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In order to extract isobutyric acid from a solution of diethyl ether, one should wash the solution with:
A. one \( 30 m L \) wash of water
B. three \( 10 m L \) washes of water
c. one \( 30 m L \) wash of hexane
D. three \( 10 m L \) washes of hexane
| 1 |
Chemistry
|
A solid cylinder and a hollow cylinder of the same mass and radius, both
initially at rest, roll down the same inclined plane without slipping. Choose the correct options. This question has multiple correct options
A. The hollow cylinder reaches the bottom first
B. The solid cylinder reaches the bottom first
c. The two cylinder reach the bottom together
D. Their kinetic energies at the bottom are equal.
| 3 |
Physics
|
\( \tan \left(\rho \frac{\pi}{4}\right)=\cot \left(q \frac{\pi}{4}\right) \)
A \( . \rho+q=0 \)
В \( \cdot \rho+q=2 n+1 \)
c. \( \rho+q=2 n \)
D \( \cdot \rho+q=2(2 n+1) \)
| 2 |
Maths
|
Find the coordinates of those points on the line \( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{2}}=\frac{\boldsymbol{y}+\mathbf{2}}{\mathbf{3}}=\frac{\boldsymbol{z}-\mathbf{3}}{\mathbf{6}} \) which
is at a distance of 3 units from the point
(1,-2,3)
| 2 |
Maths
|
When a ball is thrown up, the
magnitude of its momentum decreases
and then increases. Does this violate
the conservation of momentum
principle?
| 3 |
Physics
|
If the distance between the parallel lines given by \( x^{2}+2 x y+y^{2}-9 a^{2}=0 \)
is \( 90 \sqrt{2} \) then \( a \) is equal to
| 2 |
Maths
|
It is known that \( \sin \beta=\frac{4}{5} \& 0<\beta<\pi \)
then the value of
\( \frac{\sqrt{\mathbf{3}} \sin (\boldsymbol{\alpha}+\boldsymbol{\beta})-\frac{\mathbf{2}}{\mathbf{c o s}} \frac{\boldsymbol{\pi}}{\mathbf{6}} \cos (\boldsymbol{\alpha}+\boldsymbol{\beta})}{\sin \boldsymbol{\alpha}} \)
A. independent of \( \alpha \) for all \( \beta \) in \( (0, \pi) \)
В. \( \frac{5}{\sqrt{3}} \) for \( \tan \beta<0 \)
c. \( \frac{\sqrt{3}(7+24 \cot \alpha)}{15} \) for \( \tan \beta>0 \)
\( D . \) none
| 2 |
Maths
|
Which of the following element is expected to have highest electron gain enthalpy:
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{3} \)
c. \( 1 s^{2} 2 s^{2} 2 p^{4} \)
D \( \cdot 1 s^{2} 2 s^{2} 2 p^{5} \)
| 1 |
Chemistry
|
Two wires carry currents of \( 100 A \) and
\( 200 A \) respectively and they repel each other with a force of \( 0.4 N / m . \) The distance between them will be
A . \( 1 m \)
B. \( 1 \mathrm{cm} \)
\( c .50 \mathrm{cm} \)
D. \( 25 \mathrm{cm} \)
| 3 |
Physics
|
During bleaching action, \( \mathbf{S O}_{2} \) converts
into
\( A \cdot S O_{3} \)
в. \( \mathrm{H}_{2} \mathrm{SO}_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{4} \)
D. \( \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{7} \)
| 1 |
Chemistry
|
For a metallic wire, the ratio of voltage
to corresponding current is?
A. Independent of temperature
B. Increases with rise in temperature
C. Increases or decreases with rise in temperature depending upon the metal
D. Decreases with rise in temperature
| 3 |
Physics
|
2-acetoxybenzoic acid is used as:
A. antiseptic
B. antidepressant
c. antimalaria
D. antipyretic
| 1 |
Chemistry
|
Which of the following alkenes gives
only ketones on ozonolysis?
\( A \)
B.
c.
