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A certain weight is attached to a spring It is pulled down and then released. It oscillates up and down. Its K.E. will be.
A. maximum at the middle of the movement
B. maximum at the bottom
c. maximum just before it is released
D. constant
| 3 |
Physics
|
Describe the experiment performed by
Griffith. What conclusions did he infer
from his observations?
| 0 |
Biology
|
An ideal transformer is used on 220 V
line to deliver 2 A at 110 V. The current
through the primary is :
\( A \cdot 10 A \)
B. 5 A
\( c \cdot 1 A \)
D. 0.1 A
| 3 |
Physics
|
A student pulls a wooden box along a rough horizontal floor (without the block
loosing contact with the floor) at
constant speed by means of a force \( P \)
as shown, to the right. \( (W \) is weight of
block, \( N \) is normal reaction on the
block, \( f \) is force of friction on the block).
Which of the following must be true?
A \( . P>f \) and \( N<W \)
B. \( P>f \) and \( N=W \)
c. \( P=f \) and \( N>W \)
\( D<f \) and \( N=W \)
| 3 |
Physics
|
Which of the following is correct regarding buffer solution?
A. It contains weak acid and its conjugate base.
B. It shows low change in pH on adding small amount of acid or base.
c. (A) and (B) both
D. None of these
| 1 |
Chemistry
|
When \( y=3 \) which of the following is
FALSE?
A. \( y \) is prime and \( y \) is odd
B. \( y \) is odd or \( y \) is even
c. \( y \) is not prime and \( y \) is odd
D. \( y \) is odd and \( 2 y \) is even
| 2 |
Maths
|
What is \( F \) ?
\[
\mathrm{F} \frac{\mathrm{H}^{\oplus} / \mathrm{KMnO}_{4}}{\Delta} \geq \text { acetone }+\text { ethanoic acid }
\]
| 1 |
Chemistry
|
Let \( f(x)=x^{3}+6 x^{2}+6 x \) and let \( c \) be
the number that satisfies the Mean
value theorem for \( f \) on the interval
\( [-6,0] . \) What is \( c ? \)
A. -5
B. -4
c. -3
D. -
| 2 |
Maths
|
Assertion (A):The derivative of \( (\log x)^{x} \)
w.r.t \( \boldsymbol{x} \) is \( (\log \boldsymbol{x})^{x-1}[\mathbf{1}+\log \boldsymbol{x} \log (\log \boldsymbol{x})] \)
Reason
\( (\mathrm{R}): \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left\{\boldsymbol{f}(\boldsymbol{x})^{g(\boldsymbol{x})}\right\}=\boldsymbol{f}(\boldsymbol{x})^{g(\boldsymbol{x})} \)
\( \left(g(x) \frac{f^{\prime}(x)}{f(x)}+g^{\prime}(x) \log (f(x))\right) \)
A. Both A and R are true R is correct reason of A
B. Both A and R are true R is not correct reason of
c. A is true but R is false
D. A is false but R is true
| 2 |
Maths
|
If \( \alpha, \beta \) and \( \gamma \) are the roots of the
equation \( x^{3}+p x+q=0 \) then the value of the determinant \( \left|\begin{array}{lll}\boldsymbol{\alpha} & \boldsymbol{\beta} & \gamma \\ \boldsymbol{\beta} & \gamma & \boldsymbol{\alpha} \\ \boldsymbol{\gamma} & \boldsymbol{\alpha} & \boldsymbol{\beta}\end{array}\right| \) is
2
\( \mathbf{A} \cdot \underline{p} \)
B. \( q \)
c. \( p^{2}-2 q \)
\( D \)
| 2 |
Maths
|
The expression of electric power \( (\boldsymbol{P})= \)
A \( \cdot I R^{2} \)
в. \( V I \)
c. \( I R \)
D. \( V R^{2} \)
| 3 |
Physics
|
In the set of all positive integers show
that the relation '>' is not an
equivalence relation.
| 2 |
Maths
|
Polyethene is a resin obtained by polymerisation of
A. butadiene
B. ethylene
c. isoprene
D. propylene
| 1 |
Chemistry
|
When \( H_{2} S \) is passed into aqueous \( S O_{2} \)
\( \mathbf{A} \cdot H_{2} S \) is converted to yellow precipitate of sulphur.
