AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Q Type your question
performed the above experiment with two different solutions (Y). If in the case
of Nikita, solution(Y) is dilute
hydrochloric acid and in case of
Tarun, solution (Y) is sodium hydroxide
then compounds formed are
and \( _{--}-_{-} \) respectively
A. \( N a_{2} Z n O_{2} \) and \( Z n C l_{2} \)
в. \( Z n C l_{2} \) and \( N a_{2} Z n O_{2} \)
c. \( Z n S O_{4} \) and \( N a_{2} Z n O_{2} \)
D. \( Z n C l_{2} \) and \( Z n O \)
Subject: Biology
The mechanism of urine formation in
nephron involves
A. (i)- Glomerular filtration
(i)- Reabsorption, (ii) Secretion, (iv)- Excretion
B. (i)- Glomerular filtration
(ii)- Secretion, (ii)Reabsorption,
(iv)- Excretion
c. (i)- secretion
(ii)- Reabsorption, (ii)- Glomerular filtration, (iv)- Excretion
D. (i)- Glomerular filtration
(ii)- Reabsorption, (ii) Excretion
(iv)- Secretion
Subject: Physics
In a Young's double slit experiment D equals the distance of screen and dis
the separation between the slit. The distance of the nearest point to the
central maximum where the intensity is
same as that due to a single slit, is equal to:-
A. \( \frac{D \lambda}{d} \)
в. \( \frac{D \lambda}{2 d} \)
c. \( \frac{D \lambda}{3 d} \)
D. \( \frac{2 D \lambda}{d} \)
Subject: Physics
A simple pendulum is vibrating with an
angular amplitude of \( \frac{r}{2} . \) The value of \( \alpha \)
for which the resultant acceleration has
a direction along the horizontal is :
\( \mathbf{A} \)
\( \frac{\pi}{2} \)
B. \( 180^{\circ} \)
c. \( \cos ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
D. \( \cos ^{-1}\left(\frac{1}{\sqrt{2}}\right) \)
Subject: Chemistry
When ammonium vanadate is heated
with oxalic acid solution, a substance \( \mathbf{Z} \)
is formed. A sample of Z was treated
with \( K M n O_{4} \) solution in hot acidic
solution. The resulting liquid was
reduced with \( S O_{2}, \) the excess \( S O_{2} \)
boiled off and the liquid again titrated
with same \( K M n O_{4} . \) The ratio of
volumes of \( K M n O_{4} \) used in the two
titrations was \( 5: 1 . \) What is the
oxidation state of vanadium in
substance Z? Given than \( K M n O_{4} \)
oxidize all oxidation state of vanadium
to vanadium (+5) and \( S O_{2} \) reduces
\( V(+5) \) to \( V(+4) \)
Subject: Physics
In a Wheatstone bridge (see fig.), Resistances \( P \) and \( Q \) are approximately
equal. When \( R=400 \Omega \), the bridge is
equal. When \( R=400 \Omega \),the bridge is
balanced. On inter-changing \( P \) and \( Q \)
the value of \( \boldsymbol{R}, \) for balance, is \( 405 \Omega \)
The value of \( X \) is close to:
A. 403 ohm
B. 404.5 ohm
c. 401.5 ohm
D. 402.5 ohm
Subject: Maths
If the volume of a sphere is \( 4851 c m^{3} \)
then its surface area is
\( \mathbf{A} \cdot 1385 \mathrm{cm}^{2} \)
В . \( 1386 \mathrm{cm}^{2} \)
c. \( 1486 \mathrm{cm}^{2} \)
D. \( 1390 \mathrm{cm}^{2} \)
Subject: Physics
A tank 5 m high is half filled with water and then is filled to the top with oil of
density \( 0.85 g c m^{-3} . \) The pressure at
the bottom of the tank, due to these
liquids is
A \( \cdot 1.85 \) g dyne \( c m^{-2} \)
B. 89.25 g dyne \( \mathrm{cm}^{-2} \)
c. 462.5 g dyne \( c m^{-2} \)
D. 500 g dyne \( c m^{-2} \)
Subject: Physics
The linear magnification for a mirror is the ratio of the size of the image to the size of the object, and is denoted by \( \mathrm{m} \) Then \( m \) is equal to (symbols have their usual meanings).
