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An organic compound of molecular
formula \( C_{4} H_{10} O \) does not react with
sodium. In excess of \( \boldsymbol{H} \boldsymbol{I} \), it gives only
one type of alkyl iodide. The compound
is:
A. ethoxy ethane
B. 2-methoxy propan
c. 1-methoxy propane
D. 1-butanol
| 1 |
Chemistry
|
Which of the following is true regarding
sign of heat and work?
A. Heat absorbed by the system has positive sign. Heat released to the surrounding has negative sign. Work done on the system has positive sign. Work done by the system has negative sign.
B. Heat absorbed by the system has negative sign. Heat released to the surrounding has positive sign. Work done on the system has positive sign. Work done by the system has negative sign.
C. Heat absorbed by the system has negative sign. Heat released to the surrounding has positive sign. Work done on the system has negative sign. Work done by the system has positive sign.
D. Heat absorbed by the system has positive sign. Heat released to the surrounding has negative sign. Work done on the system has negative sign. Work done by the system has positive sign.
| 1 |
Chemistry
|
For water at \( 25^{\circ} \mathrm{C}, 2 \times 10^{-7} \) moles per
litre is the correct answer for which one
of the following?
\( \mathbf{A} \cdot\left[H^{+}\right]+\left[O H^{-}\right] \)
B . \( \left[H^{+}\right]^{2} \)
c. \( \left[O H^{-}\right]^{2} \)
\( \mathbf{D} \cdot\left[H^{+}\right]-\left[O H^{-}\right] \)
| 1 |
Chemistry
|
Which of the following will not give halo benzene by reacting with benzene diazonium chloride?
\( \mathbf{A} \cdot C u_{2} B r_{2} / H B r \)
в. \( K I \)
c. \( S n C l_{2}+H C l \)
D. \( C u \) powder \( +H C l \)
| 1 |
Chemistry
|
In a certain hypothetical radioactive decay process, species A decays into species B and species B decays into species \( C \) according to the reactions \( \boldsymbol{A} \rightarrow 2 \boldsymbol{B}+ \) particles \( + \)energy
\( \boldsymbol{B} \rightarrow \mathbf{2} \boldsymbol{C}+\boldsymbol{\text {particles}}+ \)energy
The decay constant for species A is \( \lambda_{1}=1 s^{-1} \) and that for species B is
\( \lambda_{2}=100 s^{-1} . \) Initially, \( 10^{4} \) moles of
species of A were present while there was none of \( \mathrm{B} \) and \( \mathrm{C} \). It was found that
while there was none of \( B \) and \( C \). It was
found that species B reaches its
maximum number at a time \( t_{0}= \) \( 2 \ln (10) s . \) Calculate the value of
maximum number of moles of B
| 3 |
Physics
|
Can we separate the compounds of azeotropic mixture by fractional distillation? Explain
| 1 |
Chemistry
|
The number of solutions of the
equation \( \sin ^{-1}\left(\frac{1+x^{2}}{2 x}\right)=\frac{\pi}{2} \sec (x- \)
1) is
| 2 |
Maths
|
Which one of the following is not correctly matched?
A. Flame cells-platyhelminthes
B. stinging cells-coelenterates
c. Metameric segmentation-molluscs
D. Gill slits-chordates
| 0 |
Biology
|
What features of cockroach are
adaptations for its terrestrial and
nocturnal life?
| 0 |
Biology
|
Why ice is lighter than water?
| 1 |
Chemistry
|
If \( m \) arithmetic means are inserted
between 1 and 31 so that the ratio of the
\( 7 t h \) and \( (m-1) t h \) means is \( 5: 9, \) then
the value of \( m \) is
\( \mathbf{A} \cdot \mathbf{9} \)
B. 11
c. 13
D. 14
| 2 |
Maths
|
A body cools from \( 62^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \) in 10
minutes. If the temperature of the
surroundings is \( 26^{\circ} \mathrm{C} \), then the
temperature of the body after next 10 minutes will be:
A \( \cdot 41^{\circ} \mathrm{C} \)
B . \( 44^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 46^{\circ} C \)
D. \( 48^{\circ} \mathrm{C} \)
| 3 |
Physics
|
Fusion reactions take lace at high
temperature because
A. atoms are ionized at high temperature
B. molecules break up at high temperature
C . nuclei break up at high temperature
D. kinetic energy is high enough to overcome repulsion between nuclei
| 3 |
Physics
|
Define translocation.