B. \( S O_{2} \) is converted to yellow precipitate of sulphur.
C . a clear solution of \( H_{2} S O_{4} \) is formed.
D. \( S O_{2} \) as well as \( H_{2} S \) are converted into a yellow precipitate of sulphur
| 1 |
Chemistry
|
\( \int_{0}^{\pi} \frac{d x}{1+2 \sin ^{2} x} \)
| 2 |
Maths
|
The noble gas mixture is cooled in a coconut bulb at \( 173 K . \) The gases that
are not adsorbed are:
A. Helium and Neon
B. Helium and Xenon
c. xenon and Neon
D. none of these
| 1 |
Chemistry
|
Hydrogen molecules are:
A. monoatomic and form \( X_{2}^{2-} \) type ions
B. diatomic and form \( X_{2}^{-} \) type ions
C . diatomic and form \( X^{-} \) as well as \( X^{+} \) type ions
D. monoatomic and form \( X^{-} \) type ions
| 1 |
Chemistry
|
The trend in non metallic character
across a period:
A. decreases
B. increases
c. constant
D. none of these
| 1 |
Chemistry
|
Charge on an electron is :
\( \mathbf{A} \cdot+e \)
в. \( -e \)
\( c . \pm e \)
D. All
| 3 |
Physics
|
Fifteen coupons are numbered \( 1,2, \ldots . .15 \)
respectively. Three coupons are selected at random without replacement. The probability that the maximum number on the selected coupon is \( 9, \) is
A \( \cdot 4 / 65 \)
в. \( 3 / 65 \)
\( \mathrm{c} \cdot 1 / 13 \)
D. None of these
| 2 |
Maths
|
Write differences between primary
metabolism and secondary metabolism.
| 0 |
Biology
|
The movement of free atoms from
higher concentration to lower
concentration is called:
A. Osmosis
B. Diffusion
c. Endosmosis
D. Exosmosis
| 0 |
Biology
|
Prove that the sum of two successive
odd numbers is divisible by 4
| 2 |
Maths
|
\( \infty \)
80
\( \frac{80}{00} \)
900
| 1 |
Chemistry
|
The energy required for the electron to jump from \( n=2 \) to \( n=3 \) will be:
\( \mathbf{A} \cdot 5 x k J \)
в. \( \frac{36 x}{5} k J \)
c. \( \frac{5 x}{36} k J \)
D. \( \frac{9 x}{4} k J \)
| 1 |
Chemistry
|
If coil is placed perpendicular to field lines then number of lines passing
through coil are :
\( A \). minimum
B. maximum
c. zero
D. may be max. or min
| 3 |
Physics
|
State the role of citizens in pollution control. Give three efforts taken in order
to reduce pollution.
| 0 |
Biology
|
Jacob and Monad named those enzymes
allosteric whose activity is regulated by
A. Substrate
B. End product
c. coenzymes
D. Prosthetic groups
| 0 |
Biology
|
The number of molecules present in 4.4
gof \( C O_{2} \) gas is:
A \( \cdot 6.023 \times 10^{23} \)
В. \( 5.023 \times 10^{23} \)
c. \( 6.023 \times 10^{24} \)
D. \( 6.023 \times 10^{2} \)
| 1 |
Chemistry
|
Consider an expanding sphere of instantaneous radius \( R \) whose total
mass remains constant. The expansion is such that the instantaneous density
\( \rho \) remains uniform throughout the
volume. The rate of fractional change in density \( \left(\frac{1}{\rho} \frac{d p}{d t}\right) \) is constant. The
velocity \( v \) of any point on the surface of
the expanding sphere is proportional to
A \( \cdot R^{2 / 3} \)
в. \( R \)
c. \( R^{3} \)
D. \( \frac{1}{R} \)
| 3 |
Physics
|
\( \frac{3^{x} \times 3}{3^{2 x-2}}=9^{-2}, \) find \( x \)
| 2 |
Maths
|
The reserve food of brown algae is
A. Fucoxanthin
B. Volutin
c. Laminarin
D. Paramylum
| 0 |
Biology
|
Free energy change for the process \( \boldsymbol{A}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{B}(l) \) will be:
A .
B. 1
\( c \cdot 2 \)
D.
| 1 |
Chemistry
|
State whether the given statement is
true or false:
Combination is the reverse of
decomposition reaction
A. True
B. False
| 1 |
Chemistry
|
When the leaves occur on................, trees
are called as columnar.
