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LED is better than bulb to use in a tester
as:
A. it glows even when weak current passes through it.
B. it emits more light
c. it is cheaper.
D. all of the above
| 1 |
Chemistry
|
Number of isomers of hexane.
| 1 |
Chemistry
|
Which of the following is responsible for the earth's magnetic field?
A. Convective currents in earth's core
B. Diversive current in earth's core
c. Rotationa motion of earth.
D. Translational motion of earth
| 3 |
Physics
|
\( A B C D \) is a rectangle and \( \angle B O C= \)
\( 66^{\circ} . \) The value of \( x \) is
A \( \cdot 104^{\circ} \)
B. \( 114^{\circ} \)
\( c \cdot 60^{\circ} \)
\( D \cdot 33^{\circ} \)
| 2 |
Maths
|
Which of the following statement is
correct:
A. Sodium hydroxide turns blue litmus red.
B. Nitric acid turns red litmus blue.
C. Sodium hydroxide turns red litmus blue
D. tooth decay is caused by the presence of a base
| 1 |
Chemistry
|
Find the area of the circular park of
Janakpuri whose circumference is
\( 77 m 77 m \)
A \( .671 .87 m^{2} \)
B. \( 331.62 m^{2} \)
\( \mathbf{c} \cdot 471.62 m^{2} \)
D \( .401 .62 m^{2} \)
| 2 |
Maths
|
Nucleic acids are polymers of:
A. Nucleotides
B. Nucleosides
c. Nuclei of heavy metals
D. Proteins
| 1 |
Chemistry
|
A charge \( q \) is located at the centre of a cube. The electric flux through any face is :
A \( \cdot \frac{\pi q}{6\left(4 \pi \varepsilon_{0}\right)} \)
в. \( \frac{q}{6\left(4 \pi \varepsilon_{0}\right)} \)
c. \( \frac{4 \pi q}{6\left(4 \pi \varepsilon_{0}\right)} \)
D. \( \frac{4 \pi q}{\frac{1}{6}\left(4 \pi \varepsilon_{0}\right)} \)
| 3 |
Physics
|
If the rate of \( V A T \) increases by \( 2 \% \) then selling price of an article goes up by
Rs. 140. Find the marked price of the article
A. \( R s .1000 \)
в. \( R s .7000 \)
c. \( R s .7500 \)
D. \( R s .9000 \)
| 2 |
Maths
|
Water rises in the stem due to
A. Cohesion and transpiration pull
B. Turgor pressure
c. osmotic pressure
D. None of the above
| 0 |
Biology
|
In right triangle \( E D F \) is figure, the
length of \( \overline{D F} \) is \( 2 \mathrm{cm}, \) and the length of EF is \( 7 \mathrm{cm} \). Calculate the measure of
\( \angle E F D, \) to the nearest hundredth of a
degree. (Use \( \left.\sin 73.4^{0}=0.9583\right) \)
\( \mathbf{A} \cdot 15.95^{\circ} \)
в. \( 16.6^{\circ} \)
\( c \cdot 73.40^{\circ} \)
D. \( 90^{\circ} \)
E . 99.9
| 2 |
Maths
|
For the function \( f(x)=x^{2}+2 x+2 \)
the point \( x=-1 \) is a:
A. Point of Inflection
B. Maxima
c. Minima
D. None of these
| 2 |
Maths
|
What is the Sl unit of electric charge?
A . coulombs
B. amperes
c. volts
D. watts
| 3 |
Physics
|
On a dry day, sound travels a certain distance in 10 seconds. What is the time
required for sound to travel the same distance on a humid day. The densities
of dry air and humid air are in the ratio 3: 2:
A. 8.165 sec
B. 7.165 sec
c. 5.165 sec
D. 4.165 sec
| 3 |
Physics
|
An emf can be induced between the two
ends of straight copper wire when it is moved through a uniform magnetic field.