| 0 |
Biology
|
A dealer marks his goods at \( 30 \% \) above the cost price and allows a discount of
\( 20 \% \) on the marked price. Find his gain
or loss per cent.
| 2 |
Maths
|
A solution of \( K M n O_{4} \) is reduced to
\( M n O_{2} . \) The normality of solution is 0.6
The molarity is:
A. 1.8 m
в. 0.6 м
\( c .0 .1 \mathrm{M} \)
D. 0.2M
| 1 |
Chemistry
|
Antoine bought a new electric guitar
that \( \operatorname{cost} \$ 588.60 \) after \( 9 \% \) sales tax
was added. What was the price of the guitar without tax?
\( A \cdot \$ 536 \)
B. \( \$ 540 \)
\( c . \$ 542 \)
D. \( \$ 545 \)
E. \( \$ 548 \)
| 2 |
Maths
|
Inspiration occurs when
A. Pressure inside lungs is lower than atmospheric
pressure
B. Pressure inside lungs is higher than atmospheric
pressure
C. Pressure inside lungs is same as atmospheric pressure
D. Pressure has no effect
| 0 |
Biology
|
Two liquids \( A \) and \( B \) form type II non ideal solution which shows a minimum
in its temperature-mole fraction plot \( T-\chi \text { diagram }) . \) Can the two liquids be
completely separated by fractional distillation?
| 1 |
Chemistry
|
The life cycle of mulberry silk worm is completed within
A. 20 days
B. 30 days
c. 35 days
D. 45 days
| 1 |
Chemistry
|
Examples of three detergents are given
below. Mark the correct statements
following the examples.
(I) \( \quad \mathbf{C H}_{3}\left(\mathbf{C H}_{2}\right)_{10} \mathbf{C H}_{2} \mathbf{O S O}_{3}^{-} \mathbf{N a}^{+} \)
\( \left.(\mathrm{II}) \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{\mathrm{Il}} \sqrt{\bigcirc}\right\rangle-\mathrm{so}_{3}^{-} \mathrm{Na}^{+} \)
\( \mathrm{CH}_{3} \)
\( \left.(\mathrm{III}) \mathrm{CH}_{3}+\mathrm{CH}-\mathrm{CH}_{2}\right)_{3}-\mathrm{CH}-\langle\Theta\rangle-\mathrm{SO}_{3}^{-} \mathrm{Na}^{+} \)
A. I and II are non-diodegradable detergents and III is biodegradable.
B. I and II are biodegradable detergents and III is nonbiodegradable.
C. \( 1, \) II and III are non-biodegradable detergebts
D. I is biodegradable and II, III are non-biogegradable
| 1 |
Chemistry
|
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. \( l+\mathrm{m}+\mathrm{n}=0 \)
| 2 |
Maths
|
Find the approximate value of mode for
the following data:
\( \begin{array}{lllll}\text { Marks } & 50- & 60- & 70- & 80 \\ & 60 & 70 & 80 & 900\end{array} \)
Students 24 12
\( \mathbf{A} \cdot 71 \)
B. 72
\( c \cdot 73 \)
D. 74
| 2 |
Maths
|
Why do we see only one side of the moon
always?
| 3 |
Physics
|
Find the discriminant for the given equation:
\( \mathbf{3} \boldsymbol{x}^{2}+\mathbf{2} \boldsymbol{x}-\mathbf{1}=\mathbf{0} \)
A . 11
B. 13
c. 15
D. 16
| 2 |
Maths
|
The ratio of inversion temperature and Boyle's temperature for a real gas is
| 1 |
Chemistry
|
A conducting rod of length \( l \) is hinged at
point \( 0 . \) It is free to rotate in a vertical
plane. There exists a uniform magnetic field \( \vec{B} \) in horizontal direction. The rod is
released from the position shown. The potential difference between the two
ends of the rod is proportional to:
This question has multiple correct options
\( A \cdot l^{3 / 2} \)
B \( \cdot l^{2} \)
\( c \cdot \sin \theta \)
D. \( (\sin \theta)^{1 / 2} \)
| 3 |
Physics
|
Describe any four occupational respiratory disorders
| 0 |
Biology
|
Find \( p \in R \) for \( x^{2}-p x+p+3=0 \) has
A. One positive and one negative root.
B. Both roots are negative
c. one root \( >2 \) and the other root \( <2 \)
D. None of the above
| 2 |
Maths
|
Q Type your question
\( \mathbf{U}_{\mathbf{2}} \perp \mathbf{v}_{\mathbf{2}} \overrightarrow{\mathbf{\Delta}}^{\mathbf{\lambda}} \mathbf{A} \)
A can be
This question has multiple correct options
\( \mathbf{A} \)
\( B \)
\( C \)
D.
