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How many following oxyacids have peroxy linkage? \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{3}, \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{5}, \boldsymbol{H} \boldsymbol{l} \boldsymbol{l} \)
| 1 |
Chemistry
|
A vector \( \bar{P}_{1} \) is along the positive \( x \) - axis.
If its cross product with another vector
\( \bar{P}_{2} \) is zero, then \( \bar{P}_{2} \) could be:
\( A \cdot 4 \hat{j} \)
в. \( -4 \hat{i} \)
c. \( (\hat{i}+\hat{k}) \)
D. \( -(\hat{i}+\hat{j}) \)
| 3 |
Physics
|
Assertion
Reed Swamp stage of hydrosere occurs in shallow water.
Reason
The stage is characterised by the presence of amphibious plants.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
| 0 |
Biology
|
A flask containing air (open to atmosphere) is heated from \( 300 K \) to
\( \mathbf{5 0 0 K} . \) The percentage of air escaped to the atmosphere is nearly?
A . 16.6
B. 40
c. 60
D. 20
| 1 |
Chemistry
|
Assertion
If the independent events \( \boldsymbol{A} \& \boldsymbol{B} \) are
such that \( \mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})< \)
1, then \( A \& B \) can not be mutually
exclusive.
Reason
Two events \( A \& B \) can not be mutually
exclusive, if \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \neq \mathbf{0} \)
A. Both Assertion \& Reason are individually true \& Reason is correct explanation of Assertion
B. Both Assertion \& Reason are individually true but Reason is not the ,correct (proper) explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
| 2 |
Maths
|
The molecules below are:
A. enantiomers
B. diastereomers
c. constitutional isomers
D. identical
| 1 |
Chemistry
|
Measure of \( \angle A \) in triangle \( \Delta A B C \) is
\( A \cdot 30^{\circ} \)
B. \( 15^{\circ} \)
\( c \cdot 20^{\circ} \)
D. \( 180^{\circ} \)
| 2 |
Maths
|
For what value of \( x, \) is the matrix \( A= \) \( \left[\begin{array}{ccc}\mathbf{0} & \mathbf{1} & \mathbf{- 1} \\ -\mathbf{1} & \mathbf{0} & \mathbf{3} \\ \boldsymbol{x} & \mathbf{- 3} & \mathbf{0}\end{array}\right] \) a skew symmetric
matrix?
| 2 |
Maths
|
A particle starts from a point \( A \) and
travels along the solid curve shown
in figure. Find approximately the position B of the particle such that the
average velocity between the position \( A \)
and \( \mathrm{B} \) has the same direction as
the instantaneous velocity at B.
A \( . x=5 m, y=3 m \)
B. \( x=3 m, y=2 m \)
c. \( x=6 m, y=2 m \)
D. \( x=5 m, y=2 m \)
| 3 |
Physics
|
\( 2- \) acetoxy benzoic acid is:
A. antiseptic
B. aspirin
c. antibiotic
D. mordant dye
| 1 |
Chemistry
|
An object is taken to height \( 2 \mathrm{R} \) above the surface of earth, the increase in potential energy is [R is radius of earth]
\( ^{\mathrm{A}} \cdot \frac{m g R}{2} \)
в. \( \frac{m g R}{3} \)
c. \( \frac{2 m g R}{3} \)
D. 2 mgR
| 3 |
Physics
|
The number of electrons, protons and
neutrons in an atom whose atomic
number is 11 and mass number 23 will
be:
A. 11,11,12
B. 11,12,11
c. 12,11,11
D. 23,11,23
| 1 |
Chemistry
|
The stabilizer used in the preparation of colloidal sol of mercury and sulphur is:
A. an ammonium salt
B. a citrate
c. \( K O H \)
D. both A and B
| 1 |
Chemistry
|
State and explain Ampere's circuital
law.
| 3 |
Physics
|
Which one of the following electrolytes used in Down's process of extracting sodium metal?
