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Two coherent waves are described by
the expressions \( E_{1}=E_{0} \sin \left(\frac{2 \pi x_{1}}{\lambda}-2 \pi f t+\frac{\pi}{6}\right) \)
\( E_{2}=E_{0} \sin \left(\frac{2 \pi x_{2}}{\lambda}-2 \pi f t+\frac{\pi}{8}\right) \)
Determine the relationship between \( \boldsymbol{x}_{1} \)
and \( x_{2} \) that produces constructive
interference when the two waves are
superposed
| 3 |
Physics
|
Find the horizontal velocity of the
particle when it reach the point \( Q \) Assume the block to the frictionless.
take \( \boldsymbol{g}=\mathbf{9 . 8 m} / \boldsymbol{s}^{2} \)
A \( \cdot v=3.13 \frac{m}{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( \sqrt{g} \mathrm{m} / \mathrm{s} \)
D. \( 3.6 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
The difference between a rectangle and
a cube is
A. Rectangle is B-dimensional and cube is 2 dimensional.
B. Rectangle and cube are both 2-dimensional
C. Rectangle is 2-dimensional and cube is 3dimensional.
D. None of these
| 2 |
Maths
|
A coil of area \( 500 \mathrm{cm}^{2} \) having 1000 turns
is placed such that the plane of the coil is perpendicular to a magnetic field of magnitude \( 410^{-5} \)weber \( / m^{2} \). If it is
rotated by 180 degree about an axis passing through one of its diameter in
\( 0.1 \mathrm{sec}, \) find the average induced emf.
A. zero
в. \( 30 m V \)
\( \mathrm{c} .40 \mathrm{mV} \)
\( \mathbf{D} .50 \mathrm{mV} \)
| 3 |
Physics
|
The delay in transmission from the
dorsal to the ventral root across the
spinal cord for the reflex pathways' \( A \) ', B', 'D' and 'C' respectively is 0.5 ms,1.0 \( \mathrm{ms}, 1.5 \mathrm{ms}, \) and \( 2.0 \mathrm{ms} \). Identify the correct option: (Average synaptic delay \( =0.5 \mathrm{ms} \)
A. A=monosynaptic, B=bisynaptic, C=trisynaptic
B. A=monosynaptic, B= trisynaptic, D=bisynaptic
c. A=monosynaptic, C=trisynap tic, D=quadrisynaptic
D. A=monosynaptic, D=trisynaptic, C=quadrisynaptic
| 0 |
Biology
|
The surface of water in contact with
glass wall is
A . Plane
B. concave
c. convex
D. Both b and c
| 3 |
Physics
|
What is the minimum pH of a solution
\( 0.10 M \) in \( M g^{2+} \) from which \( M g(O H)_{2} \)
will not precipitate? \( \boldsymbol{K}_{s p} \boldsymbol{M} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2}= \)
\( \mathbf{1} . \mathbf{2} \times \mathbf{1 0}^{-\mathbf{1 1}} \mathbf{M}^{\mathbf{3}} \)
| 1 |
Chemistry
|
Let \( f(x) \) be differentiable on the interval
\( (0, \infty) \) such that \( f(1)=1, \) and \( \lim _{t \rightarrow x} \frac{t^{2} f(x)-x^{2} f(t)}{t-x}=1 \) for \( \operatorname{each} x>0 \)
Then \( f(x) \) is
A \( \frac{1}{3 x}+\frac{2 x^{2}}{3} \)
в. \( -\frac{1}{3 x}+\frac{4 x^{2}}{3} \)
c. \( -\frac{1}{x}+\frac{2}{x^{2}} \)
D.
| 2 |
Maths
|
If \( \operatorname{Re}(a), \operatorname{Re}(b)>0, \) and \( x=|a-b| \)
\( |\bar{a}+b|, \) then
\( \mathbf{A} \cdot x<0 \)
B . \( x>0 \)
c. \( x \geq 1 \)
D.
| 2 |
Maths
|
If the polynomial \( \left(x^{3}-3 x^{2}+a x+18\right) \)
is divided by \( (x-4), \) the reminder is 58
Find the value of a.
| 2 |
Maths
|
When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increase the internal energy of gas is?
