AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Show that the function of \( \boldsymbol{y}= \)
\( A \sin 2 x+B \cos 2 x \) satisfies the
differential equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+\boldsymbol{4} \boldsymbol{y}=\mathbf{0} \)
Subject: Biology
The normal systolic and diastolic
pressure in human beings is
A. \( 80 / 120 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. 130/90 mm of Hg
c. \( 120 / 80 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. 140/80 mm of Hg
Subject: Physics
Light of two different frequencies whose photons have energies leV and \( 2.5 \mathrm{eV} \) successively illuminate a metal of work
function 0.5 eV.The ratio of the
maximum speeds of the emitted
electrons will he
A .1: 5
B. 1: 4
\( c \cdot 1: 2 \)
D. 1:
Subject: Chemistry
The specific conductance of a
\( 0.1 N K C l \) solution at \( 23^{\circ} C \) is
0.0112 oh \( m^{-1} c m^{-1} . \) The resistance of
the cell containing the solution at the
same temperature was found to be \( \mathbf{5 5} \) ohm. The cell constant will be:
A. \( 0.142 \mathrm{cm}^{-1} \)
B. \( 0.918 \mathrm{cm}^{-1} \)
c. \( 1.12 \mathrm{cm}^{-1} \)
D. \( 0.616 \mathrm{cm}^{-1} \)
Subject: Maths
The slope of the tangent to the curve \( \boldsymbol{x}=\mathbf{3} \boldsymbol{t}^{2}+\mathbf{1}, \boldsymbol{y}=\boldsymbol{t}^{3}-\mathbf{1} \) at \( \boldsymbol{x}=\mathbf{1} \) is
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot-2 \)
\( D \cdot \infty \)
Subject: Chemistry
Which of the following is incorrect?
A \( . \) lonic product of \( D_{2} O>H_{2} O \)
B. Solubility of inorganic substances of \( H_{2} O>D_{2} O \)
C . Mass of \( D_{2} O>H_{2} O \)
D. Heat of fusion of \( D_{2} O>H_{2} O \)
Subject: Physics
An object of mass \( 2 \mathrm{kg} \) is sliding with a
constant velocity of \( 4 m s^{-1} \) on a frictionless horizontal table. The force
required to keep the object moving with the same velocity is:
A. 32 N
B. on
\( c \cdot 2 n \)
\( D \cdot 8 N \)
Subject: Physics
A cell of constant emf first connect to a
resistance \( R_{1} \) and then to connected to
the resistance \( R_{2} . \) If power delivered in
both cases in the same then internal
resistance of the cell
A. \( \frac{R_{1}-R_{2}}{2} \)
B \( . R_{1}+R_{2} \)
c. \( \sqrt{R_{1} R_{2}} \)
D. \( \sqrt{R_{1}+R_{2} / 2} \)
Subject: Physics
In the case of the waves from two
coherent sources \( S_{1} \) and \( S_{2}, \) there will
be constructive interference at an
arbitrary point \( P \), the path difference
\( \boldsymbol{S}_{1} \boldsymbol{P}-\boldsymbol{S}_{2} \boldsymbol{P} \) is then
A \( \cdot\left[n+\frac{1}{2}\right] \lambda \)
B. \( n \lambda \)
c. \( \left[n-\frac{1}{2}\right] \lambda \)
D. \( \frac{\lambda}{2} \)
Subject: Maths
A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is
defective is.
\( ^{A} \cdot\left(\frac{1}{10}\right)^{5} \)
B. \( \left(\frac{1}{2}\right)^{5} \)
\( ^{\mathbf{c}} \cdot\left(\frac{9}{10}\right) \)
D. \( \left(\frac{9}{10}\right)^{5} \)
Subject: Chemistry
Based on the Maxwell-Boltzmann graph
below, which of the following
statements is TRUE?
