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|---|---|---|
If \( y=\left(5 x^{3}-4 x^{2}-8 x\right)^{9}, \) find \( \frac{d y}{d x} \)
| 2 |
Maths
|
The probability of getting number 10 in a throw of a dice is
A. 0
B.
\( c \cdot 0.5 \)
D. 0.75
| 2 |
Maths
|
Which of these statements is true for
the following molecule?
A. The bromine and methyl group are cis to one another
B. The bromine and methyl group are trans to one another
c. The bromine and methyl group are both axial
D. The bromine and methyl group are both equatorial
| 1 |
Chemistry
|
Calculate \( \Delta S_{r}^{o} \) at \( 298 K \) of
(a) \( N a(s)+\frac{1}{2} C l_{2}(g) \rightarrow N a C l(s) \)
\( \frac{1}{2} N_{2}(g)+2 H_{2}(g)+\frac{1}{2} C l_{2}(g) \rightarrow \)
\( N H_{4} C l(s) \)
(iii) \( C(\text { graphite }) \rightarrow C \) (Diamond)
The values of \( S^{o} \) of
\( N a, C l_{2}, N a C l, N H_{4} C l, N_{2}, H_{2} \)
diamond and graphite are
\( \mathbf{5 1}, \mathbf{2 2 3}, \mathbf{7 2}, \mathbf{9 5}, \mathbf{1 9 2}, \mathbf{1 3 1}, \mathbf{2 . 4 3}, \mathbf{5}, \mathbf{6 9} \mathbf{J K} \)
and \( m o l^{-1} \) respectively:
| 1 |
Chemistry
|
A \( 120 \mathrm{V}, 60 \mathrm{W} \) lamp is to be operated on 220 \( \mathrm{V}, 50 \mathrm{Hz} \) supply mains Calculate what value of pure inductance which
would be required so that the lamp runs on correct value of power
A \( \cdot 1.174 \)
B. 2.348
c. 3.522
D. 4.696
| 3 |
Physics
|
Solve \( \int(2 x+3)^{2} d x \)
| 2 |
Maths
|
If \( \boldsymbol{f}(\boldsymbol{y})=\boldsymbol{e}^{\boldsymbol{y}}, \boldsymbol{g}(\boldsymbol{y})=\boldsymbol{y} ; \boldsymbol{y}>\mathbf{0} \) and
\( \boldsymbol{F}(\boldsymbol{t})=\int_{0}^{t} \boldsymbol{f}(\boldsymbol{t}-\boldsymbol{y}) \boldsymbol{g}(\boldsymbol{y}) \boldsymbol{d} \boldsymbol{y}, \) then which
of the following is true?
A \( \cdot F(t)=e^{t}-(1+t) \)
B \( \cdot F(t)=t e^{t} \)
c. \( F(t)=t e^{-t} \)
D. \( F(t)=1-e^{-t}(1+t) \)
| 2 |
Maths
|
A triangle \( A B C \) in which DE \( \| B C \), and
intersects \( A B \) in \( D \) and \( A C \) in \( E \)
Hence, \( \frac{A B}{D B}=\frac{A C}{E C} \)
A. True
B. False
| 2 |
Maths
|
The glancing angle of incidence is \( 10^{\circ} \) What will be the glancing angle of reflection?
A \( \cdot 10^{\circ} \)
в. \( 80^{\circ} \)
c. \( 170^{\circ} \)
D. \( 60^{\circ} \)
| 3 |
Physics
|
Chordates have
A. Dorsal nerve cord
B. Dorsal hollow nerve cord
C. Brain
D. Ventral nerve cord
| 0 |
Biology
|
If \( \int \frac{d x}{\left(x^{2}+1\right)\left(x^{2}+4\right)}=k \tan ^{-1} x+ \)
\( l \tan ^{-1} \frac{x}{2}+C, \) then
A \( \cdot \quad k=\frac{1}{3} \)
B \( \cdot l=\frac{2}{3} \)
c. \( \quad k=-\frac{1}{3} \)
D \( \cdot l=-\frac{1}{6} \)
| 2 |
Maths
|
A dishonest milkman a buys 100 liters of milk from another dishonest
milkman \( B \) for onward distribution. He
retains 10 liter of milk for personal use, adds water to make up the shortfall and sells the mixture at Rs. 15 /liter, there
by making a profit of Rs. 2.75 /liter on
the quantity sold. If \( B \) had already
diluted the milk with water in the ratio
of milk : water 9: 1 and he makes a
profit of Rs. \( 1, \) the price per liter of pure milk purchased by \( B \) is closest to?
| 2 |
Maths
|
If \( f \) and \( g \) are two increasing function such that \( f o g \) is defined, then fog will
be
A. increasing function
B. decreasing function
c. neither increasing nor decreasing
D. None of these
| 2 |
Maths
|
Number of measurements required to
construct a square are
A.