\( A \cdot \frac{2}{5} \)
B.
\( c \cdot \frac{3}{7} \)
\( D \cdot \frac{5}{7} \)
| 3 |
Physics
|
The propagation constant of wave is also called its
A. wavelength
B. frequency
c. wave number
D. angular wave number
| 3 |
Physics
|
Given that \( \bar{X} \) is the mean and \( \sigma^{2} \) is the
variance of \( n \) observations \( X_{1}, X_{2} \dots X_{n} \)
Prove that the mean and variance of the
observations \( a X_{1}, a X_{2}, a X_{3} \ldots a X_{n} \) are
\( a^{-} x \) and \( a^{2} \sigma^{2} \) respectively \( (a \neq 0) \)
| 2 |
Maths
|
The sum of the acute angles of an
obtuse triangle is \( 70^{\circ} \) and their
difference is \( 10^{\circ} . \) The largest angle is:
A \( \cdot 110^{\circ} \)
B. 105
\( c \cdot 100^{\circ} \)
D. \( 95^{\circ} \)
| 2 |
Maths
|
Indicate to what extent the following will conduct electricity and given the mechanism of conduction in each case:
NaCl (aqueous solution)
| 1 |
Chemistry
|
Electric charge is measured in
A . coulombs
B. amperes
c. volts
D. watts
| 3 |
Physics
|
If \( i_{1}=3 \sin \omega t \) and \( i_{2}=4 \cos \omega t, \) then \( i_{3} \)
is
\( \mathbf{A} \cdot 5 \sin \left(\omega t+53^{\circ}\right) \)
\( \mathbf{B} \cdot 5 \sin \left(\omega t+37^{\circ}\right) \)
\( \mathbf{c} \cdot 5 \sin \left(\omega t+45^{\circ}\right) \)
\( \mathbf{D} \cdot 5 \cos \left(\omega t+53^{\circ}\right. \)
| 3 |
Physics
|
The largest and the shortest distance of
the earth from the sun is \( r_{1} \) and \( r_{2} \). Its
distance from the sun when it is at
perpendicular to the major axis of the orbit drawn from the sun:
\( \mathbf{A} \cdot\left(r_{1}+r_{2}\right) / 4 \)
B . \( \left(r_{1}+r_{2}\right) /\left(r_{1}-r_{2}\right) \)
\( \mathbf{c} \cdot 2 r_{1} r_{2} /\left(r_{1}+r_{2}\right) \)
D. \( \left(r_{1}+r_{2}\right) / 3 \)
| 3 |
Physics
|
Which of the following metals is not extracted by leaching?
A. Aluminium
B. Mercury
c. silver
D. Gold
| 1 |
Chemistry
|
Transition elements does not show:
A. paramagnetism
B. colour
c. fixed valency
D. all of these
| 1 |
Chemistry
|
\( \mathbf{A} \)
\( 3 \Omega \) resistor as shown in fig is dipped
in to a calorimeter containing \( \boldsymbol{H}_{2} \boldsymbol{O} \). the
thermal capacity of \( H_{2} O+ \) calorimeter is 2000 J/K. If the circuit is active for 15
minutes find the rise in temperature of
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
A \( \cdot 2.4^{\circ} \mathrm{C} \)
В. \( 2.9^{\circ} \mathrm{C} \)
\( c \cdot 3.4^{\circ} C \)
D. \( 1.9^{\circ} \mathrm{C} \)
| 3 |
Physics
|
Find the minimum value of a, such that
function \( f(x)=x^{2}+a x+5, \) is
increasing in interval [1,2]
| 2 |
Maths
|
\( 50 \mathrm{ml} \) of \( 0.2 \mathrm{M} \) solution of a compound
with empirical formula \( \boldsymbol{C o C l}_{3} \cdot \boldsymbol{4} \boldsymbol{N} \boldsymbol{H}_{3} \)
on treatment with excess of
\( A g N O_{3}(a q) \) yields 1.435 g of \( A g C l \)
(white ppt).