A. \( \frac{u f}{u-f} \)
B. \( \frac{u f}{u+f} \)
c. \( \frac{f}{u-f} \)
D. None of these
Subject: Physics
The minimum and maximum distances
of a planet revolving around sun are \( r \) and \( R \) If the minimum speed of
planet on its trajectory is \( v_{0}, \) then its
maximum speed will be:
A \( \cdot \frac{v_{0} R}{r} \)
B. \( \frac{v_{0} r}{R} \)
c. \( \frac{v_{0} R^{2}}{r^{2}} \)
D. \( \frac{v_{0} r^{2}}{R^{2}} \)
Subject: Physics
An object \( 2 \mathrm{cm} \) high is placed at a distance of \( 16 \mathrm{cm} \) from a concave
mirror, which produces a real image 3 cm high. What is the focal length of the mirror?
A . \( -48 c m \)
B. \( -36 c m \)
\( \mathrm{c} .-63 \mathrm{cm} \)
D. -83 cm
Subject: Maths
If the system of equations \( 2 x+3 y- \)
\( \mathbf{5}=\mathbf{0}, \mathbf{4} \boldsymbol{x}+\boldsymbol{k} \boldsymbol{y}-\mathbf{1 0}=\mathbf{0} \) has an infinite
number of solutions, then
A \( \cdot k=\frac{3}{2} \)
в. \( _{k \neq \frac{3}{2}} \)
c. \( k \neq 6 \)
D. \( k=6 \)
Subject: Physics
Four blocks of different masses \( \left(\boldsymbol{m}_{1}=\right. \)
\( \mathbf{1} \boldsymbol{k} \boldsymbol{g}, \boldsymbol{m}_{2}=\mathbf{2} \boldsymbol{k} \boldsymbol{g}, \boldsymbol{m}_{3}=\mathbf{1} \boldsymbol{k} \boldsymbol{g} \) and \( \boldsymbol{m}_{4}= \)
\( 5 k g) \) are connected with light,
inextensible strings, as shown in figure. This system is pulled along the frictionless surface by a horizontal force of \( 36 N . \) The force pulling the block of
\( \operatorname{mass} \boldsymbol{m}_{1} \) will be
A \( .2 N \)
в. \( 4 N \)
c. \( 12 N \)
D. \( 36 N \)
Subject: Biology
Choose the most appropriate answer.
(a) Internal fertilization occurs
(i) in female body.
(ii) outside female body.
(iii) in male body
(iv) outside male body.
(b) A tadpole develops into an adult frog
by the process of
(i) fertilization
(ii) metamorphosis (iii) embedding (iv) budding
(c) The number of nuclei present in a
zygote is
(i) none
(ii) one
(iii) two
(iv) four
Subject: Physics
A thin disc of radius \( \mathrm{R} \) and mass \( \mathrm{M} \) has
charge q uniformly distributed on it. It rotates with angular velocity \( \omega . \) The ratio of magnetic moment and angular momentum for the disc is?
A \( \cdot \frac{q}{2 M} \)
в. \( \frac{R}{2 M} \)
c. \( \frac{q^{2}}{2 M} \)
D. \( \frac{2 M}{q} \)
Subject: Chemistry
The solubility of \( C a C O_{3} \) is 7 mg/litre. Calculate the solubility product of
\( B a C O_{3} \) from this information and from
the fact that when \( N a_{2} C O_{3} \) is added
slowly to a sloution containing equimolar concentration of \( C a^{2+} \) and
\( B a^{2+}, \) no precipitate is formed until 90
\( \% \) of \( B a^{2+} \) has been precipitated as
\( B a C O_{3} . \) The solubility product of
\( B a C O_{3} \) is
A. \( 3 \times 10^{-10} \)
B. \( 4 \times 10^{-10} \)
C \( .5 \times 10^{-10} \)
D. \( 6 \times 10^{-10} \)
Subject: Chemistry
The correct IUPAC name for \( \boldsymbol{C H}_{2}= \)
\( \boldsymbol{C H C H}_{2} \boldsymbol{N H C H}_{3} \) is:
A. allylmethylamine
B. 2-amino-4-pentene
c. 4 -aminopent- - ene
D. N-methylprop-2-en-1-amine.
Subject: Chemistry
Mention the following for the complex
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{C l}_{2}\right] \boldsymbol{N} \boldsymbol{O}_{2} \)
¡) IUPAC name
ii) Central metal ion
iii) Ligand
iv) Charge on the Co-ordination sphere
v) Co-ordination number.