A. All branches
B. Only at the top of the trunk
c. only on the lower branches
D. only on the middle portion of the trunk
| 0 |
Biology
|
The pressure coefficient of a gas is \( \operatorname{(in} /^{0} C \)
):
A. 0.00367
в. - -27
\( c . \) 98
D. 3.14
| 3 |
Physics
|
Lanthanoids are also called as
A. Transition elements
B. Rare earth elements
c. Both A and B
D. None of these
| 1 |
Chemistry
|
From the given reactions which is a
redox reaction?
This question has multiple correct options
\( \mathbf{A} \cdot C u O(s)+H_{2}(g) \rightarrow C u(s)+H_{2} O(l) \)
B \( \cdot 2 C u(s)+O_{2}(g) \rightarrow 2 C u O(s) \)
\( \mathbf{c} \cdot C(s)+2 H_{2}(g) \rightarrow C H_{4}(g) \)
D. \( 4 A l(s)+3 O_{2}(g) \rightarrow 2 A l_{2} O_{3}(s) \)
| 1 |
Chemistry
|
Albert is riding his scooter at a velocity of \( 80 k m / h \) when he sees an old woman crossing the road \( 45 m \) away he immediately steps hard on the break to get the maximum deceleration of
\( 7.5 m / s^{2} . \) How far will he go before stopping, will he hit the old woman? (in
\( m) \)
A. \( 36.4, \) Yes
B. \( 35, \) No
c. \( 54.2, \) Yes
D. \( 32.9, \) No
| 3 |
Physics
|
The area of a square is \( 5.29 \mathrm{cm}^{2} \). The
area of 7 such squares taking into account the significant figures is?
\( \mathbf{A} \cdot 37 \mathrm{cm}^{2} \)
в. \( 37.0 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 37.03 \mathrm{cm}^{2} \)
D. \( 37.030 \mathrm{cm}^{2} \)
| 3 |
Physics
|
\( K_{a} \) for \( C H_{3} C O O H \) is \( 1.8 \times 10^{-5} \) and
\( K_{b} \) for \( N H_{4} O H \) is \( 1.8 \times 10^{-5} . \) The pH of
ammonium acetate will be:
\( \mathbf{A} \cdot 7.005 \)
в. 4.75
\( c .7 .0 \)
D. between 6 and 7
| 1 |
Chemistry
|
In a common emitter (CE) amplifier having a voltage gain \( G, \) the transistor
used has transconductance 0.03 mho
and current gain \( 25 . \) If the above transistor is replaced with another one with transconductance 0.02 mho and
current gain \( 20, \) the voltage gain will be
A \( \cdot \frac{2}{3} G \)
в. \( 1.5 G \)
c. \( \frac{1}{3} G \)
D. \( \frac{5}{4} G \)
| 3 |
Physics
|
The area bounded by two branches of the curve \( (\boldsymbol{y}-\boldsymbol{x})^{2}=\boldsymbol{x}^{3} \& \boldsymbol{x}=\mathbf{1} \) equals
A . \( 3 / 5 \)
B. \( 5 / 4 \)
\( c \cdot 6 / 5 \)
D. \( 4 / 5 \)
| 2 |
Maths
|
The reaction \( \mathbf{2} \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{O}_{2} \stackrel{N O(\boldsymbol{g})}{\boldsymbol{\lambda}} \boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \)
A. Heterogeneous catalysiss
B. Homogegenous catalysiss
c. Enzyme catalysis
D. None of them
| 1 |
Chemistry
|
Which one of the following is a vascular cryptogam?
A. Equisetum
B. Ginkgo
c. Marchantia
D. Cedrus
| 0 |
Biology
|
What happens in a negative beta decay
\( ? \)
A. an atomic electron is ejected
B. an electron which is already present within the nucleus is ejected
c. a neutron in the nucleus decays emitting an electron
D. a proton in the nucleus decays emitting an electron
| 3 |
Physics
|
f \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 8}, \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A})= \)
0.6. Find \( P(A / B) \)
| 2 |
Maths
|
Hydrogen readily combines with these elements?
This question has multiple correct options
A. Na a
B.