Ammonia is not removed by treatment
with concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \mathbf{0}_{\mathbf{4}} \)
The formula of the compound is:
\( \mathbf{A} \cdot \operatorname{Co}\left(N H_{3}\right)_{4} C l_{3} \)
B. \( \left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{2}\right] C l \)
\( \mathbf{c} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{4} C l_{3}\right. \)
D. \( \left[\operatorname{CoCl}_{3}\left(N H_{3}\right)\right] N H_{3} \)
| 1 |
Chemistry
|
How many sides does a regular polygon have if the measure of an exterior angle
is \( 24^{0} ? \)
A . 14
B. 13
c. 15
D. 18
| 2 |
Maths
|
Which of the statements given below is
incorrect?
A. \( O N F \) is isoelectronic with \( O_{2} N^{-} \)
B. \( O F_{2} \) is an oxide of fluorine
c. \( C l_{2} O_{7} \) is an anhydride of perchloric acid
\( \mathrm{D} \cdot O_{3} \) molecule is bent
| 1 |
Chemistry
|
When Halogens are treated with hot and conc. alkalis,major products formed
are:
This question has multiple correct options
A. Hypohalite
B. Halite
c. Halate
D. Halide
| 1 |
Chemistry
|
Psilophytes, lycophytes, horsetails, and
ferns are plants
A. Multicellular aquatic
B. Seedless vascular
c. Diploid dominant
D. Seed bearing vascular
| 0 |
Biology
|
Which one of the following is mismatched?
A . Fossil fuel burning- Release of \( C O_{2} \)
B. Nuclear power- Radioactive wastes
c. Solar energy- Green house effect
D. Biomass burning- Release of \( C O_{2} \)
| 0 |
Biology
|
If \( A=\{1,2,3\} B=\{4,5\}, \) then find \( A-B \)
\( A \cdot\{1,4,5\} \)
B. \{1,4,3\}
\( c \cdot\{1,2,3\} \)
\( D \cdot\{4,5\} \)
| 2 |
Maths
|
Itd - matic
major product is
\( A \)
\( B \)
\( c \)
D.
| 1 |
Chemistry
|
Two samples \( A \) and \( B \) of a gas initially at the same pressure and temperature are compressed from volume \( V \) to \( \frac{V}{2}(A \) isothermally and \( B \) adiabatically). The
final pressure of \( \boldsymbol{A} \) is
A. greater than the final pressure of \( B \)
B. equal to the final pressure of \( B \)
c. less than the final pressure of \( B \)
D. twice the final pressure of \( B \)
| 3 |
Physics
|
Two isolated, charged conducting spheres of radii a and b produce the same electric field near their surfaces.
The ratio of electric potentials on their
surfaces is :
A \( \cdot \frac{a}{b} \)
B. \( \frac{b}{a} \)
c. \( \frac{a^{2}}{b^{2}} \)
D. \( \frac{b^{2}}{a^{2}} \)
| 3 |
Physics
|
How many meninges are there to protect the brain?
A. one
B. Two
c. Three
D. Four
| 0 |
Biology
|
Electromotive Force (EMF) may be
defined as:
A. work done per coulomb on the charge.
B. drift velocity of electrons
c. flow of electron.
D. the number of coulombs of charge per second
| 3 |
Physics
|
\( \forall n \in N ; x^{2 n-1}+y^{2 n-1} \) is divisible by?
A. \( x-y \)
B. \( x+y \)
c. \( x y \)
D. \( x^{2}+y^{2} \)
| 2 |
Maths
|
Which number is represented by \( A \), in the following number line?