\( A \cdot T_{1} \) is at a higher temperature than \( T_{2}, \) so more molecules will react to form products
B. The reaction is exothermic, so increasing kinetic energy decreases the rate of the reaction
\( \mathrm{c} \cdot T_{2} \) is at a higher temperature than \( T_{1}, \) so more molecules will react to form products
D. The reaction is endothermic, so increasing kinetic energy increases the rate of the reaction
Subject: Chemistry
Match the following catalyst with their
products
\( -B ;(i i)-A ;(i i i)-D ;(i v)-C \)
\( \mathbf{A} \cdot(i) \)
B \( \cdot(i)-C ;(i i)-D ;(i i i)-B ;(i v)-A \)
\( \mathbf{c} \cdot(i)-D ;(i i)-A ;(i i i)-B ;(i v)-C \)
D. \( (i)-A ;(i i)-B ;(i i i)-C ;(i v)-D \)
Subject: Chemistry
The reduction potential of hydrogen
electrode will be positive if:
\( \mathbf{A} \cdot p\left(H_{2}\right)=1 a t m,\left[H^{+}\right]=1 M \)
B \( \cdot p\left(H_{2}\right)=1 a t m,\left[H^{+}\right]=2 M \)
\( \mathbf{c} \cdot p\left(H_{2}\right)=2 a t m,\left[H^{+}\right]=2 M \)
D \( \cdot p\left(H_{2}\right)=2.5 a t m,\left[H^{+}\right]=1.5 M \)
Subject: Maths
Find the numerical value of \( e \) which
satisfies \( 6 e(e+3)=3 e(2 e+4)+5 \)
A \( \cdot \frac{5}{6} \)
B. \( \frac{3}{4} \)
c. \( \frac{9}{8} \)
D. \( \frac{10}{3} \)
Subject: Physics
Assertion
The mass of a nucleus can be either
less than or more than the sum of the
masses of nucleons present in it.
Reason
The whole mass of the atom is
concentrated in the nucleus.
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 uniform thin rod of length Lis hinged
about one of its end and is free to rotate
about the hinge without friction. Neglect the effect of gravity. A force F is
applied at a distance \( x \) from the hinge on the rod such that force is always
perpendicular to the rod. Find the normal reaction at the hinge as
function of 'x', at the initial instant
when the angular velocity of rod is zero.
Subject: Physics
An electric dipole is situated in an electric field of uniform intensity whose dipole moment is \( p \) and moment of inertia is I. If the dipole is displaced
then the angular frequency of its
oscillation is :
\( ^{\mathrm{A}} \cdot\left(\frac{p E}{I}\right)^{\frac{1}{2}} \)
B. \( \quad\left(\frac{p E}{I}\right)^{\frac{3}{2}} \)
\( \left(\frac{I}{p E}\right)^{\frac{1}{2}} \)
\( ^{\mathrm{D}}\left(\frac{p}{I E}\right)^{\frac{1}{2}} \)
Subject: Physics
Two bodies \( A \) and \( B \) having mass \( M \)
and \( m \) respectively possesses same
kinetic energy. Given that \( \boldsymbol{M}>\boldsymbol{m} \). If \( \boldsymbol{\rho}_{\boldsymbol{A}} \)
and \( \rho_{B} \) be their momentum, then which
of the following statements is true?
\( \mathbf{A} \cdot \rho_{A}=\rho_{B} \)
В \( \cdot \rho_{A}>\rho_{B} \)
c \( \cdot \rho_{A}<\rho_{B} \)
D. It cannot be predicted
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C}=\boldsymbol{C} \boldsymbol{H}_{2} \)
In molecule (allene)
A \( \cdot \) All three \( C \) -atoms are \( s p^{2} \) hybridized
B. Both terminal C-atoms are \( s p^{2} \) hybridized while central C-atom is sp-hybridized
c. Both terminal C-atoms are sp-hybridized whilecentral C-atom is \( s p^{2} \) -hybridized
D. None of these
Subject: Physics
A highly conducting sheet of aluminium foil of negligible thickness is placed between the plates of a parallel plate capacitor. The foil is parallel to the plates at distance \( \frac{d}{2} \) from positive plate where \( d \) is distance between plates. If the capacitance before the insertion of
foil was \( 10 \mu F \), its value after the insertion of foil will be:
\( \mathbf{A} \cdot 20 \mu F \)
в. \( 10 \mu F \)
\( \mathrm{c} .5 \mu F \)
D. zero
Subject: Physics
The convex surface of a thin concavo-
convex lens of the glass of refractive
index 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.
