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Let \( \boldsymbol{A}=\boldsymbol{R}-\{\mathbf{3}\} \) and \( \boldsymbol{B}=\boldsymbol{R}-\{\mathbf{1}\} \)
Then, \( \boldsymbol{f}: \boldsymbol{A} \rightarrow \boldsymbol{B}: \boldsymbol{f}(\boldsymbol{x})=\frac{(\boldsymbol{x}-\boldsymbol{2})}{(\boldsymbol{x}-\boldsymbol{3})} \) is?
A. One-one and into
B. One-one and onto
c. Many-one and into
D. Many-one and onto
| 2 |
Maths
|
A container is filled with water \( (\mu= \)
1.33) upto a height of \( 33.25 \mathrm{cm} . \) A
concave mirror is placed \( 15 \mathrm{cm} \) above
the water level and the image of an object placed at the bottom is formed \( 25 \mathrm{cm} \) below the water level. The focal
length of the mirror is
\( \mathbf{A} \cdot 10 \)
B. 15
\( c .20 \)
D. 25
| 3 |
Physics
|
Do plants breathe?
| 0 |
Biology
|
Find each of the following products:
(a) \( -10 \times 9 \)
(b) \( (-20) \times(-10) \)
(c) \( (-4) \times(-6) \)
| 2 |
Maths
|
\( \lim _{n \rightarrow \infty}\left[\frac{1}{n^{2}} \sec ^{2} \frac{1}{n^{2}}+\frac{2}{n^{2}} \sec ^{2} \frac{4}{n^{2}}+\ldots+\frac{1}{r}\right. \)
A \( \cdot \frac{1}{2} \sec 1 \)
B \( \cdot \frac{1}{2} \csc 1 \)
\( c . \tan 1 \)
D. \( \frac{1}{2} \tan \)
| 2 |
Maths
|
Two force point charges \( +q \) and \( +4 q \)
are a distance \( \ell \) apart. A third charge \( q_{1} \)
is so placed that the entire system is in equilibrium. Find the location,
magnitude and sign of the third charge.
This question has multiple correct options
A \( \cdot q_{1}=\frac{4}{9} q \)
B. \( q_{1}=\frac{-4}{9} q \)
\( \mathbf{C} \cdot q_{1} \) is to be placed at a distance \( \ell / 3 \) from \( q \)
D. \( q_{1} \) is to be placed at a distance \( \frac{2 \ell}{3} \) from \( 4 q \)
| 3 |
Physics
|
Brownish branches coming down from
crown of Banyan tree and reaching the soil are
A. Prop roots
B. Stilt roots
c. Additional trunks
D. Pillar branches
| 0 |
Biology
|
The equation \( x^{2}-2=[\sin x], \) where \( [.] \)
denotes the greatest integer function, has
This question has multiple correct options
A. infinity many roots
B. exactly one integer root
c. exactly one irrational root
D. exactly two roots
| 2 |
Maths
|
Dalton said that
cannot be divided.
| 1 |
Chemistry
|
Q Type your question.
smooth pulley as shown in figure. If the system is released from rest, find the
work done by tension on both \( 1 \mathrm{kg} \) and 2 kg blocks in 1 s. (Take \( g=10 m / s^{2} \) )
A \( \cdot \frac{200}{9} J,-\frac{200}{9} J \)
В. \( -\frac{200}{9} J,+\frac{200}{9} J \)
c. \( +\frac{200}{9} J,+\frac{200}{9} J \)
| 3 |
Physics
|
The hybridization of carbon atoms in
\( \boldsymbol{C}-\boldsymbol{C} \) single bond of \( \boldsymbol{C H} \equiv \boldsymbol{C}- \)
\( \boldsymbol{C H}=\boldsymbol{C H}_{2} \) is :
A \( s p^{3}-s p^{3} \)
is \( s s p^{3}-s p^{3} \)
B \( \cdot s p^{2}-s p^{3} \)
\( \mathbf{c} \cdot s p-s p^{2} \)
D. \( s p^{3}-s p \)
| 1 |
Chemistry
|
The following data are obtained when dinitrogen and dioxygen react together to form different compounds:
Mass of dinitrogen \( \quad \) Mass of dioxygen
\( 14 \mathrm{g} \) \( 16 g \)
\( 14 \mathrm{g} \) 328
\( 28 \mathrm{g} \) 32 \( g \)
\( 28 g \) \( 80 g \)
Which law of chemical combination is
obeyed by the above experimental data?