B. 2
\( c \cdot 3 \)
\( D \)
| 2 |
Maths
|
If \( \angle B_{1} O A_{1}=60^{\circ} \& \) radius of biggest
circle is r. According to figure trapezium
\( \boldsymbol{A}_{1} \boldsymbol{B}_{1} \boldsymbol{D}_{1} \boldsymbol{C}_{1}, \boldsymbol{C}_{1} \boldsymbol{D}_{1} \boldsymbol{D}_{2} \boldsymbol{C}_{2}, \boldsymbol{C}_{2} \boldsymbol{D}_{2} \boldsymbol{D}_{3} \boldsymbol{C}_{3} \ldots \)
and so on are obtained. Sum of areas of
all the trapezium is -
A \( \cdot \frac{r^{2}}{2 \sqrt{3}} \)
B. \( \frac{9 r^{2}}{2 \sqrt{3}} \)
\( \mathrm{c} \cdot \frac{9 r^{2}}{\sqrt{3} r^{2}} \)
D. \( \frac{r^{2}}{9 \sqrt{3}} \)
| 2 |
Maths
|
Energy of \( 1000 \mathrm{J} \) is spent to increase the angular speed of a wheel from 20 \( r a d / s \) to 30 rad/s. Calculate the moment of inertia of the wheel.
| 3 |
Physics
|
\( N H_{2} C N_{(s)}+\frac{3}{2} O_{2(g)} \rightarrow N_{2(g)}+ \)
\( \boldsymbol{C O}_{2(g)}+\boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \)
This reaction is carried out in a bomb
calorie-meter. The heat released was
\( 743 K J \) mol \( ^{-1} \). The value of \( \Delta H_{300} \) for
this reaction would be:
A. \( -740 \mathrm{KJ} \mathrm{mol}^{-1} \)
В. -741.75 КJ mol\( ^{-1} \)
c. \( -743.0 K J \) mol\( ^{-1} \)
D. \( -744.25 \mathrm{KJ} \mathrm{mol}^{-1} \)
| 1 |
Chemistry
|
Which of the following is correct IUPAC name of compound? \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C H}_{3} \)
A. Pent-2-ene
B. Prop-1-en-2-yne
c. 1-Methylpropane
D. Pen-4-ene
| 1 |
Chemistry
|
BHNS is abbreviation of :
A. Banaras Natural History Society.
B. Bombay Natural History Society
C. Botanical North Himalayan Survey.
D. Biological Natural History Society.
| 1 |
Chemistry
|
A convex lens forms 19 times magnified image of an object on a screen placed 10 \( \mathrm{m} \) from the lens. What is the focal
length of the lens?
| 3 |
Physics
|
What is the magnitude of atmosphere
pressure.
| 3 |
Physics
|
State True or False.
Carbon-14 dating is used to determine the age of once living material
A. True
B. False
| 1 |
Chemistry
|
Which step is the chain propagation step in the following mechanism?