A . 13
в. \( \frac{6}{13} \)
c. 6
D. \( \frac{0}{13} \)
| 2 |
Maths
|
In positive logic, the logic state 1
corresponds to
A. positive voltage
B. zero voltage
c. lower voltage level
D. higher voltage leve
| 3 |
Physics
|
Contrapositive of the statement "if two number are not equal then their square are not equal is ;
A. If the squares of two number are equal, then the number are not equal
B. If the squares of two number are equal, then the number are equal
C. If the square of two number are not equal then number are equal
D. If the square of two number are not, equal, then the number are not equal
| 2 |
Maths
|
The cell constant of a given cell is \( 0.47 \mathrm{cm}^{-1} . \) The resistance of a solution
placed in this cell is measured to be
31.6 ohm. The conductivity of the
solution \( \left(\text { in } S c m^{-1} \text {where } S \) has usual \right.
meaning) is :
A . 0.15
в. 1.5
c. 0.015
D. 150
| 1 |
Chemistry
|
(a) Draw the circuit diagram for
studying the characteristics of a
transistor in common emitter
configuration. Explain briefly and show how input and output characteristics are drawn.
(b) The figure shows input waveform \( A \)
and \( \mathrm{B} \) to a logic. Draw the output
waveform for an OR gate. Write the truth
table for this logic gate and draw its logic symbol.
| 3 |
Physics
|
It is commonly believed that only roots develop below the ground. How would you prove that potato tuber is a stem
and not a root?
| 0 |
Biology
|
Give the IUPAC names for the given
compound
| 1 |
Chemistry
|
\( 100 m l 0.1 M H_{2} O_{2} \) is mixed with
\( 400 m l 0.5 M H_{2} O_{2} . \) The volume of
\( 0.1 M K M n O_{4}(\text { acidic }) \) required to
react with \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) mixture is :
A. \( 840 \mathrm{ml} \)
B. 420 m1
\( c .630 \mathrm{ml} \)
D. None of these
| 1 |
Chemistry
|
In a tug-of-war contest, two men pull on a horizontal rope from opposite sides. The winner will be the man who:
A. exerts greater force on the rope
B. exerts greater force on the ground
c. exerts a force on the rope which is greater than the tension of the rope
D. makes a smaller angle with the vertical
| 3 |
Physics
|
A ray of light travels from air into a perspex block of refractive index 1.5 at
an angle of incidence of \( 45^{0} \). Calculate
the angle of the refraction of the ray at air-to perspex boundary and at perpexto-air boundary
A \( \cdot 28^{0} 7^{\prime} \)
B . \( 25^{0} 87^{\prime} \)
\( \mathbf{c} \cdot 25^{0} \eta^{\prime} \)
D. \( 28^{0} 27^{\prime} \)
| 3 |
Physics
|
Radioactive thymidine is fed to cells about to enter S-phase. It will make
radioactive
A. Euchromatin
B. Heterochromatin
c. Both A and B
D. Neither euchromatin nor heterochromatin
| 0 |
Biology
|
The \( V-t \) graph is shown in the figure for
particle the \( (V m / s) \) acceleration of
particle is
A \( \cdot 22.5 m / s^{2} \)
B. \( 5 m / s^{2} \)
\( \mathbf{C} \cdot-5 m / s^{2} \)
\( \mathbf{D} \cdot-3 m / s^{2} \)
| 3 |
Physics
|
What is cell division? Write two types of cell division?
| 0 |
Biology
|
What can you as an individual do to reduce your consumption of the various
natural resources?
| 0 |
Biology
|
Which of the following is not a factor in determining rate of photosynthesis?
A. \( \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6} \)
B. \( \mathrm{cO}_{2} \)
c. ATP
D. Light
| 0 |
Biology
|
Point out incorrect stability order.