\( c \cdot c a \)
D. zn
| 1 |
Chemistry
|
An LCR series circuit is connected to ac
source. At resonance, the applied voltage and the current flowing through
the circuit will have a phase difference
of:
\( \mathbf{A} \cdot \pi / 4 \)
B. zero
\( c \)
D. \( \pi / 2 \)
| 3 |
Physics
|
Which of the following statements is
not true?
A. A heart murmur usually indicates a fatal heart defect
B. Angina pectoris may occur when doing strenuous activity after eating a heavy meal
C. An incompetent valve can permit a backflow of blood
D. A coronary artery spasm can cause an obstruction of blood flow
| 0 |
Biology
|
A box has tokens numbered 3 to 100 . If a
token is taken out at random the
chance that the number is divisible by 7
is
A \( \cdot 1 / 4 \)
B. 1/5
\( c \cdot 1 / 6 \)
D. 1/
| 2 |
Maths
|
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household.
\[
\begin{array}{llllll}
\text { Family } & 1- & 3- & 5- & 7- & 9- \\
\text { size } & 3 & 5 & 7 & 9 & 11
\end{array}
\]
Numbe of 7 familie
The mode of this data 3.286
A. True
B. False
| 2 |
Maths
|
Newton's formula for the velocity of
sound in gas is
\( ^{\mathrm{A}} \cdot_{v}=\sqrt{\frac{P}{\rho}} \)
в. \( _{v}=\frac{2}{3} \sqrt{\frac{P}{\rho}} \)
c. \( v=\sqrt{\frac{\rho}{P}} \)
D. \( v=\sqrt{\frac{2 P}{\rho}} \)
| 3 |
Physics
|
Which of the following is one of the most common application of chemical effects of electric current?
A. Electrophoresis
B. Electroplating
c. Galvanization
D. Mineralization
| 1 |
Chemistry
|
Solve the equations \( \frac{5}{x-1}+\frac{1}{y-2}=2 \) and \( \frac{6}{x-1}- \)
\( \frac{3}{y-2}=1 \)
| 2 |
Maths
|
If \( A \) and \( B \) are mutually exclusive such
that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 3 5} \) and \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 4 5} \)
find
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B}) \)
| 2 |
Maths
|
In formulating the theory of evolution by natural selection, Charles Darwin
was greatly influenced by
A. environmental factors
B. mutations
c. Maithus idea on population control
D. all of these
| 0 |
Biology
|
Inertia of a body depends on:
A. Mass of the body
B. Velocity of the body
c. Acceleration of the body
D. Energy of the body
| 3 |
Physics
|
The mass equivalent of 931.5 Mev energy is
A \( \cdot 1.66 \times 10^{-27} k g \)
B. \( 6.02 \times 10^{-24} k g \)
C \( .1 .66 \times 10^{-20} \mathrm{kg} \)
D. \( 6.02 \times 10^{-27} k g \)
| 3 |
Physics
|
Largest difference in radii is found in
which of the following pair?
A. \( L i, N a \)
в. \( N a, K \)
c. \( K, R b \)
D. \( R b, C s \)
| 1 |
Chemistry
|
(a) Describe briefly, with the help of a diagram, the role of the two important processes involved in the formation of a
\( p-n \) junction
(b) Name the device which is used as a
voltage regulator. Draw the necessary circuit diagram and explain its working.
| 3 |
Physics
|
If \( \quad z_{r}=\cos \frac{r \alpha}{n^{2}}+i \sin \frac{r \alpha}{n^{2}}, \) where \( r= \)
\( 1,2,3, \dots, n, \) then \( \lim _{n \rightarrow \infty}\left(z_{1}, z_{2} \dots \dots, z_{n}\right) \) is
equal to
A \( \cdot \cos \alpha+i \sin \alpha \)
B・sin \( \frac{\alpha}{2}+i \cos \frac{\alpha}{2} \)
\( \mathbf{c} \cdot e^{i \alpha / 2} \)
D. \( \sqrt{e^{i}} \)
| 2 |
Maths
|
Photoperiodism phenomena was first discovered by
A. Garnet and Allardardand
B. Haberlandt
c. wickson and Thimann
D. Osborne
| 0 |
Biology
|
Short/long answer type questions. Most fungi resemble protists or even plants. What is the justification for placing fungi in a separate kingdom?
| 0 |
Biology
|
Assertion: Emitted radiations lie in
visible region when electrons jump from higher level to \( n=2 \) in hydrogen. Reason: Balmer series radiations
belong to visible range in H-atoms.