A. True
B. False
| 3 |
Physics
|
Divide \( \left(36 x^{2}-4\right) \) by \( (6 x-2) \)
A. \( 3 x-1 \)
B. \( 3 x+1 \)
c. \( 6 x-2 \)
D. \( 6 x+2 \)
| 2 |
Maths
|
In ethane \( C_{2} H_{6}, \) C-C forms:
A. sigma bond
B. pibond
c. covalent bond
D. electrovalent bond
| 1 |
Chemistry
|
The level formed due to impurity atom, in the forbidden energy gap, very near to the valence band in a P-type semiconductor is called
A. an acceptor level
B. a donor level
c. a conduction level
D. none of these
| 3 |
Physics
|
Mercury is a good conductor of heat.State true or false.
A . True
B. False
| 3 |
Physics
|
The shortest distance travelled by a
particle performing SHM from its mean position in \( \operatorname{secs} \text { is } 1 / \sqrt{(} 2) \) of its amplitude. Find its time period:
\( A \cdot 8 \)
B. 16
\( c \cdot 4 \)
D.
| 3 |
Physics
|
Birds glide effortlessly in the air with the help of
A. Conduction of heat in the air
B. Radiation of light through the atmosphere
c. convection currents of air
D. More sugar
| 3 |
Physics
|
The potential barrier of a silicon junction diode is \( 0.7 V . \) If the thickness
of the depletion layer in it is \( 10^{-4} \mathrm{cm} \) Then the intensity of electric field across the junction is
A \( \cdot 7 \times 10^{3} V / m \)
в. \( 7 \times 10^{5} V / m \)
C \( .7 \times 10^{-5} V / m \)
D. \( 7 \times 10^{-4} V / m \)
| 3 |
Physics
|
If the points (2,0),(0,1),(4,5) and \( (0, c) \) are concyclic, then the value of \( c \) is This question has multiple correct options
A . -1
B.
c. \( \frac{14}{3} \)
D. \( -\frac{14}{3} \)
| 2 |
Maths
|
Electron density studies have revealed that \( X \) and \( Y \) have an equal number of
electrons.What are \( X \) and \( Y ? \)
\( \mathbf{A} \cdot C a^{+} \) and \( \mathbf{K} \)
B. \( H^{+} \) and \( \mathrm{He} \)
c. \( \mathrm{cl} \) and \( \mathrm{F} \)
D. \( O^{-} \) and \( S^{+} \)
E. None of the above
| 1 |
Chemistry
|
For a binomial distribution if \( \boldsymbol{P}=\frac{\mathbf{2}}{\mathbf{3}} \)
and \( n=10 \) the probability of mode is
\( ^{\mathbf{A}} \cdot_{^{10}} C_{4}\left(\frac{1}{3}\right)^{7}\left(\frac{2}{3}\right)^{3} \)
\( ^{\mathrm{B}} \cdot_{^{10}} C_{7}\left(\frac{2}{3}\right)^{7}\left(\frac{1}{3}\right)^{3} \)
\( ^{c}\left(\frac{2}{3}\right)^{7}\left(\frac{1}{3}\right)^{3} \)
\( ^{\text {D }}\left(\frac{1}{3}\right)^{7}\left(\frac{2}{3}\right)^{3} \)
| 2 |
Maths
|
Epigynous and unisexual flowers are found in members of family
A. Caryophyllaceae
B. Campanulaceae
c. Myrtaceae
D. Cucurbitaceae
| 0 |
Biology
|
Find the partial fraction \( \frac{2 x+1}{(3 x+2)\left(4 x^{2}+5 x+6\right)} \)
| 2 |
Maths
|
Four similar particles of mass \( \mathrm{m} \) are orbiting in a circle of radius \( r \) in the
same angular direction because of their
mutual gravitational attractive force.
