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\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
For the reaction initially the mole was 1
3 of \( N_{2} \) and \( H_{2} . \) At equilibrium \( 50 \% \) of each has reacted. If the equilibrium pressure is \( p, \) the partial pressure of
\( N H_{3} \) at equilibrium is :
A \( \cdot \frac{p}{3} \)
в. \( \frac{p}{4} \)
c. \( \frac{p}{6} \)
D. \( \frac{p}{8} \) | 1 | Chemistry |
The correct statement(s) about the
compound is/are:
This question has multiple correct options
A. The total number of meso compounds possible for \( x \) are 2
B. R,R-cis stereo isomer of \( X \) is enantiomer of \( S \), S-cis stereo isomer of the same compound.
c. If the stereo chemistry about the double bond in \( x \) is trans, the number of enantiomers possible for \( x \) is 4
D. If the stereo chemistry about the double bond in \( x \) is cis, the number of enantiomers possible for \( x \) is 2 | 1 | Chemistry |
A decimolar solution of potassium ferrocyanide is \( 50 \% \) dissociated at 300
K. Calculate the osmotic pressure of the
solution. | 1 | Chemistry |
What are magnetic field lines with the properties give direction of magnetic field for a point and an electric dipole | 3 | Physics |
Find out relation between \( \boldsymbol{I}_{1} \) and \( \boldsymbol{I}_{2} \)
Where \( I_{1} \) and \( I_{2} \) moment of inertia of a
rigid body mass \( m \) about an axis as
shown in the figure. | 3 | Physics |
The idealized P-V diagram above shows
a complete cycle through compression
and expansion of a gas. The questions below relate to the processes within the
cycle.
Which letter shows isothermal
compression?
\( A \)
B. B
\( c \cdot c \)
\( D . \) D
\( E \) | 3 | Physics |
Find the slope of the line joining the
points \( (2 a, 3 b) \) and \( (a,-b) \) | 2 | Maths |
The conductivity of a saturated solution of \( B a S O_{4} \) is \( 3.06 \times 10^{-6} \) ohm \( ^{-1} c m^{-1} \)
and its molar conductance is \( 1.53 o h m^{-1} c m^{-1} m o l^{-1} \) the \( K_{s p} \) of
\( B a S O_{4} \) will be ?
A \( \cdot 4 \times 10^{-12} \)
В. \( 2.5 \times 10^{-9} \)
c. \( 2.5 \times 10^{-13} \)
D. \( 4 \times 10^{-6} \) | 1 | Chemistry |
Assertion
Equivalent mass of \( K M n O_{4} \) is equal to
one-fifth of its molecular mass when it
acts as an oxidisng agent in acidic medium.
Reason
Oxidation number of \( M n \) in \( K M n O_{4} \) is
+7
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 | 1 | Chemistry |
An open knife edge of mass \( M \) is
dropped from a height \( h \) on a wooden
floor. If the blade penetrates distance in to the wood, the average resistance offered by the wood to the blade is
A. \( M g \)
в. \( M g\left(1+\frac{h}{s}\right) \)
c. \( \operatorname{Mg}\left(\frac{1-h}{s}\right) \)
D. \( M g\left(\frac{1+h}{s}\right)^{ } \) | 3 | Physics |
The image formed by a plane mirror is :
A. at the same distance behind the mirror as the object is in front of it
B. Iaterally inverted
c. of the same size as that of the object
D. all of the above | 3 | Physics |
Match the items in column I and
column II and choose the correct option.
II Column Lid
Biomagnificatror
Eutrophication \begin{tabular}{lll|l|l}
& \multicolumn{2}{l} { Column I } & \multicolumn{2}{l} { Colu } \\
& & & \\
A. & UV & (i) & Bion \\
B. & Biodegradable & (ii) & Eutro \\
C. & DDT & (iii) & Snow \\
D. & Phosphates & (iv) & BOD \\
\hline
\end{tabular} Snow blindness
\( A \)
A-(ii),B-(i), C-(iv), D-(iii)
в. \( A-(\| I), B-(i i), C-(i v), D-(i) \)
\( c \)
A-(iii), B-(iv), C-(i), D-(ii)
B-(i), C-(iv),
D. A-(iii) D-(ii) | 0 | Biology |
a) How are work, force and distance
related.
