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Which one is the most easily
dehydrated?
\( A \cdot(1) \)
B. (II)
\( c \)
D. All of equally dehydrated
| 1 |
Chemistry
|
The sublimation of iodine is due to
A. Low melting point
B. Weak \( I-I \) Bond
C. Weak van der Waals forces among \( I_{2} \) molecules
D. Lone pair - lone pair repulsion in \( I_{2} \) molecule
| 1 |
Chemistry
|
Find gain or loss per cent. \( \mathrm{CP}=\boldsymbol{R s} .900 \) and \( \mathrm{SP}=\boldsymbol{R} \boldsymbol{s} .1, \mathbf{0 8 0} \)
| 2 |
Maths
|
A square aluminium rod is \( 1 \mathrm{m} \) long and \( 5 \mathrm{mm} \) on edge. What must be the radius of another aluminium rod whose length
is \( 1 \mathrm{m} \) and which has the same
resistance as the previous rod?
A. \( 5.0 \mathrm{mm} \)
B. 4.2 mm
\( c .2 .8 \mathrm{mm} \)
D. \( 1.4 \mathrm{mm} \)
| 3 |
Physics
|
Passing \( \boldsymbol{H}_{2} \boldsymbol{S} \) gas into a mixture of \( M n^{2+}, N i^{2+}, C u^{2+} \) and \( H g^{2+} \) ions in
an acidified aqueous solution precipitates:
A. \( C u S \) and \( H g S \)
B. \( M n S \) and \( C u S \)
c. \( M n S \) and \( N i S \)
D. \( N i S \) and \( H g S \)
| 1 |
Chemistry
|
\( \sum_{k} \)
| 3 |
Physics
|
\( \ln \triangle A B C \) is \( \angle B \) is right angle. If \( a=16 \)
and \( c=12 \) then \( b= \)
A . 8
B . 18
c. 20
D . 28
| 2 |
Maths
|
Ammonia gas is not prepared by:
A. reduction of sodium nitrite or sodium nitrate by the reaction of zinc dust and sodium hydroxide.
B. hydrolysis of calcium cyanamide.
C. heating ammoniumchloridewith slaked lime.
D. heating of \( \left(N H_{4}\right)_{2} C r_{2} O_{7} \)
| 1 |
Chemistry
|
Food reserve in Rhodophyta is
A. Floridean starch
B. Mannitol
c. Leucosin
D. All of the above
| 0 |
Biology
|
Two triangles \( A B C \) and \( P Q R \) are \( \operatorname{similar}, \) if \( B C: C A: A B=1: 2: 3 \)
then \( \frac{Q R}{P R} \)
A \( \cdot \frac{3}{2} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D. \( \frac{2}{3} \)
| 2 |
Maths
|
Leaching method is used to concentrate
the ores of:
A. Gold
B. Silver
c. Aluminium
D. All of these
| 1 |
Chemistry
|
Figure shows which type of vascular
bundle?
A. Radial
B. Closed vascular bundle
c. Conjoint open
D. Conjoint closed
| 0 |
Biology
|
The D.E of the family of ellipse with centre at the origin and having co ordinate axes as axes is
A \( . x\left[y y_{2}+y_{1}^{2}\right]=y y_{1} \)
B . \( x^{2} y_{2}+y_{1}^{2}=y \)
\( \mathbf{c} \cdot x y y_{2}+y_{1}^{2}=y \)
D. \( x y y_{2}+y_{1}^{2}+y=0 \)
| 2 |
Maths
|
Passivity is exhibited by:
\( A) B e, B) M g, C) A l, D) B \)
A \( . A, B \)
в. \( B, C \)
c. \( A, C \)
D. \( B, D \)
| 1 |
Chemistry
|
What is the de-broglie wavelength for the electron of third class of hydrogen?