\[
\begin{array}{ll}
\text { 1. } \mathrm{Cl}_{2} \stackrel{\mathrm{hv}}{\longrightarrow} \mathrm{Cl}^{*}+\mathrm{Cl}^{\prime} & 2 . \mathrm{Cl}^{*}+\mathrm{CH}_{4} \longrightarrow \mathrm{CH}_{3}^{\circ}+\mathrm{HCl} \\
\text { 3. } \mathrm{Cl}^{*}+\mathrm{Cl}^{*} \longrightarrow \mathrm{Cl}_{2} & \text { 4. } \mathrm{CH}_{3}+\mathrm{Cl}^{*} \longrightarrow \mathrm{CH}_{3} \mathrm{Cl}
\end{array}
\]
\( A \). (i)
B. (ii)
c. (iii)
D. (iv)
| 1 |
Chemistry
|
What is biodegradable polymer? Give
one example
| 1 |
Chemistry
|
The smallest value of an angle whose
sine is \( -\frac{\sqrt{\mathbf{3}}}{\mathbf{2}} \) is
\( A \cdot 30^{\circ} \)
B . \( 60^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 240^{\circ} \)
| 2 |
Maths
|
The point which lies in the perpendicular bisector of the line segment joining the points \( A(-2,-5) \) and \( B(2,5) \) is
\( A \cdot(0,0) \)
B. (0, 2)
c. (2, 0)
\( D \cdot(-2,0) \)
| 2 |
Maths
|
In the diagram given below, label the
incident, refracted and emergent rays
Also, indicate the angle of deviation
| 3 |
Physics
|
Show that \( f, \) given by \( f(x)= \) \( \frac{\boldsymbol{x}-|\boldsymbol{x}|}{\boldsymbol{x}}(\boldsymbol{x} \neq \mathbf{0}), \) is continuous on \( \mathrm{R}[\mathbf{0}] \)
| 2 |
Maths
|
Using elementary tansormations, find
the inverse of each of the matrices, if it
exists in \( \left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right] \)
| 2 |
Maths
|
When we burn wool why do we get the smell of hair burn?
| 1 |
Chemistry
|
Alloys of ferromagnetic
materials
A. are always ferromagnetic in nature
B. need not be ferromagnetic in nature
C . are always diamagnetic in nature
D. are always antiferromagnetic in nature
| 3 |
Physics
|
Solubility of KCl is maximum in:
A \( \cdot C H_{3} C H_{2} O H \)
в. \( C H_{3} O C H_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{3} \) COOH
| 1 |
Chemistry
|
Maximum no. of electrons that can be
present in \( \mathrm{M} \& \mathrm{N} \) shells respectively are
\( \mathbf{A} \cdot 18,32 \)
B. 8,18
c. 32,50
D. 32,48
| 1 |
Chemistry
|
The average breathing rate of human beings
A . \( 15-18 \) times
B. 15- 25 times
c. 10 -20 times
D. None of the above
| 0 |
Biology
|
If the product of two integers is 72 and one of them is \( -9, \) then the other
integer is.
A. -8
B. 8
c. 81
D. 63
| 2 |
Maths
|
\( \mathbf{f}_{\mathbf{0}}=\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ \boldsymbol{p} & \boldsymbol{q} & \boldsymbol{r}\end{array}\right| \) and \( \boldsymbol{\Delta}_{2}=\left|\begin{array}{lll}\boldsymbol{y} & \boldsymbol{b} & \boldsymbol{q} \\ \boldsymbol{x} & \boldsymbol{a} & \boldsymbol{p} \\ \boldsymbol{z} & \boldsymbol{c} & \boldsymbol{r}\end{array}\right| \)
then \( \Delta_{1} \) is equal to
\( A \cdot 2 \Delta_{2} \)
в. \( \Delta_{2} \)
\( c \cdot-\Delta_{2} \)
D. none of these
| 2 |
Maths
|
The present age of a man is twice that of his son.After Eight years their ages will be in the ratio 7: 4 . Find the son's
present age.
A. 24years
B. 34years
c. 44years
D. 54years
| 2 |
Maths
|
Find the total surface area of cubes
having the following sides.
\( 6.8 m \)
| 2 |
Maths
|
You travel on the highway at a rate of \( 60 m p h \) for 1 hour and at \( 50 m p h \) for 2
hours and 40 mph for 3 hours. What is
your average speed during the trip?
A \( .48 m p h \)
в. 47 три
c. \( 46 m p h \)
D. \( 45 \mathrm{mph} \)
| 3 |
Physics
|
Choose the correct answer from the
alternatives given What is name of the iron-containing protein that gives red blood vessels
their colour?