Subject: Physics
In LCR series circuit, an alternating
e.m.f. 'e' and current 'i' are given by the equations \( e=100 \sin (100 t) \) volt, \( i= \)
\( \mathbf{1 0 0} \sin \left(\mathbf{1 0 0}+\frac{\boldsymbol{\pi}}{\mathbf{3}}\right) \mathrm{m} \mathrm{A} . \) The average
power dissipated in the circuit will be
\( \mathbf{A} \cdot 100 \mathrm{w} \)
B. 10w
\( c .5 w \)
D. 2.5w
Subject: Chemistry
When \( 0.2 M \) acetic acid is neutralised
with \( 0.1 M \) NaOH in 0.5 litre of water
the resulting solution is slightly alkaline. Calculate the pH of the
resulting solution. \( \boldsymbol{K}_{\boldsymbol{a}} \) for
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H}=\mathbf{1 . 8} \times \mathbf{1 0}^{-\mathbf{5}} \)
Subject: Maths
A point on the parabola \( y^{2}=18 x \) at
which the ordinate increases at twice
the rate of the abscissa is
A \( \cdot(2,4) \)
В \( \cdot(2,-4) \)
\( ^{\mathrm{c}} \cdot\left(-\frac{9}{8}, \frac{9}{2}\right) \)
D. \( \left(\frac{9}{8}, \frac{9}{2}\right) \)
Subject: Physics
A wave travels in a medium according to the equation of displacement given by
\( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})=\mathbf{0 . 0 3} \sin \boldsymbol{\pi}(\boldsymbol{2} \boldsymbol{t}-\boldsymbol{0 . 0 1} \boldsymbol{x}) \)
where y and \( x \) are in meter and t in
second
The wavelength of the wave is
A. 200
B. 100 \( m \)
c. \( 20 \mathrm{m} \)
D. \( 10 \mathrm{m} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\cos (\boldsymbol{\pi} / \boldsymbol{x}), \) then find the
intervals in which the function
decreasing.
A \( . \pi<\theta<2 \pi \)
в. \( \pi / 2<\theta<\pi \)
c. \( \pi / 4<\theta<\pi / 2 \)
D. \( 0<\theta<2 \pi \)
Subject: Chemistry
Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so obtained is diazotized and heated with
cuprous bromide. The reaction mixture
formed contains:
A. Mixture of o- and p- bromoanilines
B. Mixture of o- and m- bromotoluenes
c. Mixture of o- and p- bromotoluenes
D. Mixture of o- and p- dibromobenzenes
Subject: Physics
A body of mass \( m \) was slowly hauled up
the hill by a force \( F \) as shown in the figure, which at each point was directed
along a tangent to the trajectory. Find
the work performed by this force, if the
height of the hill is \( h, \) the length of its
base is \( l \) and the coefficient of friction
is \( \mu . \) (Given acceleration due to gravity
\( =g) \)
A \( . W_{F}=m g h+\mu m g l \)
В. \( W_{F}=m g h-\mu m g l \)
c. \( W_{F}=\mu m g l-m g h \)
2.
Subject: Physics
Six identical uniform rods
\( P Q, Q R, R S, S T, T U \) and \( U P \) each
weighing \( \mathrm{W} \) are freely joined at their
ends to form a hexagon. The rod \( P Q \) is
fixed in a horizontal position and
middle points of \( \boldsymbol{P Q} \) and \( \boldsymbol{S T} \) are
connected by a vertical string. The tension in string is
\( A \cdot W \)
В. \( 3 W \)
\( c .2 W \)
0.44
Subject: Physics
Two particles \( A \) and \( B \) execute simple
harmonic motion of periods \( \boldsymbol{T} \) and \( \mathbf{5} \boldsymbol{T} / \boldsymbol{4} \)
They start from mean position. The phase difference between them when
the particle \( A \) completes an oscillation
will be?
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{\pi}{2} \)
c.