D. \( \mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_{3} \)
| 1 |
Chemistry
|
\( b \)
\( d \)
\( d \)
\( y \)
| 1 |
Chemistry
|
If \( \int \frac{d x}{(x+2)\left(x^{2}+1\right)}=a \ln \left(1+x^{2}\right)+ \)
\( b \tan ^{-1} x+\frac{1}{5} \ln |x+2|+C \) then
A. \( a=-\frac{1}{10}, b=-\frac{2}{5} \)
B. \( a=\frac{1}{10}, b=\frac{2}{5} \)
c. \( a=-\frac{1}{10}, b=\frac{2}{5} \)
D. \( a=\frac{1}{10}, b=-\frac{2}{5} \)
| 2 |
Maths
|
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5} & \mathbf{6} \\ \mathbf{7} & \mathbf{1} & \mathbf{0}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{0} & \mathbf{3} & \mathbf{0} \\ \mathbf{0} & \mathbf{4} & \mathbf{5}\end{array}\right] \)
\( , \operatorname{Tr}(\mathrm{BA})=\dots \)
A. 40
в. 45
\( c .39 \)
\( D \)
| 2 |
Maths
|
State whether true or false:
The angle of incidence is always smaller than angle of refraction when a ray travels from air to glass, at an oblique angle
A. True
B. False
| 3 |
Physics
|
In electroplating, the metal to be used for coating is made the
A. Cathode (negative electrode)
B. Anode(positive electrode)
c. cathode(positive electrode)
D. Anode(negative electrode)
| 3 |
Physics
|
The oxidation state of cobalt in the
following molecule is:
\( A \cdot 3 \)
B.
\( c \cdot 2 \)
\( D \)
| 1 |
Chemistry
|
The resistance of a metal increases
with the increase of temperature due to
A. Number of electrons
B. Velocity of electrons
c. Scattering of electrons with core ions
D. Thermal motion of core ions
| 3 |
Physics
|
The solubility of alcohols in water gradually increases with molecular weight
A. True
B. False
| 1 |
Chemistry
|
Ductility of a metal can be stated as:
A. the property to produce sound on striking
B. the property to have shiny surface
C. the property to be drawn into wires
D. the property to conduct heat and electricity.
| 1 |
Chemistry
|
Which of the following gates corresponds to the truth table given below?
\( A B Y \)
\[
\begin{array}{ccc}
1 & 1 & 0 \\
1 & 0 & 1 \\
0 & 1 & 1
\end{array}
\]
\( 0 \quad 0 \quad 1 \)
A. xor
в. ок
c. NAND
D. NOR
| 3 |
Physics
|
The orange solution of \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) turns
yellow on adding NaOH to it .If true enter
else 0
\( A \)
| 1 |
Chemistry
|
\( \operatorname{Let} \alpha(a) \) and \( \beta(a) \) be the roots of the
equation \( (\sqrt[3]{1+a}-1) x^{2}+(\sqrt{1+a}- \)
1) \( x+(\sqrt[6]{1+a}-1)=0 \) where \( a>-1 \)
Then \( \lim _{a \rightarrow 0^{+}} \alpha(a) \) and \( \lim _{a \rightarrow 0^{+}} \beta(a) \) are
A \( \cdot-\frac{5}{2} \) and 1
B. \( -\frac{1}{2} \) and -1
\( c \cdot-\frac{7}{2} \) and 2
D. \( -\frac{9}{2} \) and 3
| 2 |
Maths
|
Assign the IUPAC names for the given compounds:
| 1 |
Chemistry
|
\( \operatorname{Let} f(x)=\left\{\begin{aligned} a x+1, & x<1 \\ 3, & x=1 . \text { The valu } \\ b x^{2}+1, & x>1 \end{aligned}\right. \)
of \( ^{\prime} a^{\prime} \) and \( ^{\prime} b^{\prime} \) for which \( f(x) \) is
continuous at \( x=1 \), is given by
A .2,2
в. 1,2
\( c .3,2 \)
D. \( 1, \)
| 2 |
Maths
|
A ray of light \( O P \) passes through a right
angled prism as shown in the adjacent
diagram. State the angles of incidence at the faces \( A C \) and \( B C . \) Given critical
angle is \( 42^{\circ} \)