\( \mathbf{A} \cdot 9.96 \times 10^{-10} \mathrm{cm} \)
В. \( 9.96 \times 10^{-8} \mathrm{cm} \)
\( \mathbf{c} .9 .96 \times 10^{4} \mathrm{cm} \)
D. \( 9.96 \times 10^{8} \mathrm{cm} \)
| 3 |
Physics
|
One of the allotrope of oxygen is ozone. It
is a pale-blue poisonous gas with a strong odour.
A. True
B. False
| 1 |
Chemistry
|
State:
first law of thermodynamics
| 3 |
Physics
|
Assertion
Graphite is used as anode but not
diamond.
Reason
Graphite is good conductor of current
due to sp \( ^{2} \) hybridisation having mobile
\( \pi \) electrons. Diamond has \( s p^{3} \)
hybridisation and is insulater.
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
| 1 |
Chemistry
|
Figure shows a plane mirror onto which
a light ray is incident. If the incident
light ray is turned ray is turned by \( 10^{\circ} \)
and the mirror by \( 20^{\circ} \) as shown, find the
angle turned by the reflected ray.
ted ray
\( \mathbf{A} \cdot 10^{\circ} \)
B. \( 20^{\circ} \)
\( c \cdot 30^{\circ} \)
D. 40
| 3 |
Physics
|
\( \mathbf{\Psi}_{1 s}=\left[\frac{1}{\sqrt{\pi a_{o}^{3}}}\right] e^{-r / a_{0}} \)
Above relation is wave function of
hydrogen atom in ground state \( (r= \) distance of electron from nucleus and
\( \boldsymbol{a}_{0}=\mathbf{0 . 5 2 9} \times \mathbf{1 0}^{-8} \boldsymbol{c m} \) ). For \( \mathbf{1} \boldsymbol{s} \) orbital of
hydrogen, the maximum probability of finding an electron is at \( r= \)
A. \( a_{0} / 2 \)
2
в. \( a_{0} \)
\( c \cdot 2 a_{0} \)
D. \( \sqrt{a_{0}} \)
| 1 |
Chemistry
|
Which of the following is not a method of refining?
A. Roasting
B. Electrolysis
c. Distillation
D. Oxidation
| 1 |
Chemistry
|
The positive value of \( k \) for which \( \mathbf{k e}^{\mathbf{x}}- \)
\( \mathbf{x}=\mathbf{0} \) has only one root is
A . \( 1 / e \)
B. 1
\( c \)
D. \( \log _{\mathrm{e}} 2 \)
| 2 |
Maths
|
The most common form of
diagrammatic representation of a grouped frequency distribution is -
A . Ogive
B. Histogram
C. Frequency polygon
D. None of these
| 2 |
Maths
|
The statment that is true about 'Light' is
A. requires a material medium to travel from one place to another
B. does not require a material medium
c. light has mass but it is negligible
D. light waves are longitudinal wave
| 3 |
Physics
|
If \( f(x)=\log _{e}\{\log (x)\}, \) then \( f^{\prime}(x) \) at
\( \boldsymbol{x}=\boldsymbol{e} \) is :
\( A \)
B. \( -c \)
\( c \cdot e^{2} \)
D. \( e^{-1} \)
| 2 |
Maths
|
\( f\left(\begin{array}{ccc}-1 & 2 & 4 \\ 3 & 6 & -5\end{array}\right] \) then find \( 3 A \)
| 2 |
Maths
|
The domain of \( \log (x-5) \) is
\( A \cdot(5, \infty) \)
B \( \cdot R^{+}-(1) \)
\( c \cdot R-11 \)
D. None of these
| 2 |
Maths
|
According to laws of refraction(Snell's law
A. \( \angle i=\angle r \)
B. \( \sin i=\sin r \)
c. \( \frac{\sin i}{\sin r}= \) constant
D. \( \tan i=\tan r \)
| 3 |
Physics
|
Write the converse and contrapositive of
the statement "lf the two lines are
parallel then they do not intersects in the same plane".