D. \( \frac{2 \pi}{5} \)
Subject: Maths
A rectangle \( P Q R S \) is inscribed in a
quadrant of a circle, with \( P \) at the
centre and \( R \) on the circumference. If
\( P S \) is \( 12 \mathrm{cm} \) and \( Q P \) is \( 5 \mathrm{cm} \) then the
diameter of the circle is
\( \mathbf{A} \cdot 26 \mathrm{cm} \)
B. \( 29 \mathrm{cm} \)
\( \mathbf{c} .28 \mathrm{cm} \)
D. none of these
Subject: Maths
The mean of five observations is 4 and
their variance is \( 5.2 . \) If three of these
observations are 2,4 and \( 6, \) then the other two observations are
A. 3 and 5
B. 2 and 6
c. 4 and 4
D. 8 and 10
E. 1 and 7
Subject: Physics
Write the formula for the refraction of
light on a spherical surface. Establish lens formula \( \frac{1}{\boldsymbol{f}}=(\boldsymbol{n}-1)\left(\frac{\mathbf{1}}{\boldsymbol{R}_{1}}-\frac{\mathbf{1}}{\boldsymbol{R}_{2}}\right) \)
with its help. Symbols used their usual meanings.
Subject: Chemistry
Formula of rust:
\( \mathbf{A} \cdot F e_{2} O_{3} \cdot x H_{2} O \)
B. \( F e_{3} O_{4} \cdot x H_{2} O \)
\( \mathbf{c} \cdot F e_{6} O_{16} \cdot x H_{2} O \)
D. None of the above
Subject: Chemistry
Calculate the mole fraction of glucose in an aqueous solution that contains 45 g of glucose in 45 g of water. Find out the weight of NaOH required to be disolved in 90 g of water in order to get a solution of the same mole fraction.
A \( \cdot \frac{1}{11}, 20 g \)
в. \( \frac{1}{11}, 10 g \)
c. \( \frac{1}{10}, 10 g \)
D. \( \frac{1}{10}, 20 g \)
Subject: Physics
Five long wires \( A, B, C, D \) and \( E \) each
carrying I are arranged to form edges of
a pentagonal prism as shown in figure.
Each wire carries current out of the
plane of paper, the magnetic induction at a point on the axis 0 is (axis 0 is at a
distance \( R \text { from each wire }) \) is then
A . equal to zero
B. less than zero
c. more than zero
D. infinite
Subject: Chemistry
In the complex \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \)
\( \left[\boldsymbol{F e}(\boldsymbol{S C N})_{6}\right]^{3-},\left[\boldsymbol{F e}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right]^{3-} \) and
\( \left[\boldsymbol{F} e C l_{6}\right]^{3-}, \) more stability is shown by :
\( \mathbf{A} \cdot\left[F e\left(H_{2} O\right)_{6}\right]^{3} \)
в. \( \left[F e(S C N)_{6}\right]^{-3} \)
\( \mathbf{c} \cdot\left[F e\left(C_{2} O_{4}\right)_{3}\right]^{3-} \)
D. \( \left[F e C l_{6}\right]^{3-} \)
Subject: Chemistry
Which of the following options are correct regarding the manufacture of
\( H_{2} S O_{4} \) by Contact process? The statements given below are
regarding the contact process for the
manufacture of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
(a) Manufacture of \( S O_{2} \) from sulphur is a reversible process.
(b) High pressure, optimum temperature and specific catalyst is
required to obtain a better yield of \( S O_{3} \)
(c) \( S O_{3} \) is hydrolysed to get \( H_{2} S O_{4} \)
(d) Pyrosulphuric acid is hydrolysed to
\( \operatorname{get} \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
A \( . a \) and \( d \)
B. \( b \) and \( c \)
c. only \( d \)
D. \( b \) and \( d \)
Subject: Chemistry
Which of the following is an example of non-biodegradable detergent?
\( A \)
\[
\mathrm{CH}_{3}-\left(\mathrm{CH}_{2}\right)_{\mathrm{n}}-\sqrt{1}-\mathrm{s} \mathrm{O}_{3} \mathrm{Na}
\]
в.
\[
\left.\mathrm{CH}_{3}-\left(\mathrm{CH}_{2}\right)_{9}-\underset{\mathrm{CH}_{3}}{\mathrm{CH}}-\sqrt{\prime}_{-}\right\rangle-\mathrm{SO}_{3} \mathrm{Na}
\]
\( c \)
D. \( C H_{3}-\left(C H_{2}\right)_{10}-C H_{2}-O S O_{3} N a \)
Subject: Physics
Three identical resistors each of
resistance \( R \) are connected to an ideal
cell of voltage \( V \) as shown. Total power
dissipated in all three resistors is:
\( A \cdot \frac{3 V^{2}}{2 R} \)
\( B \cdot \frac{3 V^{2}}{B} \)
c. \( \frac{V^{2}}{3 R} \)
D. \( \frac{2 V^{2}}{3 R} \)
Subject: Biology
People who have migrated from the planes to an area adjoining Rohtang
Pass about six month back.