A. Law of conservation of mass
B. Law of definite proportions
c. Law of multiple proportions
D. Avogadro's Law
| 1 |
Chemistry
|
If the extension of the string when it
makes a constant angle relative to vertical is \( \frac{2 m \sqrt{g^{2}+a^{2}}}{x \pi r^{2} Y} l . \) Find \( x \)
| 3 |
Physics
|
The steps for the manufacture of nitric
acid by Ostwald process are given. Arrange them in sequence.
(a) Recirculation of nitric oxide
(b) Addition of \( H_{2} O \) to nitrogen dioxide
(c) Oxidation of nitric oxide
(d) Catalytic oxidation of ammonia
\( A \cdot d c b a \)
B. \( d \) c a \( b \)
\( c \cdot c d b a \)
D. \( \operatorname{cd} a b \)
| 1 |
Chemistry
|
Range of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sin ^{2}\left(x^{4}\right)+\cos ^{2}\left(x^{4}\right) \) is
\( A \cdot(-\infty, \infty) \)
B . \{1\}
c. (-1,1)
D. (0,1)
| 2 |
Maths
|
The correct relation between the size of
the obstacle and wavelength of light in order to observe the diffraction effect is
A \( \cdot a_{/ \lambda}=0 \)
B \( \cdot a_{/ \lambda}=0 \)
\( c \cdot a_{/ \lambda}=\infty \)
\( \mathbf{D} \cdot a_{/ \lambda}=150 \)
| 3 |
Physics
|
Evaluate the following integral
\( \int \frac{1}{\sqrt{a^{2}+b^{2} x^{2}}} d x \)
| 2 |
Maths
|
Let \( \mathbf{y}(\mathbf{x}) \) be the solution of the
differential equation \( (\mathbf{x} \log \mathbf{x}) \frac{\mathbf{d y}}{\mathbf{d x}}+\mathbf{y}=2 \mathbf{x} \log \mathbf{x},(\mathbf{x} \geqslant 1) \)
Then \( \mathbf{y}(\mathbf{e}) \) is equal to :
A.
B. 2
\( c \cdot z \)
D.
| 2 |
Maths
|
According to M.O. theory for the atomic
species " \( C_{2} \) " which is not correct? This question has multiple correct options
A. Bond order is zero and it is paramagnetic
B. Bond order is zero and it is diamagnetic.
C. Bond order is two and it is paramagnetic
D. Bond order is two and it is diamagnetic.
| 1 |
Chemistry
|
Let \( f(x) \) be a function satisfying \( f(x+ \) \( \boldsymbol{y})=\mathbf{f}(\mathbf{x}) \mathbf{f}(\mathbf{y}) \) for all \( \boldsymbol{x}, \boldsymbol{y} \in \mathbf{R} \) and
\( \mathbf{f}(\mathbf{x})=\mathbf{1}+\mathbf{x} \mathbf{g}(\mathbf{x}), \) where \( \lim _{x \rightarrow 0} \mathbf{g}(\mathbf{x})=\mathbf{1} \)
then \( f^{\prime}(x) \) is equal to
A. \( x g(x) \)
в. \( \mathrm{g}^{\prime}(\mathrm{x}) \)
c. \( f(x) \)
D.
| 2 |
Maths
|
What are represented by the equation \( \boldsymbol{x}^{3}+\boldsymbol{y}^{3}+(\boldsymbol{x}+\boldsymbol{y})(\boldsymbol{x} \boldsymbol{y}-\boldsymbol{a} \boldsymbol{x}-\boldsymbol{a} \boldsymbol{y})=\mathbf{0} \)
| 2 |
Maths
|
The electric potential energy between a proton and an electron is given by \( U= \) \( U_{0} l n \frac{r}{r_{0}}, \) where \( r_{0} \) is a constant.
Assuming Bohr's model to be
applicable, write the variation of \( ^{\prime} \boldsymbol{r}^{\prime} \)
with \( n, n \) being the principal quantum number.
