AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A body dropped from a height \( h \) with initial velocity zero, strikes the ground with velocity \( 3 \mathrm{m} / \mathrm{s} \). Another body of the same mass is dropped from the height \( \boldsymbol{h} \) with an initial velocity of \( \mathbf{4} \mathrm{m} / \mathrm{s} \). Find the velocity with which it strikes the
ground.
\( A \cdot 3 m / s \)
B. \( 4 \mathrm{m} / \mathrm{s} \)
\( c \cdot 5 m / s \)
D. \( 12 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Calculate mean deviation about
median for the given data
\( \begin{array}{lllll}\text { Class } & 0- & 10- & 20- & 4 \\ & 10 & 20 & 30 & 5\end{array} \)
5 Frequency 4
A . 2.3
в. 11.3
c. 12
D. 15
Subject: Chemistry
\( 100 \mathrm{ml} \mathrm{CuSO}_{4} \) (aq) was electrolyzed using inert electrodes by passing 0.965 A till the \( p H \) of the resulting solution was \( 1 . \) The solution after electrolysis was
neutralized, treated with excess \( K I \)
and titrated with \( 0.04 \mathrm{M} N a_{2} S_{2} O_{3} \)
Volume of \( N a_{2} S_{2} O_{3} \) required was 35
ml. Assume no volume change
during electrolysis. If the initial
concentration \( (\mathrm{M}) \) of \( \mathrm{CuSO}_{4} \) was \( 64 \times \)
\( 10^{-x}, \) then what is the value of \( x ? \)
Subject: Physics
A block of mass \( m \) moving with speed \( v \)
collides with another block of mass \( 2 m \)
at rest. The lighter block comes to rest after collision. What is the value of
coefficient of restitution?
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{3}{4} \)
D. \( \frac{1}{4} \)
Subject: Maths
Solve: \( \boldsymbol{y}^{\prime}=\frac{\mathbf{3} \boldsymbol{x}-\boldsymbol{y}}{\boldsymbol{x}+\boldsymbol{y}} \)
\( \mathbf{A} \cdot(3 x+y)(x-y)=c_{0} \)
B \( \cdot(3 x-y)(x+y)=c_{0} \)
\( \mathbf{c} \cdot(x-3 y)(3 x+y)=c_{0} \)
\( \mathbf{D} \cdot(x+3 y)(x-y)=c_{0} \)
Subject: Chemistry
Assertion: Input of energy is required by electrolytic cells. Reason: Electrolytic cells have just one container, while voltaic cells have two
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
Assertion
La'should be the \( f \) -block element
according to Aufbau principle.
Reason
57 th electron exceptionally enters into
the \( 5 d \) -orbital.

Read the above assertion and reason
and choose the correct option regarding
¡t.
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 are incorrect
Subject: Maths
In the given figure, \( \overline{P L} \perp \overline{O B} \) and \( \boldsymbol{P M} \perp \overline{\boldsymbol{O} \boldsymbol{A}} \) such that \( \overline{\boldsymbol{P} \boldsymbol{L}}=\overline{\boldsymbol{P} \boldsymbol{M}} . \) Is
\( \triangle P L O \cong \triangle P M O ? \) Give reasons in
support of your answer
Subject: Chemistry
A formula analogous to the Rydberg formula applies to the series of spectral
lines which arise from transitions from
higher energy level to the lower energy
level of hydrogen atom.