b) Find the work done by a pulley when
it lifts a block which is 5 m off the
ground with a \( 10 \mathrm{N} \) force. | 3 | Physics |
During one Krebs cycle, number of \( C O_{2} \) molecules released are
\( A \)
B. 2
\( c \cdot 3 \)
D. 4 | 0 | Biology |
A dextrorotatory compound:
A. must have a dextrorotatory enantiomer
B. may have a dextrorotatory enantiomer
C. must have a laevorotatory enantiomer
D. may have a laevorotatory enantiomer | 1 | 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 \( F_{2} \) | 1 | Chemistry |
Find the greatest and the least values of the following functions. \( f(x)=\sin x+\cos 2 x \) on the interval
\( [\mathbf{0}, \boldsymbol{\pi}] \) | 2 | Maths |
\( \mathrm{ff}=\left[\begin{array}{ccc}\boldsymbol{a} & \mathbf{0} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \boldsymbol{a} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \mathbf{0} & \boldsymbol{a}\end{array}\right], \) then the value
of |A| |Adj. A|
A \( \cdot a^{3} \)
в. \( a^{6} \)
\( c \cdot a^{9} \)
\( \mathbf{D} \cdot a^{2} \) | 2 | Maths |
Two concentric shells have radii R and
2R charges \( \boldsymbol{q}_{A} \) and \( \boldsymbol{q}_{B} \) and potentials \( 2 \mathbf{V} \) and (3/2) V respectively. Now shell B is earthed and let charges on
them become \( \boldsymbol{q}_{A}^{\prime} \) and \( \boldsymbol{q}_{B} \) '. Then :
This question has multiple correct options
A \( \cdot q A / q B=1 / 2 \)
B \( \cdot q A^{\prime} / q B^{\prime}=1 \)
c. potential of A after earthing becomes (3/2)
D. potential difference between A and B after earthing becomes V/2 | 3 | Physics |
Transform \( 2 x-3 y+5=0 \) to the
parallel axes through the point (2,-3) | 2 | Maths |
The bob of a pendulum of mass \( \mathrm{m} \) and length I and a charge of q is in the rest position in a uniform horizontal electric field of E. The tension in the string of the
pendulum is :
A . \( m g \)
в. \( q E \)
c. \( \left[(m g)^{2}+(q E)^{2}\right]^{1 / 2} \)
D \( \cdot\left[(m g)^{2}+(q E)^{2}\right]^{1 / 4} \) | 3 | Physics |
Nucleic acids are found in which of the
following?
A. Nucleus
B. Cytoplasm
c. Both nucleus and cytoplasm
D. Nucleus and ribosomes | 0 | Biology |
(i) Give two examples of macromolecules that are chosen as
drug targets.
(ii) What are antiseptic? Give an example.
(iii) Why is use of aspartame limited to cold foods and soft drinks? | 1 | Chemistry |
The atomic mass of an element is 133
and number of neutrons is \( 41.8 \% \) more
than number of protons. Find the number of unpaired electrons. | 1 | Chemistry |
Working of electric bells is an example
of
A. Mechanical effect of electric current
B. Heating effect of electric current
c. Magnetic effect of electric current
D. None of these | 3 | Physics |
Two current-carrying parallel conductors are shown in the figure. The
magnitude and nature of force acting between them per unit length will be :
A \( \cdot 8 \times 10^{-8} N / m, \) attractive
B. \( 3.2 \times 10^{-5} N / m \), repulsive
c. \( 3.2 \times 10^{-5} N / m \), attractive
D. \( 8 \times 10^{-8} N / m \), repulsive | 3 | Physics |
Find the correct order of life process in
plants.
A. Pollination \( \rightarrow \) Fertilisation \( \rightarrow \) Plant \( \rightarrow \) Embryo
B. Plant \( \rightarrow \) Embryo \( \rightarrow \) Fertilisation \( \rightarrow \) Pollination
c. Pollination \( \rightarrow \) Fertilisation \( \rightarrow \) Embryo \( \rightarrow \) Plant
D. Embryo \( \rightarrow \) Pollination \( \rightarrow \) Fertilisation \( \rightarrow \) Plant | 0 | Biology |
Make \( r \) the subject of formula.
A \( \cdot_{r}=\sqrt{\frac{\pi R^{2} l+V}{\pi l}} \)
в. \( r=\sqrt{\frac{\pi R^{2} l-V}{\pi l}} \)
c. \( _{r}=\sqrt{\frac{\pi R^{2} l+V}{2 \pi l}} \)
D. none of the above | 2 | Maths |
Ampere-second stands for the unit of
A. Power
B. Charge
c. e.m.f.