| 1 |
Chemistry
|
The density of a \( 10.0 \% \) by mass of \( \mathrm{KCl} \) solution in water \( 1.06 \mathrm{g} / \mathrm{mL} \). Calculate molarity, molality and mole fraction of KCl in this solution respectively.
A. \( 3.42 \mathrm{M} ; 1.489 \mathrm{m} ; 0.046 \)
B. 2.42 М; \( 1.489 \mathrm{m} ; 0.026 \)
c. 1.42 М; \( 1.489 \mathrm{m} ; 0.026 \)
D. none
| 1 |
Chemistry
|
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{5} \sin ^{2} \boldsymbol{x} \) be
an increasing function on the set \( R \)
Then, \( a \) and \( b \) satisfy
A \( \cdot a^{2}-3 b-15>0 \)
B . \( a^{2}-3 b+15>0 \)
c. \( a^{2}-3 b+15<0 \)
D. \( a>0 \) and \( b>0 \)
0
| 2 |
Maths
|
The least count of a stop-watch is
\( (1 / 5) s . \) The time of 20 oscillations of a pendulum is measured to be 25 s. What is the maximum percentage error in this measurement?
\( A \cdot 8 \% \)
B. 1\%
c. \( 4 \% \)
D. \( 16 \% \)
| 3 |
Physics
|
羊 里 月 卓
| 3 |
Physics
|
The separation of colloidal particles from those molecular dimension is
known as:
A. dialysiss
B. electrophoresis
c. peptization
D. pyrolysis
| 1 |
Chemistry
|
A barometer tube, containing mercury, is lowered in a vessel containing mercury until only \( 50 \mathrm{cm} \) of the tube is
above the level of mercury in the vessel.
If the atmospheric pressure is \( 75 \mathrm{cm} \) of
mercury, what is the pressure at the top of the tube
A. \( 33.3 k P a \)
в. \( 66.7 k P a \)
c . 3.33 M \( P a \)
D. \( 6.67 M P a \)
| 3 |
Physics
|
The equilibrium constant for the given reaction is 81 at a certain temperature
If the concentrations of \( \boldsymbol{H}_{2} \) and \( \boldsymbol{I}_{2} \) are 3
moles/lit each at equilibrium, the equilibrium concentration of HI is:
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \leftrightharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
A. 3 mole / lit
B. 27 mole / lit
c. 9 mole / lit
D. 13.5 mole / lit
| 1 |
Chemistry
|
occurs when a light ray bounces back from a barrier.
A. Refraction
B. Reflection
c. Dispersion
D. Scattering
| 3 |
Physics
|
Which sugar is known as milk sugar?
A. Maltose
B. Lactose
c. Glucose
D. Fructose
| 1 |
Chemistry
|
Arrange the following compounds in increasing order of their property as indicated:
(i) \( \boldsymbol{F}-\boldsymbol{C H}_{2} \boldsymbol{C O O H}, \boldsymbol{O}_{2} \boldsymbol{N}- \)
\( \boldsymbol{C H}_{2} \boldsymbol{C O O H}, \boldsymbol{C H}_{3} \boldsymbol{C O O H}, \boldsymbol{H C O O H}- \)
acid character
(ii) Acetone, Acetaldehyde, Benzaldehyde, Acetophenone reactivity towards addition of \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{N} \)
| 1 |
Chemistry
|
A uniform bar of mass \( M \) and length \( L \)
collides with a horizontal surface.