A muonic hydrogen atom is like a hydrogen atom in which the electron is
replaced by a heavier particle, the muon'. The mass of the muon is about
207 times the mass of an electron,
while the charge remains same as that
of the electron. Rydberg formula for hydrogen atom is:
\( \frac{1}{\lambda}= \)
\( \boldsymbol{R}_{\boldsymbol{H}}\left[\frac{\mathbf{1}}{\boldsymbol{n}_{\mathbf{1}}^{2}}-\frac{\mathbf{1}}{\boldsymbol{n}_{2}^{2}}\right]\left(\boldsymbol{R}_{\boldsymbol{H}}=\mathbf{1 0 9 6 7 8 c m}^{-1}\right) \)
Radius of first Bohr orbit of muonic
hydrogen atom is
A \( \cdot \frac{0.259}{207} \dot{A} \)
B. \( \frac{0.529}{207} \),
c. \( 0.529 \times 207 \hat{A} \)
D. \( 0.259 \times 207 \dot{A} \)
Subject: Physics
The period of oscillation of a simple pendulum is \( T=2 \pi \sqrt{\frac{L}{g}} . \) Measured of \( L \) is \( 20.0 \mathrm{cm} \) known to \( 1 \mathrm{mm} \) accuracy
and time for 100 oscillations of the
pendulum is found to be 90 s using a
wrist watch of \( 1 s \) resolution. The
accuracy in the determination of \( g \) ?
A . \( 2.5 \% \)
в. \( 2.7 \% \)
c. \( 2 \% \)
D. 3\%
Subject: Physics
Twelve identical resistors of \( 6 \Omega \)
each are connected to form a cube as
shown above. The effective resistance
across the solid diagonal, AG is :
\( A .5 \Omega \)
B. \( 4.5 \Omega \)
\( c .3 .5 \Omega \)
\( \mathbf{D} \cdot 1.5 \Omega \)
Subject: Physics
Average Kinetic energy in one time
period in an SHM is (Where \( m, \omega \) and \( y_{0} \)
are mass of particle, angular velocity and maximum displacement respectively)
\( ^{A} \cdot \frac{m \omega^{2} y_{0}^{2}}{2} \)
B . \( m \omega^{2} y_{0}^{2} \)
c. \( \frac{m \omega^{2} y_{0}^{2}}{3} \)
D. \( \frac{m \omega^{2} y_{0}^{2}}{4} \)
Subject: Maths
OPQR is a square, \( M \) and \( N \) are the
middle points of the sides \( P Q \) and \( Q R \)
respectively. This question has multiple correct options
A. ratio of the areas of quadriateral \( O M N R \) and the square is 5: 8
B. ratio of the areas of the \( \Delta M Q N \) and \( \Delta O M N \) is 1: 3
C. ratio of the areas of the \( \Delta O P M \) and \( \Delta O R N \) is 1: 1
D. ratio of the areas of quadriateral \( O M Q N \) and the square is 1: 2
Subject: Maths
If \( \cos \Theta_{1}+\cos \Theta_{2}+\cos \Theta_{3}=3, \) find
\( \sin \Theta_{1}+\sin \Theta_{2}+\sin \Theta_{3} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3
Subject: Chemistry
\( 2 S O_{3} \rightleftharpoons 2 S O_{2}+O_{2} . \) If \( K_{c}=100, \alpha=1 \)
half of the reaction is completed, the
concentration of \( S O_{3} \) and \( S O_{2} \) are
equal, the concentration of \( O_{2} \) is ?
A. \( 0.001 M \)
M
в. \( \frac{1}{2} S O_{2} \)
\( \mathrm{c} \cdot 2 \) times of \( \mathrm{SO}_{2} \)
D. Data incomplete
Subject: Physics
A jet plane starts from rest at \( S=0 \) and
is subjected to the acceleration shown.
Determine the speed of the plane when
it has traveled \( 60 m \).
A. \( 46.47 \mathrm{m} / \mathrm{s} \)
В. \( 36.47 \mathrm{m} / \mathrm{s} \)
c. \( 26.47 m / s \)
D. \( 16.47 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
The energy of an electron in the \( n^{t h} \) Bohr orbit of hydrogen atom is:
A \( \cdot \frac{13.6}{n^{3}} e V \)
В. \( -\frac{13.6}{n^{3}} e V \)
c. \( -\frac{13.6}{n^{2}} e V \)
D. \( -\frac{13.6}{n} e V \)
Subject: Chemistry
Which of the following statements are
correct?