D. Energy | 3 | Physics |
Social forestry is
A. Planting of different kinds of trees in the same area
B. Greening of hills with the efforts of common men
C. Raising trees on common village lands and other vacant areas of fodder, minor timber and fire wood
D. None of the above | 0 | Biology |
\( \gamma \) -globulins are synthesized inside
A. Liver
B. Kidney
\( c . \) Bone
D. Thyroid | 0 | Biology |
\( \ln L i^{++}, \) electron in first Bohr orbit is
excited to a level by a radiation of wavelength \( \lambda \). when the ion gets
deexcited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are observed. What is the value of \( \lambda \) ?
(Given \( : \boldsymbol{h}=\mathbf{6 . 6 3} \times \mathbf{1 0}^{\mathbf{3 4} \mathbf{J}} \mathbf{s} ; \quad \mathbf{l}, \mathbf{c}=\mathbf{3} \)
ltimes \( 10^{\wedge} 8 \mathrm{ms}^{\wedge}\{-13 \$ \$) \)
\( \mathbf{A} \cdot 9.4 n m \)
в. \( 12.3 n m \)
\( c .10 .8 n m \)
D. \( 11.4 n m \) | 3 | Physics |
Find the values of \( k \) so that the function
\( f \) is continuous at the indicated point:
\[
\boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}
\boldsymbol{k} \boldsymbol{x}^{2}, & \text { if } \boldsymbol{x} \leq \boldsymbol{\pi} \\
\cos \boldsymbol{x}, & \text { if } \boldsymbol{x}>\pi
\end{array}\right.
\]
at \( \boldsymbol{x}=\boldsymbol{\pi} \) | 2 | Maths |
Which of the following helps in differentiation of cells of immune
system?
A. cortisol
B. Thyroxine
c. Thymosin
D. steroid | 0 | Biology |
The resistance of the meter bridge \( A B \)
is given figure is 4 \Omega. With a cell of emf
\( \varepsilon=0.5 V \) and rheostat resistance
\( R h=2 \Omega \) the null point is obtained at
some point \( J . \) When the cell is replaced
by another one of emf \( \varepsilon=\varepsilon_{2} \) the same
null point \( J \) is found for \( R_{h}=6 \Omega \). The
emf \( \varepsilon \) is
A \( .0 .6 ~ V \)
B. \( 0.5 V \)
c. \( 0.3 V \)
D. \( 0.4 V \) | 3 | Physics |
When \( I^{-} \) is oxidized by \( M n O_{4}^{-} \) in
alkaline medium, \( I^{-} \) is converted into
\( A \cdot I O_{3}^{-} \)
в. \( I_{2} \)
\( \mathbf{c} \cdot I O_{4}^{-3} \)
D. IO | 1 | Chemistry |
Why are non-metals not ductile?
A. They are hard
B. They are soft
C. They are brittle
D. All of above | 1 | Chemistry |
The voltage induced across a certain
coil is \( 200 m V . A 120 \Omega \) resistor is
connected to the coil terminals. The
induced current is
A \( .1 .7 m A \)
в. \( 16 m A \)
c. \( 12 m A \)
D. \( 120 m A \) | 3 | Physics |
Which of the following are correct about
Langmuir adsorption isotherm at a very
high pressure?