Before collision, velocity of centre
of mass was \( v_{0} \) and no angular velocity. Just after collision, velocity of centre of
mass of bar becomes \( \boldsymbol{v} \) in upward
direction as shown. Angular velocity \( \omega \)
of the bar just after impact is:
\( A \)
в.
c. \( \frac{\left(v_{0}+v\right) \cos \theta}{L} \)
\( D \)
| 3 |
Physics
|
When \( 1 g \) of water \( \operatorname{at} 0^{\circ} C \) and \( 1 \times \) \( 10^{5} N / m^{2} \) pressure is converted into
ice of volume \( 1.091 \mathrm{cm}^{3} \), the external
work done will be:
A. 0.0091 joule
B. 0.0182 joule
c. -0.0091 joule
D. - 0.0182 joule
| 3 |
Physics
|
A car covers first \( 100 \mathrm{km} \) in \( 2 \frac{1}{2} \) hours and then travels at a speed of
\( 60 \mathrm{km} / \mathrm{hr} \) for \( 1 \frac{1}{2} \) hours. Find the
average speed of the car for the whole
journey
| 2 |
Maths
|
Why is \( B F_{3} \) used as a catalyst in several industrial processes?
| 1 |
Chemistry
|
Given, \( \boldsymbol{f}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}^{2}+\boldsymbol{a} \)
If \( a \) is a constant and \( f(2)+f(3)= \)
\( f(5), \) calculate the value of \( a \)
\( A \cdot 6 \)
B. 12
\( c \cdot 24 \)
D. 48
| 2 |
Maths
|
State whether given statement is True or False.
Science is Classified into various
branches like physics, chemistry, biology, medical science, agriculture
science ?
A. True
B. False
| 3 |
Physics
|
When a glass rod is rubbed with silk
cloth, it acquires positive charge because:
A. electrons are added to it
B. electrons are removed from it
c. protons are added to it
D. protons are removed from it
| 3 |
Physics
|
Which of the following is correct about chemical reaction?
A. Mass of catalyst remain unchanged
B. Physical state of catalyst remain unchanged
c. changes in chemical composition of catalyst may be observedd
D. None of the above
| 1 |
Chemistry
|
A monoprotic acid in \( 100 M \) solution is \( 0.001 \% \) ionized. The dissociation
constant of this acid is:
A \( \cdot 1.0 \times 10^{-3} \)
B. \( 1.0 \times 10^{3} \)
c. \( 1.0 \times 10^{-8} \)
D. \( 1.0 \times 10^{-10} \)
| 1 |
Chemistry
|
In electrolytic solutions, carrier of
charge is
A. proton
B. electron
c. neutron
\( D \cdot \) ion
| 1 |
Chemistry
|
Several scientist gave different definition of species. One of those
definitions, a population or group of populations whose members have the potential in nature to interbreed and produce fertile offspring. Which of the statement is related to this definition?
A. Species that reproduce sexually
B. Species that reproduce asexually only
c. specie that form sterile hybrids upon mating
D. Extinct forms of life, based on fossil evidence
E. Species living on separate continents
| 0 |
Biology
|
A rectangular loop carrying a current \( i \) is placed in a uniform magnetic field \( B \). The area enclosed by the loop is \( A \). If there are \( n \) turns in the loop, the torque acting on the loop is given by
\( \mathbf{A} \cdot n i(\bar{A} \times \bar{B}) \)
в. \( n i(\overline{A . \bar{B}}) \)
\( \frac{i(\bar{A} \times \bar{B})}{n} \)
D. \( \frac{i(\bar{A} . \bar{B})}{n} \)
| 3 |
Physics
|
Electronic configuration of chlorine is :
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{1} 3 p^{6} \)
B . \( 1 s^{2} 2 s^{2} 2 p^{5} 3 s^{2} 3 p^{6} \)
c. \( 1 s^{2} 2 s^{2} 2 p^{6} 4 s^{2} 4 p^{5} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \)
| 1 |
Chemistry
|
The figure shows three concentric metallic spherical shells. The outermost
shell has charged \( q_{2}, \) the innermost
shell has charged \( q_{1} \), and the middle shell is undercharged. The charge
appearing on the inner surface of the outermost shell is
A \( \cdot(a) q_{1}+q \)
\[
q
\]
B. \( (b) \frac{q}{2} \)
\( c \cdot(c)-q \)
\( D \cdot(d) \) Zero
| 3 |
Physics
|
Peptization is a reverse of coagulation.
A. True
B. False
| 1 |
Chemistry
|
In which of the following reactions, the product obtained is tert-butyl methyl ether?