\( \mathbf{A} \cdot\left[C u\left(N H_{3}\right)_{4}\right]^{2+}<\left[C u(e n)_{2}\right]^{2+}<[C u(\text {trien})]^{2+} \)
\( ^{\mathbf{B}} \cdot\left[F e\left(H_{2} O\right)_{6}\right]^{3+}<\left[F e\left(N O_{2}\right)_{6}\right]^{3-}<\left[F e\left(N H_{3}\right)_{6}\right]^{3+} \)
\( ^{\mathbf{C}} \cdot\left[\operatorname{Co}\left(H_{2} O\right)_{6}\right]^{3+}<\left[R h\left(H_{2} O\right)_{6}\right]^{3+}<\left[\operatorname{Ir}\left(H_{2} O\right)_{6}\right]^{3+} \)
\( ^{\mathrm{D}} \cdot\left[C r\left(N H_{3}\right)_{6}\right]^{+}<\left[C r\left(N H_{3}\right)_{6}\right]^{2+}<\left[C r\left(N H_{3}\right)_{6}\right]^{3+} \)
| 1 |
Chemistry
|
What is the role of father in child
development?
| 0 |
Biology
|
What do global problems mean? Which are the global problems that organisms are facing today?
| 0 |
Biology
|
The current voltage graph for a given
metallic wire at two
different temperatures \( T_{1} \) and \( T_{2} \) are
shown in given figure, which of the relation is correct from the following?
A \( \cdot T_{2}>T_{1} \)
в. \( T_{1}>T_{2} \)
c. \( T_{1}=T_{2} \)
D. none of these
| 3 |
Physics
|
Catalytic converters, which are fitted into automobiles for reducing the emission of poisonous gases possess which of the following metals as catalyst?
A. Platinum-Palladium
B. Rhodium
c. Lead
D. Both (a) and (b)
| 0 |
Biology
|
An ecosystem contains
This question has multiple correct options
A. Producers
B. Decomposers
c. Lentic
D. Xeric
| 0 |
Biology
|
Assertion (A): Corpuscular theory fails in explaining the velocity of light in air
to water.
Reason (R) : According to corpuscular theory, light should travel faster in denser media than in rarer media.
A. A and R are true R is correct explanation for A
B. A and R are true R is not correct explanation for A
c. A is true but R is false
D. A is false but R is true
| 3 |
Physics
|
What is an expression for the force due to gravity on a body of mass \( m \) ?
\( \mathbf{A} \cdot F=0 \)
В. \( F=m / g \)
c. \( F=g \)
D. \( F=m g \)
| 3 |
Physics
|
If the road of the previous problem is horizontal (no banking), what should be the minimum friction coefficient so
that a scooter going at \( 18 \mathrm{km} / \mathrm{h} \) does not
skid?
A . 0.15
B. 0.2
\( c .0 .25 \)
D. 0.5
| 3 |
Physics
|
Which of the statements are true about
the law of chemical combination?
This question has multiple correct options
A. Potassium combines with two isotopes of chlorine \( \left.^{35} C l \text { and }^{37} C l\right) \) to form two samples of \( K C l . \) Their
formation follows the law of definite composition.
B. Different proportions of oxygen in the various oxides of sulphur proves the law of multiple proportions.
\( \mathrm{C} \cdot H_{2} \mathrm{O} \) and \( \mathrm{H}_{2} S \) contain \( 11.11 \% \) hydrogen and \( 5.88 \% \) hydrogen respectively whereas \( S O_{2} \) contains \( 50 \% \) sulphur. The above data prove the law of reciprocal proportions.
D. In the decomposition of \( N H_{3}\left(2 N H_{3} \stackrel{\Delta}{\longrightarrow} N_{2}+3 H_{2}\right) \)
the ratio of volumes of \( N H_{3}, N_{2} \) and \( H_{2} \) is \( 2: 1: 3 . \) The above data proves the Gay Lussac's law.