This question has multiple correct options
\( \mathbf{A} \cdot O_{2}^{+} \) has higher bond energy than \( O_{2} \)
B. Bond length of \( O_{2} \) is \( 0.121 n m \) and bond length of \( O_{2}^{-} \) is \( 0.112 n m \)
C. The hybrid orbitals of \( C \) in \( C O \) can be shown by \( (s p)^{2}(s p)^{0}\left(p_{x}\right)^{1}\left(p_{y}\right)^{1} \)
D. Bond dissociation energy of \( C l_{2} \) is greater than \( F_{2} \)
Subject: Maths
When a natural number \( x \) is divided by
\( 5, \) the remainder is \( 2 . \) When a natural number y is divided by 5, the remainder is \( 4 . \) The remainder is \( z \) when \( x+y \) is divided by 5. The value of \( \frac{2 z-5}{3} \) is
A . -
в.
\( c \cdot-2 \)
D.
Subject: Physics
The tube length of microscope is \( 10 \mathrm{cm} \) and the focal length of its objective is 5 \( \mathrm{cm} . \) If the eye lens has focal length 0.5 \( \mathrm{cm} . \) then the magnification of microscope for relaxed eye is :
A . 45
в. 100
c. 25
D. 10
Subject: Physics
What is the strength of the electric field in the velocity selector?
A \( \cdot 2 \times 10^{5} N C^{-1} \)
B . \( 2 \times 10^{3} N C^{-1} \)
c. \( 2 \times 10^{6} N C^{-1} \)
D. \( 2 \times 10^{4} N C^{-1} \)
Subject: Chemistry
If \( \Delta H_{f}^{o}\left(N H_{3}\right)=-46.1 k J \) and \( \Delta H^{o} \)
of the reaction \( N_{2} H_{4}(g) \rightarrow \)
\( 2 N H_{3}(g) i s-187.6 k J, \) then
\( \Delta H_{f}^{o}\left(N_{2} H_{4}\right) \) is:
A. \( -95.4 k J \)
в. \( +95.4 k J \)
c. \( -141.5 k J \)
D . \( -233.7 k J \)
Subject: Physics
Q Type your question
1.5 has a radius of curvature \( 20 \mathrm{cm} . \) The
concave surface has a radius of
curvature \( 60 \mathrm{cm} . \) The convex side is
silvered and placed on a horizontal
surface.
If the concave part is filled with water of
refractive index \( 4 / 3, \) find the distance
through which the pin should be moved
so that the image of the pin again
coincides with the pin?
A. \( \Delta x=1.15 c m, u p \)
B. \( \Delta x=3.15 \mathrm{cm}, \) down
c. \( \Delta x=0.05 c m, u p \)
\( \Delta x=1.15 c m, d o w n \)
Subject: Chemistry
In passing \( 3 \mathrm{F} \) of electricity through three electrolytic cells connected in
series containing \( \boldsymbol{A} \boldsymbol{g}^{\oplus}, \boldsymbol{C} \boldsymbol{a}^{2+}, \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{A} \boldsymbol{l}^{3} \)
ions, respectively. The molar ratio in
which the three metal ions are liberated
at the electrode is:
A. 1: 2: 3
B . 2: 3: 1
c. 6: 3: 2
D. 3: 4: 2
Subject: Biology
Assertion
Non-striated muscles are said to be
voluntary in nature
Reason
Non-striated muscles can be moved
according to will
A. If both the assertion and the reson are true and the
reason
is correct explanation of the assertion.
B. If both the assertion and the reson are true but the reason
is not correct explanation of the assertion.
c. If the assertion is true but the reason is false
D. If both the assertion and reason are false
Subject: Physics
A liquid of density \( \rho \) is filled in a U-tube.