This question has multiple correct options
A. It is valid for chemisorption.
B. \( \frac{x}{m}=\frac{a}{b} \)
\( ^{\mathbf{C}} \cdot \ln \frac{x}{m}=\frac{\Delta S^{\circ}}{R}-\frac{\Delta H^{\circ}}{R T} \)
D. At very high pressure, rate of adsorption \( > \) rate of desorption. | 1 | Chemistry |
Factorize \( 16 x^{6}-8 x^{3} y^{3}+y^{6} ? \)
A \( \cdot\left(4 x^{3}-y^{3}\right)^{2} \)
B. \( \left(4 x^{3}+y^{3}\right)^{2} \)
\( \mathbf{c} \cdot(4 x+y)^{6} \)
D. \( \left(16 x^{2}+y\right)^{2} \) | 2 | Maths |
A negligibly small current is passed through a wire of length \( 15 \mathrm{m} \) and uniform cross-section \( 6.0 \times 10^{-7} m^{2} \)
and its resistance is measured to be
5.0\Omega. What is the resistivity of the material at the temperature of the experiment? | 3 | Physics |
Complete the following reactions
\( (i) C r_{2} O_{7}^{2-}+3 S O_{2}+2 H^{+} \rightarrow \)
\( 2 C r^{3+}+_{---}-+H_{2} O \)
\( (i i) 2 M n O_{4}^{-}+5 S O_{3}^{2-}+6 H^{+} \rightarrow \)
\( 2 M N^{2+}+_{---}-3 H_{2} O \)
\( (i i i) C r_{2} O_{7}^{2-}+6 F e^{2+}+14 H^{+} \rightarrow \)
\( 2 C r^{3+}_{---}-7 H_{2} O \)
A \( \cdot 3 S O_{4}^{2-}, S O_{2}^{2-}, F e^{3+} \)
B \( \cdot 3 S O_{4}^{2-}, 5 S O_{4}^{2-}, 6 F e^{3+} \)
\( \mathrm{c} \cdot 3 \mathrm{SO}_{4}^{2-}, \mathrm{SO}_{2}, \mathrm{K}^{+} \)
D. \( S, S O_{2}, F e^{3+} \) | 1 | Chemistry |
f \( \sum_{r=1}^{n} t_{r}=\frac{1}{12} n(n+1)(n+2), \) then the
value of \( \sum_{r=1}^{n} \frac{1}{t_{r}} \) is
A \( \cdot \frac{2 n}{n+1} \)
в. \( \frac{n}{(n+1)} \)
c. \( \frac{4 n}{n+1} \)
D. \( \frac{3 n}{n+1} \) | 2 | Maths |
Find \( \boldsymbol{A}^{\boldsymbol{T}}: \)
\( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{4} & \mathbf{3} & \mathbf{- 1} \\ \mathbf{6} & \mathbf{8} & \mathbf{- 3} \\ \mathbf{4} & \mathbf{1} & \mathbf{3}\end{array}\right] \) | 2 | Maths |
Consider a film of thickness \( L \) as shown
in four different cases below. Notice the
observation of film with perpendicularly falling light. Mark the correct statement(s). (Take \( L=1.5 \lambda) \)
This question has multiple correct options
A. For (1) and (2), the reflection at film interfaces causes zero phase difference for two reflected rays
B. For 92 ) and (3), the reflection at film interfaces causes phase difference of \( \pi \) for two reflected rays
C. For (1) , the film will appear dark, if it is observed through reflected rays from film interfaces
D. For
(3), the film will appear dark, if it is observed through reflected rays from film interfaces | 3 | Physics |
Point where whole weight of body acts vertically is called
A. center of mass
B. mid point
c. center of gravity
D. none of above | 3 | Physics |
The \( \left[\boldsymbol{H}_{3} \boldsymbol{O}^{+}\right] \) in a solution having \( \left[\boldsymbol{O H}^{-}\right]=\mathbf{5} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{M} \) is:
A \( \cdot 2 \times 10^{-3} \)
B. \( 2 \times 10^{-12} \)
c. \( 5 \times 10^{-3} \)
D. none of these | 1 | Chemistry |
Transpiration is best defined as
A. loss of water from the plant
B. loss of water as vapour from the plant
C . evaporation of water from the surface of leaves
D. None of the above | 0 | Biology |
Suppose in the previous problem, the
child stays at rest on the platform and one of his friend throws a ball of mass
\( m_{1} \) towards him with a velocity of \( v \)
from a direction tangential to the platform and the child on the platform catches the ball. Find the angular
velocity of the platform after he catches the ball. | 3 | Physics |
Which is true for the far sightedness or hypermetorpia from the following?
A. Eyelense does not become thin as per requirement
B. Distant object cannot be seen clearly
c. Nearby object cannot be seen clearly
D. Defect can be corrected by using concave lens | 3 | Physics |
Two complex numbers are represented by ordered pairs \( z_{1}:(6,4) \& z_{2}:(4,-5) \)
which of the following is imaginary
part of \( z_{1}+z_{2} ? \)
A . -1
B. -6
c. 10
D. None of these | 2 | Maths |
Simplify \( 3 \times(-1) \)
\( A \cdot 3 \)
B. -
c. 1
D. 2 | 2 | Maths |
The reciprocal of a negative rational
number is
A. negative
B. positive
c. cannot be determined
D. none | 2 | Maths |
Fill in the blanks:
Force comes into action when
A. objects interact.
B. objects do not interact
c. object move
D. None of these | 3 | Physics |
If \( \boldsymbol{y}=(\mathbf{1}+\boldsymbol{x})\left(\mathbf{1}+\boldsymbol{x}^{\mathbf{2}}\right)\left(\mathbf{1}+\boldsymbol{x}^{\mathbf{4}}\right) \dots \mathbf{.} \)
\( \left.x^{2^{n}}\right), \) then \( \left(\frac{d y}{d x}\right)_{x=0}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{1}{2} \)
\( c \cdot 1 \)
\( D \) | 2 | Maths |
Which of the following will have the most negative electron gain enthalphy and which the least negative?