\( \mathbf{A} \cdot r_{n} \propto n \)
\( \mathbf{B} \cdot r_{n} \propto 1 / n \)
c. \( r_{n} \propto n^{2} \)
D. \( r_{n} \propto 1 / n^{2} \)
| 3 |
Physics
|
A ball of mass \( 200 g \) falls from a height
of \( 5 m . \) What is its K.E. when it just
reaches the ground?
A . \( 9.8 J \)
в. \( 98 J \)
\( \mathrm{c} .980 \mathrm{J} \)
D. None of these
| 3 |
Physics
|
Which of the following configurations has the highest ionization energy?
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{1} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{3} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{2} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{4} \)
| 1 |
Chemistry
|
Dryopithecus is more similar to-
A . Ape
B. Gorilla
c. Chimpanzee
D. Man
| 0 |
Biology
|
The number of neutrons accompanying the formation of \( _{54}^{139} X e \) and \( _{38}^{94} S r \) from the absorption of a slow neutron by \( _{92}^{235} U \) followed by nuclear fission is:
\( \mathbf{A} \cdot \mathbf{0} \)
B . 2
c. 1
D. 3
| 3 |
Physics
|
How is the transference of heat energy
by radiation prevented in a calorimeter?
| 3 |
Physics
|
In the given reaction:
\( 4 H_{3} P O_{3} \longrightarrow 3 H_{3} P O_{4}+P H_{3} \)
Equivalent weight of \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) is :
A. 41.00
B. 54.67
c. 72.89
D. 82.00
| 1 |
Chemistry
|
Explain human digestive system so as to explain the phenomenon of absorption, Assimilation and Egestion.
| 0 |
Biology
|
To eliminate \( x \) from equations \( x+y+ \)
\( 3 x=12 \rightarrow \ldots . . \) (1) \( \& 8 x+3 y=17 \rightarrow \ldots \)
(2), equation (2) is to be multiplied by
\( A \cdot 8 \)
в. \( -\frac{1}{2} \)
\( c \cdot \frac{1}{2} \)
D. 3
| 2 |
Maths
|
An electric dipole is held in a uniform
electric field.
(i) Show that the net force acting on it is
zero
(ii) The dipole is aligned parallel to the field. Find the work in rotating it through the angle of \( 180^{\circ} \)
| 3 |
Physics
|
\( \frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-1} \& \frac{x-1}{k}= \)
\( \frac{\boldsymbol{y}-\boldsymbol{4}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\boldsymbol{5}}{\boldsymbol{2}} \) are coplanar then \( \mathbf{k}=? \)
A. any value
B. exactly one value
c. exactly 2 values
D. exactly 3 values
| 2 |
Maths
|
Find \( a, b, c \) if \( a(1,3,2)+b(1,-5,6)+ \)
\( c(2,1,-2)=(4,10,-8) \)
| 2 |
Maths
|
A person holds a bucket of weight \( 60 N \)
He walks \( 7 m \) along the horizontal path
and then climbs up a vertical distance
of 5 m. The work done by the man is:
A . \( 300 J \)
в. \( 420 J \)
c. \( 720 J \)
D. none of these
| 3 |
Physics
|
(a) Differentiate between three
segments of a transistor on the bias of
their size and level of doping.
(b) How is a transistor biased to be in
active state?
(c) With the help of necessary circuit diagram, describe briefly how n-p-n transistor in CE configuration amplifies a small sinusoidal input voltage. Write
the expression for the ac current gain.
| 3 |
Physics
|
The radius of a hemispherical balloon increases from \( 7 \mathrm{cm} \) to \( 14 \mathrm{cm} \) as air is
being pumped into it. Find the ratios of the surface areas of the balloon in the
two cases.
| 2 |
Maths
|
A ball drops from a ceiling of a room, and after rebounding twice from the floor reaches a height equal to half that
of the ceiling. Show that coefficient of restitution is \( \sqrt[4]{\frac{1}{2}} \)
| 3 |
Physics
|
Radial vascular bundles occur in
A. Stem
B. Monocot stem
c. Dicot stem
D. Root
| 0 |
Biology
|
Which of the following will form lactone
on treatment with NaOH?