The tube is accelerated with an
acceleration a so that the height of
liquid in its two vertical arms are \( \boldsymbol{h}_{\mathbf{1}} \)
and \( h_{2} \) as shown in the fig, If I is the
length of horizontal arm of the tube, the
acceleration a is:
A \( \cdot \frac{g\left(h_{1}-h_{2}\right)}{2 \quad l} \) towards right
B. \( \frac{g\left(h_{1}-h_{2}\right)}{2 \quad l} \) towards \( \quad \) left
c. \( \frac{g\left(h_{1}-h_{2}\right)}{l} \) towards right
D. \( \frac{g\left(h_{1}-h_{2}\right)}{l} \) towards left
Subject: Physics
Q Type your question
light string of length 2a. The whole
system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance a from centre P(as shown in the figure)
Now, the mid-point of the string is pulled vertically upwards with a small but constant force \( F \). As a result, the
particles move towards each other on the surface. The magnitude of acceleration, when the separation
between them becomes \( 2 x \) is:
\( ^{A} \cdot \frac{F}{2 m} \frac{a}{\sqrt{a^{2}-x^{2}}} \)
в. \( \frac{F}{2 m} \frac{x}{\sqrt{a^{2}-x^{2}}} \)
c. \( \frac{F}{2 m} \frac{x}{a} \)
D. \( \frac{F}{2 m} \frac{\sqrt{a^{2}-x^{2}}}{x} \)
Subject: Chemistry
Which of the following is not an example of a heterogeneous catalysis?
This question has multiple correct options
A. Formation of \( S O_{3} \) In the chamber process.
B. Formation of \( S O_{3} \) in the contact process.
C. Hydrolysis of an ester in the presence of \( H^{+} \) ions.
D. Combination of \( H_{2} \) and \( C l_{2} \) in the presence of
moisture.
Subject: Maths
Find the Arithmetic mean of the
following data using direct method.
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline Marks obtained & 50 & 60 & 70 & 80 & 90 & 100 \\
\hline No of students & 3 & 7 & 5 & 2 & 10 & 2 \\
\hline
\end{tabular}
\( \mathbf{A} \cdot 75.17 \)
B . 67.17
\( \mathbf{c} .76 .1 \)
D. 57.177
Subject: Maths
If the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left(a^{2}-3 a+2\right) \cos \frac{x}{2}+(a-1) x \)
possesses critical points, then \( a \) belongs to the interval
\( \mathbf{A} \cdot(-\infty, 0) \cup(4, \infty) \)
B . \( (-\infty, 0] \cup[4, \infty) \)
\( \mathbf{c} \cdot(-\infty, 0] \cup\{1\} \cup[4, \infty) \)
D. None of these
Subject: Chemistry
The oxidation number of Cr is +6
in

This question has multiple correct options
A \( \cdot \operatorname{Fe} C r_{2} O_{4} \)
в. \( K C r O_{3} C l \)
c. \( C r O_{5} \)
D. \( \left[C r(O H)_{4}\right]^{-} \)
Subject: Maths
In the parallelogram ABCD, the angles A
and \( C \) are obtuse. Points \( X \) and \( Y \) are
taken on the diagonal BD such that the angles \( \mathrm{XAD} \) and \( \mathrm{YCB} \) are right angles.
Prove that: \( X A=Y C \).
State whether the above statement is
true or false.
A. True
B. False
Subject: Physics
Four wires are made from the same
metal.
Which wire has the lowest resistance?
A. Length of wire / \( \mathrm{cm}-20 \), Diameter of wire / \( \mathrm{mm}-0.20 \)
B. Length of wire / \( \mathrm{cm}-20 \), Diameter of wire / \( \mathrm{mm}-0.40 \)
C. Length of wire / \( \mathrm{cm}-40 \), Diameter of wire / \( \mathrm{mm}-0.20 \)
D. Length of wire / \( \mathrm{cm}-40 \), Diameter of wire / \( \mathrm{mm}-0.40 \)
Subject: Chemistry
\( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{H} \boldsymbol{S}(s) \rightleftharpoons \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g}) \)
What is the \( K_{p} \) of the reaction if the total pressure at equilibrium is 30
atm?