Velocity of a particle is given by
\( A \)
B. \( \sqrt{\frac{G m}{r}} \)
c. \( \sqrt{\frac{G m}{2}(1+2 \sqrt{2})} \)
\( \frac{1}{2}\left[\frac{G m}{r}\left(\frac{1+2 \sqrt{2}}{2}\right)\right]^{\frac{1}{2}} \)
| 3 |
Physics
|
Consider the following liquid-vapour equilibrium
Liquid \rightleftharpoons्<__ACCGRAVE__>ेvapour Which of the following relations is
correct?
\( \mathbf{A} \cdot \frac{d}{d T} \underbrace{I n}_{P}=\frac{-\Delta H_{v}}{R T} \)
в. \( \frac{d n \quad P}{d T^{2}}=\frac{-\triangle H_{v}}{T^{2}} \)
\( ^{\mathrm{c}} \cdot \frac{d \operatorname{In} P}{d T}=\frac{\Delta H_{v}}{R T^{2}} \)
D. \( \frac{d \text { In } G}{d T^{2}}=\frac{\Delta H_{v}}{R T^{2}} \)
| 1 |
Chemistry
|
Q Type your question
1.5 has a radius of curvature \( 20 \mathrm{cm} . \) The
concave surface has a radius of
curvature \( 60 \mathrm{cm} . \) The convex side is
silvered and placed on a horizontal
surface.
If the concave part is filled with water of
refractive index \( 4 / 3, \) find the distance
through which the pin should be moved
so that the image of the pin again
coincides with the pin?
A. \( \Delta x=1.15 c m, u p \)
B. \( \Delta x=3.15 \mathrm{cm}, \) down
c. \( \Delta x=0.05 c m, u p \)
\( \Delta x=1.15 c m, d o w n \)
| 3 |
Physics
|
Write IUPAC name of the following
compound.
A. 3 -Hydroxy-2-methylpentanoic acid
B. 4 -Methyl-3-hydroxypentanoic acid
c. 3 -hydroxy-4-methylpentanoic acid
D. 2-Methyl-2-hydroxypentanoic acid
| 1 |
Chemistry
|
Associate law of vector addition is
A. The sum of vectors remains same irrespective of their order or grouping in which they are arranged.
B. The sum of vectors is different irrespective of their order or grouping in which they are arranged.
C. The sum of vectors changes with the change of their order or grouping in which they are arranged
D. None of the above
| 3 |
Physics
|
Among the following, the incorrect
statement is:
A. Cellulose and amylose has 1,4 -glycosidic linkage
B. Maltose and lactose has 1,4-glycosidic linkage
C. Lactose contains \( \beta \) - D-galactose and \( \beta \) -D-glocose
D. Sucrose and amylose has 1,2-glycosidic linkages
| 1 |
Chemistry
|
A truck and a car are moving with same kinetic energy. They are brought to rest by the application of brakes which provide equal force.
A. both will cover equal distance
B. the truck will cover a greater distance
c. the car will cover a greater distance
D. none of the above
| 3 |
Physics
|
What are inter-halogen compounds?