A. Both Reason and Assertion are true and reason is the correct explanation of assertion
B. Both Reason and Assertion are true but reason is not correct explanation of assertion
c. Assertion is true but reason is false
D. Assertion and reason both are false
E. Assertion is false but reason is true
| 1 |
Chemistry
|
If two tangents are drawn at the end points of two radii that are inclined at
an angle of \( 110^{\circ} . \) Find the angle between
the tangents.
\( \mathbf{A} \cdot 110^{\circ} \)
B. 55
\( c \cdot 70^{\circ} \)
D. \( 20^{\circ} \)
| 2 |
Maths
|
The area of parallegram represented by the vectors. \( \overrightarrow{\boldsymbol{A}}=\boldsymbol{2} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}} \) and \( \overrightarrow{\boldsymbol{B}}=\hat{\boldsymbol{i}}+ \)
\( 4 \hat{j} \) is :-
A. 14 units
B. 7.5 units
c. 10 units
D. 5 units
| 2 |
Maths
|
A stretched rope having linear mass density \( 5 \times 10^{-2} k g m^{-1} \) is under a
tension of \( 80 N . \) The power that has to be supplied to the rope to generate harmonic waves at a frequency of \( 60 H z \)
and an amplitude of \( 6 \mathrm{cm} \) is
\( \mathbf{A} \cdot 215 W \)
B. \( 251 W \)
\( \mathbf{c} .512 W \)
D. \( 521 W \)
| 3 |
Physics
|
A charged particle of specific charge (charge/mass) \( \alpha \) is released from
origin at time \( t=0 \) with velocity \( \vec{v}= \)
\( v_{0}(\hat{i}+\hat{j}) \) in a uniform magnetic field
\( \vec{B}=B_{0} \hat{i} . \) Coordinates of the particle at
time \( t=\frac{\pi}{B_{0} \alpha} \) are
A \( \cdot\left(\frac{v_{0}}{2 B_{0} \alpha}, \frac{\sqrt{2} v_{0}}{\alpha B_{0}}, \frac{-v_{0}}{B_{0} \alpha}\right) \)
В \( \cdot\left(\frac{-v_{0}}{2 B_{0} \alpha}, 0,0\right) \)
\( ^{\mathbf{C}} \cdot\left(0, \frac{2 v_{0}}{B_{0} \alpha}, \frac{v_{0} \pi}{2 B_{0} \alpha}\right) \)
D \( \cdot\left(\frac{v_{0} \pi}{B_{0} \alpha}, 0, \frac{-2 v_{0}}{B_{0} \alpha}\right) \)
| 3 |
Physics
|
Which teeth of human are shovel-
shaped and used for nibbling, cutting and tearing?
A. Canines
B. Premolars
c. Molars
D. Incisors
| 0 |
Biology
|
Hydrolith, a source of hydrogen is :
A. \( N a H \)
в. \( C a H_{2} \)
c. \( L i H \)
D. \( B a H_{2} \)
| 1 |
Chemistry
|
The capacity of a parallel plate condenser
consisting of two plates each of \( 10 \mathrm{cm}^{2} \)
separated by a distance of \( 2 \mathrm{mm} \) is:
(Take air as the medium between the
plates
A \( \cdot 8.85 \times 10^{-13} F \)
В. \( 4.42 \times 10^{-12} \mathrm{F} \)
c. \( 44.25 \times 10^{-12} F \)
D. \( 88.5 \times 10^{-13} F \)
| 3 |
Physics
|
Why is foundry coke used in boilers and furnaces?