B. \( \quad H_{3} C-\underset{C}{C}^{C H_{3}}-B r+C H_{3} O H \stackrel{O H^{-} N a}{\rightarrow} \)
c.
\[
C H_{3} B r+N a^{+} O^{-}-\underset{C_{3}}{C_{3}}^{C H_{3}}-C H_{3} \rightarrow
\]
D. \( C H_{3}-O^{-} N a^{+}+C H_{3}-C_{C}-B r \rightarrow \)
\[
_{C H_{3}}^{-}
\]
| 1 |
Chemistry
|
If paintbrushes cost \( \$ 1.50 \) each and canvases cost 6 times that much, which of the following represents the cost, in dollars, of p paintbrushes and c
canvases?
A. 7.5pc
B. 10.5pc
c. \( 9 c+1.5 p \)
D. \( 10.5(p+c) \)
| 2 |
Maths
|
A current carrying small loop of one turn behaves like a small magnet. If \( A \) be its
area, \( M \) its magnetic moment, the current in the loop will be
A \( \cdot \frac{M}{A} \)
в. \( \frac{A}{M} \)
c. \( M A \)
D. \( A^{2} M \)
| 3 |
Physics
|
Find the derivative by first principle
\( \cos 5 x \)
| 2 |
Maths
|
Assume the cell has a diploid number of
4. If the above chromosomes are in the
tetrad or bivalent stage of meiosis, which statement below is correct about
the events of anaphase I?
A. Two of the tetrads will go to one cell, and two will go to the other
B. Sister chromatids will break apart and each will go in one of four cells
c. one member of each homologous pair will go into each of the two cells
D. The tetrads will separate but each new cell will still be diploid since each chromosome has two chromatids
| 0 |
Biology
|
State, whether the following statement
is True or False:
In homologous series, all members have the same physical properties.
| 1 |
Chemistry
|
\( f(R=1 \Omega, \text { the current in the branch } x \) is
| 3 |
Physics
|
\( C_{6} H_{5} C H_{3} \frac{C r O_{2} C l_{2}}{\longrightarrow} A \stackrel{H_{2} O}{\longrightarrow} B \)
The functional group present in \( \mathrm{B} \) and name of the reaction would be :
A. \( -C H O \), Gattermann aldehyde synthesis
B. \( -C H O \), Etard reaction
c. \( -C O C H_{3} \), Friedel Crafts reaction
D. \( -C H O \), Oxo reaction
| 1 |
Chemistry
|
Explain how square is a quadrilateral.
A. All angles are equal
B. Because it is four sided
c. Two sides are equal
D. None of these
| 2 |
Maths
|
Incomplete loop of Henle is found in
\( \mathbf{A} \)
Frog
\( \mathbf{B} \)
Human
\( \mathbf{c} \)
Bird
D.
Mammal
| 0 |
Biology
|
A concave mirror produces 10 times enlarged image (real) of an object
placed \( 1 c m \) in front of it. Where is the
image located?
A \( .5 \mathrm{cm} \)
B. \( -10 \mathrm{cm} \)
c. \( -5 c m \)
D. \( 10 \mathrm{cm} \)
| 3 |
Physics
|
If it rains on Republic Day parade an
Auto Riksha earns Rs. \( 240, \) on the other
hand it does not rain he loses Rs. \( 60 . \) The
probability of rain on Republic Day parade is \( 0.6 . \) What is the value of expected income of an Auto Riksha on
Republic Day parade?