| 1 |
Chemistry
|
When common salt is added to a
saturated solution of soap, soap is precipitated. This is based on the principle of
A. Common ion effect
B. Principle of solubility product
c. Adsorption from solution
D. Peptisation
| 1 |
Chemistry
|
A hollow metallic sphere of radius
\( 10 \mathrm{cm} \) is given a charge of \( 3.2 \times 10^{-9} \mathrm{C} \)
The electric intensity at a point \( 4 \mathrm{cm} \)
from the centre is
A \( \cdot 9 \times 10^{-9} N C^{-1} \)
В. \( 288 N C^{-1} \)
c. \( 2.88 N C^{-1} \)
D. zero
| 3 |
Physics
|
At \( 25^{\circ} C, \) the vapour pressure of methyl alcohol is 96.0 torr. The mole fraction of
\( C H_{3} O H \) in solution in which the
(partial) vapor pressure of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O H} \) is 23.0 torr at \( 25^{\circ} C \) is \( \frac{x}{y} . \) Find \( y-x \)
| 1 |
Chemistry
|
Electric flux is a
A. scalar
B. vector
c. constant
D. independent
| 3 |
Physics
|
Differentiate with respect to \( x \) :
\( e^{x} \log \sin 2 x \)
| 2 |
Maths
|
Choose the correct answer from the
alternatives given :
If Meselson and Stahls experiment is continued for four generations in bacteria, the ratio of \( N^{15}-N^{15}, N^{14}- \)
\( N^{15}, N^{14}-N^{14} \) containing DNA in the fourth generation would be
A . 1:1:10
B. 1:4:0
c. 0: 1: 3
D. 0:1:7
| 0 |
Biology
|
Find the volume of a sphere of radius
\( 2.1 \mathrm{cm}\left(\text { use } \pi=\frac{22}{7}\right) \)
| 2 |
Maths
|
A metal block has dimension \( 10 \mathrm{cm} \times \)
\( 5 c m \times 2 c m \).the ratio of maximum to
minimum resistance that can be
obtained from it is
\( \mathbf{A} \cdot 25: 1 \)
B. 1: 25
\( \mathbf{c} \cdot 10: 3 \)
D. 3: 10
| 3 |
Physics
|
In a nuclear reactor heavy water is used
as a
A. Moderate
B. Fuel
c. shield
D. Controlling element
| 3 |
Physics
|
A cannon fires successively two shells
with velocity \( v_{0}=250 m / s ; \) the first at
the angle \( \theta_{1}=60^{\circ} \) and the second at
the angle \( \theta_{2}=45^{\circ} \) to the horizontal, the
azimuth being the same. Neglecting the air drag, the time interval(in seconds) between firings leading to the collision of the shells is \( (10+x) \). Find the value of
x. (Take \( g=10 m / s^{2} \) and round-off your
answer to the nearest integer.)
| 3 |
Physics
|
Two iron rod \( A \) and \( B \) are taken. \( A \) is
dipped in dilute \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} . \boldsymbol{B} \) is first
dipped in conc. \( H N O_{3} \) and later in
dilute \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} . \) What will be the status
of iron rods after some time? Justify
| 1 |
Chemistry
|
f \( p=5+2 \sqrt{6} \) and \( q=\frac{1}{p}, \) find \( p^{2}+q^{2} \)
is :
A .49
B. 98
\( c .100 \)
D. None of these
| 2 |
Maths
|
A straight conductor \( 0.1 \mathrm{m} \) long moves in a uniform magnetic field ).1T. The velocity of the conductor is \( 15 \mathrm{m} / \mathrm{s} \) and is directed perpendicular to the field The e.m.f. induced between the two ends
of the conductors is.
A . \( 0.10 \mathrm{v} \)
B. 0.15 \( v \)
c. \( 1.50 v \)
D. 15.00
| 3 |
Physics
|
What is the result when \( 2 x^{2}+5 x-6 \) is
subtracted from \( 4 x^{2}-9 x+6 \)
| 2 |
Maths
|
Suggest four measures to check water pollution.
| 1 |
Chemistry
|
Which one is not correct about Krebs
cycle?
A. It is also called citric acid cycle.
B. The intermediate compound which links glycolysis with Krebs cycle is malic acid.
C. It occurs in mitochondria.
D. It start with six carbon compound.
| 0 |
Biology
|
A block of mass \( m \) slides down an
inclined plane of inclination \( \theta \) with
uniform speed. The coefficient of friction between the block and the plane
is \( \mu . \) The contact force between the
block and the plane is
\( \mathbf{A} \cdot m g \sin \theta \sqrt{1+\mu^{2}} \)
B. \( \sqrt{(m g \sin \theta)^{2}+(\mu m g \cos \theta)^{2}} \)
\( \mathrm{c} \cdot m g \sin \theta \)
D. \( m g \)
| 3 |
Physics
|
The sum of the length, breadth and depth of a cuboid is \( 19 \mathrm{cm} \) and the
length of its diagonal is \( 11 \mathrm{cm} \). Find the
surface area of the cuboid.