A. \( N a C l+K C l+K F \)
B. \( N a C l \)
c. \( N a O H+K C l+K F \)
D. \( N a C l+N a O H \)
| 1 |
Chemistry
|
An initially parallel cylindrical beam travels in a medium of refractive index
\( \boldsymbol{\mu}(\boldsymbol{I})=\boldsymbol{\mu}_{0}+\boldsymbol{\mu}_{2} \boldsymbol{I}, \) where \( \boldsymbol{\mu}_{0} \) and \( \boldsymbol{\mu}_{2} \)
are positive constants and lis the intensity of the light beam. The intensity of the beam is decreasing with increasing radius. The speed of light in the medium is
A. minimum on the axis of the beam
B. the same everywhere in the beam
c. directly proportional to the intensity
D. maximum on the axis of the beam
| 3 |
Physics
|
The electric potential at 0 is :
A \( \cdot \frac{\sqrt{2} q}{\pi \varepsilon_{0} a} \)
В. \( \frac{\sqrt{3} q}{\pi \varepsilon_{0} a} \)
c. \( \frac{q}{\pi \varepsilon_{0} a} \)
D. zero
| 3 |
Physics
|
If \( i=\sqrt{-1}, \) then select from the
following having the greatest value.
A \( \cdot i^{4}+i^{3}+i^{2}+i \)
B . \( i^{8}+i^{6}+i^{4}+i^{2} \)
\( \mathbf{c} \cdot i^{12}+i^{9}+i^{6}+i^{3} \)
D. \( i^{16}+i^{12}+i^{8}+i^{4} \)
E . \( i^{20}+i^{15}+i^{10}+i^{5} \)
| 2 |
Maths
|
\( H_{2} O, N O, C O \) are neutral oxides.
A. True
B. False
| 1 |
Chemistry
|
Magnification \( m= \)
This question has multiple correct options
\( \mathbf{A} \cdot \mathbf{v} / \mathbf{u} \)
B. u/v
\( \mathbf{c} \cdot h_{0} / h_{i} \)
\( \mathbf{D} \cdot h_{i} / h_{0} \)
| 3 |
Physics
|
The diagram shows four charges
\( \boldsymbol{q}_{1}, \boldsymbol{q}_{2}, \boldsymbol{q}_{3} \) and \( \boldsymbol{q}_{4} \) all lying in the plane of
the page. The diagram also shows the dotted circle that represents the cross-
section of a spherical Gaussian surface
Point \( P \) is a single point on that surface Which of the charges contributes to the net electric flux through the sphere?
A \( \cdot q_{1} \) and \( q_{3} \)
B. \( q_{2} \) and \( q_{4} \)
\( \mathbf{c} \cdot q_{1} \) and \( q_{2} \)
\( \mathbf{D} \cdot q_{3} \) and \( q_{4} \)
E \( . q_{1}, q_{2}, q_{3}, \) and \( q_{4} \)
| 3 |
Physics
|
The domain of \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\log \left(\frac{\mathbf{5} \boldsymbol{x}-\boldsymbol{x}^{2}}{\mathbf{6}}\right)} \)
is
A. \( 2 \leq x \leq 3 \)
в. \( 3 \leq x \leq 4 \)
c. \( -3 \leq x \leq-2 \)
D. \( 1 \leq x \leq 3 \)
| 2 |
Maths
|
An electric dipole coincides on the zaxis and its centre coincides with the
origin of the cartesian coordinate system. The electric field at an axial
point at a distance \( z \) from the origin is
\( E(z) \) and the electric field at an equatorial point at a distance \( y \) from
the origin is \( \boldsymbol{E}(\boldsymbol{y}) \)
Given that \( y=z>>a, \) which is true?
A. \( E(z) \) and \( E(y) \) are perpendicular
B. \( E(z) \) and \( E(y) \) are parallel
C. \( E(z) \) and \( E(y) \) are at \( 45^{\circ} \) to one another
D. None of these
| 3 |
Physics
|
A soap bubble of radius \( r_{1} \) is placed on
another soap bubble of radius \( r_{2}\left(r_{1}<\right. \)
\( r_{2} \) ). The radius \( R \) of the soapy film
separating the two bubbles is:
\( \mathbf{A} \cdot r_{1}+r_{2} \)
B . \( \sqrt{r_{1}^{2}+r_{1}^{2}} \)
c. \( \left(r_{1}^{2}+r_{1}^{2}\right) \)
D. \( \frac{r_{2} r_{1}}{r_{2}-r_{1}} \)
| 3 |
Physics
|
A solenoid of \( 0.4 m \) length with 500
turns carries a current of \( 3 A . \) A coil of
10 turns and of radius \( 0.01 m \) carries a
current of \( 0.4 A . \) The torque required to hold the coil with its axis at right angles to that of solenoid in the middle point of
it is:
A \( \cdot 6 \pi^{2} \times 10^{-7} N m \)
В. \( 3 \pi^{2} \times 10^{-7} N m \)
\( \mathbf{c} \cdot 9 \pi^{2} \times 10^{-7} N m \)
D. \( 12 \pi^{2} \times 10^{-7} N m \)
| 3 |
Physics
|
The structures of two compounds
and \( (I I) \) are given below. Which statement is correct?