(a) Where should a pin be placed on the optic axis such that its image is formed at the same place?
(b) 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.
Subject: Physics
A body has a relative density of \( x \) with
respect to water at \( 25^{\circ} \mathrm{C} \). What is the
effect on the relative density of the body
with respect to water at \( 50^{\circ} \mathrm{C} ? \)
A. It increases
B. It decreases
c. No effect.
D. Depends on the time of heating
Subject: Maths
Suppose \( S=\{1,2\} \) and \( T=\{a, b\} \)
\( \operatorname{then} \boldsymbol{T} \times \boldsymbol{S} \)
A \( \cdot(a, 1),(a, 2),(b, 1),(b, 2) \)
\( \mathrm{B} \times \mathrm{A}=\{(\mathrm{a}, 1),(\mathrm{a}, 2),(\mathrm{b}, 1),(\mathrm{b}, 2)\} \)
B. \( (1, a),(2, b),(b, 1),(b, 2) \)
D. None of the above
Subject: Physics
A block of mass \( \mathrm{m} \) is kept over another
block of mass \( 2 \mathrm{m} \) and the system rests
on a smooth horizontal surface. The
coefficient of friction between the
blocks is \( 0.50 . \) Find the work done by the
force of friction on the smaller block by the bigger block during a displacement
d the system, when a force mg is applied to the lower block.
\( \mathbf{A} \cdot \frac{m g d}{3} \)
B. mgd
c. \( \frac{m F d}{2(M+m)} \)
D. Zero
Subject: Physics
A body is dropped from a height \( 39.2 m \)
After it crosses the half distance, the
acceleration due to gravity ceases to
act. Then the body will hit the ground
with a velocity of (Take \( \boldsymbol{g}=\mathbf{9 . 8} \mathbf{m s}^{-\mathbf{2}} \mathbf{)} \)
\( \mathbf{A} \cdot 19.6 \mathrm{ms}^{-1} \)
В. \( 20 m s^{-1} \)
c. \( 1.96 \mathrm{ms}^{-1} \)
D. \( 196 \mathrm{ms}^{-1} \)
Subject: Chemistry
The pH values of certain familiar substances are given below
\( \begin{array}{ll}\text { Substance } & \text { pH value } \\ \text { Blood } & 7.4 \\ \text { Baking soda } & 8.2 \\ \text { Vinegar } & 2.5 \\ \text { Household ammonia } & 12\end{array} \)
Analyse the data in the table and answer the following questions
a) Which substances are acidic in
nature?
b) Which substances are basic in
nature?
Subject: Physics
Two particles execute SHM of same amplitude and same time period, about
same mean position but with a phase difference between them. At an instant
they are found to cross each other at
\( x=+\frac{A}{3} . \) The phase difference between
them is:
\( \mathbf{A} \cdot 2 \cos ^{-1}\left[\frac{1}{5}\right] \)
B \( \cdot 2 \sin ^{-1}\left[\frac{1}{5}\right] \)
C \( \cdot 2 \cos ^{-1}\left[\frac{1}{3}\right] \)
D. \( 2 \sin ^{-1}\left[\frac{1}{3}\right] \)
Subject: Maths
\( f\left[\begin{array}{ll}\mathbf{4} & \mathbf{3} \\ \boldsymbol{x} & \mathbf{5}\end{array}\right]=\left[\begin{array}{ll}\boldsymbol{y} & \boldsymbol{z} \\ \mathbf{1} & \mathbf{5}\end{array}\right] \) then find the value
of \( x, y \) and \( z \)
Subject: Biology
Assertion
Large intestine also shows the presence of villi, like small intestine.
Reason
Absorption of water and some salts are
done by the inner wall of the large intestine.