| 2 |
Maths
|
David wants to invest at most
Rs. 12,000 in bonds \( A \) and \( B \) According to the rule, he has to invest at
least \( R s .2,000 \) in Bond \( A \) and at least
Rs. 4,000 in Bond \( B \). If the rates of
interest on Bonds \( A \) and \( B \) respectively
are \( 8 \% \) and \( 10 \% \) perannum, formulate the problem as L.P.P. and solve it graphically for maximum interest. Also determine the maximum interest
received in a year.
| 2 |
Maths
|
If \( a-b=1 \) and \( a b=12, \) find the value
of \( \left(a^{2}+b^{2}\right) \)
| 2 |
Maths
|
A matrix having \( m \) rows and \( n \) columns
with \( m \neq n \) is said to be a
A. rectangular matrix
B. square matrix
c. identity matrix
D. scalar matrix
| 2 |
Maths
|
Antispasmodics are a group (class) of
medicines that can help to control some
symptoms that arise from part of the human body especially.
A . intestine
B. lungs
c. kidney
D. head
| 1 |
Chemistry
|
If the ratio of lengths, radii and Youngs
modulii of steel and brass wires in the
figure are a, b and c respectively. Then the corresponding ratio of increase in
their lengths would be:
A \( \cdot \frac{2 a}{h^{2}} \)
в. \( \frac{3 a}{2 b^{2} c} \)
c. \( \frac{3 c}{2 a b^{2}} \)
D. \( \frac{2 a^{2}}{b} \)
| 3 |
Physics
|
A beam of diameter \( d \) is incident on a
glass hemiphere as shown.If the radius
of curvature of the hemiphere is very large in composition to \( \mathrm{d} \), then the diameter of the beam at the base of the
hemiphere will be :
| 3 |
Physics
|
A moving coil galvanometer has a coil of area \( A \) and number of turns \( N . A \)
magnetic field \( \mathrm{B} \) is applied on it. The torque acting on it is given by \( \boldsymbol{\tau}=\boldsymbol{k} \boldsymbol{i} \)
where i is current through the coil. If moment of inertia of the coil is I about
the axis of rotation.
A charge \( Q \) is passed almost instantaneously through coil If the maximum angular deflection in it \( \mathbf{s} \boldsymbol{\theta}=\boldsymbol{Q} \sqrt{\frac{\boldsymbol{\pi} \boldsymbol{N} \boldsymbol{A} \boldsymbol{B}}{\boldsymbol{x} \boldsymbol{I} \boldsymbol{i}_{0}}} . \) Find \( \mathbf{x} \)
| 3 |
Physics
|
The coordinates of a particle moving in x-y plane at any instant of time t are \( x=4 t^{2} ; y=3 t^{2} . \) The speed of the
particle at that instant is :
A . 10
B. 5t
\( c \cdot 3 t \)
D. \( 2 t \)
E . \( \sqrt{13} t \)
| 3 |
Physics
|
Name the enzyme used in the inversion
of cane sugar.
| 1 |
Chemistry
|
The entropy \( \left(S^{o}\right) \) of the following
substances are:
\( \boldsymbol{C H}_{4}(\boldsymbol{g})=\mathbf{1 8 6 . 2} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{O}_{2}(\boldsymbol{g})=\mathbf{2 0 5 . 0} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})=\boldsymbol{2 1 3 . 6} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l})=\boldsymbol{6} \boldsymbol{9} . \boldsymbol{9} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m} \boldsymbol{o} \boldsymbol{l}^{-1} \)
The entropy change \( \left(\Delta S^{o}\right) \) for the
reaction \( \boldsymbol{C} \boldsymbol{H}_{4}(\boldsymbol{g})+\mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \)
\( \boldsymbol{C O}_{2}(\boldsymbol{g})+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \) is:
\begin{tabular}{l}
A. \( -312.5 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \) \\
\hline
\end{tabular}
в. \( -242.8 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
c. \( -108.1 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
D. \( -37.6 J K^{-1} m o l^{-1} \)
| 1 |
Chemistry
|
\( \pi^{o} \) meson is exchanged between:
A. proton and neutron
B. proton and proton
c. neutron and neutron
D. may be between two protons or two neutrons
| 1 |
Chemistry
|
Draw a linear pair of angles. Bisect each of the two angles.Verify that the two bisecting rays are perpendicular to each other.