A. Haemoglobin
B. Hemocyanin
c. Pyrite
D. Lymphocytes
| 0 |
Biology
|
If masses of three wires of copper are in the ratio of 1: 3: 5 and there lengths are in the ratio of \( 5: 3: 1, \) then ratio of their
electrical resistance is
A .1: 3: 5
B. 5: 3: 1
c. 1: 15: 125
D. 125 : 15 : 1
| 3 |
Physics
|
Evaluate the following:
\( \left|\begin{array}{ccc}1 & a & b c \\ 1 & b & c a \\ 1 & c & a b\end{array}\right| \)
| 2 |
Maths
|
A solution contaming \( N H_{4} C l \) and \( N H_{4} O H \) has \( [\stackrel{\ominus}{O} H]=10^{-6} m o l L^{-1} \)
which of the following hydroxides would be precipitated when this solution in added in equal volume to a solution containing \( 0.1 \mathrm{M} \) of metal ions?
A \( \cdot M g(O H)_{2},\left(K_{s p}=3 \times 10^{-11}\right) \)
B. \( F e(O H)_{2}\left(K_{s p}=8 \times 10^{-16}\right) \)
c. \( C d(O H)_{2}\left(K_{s p}=8 \times 10^{-6}\right) \)
D. \( \operatorname{AgOH}\left(K_{s p}=5 \times 10^{-3}\right) \)
| 1 |
Chemistry
|
Frictional force always reduces:
A. Speedd
B. Velocity
c. Acceleration
D. Time
| 3 |
Physics
|
Lower and upper mantle is separated
with help of :
A. territorial zone
B. transition zone
c. terrestrial zone
D. inner zone
| 3 |
Physics
|
The ionisation energy of a hydrogen like
Bohr atom is 4 Rydberg. What is the wavelength of the radiation emitted when the electronjumps from the first excited state to the ground
state?
| 3 |
Physics
|
Kidney of adult rabbit is
A. Pronephros
B. Metanephros
c. Mesonephros
D. Opisthonephros
| 0 |
Biology
|
When a mass is suspended from the end of a wire the top end of which is attached to the roof of the lift, the
extension is \( e \) when the lift
is stationary. If the lift moves up with a constant acceleration \( \boldsymbol{g} / \mathbf{2}, \) the
extension of the wire would be
A \( \cdot \frac{2 e}{3} \)
в. \( \frac{3 e}{2} \)
\( c \cdot 2 e \)
D. \( 3 e \)
| 3 |
Physics
|
Explain the temporary and permanent
methods to be adopted for kidney
failure (ESRD) persons.
| 0 |
Biology
|
Planets do not twinkle as stars, because
A. Planets are much closer to earth than stars
B. Planets are smaller in size than stars
C. A planet is not surrounded by gaseous atmosphere
D. A star is not surrounded by gaseous atmosphere
| 3 |
Physics
|
The important characteristic that
distinguishes uniform from non
uniform circular motion are
A. Uniform circular motion has radial acceleration and radial velocity, while non uniform motion lacks it
B. Uniform circular motion has radial acceleration and tangential velocity, while non uniform motion lacks it
C. Non uniform circular motion has tangential acceleration, while uniform circular motion lacks it
D. Non uniform circular motion has tangential acceleration and radial velocity, while uniform circular motion lacks it
| 3 |
Physics
|
Out of \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{3}, \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{4}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{5} \) and
\( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8} \) peroxy acids are:
A. \( H_{2} S_{2} O_{3}, H_{2} S_{2} O_{8} \)
в. \( H_{2} S O_{5}, H_{2} S_{2} O_{8} \)
c. \( H_{2} S_{2} O_{4}, H_{2} S O_{5} \)
D. \( H_{2} S_{2} O_{3}, H_{2} S_{2} O_{4} \)
| 1 |
Chemistry
|
When light is incidence on a diffraction
grating, then the zero order maximum will be
A. spectrum of the colours
B. White
c. one of the component colours
D. Absent
| 3 |
Physics
|
The intensity of the
atmospheric electric field is, normally,
A. greater in the middle of the day than at morning
B. smaller in the middle of the day than at morning
C. same in the middle of the day as at morning
D. zero in the middle of the day and at morning
| 3 |
Physics
|
The magnetic field in the cylindrical region shown in figure increases at a
constant rate of \( 10.0 m T s^{-1} \). Each side
of the square loop abcd and defa has a
length of \( 20.0 \mathrm{cm} \) and a resistance of
\( 2.00 \Omega . \) Correctly match the current in
the wire \( a d \) in four different situations
as listed in column I with the values
given in column II.
| 3 |
Physics
|
In the reaction, \( C(s)+C O_{2}(g) \leftrightharpoons \)
\( 2 C O(g), \) the equilibrium pressure is 12
atm. If \( 50 \% \) of \( C O_{2} \) reacts, calculate \( K_{p} \)
A. 1.6 atm
B. 0.16 atm
\( c \cdot 16 \operatorname{atm} \)
D. 160 atm
| 1 |
Chemistry
|
Which of the following is true for
cornea?