A . Angle of incidence at the face \( A C=45^{\circ} \) and angle of
incidence at the face \( B C=90^{\circ} \)
B. Angle of incidence at the face \( A C=90^{\circ} \) and angle of
incidence at the face \( B C=45^{\circ} \)
C. Angle of incidence at the face \( A C=45^{\circ} \) and angle of
incidence at the face \( B C=0^{\circ} \)
D. Angle of incidence at the face \( A C=0^{\circ} \) and angle of
incidence at the face \( B C=45^{\circ} \)
| 3 |
Physics
|
The velocity-time graph of a particle in one-dimensional motion is shown in the
figure. Which of the following formulae
is correct for describing the motion of
the particle over the time interval \( t_{1} \) to
\( t_{2} ? \)
A \( \cdot x\left(t_{2}\right)=x\left(t_{1}\right)+v\left(t_{1}\right)\left(t_{2}-t_{1}\right)+\left(\frac{1}{2}\right) a\left(t_{2}-t_{1}\right)^{2} \)
B \( \cdot v\left(t_{2}\right)=v\left(t_{1}\right)+a\left(t_{2}-t_{1}\right) \)
C \( \cdot v_{\text {average }}=\frac{\left(x\left(t_{2}\right)-x\left(t_{1}\right)\right)}{\left(t_{2}-t_{1}\right)} \)
D. \( a_{\text {average}}=\frac{\left(v\left(t_{t}\right)+v\left(t_{1}\right)\right)}{\left(t_{2}-t_{1}\right)} \)
| 3 |
Physics
|
For the manufacture of cement various
steps are given below. Arrange the steps in a proper sequence.
(a) Clinker formation
Crushing
(c) Addition of gypsum Mixing of raw materials
(e) Grinding to fine powder Calcination in rotary kiln
\( A \cdot d b f a c e \)
B. \( b d f \) c e a
c. \( d c \) a fe \( b \)
D. a b c de f
| 1 |
Chemistry
|
Draw Venn diagrams to illustrate \( (\boldsymbol{A} \mid \)
\( \boldsymbol{B}) \cup(\boldsymbol{A} \backslash \boldsymbol{C}) \)
| 2 |
Maths
|
A concave lens of focal length \( \boldsymbol{f} \) produces an image \( (1 / n) \) times the size of the object. The distance of the object from the lens is
A \( \cdot(n+1) f \)
в. \( \frac{(n-1)}{n} f \)
c. \( \frac{(n+1)}{n} f \)
D. \( (n-1) f \)
| 3 |
Physics
|
Write balanced chemical equations to
show:
The dehydrating property of conc. Sulphuric acid with sugar.
| 1 |
Chemistry
|
A circular racket of radius \( 300 \mathrm{m} \) is
backed at an angle of \( 15^{0} \). The
coefficient of friction between the
wheels of a race car and the road is 0.2
the maximum permissible speed to avoid slipping is ( Take \( \left.\tan 15^{0}=0.27, g=10 m s^{-2}\right) \)
\( \mathbf{A} \cdot 18.6 \mathrm{ms}^{-1} \)
B. 28.6 \( m s^{-1} \)
c. \( 38.6 \mathrm{ms}^{-1} \)
D. \( 48.6 \mathrm{ms}^{-1} \)
| 3 |
Physics
|
The number of students absent in a
class were recorded for 120 days and the information is given in the following frequency table:
No. of students absent
\( x \)
No. of
\[
\operatorname{days}(f)
\]
50
Find the mean number of students
absent per day.
| 2 |
Maths
|
Enthalpy of sublimation of a substance
is equal to :
A. Enthalpy of fusion + enthalpy of vapourisation
B. Enthalpy of fusion
c. Enthalpy of vapourisation
D. Twice the enthalpy of vapourisation
| 1 |
Chemistry
|
The protein coat of virus is called
A. capsid
B. cosmid
c. capsomere
D. Chromophore
| 0 |
Biology
|
Metals which can be obtained by carbon reduction of their oxides are
This question has multiple correct options
A. cu
B. Fe
c. \( A l \)
D. Pb
| 1 |
Chemistry
|
Explain some harmful effects of agricultural practices on the environment.