A. \( \alpha- \) Bromo acid
B. \( \beta- \) Bromo acid
c. \( \beta \) - Hydroxy acid
D. \( \delta- \) Bromo acid
| 1 |
Chemistry
|
The cost of \( 30 \mathrm{m} \) cloth is Rs. 450
Find the cost of \( 26 \mathrm{m} \) cloth.
| 2 |
Maths
|
What is the scientific name of Asian
tiger mosquito?
A. Aedes aegypti
B. Aedes albopictus
c. Aedes taeniorhynchus
D. Aedes albolineatus
| 0 |
Biology
|
If \( \phi(x)=f(x)+x f^{1}(x) \) then \( \int \phi(x) d x \)
is equal to
A. \( (x+1) f(x)+k \)
В. \( (x-1) f(x)+k \)
c. \( x f(x)+k \)
D. None of these
| 2 |
Maths
|
At two different places, the angles of dip
are respectively \( 30^{\circ} \) and \( 45^{\circ} . \) At these
two places the ratio of horizontal component of earth's magnetic field is:
A. \( \sqrt{3}: \sqrt{2} \)
B. \( 1: \sqrt{2} \)
c. 1: 2
D. \( 1: \sqrt{3} \)
| 3 |
Physics
|
One of the method for purification of water is sedimentation.
A. True
B. False
| 0 |
Biology
|
Which of the following is correct?
A. Formic acid is used in medicine for the treatment of
gout
B. Propanoic acid is used as an antiseptic in the preservation of fruit juice
C. Ethanoic acid is a coagulating agent in rubber industry
D. None of these
| 1 |
Chemistry
|
Find the inverse of the matrix
\( \mathbf{A}=\left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{2} \\ {[\mathbf{0 . 3 e m}] \mathbf{1}} & \mathbf{2} & \mathbf{3} \\ {[\mathbf{0 . 3 e m}] \mathbf{3}} & \mathbf{1} & \mathbf{1}\end{array}\right] \)
| 2 |
Maths
|
The combustions of benzene (I) gives
\( \boldsymbol{C O}_{2}(\boldsymbol{g}) \) and \( \boldsymbol{H}_{2} \boldsymbol{O}(l) . \) Given that heat of
combustion of benzene at constant
volume is \( -3263.9 k J \) mol\( ^{-1} \) at \( 25^{\circ} C \)
heat of combustion \( \left(\text { in } k J m o l^{-1}\right) \) of
benzene at constant pressure will be:
\( \left(\boldsymbol{R}=\mathbf{8 . 3 1 4} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1}\right) \)
A \( .+3260 \)
B . -3267.6
\( \mathbf{c} .+4152.6 \)
D. -452.46
| 1 |
Chemistry
|
Radiations of intensity \( 0.5 \mathrm{W} / \mathrm{m} 2 \) are striking a metal plate. The pressure on the plate is
A \( \cdot 0.166 \times 10^{-8} N / m 2 \)
В. \( 0.332 \times 10-8 N / m^{2} \)
c. \( 0.111 \times 10-8 N / m^{2} \)
D. \( 0.083 \times 10-8 N / m^{2} \)
| 3 |
Physics
|
A particle is thrown vertically upwards. Its velocity at half of the height is \( \mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}, \) then the maximum height
attained by it will be: \( \left(g=10 m / s^{2}\right) \)
A . \( 10 m \)
в. \( 20 m \)
\( c .15 m \)
D. \( 25 m \)
| 3 |
Physics
|
The growth of pollen tubes towards ovules is due to
A. Hydrotropism
B. Chemotropism
c. Geotropism
D. Phototropism
| 0 |
Biology
|
Chlorobenzene on fusing with solid
NaOH (at \( 623 \mathrm{K} \) and 320 atm
pressure) gives:
A. benzene
B. benzoic acid
c. phenol
D. benzene chloride
| 1 |
Chemistry
|
Starting from rest, when a body moves with uniform acceleration, then distances covered after 1 st, 2 nd, \( 3 r d, \)