\( \boldsymbol{F}_{2} \boldsymbol{C}=\boldsymbol{C}=\boldsymbol{C} \boldsymbol{F}_{2}(\boldsymbol{I}) \) and \( \boldsymbol{F}_{2} \boldsymbol{C}=\boldsymbol{C}= \)
\( \boldsymbol{C}=\boldsymbol{C} \boldsymbol{F}_{2}(\boldsymbol{I} \boldsymbol{I}) \)
A. Reductive ozonolysis of both gave the same product
B. Reductive ozonolysis of both gave different products
c. Reductive and oxidative ozonolysis of both gave different products.
D. Reductive and oxidative ozonolysis of (I) gave the same product but of \( (I I) \) gave different products.
| 1 |
Chemistry
|
Derive the equation of uniformly acceleration motion by graphical
| 3 |
Physics
|
The inductance of an inductor whose
reactance is \( 2.00 \Omega \) at \( 50.0 H z \) is \( \frac{x}{100} m H . \) Find \( x \)
| 3 |
Physics
|
The ends of the latus rectum of the
parabola \( \boldsymbol{x}^{2}+\mathbf{1 0 x}-\mathbf{1 6 y}+\mathbf{2 5}=\mathbf{0} \) are
A \( \cdot(3,4),(-13,4) \)
B. (5,-8),(-5,8)
c. (3,-4),(13,4)
D. (-3,4),(13,-4)
| 2 |
Maths
|
A planet of mass \( m \) is moving in an elliptical orbit round the sun of mass
\( M . \) If the maximum and minimum
distances of the planet from the sun be
\( l_{1} \) and \( l_{2}, \) the angular momentum of
the planet about the sun will be
A \( \cdot m \frac{G M m}{\sqrt{\left(l_{1}+l_{2}\right)}} \)
в. \( m \sqrt{\frac{l_{1}+l_{2}}{G M l_{1} l_{2}}} \)
c. \( m \sqrt{\frac{2 G M l_{1} l_{2}}{\left(l_{1}+l_{2}\right)}} \)
\( D \)
| 3 |
Physics
|
We have seen that a gamma-ray does of 3Gy is lethal to half the people exposed to it. If the equivalent energy were absorbed as heat, what rise in body temperature would result?
A. 600
B. 500
c. 700
D. 900
| 3 |
Physics
|
If the speed of light in a medium at a given temperature is \( 348 \mathrm{m} / \mathrm{s} \) at a
pressure of 2 atm. Now the pressure is increased to 5 atm, temperature remaining constant. Now the speed of sound in the same medium will be:
A. Less than \( 348 \mathrm{m} / \mathrm{s} \)
B. Greater than \( 348 \mathrm{m} / \mathrm{s} \)
c. Equal to \( 348 \mathrm{m} / \mathrm{s} \)
D. None of these
| 3 |
Physics
|
\( \int \frac{\boldsymbol{d x}}{\left(x^{2}+1\right)\left(x^{2}+4\right)}= \)
A \( \cdot \frac{1}{3} \tan ^{-1} x-\frac{1}{3} \tan ^{-1} \frac{x}{2}+c \)
B - \( \frac{1}{3} \tan ^{-1} x+\frac{1}{3} \tan ^{-1} \frac{x}{2}+c \)
c. \( \frac{1}{3} \tan ^{-1} x-\frac{1}{6} \tan ^{-1} \frac{x}{2}+c \)
\( \mathbf{D} \cdot \tan ^{-1} x-2 \tan ^{-1} \frac{x}{2}+c \)
| 2 |
Maths
|
Give the reasons of the following questions.