| 0 |
Biology
|
For a binary liquid solution obeying Raoult's law at \( 300 K \)
\( \boldsymbol{X}_{\boldsymbol{A}}=\mathbf{0 . 7 5}, \) Given: \( \boldsymbol{P}_{\boldsymbol{A}}^{\boldsymbol{o}}= \)
\( 400 m m H g ; P_{B}^{o}=600 m m H g \)
Then select correct statement
This question has multiple correct options
A. Vapour pressure of solution will be \( 450 \mathrm{mm} \mathrm{Hg} \)
B. In distillate mol fration of \( B \) will be \( 2 / 3 \)
c. If distillate is removed \( \& \) condensed then it is redistilled, then mole fraction of \( A \) in \( I I \) distillate is \( 4 / 7 \)
D. Normal boiling point of liquid solution should be more than \( 300 K \)
| 1 |
Chemistry
|
Three charges \( -q,+q \) and \( -q \) are
placed at the corners of an equilateral triangle of side a. The resultant electric force on a charge \( +\boldsymbol{q} \) placed at the centroid 0 of the triangle is:
A \( \cdot \frac{3 q^{2}}{4 \pi \varepsilon_{0} a^{2}} \)
в. \( \frac{q^{2}}{4 \pi \varepsilon_{0} a^{2}} \)
c. \( \frac{q^{2}}{2 \pi \varepsilon_{0} a^{2}} \)
D. \( \frac{3 q^{2}}{2 \pi \varepsilon_{0} a^{2}} \)
| 3 |
Physics
|
Fluid friction is exerted by
A. solids and liquids
B. solids and gases
c. liquids and gases
D. all the above
| 3 |
Physics
|
What happens when \( \left(N H_{4}\right)_{2} C r_{2} O_{7} \) is
heated?
| 1 |
Chemistry
|
A parallel plate capacitor having plates
of area \( \mathrm{S} \) and plate separation \( \mathrm{d}, \) has
capacitance \( C_{1} \) in air. When two
dielectrics of different relative
permittivities \( \left(\varepsilon_{1}=2 \text { and } \varepsilon_{2}=4\right) \) are
introduced between the two plates as
shown in the figure, the capacitance becomes \( C_{2} . \) The ratio \( \frac{C_{2}}{C_{1}} \) is
A . \( 6 / 5 \)
B. \( 5 / 3 \)
\( c \cdot 7 / 5 \)
\( 0.7 / 3 \)
| 3 |
Physics
|
Three types of tissue systems namely epidermal, fundamental, \& vascular,
were proposed by
A. Hanstein
B. Buvat
c. sachs
D. Nageli
| 0 |
Biology
|
f \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{4} \\ -\mathbf{1} & \mathbf{1}\end{array}\right] \) Find \( \boldsymbol{A}^{2} \)
| 2 |
Maths
|
\( \left|\begin{array}{ccc}\text { If } & \\ \cos (\boldsymbol{A}+\boldsymbol{B}) & -\sin (\boldsymbol{A}+\boldsymbol{B}) & \cos 2 \boldsymbol{B} \\ \sin \boldsymbol{\operatorname { s o s }} \boldsymbol{\operatorname { s i n }} \boldsymbol{A} & \boldsymbol{\operatorname { s i n } \boldsymbol { \operatorname { m o s } }}\end{array}\right| \)
\( =0 \) then \( B= \)
\( A \cdot(2 n+1) \frac{\pi}{2} \)
B. \( n \pi \)
\( c \cdot(2 n+1) \pi \)
D. 2 nn
| 2 |
Maths
|
Find the maximum and minimum value
of the function:
\( f(x)=2 x^{3}-21 x^{2}+36 x-20 \)
| 2 |
Maths
|
Male gametes are flagellated in
A. Ectocarpus.
B. Spirogyra.
c. Polysiphonia.
