composition by audiometry
B. In Lassaigne's test, N and S both present in the organic compounds are converted into \( C N S \) ion
\( \mathrm{C} \cdot K_{2} S O_{4} \) and \( C u S O_{4} \) are added in Kjeldahl's method. \( K_{2} S O_{4} \) acts as a catalyst while \( C u S O_{4} \) raises the
boiling point of \( H_{2} S O_{4} \)
D. Layer test is used to distinguish \( C l^{\ominus} \) and \( B r^{\ominus} \) ions
Subject: Chemistry
To prepare \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\mathbf{6}} \) at \( 573 \mathrm{K}, \mathbf{5 0}-60 \)
atm pressure, the ratio of xenon and
fluorine used is :
A \( \cdot 1: 2 \)
B. 1: 5
\( c \cdot 1: 20 \)
D. 10:1
Subject: Chemistry
Predict if there will be any precipitate by mixing \( 50 \mathrm{mL} \) of \( 0.01 \mathrm{M} \) NaCl and 50
mL of \( 0.01 \mathrm{M} A g N O_{3} \) solution. The
solubility product of \( A g C l \) is \( 1.5 \times \)
\( 10^{-10} \)
A. since ionic product is greater than solubility product no precipitate will be formed
B. since ionic product is lesser than solubility product. precipitation will occur
c. since ionic product is greater than solubility product. precipitation will occur.
D. since ionic product and solubility product are same, precipitation will not occur
Subject: Physics
A wire carrying a current of \( 100 A \) is bent into the form of a circle of radius
5cm. The flux density at the centre of
the coil is \( _{-}-_{-}-_{-}-_{-} W b / m^{2} \)
\begin{tabular}{l} 
A \( \cdot 12.57 \times 10^{-5} \) \\
\hline
\end{tabular}
B . \( 125.7 \times 10^{-5} \)
c. \( 1.257 \times 10^{-5} \)
D. \( 1257 \times 10^{-5} \)
Subject: Maths
The normal to the curve \( y(x-2)(x- \)
\( \mathbf{3})=\boldsymbol{x}+\boldsymbol{6} \) at the point where the curve
intersects the y-axis passes through the point.
\( ^{A} \cdot\left(-\frac{1}{2},-\frac{1}{2}\right) \)
в. \( \left(\frac{1}{2}, \frac{1}{2}\right) \)
\( ^{\mathrm{c}} \cdot\left(\frac{1}{2},-\frac{1}{3}\right) \)
D \( \cdot\left(\frac{1}{2}, \frac{1}{3}\right) \)
Subject: Physics
A body is accelerated by applying a force of 30 N. The change in the momentum of the body after 2 sec is?
A. \( 7.5 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
B. \( 30 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
c. \( 120 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
D. \( 60 \mathrm{kg}-\mathrm{m} / \mathrm{s} \)
Subject: Physics
Two point charges \( q_{1} \) and \( q_{2} \) are located
at \( \overrightarrow{r_{1}} \) and \( \overrightarrow{r_{2}} \) respectively in an external
electric field \( E \).Total work done
in assembling this configuration \( \frac{\boldsymbol{E}\left(\boldsymbol{q}_{1}+\boldsymbol{q}_{2}\right)}{\boldsymbol{\delta l}} . \) Type 1 for true and 0 for false