| 1 |
Chemistry
|
\( \int \frac{\boldsymbol{a}^{\boldsymbol{x}}}{\sqrt{\mathbf{1}-\boldsymbol{a}^{2 \boldsymbol{x}}}} \boldsymbol{d} \boldsymbol{x}= \)
A \( \cdot \frac{1}{\log a} \sin ^{-1}\left(a^{x}\right)+c \)
B. \( \frac{1}{\log a} \sinh \left(a^{x}\right)+c \)
c. \( \sin ^{-1}\left(a^{x}\right)+c \)
D. \( \log a \sin ^{-1}\left(a^{x}\right)+c \)
| 2 |
Maths
|
If \( \boldsymbol{A}=\left(\begin{array}{c}\cos \boldsymbol{\alpha} \sin \boldsymbol{\alpha} \\ -\sin \alpha \cos \boldsymbol{\alpha}\end{array}\right), \) find \( \boldsymbol{\alpha} \)
satisfying \( 0<\alpha<\frac{\pi}{2} \) when \( A+A^{T}= \)
\( \sqrt{2} I_{2} ; \) where \( A^{T} \) is transpose of \( A \)
| 2 |
Maths
|
In the event of global warming, which one of the following is most likely to
occur?
A. Existing plant and animal communities will move North in response to warming.
B. Agriculture in the prairie provinces will be redeveloped on soils of the Canadian Shield
c. The anticipated rise in sea level will be caused primarily by the melting of polar ice caps
D. The decomposition of organic matter in the unfrozen surface layer of polar soils will increase
| 0 |
Biology
|
What is the slope of the line parallel to the equation \( 2 y-3 x=4 ? \)
\( A \cdot \frac{3}{2} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{4}{2} \)
D. \( \frac{-3}{2} \)
| 2 |
Maths
|
What is the base of all matter?
A. Compound
B. Mixture
C . Element
D. None of above
| 1 |
Chemistry
|
Identify the order of matrix \( \left[\begin{array}{ccc}1 & 0 & -4 \\ 2 & -1 & 3\end{array}\right] \)
| 2 |
Maths
|
Proton's relative charge is :
A . -1
B. +1
c. 0
D. -
| 1 |
Chemistry
|
Silver articles become black on
prolonged exposure to air. This is due to the formation of:
A. \( A g_{3} N \)
в. \( A g_{2} O \)
c. \( A g_{2} S \)
D. \( A g_{2} S \) and \( A g_{3} N \)
| 1 |
Chemistry
|
The compounds \( (C) \) and \( (D) \)
respectively are:
\( \mathbf{A} \cdot E t N H_{2} \) and \( \operatorname{Pr} C H=O \)
B. \( E t-N H- \)Pr and \( H C O O H \)
\( \mathbf{C} \cdot \operatorname{Pr} N H_{2} \) and \( E t C H=O \)
D. \( E t N H_{2} \) and \( \operatorname{Pr} C H_{2} O H \)
| 1 |
Chemistry
|
A light particle moving horizontally with a speed of \( 12 \mathrm{m} / \mathrm{s} \) strikes a very heavy block moving in the same direction at \( 10 \mathrm{m} / \mathrm{s} . \) The collision, the particle will
| 3 |
Physics
|
The dissociation constants of two acids
\( \boldsymbol{H} \boldsymbol{A}_{1} \) and \( \boldsymbol{H} \boldsymbol{A}_{2} \) are \( \boldsymbol{3} . \boldsymbol{0} \times 10^{-4} \) and
\( 1.8 \times 10^{-5} \) respectively. The relative
strengths of the acids will be:
A .1: 4
в. 4: 1
c. 1: 16
D. 16: 1
| 1 |
Chemistry
|
Assertion: A raindrop after falling through some height attains a constant
velocity
Reason: At constant velocity, the
viscous drag is equal to its weight.
A. Both assertion and reason are true and reason is correct explanation of assertion
B. Both assertion and reason are true but reason is not the correct explanation of assertion.
c. Assertion is true but reason is false.