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 ratio of maximum acceleration to
maximum velocity in a simple
harmonic motion \( 10 S^{-1} . A t, t=0 \) the
displacement is \( 5 \mathrm{m} \). What is the maximum acceleration? The initial
phase is \( \frac{\pi}{4} \)
\( \mathbf{A} \cdot 750 \sqrt{2} m / s^{2} \)
B . \( 500 \sqrt{2} \mathrm{m} / \mathrm{s}^{2} \)
c. \( 750 m / s^{2} \)
D. \( 500 m / s^{2} \)
Subject: Physics
A potential barrier V volts exists across a P-N junction. The thickness of the depletion region is 'd'. An electron with velocity 'v' approaches P-Njunction from N-side. The velocity of the electron crossing the junction is:
A \( \cdot \sqrt{v^{2}+\frac{2 V e}{m}} \)
B. \( \sqrt{v^{2}-\frac{2 V e}{m}} \)
\( c \)
D. \( \sqrt{\frac{2 V e}{m}} \)
Subject: Physics
In experiment of convection heat transfer water inside the pipe, completely gets heated (with the application of heat source) can be explained best by which of the following statements,
A. Differences in densities produced between the bottom and the top of water, in turn produce the driving buoyant force which continuously circulates the water,
B. A continuous conductive channel is produced between the different layers of water in the pipe which circulates the heat
c. both the above explains correctly
D. all of the above
Subject: Maths
ff \( 2\left[\begin{array}{ll}3 & 4 \\ 5 & x\end{array}\right]+\left[\begin{array}{ll}1 & y \\ 0 & 1\end{array}\right]=\left[\begin{array}{cc}7 & 0 \\ 10 & 5\end{array}\right] \)
matrices. Find the value of \( x \& y \)
Subject: Physics
Which of the following is/are correct?
This question has multiple correct options
A. The vibration of drilling machine depends on a force from outside
B. The vibration of drilling machine does not depend on a force from outside
C. When a pendulum vibrates it is free vibration because it does not depend on any outside force to vibrate
D. When a pendulum vibrates it is free vibration because it depends on any outside force to vibrate
Subject: Physics
A parallel beam of electrons travelling
in x-direction falls on a slit of width d. If
after passing the slit, an electron
acquires momentum \( p_{y} \) in the \( y \)
direction, then for a majority of electrons passing through the slit (h is Planck's constant).
\( \mathbf{A} \cdot\left|P_{y}\right| d<h \)
B . \( \left|P_{y}\right| d \simeq h \)
\( \mathbf{c} \cdot\left|P_{y}\right| d>>h \)
\( \mathbf{D} \cdot\left|P_{y}\right| d>h \)
Subject: Chemistry
Solubility of \( H g_{2} C l_{2} \) in water is \( S \)
moln4 litre \( ^{-1} \). The \( K_{s p} \) of \( H g_{2} C l_{2} \) is
A \( \cdot 16 S^{4} \)
в. \( 16 S^{3} \)
c. \( 4 S^{3} \)
D. \( 4 S^{2} \)
Subject: Maths
If the radius of a circle is increased by
\( 10 \%, \) then the corresponding area of the new circle will be \( \ldots(\pi=3.14) \)
A. \( 121 \pi r^{2} \)
2
В. \( 12.1 \pi r^{2} \)
c. \( 1.21 \pi^{2} \)
D. None of the given three
Subject: Physics
The end error of a meter bridge can be generated due to which of the following causes/(s)
A. Generation of heat due to the flow of current in the wirce may change the length of the wire
B. Due to the change of the weather, the length of the meter bridge wire may change its length.
c. The meter bridge wire is mounted over the wooden plary some metal screw or some metal
D. The thickness of the wire may be non uniform.
Subject: Maths
If \( \zeta \) is the set of boys in your school and
\( B \) is the set of boys who play badminton Draw a Venn-diagram showing that
some of boys do not play badminton. If
\( \boldsymbol{n}(\boldsymbol{\zeta})=\mathbf{4 0} \) and \( \boldsymbol{n}\left(\boldsymbol{B}^{\prime}\right)=\mathbf{1 7} ; \) find how
many play badminton.