\( A \cdot F, C \)
в. С।,
c. \( \mathrm{Cl} \),
D. CL, | 1 | Chemistry |
The birth control pills are which kind of drug?
A. analgesics
B. tranquilizers
c. sulphapyridine
D. antifertility | 1 | Chemistry |
Find the coordinates of the focus,
equation of the directrix and the latus rectum of
\( \boldsymbol{x}^{2}=-2 \boldsymbol{y} \) | 2 | Maths |
Time required to deposit one millimole of aluminium metal by the passage of
9.65 amperes through aqueous solution of aluminium ion is :
A . \( 30 s \)
в. \( 10 s \)
c. \( 30,000 s \)
D. \( 10,000 s \) | 1 | Chemistry |
If the \( n^{t h} \) term of an A.P. is \( a_{n}=3+2 n \)
then the common difference \( d \) is
A .2
B. 3
\( c \cdot 4 \)
D. 5 | 2 | Maths |
A current passes through a wire of non-
uniform crosssection. Which of the
following quantities are independent of the cross-section?
This question has multiple correct options
A. The charge crossing in a given time interval
B. Drift speed
c. Current density
D. Free-electron density | 3 | Physics |
\( Z n+H_{2} S O_{4}(d i l) \rightarrow Z n S O_{4}+H_{2} \uparrow \)
Above reaction is:
A. decomposition reaction
B. displacement reaction
c. combination reaction
D. synthesis reaction | 1 | Chemistry |
Which of the following is the source of
\( \boldsymbol{S} \boldsymbol{O}_{\boldsymbol{x}} \) pollution?
A) Volcanoes
B) Fossil fuel
C) Thermal power plant
\( A \cdot A \& B \)
B. B \& \( c \)
\( c \cdot c \& A \)
D. \( A, B \& C \) | 1 | Chemistry |
Identify which of the following wave has the longest frequency?
A. Red light
B. Blue light
c. Gamma rays
D. x rays
E. Radio waves | 3 | Physics |
In the given figure, a circle with centre \( O \) is given in which a diameter \( A B \)
bisects the chord \( C D \) at a point \( E \) such
that \( C E=E D=8 c m \) and \( E B=4 c m \)
Find the radius of the circle. | 2 | Maths |
Consider 3 identical charges of charge
q placed at the vertices of an equilatera triangle, as shown in the figure. What is the force on one of the charges due to
the others?
\( ^{\mathbf{A}} \cdot \frac{1}{4 \pi \epsilon_{0}} \frac{q^{2}}{l^{2}} \)
B. \( \frac{\sqrt{2}}{4 \pi \epsilon_{0}} \frac{q^{2}}{l^{2}} \)
C. \( \frac{\sqrt{3}}{4 \pi \epsilon_{0}} \frac{q^{2}}{l^{2}} \)
D \( \cdot \frac{2 \sqrt{3}}{4 \pi \epsilon_{0}} \frac{q^{2}}{l^{2}} \) | 3 | Physics |
The equation of the progressive wave is \( \boldsymbol{y}=\boldsymbol{a} \sin 2 \pi\left(\boldsymbol{n} \boldsymbol{t}-\frac{\boldsymbol{x}}{\mathbf{5}}\right) . \) The ratio of
maximum particle velocity to wave velocity is
A \( \cdot \frac{\pi a}{5} \)
в. \( \frac{2 \pi a}{5} \)
c. \( \frac{3 \pi a}{5} \)
D. \( \frac{4 \pi a}{5} \) | 3 | Physics |
Fuming nitric acid is:
A . conc. \( H N O_{3}+N O_{2} \)
B. conc. \( H N O_{3}+N O_{3} \)
c. conc. \( H N O_{3}+N 2 O_{3} \)
D. conc. \( H N O_{3}+N O \) | 1 | Chemistry |
What will be the wave velocity, if the radar gives 54 waves per min and
wavelength of the given wave is \( 10 \mathrm{m} ? \)
\( A \cdot 4 \mathrm{m} \mathrm{s}^{-1} \)
B. \( 6 \mathrm{m} \mathrm{s}^{-1} \)
\( c \cdot 9 m s^{-1} \)
\( D \cdot 5 \mathrm{m} \mathrm{s}^{-1} \) | 3 | Physics |
Calculate the number of grams of
magnesium chloride that could be obtained from 17.0 g of \( H C l \) when \( H C I \)
is reacted with an excess of
magnesium oxide. | 1 | Chemistry |
If \( y=x \sin y, \) then prove that \( \frac{d y}{d x}= \) \( \frac{\boldsymbol{y}}{\boldsymbol{x}(1-\boldsymbol{x} \cos \boldsymbol{y})} \) | 2 | Maths |
In set of 4 number the first three
number are in \( G P \) and the last three are
in \( A P \) with common different is 6
If first number is same as the fourth
number. Find the numbers | 2 | Maths |
Consider the following two statements \( A \) and \( B \) and identify the correct answer.