D. Anabaena.
| 0 |
Biology
|
Write down ten positive rational numbers such that the sum of the
numerator and the denominator of each
is
11. Write them in decreasing order
| 2 |
Maths
|
A block of mass \( 2 \mathrm{kg} \) is pushed against a rough vertical wall with a force of \( 40 \mathrm{N} \) coefficient of static friction being 0.5
Another horizontal force of \( 15 \mathrm{N} \), is
applied on the block in a direction
parallel to the wall. If the block will move, then its direction would be:
B. \( 53^{\circ} \) with \( 15 N \) force
C. \( 45^{\circ} \) with \( 15 N \) force
D. 75 \( ^{\circ} \) with 15N force
| 3 |
Physics
|
The coordinates of a point, which lies on \( y \) -axis and is at a distance of 4 units
above \( x \) -axis is
A \( .(0,4) \)
в. (4,4)
c. (4,0)
D. (0,-4)
| 2 |
Maths
|
Which pair in the following has maximum and minimum ionic
character respectively?
A. \( L i C l, R b C l \)
в. \( R b C l, \) Ве \( C l_{2} \)
c. \( B e C l_{2}, R b C l \)
D. \( A g C l, R b C l \)
| 1 |
Chemistry
|
The equilibrium constant for the reaction
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{S}(s) \rightleftharpoons \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g}) \)
is 18.5 at \( 925 K \) and 9.25 at \( 1000 K \)
respectively. Calculate the enthalpy of
the reaction.
| 1 |
Chemistry
|
Myopia is due to
A. Elongation of the eye ball
B. Excessive curvature of the cornea
C. Both A and B
D. None of the above
| 3 |
Physics
|
Assertion
The point \( \boldsymbol{A}(\boldsymbol{3}, \boldsymbol{1}, \boldsymbol{6}) \) is the mirror image
of the point \( B(1,3,4) \) in the plane \( x- \)
\( \boldsymbol{y}+\boldsymbol{z}=\mathbf{5} \)
Reason
The plane \( x-y+z=5 \) bisects the line
segment joining \( \boldsymbol{A}(\mathbf{3}, \mathbf{1}, \boldsymbol{6}) \) and
\( \boldsymbol{B}(\mathbf{1}, \boldsymbol{3}, \boldsymbol{4}) \)
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
| 2 |
Maths
|
Assertion
A ray of light is incident from outside on
a glass sphere surrounded by air. This ray may suffer total internal reflection
at second interface.
Reason
If a ray of light goes from denser to rarer
medium, it bends away from the
normal.
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
| 3 |
Physics
|
Fill in the blanks.
Dry nitrogen gas cannot be collected by the displacement of
| 1 |
Chemistry
|
The oxidation number of Phosphorus in
\( M g_{2} P_{2} O_{7} \) is:
\( A \cdot+3 \)
\( B .+2 \)
\( c \cdot+5 \)
\( D \cdot-3 \)
| 1 |
Chemistry
|
Which of the following compound is more acidic?
A. ethyne
B. propene
c. ethene
D. propane
| 1 |
Chemistry
|
Q Type your question-
connected to a fixed vertical wall and
the other end has a block of mass \( \mathrm{m} \)
initially at rest on a smooth horizontal
surface. The spring is initially in natural length. Now a horizontal force F acts on the block as shown. Then the maximum
extension in spring is equal to the maximum compression in the spring.
Reason
To compress and to expand an ideal unstretched spring by equal amount, same work is to be done on the spring.
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. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
\( \operatorname{Let} f(x)=\sin ^{-1} \sin x+ \)
\( \cos ^{-1} \cos x, \quad g(x)= \)
\( m x \quad \) and \( \quad h(x)=x \) are three
functions. Now \( g(x) \) divided area
between \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{x}=\boldsymbol{\pi} \) and \( \boldsymbol{y}=\boldsymbol{0} \) into two
equal parts. The value of m is:
A \( \cdot \frac{1}{4} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{5}{4} \)
D. \( \frac{7}{4} \)
| 2 |
Maths
|
The velocity of a kerosene oil in a
horizontal pipe is \( 5 m / s . \) If \( g=10 m / s^{2} \)
then the velocity head of oil will be
\( \mathbf{A} \cdot 1.25 m \)
B. \( 12.5 m \)
c. \( 0.125 m \)
D. \( 125 m \)
| 3 |
Physics
|
\( \operatorname{Let} \frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}=\ln \sqrt{\frac{1+x}{1-x}}, \) then find \( x \)
| 2 |
Maths
|
A ball resting on a tray attached to a spring is made to oscillate vertically, such that the fixed end of the spring is attached to the ground. If the spring is compressed and let go, the ball will execute SHM until
A. the ball is in contact with the spring
B. the ball occasionally loses contact with the spring
c. the ball loses contact with the spring beyond the mean position
D. the ball loses contact with the spring beyond the extreme position
| 3 |
Physics
|
n \( \Delta P Q R \) are the mid points of side \( A B \)
BC and AC respectively. PQ and QR are
joined. Prove that BRQP is a
parallelogram
| 2 |
Maths
|
Assertion
Separation of isotope is possible because of the difference in electron
numbers of isotope.