\( H_{2} O \) is liquid but \( H_{2} S \) is a gas at room temperature
\( N H_{3} \) has higher boiling point than \( P H_{3} \)
| 1 |
Chemistry
|
Clinging and epiphytic roots are found
in
A. Orchid
B. Tinospora
c. Rhizophora
D. Pothos
| 0 |
Biology
|
A manufacturer estimates that on
inspection \( 12 \% \) of the articles he has produced will be rejected. He accepts an
order to supply 4400 articles at Rs15 each. Calculate the least number of
articles he must manufacture) to
ensure the completion of the order
He estimates the profit on his outlay. including the manufacturing of rejected articles to be \( 20 \% \). Find the
\( \operatorname{cost} \) of manufacturing each article.
| 2 |
Maths
|
Which of the following pairs represents bactericidal antibiotic :
Erythromycin, ofloxacin, chloramphenicol, penicillin, and tetracycline
A . (i) (iii)
B. (ii) (iv)
c. (iii) (v)
D. (i) (iv)
E. (ii) (v)
| 1 |
Chemistry
|
\( 5 \mathrm{g} \) of a polymer of molar mass \( 50 k g m o l^{-1} \) is dissolved in \( 1 d m^{3} \)
solution. The height of solution \( (m m) \) that will represent its osmotic pressure if density of solution at
equilibrium is \( 0.96 \mathrm{kg} \mathrm{dm}^{-3} \) is (divide
answer by 5 and write nearest integer value).
| 1 |
Chemistry
|
A particle A with a mass \( m_{A} \) is moving
with a velocity v and hits a particle B of
mass \( m_{B} \) at rest. If motion is one
dimensional and take the collision is
elastic, then the change in the de Broglie wavelength of the particle A is
\( ^{\text {A }} \frac{h}{2 m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}-1\right] \)
в. \( \frac{h}{m_{A} v}\left[\frac{\left(m_{A}-m_{B}\right)}{\left(m_{A}+m_{B}\right)}-1\right] \)
c. \( \frac{h}{m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}-1\right] \)
D.
\[
\frac{2 h}{m_{A} v}\left[\frac{\left(m_{A}+m_{B}\right)}{\left(m_{A}-m_{B}\right)}+1\right]
\]
| 3 |
Physics
|
Write the Lewis structure of the nitrite
ion, \( N O_{2}^{-} \)
| 1 |
Chemistry
|
Which of the following arrangements represent increasing oxidation number of the central atom?
A \( \cdot C r O_{2}^{-}, C l O_{3}^{-}, C r O_{4}^{2-}, M n O_{4}^{-} \)
B . \( C l O_{3}^{-}, C r O_{4}^{2-}, M n O_{4}^{-}, C r O_{2}^{-} \)
c. \( C r O_{2}^{-}, C l O_{3}^{-}, M n O_{4}^{-}, C r O_{4}^{2-} \)
D. \( C r O_{4}^{2-}, M n O_{4}^{-}, C r O_{2}^{-}, C l O_{3}^{-} \)
| 1 |
Chemistry
|
Figure represents a negatively charged
gold leaf electroscope. Of the parts \( A, B \) C, D and E, state whether they are an
insulator or a conductor:
\( A \cdot A, B \) and \( E \) are conductors while \( D \) and \( C \) are insulators
B. B, D and E are conductors while A and C are insulators
\( c . A, D \) and \( E \) are insulators while \( B \) and \( C \) are conductors
D. A, Dand E are conductors while B and C are insulators
| 3 |
Physics
|
Which of the following is an antidiabetic drug:
A . Insulin
B. Penicillin
c. chloroquine
D. Aspirin
| 1 |
Chemistry
|
fthe matrix \( \left[\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{5} & -\mathbf{1}\end{array}\right]=\boldsymbol{A}+\boldsymbol{B}, \) where
A is symmetric and B is skew symmetric, then \( B= \)
A. \( \left[\begin{array}{cc}2 & 4 \\ 4 & -1\end{array}\right] \)
B. \( \left[\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right] \)
C \( \cdot\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right] \)
D. \( \left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right] \)
| 2 |
Maths
|
Fill in the blanks:
\( (-100) \times(-6)=\dots \dots \dots \)
| 2 |
Maths
|
Relation \( \boldsymbol{R} \) in the set \( \boldsymbol{Z} \) of all integers
defined as \( \boldsymbol{R}= \)
\[
\{(x, y):(x-y) \text { is an integer }\}
\]
enter 1 -reflexive and transitive but not
symmetric 2-reflexive only 3-Transitive only 4-Equivalence
5-None
| 2 |
Maths
|
Among the following which one gives
output 1 in the AND gate.