A. It allows light to enter the eye
B. Most of the refraction of light occurs on the outer surface of cornea
C. It forms a transparent bulge on the outer surface of the eyeball.
D. All of the above
| 3 |
Physics
|
'Entomophagous fungi' is
A. Colletotrichum
B. Cercospora
c. Dactylella
D. Rhizopus
| 0 |
Biology
|
is continuously formed by the action of UV rays on molecular oxygen and also degraded into molecular oxygen in the stratosphere.
| 0 |
Biology
|
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{- 1} & \mathbf{2} \\ \mathbf{3} & \mathbf{0} & -\mathbf{2} \\ \mathbf{1} & \mathbf{0} & \mathbf{3}\end{array}\right] \) verify that
\( \boldsymbol{A}(\boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A})=|\boldsymbol{A}| \boldsymbol{I} \)
| 2 |
Maths
|
Match the column - I with Column - II
and pick up the correct answer:
\( \begin{array}{ll}\text { Column - - } & \text { Column -II } \\ \text { (I) Nickel } & \text { A. Conversion }\end{array} \)
(II) ZSM-5 \( \quad \) B. Alkylation of benzene I) ZSM-5
(III) \( S i O_{2} \quad \) C. Hydrogenation 'on
A.
B. I-A II - B III - C
c. \( 1-\mathrm{C} \) ॥ \( -\mathrm{B} \) III \( -\mathrm{A} \)
D. I - B II - C III - B
| 1 |
Chemistry
|
The following four wires are made of the same material. Which of these will have
the largest extension when the same tension is applied?
A. Length \( =50 \mathrm{cm}, \) diameter \( =0.5 \mathrm{mm} \)
B. Length = 100 cm, diameter = 1 mm
c. Length\( =200 \mathrm{cm}, \) diameter \( =2 \mathrm{mm} \)
D. Length \( =300 \mathrm{cm}, \) diameter \( =3 \mathrm{mm} \)
| 3 |
Physics
|
The scalar matrixis
\( \mathbf{A} \cdot\left[\begin{array}{cc}-1 & 3 \\ 2 & 4\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{ll}0 & 3 \\ 2 & 0\end{array}\right] \)
\( \mathbf{C} \cdot\left[\begin{array}{ll}4 & 0 \\ 0 & 4\end{array}\right] \)
D. None of these
| 2 |
Maths
|
Black precipitate in the detection of sulphur with lead acetate and acetic
acid is due to formation of:
A \( \cdot P b_{2} S \)
в. \( P b S \)
c. \( P b S_{2} \)
D. \( P b S O_{4} \)
| 1 |
Chemistry
|
The pair whose both species are used in antacid medicinal preparation is
в. \( N a_{2} C O_{3} \) and \( C a\left(H C O_{3}\right) \)
c. \( C a\left(H C O_{3}\right)_{2} \) and \( M g(O H)_{2} \)
D. \( C a(O H)_{2} \) and \( N a H C O_{3} \)
| 1 |
Chemistry
|
When an object is in a bond state in a field, its total energy is
A. positive
B. negative
c. zero
D. infinite
| 3 |
Physics
|
A man running with a uniform speed 'u' on a straight road observed a stationary bus at a distance 'd' ahead of him. At
that instance, the bus starts with an
acceleration 'a'. The condition that he
would be able to catch the bus is:
| 3 |
Physics
|
Name the stage of cell cycle at which one of the following events occurs. (i) Chromosomes are moved to spindle
equator.
(ii) Centromere splits and chromatids separate.