A. Excellent insulator
B. Excellent source of light
c. Excellent source of heat
D. None of above
| 1 |
Chemistry
|
Represented \( \frac{-3}{4} \& \frac{1}{8} \) on the number line
| 2 |
Maths
|
The equilibrium constants \( \boldsymbol{K}_{\boldsymbol{p}_{1}} \) and \( \boldsymbol{K}_{\boldsymbol{p}_{2}} \)
for the reactions, \( \boldsymbol{X} \rightleftharpoons 2 \boldsymbol{Y} \) and \( \boldsymbol{Z} \rightleftharpoons \)
\( P+Q, \) respectively are in the ratio of
1 : 9. If the degree of dissociation of \( \boldsymbol{X} \)
and \( Z \) be equal then the ratio of total
pressures at the equilibrium is:
A . 1: 9
B. 1: 36
c. 1: 1
D. 1: 3
| 1 |
Chemistry
|
A current of \( 4.0 A \) is passed for 5 hours through \( 1 L \) of \( 2 M \) solution of nickel
nitrate using two nickel electrodes. The molarity of the solution at the end of the electrolysis will be:
\( \mathbf{A} \cdot 1.6 M \)
в. \( 1.2 M \)
c. \( 2.5 M \)
D. \( 2.0 M \)
| 1 |
Chemistry
|
Starting with sodium chloride how would you proceed to prepare (i) sodium metal,
(ii) sodium hydroxide,
(iii) sodium peroxide,
(iv) sodium
carbonate?
| 1 |
Chemistry
|
A copper rod of length 'I' rotates at an
angular velocity ' \( \omega^{\prime} \) in a uniform magnetic field B as shown in figure. What is the induced emf across its
ends?
| 3 |
Physics
|
Origin of gymnosperms occured in
era.
A. Coenozoic
B. Paeleozoic
c. Mesozoic
D. Precambrian
| 0 |
Biology
|
The dimensional formula for impulse is:
A \( . M L T^{-2} \)
в. \( M L T^{-1} \)
\( \mathbf{c} \cdot M L^{2} T^{-1} \)
D. \( M^{2} L T^{-1} \)
| 3 |
Physics
|
A wire is subjected to a tensile stress. If
A represents area of cross-section,
represents original length, I represents extension and Y is Young's modulus of elasticity, then elastic potential energy of the stretched wire is
\( \mathbf{A} \cdot U=\frac{2 L}{A Y} I^{2} \)
B \( \cdot U=\frac{A L}{2 Y} I^{2} \)
\( \mathbf{c} \cdot U=\frac{A Y}{2 L} I^{2} \)
D. \( U=\frac{1}{4} \frac{A Y}{L} I^{2} \)
| 3 |
Physics
|
Evaluate the given integral: \( \int_{0}^{5} x^{4} d x \)
| 2 |
Maths
|
Fill in the blank.
In uniform circular motion
remains constant.
A. Acceleration
B. Time
c. speed
D. Direction
| 3 |
Physics
|
A current of \( 2 A \) is passed through a coil
of 1000 turns to produce a flux of
\( 0.5 \mu W b . \) Self inductance of the coil
A \( .2 .5 \times 10^{-4} H \)
В. \( 2.5 \times 10^{-5} H \)
c. \( 2.5 \times 10^{-6} H \)
D. \( 2.5 \times 10^{-7} H \)
| 3 |
Physics
|
\( \sqrt[4]{0} x+\cos (\infty) \)
.700
\( \$ \)
\( \$ 0 \)
\( \tan \)
| 1 |
Chemistry
|
Mark the incorrect reason why plants
need water and minerals
A. Transportation
B. cooling
c. Bleeding
D. All
| 0 |
Biology
|
If the values of \( \wedge_{\infty} \) of \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C l}, \boldsymbol{N} \boldsymbol{a} \boldsymbol{O H} \)
and \( N a C l \) are 130,217 and
109 ohm \( ^{-1} \cdot c m^{2} \cdot e q u i v^{-1} \)
respectively, the \( \wedge_{\infty} \) of \( N H_{4} O H \) in
\( o h m^{-1} \cdot c m^{2} \cdot e q u i v^{-1} \) is:
A .238
в. 198
c. 22
D. 456
| 1 |
Chemistry
|
If \( f \) be the differentiable for \( \forall x \). If
\( \boldsymbol{f}(1)=-2 \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x}) \geq 2 \) for \( [\mathbf{1}, \boldsymbol{6}] \) then
A. \( f(6)<8 \)
В. \( f(6)=5 \)
\( \mathbf{c} \cdot f(6) \geq 8 \)
D. \( f(6)<5 \)
| 2 |
Maths
|
Draw the graph for the linear equation
\( \boldsymbol{x}=-2 \boldsymbol{y} \)
A. passes through (0,0) and \( m=2 \)
B. passes through (0,0) and \( m=-2 \)
c. passes through (1,2) and \( m=-\frac{1}{2} \)
D. passes through (0,0) and \( m=-\frac{1}{2} \)
| 2 |
Maths
|