seconds are in the ratio
A . 1: 2: 3: 4
B. 1:4:9:16...
c. 1: 3: 5: 7
D. 2:3:5:7...
| 3 |
Physics
|
Prepare the truth table for the following
statement pattern
\( (\boldsymbol{p} \vee \sim \boldsymbol{q}) \rightarrow(\boldsymbol{r} \wedge \boldsymbol{p}) \)
| 2 |
Maths
|
An ice cube of mass \( 0.1 \mathrm{kg} \) at \( 0^{\circ} \mathrm{C} \) is
placed in an isolated container which is
\( \operatorname{at} 227^{\circ} \mathrm{C} . \) The specific heat \( S \) of the container varies with temperature \( \boldsymbol{T} \)
according to the empirical relation \( S= \)
\( \boldsymbol{A}+\boldsymbol{B} \boldsymbol{T}, \) where \( \boldsymbol{A}=\mathbf{1 0 0} \boldsymbol{c a l} / \boldsymbol{k g}-\boldsymbol{K} \)
and \( B=2 \times 10^{-2} c a l / k g-K^{2} . \) If the
final temperature of the container is
\( 27^{\circ} \mathrm{C}, \) determine the mass of the
container. (Latent heat of fusion of
water \( =8 \times 10^{4} c a l / k g-K, \) Specific
heat of water \( \left.=10^{3} c a l / k g-K\right) \)
| 3 |
Physics
|
Find the sum of the series \( 1.3^{2}+ \)
\( 2.5^{2}+3.7^{2}+ \) to \( n \) terms.
| 2 |
Maths
|
The line passes through \( \left(-1, \frac{\pi}{2}\right) \) and perpendicular to the line \( \sqrt{3} \sin \theta+ \) \( 2 \cos \theta=\frac{4}{r} \) is:
A \( .2=\sqrt{3} r \cos \theta-2 r \sin \theta \)
в. \( 5=2 \sqrt{3} r \sin \theta+4 r \cos \theta \)
c. \( 2=\sqrt{3} r \cos \theta+2 r \sin \theta \)
D. \( 8=2 \sqrt{3} r \sin \theta-4 r \cos \theta \)
| 2 |
Maths
|
A rain drop of radius 0.3 mm has a
terminal velocity in air= \( 1 \mathrm{m} / \mathrm{s} \). The
viscocity of air is \( 8 \times 10^{-5} \) poise. The
viscous force on it is:
A \( .45 .2 \times 10^{-4} \) dyne
B . \( 101.73 \times 10^{-5} \) dyne
C. \( 16.95 \times 10^{-4} \) dyne
D. \( 16.95 \times 10^{-5} \) dyne
| 3 |
Physics
|
The magnetic moment of a bar magnet is
0.256 amp.m \( ^{2} \). Its pole strength is 400
milli amp. m. It is cut into two equal
pieces and these two pieces are arranged
at right angles to each other with their unlike poles in contact (or like poles in contact). The resultant magnetic
moment of the system is
A \( \cdot \sqrt{2} \times 256 \times 10^{-3} A m^{2} \)
B . \( 250 \times 10^{-3} \mathrm{Am}^{2} \)
c. \( \frac{256}{\sqrt{2}} \times 10^{-3} \mathrm{Am}^{2} \)
D \( \cdot \frac{128}{\sqrt{2}} \times 10^{-3} \mathrm{Am}^{2} \)
| 3 |
Physics
|
Write a polynomial of degree 5 using variable \( x \)
| 2 |
Maths
|
An \( L C R \) circuit has \( L=10 m H, R= \)
\( 150 \Omega \) and \( C=1 \mu F \) connected in
series to a source of \( 150 \sqrt{2} \) cos \( \omega t \) volt.
At a frequency that is \( 50 \% \) of the resonant frequency, calculate the average power (in \( \boldsymbol{w} \boldsymbol{a} \boldsymbol{t} \boldsymbol{t} \) ) dissipated per
cycle.
| 3 |
Physics
|
Calculate the distance travelled by a
man walking at a speed of \( 5 \mathrm{km} / \mathrm{hr} \) in 36 minutes.