Subject: Maths
If \( f(x)=b e^{a x}+a e^{b x}, \) then \( f^{\prime \prime}(0)= \)
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( 2 a \)
\( \mathbf{c} \cdot a b(a+b) \)
\( \mathbf{D} \cdot a b \)
Subject: Physics
Ball A strikes with velocity u elastically
with identical ball \( B \) at rest, inclined at an angle of with line joining the centers of two balls. What will be the speed of
ball B after the collision:
A . u
B. \( \frac{u \sqrt{3}}{2} \)
c. \( \frac{u}{2} \)
D. \( \frac{u}{\sqrt{2}} \)
Subject: Chemistry
Select correct statement(s):
This question has multiple correct options
A. borax is used as a buffer
B. \( 1 \mathrm{M} \) borax solution reacts with equal volumes of \( 2 \mathrm{M} \) HCI solution
C. Titration of borax can be made using methyl orange as the indicator
D. coloured bead obtained in borax-bead test contains metaborate
Subject: Chemistry
The density of a gas at \( 27^{\circ} C \) and 1 atm is 'd'. Pressure remaining constant, the temperature at which its density
becomes 0.75 d is :
A \( \cdot 20^{\circ} \mathrm{C} \)
B. \( 30^{\circ} \mathrm{C} \)
\( c \cdot 400 k \)
D. 300k
Subject: Physics
\( \mathbf{A} \)
12 ohm resistor and a 0.21 henry
inductor are connected in series to an
AC source operating at \( 20 v \) olts, 50 cycle/second. The phase angle between the current and the source voltage is
A \( .30^{\circ} \)
В . \( 40^{\circ} \)
\( c \cdot 80^{\circ} \)
D. \( 90^{\circ} \)
Subject: Physics
Internal energy of \( n_{1} \) moles of \( H_{2} \) at
temperature \( \boldsymbol{T} \) is equal to the internal
energy of \( n_{2} \) moles of He at temperature
27. Then the ratio \( \frac{\boldsymbol{n}_{1}}{\boldsymbol{n}_{2}} \) is
A . \( 3 / 5 \)
B. 2/3
\( c \cdot 6 / 5 \)
D. 3/7
Subject: Physics
For the system shown in figure, the
pulleys are light and frictionless. The tension in the string will be:
A \( \cdot(2 / 3) m g \sin \theta \)
B. \( (3 / 2) m g \sin \theta \)
\( c .(1 / 2) m g \sin \theta \)
D. \( 2 m g \sin \theta \)
Subject: Maths
If \( 2 \bar{a}-4 \hat{i}-2 \widehat{j}+\widehat{k}=0 \) then find \( \bar{a} \)
\( \mathbf{A} \cdot 2 \bar{j}+\overline{\mathbf{k}} \)
B . \( 2 \hat{i}+\hat{j}-\frac{1}{2} \widehat{k} \)
c. \( 2 \bar{i}+\overline{\mathbf{j}} \)
D. \( 2 \overline{i-j} \)
Subject: Chemistry
The vapour pressure of pure water at
\( 20^{\circ} C \) is \( 20 \mathrm{mm} \) Hg. A solution of
sucrose whose molar mass is 342
g/mole is prepared by dissolving 75 gof it in 1000 g of water. The relative lowering of the vapor pressure of the solution was measured as \( 0.0039 . \) What
is the vapour pressure of the solution when the solute was added?