A. \( A=0, B=0 \)
в. \( A=1, B=1 \)
c. \( A=1, B=0 \)
D. \( A=0, B=1 \)
| 3 |
Physics
|
A stone is thrown upwards and it rises
to a height of \( 200 m \). The relative velocity of the stone with respect to the earth will be maximum at :
A. Height of \( 100 m \)
B. Height of \( 150 m \)
c. Highest point
D. The ground
| 3 |
Physics
|
Match List-I with List-II.
| 1 |
Chemistry
|
The maximum value of \( 5 e|x \log x| \) for
\( \mathbf{0}<\boldsymbol{x} \leq \mathbf{1} \) is
| 2 |
Maths
|
Q Type your question.
different oxygen pressures.
The greatest difference in oxygen
saturation between hemoglobin and
myoglobin takes place at which of the
following pressure?
partial pressure
Myoglobin
\( A \cdot 1 k P a \)
в. \( 2 k P a \)
\( c .3 k P a \)
D. \( 4 k P a \)
\( E \)
| 0 |
Biology
|
\( \mathbf{A} \)
is the sum of some set of
terms of a sequence.
A. term
B. constant
c. series
D. sequence
| 2 |
Maths
|
Sodium chloride is used in soap
industry for soap's
A. decomposition
B. removal of hardness
c. precipitation
D. None of the above
| 1 |
Chemistry
|
Find the variance for the following data:
6,4,8,5,2,17
| 2 |
Maths
|
Convert the following improper fraction into mixed fraction.
\( \frac{11}{2} \)
| 2 |
Maths
|
Solve :
\( \int \frac{x^{2}+3 x-1}{(x+1)^{2}} d x \)
| 2 |
Maths
|
Which one of the following ion exhibits colour in aqueous solution?
\( A \cdot S c^{3} \)
B. Ni2
c. \( T_{i}^{4} \)
\( D \cdot z n^{+2} \)
| 1 |
Chemistry
|
1.0 \( \mathrm{kg} \) of water is contained in a \( 1.25 \mathrm{kW} \) kettle. Calculate the time taken for the
temperature of water to rise from \( 25^{\circ} C \)
to its boiling point \( 100^{\circ} \mathrm{C} \). Specific heat
capacity of water \( =4.2 J g^{-1} K^{-1} \)
| 3 |
Physics
|
If \( \boldsymbol{A}-\boldsymbol{A}^{\prime}=\mathbf{0}, \) then \( \boldsymbol{A}^{\prime} \) is
A. orthogonal matrix
B. symmetric matrix
c. skew-symmetric matrix
D. triangular matrix
| 2 |
Maths
|
If a line makes angles \( \alpha, \beta, \gamma \) and \( \delta \) with
the diagonals of a cube, Then, \( \cos ^{2} \alpha+ \) \( \cos ^{2} \beta+\cos ^{2} \gamma+\cos ^{2} \delta=\frac{a}{b}, \) where \( a \)
and \( b \) are in lowest form, find \( a+b \)
\( A \cdot 7 \)
B. 6
c. 8
D. None of these
| 2 |
Maths
|
A bar magnet \( 20 \mathrm{cm} \) in length is placed with its south pole towards geographic north. The neutral points are situated at a distance of \( 40 \mathrm{cm} \) from centre of the
magnet. If horizontal component of earth's field \( 3.2 \times 10^{-5} T, \) then pole
strength of magnet is :
\( A \cdot 5 \mathrm{Am} \)
B. 10 Am
c. \( 45 \mathrm{Am} \)
D. 20 Am
| 3 |
Physics
|
Assertion: If the activation energy of reaction is low, it proceeds at a faster rate.