| 2 |
Maths
|
A scooterist travels at \( 30 \mathrm{km} / \mathrm{h} \) along
straight path for 20 min. What is distance?
A . \( 1.5 \mathrm{km} \)
B. \( 6 \mathrm{km} \)
\( c \cdot 10 \mathrm{km} \)
D. 90 km
| 3 |
Physics
|
If \( \boldsymbol{m}=\mathbf{2}(\mathbf{1 5}-\mathbf{4} \boldsymbol{x}), \boldsymbol{n}=\frac{\mathbf{5} \boldsymbol{x}+\mathbf{3}}{\mathbf{2}} \) and
\( \boldsymbol{m}: \boldsymbol{n}=\boldsymbol{2}: \boldsymbol{3} ; \) find \( \boldsymbol{n} \)
\( \mathbf{A} \cdot n=2 \)
В . \( n=7 \)
c. \( n=9 \)
D. \( n=12 \)
| 2 |
Maths
|
Given balanced chemical equation for the action of sulphuric acid on each of the following:
(1) Potassium hydrogen carbonate.
(2) Sulphur.
| 1 |
Chemistry
|
Assertion: Material used in the
construction of a standard resistance is
constantan or manganin Reason : Temperature coefficients of constantan and Magnanin are very
small
A. Both (A) and (R) are true and
(R) is the correct explanation of (A)
B. Both (A) and (R) are true but (R) is not the correct explanation of \( (A) \)
c. (A) is true but (R) is false
D. (A) is false but (R) is true
| 3 |
Physics
|
If \( \hat{a}, \hat{b} \) and \( \hat{c} \) are unit vectors satisfying \( |\hat{\boldsymbol{a}}-\hat{\boldsymbol{b}}|^{2}+|\hat{\boldsymbol{b}}-\hat{\boldsymbol{c}}|^{2}+|\hat{\boldsymbol{c}}-\hat{\boldsymbol{a}}|^{2}=\mathbf{9}, \) then
\( |2 \hat{a}+5 \hat{b}+5 \hat{c}| \) is
\( A \cdot 3 \)
B. 4
c. 5
D. 6
| 2 |
Maths
|
Why liquid fuel is better than solid fuel?
A. It is cheaper than solid fuel
B. It can be extracted easily
c. It does not leave any solid residue
D. All of these
| 3 |
Physics
|
Differentiating electron in inner transition elements enters the
orbital.(s/p/d/f)
| 1 |
Chemistry
|
Which of the following is not an application of wind energy?
A. Removing husk from grains
B. Propelling sail boats in rivers and seas
c. windmills
D. Cyclones
| 3 |
Physics
|
Given below are the two reactions of
\( H_{2} O_{2} . \) Mark the correct statement which follows:
\( (\mathrm{i}) 2 \mathrm{K} M n O_{4}+3 \mathrm{H}_{2} \mathrm{SO}_{4}+5 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow \)
\( \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{2} \boldsymbol{M} \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{8} \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{5} \boldsymbol{O}_{2} \)
(ii) \( 2 C r(O H)_{3}+4 N a O H+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{2} \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{C r} \boldsymbol{O}_{4}+\boldsymbol{8} \boldsymbol{H}_{2} \boldsymbol{O} \)
A . (i) Shows oxidizing nature of \( H_{2} O_{2} \) and (ii) shows reducing nature of \( H_{2} O_{2} \)
B. \( \ln \left(\text { i) } H_{2} O_{2} \) acts as a reducing agent and in (ii) it acts \right. as an oxidizing agent
\( c \cdot \ln \operatorname{both}(i) \) and
(ii), \( H_{2} O_{2} \) acts as an oxidizing agent
D. In both (i) and
(i), \( H_{2} O_{2} \) acts as a reducing agent
| 1 |
Chemistry
|
When white light is incident on a prism,
which of the following ray will experience lesser deviation?