Reason
Isotope of an element can be separated by using a mass spectrometer
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. Reason is correct but Assertion is incorrect
| 3 |
Physics
|
Two bodies having the same mass, \( 2 \mathrm{kg} \)
each have different surface areas \( 50 \mathrm{m}^{2} \)
and \( 100 \mathrm{m}^{2} \) in contact with a horizontal
plane. If the coefficient of friction is 0.2 the forces of friction that come into play when they are in motion will be in the ratio.
A . 1:
B. 1: 2
c. 2: 1
D. 1: 4
| 3 |
Physics
|
The points \( (-2,-1),(1,0),(4,3), \) and (1,2) are the vertices
A. Parallelogram
B. Rectangle
c. square
D. Both (1) \& (2)
| 2 |
Maths
|
In the circuit shown in the figure, ammeter and voltmeter are ideal. If
\( E=4 V \) and \( R=15 \Omega \) and \( r=1 \Omega, \) then
the reading of the ammeter is
A \( \cdot \frac{1}{3} A \)
\( B \cdot \frac{2}{3} A \)
\( c \cdot 1 A \)
D. \( \frac{1}{4} A \)
| 3 |
Physics
|
Choose the wrong statement about subspecies.
A. They do not interbreed with individual of other subspecies
B. They are new species in the making
c. Geographically isolated populations of a species
D. They show minor variations from parent population
| 0 |
Biology
|
Kiran purchase a house for \( R s 7,45,000 . \) He spent \( R s 30,000 \) on
repairs and painting. Then sold it for
Rs 9 lakhs. Find his profit in
percentage.
| 2 |
Maths
|
What is the sum of two numbers?
I. The bigger of these two numbers is 6 more than the smaller number.
II. \( 40 \% \) of the smaller number is equal to \( 30 \% \) of the bigger number.
III. The ratio between half of the bigger number and one-third of the smaller
number is 2: 1
A. Only II and III are sufficient
B. Only I and II are sufficient
c. I and either II or III is sufficient
D. All, II and III together are sufficient
| 2 |
Maths
|
A heat engine operating between 227 \( \operatorname{deg} \mathrm{C} \) and 27 deg \( \mathrm{C} \) absorbs 1 kcal of heat from the 227 deg \( C \) reservoir per cycle. Calculate
(1) the amount of heat discharged into
the low temperature reservoir.
(2) the amount of work done per cycle.
(3) the efficiency of cycle.
A. 0.4 kcal, 0.6 kcal, 40\%
B. 0.6 kcal, 0.4 kcal, 40\%
c. 0.4 kcal, 0.6 kcal, \( 60 \% \)
D. 0.7 kcal, 0.4 kcal, 40\%
| 1 |
Chemistry
|
Three resistances are connected to form
a \( T \) -shape as shown in the figure. Then
the current in the \( 4 \mathrm{K} \) resistor is :
A. \( 0.93 \mathrm{mA} \)
B. \( 1.42 \mathrm{mA} \)
c. \( 2.5 \mathrm{mA} \)
D. 1.57 m
| 3 |
Physics
|
In Cockroach, the common duct of salivary reservoir opens at the base of
A. Pharynx
B. Maxilla
c. Mandible
D. Hypopharynx
| 0 |
Biology
|
Total diastereomeric and enantiomeric
pairs possible from respectively are:-
\( \boldsymbol{C H}_{3}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{3} \)
\( \boldsymbol{C l} \)
A . 2,2
B. 2,4
c. 2,3
D. 4,2
| 1 |
Chemistry
|
Write IUPAC name and chemical
formula of Acetone.
| 1 |
Chemistry
|
Number of unpaired electrons in inert gas is:
A. 0
B. 8
\( c \cdot 4 \)
D. 18
| 1 |
Chemistry
|
Analyze the mass spectrum graph.