Reason: Lowering activation energy increases the kinetic energy of molecules.
A. Both Assertion and Reason are true and Reason is the 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. Assertion is false but Reason is true
E. Both Assertion and Reason are false
| 1 |
Chemistry
|
Ampullary accessory hearts are present in
A. cockroach.
B. Frog.
c. Rabbit
D. Earthworm.
| 0 |
Biology
|
One serious drawback of semi-
conductor devices is
A. they do not last for long time.
B. they are costly.
c. they cannot be used with high voltage.
D. they pollute the environment
| 3 |
Physics
|
Paracetamol is:
A. methyl salicylate
B. phenyl salicylate
c. N-acetyl p-amino phenol
D. acetyl salicylic acid
| 1 |
Chemistry
|
\( 20 \% \) of \( N_{2} O_{4} \) molecule are dissociated
in a sample of \( \operatorname{gas} \) at 27 degree \( C \) and 760 torr mixture has the density at the equilibrium
| 1 |
Chemistry
|
Which is not true for a wave?
A. Wave velocity \( v=n \lambda \)
B. Energy is transferred during wave motion
C. All waves can pass through vacuum
D. Unit of wave velocity is \( m / s \)
| 3 |
Physics
|
The chalcocite is roasted and not
calcined during recovery of copper.If true enter 1 else 0
\( A \)
| 1 |
Chemistry
|
Draw and explain the process of
formation of image with a pinhole
camera?
| 3 |
Physics
|
A solid cylinder of mass \( 20 k g \) rotates about its axis with angular speed
100rads \( ^{-1} \). The radius of the cylinder is
\( 0.25 m . \) What is the kinetic energy associated with the rotation of cylinder? What is the magnitude of angular momentum of cylinder about its axis?
A. \( 62.5 T-s \)
B. \( 70.4 T-s \)
c. \( 79.6 T-s \)
D. \( 60.5 T-s \)
| 3 |
Physics
|
\( \mu^{2}+\frac{1}{\mu^{2}}=79 \)
find \( \mu+\frac{1}{\mu} \)
| 2 |
Maths
|
The weight of a body would not be zero:
A. at the centre of the earth
B. during a free fall
c. in interplanetary space
D. at the surface of the earth
| 3 |
Physics
|
If \( f(x)=\sin ^{-1}\left\{\frac{\sqrt{3}}{2} x-\frac{1}{2} \sqrt{1-x^{2}}\right\} \)
\( -\frac{1}{2} \leq x \leq 1, \) then \( f(x) \) is equal to :
\( ^{\mathbf{A}} \cdot \sin ^{-1}\left(\frac{1}{2}\right)-\sin ^{-1}(x) \)
B \( \cdot \sin ^{-1} x-\frac{\pi}{6} \)
\( c \cdot \sin ^{-1} x+\frac{\pi}{6} \)
D. none of these
| 2 |
Maths
|
Identify \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}, \boldsymbol{D}, \boldsymbol{E}, \boldsymbol{F}, \boldsymbol{G} \)
\( \mathbf{K}_{2} \mathbf{C r}_{2} \mathbf{O}_{7} \stackrel{\mathbf{K O H}}{\longrightarrow}(\mathbf{A}) \frac{\mathbf{P} \mathbf{b}\left(\mathbf{C H}_{3} \mathbf{C O O}\right)_{2}}{\mathbf{C H}_{3} \mathbf{C O O H}}>(\mathbf{B}) \)
\( \mathbf{N H}_{4} \mathbf{C l} \)
\( (\mathrm{C}) \stackrel{\Delta}{\longrightarrow}(\mathrm{D})+(\mathrm{E}) \)
(gas) (green) \( \frac{|\mathbf{A}|, \Delta}{\mid} \)
(F) (metal) \( +(G) \) oxide
| 1 |
Chemistry
|
The correct form and the percentage of
\( C O_{2} \) carried by the blood in man is
A. Carboxyhaemoglobin- 70 \%
B. Bicarbonates - 30 \%
c. Dissolved gas in plasma- 3 \%
D. Bicarbonates - 70 \%
| 0 |
Biology
|
What are the two numbers whose sum
is 58 and difference is \( 28 ? \)
| 2 |
Maths
|
Predict the sign of \( \Delta S \) for each of the following processes, which occur at
constant temperature:
I. The volume of 2 mol of \( O_{2}(g) \)
increases from \( 44 L \) to \( 54 L \)
II. The pressure of 2 mil of \( O_{2}(g) \)
increases from 1 atm to 1.2 atm.