\( A \cdot 3 \mathrm{km} \)
B. \( 4 \mathrm{km} \)
\( c \cdot 5 k m \)
\( D \cdot 6 \mathrm{km} \)
| 3 |
Physics
|
Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letters. Then the number of words which have at least
one letter repeated is
A . 69760
B. 30240
c. 99748
D. None of these
| 2 |
Maths
|
A \( 1200 \mathrm{kg} \) car is braked to a stop from \( 100 \mathrm{km} / \mathrm{h} . \) If \( 60 \% \) of this energy appears in the steel brake drums, whose total mass is \( 10 \mathrm{kg} \) its temperature will rise
by \( \left(s_{\text {steel }}=450 \mathrm{J} / \mathrm{kg} \mathrm{K}\right) \)
A . \( 31.2^{\circ} \mathrm{C} \)
B. \( 61.7^{\circ} \mathrm{C} \)
c. \( 92.1^{\circ} \mathrm{C} \)
D. \( 42.1^{\circ} \mathrm{C} \)
| 3 |
Physics
|
Which of the following gases is adsorbed most by activated charcoal?
A. \( C O_{2} \)
в. \( N_{2} \)
\( \mathrm{c} \cdot \mathrm{CH}_{4} \)
D. \( H_{2} \)
| 1 |
Chemistry
|
If the standard deviation of 5,7,9 and
11 is \( 2, \) then the coefficient of variation
is?
A . 15
B . 25
c. 17
D. 19
| 2 |
Maths
|
The number of integral values of k for which the equation \( \sin ^{-1} x+ \)
\( \tan ^{-1} x=2 k+1 \) has a solutions is:
A . 1
B. 2
\( c .3 \)
D. 4
| 2 |
Maths
|
The electronegative elements between which the H-bond is formed principally in aqueous ammonia are:
A. \( O, O \)
B. \( N, N \)
\( c . O, N \)
D. Both \( O, O \) \& \( N, N \)
| 1 |
Chemistry
|
Amount of water a soil can hold against the pull of gravity is known as
A. Hygroscopic water
B. Storage capacity
c. Gravitational water
D. Field capacity
| 0 |
Biology
|
toppr
Q Type your question
electrons via the nitrogen-nitrogen
double bonds.
The azo dye obtained on reacting 4
aminophenol with nitrous acid (in
dilute hydrochloric acid) below \( 10^{\circ} \mathrm{C} \)
and coupling the resulting diazonium
salt with phenol is:
\( \mathbf{A} \)
B.
\( \mathbf{c} \)
\( D \)
| 1 |
Chemistry
|
Calculate the de Broglie wavelength associated with a helium atom in a
helium gas sample at \( 27^{\circ} \mathrm{C} \) and 1 at \( \mathrm{m} \)
pressure.
\( \mathbf{A} \cdot 7.3 \times 10^{-11} \) metre.
B . \( 3.6 \times 10^{-10} \) metre.
c. \( 7.3 \times 10^{-10} \) metre.
D. \( 3.6 \times 10^{-11} \) metre.
| 3 |
Physics
|
The value of \( \cos \left(\tan ^{-1}\left(\frac{3}{4}\right)\right) \) is
\( A \cdot \frac{4}{5} \)
B.
\( c \cdot \frac{3}{4} \)
D.
| 2 |
Maths
|
For the configuration of media of
permitivities \( \varepsilon_{o}, \varepsilon \) and \( \varepsilon_{o} \) between
parallel plates each of area \( A \), as show
in figure, the equivalent capacitance is
\( \mathbf{A} \cdot \varepsilon_{0} A / d \)
В \( \cdot \varepsilon_{0} \varepsilon A / d \)
C. \( \frac{\varepsilon_{0} \varepsilon A}{d\left(\varepsilon+\varepsilon_{0}\right)} \)
D. \( \frac{\varepsilon_{0} \varepsilon A}{\left(2 \varepsilon+\varepsilon_{0}\right)} \)
| 3 |
Physics
|
Which of the following statements are
correct?