A .15 atm\( ^{2} \)
B. 225 atm \( ^{2} \)
c. 30 at \( m^{2} \)
D. 15 atm
Subject: Chemistry
For a gas having molar mass \( \mathrm{M} \), specific heat at constant pressure can be given
as:
A \( \frac{\gamma R}{M(\gamma-1)} \)
в. \( \frac{\gamma}{R M} \)
c. \( \frac{M}{R(\gamma-1)} \)
D. \( \frac{\gamma R M}{\gamma+1} \)
Subject: Chemistry
Magnetic moments of \( \boldsymbol{C r}(\boldsymbol{Z}=\mathbf{2 4}) \)
\( \operatorname{Mn}(Z=25) \) and \( F e(Z=26), \) are
\( \boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z} \)
They are in order:
A. \( x<y<z \)
В. \( x=y<z \)
c. \( x>y>z \)
D. \( x=y=z \)
Subject: Physics
Assertion
If the potential difference applied to an electron is made 4 times, the de Broglie
wavelength associated is halved.
Reason
On making potential difference 4 times, velocity is doubled and hence \( d \) is halved.
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
An equlimolar quantities of ethanol and
propanol are heated with conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
The products formed is/ are :
A. \( C_{2} H_{5} O C_{2} H_{5} \)
в. \( C_{3} H_{7} O C_{3} H_{7} \)
c. \( C_{2} H_{5} O C_{3} H_{7} \)
D. all of these
Subject: Physics
A nuclide \( A \) undergoes \( \alpha \) decay and
another nuclide \( B \) undergoes \( \beta \) decay.
Then
This question has multiple correct options
A. all the \( \alpha \) -particles emitted by \( A \) will have almost the same speed
B. the \( \alpha \) -particles emitted by \( A \) may have widely different speeds
C . all the \( \beta \) -particles emitted b \( B \) will have almost the same speed
D. the \( \beta \) -particles emitted by \( B \) may have widely different speeds.
Subject: Maths
set the following vectors in the increasing order of their magnitudes.
a) \( 3 i+4 j \)
b) \( 2 i+4 j+6 k \)
c)2i+2j+2k
A. b,a c
B. \( c, a, b \)
\( c \cdot a, c, b \)
\( D \cdot a, b, c \)
Subject: Physics
When a man moves down the inclined
plane with a constant speed \( 5 m s^{-1} \)
which makes an angle of \( 37^{\circ} \) with the horizontal, he finds that the rain is
falling vertically downward. When he moves up the same inclined plane with
the same speed, he finds that the rain makes an angle \( \theta=\tan ^{-1}\left(\frac{7}{8}\right) \) with the horizontal. The speed of the rain is
A \( \cdot \sqrt{116} \mathrm{ms}^{-1} \)
B. \( \sqrt{32} \mathrm{ms}^{-1} \)
c. \( 5 m s^{-1} \)
D. \( \sqrt{73} \mathrm{ms}^{-1} \)
Subject: Chemistry
a) An organic compound (A) of
molecular formula \( C_{7} H_{6} O \) is not reduced by fehling's solution but will undergo cannizaro reaction. Compound
(A) reacts with aniline to give compound (B)
compound
(A) also reacts with \( C l_{2} \) in
the absence of catalyst to give compound
(C). Identify \( A, B \) and \( C \) and explain the reactions.
b) The \( K_{a} \) of propanoic acid is \( 1.34 \times \)
\( 10^{-5} . \) What is the \( p H \) of a solution
containing 0.5M propanoic acid and 0.5M sodium propanoate?
Subject: Physics
Figure given below shows uniformly
positively charged, thin rod of length \( L \)
and four points \( A, B, C \) and \( D \) at the
same distance \( d \) from the rod, with
position as marked. If \( V_{A}, V_{B}, V_{C} \) and
\( V_{D} \) are their respective potentials then.