A . Rs. 150
B. Rs. 45
c. Rs. 120
D. Rs. 10
| 2 |
Maths
|
If \( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B})=\boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) . \boldsymbol{A} \) and \( \boldsymbol{B} \) are two
non-mutually exclusive events then
A. \( A \) and \( B \) are necessarily same events
в. \( P(A)=P(B) \)
c. \( P(A \cap B)=P(A) P(B) \)
D. all the above
| 2 |
Maths
|
The bright colours of ripe fruits are due
to
A. Leucoplasts
B. Chloroplasts
c. Amyloplasts
D. Chromoplasts
| 0 |
Biology
|
The molecularity of a reaction will be:
A . fractional
B. zero
c. positive whole number
D. negative
| 1 |
Chemistry
|
Change the following degree measures
to radian measure: \( 45^{\circ} \)
\( ^{\mathbf{A}} \cdot \frac{\pi}{6} \) radians
B \( \cdot \frac{\pi}{3} \) radians
c. \( \frac{\pi}{4} \) radians
D \( \cdot \frac{\pi}{2} \) radians
| 2 |
Maths
|
The wire having a black plastic covering
is a
A. live wire
B. neutral wire
c. earth wire
D. none of these
| 3 |
Physics
|
fa minima is formed at the detector, then the magnitude of wavelength \( \lambda \) of the wave produced is given by
A \( .2 \pi R \)
в. \( \frac{3}{2} \pi R \)
c. \( \frac{5}{2} \pi \)
D. none of these
| 3 |
Physics
|
The ratio of specific charge \( e / m \) of an electron to that of a hydrogen ion is
A . 1: 1
B. 1840: 1
c. 1: 1840
D. 2: 1
| 3 |
Physics
|
Tert-butyl methyl ether on treatment
with hydrogen iodide in cold gives:
A. tert-butyl iodide and methyl iodide
B. tert-butyl alcohol and methyl alcohol
C. tert-butyl alcohol and methyl iodide
D. tert-butyl iodide and methyl alcohol
| 1 |
Chemistry
|
How should people wearing spectacles
work with a microscope?
A. They should keep on wearing their spectacles
B. They should never use the microscope
C. They should take off their spectacles
D. They may either put on their spectacles or they may take off their spectacles
| 3 |
Physics
|
In the following increasing function is
A \( \cdot e^{x^{2}}^{2} \)
B \cdot \( e^{x^{3}} \)
\( c \cdot e^{0} \)
D. all the above
| 2 |
Maths
|
Among the following which is chemically inert?
A . Alkali metal
B. Alkaline earth metal
c. Transition metal
D. Halogen
E. Noble gas
| 1 |
Chemistry
|
Sketch the graph for \( y=\tan ^{-1}(\tan x) \)
| 2 |
Maths
|
Which of the following is not true for \( \mathbf{1} \boldsymbol{H}^{1}, \mathbf{1} \boldsymbol{H}^{2}, \mathbf{1} \boldsymbol{H}^{3} \mathbf{?} \)
A. They are isotopes of each other
B. They have similar electronic configurations
c. They exist in the nature in the ratio of 1: 2: 3
D. Their atomic masses are in the ratio of 1: 2: 3
| 1 |
Chemistry
|
Will geographical isolation be a major factor in the speciation of self pollinating plant species?Why or why not?
| 0 |
Biology
|
\( \boldsymbol{A} \cap \boldsymbol{X}=\boldsymbol{B} \cap \boldsymbol{X}=\boldsymbol{\phi} \& \boldsymbol{A} \cup \boldsymbol{X}=\boldsymbol{B} \cup \boldsymbol{X} \)
prove that \( \boldsymbol{A}=\boldsymbol{B} \)
| 2 |
Maths
|
Explain the concept of a parallel plate capacitor. State its any 'two' applications.
| 3 |
Physics
|
Solve: \( \boldsymbol{x}+\frac{\mathbf{1}}{\boldsymbol{x}}=\mathbf{5} \)
| 2 |
Maths
|
Suppose the cubic \( x^{3}-p x+q=0 \) has
three distinct real roots where \( p>0 \)
and \( \boldsymbol{q}>0 . \) Then,which one of the
following holds?
A. Minima at \( \sqrt{\frac{P}{3}} \) and maxima at \( -\sqrt{\frac{p}{3}} \)
B. Minima at \( -\sqrt{\frac{P}{3}} \) and maxima at \( \sqrt{\frac{p}{3}} \)
C. minima at both \( \sqrt{\frac{p}{3}} \) and \( -\sqrt{\frac{p}{3}} \)
D. Mixima at both \( \sqrt{\frac{P}{3}} \) and \( -\sqrt{\frac{P}{3}} \)
| 2 |
Maths
|
When all the parallel rays reflected from a plane surface are parallel, the reflection is known as:
A . regular reflection
B. irregular reflection
c. diffused reflection
D. none of these
| 3 |
Physics
|
Evaluate the following: \( \int(1+x) e^{x} d x \)
| 2 |
Maths
|
For a sparingle soluble salt \( A_{p} B_{q} \). the relationship of its solubility product
\( \left(L_{s}\right) \) with its solubility (S) is:
A \( \cdot L_{s}=S^{p+q} p^{p} q^{q} \)
B \( \cdot L_{s}=S^{p+q} p^{q} q^{p} \)
c. \( L_{s}=S^{p q} p^{p} q^{q} \)
D. \( L_{s}=S^{p q}(p q)^{p+q} \)
| 1 |
Chemistry
|
What are the two properties of carbon which lead to the formation of a large
number?
| 1 |
Chemistry
|
Find the electric field both inside the
shell at a distance \( r \) from the centre.