A. Have more RBCs and their haemoglobin has a lower binding affinity to \( O_{2} \)
B. Are not physically fit to play games like football
c. suffer from altitude sickness with symptoms like nausea, fatigue, etc
D. Have the usual RBC count but their haemoglobin has very high binding affinity to \( O_{2} \)
Subject: Biology
Which of the following is/are the characteristics of the family whose floral diagram is given?
(i) Aloe, Asparagus and Colchicum belong to this family
(ii) Flower is zygomorphic.
(iii) Floral formula is \( 0+P 3+3 A 3+3 G 3 \)
(Fruits are berry or capsule.
A . (i),(ii) and (iii)
B. (iii) only
c. (i) only
D. (i), (iii) and (iv)
Subject: Physics
Two insulated charged spheres of radii
\( R_{1} \) and \( R_{2} \) having charges \( Q_{1} \) and \( Q_{2} \)
respectively are connected to each other, then there is:
B. an increase in the energy of the system
C. always a decrease in the energy of the system
D. a decrease in energy of the system unless \( q_{1} R_{2}=q_{2} R_{1} \)
Subject: Physics
What is the molar mass of ammonium
carbonate \( \left(N H_{4}\right)_{2} C O_{3} ? \)
A. \( 48.06 g / \) mol
B. \( 96.11 g / \) mol
c. \( 82.09 g / \) mol
D. \( 78.05 g / \) mol
E . \( 192.2 g / \) mol
Subject: Physics
A metallic sphere cools from \( 50^{\circ} \mathrm{C} \) to
\( 40^{\circ} \mathrm{C} \) in 300 seconds. If the room
temperature is \( 20^{\circ} \mathrm{C} \) then its
temperature in the next 5 minutes will
be:
A \( \cdot 30^{\circ} \mathrm{C} \)
B. \( 33.3^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 36^{\circ} C \)
D. \( 38^{\circ} \mathrm{C} \)
Subject: Physics
A short bar magnet has a magnetic
moment of \( 0.65 \mathrm{JT}^{-1} \), then the
magnitude and direction of the magnetic field produced by the magnet at a distance \( 8 \mathrm{cm} \) from the centre of
magnet on the axis is:
A \( \cdot 2.5 \times 10^{-4} T, \) along NS direction
B . 2.5 \times \( 10^{-4} T \), along SN direction
c. \( 4.5 \times 10^{-4} T \), along NS direction
D. 4.5 \times \( 10^{-4} T \), along SN direction
Subject: Physics
Two particles of masses \( m_{1} \) and \( m_{2} \) initially at rest at infinite distance from each other, move under the action of
mutual gravitational pull. Show that at any instant their relative velocity of approach is \( \sqrt{2 G\left(m_{1}+m_{2}\right) / R, \text { where }} \) \( \mathrm{R} \) is their separation at that instant.
Subject: Maths
For what value of \( x \) the matrix \( A \) is
singular? \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1}+\boldsymbol{x} & \mathbf{7} \\ \mathbf{3}-\boldsymbol{x} & \mathbf{8}\end{array}\right] \)
A \( \cdot \frac{12}{15} \)
в. \( \frac{13}{15} \)
c. \( \frac{14}{15} \)
D. none of these
Subject: Maths
If \( \operatorname{in} \) a \( \Delta A B C ; \frac{\cos A}{7}=\frac{\cos B}{19}= \)
\( \frac{\cos C}{25}=k, \) then
\( \left|\begin{array}{ccc}-1 / k & 25 & 19 \\ 25 & -1 / k & 7 \\ 19 & 7 & -1 / k\end{array}\right|= \)
\( A \)
B.
\( c \cdot 2 \)
\( D \)
Subject: Physics
Consider the following statements for air molecules in an air tight container.
(I) The average speed of molecules is larger than root mean square speed.
(II) Mean free path of molecules is larger than the mean distance between molecules.