A. Black
B. Green
c. violet
D. Red
| 3 |
Physics
|
In the given figure, find the magnitude
and nature of zero error
| 3 |
Physics
|
What type of resource copper is?
A. Exhaustible
B. Non-exhaustible
C . Potential
D. National
| 1 |
Chemistry
|
Which of the following will exhibit
highest boiling point?
A. \( C H_{3} C H_{2} O C H_{2} C H_{3} \)
в. \( C H_{3} C H_{2} C H_{2} C H_{2} C H_{2} O H \)
c. \( C H_{3} C H_{2} C H_{2} C H\left(C H_{3}\right) O H \)
D. \( C H_{3} C H_{2} C\left(C H_{3}\right)_{2} O H \)
| 1 |
Chemistry
|
Which property is common between vinegar and curd?
A. Have sweet taste
B. Have bitter taste
c. Are tasteless.
D. Have sour taste
| 1 |
Chemistry
|
State whether True or False:
Bohr's model failed to explain atomic spectra of multi-electron atoms.
A. True
B. False
| 1 |
Chemistry
|
\( A B C \) is an isosceles triangle inscribed in a circle of radius \( r . \) If \( A B=A C \) and \( h \)
is the altitude from \( A \) to \( B C, \) then evaluate \( \lim _{h \rightarrow 0} \frac{\Delta}{P^{3}}, \) where \( \Delta \) is area of the triangle and \( P \) its perimeter.
A \( \cdot \frac{1}{128 r} \)
в. \( \frac{1}{64 r} \)
c. \( \frac{1}{32 r} \)
D. \( \frac{1}{256 r} \)
| 2 |
Maths
|
Find the areas of the triangles the whose coordinates of the points are respectively. (5,2),(-9,-3) and (-3,-5)
| 2 |
Maths
|
The positive terminal of \( 12 \mathrm{V} \) battery is connected to the ground. Then the negative terminal will be at :
A . - \( 6 v \)
B. +12 V
c. zero
D. -12 V
| 3 |
Physics
|
\( \lim _{x \rightarrow \frac{\pi}{2}} \frac{\tan 2 x}{x-\frac{\pi}{2}} \)
| 2 |
Maths
|
Energy spent in kilowatt-hour \( = \)
A. ampere, hour
B. ohm,min
c. ampere,min
D. joule,hour
| 1 |
Chemistry
|
The most ionic compound among the following is:
A . silica
B. aluminium fluoride
c. carborundum
D. aluminium chloride
| 1 |
Chemistry
|
Mark the correct statement the
magnitude of current induced in the
coil can be increased
A. by winding the coil on a soft iron core
B. by increasing the number of turns in the coil.
c. by increasing the strength of magnett
D. all
| 3 |
Physics
|
A stone is dropped from a rising balloon at a height of \( 300 \mathrm{m} \) above the ground and it reaches the ground in 10 s. The velocity of the balloon when the stone
was dropped is :
A \( \cdot 19 \mathrm{m} s^{-1} \)
B . \( 19.6 \mathrm{m} s^{-1} \)
c. \( 29 \mathrm{m} s^{-1} \)
D. o m \( s^{-1} \)
| 3 |
Physics
|
Benzene easily shows:
A. ring fission reactions since it is unstable.
B. addition reactions since it is unsaturated.
C. electrophilic substitution reactions due to stable ring and high \( \pi \) electron density.
D. nucleophilic substitution reactions due to stable ring and minimum electron density
| 1 |
Chemistry
|
Derive the condition of balance for
Wheatstone bridge.
| 3 |
Physics
|
The correct statement with respect to
CO is:
A. It combines with \( H_{2} O \)
to give carbonic acid
B. It reacts with hemoglobin in RBC
C. It is a powerful oxidizing agent
D. It is used to prepare aerated drinks
| 1 |
Chemistry
|
Which of the following quantities do not change when a resistor connected to a battery is heated due to the current?