A) When the length of a wire is doubled, the Young's modulus of the wire is also doubled
B) For elastic bodies Poisson's ratio is \( + \)
Ve and for inelastic bodies Poissons
ratio is -Ve
A. Both A \& B are true
B. A is true but B is false
c. \( A \) is true but \( B \) is true
D. Both A \& B are false | 3 | Physics |
If \( A \) is a symmetric matrix then \( A^{T}= \)
A. \( A \)
в. \( |A| \)
c. 0
D. diagonal matrix | 2 | Maths |
Estimate the maximum possible
temperature of a Bunsen burnur flame. | 1 | Chemistry |
How many types of prism are possible
\( A \)
B. 2
\( c \cdot 3 \)
D. \( \infty \) | 3 | Physics |
The vapour pressure of pure liquid is 70
Torr at \( 27^{\circ} \mathrm{C} \). The vapour pressure of a
solution of this liquid and another liquid (mole fraction 0.2) is 84 Torr at
\( 27^{\circ} \mathrm{C} . \) The vapour pressure of pure
liquid \( B \) at \( 27^{\circ} C \) is?
A. 140 Torr
B. 280 Torr
c. 160 Torr
D. 200 Torr | 1 | Chemistry |
Nickel shows ferromagnetic property at room temperature. If the temperature is increased beyond Curie temperature,
then it will show:
A. paramagnetism
B. anti-ferromagnetism
c. no magnetic property
D. diamagnetism | 3 | Physics |
dentify the major product in the
following reaction. | 1 | Chemistry |
A man is walking from east to west on a level rough surface. The force of friction
on the man is directed:
A. from west to east
B. from east to west
c. along the north
D. along the west | 3 | Physics |
In the modern periodic table, magnesium is surrounded by elements with atomic number 4,11,13 and 20 Identify the elements. Which of these have chemical properties resembling magnesium? | 1 | Chemistry |
The atomic radius of \( A g \) is closed to :
A. \( C u \)
в. \( H g \)
c. \( N i \)
D. \( A u \) | 1 | Chemistry |
Animals return water to the
environment by
(i) Perspiring
(ii) Drinking
(iii) Urinating
(iv) Breathing
A. (i), (iii) and (iv)
B. (i) and (ii)
c. (i) and (iii)
D. (iii) and (iv) | 0 | Biology |
Solve: \( 4 \cos ^{2} x+6 \sin ^{2} x=5 \)
A \( \cdot x=n \pi+\frac{\pi}{2} \)
B. \( x=n \pi-\frac{\pi}{3} \)
c. \( x=n \pi \pm \frac{\pi}{4} \)
D. None of these | 2 | Maths |
The correct decreasing order of following alkyl halides according to the rate of \( \beta \) - elimination reaction with
alcoholic KOH will be:
\( (\mathrm{i}) C H_{3}-\underset{C H_{3}}{C}^{H}-C H_{2} B r \)
(ii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{B r} \)
(iii) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{B r} \)
\( A \cdot(\text { i) }>(\text { ii) }>(\text { iii }) \)
B. (iii) > (ii) > (i)
c. (ii)> (iii) > (i)
D. (i) > (iii) > (ii) | 1 | Chemistry |
Find the equation of the circle passing through the points (0,-1) and (2,0) and whose centre lies on the line \( 3 x+ \)
\( \boldsymbol{y}=\mathbf{5} \) | 2 | Maths |
\( \ln \operatorname{areaction} 2 H I \rightarrow H_{2}+I_{2}, \) the
concentration of \( H I \) decreases from
0.5 mol \( L^{-1} \) to 0.4 mol \( L^{-1} \) in 10
minutes.What is the rate of reaction
during this interval?