(III) Mean free path of molecules increases with temperature
(IV) The rms speed of nitrogen molecule is smaller than oxygen molecule. The
true statements are.
A. Only II
B. ॥ \& ॥ I
c. ॥ \& ।
D. I, II \& IV
Subject: Physics
The resistances of a platinum resistance thermometer at the ice
point, the steam point and the boiling point of sulphur are 2.50,3.50 and 6.50 \( \Omega \) respectively. Find the boiling point
\( ^{o} C \) ) of sulphur on the platinum scale. The ice point and the steam point
measure \( 0^{\circ} \mathrm{C} \) and \( 100^{\circ} \mathrm{C} \) respectively
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a}, \boldsymbol{a} \in \boldsymbol{R}, \) then
\( \mathbf{A} \cdot \nabla f(x)=0 \)
B \( \cdot \nabla f(x)=a \)
\( \mathbf{c} \cdot \nabla f(x)=2 a \)
D. \( \nabla f(x)=a^{2} \)
Subject: Chemistry
A sample of \( C a C O_{3}(s) \) is introduced
into a sealed container of volume 0.821
litre \( \& \) heated to \( 1000 \mathrm{K} \) until
equilibrium is reached. The equilibrium constant for the reaction \( C a C O_{3}(s) \rightleftharpoons \)
\( \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \) is \( \boldsymbol{4} \times 10^{-2} \) atm at
this temperature. Calculate the mass of
CaO present at equilibrium.
Subject: Maths
The differential equation for all the straight lines which are at a unit distance from the origin is
\( ^{A} \cdot\left(y-x \frac{d y}{d x}\right)^{2}=1-\left(\frac{d y}{d x}\right)^{2} \)
\( ^{\mathrm{B}}\left(y+x \frac{d y}{d x}\right)^{2}=1+\left(\frac{d y}{d x}\right)^{2} \)
\( ^{\mathrm{c}}\left(y-x \frac{d y}{d x}\right)^{2}=1+\left(\frac{d y}{d x}\right)^{2} \)
\( ^{\mathrm{D} \cdot}\left(y+x \frac{d y}{d x}\right)^{2}=1-\left(\frac{d y}{d x}\right)^{2} \)
Subject: Physics
A ball P moving with a speed of \( \boldsymbol{v} \boldsymbol{m} \boldsymbol{s}^{-1} \)
collides directly with another identical
ball Q moving with a speed \( 10 \mathrm{ms}^{-1} \) in the opposite direction. P comes to rest after the collision. If the coefficient of
restitution is \( 0.6, \) the value of \( v \) is:
A \( \cdot 30 m s^{-1} \)
B. \( 40 \mathrm{ms}^{-1} \)
c. \( 50 m s^{-1} \)
D. \( 60 m s^{-1} \)
Subject: Chemistry
Calculate \( [\boldsymbol{O} \boldsymbol{H}] \) which would be produced by each equilibrium concentration of \( N H_{3} \) in part
(a). Predict whether \( Z n(O H)_{2} \) or \( Z n(O H)_{4}^{2-} \) would form in prefemce to \( Z n\left(N H_{3}\right)_{4}^{2+} \) upon addition of sufficient
\( N H_{3} \) to produce the equilibrium concentration calculated in part (a).
A \( \cdot 3.33 \times 10^{-4} M \)
В. \( 2.5 \times 10^{-4} M \)
c. \( 4.5 \times 10^{-4} M \)
D. \( 9.0 \times 10^{-4} M \)
Subject: Chemistry
In the reaction \( C(s)+C O_{2}(g) \rightleftharpoons \)
\( 2 C O(g), \) the equilibrium pressure is
12 atm. If \( 50 \% \) of \( C O_{2} \) reacts till
equilibrium then \( \boldsymbol{K}_{\boldsymbol{p}} \) will be :
A . 12 atm
B. 6 atm
\( c .20 \) atm
D. 24 atm
Subject: Physics
Assertion
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason
In an elastic, the linear momenta of the system is conserved.
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 correct
Subject: Physics
A graph is plotted with PV/T on y-axis and mass of the gas along x-axis for different gases. The graph is
A. a straight line parallel to x-axis for all the gases
B. a straight line passing through origin with a slope having a constant value for all the gases
c. a straight line passing through origin with a slope having different values for different gases
D. a straight line parallel to y-axis for all the gases
Subject: Physics
There are two identical small holes of
area of cross section a on the opposite
sides of a tank containing a liquid of
density \( \rho . \) The difference in height
between the holes is \( h \). The tank is
resting on a smooth horizontal surface.