A student performs an experiment to determine the Young's modulus of a wire, exactly \( 2 \mathrm{m} \) long, by Searle's method. In a particular reading, the student measures the extension in the
length of the wire to be \( 0.8 m m \) with an
uncertainty of \( \pm 0.05 \mathrm{mm} \) at a load of exactly \( 1.0 k g . \) The student also
measures the diameter of the wire to be
\( 0.4 m m \) with an uncertainty of ±0.01
\( \mathrm{mm} . \) Take \( \mathrm{g}=9.8 \mathrm{m} / \mathrm{s}^{2} \) (exact). The
Young's modulus obtained from the reading is
в. \( (2.0 \pm 0.2) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
c. \( (2.0 \pm 0.1) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
D. \( (2.0 \pm 0.05) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
| 3 |
Physics
|
The direct change from solid to gaseous state is referred to as:
A. dissociation
B. decomposition
c. sublimation
D. deliquescence
| 3 |
Physics
|
The long form of the periodic table
consists of \( _{-} \) horizontal rows and
vertical columns
A. 6 and 17
B. 7 and 7
c. 5 and 7
D. 7 and 18
| 1 |
Chemistry
|
Magnesium reacts with an element \( (\boldsymbol{X}) \)
to form an ionic compound. If the ground state electronic configuration of
\( (X) \) is \( 1 s^{2} 2 s^{2} 2 p^{3}, \) the simplest formula for this compound is:
A. \( M g_{2} X \)
в. \( M g_{2} X_{3} \)
с. \( M g_{3} X_{2} \)
D. \( M g X_{2} \)
| 1 |
Chemistry
|
Name the plastic used for making non-
stick pans:
A. PVC
B. Teflon
c. Bakelite
D. Melamine
| 1 |
Chemistry
|
The area of a rectangle and square are
same. If the side of a square is \( 80 m \) and length of rectangular park is \( 200 m \) Find breadth of the rectangle.
| 2 |
Maths
|
WEIGHTLESSNESS
An astronaut experiences weightlessness in a space satellite. It is because
A. the gravitational force is small at that location in space
B. the gravitational force is large at that location in space
c. the astronaut experiences no gravity.
D. the gravitational force is infinitely large at that location in space
| 3 |
Physics
|
f \( a, b, c \) are real numbers such that \( \left|\begin{array}{ccc}\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a}\end{array}\right|=0, \) then show
that either \( \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}=\boldsymbol{0} \) or, \( \boldsymbol{a}=\boldsymbol{b}=\boldsymbol{c} \)
| 2 |
Maths
|
Plants take in air through tiny openings called........... which are present on
A . Leaves, stomata
B. Hydathodes, leaves
c. Stomata, stem
D. Stomata, leaves
| 0 |
Biology
|
Let \( \boldsymbol{f}:[\boldsymbol{a}, \boldsymbol{b}] \rightarrow[\mathbf{1}, \infty) \) be a continuous
function and let \( g: R \rightarrow R \) be defined
\( \operatorname{as} g(x)=\left\{\begin{array}{ccc}0 & \text { if } & x<a \\ \int_{a}^{x} f(t) d t & \text { if } & a \leq x \leq b \\ \int_{a}^{b} f(t) d t & \text { if } & x>b\end{array}\right. \)
Then
This question has multiple correct options
\( \mathbf{A} \cdot g(x) \) is continuous but not differentiable at \( a \)
B. \( g(x) \) is differentiable on \( R \)
C \( \cdot g(x) \) is continuous but not differentiable at \( b \)
D. \( g(x) \) is continuous and differentiable at either \( a \) or \( b \) but not both
| 2 |
Maths
|
In the following reaction:
\( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons 2 S O_{3}(g) \) the
equilibrium is not attained. The rate of forward reaction is greater than that of backward reaction. Thus, which of the following is the correct relation between
\( \boldsymbol{K}_{\boldsymbol{p}} \) and \( \boldsymbol{Q}_{\boldsymbol{p}} ? \)
\( \mathbf{A} \cdot K_{p}=Q_{p} \)
B \( \cdot Q_{p}>K_{p} \)
\( \mathbf{c} \cdot Q_{p}<K_{p} \)
D. \( K_{p}=Q_{p}=1 \)
| 1 |
Chemistry
|
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