A \( \cdot(I) \rightarrow \Delta S=-v e ;(I I) \rightarrow \Delta S=-v e \)
в. \( (I) \rightarrow \Delta S=-v e ;(I I) \rightarrow \Delta S=+v e \)
c. \( (I) \rightarrow \Delta S=+v e ;(I I) \rightarrow \Delta S=-v e \)
D. \( (I) \rightarrow \Delta S=+v e ;(I I) \rightarrow \Delta S=+v e \)
| 1 |
Chemistry
|
A solenoid of \( 0.4 \mathrm{m} \) length with 500 turns carries a current of \( 3 \mathrm{A} \). A coil of 10
turns and of radius \( 0.01 \mathrm{m} \) carries a
current of 0.4 A. The torque required to hold the coil with its axis at right angle to that of the solenoid in the middle part
of it, is:
A \( \cdot 6 \pi^{2} \times 10^{-7} N m \)
В. \( 3 \pi^{2} \times 10^{-7} \mathrm{Nm} \)
c. \( 9 \pi^{2} \times 10^{-7} N m \)
D. \( 12 \pi^{2} \times 10^{-7} \mathrm{Nm} \)
| 3 |
Physics
|
The equations of \( L_{1} \) and \( L_{2} \) are \( y=m x \)
and \( \boldsymbol{y}=\boldsymbol{n} \boldsymbol{x}, \) respectively. Suppose \( \boldsymbol{L}_{\mathbf{1}} \)
makes twice as large of an angle with the horizontal(measured
counterclockwise from the positive \( x- \)
axis) as does \( L_{2} \) and that \( L_{1} \) has 4
times the slope of \( L_{2} . \) If \( L_{1} \) is not
horizontal, then the value of the
product(mn) equals.
\( A \cdot \frac{\sqrt{2}}{2} \)
B. \( -\frac{\sqrt{2}}{2} \)
c. 2
D. -2
| 2 |
Maths
|
Ali purchased a printer for \( R s .80,000 \)
After spending \( R s .5000 \) on repair and
Rs.1000 on a new part, he sold it at
\( 25 \% \) profit. At what price did he sell the printer?
A. \( R s .1,07,000 \)
в. \( R s .1,07,500 \)
c. \( R s .1,08,500 \)
D. Rs.2, 09,200
| 2 |
Maths
|
Fill in the blank:
1 light year \( =9.4607 \times-\dots \)
\( \mathbf{A} \cdot 10^{15} \)
B . \( 10^{-15} \)
\( c \cdot 10^{12} \)
D. \( 10^{2} \)
| 3 |
Physics
|
State S.I. unit of angular momentum
Obtain its dimensions.
| 3 |
Physics
|
A concave mirror forms the image of an
object on a screen. If the lower half of
the mirror is covered with an opaque
card, the effect would be to make the
A. image less bright.
B. lower half of the image disappear.
c. upper half of the image disappear.
D. image blurred.
| 3 |
Physics
|
Why fluorine shows anomalous
behaviour as compared to other halogens?
| 1 |
Chemistry
|
Which of the following is true in the case of a reversible process:
A. There will be energy loss due to friction
B. System and surroundings will not be in thermodynamic equilibrium
c. Both system and surroundings retain their initial states
D. Both A and C
| 3 |
Physics
|
Thermal power plants make use of:
A. fast flowing water
B. uranium and thorium
C. coal, petroleum and natural gas
D. none of these
| 1 |
Chemistry
|
If \( f(x)=\sin x \) and \( g(x)=\cos x \) then
\( D *(f \circ g) \) is equal to
\( \mathbf{A} \cdot-\sin 2(\cos x) \sin x \)
B. - sin (cos \( x \) ) \( \sin x \)
c. \( -\sin ^{2}(\cos x) \sin x \)
D. \( -\sin (\cos x) \sin ^{2} x \)
| 2 |
Maths
|
Which of the following petroleum product is used for dry cleaning?