(iii) Pairing between homologous chromosomes
takes place
(iv) Crossing over between homologous chromosomes takes place.
| 0 |
Biology
|
Household electrical appliances are joined using combination
of resistors
A. Parallel
B. Alternating
c. continuous
D. Series
| 3 |
Physics
|
The epoch of human civilization is
A. Pliocene
B. Holocene
c. Pleistocene
D. Palaeocene
| 0 |
Biology
|
Statement \( I: H_{2} S O_{4} \) is not used during
the reaction of alcohols with \( K I \)
Statement II : \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) oxidises \( \boldsymbol{K} \boldsymbol{I} \) to \( \boldsymbol{I}_{2} \)
and will prevent reaction of alcohol with
\( \boldsymbol{K} \boldsymbol{I} \)
A. Statement I \& Statement II are correct and statement I is correct explanation of statement
B. Statement I \& Statement II are correct and statement
Il is not correct explanation of statement
c. Statement lis correct and Statement II is wrong
D. Statement I is wrong and Statement II is correct
| 1 |
Chemistry
|
For the half reaction
\( \boldsymbol{B}(\boldsymbol{s}) \rightarrow \boldsymbol{B}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \quad \boldsymbol{E}_{1}^{\circ}=-\mathbf{0 . 4 4} \boldsymbol{V} \)
and \( B_{2}+\rightarrow B^{3+}+e^{-} \quad E_{2}^{\circ}=1.3 V \)
What is \( E^{\circ} \) for the reaction,
\( \boldsymbol{3} \boldsymbol{e}^{-}+\boldsymbol{B}^{+\boldsymbol{3}} \rightarrow \boldsymbol{B}(\boldsymbol{s}) \)
A . \( 0.86 \mathrm{v} \)
B. \( 0.14 \mathrm{v} \)
c. -0.14 v
D. - 0.28 v
| 1 |
Chemistry
|
A person is suffering from frequent episodes of nasal discharge, nasal
congestion, reddening of eyes and watery eyes. These are the symptoms of
A. Cyanosis
B. Bronchitis
c. Rhinitis
D. Bronchial carcinoma
| 0 |
Biology
|
The figure shows an estimated force
time graph for a baseball stuck by a bat From the curve determine:
(i) impulse delivered to the ball
(ii) force exerted on the ball
(iii) the max. force on the ball.
| 3 |
Physics
|
A fuse wire is always connected to the
A. earth wire
B. neutral wire
C. live wire
D. none of these
| 3 |
Physics
|
Feasible region's optimal solution for a linear objective function always includes
A. downward point
B. upward point
c. corner point
D. front point
| 2 |
Maths
|
Distinguish between the terms homopolymer and copolymer and give an example of each.
| 1 |
Chemistry
|
Let \( O \) be the origin and \( P \) be the point at a distance 3 units from origin. If d.x.s' of OP are \( 1,-2,-2, \) then coordinates of \( P \) is
given by
A. 1,-2,-2
в. 3,-6,-6
c. \( \frac{1}{3},-\frac{2}{3},-\frac{2}{3} \)
D. \( \frac{1}{9},-\frac{2}{9},-\frac{2}{9} \)
| 2 |
Maths
|
Use the test for symmetry to determine
if the graph of \( y-5 x^{2}=4 \) is
symmetric about the x-axis.
A. Symmetrical about x-axis
B. Not symmetrical about x-axis
c. Can't be determined
D. None of these
| 2 |
Maths
|
Evaluate \( \int_{1}^{3}(3 x-2) d x \)
| 2 |
Maths
|
If the roots of \( \left(a^{2}+b^{2}\right) x^{2}-2 b(a+ \)
\( c) x+\left(b^{2}+c^{2}\right)=0 \) are equal, then
\( a, b, c \) are in
A. A.P
в. G.P.
c. н.P.
D. none of these
| 2 |
Maths
|
Optical fibers works on the principle of
A. Reflection
B. Refraction
c. Total internal reflection
D. All
| 3 |
Physics
|
A buffer solution can be prepared from a
mixture of:
(i) Sodium acetate and acetic acid in
water
(ii) Sodium acetate and hydrochloric
acid in water
(iii) Ammonia and ammonium chloride
in water
(iv) Ammonia and sodium hydroxide in
water
\( A \cdot(i),(\text { ii }) \)
B . (ii), (iii)
c. (iii), (iv)
D. (i), (iii)
| 1 |
Chemistry
|
Cerium \( (z=58) \) is an important member of the lanthanides. Which of
the following statements about cerium is incorrect?