This question has multiple correct options
A. \( \Delta H \) is -ve for exothermic reaction
B. \( \Delta H \) is +ve for exothermic reactions
C. The heat of neutralization of strong acids and strong bases is constant
D. The enthalpy of fusion is positive
| 1 |
Chemistry
|
Which of the following statements is
true about \( \boldsymbol{C a}(\boldsymbol{O H})_{2} ? \)
A. It is used in the preparation of bleaching powder
B. It is light blue solid
c. It does not process disinfectant property
D. It is used in the manufacture of cement
| 1 |
Chemistry
|
Define the term placentation.
| 0 |
Biology
|
Fuse blows because
A. There is a high voltage connected across the circuit
B. There is a high current flowing through the circuit
C. There is a high charge that has passed through the circuit
D. The effective resistance of the circuit is too high
| 3 |
Physics
|
Which of the following metal can be cut
with the knife?
A. Gold
B. Potassium
\( c . \) Iron
D. None of the above
| 1 |
Chemistry
|
The equivalent capacitance between points \( A \) and \( B \) for the given figure is
\( A \cdot 1 F \)
В. \( 2 F \)
\( c .3 F \)
2.4
| 3 |
Physics
|
In which case, a spontaneous reaction is possible at any temperature?
A. \( \Delta H-v e, \Delta S+v e \)
в. \( \Delta H-v e, \Delta S-v e \)
c. \( \Delta H+v e, \Delta S+v e \)
D. none of these
| 1 |
Chemistry
|
f a particle is executing SHM, with an amplitude \( A, \) the distance moved and the displacement of the body in a time equal to its period are
\( A \cdot 2 A, A \)
B. \( 4 A, \),
\( c \cdot A, A \)
D. \( 0,2 A \)
| 3 |
Physics
|
Balance the following equation:
\( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{A} \boldsymbol{u}^{\oplus} \longrightarrow \boldsymbol{A u}(\boldsymbol{s})+\boldsymbol{C u}^{2+} \)
\( \mathbf{A} \cdot C u(s)+2 A u^{\oplus} \longrightarrow A u(s)+C u^{2+} \)
B \( \cdot C u(s)+2 A u^{\oplus} \longrightarrow 2 A u(s)+C u^{2+} \)
\( \mathbf{c} \cdot 2 C u(s)+A u^{\oplus} \longrightarrow 2 A u(s)+2 C u^{2+} \)
D \( \cdot 2 C u(s)+A u^{\oplus} \longrightarrow 2 A u(s)+C u^{2+} \)
| 1 |
Chemistry
|
The orbital angular momentum and
angular momentum (classical
analogue) for the electron of \( 4 s \) -orbita
are respectively, equal to:
A \( \cdot \sqrt{12} \frac{h}{2 \pi} \) and \( \frac{h}{2 \pi} \)
B. zero and \( \frac{2 h}{\pi} \)
c. \( \sqrt{6} h \) and \( \frac{2 h}{\pi} \)
D. \( \sqrt{2} \frac{h}{2 \pi} \) and \( \frac{3 h}{2 \pi} \)
| 1 |
Chemistry
|
What are the suggested reasons for
population explosion?
| 0 |
Biology
|
If \( \sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}-\dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4}-\dots \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2} \) then \( x= \)
\( A \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{-1}{2} \)
D. -
| 2 |
Maths
|
What happens when some charge is placed on a soap bubble?
A. Its radius decreases
B. Its radius increases
c. The bubble collapses
D. None of the above
| 3 |
Physics
|
The tangent EF and EG are drawn from E
to the circle with centre 0. The diameter
Fl and the tangent EG, when produced,
intersect at H. If \( \angle \mathrm{IFG}=28^{\circ}, \) calculate
(a) \( \angle \mathrm{EFG} \)
(b) \( \angle \mathrm{FEG} \)
(c) \( \angle \mathrm{HGl} \)
| 2 |
Maths
|
Which part of human eye controls the amount of light entering the eye?
A. Cornea
B. Retina
c. Pupil
D. Iriss
| 3 |
Physics
|
Two convex lenses have focal lengths 10
\( \mathrm{cm} \) and \( 40 \mathrm{cm} . \) If a telescope has to be
made by using these two lenses
1. The distance between the lenses
should be \( 50 \mathrm{cm} \)
2. The distance between the lenses
should be \( 30 \mathrm{cm} \)
3. The magnifying power of this
telescope will be 5
4. An inverted image will be produced in this telescope Which two of the give are correct?
A. 1 and 4
B. 2 and 4
c. 1 and 3
D. 3 and 4
| 3 |
Physics
|
Kirchhoff's law of junction, \( \sum I=0 \), is based on
A. Conservation of energy
B. conservation of charge
c. conservation of energy as well as charge
D. conservation of momentum
| 3 |
Physics
|
The measurement of each angle of a
polygon is \( 160^{\circ} . \) The number of its sides
is?