A . Grease
B. Kerosene
c. Diesel
D. Petrol
| 1 |
Chemistry
|
The number of continuous functions on
R which satisfy \( (f(x))^{2}=x^{2} \) for all \( x \in \)
\( \boldsymbol{R} \) is
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 4 \)
D. 8
| 2 |
Maths
|
In the velocity-time graph, the distance travelled by the particle between 1.0 sec
and 4.0 sec, is approximately
\( A \cdot 50 m \)
B. \( 40 \mathrm{m} \)
\( c \cdot 30 m \)
D. 20 \( m \)
| 3 |
Physics
|
Six boys and girls sit in a row randomly Find the probability that the six girls sit together.
A \( \cdot p=\frac{1}{95040} \)
B. \( _{p}=\frac{1}{132} \)
c. \( _{p}=\frac{1}{924} \)
D. \( p=\frac{1}{66} \)
| 2 |
Maths
|
Who discovered Braille system?
A. Franklin Braille
B. Stephen Braille
C. Louis Braille
D. Peter Braille
| 3 |
Physics
|
In the adjoining figure, \( \angle A P O=42^{\circ} \)
and \( \angle C Q O=38^{\circ} . \) Find the value of \( \angle \)
POQ.
\( \mathbf{A} \cdot 68^{\circ} \)
B. \( 72^{\circ} \)
\( c \cdot 80^{\circ} \)
D. \( 126^{\circ} \)
| 2 |
Maths
|
The number of \( \pi \) -bonds and \( \sigma \) -bonds in
the Lewis structure of \( S O_{3} \) is :
A \( .3 \sigma, 1 \pi \)
в. \( 3 \sigma, 2 \pi \)
c. \( 3 \sigma, 3 \pi \)
D. None of these
| 1 |
Chemistry
|
A person is suffering from long standing constipation. It is likely that
A. His intestinal bacteria will get killed by poisonous gases produced by accumulated faeces.
B. He will suffer from piles.
C. He will feel severe pain in the stomach due to accumulated faeces.
D. He will suffer from vitamin B deficiency as its absorption is inhibited.
| 0 |
Biology
|
Which one of the following hormone never reaches to cytoplasm?
A. Estrogen
B. FSH
c. Progesterone
D. Testosterone
| 0 |
Biology
|
\( \int_{0}^{\pi} \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{d} \boldsymbol{x}= \)
A \( \cdot \frac{4}{\pi} \)
в. \( \frac{8}{\pi} \)
\( c \cdot \frac{8}{\pi^{2}} \)
D.
| 2 |
Maths
|
A long circular tube of length \( 10 m \) and
radius \( 0.3 \mathrm{m} \) carries a current I along its curved surface as shown. A wire-loop of resistance 0.0005 ohm and of radius 0.1
\( \mathrm{m} \) is placed inside the tube with its axis coinciding with the axis of the tube. The
current varies as \( \boldsymbol{I}=\boldsymbol{I}_{0} \cos (\boldsymbol{3} \boldsymbol{0} \boldsymbol{0} \boldsymbol{t}) \)
where \( I_{0} \) is constant. If the magnetic
moment of the loop is \( N \mu_{0} I_{0} \sin (300 t) \)
then 'N' is
| 3 |
Physics
|
Oxygen is not evolved when :
This question has multiple correct options
A. potassium chlorate is heated.
B. sodium peroxide reacts with water.
c. ammonium nitrate is heated.
D. zinc oxide is treated with NaOH.
| 1 |
Chemistry
|
The distance between the origin and the centroid of the tetrahedron whose vertices are \( (\mathbf{0}, \mathbf{0}, \mathbf{0}) \)
\( (a, 0,0),(0, b, 0),(0,0, c) \) is?
A \( \cdot \sqrt{a^{2}+b^{2}+c^{2}} \)
B. \( \frac{\sqrt{a^{2}+b^{2}+c^{2}}}{2} \)
c. \( \frac{\sqrt{a^{2}+b^{2}+c^{2}}}{4} \)
D. \( 4 \sqrt{a^{2}+b^{2}+c^{2}} \)
| 2 |
Maths
|
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