A. The common oxidation states of cerium are +3 and +4
B. The +3 oxidation state of cerium is more stable than the +4 oxidation state
c. The +4 oxidation state of cerium is not known in solutions
D. Cerium (IV) acts as an oxidising agent.
| 1 |
Chemistry
|
The probability \( (P) \) of survival of \( a \) radioactive nucleus in its mean life is:
\( A \cdot \frac{1}{e} \)
B. \( \frac{1}{\lambda} \)
c. \( \frac{0.633}{\lambda} \)
D.
| 1 |
Chemistry
|
plating is done on
objects such as car parts, bath taps, kitchen gas burners, bicycle handlebars, wheel rims because of its
shiny appearance
A. Chromium
B. Nickel
c. carbon
D. None of these
| 3 |
Physics
|
What are natural fibres ? Give two
examples.
| 1 |
Chemistry
|
A wire of length \( L \) and cross-sectional area \( A \) is constructed of a material
whose Young's modulus of elasticity is
Y. The energy density stored in the wire when stretched by \( x \) meter will be
A. \( Y \times x^{2} \)
в. \( \frac{Y \times x^{2}}{L} \)
c. \( \frac{Y \times x^{2}}{2 L^{2}} \)
D. \( \frac{Y \times x^{2}}{L^{2}} \)
| 3 |
Physics
|
Bad conductor of heat is
A. copper
B. Steel
c. Silver
D. none of these
| 3 |
Physics
|
An electron moving with a velocity of \( 5 \times 10^{4} m s^{-1} \) enters into a
uniform electric field and acquires a
uniform acceleration of \( 10^{4} m s^{-2} \) in the
direction of its initial motion. Calculate
the time(in \( s \) ) in which the electron
would acquire a velocity double of its initial velocity
A . 10
B. 8
\( c \cdot 5 \)
\( D \)
| 3 |
Physics
|
Power of accomodation of eye implies:
A. control intensity
B. prevent internal reflection of light
c. change of focal length of eye lens
D. all of the above
| 3 |
Physics
|
The correct order of magnetic moments (spin only values in (B.M.) among the following is:
[Atomic numbers \( M n=25, F e=26, C o= \)
27]
\( \left.\mathbf{A} \cdot\left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{CoCl}_{4}\right]^{2-}>\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4} \)
B . \( \left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{CoCl}_{4}\right]^{2} \)
C \( \cdot\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{MnCl}_{4}\right]^{2-}>\left[\mathrm{CoCl}_{4}\right]^{2} \)
D \cdot \( \left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}>\left[\mathrm{CoCl}_{4}\right]^{2-}>\left[\mathrm{MnCl}_{4}\right]^{2-} \)
| 1 |
Chemistry
|
Cantres of the three circles
\( x^{2}+y^{2}-4 x-6 y-14=0 \)
\( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{4} \boldsymbol{y}-\boldsymbol{5}=\mathbf{0} \)
and \( x^{2}+y^{2}-10 x-16 y+7=0 \)
A. Are the vertices of a right triangle
B. The vertices of an isosceles triangle which is not regular
c. vertices of a regular triangle
D. Are collinear
| 2 |
Maths
|
Define a sere.
| 0 |
Biology
|
8
8
8
| 1 |
Chemistry
|
What happens to the moon after full
moon day?
| 3 |
Physics
|
In fig., ABCD is a rhombus
Is \( \angle B A C=\angle D A C ? \)
A. True
B. False
| 2 |
Maths
|
Next homologue of ethane is?
A. propane
B. methane
c. ethene
D. ethyne
| 1 |
Chemistry
|
For \( \mathbf{3} \times \mathbf{3} \) matrices \( \boldsymbol{A} \) and \( \boldsymbol{B}, \) if \( |\boldsymbol{B}|=\mathbf{1} \)
and \( A=2 B \) then find \( |A| \)
A .
B. 4
\( c \cdot 2 \)
D. 8
| 2 |
Maths
|
Evaluate \( \left(x^{3}+2 x^{2}+3 x\right) \div 2 x \)
A \( \cdot\left(x^{2}+2 x-3\right) \div 2 \)
B. \( \left(x^{2}-2 x+3\right) \div 2 \)
c. \( \left(x^{2}+2 x+3\right) \div 2 \)
D. \( \left(x^{2}+x+3\right) \div 2 \)
| 2 |
Maths
|
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