D. Both assertion and reason are false
| 3 |
Physics
|
Large increase in absorption of UV-
radiation of \( 260 \mathrm{nm} \) by melted DNA duplex is called
A. Gaidukov phenomenon
B. Position effect
c. DNA compaction
D. Hyperchromic effect
| 1 |
Chemistry
|
Iron
(III) oxide is a chemical compound found in haemtitie, an iron ore. Give the formulae of all the irons in iron
(III) oxide.
| 1 |
Chemistry
|
\( \begin{array}{ll}\text { Column } A & \text { Column B } \\ \text { a) Force } & \text { i) } f \times t \\ \text { b) Momentum } & \text { ii) } m \times a \\ \text { c) Impulse } & \text { iii) } m \times v\end{array} \)
\( \mathbf{A} \cdot a-i i i, b-i i, c-i \)
B . \( a-i i, b-i i i, c-i \)
c. \( a-i, b-i i, c-i i i \)
D. \( a-i i i, b-i, c-i i \)
| 3 |
Physics
|
A compound with molecular formula
\( C_{8} H_{18} O_{4} \) does not give litmus test and
does not give colour with \( 2,4- \) DNP. It
reacts with excess \( M e C \) OCl to give a compound whose vapour density is 152 Compound \( A \) contains how many
hydroxy groups?
A . 1
B. 2
\( c .3 \)
D. 4
| 1 |
Chemistry
|
Deficiency of which vitamin causes the disease "Rickets".
| 1 |
Chemistry
|
The cost of a pair of roller skates at a shop was Rs. \( 450 . \) The sales tax charged was \( 5 \% . \) Find the bill amount.
| 2 |
Maths
|
Pieces of copper, silver and gold are dropped into a solution of iron sulphate. The piece that will get a coating of
copper is:
\( A \). iron
B. silver
c. gold
D. None of them
| 1 |
Chemistry
|
Here is an incomplete net for making a cube. Complete it in at least two
different ways. Remember that a cube
has six faces. How many faces are there in the net here?(Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)
| 2 |
Maths
|
For a first order radio-active decay, the
half-life period is:
A. dependent on the square of the initial concentration
B. dependent on first power of initial concentration
C. dependent on the square root of initial concentration
D. independent on initial concentration
| 3 |
Physics
|
A particle experience a constant acceleration for 20 sec. after starting
from rest, it travels adistance \( s_{1} \) in first
\( 10 \sec \) and a distance \( s_{2} \) in next 10 sec
then
A \( \cdot s_{2}=s_{1} \)
В. \( s_{2}=2 s_{1} \)
\( \mathbf{c} \cdot s_{2}=3 s_{1} \)
D. \( s_{2}=0.5 s_{1} \)
| 3 |
Physics
|
State true or false:
\( x^{2}-5 x+6 \) cannot be written as a
product of two linear factors.
A . True
B. False
| 2 |
Maths
|
Molten \( A l C l_{3} \) is electrolysed with a
current of 0.5 ampere to produce 27 g
Al. How many g-atom of \( A l \) are formed?
| 1 |
Chemistry
|
The function \( f(x)=\sqrt{3} \cos x+\sin x \)
has an amplitude of
A . 1.37
в. 1.73
\( c \cdot 2 \)
D. 2.73
E . 3.46
| 2 |
Maths
|
Find the area of the greatest of
isosceles triangle that can be inscribed
in a given ellipse having its vertex coincide with one end of major axes?
| 2 |
Maths
|
The product of \( 4 \sqrt{6} \) and \( 3 \sqrt{24} \) is?
A .124
B. 134
\( c \cdot 144 \)
D. 154
| 2 |
Maths
|
Which of the following is the correct increasing order of boiling point of the following compounds?
I) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{O H} \)
II) \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{3} \)
\( \boldsymbol{O} \boldsymbol{H} \)
III) \( \boldsymbol{C H}_{3}-\boldsymbol{O}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
\( \mathbf{A} \cdot l l<l<l l l \)
в. \( \| l<l l<l \)
c. \( l<l l<l l l \)
D. \( l l<l l l<l \)
| 1 |
Chemistry
|
A hollow charged conductor has a tiny hole cut into its surface. Show that the
electric field in the hole is \( \left(\sigma / 2 \epsilon_{0}\right) \hat{n} \)
where \( \hat{\boldsymbol{n}} \) is the unit vector in the
outward normal direction, and \( \sigma \) is the
surface charge density near the hole.
| 3 |
Physics
|
In a triangle \( A B C, \angle A-\angle B=30^{\circ} \) and \( \angle A \)
\( \angle C=42^{\circ} ; \) find angle \( A \)
A \( \cdot A=84^{\circ} \)
B \( \cdot A=64 \)
C \( \cdot A=95 \)
D. \( A=92^{\circ} \)
| 2 |
Maths
|
Which GA was first gibberellin to be
discovered?
A \( . G A_{1} \)
в. \( G A_{2} \)
\( \mathrm{c} \cdot G A_{3} \)
D. \( G A_{4} \)
| 0 |
Biology
|
\( \mathbf{A} \)
\( 4.5 \mathrm{cm} \) needle is placed \( 12 \mathrm{cm} \) away from a convex mirror of focal length
15 \( c m . \) Give the location of the image
and the magnification. Describe what happens as the needle is moved farther
from the mirror.
| 3 |
Physics
|
A man of 60 kg gets 1000 cal of heat by eating 5 mangoes. His efficiency is \( 28 \% \) To what height he canjump by using this energy
A. 2 m
B. 20m
\( c .28 m \)
D. \( 0.2 \mathrm{m} \)
| 3 |
Physics
|
The amount of oxygen required to oxidise organic substances present in water is called:
A. Dissolved oxygen (DO)
B. Chemical oxygen demand (COD)
c. Biochemical oxygen demand (BOD)
D. The threshold limit value (TLV)
| 1 |
Chemistry
|
Which of the following is a reducing sugar?
A. Galactose
B. Gluconic acid
c. \( \beta \) -methyl galactoside
D. sucrose
| 1 |
Chemistry
|
The osmotic pressure of urea solution
at \( 10^{\circ} \mathrm{C} \) is \( 200 \mathrm{mm} \) becomes \( 105.3 \mathrm{mm} \)
when it is diluted and the temperature
raised to \( 25^{\circ} \mathrm{C} \). The extent of dilution is:
A. 8 times
B. 5 times
c. 4 times
D. 2 times
| 1 |
Chemistry
|
A body of mass \( 0.1 k g \) is moving with a velocity of \( 15 m / s . \) The momentum associated with the ball will be
A. \( 0.5 k g m / s \)
в. \( 1.5 k g m / s \)
c. \( 2.5 k g m / s \)
D. 3.2Ns
| 3 |
Physics
|
The cube as shown in Fig. has sides of length \( L=10.0 \mathrm{cm} . \) The electric field is
uniform, has a magnitude \( \boldsymbol{E}=\mathbf{4 . 0 0} \times \)
\( 10^{3} N C^{-1}, \) and is parallel to the \( x y- \)
plane at an angle of \( 37^{\circ} \) measured from
the \( +x-a x i s \) towards the \( +y-a x i s \)
Electric flux passing through surface \( \boldsymbol{S}_{6} \)
is
A \( \cdot 24 N m^{2} C^{-1} \)
B. \( -24 N m^{2} C^{-1} \)
\( \mathbf{c} \cdot 32 N m^{2} C^{-1} \)
D. \( -32 N m^{2} C^{-1} \)
| 3 |
Physics
|
Calculate the mode of the frequency distribution
Mark \( \quad \begin{array}{ll}\text { Above } & \text { Above } \\ \mathbf{2 5} & \mathbf{3 5}\end{array} \quad \begin{array}{l}\text { Above } \\ \mathbf{4 5}\end{array} \)
No. of
students
49
42
| 2 |
Maths
|
The value of \( 3 \int_{0}^{\pi / 2} \sqrt{\cos x-\cos ^{3} x} d x \)
is
| 2 |
Maths
|
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