A . 15
B. 18
c. 20
D. 30
| 2 |
Maths
|
Which of the following reagents can form a phenylhydrazone with dimethyl ketone?
\( \mathbf{A} \cdot\left[N H_{3} O H\right]^{\oplus} C l^{\ominus} \)
в. \( P h N H N H_{2} \)
c. \( N H_{2} N H C O N H_{2} \)
D. \( H C N \)
| 1 |
Chemistry
|
The distance travelled by a body during last second of its upward journey is \( \boldsymbol{d} \) when the body is projected with certain velocity vertically up. If the velocity of projection is doubled, the distance travelled by the body during the last second of its upward journey is
A \( .2 d \)
B. \( 4 d \)
c. \( \frac{d}{2} \)
D. \( d \)
| 3 |
Physics
|
Let the observations \( x_{i}(1 \leq i \leq 10) \) satisfy the equations, \( \sum_{i=1}^{10}\left(x_{i}-5\right)=10 \) and \( \sum_{i=1}^{10}\left(x_{i}-5\right)^{2}=40 . \) If \( \mu \) and \( \lambda \) are the mean and the variance of the
observations, \( x_{1}-3, x_{2}-3, \dots ., x_{10} \)
3, then the ordered pair \( (\mu, \lambda) \) is equal
to?
A . (6,6)
в. (3,6)
\( c .(3,3) \)
D. (6,3)
| 2 |
Maths
|
A vertical stick \( 12 \mathrm{m} \) long casts a
shadow \( 8 \mathrm{m} \) long on the ground. At the
same time a tower casts the shadow of
length \( 40 \mathrm{m} \) on the ground. Determine the height of the tower
| 2 |
Maths
|
A particle is moving around a circular
path with uniform angular speed ( \( \omega \) ) The radius of the circular path is \( (r) \)
The acceleration of the particle is:
A \( \cdot \frac{\omega^{2}}{r} \)
в. \( \frac{\omega}{r} \)
c. \( v \)
D. \( v r \)
| 3 |
Physics
|
The line \( x=y \) touches a circle at the
point \( (1,1) . \) If the circle also passes through the point (1,-3) then its radius is:
\begin{tabular}{l}
A \( .3 \sqrt{2} \) \\
\hline
\end{tabular}
B. 3
c. \( 2 \sqrt{2} \)
D. 2
| 2 |
Maths
|
Which of the following statement is
true?
A. Benzaldehyde is used in perfumery industry
B. Formaldehyde is used for silvering mirrors
C. Acetone is used as a commercial solvent
D. All of the above
| 1 |
Chemistry
|
Figure shows two processes \( A \) and \( B \) on
a system. Let \( \Delta Q_{1} \) and \( \Delta Q_{2} \) be the heat
given to the system in processes \( A \) and
B respectively. Then
A \( \cdot \Delta Q_{1}>\Delta Q_{2} \)
B . \( \Delta Q_{1}=\Delta Q_{2} \)
c. \( \Delta Q_{2}<\Delta Q_{2} \)
\( \mathbf{D} \cdot \Delta Q_{1}<=\Delta Q_{2} \)
| 3 |
Physics
|
Concentration of \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C l} \) and \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H} \)
in a buffer solution are in the ratio of
\( 1: 10, \mathrm{Kb} \) for \( N H_{4} O H \) is \( 10^{-10} . \) The pH of
the buffer is:
(BHU, 1994)
A .4
B. 5
\( c \cdot 9 \)
D. 1
| 1 |
Chemistry
|
If
\( (1-p)\left(1+3 x+9 x^{2}+27 x^{3}+81 x^{4}+\right. \)
\( 1-p^{6}, p \neq 1 \) then the value of \( \frac{p}{x} \) is
A \( \cdot \frac{1}{3} \)
B. 3
\( c \cdot \frac{1}{2} \)
D. 2
| 2 |
Maths
|
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