A \( \cdot V_{B}>V_{A}>V_{C}>V_{D} \)
в. \( V_{B}>V_{A}>V_{C}=V_{D} \)
\( \mathbf{c} \cdot V_{A}=V_{B}>V_{C}=V_{D} \)
D. \( V_{D}>V_{B}>V_{A}>V_{C} \)
Subject: Physics
Two particles of masses \( 2 \mathrm{kg} \) and \( 4 \mathrm{kg} \) are approaching towards each other with acceleration \( 1 \mathrm{m} / \mathrm{s}^{2} \) and \( 2 \mathrm{m} / \mathrm{s}^{2} \)
respectively, on a smooth horizontal surface. Them find the acceleration of
centre of mass of the system and
direction of acceleration of \( C O M \)
Subject: Physics
Neutron decay in free space is given as follows
\( \mathbf{o} \boldsymbol{n}^{\mathbf{1}} \longrightarrow \mathbf{1} \boldsymbol{H}^{\mathbf{1}}+\mathbf{i} \boldsymbol{e}^{\mathbf{0}}+[\mathbf{]} \)
Then the parenthesis [] represents a
A. neutrino
B. photon
c. antineutrino
D. graviton
Subject: Chemistry
Which of the following statements is/are correct?
I. The formula of cellulose is \( \left(C_{6} H_{10} O_{5}\right) \)
II. The formula of sucrose, maltose and
lactose is \( C_{12} H_{22} O_{11} \)
III.The formula of Glucose, Fructose and
Ribose is \( C_{6} H_{12} O_{6} \)
IV. The formula of Fructose of \( C_{6} H_{12} O_{6} \)
A . all
B. ।, ॥ land IV
c. ॥, ॥ा and ।
D. I, III and IV
Subject: Maths
\( \int \frac{x d x}{(x-1)(x-2)} \) equals
\( ^{\mathbf{A}} \cdot \log \left|\frac{(x-1)^{2}}{x-2}\right|+C \)
\( ^{\mathbf{B}} \cdot \log \left|\frac{(x-2)^{2}}{x-1}\right|+C \)
\( ^{\mathrm{c}} \log \left(\left(\frac{x-1}{x-2}\right)^{2} \mid+C\right. \)
D. \( \log |(x-1)(x-2)|+C \)
Subject: Chemistry
Which one of the following forms a colourless solution in an aqueous medium?
[Atomic number \( \boldsymbol{S c}=\mathbf{2 1}, \boldsymbol{T} \boldsymbol{i}= \)
\( \mathbf{2 2}, \boldsymbol{V}=\mathbf{2 3}, \boldsymbol{C r}=\mathbf{2 4}] \)
\( \mathbf{A} \cdot V^{3} \)
в. \( C r^{3} \)
\( c \cdot T i^{3} \)
D. \( S c^{3} \)
Subject: Physics
A conducting loop in the shape of a right angled isosceles triangle of height
\( 10 \mathrm{cm} \) is kept such that the \( 90^{\circ} \) vertex
is very close to an infinitely long conducting wire (see the figure). The wire is electrically insulated from the loop. The hypotenuse of the triangle is parallel to the wire. The current in the triangular loop is in counter clockwise direction and increased at a constant
rate of \( 10 A s^{-1} . \) Which of the following
statement (s) is (are) true?
This question has multiple correct options
A. There is a repulsive force between the wire and the loo
B. If the loop is rotated at a constant angular speed about the wire, an additional emf of \( \left(\frac{\mu_{0}}{\pi}\right) \) volt is induced in the wire
C . The magnitude of induced emf in the wire is \( \left(\frac{\mu_{0}}{\pi}\right) \) vo
duced current in the wire is in opposite directic to the current along the hypo
Subject: Chemistry
For the decomposition of 1 mole of
sodium chlorate, determine \( \Delta \boldsymbol{H}_{\text {reaction}} \)
\( \left(\Delta H_{f}^{0} \text { values: } N a C l O_{3}(s)=-85.7\right. \)
kcal/ mol, \( N a C l(s)=-98.2 \mathrm{kcal} / \mathrm{mol} \)
\( \left.\boldsymbol{O}_{2}(\boldsymbol{g})=\mathbf{0} \text { kcal } / \text { mol }\right) \)
A . -183.9 kcal
B. -91.9 kcal
c. +45.3 kcal
\( \mathbf{D} \ldots+22.5 \mathrm{kcal} \)
E . -12.5 kcal
Subject: Maths
If \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\boldsymbol{x}^{-3} \) then \( \boldsymbol{y} \)
A. \( -\frac{1}{2 x^{2}}+c \)
в. \( \frac{1}{2 x^{2}}+c \)
c. \( -\frac{1}{3 x^{3}}+c \)
D. \( -\frac{1}{4 x^{4}}+c \)
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.