Calculate the average atomic mass of
the unknown element:
\( A \cdot 10.2 a m \)
B. 10.5 amu
D. 11.0 amu
| 1 |
Chemistry
|
A line OP where \( 0=(0,0,0) \) makes
equal angles with ox, oy, oz. The point on OP, which is at a distance of 6 units
from 0 is:
A. \( \left(\frac{6}{\sqrt{3}}, \frac{6}{\sqrt{3}}, \frac{6}{\sqrt{3}}\right) \)
B . \( (2 \sqrt{3},-2 \sqrt{3}, 2 \sqrt{3}) \)
\( c \cdot-(2 \sqrt{3}, 2 \sqrt{3}, 2 \sqrt{3}) \)
| 2 |
Maths
|
A neutral atom of an element has \( 2 \mathrm{K}, 8 \mathrm{L} \)
and \( 5 \mathrm{M} \) electrons. What is the total
number of unpaired electrons?
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
| 1 |
Chemistry
|
Consider the following reactions. In which case the formation of product is favoured by decrease in pressure?
(1) \( \boldsymbol{C O}_{2}(\boldsymbol{g})+\boldsymbol{C}(\boldsymbol{s}) \rightarrow \boldsymbol{2} \boldsymbol{C O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( +172.5 \mathrm{kJ} \)
(2) \( N_{2}(g)+3 H_{2}(g) \rightarrow 2 N H_{3}(g) \)
\( \Delta \boldsymbol{H}=-\mathbf{9 1 . 8} \mathbf{k} \mathbf{J} \)
(3) \( N_{2}(g)+O_{2}(g) \rightarrow 2 N O(g) ; \Delta H= \)
\( +181 k J \)
\( (4) 2 H_{2} O(g) \rightarrow 2 H_{2}(g)+ \)
\( \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}=\mathbf{4 8 4 . 6} \mathbf{k J} \)
A . 2,3
B. 3,4
\( c \cdot 2,4 \)
D. 1.4
| 1 |
Chemistry
|
During galvanization of iron, which metal is used for coating iron surface?
A. copper
B. zinç
c. Nickel
D. Tin
| 1 |
Chemistry
|
Which of the following statement is
correct?
\( \mathbf{A} \cdot \) The \( p H \) of one litre solution containing \( 0.49 \mathrm{g} \) of \( H_{2} S O_{4} \) is 2.0
B. The conjugate base of \( H_{2} S \) is \( S^{-2} \)
\( \mathrm{C} \cdot B F_{3} \) is Lewis base
D. Phenolphthalein is colorless in basic medium
| 1 |
Chemistry
|
Two electric wires coming out of the
meter are connected to the
A. electric equipment
B. switch of the bulbs
c. main switch
D. switch of the electric equipments
| 3 |
Physics
|
The degree of dissociation of water at \( 25^{\circ} \mathrm{C} \) is \( 1.8 \times 10^{-7} \% \) and density is
\( 1.0 g c m^{-3} . \) The ionic constant for water
is:
A \( \cdot 1.0 \times 10^{-14} \)
В. \( 2.0 \times 10^{-16} \)
c. \( 1.0 \times 10^{-16} \)
D. \( 1.0 \times 10^{-8} \)
| 1 |
Chemistry
|
Length of petiole increases by the activity of
A. Apical meristem
B. Lateral meristem
c. Intercalary meristem
D. All the above
| 0 |
Biology
|
\( \int_{0}^{\pi} x f(\sin x) d x \) is equal to
\( \mathbf{A} \cdot \pi \int_{0}^{x} f(\cos x) d x \)
\( \mathbf{B} \cdot \pi \int_{0}^{x} f(\sin x) d x \)
\( ^{\mathbf{C}} \cdot \frac{\pi}{2} \int_{0}^{x / 2} f(\sin x) d x \)
D \( \cdot \pi \int_{0}^{\pi / 2} f(\cos x) d x \)
| 2 |
Maths
|
Match the items in List 1 with those in
List 2
| 1 |
Chemistry
|
In a free space a rifle (fixed) of mass \( M \)
shoots a bullet of mass \( m \) at a
stationary block of mass \( M \) distance \( D \) away from it. When the bullet has
moved through a distance \( d \) towards the
block the centre of mass of the bullet-
block system is at a distance of:
A \( \cdot \frac{(D-d) m}{M+m} \) from the block
B. \( \frac{m d+M D}{M+m} \) from the rifle
c. \( \frac{2 d m+D M}{M+m} \) from the rifle
D. \( (D-d) \frac{M}{M+m} \) from the bullet
| 3 |
Physics
|
Four point charges \( \boldsymbol{q}_{\boldsymbol{A}}=\boldsymbol{2 \mu C}, \boldsymbol{q}_{\boldsymbol{B}}= \)
\( -5 \mu C, q_{C}=2 \mu C, \) and \( q_{D}=-5 \mu C \)
are located at the corners of a square
\( A B C D \) of side \( 10 \mathrm{cm} . \) What is the force
on a charge of \( 1 \mu C \) placed at the centre
of the square?
| 3 |
Physics
|
By means of the given analytical results show that law of multiple proportions is true.
Mercurous chloride Mercuric chloride
Mercury = 84.92 \% \( \quad \) Mercury = 73.80\%
Chlorine \( =15.08 \) \( \% \) Chlorine = 26.20\%
| 1 |
Chemistry
|
Define Super Conductivity
| 3 |
Physics
|
Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of \( 20 \mathrm{cm} \) are placed
with their convex surfaces in contact at
the centre. The intervening space is filled with oil of refractive index 1.7. The
focal length of the combination is
A. -50 cm
B. 50 \( \mathrm{cm} \)
\( c .-20 \mathrm{cm} \)
D. -25 cm
| 3 |
Physics
|
The value of \( \left|\begin{array}{ccc}-a^{2} & a b & a c \\ a b & -b^{2} & b c \\ a c & b c & -c^{2}\end{array}\right| \) is
A . a perfect cube
B. zero
c. a perfect square
D. negative
| 2 |
Maths
|
topp
0
Fill in the blanks in the following passage(s) from the words given above.
The magnetic field produced around a straight current carrying conductor is in the form of with the
lying on the straight conductor. Take a copper wire AB. Pass it through a cardboard. Connect the wire to a battery through a key. Sprinkle some iron filings on the cardboard. Switch on the key and tap the cardboaro gently. You will find that the iron filings arrange themselves in the form of concentric circles. Reverse the direction
of current by changing the of the battery. You will find that this time too, the iron filings arrange themselves in concentric circle but in
direction. Hence, the magnetic field lines of force around a carrying electric current are concentric circles with the
conductor at the centre. The direction of
magnetic field changes if the direction of current is
| 3 |
Physics
|
Consider the following figure,
The correct relationship between
fahrenheit and celsius scale is:
\( \mathbf{A} \cdot^{0} F=^{0} C+273.15 \)
\( \mathbf{B} \cdot^{0} F=\frac{2}{5}^{0} C+16 \)
\( \mathbf{c} \cdot^{0} F=\frac{9}{5} C+32 \)
D. \( ^{0} F=\frac{1}{3}^{0} C+32 \)
| 1 |
Chemistry
|
Which of the following is responsible for the relatively low vapour pressure of water?
A. Metallic bonding
B. lonic bonding
c. Hydrogen bonding
D. Polar covalent bonding
E. Nonpolar covalent bonding
| 1 |
Chemistry
|
The mean and variance of 20
observations are found to be 10 and 4
respectively. On rechecking, it was found that an observation 9 was
incorrect and the correct observation
was \( 11 . \) Then the correct variabce is:
A . 3.98
в. 4.02
c. 4.01
D. 3.99
| 2 |
Maths
|
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