A. \( 14.660 \mathrm{mm} \)
B. \( 10.005 \mathrm{mm} \)
c. \( 25.220 \mathrm{mm} \)
D. \( 19.922 \mathrm{mm} \)
Subject: Physics
The figure shows a mixture of blue,
green and red colour ray incident on the right angled prism. The critical angles
of the material of prism for red, green
and blue colours are \( 46^{\circ}, 44^{\circ} \) and \( 43^{\circ} \)
respectively. The arrangement will
separate:
A. red colour from green and blue
B. blue colour from green and red
c. green colour from red and blue
D. all the three colours
Subject: Chemistry
In a balanced equation, \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}+ \)
\( \boldsymbol{x} \boldsymbol{H} \boldsymbol{I} \rightarrow \boldsymbol{H}_{2} \boldsymbol{S}+\boldsymbol{y} \boldsymbol{I}_{2}+\boldsymbol{z} \boldsymbol{H}_{2} \boldsymbol{O}, \) the values
of \( x, y \) and \( z \) are respectively:
A. \( x=3, y=5, z=2 \)
в. \( x=4, y=8, z=5 \)
c. \( x=8, y=4, z=4 \)
D. \( x=5, y=3, z=1 \)
Subject: Physics
A charge \( Q \) is uniformly distributed over the surface of two concentric
conducting spheres of radii \( R \) and \( r \)
\( (R>r) \) such that surface charge
densities are same for both spheres.
Then potential at the common center of
these spheres is
A \( \cdot \frac{k Q(R+r)}{R r} \)
B. \( \frac{k Q(R+r)}{\left(R^{2}+r^{2}\right)} \)
c. \( \frac{k Q}{\sqrt{R^{2}+r^{2}}} \)
D \( \quad k Q\left(\frac{1}{R}-\frac{1}{r}\right) \)
Subject: Chemistry
A decinormal solution of \( A g N O_{3} \) was electrolysed between Pt electrodes. After passing a small current for two hours, a fall of concentration of
0.0005124 equivalent occurred in anodic solution. The mass of copper deposited in copper coulometer placed in series was found to be 0.03879 g.
Find the transport number of \( N O_{3}^{-} \) in
\( A g N O_{3} . \) Write answer to the nearest integer after multiplying transport number calculated with 10.
Subject: Physics
A fly wheel rotating at 600 rev/min is
brought under uniform deceleration and
stopped after 2 minutes, then what is
angular deceleration in \( r a d / s e c^{2} ? \)
A \( \cdot \frac{\pi}{6} \)
в. \( 10 \pi \)
\( c \cdot \frac{1}{12} \)
D. 300
Subject: Chemistry
The formula of the final product formed when acetylene reacts with ammonical silver nitrate is :
A. \( A g C \equiv C H \)
B. \( A g C \equiv C A g \)
\( \mathbf{c} \cdot(A g)_{2} C=C H_{2} \)
D. \( C H_{2}=C H_{2} \)
Subject: Chemistry
Which of the following nuclei is unstable?
\( \mathbf{A} \cdot_{5} B^{10} \)
B. \( _{4} B e^{10} \)
\( \mathrm{c} \cdot_{7} N^{14} \)
\( \mathrm{D} \cdot_{8} \mathrm{O}^{1} \)
Subject: Maths
The algebraic expression for \( \tan \left(\sin ^{-1} \cos \tan ^{-1} \frac{x}{2}\right) \) is
A \( \cdot \frac{2}{x} \)
в. \( \frac{x}{2} \)
\( c \cdot \frac{1}{x} \)
D. \( \frac{2}{|x|} \)
Subject: Chemistry
The equilibrium constant for the
ionization of \( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H}_{2}(\boldsymbol{g}) \) in water as
\( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(l) \rightleftharpoons \)
\( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H}_{3}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q}) \)
is \( 8 \times 10^{-6} \) at \( 25^{\circ} \mathrm{C} \). Find the pH of a
solution at equilibrium when pressure
of \( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H}_{2}(\boldsymbol{g}) \) is \( \boldsymbol{0} . \boldsymbol{5} \) bar:
\( \mathbf{A} \cdot \approx 12.3 \)
в. \( \approx 11.3 \)
c. \( \approx 11.45 \)
D. None of the above
Subject: Physics
Light of wavelength \( 6328 A \) is incident normally on a slit having a width of
\( 0.2 m m . \) The angular width of the central maximum measured from
minimum to minimum of diffraction
pattern on a screen 9.0 meters away will
be about
A. 0.36 degree
B. 0.18 degree
c. 0.72 degree
D. 0.09 degree
Subject: Physics
\( A, B \) and \( C \) are three tuning forks. Frequency of \( A \) is 350 Hz. Beats produced by A and B are 5/s and by B and \( C \) are \( 4 / \) s. When a wax is put on \( A \)
beat frequency between \( A \) and \( B \) is \( 2 \mathrm{Hz} \) and between \( A \) and \( C \) is 6 Hz. Then
frequency of \( \mathrm{B} \) and \( \mathrm{C} \) respectively are
\( A \cdot 355 \) НZ, 349 Нz
B. 345 Нz, 341 Нz
c. 355 Нz, 341 Нz
D. 345 Hz, 349 Нz
Subject: Chemistry
Assertion
Pentane and 3-methylpentane are chain isomers.