\( \boldsymbol{C} \boldsymbol{a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \) in baking powder:
A. behaves as an acid in moist condition and decomposes \( N a H C O_{3} \) to give \( C O_{2} \)
B. behaves as a base in moist condition and gives \( H_{3} P O_{4} \)
c. behaves as a binder
D. behaves as a filler
Subject: Physics
The total flux associated with given
cube will be-
where \( ^{\prime} \boldsymbol{a}^{\prime} \) is side of cube \( :\left(\frac{\mathbf{1}}{\boldsymbol{\epsilon}_{\mathbf{0}}}=\mathbf{4} \boldsymbol{\pi} \times\right. \)
\( 9 \times 10^{9} \) SI unit)
A \( \cdot 162 \pi \times 10^{-3} N m^{2} / C \)
B . \( 162 \pi \times 10^{3} \mathrm{Nm}^{2} / \mathrm{C} \)
C \( \cdot 162 \pi \times 10^{-6} N m^{2} / C \)
D. \( 162 \pi \times 10^{6} \mathrm{Nm}^{2} / \mathrm{C} \)
Subject: Chemistry
Aniline is reacted with bromine water
and the resulting product is treated with an aqueous solution of sodium nitrite in presence of dilute hydrochloric acid. The compound so formed is reacted with a tetrafluoroborate which
is subsequently heated. The final
product is:
A. \( p \) - bromoaniline
в. \( p \) - bromofluorobenzene
c. \( 1,3,5- \) tribromobenzene
D. \( 2,4,6- \) tribromofluorobenzene
Subject: Biology
Which of the following statements
about the transmission of the nerve
impulse is incorrect?
A. Nerve impulse travels from dendritic end towards axonal end.
B. At the dendritic end, electrical impulses bring about the release of some chemicals which generate an electrical impulse at the axonal end of another neuron.
C. The chemicals released from the axonal end of one
neuron cross the synapse and generate a similar electrical impulse in a dendrite of another neuron.
D. A neuron transmits electrical impulses not only to another neuron but also to muscle and gland cells.
Subject: Physics
A \( 10-k g \) block is pulled in the vertical
plane along a frictionless surface in the
form of an arc of a circle of radius \( 10 \mathrm{m} \)
The applied force is \( 200 N \) as shown in
the figure.If the block started from rest
at \( A, \) the velocity at \( B \) would be
A . \( 1.732 \mathrm{m} / \mathrm{s} \)
B. \( 17.32 \mathrm{m} / \mathrm{s} \)
c. \( 173.2 \mathrm{m} / \mathrm{s} \)
D. none of these
Subject: Maths
If \( l, m \) and \( n \) are the directional cosines
of a vector, then:
A. \( l+m+n=1 \)
B. \( l^{2}+\mathrm{m}^{2}+\mathrm{n}^{2}=1 \)
c. \( l^{2}+\mathrm{m}^{2}+\mathrm{n}^{2}=0 \)
D. \( l+\mathrm{m}+\mathrm{n}=0 \)
Subject: Physics
The gravitational force between two objects is proportional to \( \frac{1}{R} \) (and not as \( \left.\frac{1}{R^{2}}\right) \) where \( R \) is separation between them then a particle in a circular orbit under such a force would have its orbital speed
\( \nu \) proportional to
A \( \cdot \frac{1}{R^{2}} \)
B . \( R^{0} \)
c. \( R^{\text {। }} \)
D. \( \frac{1}{R} \)
Subject: Physics
A body, projected vertically up with a velocity of \( 20 m s^{-1}, \) reaches a height of \( 20 m . \) If it is projected with a velocity of
\( 40 m s^{-1}, \) then the maximum height
reached by the body is:
A . \( 20 m \)
в. 10 т
\( c .80 m \)
D. \( 40 m \)