The horizontal force which will have to
be applied on the tank to keep it in equilibrium is:
A \( \cdot g h \rho a \)
в. \( \frac{2 g h}{\rho a} \)
c. 2 pagh
D. \( \frac{\rho g}{\text { an }} \)
Subject: Physics
If \( |\bar{A}+\bar{B}|=|\bar{A}|+|\bar{B}| \) then the angle
between \( \bar{A} \) and \( \bar{B} \) is:
\( A \cdot 0^{0} \)
B . \( 90^{\circ} \)
\( c \cdot 180^{\circ} \)
D. \( 60^{\circ} \)
Subject: Maths
A line passing through the origin and making an angle \( \frac{\pi}{4} \) with the line \( y- \) \( \mathbf{3} \boldsymbol{x}=\mathbf{5} \) has the equation
This question has multiple correct options
A. \( x+2 y=0 \)
в. \( 2 x=y \)
c. \( x=2 y \)
\( \mathbf{D} \cdot y+2 x=0 \)
Subject: Maths
Which congruence criterion do you use
in the following?
Given: \( \mathrm{EB}=\mathrm{BD}, \mathrm{AE}=\mathrm{CB}, \angle \mathrm{A}=\angle \mathrm{C}=90^{\circ} \)
So \( \Delta A B E \equiv \Delta C D B \)
Subject: Maths
If \( i^{2}=-1, \) calculate the value of \( 3 i^{2}+ \)
\( \boldsymbol{i}^{3}-\boldsymbol{i}^{4} \)
A \( .-4-i \)
B. \( -2-i \)
\( c \cdot 2+i \)
D. \( 4+i \)
E \( .6+2 i \)
Subject: Maths
Observe the following Lists
List-I
A: \( \int_{-2}^{2} \frac{1}{4+x^{2}} d x \)
List-II
B: \( \int_{1}^{2} \frac{1}{x \sqrt{x^{2}-1}} d x \quad \) 1) \( \frac{\pi}{3} \)
C: \( \int_{0}^{\pi} \cos 3 x \cdot \cos 2 x d x \quad \) 2) 0
4) \( \frac{\pi}{2} \)
A. A-3, B-1, C-4
B. A-3, B-1, C-2
C. A-1, B-3, C-2
D. A-4, B-1, C-2
Subject: Physics
A nail is driven into a wooden board by using a hammer. The impact of the hammer on the head of nail produces a
thrust of \( 25 N . \) If the area of the head is
\( 0.5 m m^{2} \) and of the tip is \( 0.1 m m^{2}, \) find
the pressures on the head and on the tip of the nail.
A \( \cdot 5 \times 10^{7} P a ; 2.5 \times 10^{8} P a \)
B . \( 2.5 \times 10^{7} P a ; 5.5 \times 10^{8} P a \)
c. \( 3.5 \times 10^{7} P a ; 2.5 \times 10^{8} P a \)
D. \( 5 \times 10^{7} P a ; 3.5 \times 10^{8} P a \)
Subject: Physics
In Boyles experiment for a given gas at
different temperatures the graph drawn
between pressure and density are
straight lines as shown then:
A \( \cdot T_{1}>T_{2} \)
в. \( T_{2}>T_{1} \)
\( \mathrm{c} \cdot T_{1}=T_{2} \)
D. \( T_{1}^{3}=T_{2} \)
Subject: Physics
In above shown figure, two speaker, \( \boldsymbol{S}_{1} \)
and \( S_{2} \) are kept at \( 3 \mathrm{m} \) apart. Speakers emit a sound wave of wavelength of \( \mathrm{m} \) Emitted waves are in phase with each other. Compare the amplitude of
resulting wave at point \( P \) and \( Q \) if \( A_{P} \)
and \( A_{Q} \) resulted amplitude at point \( P \) and \( Q \) respectively.
A. \( A_{P}<A_{Q} \)
в. \( A_{P}=A_{Q} \)
c. \( A_{P}>A_{Q} \)
D. \( A_{P}<0, A_{Q}>0 \)
E. \( A_{P} \) and \( A_{Q} \) vary with times, so no comparison can be made