\( ^{A} \cdot \frac{Q}{4 \pi \epsilon_{0} a^{2}} \)
в. \( \frac{Q r}{4 \pi \epsilon_{0} a^{2}} \)
c. \( \frac{Q}{4 \pi \epsilon_{0} a^{3}} \)
D. \( \frac{Q r}{4 \pi \epsilon_{0} a^{3}} \)
| 3 |
Physics
|
The decrease in potential energy between top position \( A \) and bottom position B is,
\( =\boldsymbol{m} \boldsymbol{g} \boldsymbol{r}-(-\boldsymbol{m} \boldsymbol{g} \boldsymbol{r})=\boldsymbol{2 m} \boldsymbol{g} \boldsymbol{r} \quad \ldots \)
This must be equal to the increase in kinetic energy, when particle move from \( A \) to \( B \)
i.e. \( \frac{1}{2} \boldsymbol{m} \boldsymbol{v}_{2}^{2}-\frac{1}{2} \boldsymbol{m} \boldsymbol{v}_{1}^{2} \)
| 3 |
Physics
|
A sample of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) solution labelled as
28 volume has density of 265 g/L. Mark the correct option(s) representing concentration of same solution in other
units.
This question has multiple correct options
A. Molarity of \( H_{2} O_{2}=2.5 \)
B. Percentage \( w / v=17 \)
C. Mole fraction of \( H_{2} O_{2}=0.2 \)
D. Molality of \( H_{2} O_{2}=13.88 \)
| 1 |
Chemistry
|
The ratio of the area's bounded by the curves \( y^{2}=12 x \) and \( x^{2}=12 y \) is
divided by the line \( x=3 \) is
A .15: 49
B. 9: 15
\( c \cdot 7: 15 \)
D. 7:5
| 2 |
Maths
|
The first noble gas compound prepared by Bartlett is :
A \( \cdot \mathrm{xeF}_{2} \)
в. КrF \( _{2} \)
c. \( \mathrm{xePtF}_{6} \)
D. \( \mathrm{xeO}_{3} \)
| 1 |
Chemistry
|
R.Q. is less than one at the time of respiration of
A. Starch
B. Sugarcane
c. Glucose
D. Groundnut
| 0 |
Biology
|
An atom is initially at an energy level \( \boldsymbol{E}=-\mathbf{6 . 5 2} e \boldsymbol{V} . \) It absorbs a photon of
wavelength \( 860 n m . \) The internal energy
of atom after absorbing photon is
A . \( 5.08 e V \)
B. \( 1.44 e V \)
c. \( -1.44 e V \)
D. \( -5.08 e V \)
| 3 |
Physics
|
Describe in brief what is observed when
moving electrons are allowed to fall on a thin graphite film and the emergent beam falls on a fluorescent screen.
| 3 |
Physics
|
The reverse saturation current of a
silicon diode
A. doubles for every \( 10^{\circ} \mathrm{C} \) increase in temperature
B. does not change with temperature
C. halves for every \( 1^{\circ} \mathrm{C} \) decrease in temperature
D. increases by 1.5 times for every \( 2^{\circ} C \) increment in temperature
| 3 |
Physics
|
If \( \sin ^{-1} x=\frac{\pi}{5} \) for \( \operatorname{somex} \in[-1,1] \) then
find the value of \( \cos ^{-1} x \)
| 2 |
Maths
|
Select correct statement.
A. Based on reactivity series, occurrence of certain elements takes place in native state
B. Due to basic nature of oxides of alkaline earth elements, they combine with atmospheric acidic oxides giving salts
c. Both
(a) and (b) are correct
D. None of the above is correct
| 1 |
Chemistry
|
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