A \( .5 \times 10^{-3} \mathrm{M} \min ^{-1} \)
B . \( 2.5 \times 10^{-3} \mathrm{M} \) min\( ^{-1} \)
c. \( 5 \times 10^{-2} M \) min \( ^{-1} \)
D. 2.5 \( \times 10^{-2} \mathrm{M} \) min\( ^{-1} \) | 1 | Chemistry |
\( \mathrm{K}_{m} \) is related to
A. Morphology
B. ABO blood group
c. ES complex
D. chromatography | 0 | Biology |
Q Type your question
the surface of Mars it is \( 4.0 m s^{-2} . A 60 \)
kg passenger goes from the Earth to the
Mars in a spaceship moving with a constant velocity. Neglect all other
objects in the sky. Which part of figure
best represents the weight (net gravitational force) of the passenger as
a function of time.??
\( A \)
B. B
\( c \cdot c \)
\( D \) | 3 | Physics |
Find the mean number of heads in three
tosses of a fair coin. | 2 | Maths |
In producing chlorine through electrolysis 100 watt power at 125 V is being consumed. How much chlorine
per minute is liberated?
Electrochemical Equivalent of chlorine is \( 0.367 \times 10^{-6} \) kg/coulomb:
A. \( 21.3 \mathrm{mg} \)
в. \( 17.6 \mathrm{mg} \)
c. \( 24.3 \mathrm{mg} \)
D. \( 13.6 \mathrm{mg} \) | 1 | Chemistry |
If relative decrease in \( \mathrm{V} . \mathrm{P} \) is 0.4 for \( \mathrm{a} \)
solution containing 1 mol \( N a C l \) in 3
mol of \( \mathrm{H}_{2} \mathrm{O} \). Calculate \( \% \) ionization of
NaCl.
A . 100
B. 95
c. 90
D. 85 | 1 | Chemistry |
Hyperventilation is
A. Extra deep breathing
B. Rapid breathing
C . Rapid shallow breathing
D. Rapid deep breathing | 0 | Biology |
f \( y=\cos 2 x \cos 3 x, \) then \( y_{n} \) is equal to
Where, \( y_{n} \) denotes the \( n^{t h} \) derivative of
\( \boldsymbol{y} \)
A \( \cdot 6^{n} \cos \left(2 x+\frac{n \pi}{2}\right) \cos \left(3 x+\frac{n \pi}{2}\right) \)
B. \( \frac{1}{2}\left[5^{\text {n }} \cos \left(\frac{\text { n } \pi}{2}+5 x\right)+\cos \left(\frac{\text { n } \pi}{2}+x\right)\right] \)
c. \( \frac{1}{2}\left[5^{\mathrm{n}} \sin \left(5 x+\frac{\mathrm{n} \pi}{2}\right)+\sin \left(x+\frac{\pi}{2}\right)\right] \)
D. | 2 | Maths |
The addition compounds which lose their identity in solution are called:
A. normal salts
B. double salts
c. complex compounds
D. co-ordination compounds | 1 | Chemistry |
An object drop from a with a constant
acceleration of \( 10 m / s^{2} . \) Find its speed
2 sec after it was dropped. | 3 | Physics |
Find the variance of numbers obtained
on thrown an unbiased die. | 2 | Maths |
Solve
\( \boldsymbol{x}+\boldsymbol{y}=\mathbf{3} \)
\( \boldsymbol{x}-\boldsymbol{y}=\mathbf{1} \) | 2 | Maths |
A vector \( \vec{A} \) has magnitude of 3 units and it points towards east while another vector \( \vec{B} \) has magnitude of 4 units and it points towards north.The ratio between \( \vec{A} \cdot \vec{B} \) and \( |\vec{A} \times \vec{B}| \) is:
A . 1:
B. 1:
c. 0: 12
D. 12:0 | 3 | Physics |
A boy wants to buy new shoes. To find
out his correct shoe size the
of his feet should
be measured
A. Length
B. Thickness
c. Area
D. volume | 3 | Physics |
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