Reason
Pentane is a straight-chain alkane while 3 -methyl pentane is a branched-
chain alkane
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 and Reason is correct
Subject: Chemistry
The \( R M S \) velocity of an ideal gas at
\( 27^{0} C \) is \( 0.3 m / \)sec. Its \( R M S \) velocity at
\( 927^{\circ} \mathrm{C} \) is :
A. \( 6 \mathrm{m} / \mathrm{sec} \)
в. \( 0.3 \mathrm{m} / \mathrm{sec} \)
c. \( 0.6 m / s e c \)
D. 3 \( m / \)sec
Subject: Maths
Construct a quadrilateral \( A B C D \) with
\( \boldsymbol{A B}=\mathbf{5} \mathrm{cm}, \boldsymbol{B C}=\mathbf{9} \mathrm{cm}, \angle \boldsymbol{A}= \)
\( \mathbf{3 0}^{\circ}, \angle \boldsymbol{B}=\mathbf{9 0}^{\circ}, \angle \boldsymbol{C}=\mathbf{1 5}^{\circ} \)
Subject: Chemistry
In the reaction,
\( \boldsymbol{X}+\boldsymbol{I}_{2}+\mathbf{2} \boldsymbol{H} \boldsymbol{C l} \rightarrow \boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{4}+\mathbf{2 H I} \)
The correct option regarding \( X \) is/are:
A. It is an strong reducing agent
B. It is an angular molecule
C. It is used as a reagent in test of \( H g^{2+} \) radical
D. All of the above
Subject: Maths
The \( n^{t h} \) term of a GP is given by
A \( \cdot t_{n}=a r^{n+1} \)
В . \( t_{n}=a r^{n-1} \)
C \( \cdot t_{n}=a r^{n \div 1} \)
D. \( t_{n}=a r^{2 n-1} \)
Subject: Maths
Find the equation of the line passing
through the point (2,3) and perpendicular to the straight line \( 4 x- \)
\( \mathbf{3} \boldsymbol{y}=\mathbf{1 0} \)
A. \( 3 x+4 y=18 \)
в. \( 3 x-4 y=18 \)
c. \( 3 x+4 y=-18 \)
D. \( 4 x-3 y=-18 \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C O C l}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d} / \boldsymbol{B a S O}_{4}}{\boldsymbol{\}} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H O}+\boldsymbol{H C l} \)
Which of the following option is correct about the given reaction?
A. Aldol condensation
B. Clemmensen reduction
c. Rosenmund reduction
D. carbylamine reaction
Subject: Chemistry
What is the product of electrolysis of 45 grams of water?
A. 40 grams of \( H_{2} \) and 45 grams of \( O_{2} \)
B. 40 grams of \( O_{2} \) and 5 grams of \( H_{2} \)
c. 30 grams of \( H_{2} \) and 15 grams \( O_{2} \)
D. 30 grams of \( O_{2} \) and 15 grams of \( H_{2} \)
Subject: Maths
The differential equation whose solution is \( y^{2}=3 a y-x^{3} \) is
A \( \cdot\left(x^{3}-y^{2}\right) \frac{d y}{d x}=3 x^{2} y \)
B. \( \left(x^{3}-y^{2}\right) \frac{d y}{d x}=3 x y \)
c. \( \left(x^{3}-y\right) \frac{d y}{d x}=3 x y^{2} \)
D. \( \left(y^{2}-x^{3}\right) \frac{d y}{d x}=3 x y \)