A. Drift speed
B. Resistivity
c. Resistance
D. Number of free electrons
| 3 |
Physics
|
The term refraction of light is best
described by:
A. The bending of light rays when they enter from one medium to another medium
B. Splitting of white light into seven colours when it passes through the prism
C. Bending of light round corners of obstacles and
apertures
D. Coming back of light from a bright smooth surface
| 3 |
Physics
|
If \( \mathbf{S} \) and \( \mathbf{S}^{\prime} \) are the foci and \( \mathbf{B} \) is an
endpoint of the minor axis of an ellipse. If \( \angle S B S^{\prime}=120^{\circ} \) then its eccentricity
is:
A \( \cdot \frac{\sqrt{5}}{2} \)
B. \( \frac{\sqrt{3}}{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D. \( \frac{1}{\sqrt{3}} \)
| 2 |
Maths
|
Three concentric conducting spherical
shells of radii \( \boldsymbol{R}, 2 \boldsymbol{R} \) and \( \boldsymbol{3} \boldsymbol{R} \) carry
charges \( Q,-2 Q \) and \( 3 Q, \) respectively
Find the electric potential at \( r=R \) and
\( \boldsymbol{r}=\boldsymbol{3} \boldsymbol{R}, \) where \( \boldsymbol{r} \) is the radial distance
from the centre
\( ^{\mathrm{A}} \cdot \frac{Q}{6 \pi \varepsilon_{0} R}, \frac{Q}{4 \pi \varepsilon_{0} R} \)
в. \( \frac{Q}{4 \pi \varepsilon_{0} R}, \frac{Q}{6 \pi \varepsilon_{0} R} \)
c. \( \frac{Q}{2 \pi \varepsilon_{0} R}, \frac{Q}{3 \pi \varepsilon_{0} R} \)
D. \( \frac{Q}{3 \pi \varepsilon_{0} R}, \frac{Q}{2 \pi \varepsilon_{0} R} \)
| 3 |
Physics
|
As the alkaline earth metals (except Be) tend to lose their valence electrons
readily they act as:
A. weak oxidising agent
B. weak reducing agent
C. strong oxidising agent
D. strong reducing agent
| 1 |
Chemistry
|
Consider the following statements and arrange in the order of true/false as given in the codes. \( S_{1}: \) Long form of periodic table completely helps in predicting the
oxidation state of elements.
\( S_{2}: \) Metallic and covalent radii of potassium are 203 pm and 230 pm respectively.
\( \boldsymbol{S}_{3}: \) Formation of \( \boldsymbol{S} \boldsymbol{e}^{2-} \) and \( \boldsymbol{A} \boldsymbol{r}^{-}, \) both
the absorption of energy.
A . FFT
в. गाग
c. \( \pi \mathrm{F} \)
D. TFT
| 1 |
Chemistry
|
Using the identity \( a^{2}-b^{2}= \)
\( (a+b)(a-b) \) solve \( \left(7 \frac{3}{4}\right)^{2}-\left(2 \frac{1}{4}\right)^{2} \)
| 2 |
Maths
|
A resistor of resistance \( 100 \Omega \) is
connected to an AC source \( \epsilon= \)
\( (12 V) \sin \left(250 \pi s^{-1}\right) t \)
Find the power consumed by the bulb.
| 3 |
Physics
|
Which of the following is not correct?
A \( . D(-) \) Fructose exists in furanose structure.
B. \( D(+) \) Glucose exists in pyranose structure.
C. In sucrose, the two monosaccharides are held together by peptide linkage.
D. Maltose is a reducing sugar.
| 1 |
Chemistry
|
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