| 2 |
Maths
|
Find the mean
\( \begin{array}{llllll}x: & 10 & 30 & 50 & 70 & 89 \\ f: & 7 & 8 & 10 & 15 & 10\end{array} \)
\( \mathbf{A} \cdot 55 \)
B. 65
\( \mathbf{c} \cdot 45 \)
D. 95
| 2 |
Maths
|
The vapour pressure of water is \( 12.3 k P a \) at \( 300 K . \) Calculate the vapour
pressure 1 molal solution of a non-
volatile solute in it
\( \mathbf{A} \cdot 12.08 k P a \)
B. 1.208 Ppa
\( \mathrm{c} .2 .4 \mathrm{kPa} \)
D. \( 0.4 k P a \)
| 1 |
Chemistry
|
Which statement is wrong from the following for the reflection by plane mirror?
A. The size of image is same as size of object
B. object distance and image distance is same
c. A plane mirror forms virtual and erect image
D. Image of the object in not laterally inverted
| 3 |
Physics
|
\( 200 g \) ball is tied to one end of a string of length \( 20 \mathrm{cm} . \) It is revolved in a
horizantal circle at an angular frequency of 6 rpm. Then, angular velocity \& linear velocities of the ball respectively are
rads \( ^{-1} \) and \( m s^{-1}: \)
A. 0.7284,0.1257
7
в. 0.6284,0.1257
c. 0.6284,0.1457
D. 0.7284,0.1457
| 3 |
Physics
|
The sum of the series \( 1+\frac{1}{4 \times 2 !}+ \) \( \frac{1}{16 \times 4 !}+\frac{1}{64 \times 6 !}+\ldots \infty \) is?
A \( \cdot \frac{e+1}{\sqrt{e}} \)
в. \( \frac{e-1}{\sqrt{e}} \)
c. \( \frac{e+1}{2 \sqrt{e}} \)
D. \( \frac{e-1}{2 \sqrt{e}} \)
| 2 |
Maths
|
A uniform ladder which is 5 m long has
a mass of \( 30 k g \) with its upper end against a smooth vertical wall and its
lower end is on a rough ground. The
bottom of the ladder is \( 3 m \) from the
wall. Calculate the frictional force
between the ladder and the ground.
\( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
| 3 |
Physics
|
What is the measurement of
temperature in Celsius scale in the above figure?
\( A \cdot 25^{\circ} C \)
B. \( 30^{\circ} \) C
\( c \cdot 26^{\circ} C \)
D \( \cdot 29^{\circ} C \)
| 3 |
Physics
|
Area bounded by curve \( x\left(x^{2}+p\right)= \)
\( \boldsymbol{y}-\mathbf{1} \) with \( \boldsymbol{y}=\mathbf{1} \boldsymbol{p}<\mathbf{0} \) is
A \( \cdot \frac{p^{2}}{4} \)
в. \( \frac{p}{2} \)
c. \( \frac{p^{2}}{2} \)
D. \( \frac{p}{4} \)
| 2 |
Maths
|
\( \frac{2 x^{3}+1}{(x-1)(x+1)(x+2)}= \)
A \( \cdot 2+\frac{1}{2(x-1)}+\frac{1}{2(x+1)}-\frac{5}{x+2} \)
B \( \cdot 2-\frac{1}{2(x-1)}-\frac{1}{2(x+1)}-\frac{15}{x+2} \)
c. \( 2+\frac{1}{2(x-1)}-\frac{1}{2(x+1)}+\frac{15}{x+2} \)
D. \( \frac{1}{2(x-1)}+\frac{1}{2(x+1)}-\frac{15}{x+2} \)
| 2 |
Maths
|
Reflection can occur on
A. Transparent surfaces
B. Translucent surfaces
c. Opaque surfaces
D. \( B \) and \( c \)
| 3 |
Physics
|
Observe the following lists Let \( f(x) \) be
any function
List - I
A) \( f^{\prime}(\mathrm{a})=0 \) and
I) \( f(x) \) is increasing at \( x=a \)
\[
f^{\prime \prime}(\mathrm{a})<0 \text { then }
\]
B) \( f^{\prime}(\mathrm{a})=0 \) and
2) \( f(x) \) has maximum value
\[
f^{\prime \prime}(\mathrm{a})>0 \text { then } \quad \text { at } x=a
\]
3) \( f(x) \) has
C) \( f^{\prime}(a) \neq 0 \) then neither maximum nor minimum
D) \( f^{\prime}(a)>0 \)
4) \( f(x) \) has minimum value at \( x=a \)
5) \( f(x) \) is decreasing at \( x=a \)
\( A \cdot A-4, B-2, C-3, D-5 \)
B. A -2,B -4, C -3, D -1
C. \( A-2, B-4, C-3, D-5 \)
D. A -2,B -4, C -5, D-1
| 2 |
Maths
|
1.0 \( \mathrm{ml} \) of a solution of \( \mathrm{H} C l \) with a \( p H \) of
4.0 is added it to \( 9.0 \mathrm{ml} \) of distilled
water, the \( p H \) of the final solution will
be:
A. The pH would remain unchanged.
B. The pH would rise to 5.5
c. The pH would rise to 5.0
D. The pH would be unmeasurable due to the amount of dilution
E. The pH would rise to 7.0
| 1 |
Chemistry
|
Which of the following statement is
CORRECT?
A. rolling a body is easier than sliding
B. sliding a body is easier than rolling
C. rolling a body is harder than sliding
D. None of these
| 3 |
Physics
|
The number of sub-energy levels in any energy level is given by:
\( A \cdot n \)
B. \( l \)
\( c \cdot m \)
D.
| 1 |
Chemistry
|
If \( f(x)=x^{3}-3 x^{2}+5 \)
Find \( f(0)+f(3) \)
| 2 |
Maths
|
Meiosis occurs in
A. Embryo sac
B. Megaspore
c. Megaspore mother cell
D. Nucellus
| 0 |
Biology
|
Three vertices of a tetrahedron are
(0,0,0),(6,-5,-1) and \( (-4,1,3) . \)
the centroid of the tetrahedron be
(1,-2,5) then the fourth vertex is
A. (2,-4,18)
в. (1,-4,18)
\( ^{c} \cdot\left(\frac{3}{2}, \frac{-3}{2}, \frac{7}{4}\right) \)
D. none of these
| 2 |
Maths
|
Dinitrophenol (DNP) allows hydrogen ions to leak across a membrane which
can harm the \( H^{+} \) gradient. Select the
correct statement.
A. It would permit a greater growth rate, since the cell would no longer have to spend energy pumping \( H^{+} \) across the membrane
B. It would permit a greater growth rate, because the equalization of \( H^{+} \) on both sides of a membrane would help the cell cope with an acidic environment.
c. If the cell was a neuron, it would have no impact, because the charge difference on the surface of the neuron membrane is based on \( N a^{+} \) and \( K^{+}, \) not on
\( H^{+} \)
D. The cell would lose the bulk of its energy production because of DNP's interference with chemiosmosis
E. It would slow the growth rate slightly, but the cell would compensate by maintaining the function of proton pumps
| 0 |
Biology
|
In the Lassaigne's solution with nitrogen present in the organic compound, ferrous sulphate solution is added and then boiled. It is neutralised
with dilute \( H_{2} S O_{4} . \) A bright solution is formed.
| 1 |
Chemistry
|
What different criteria would you
choose to classify people that you meet often?
| 0 |
Biology
|
BOD refers to the
A. Bidding of Dermatology
B. Binding of Dirt
C. Biochemical occupied Date
D. Biochemical Oxygen demand
| 1 |
Chemistry
|
H \( C l \) gas can fume in moist air
A. True
B. False
| 1 |
Chemistry
|
Briefly explain natural methods of birth
control.
| 0 |
Biology
|
Which shows increasing the kinetic energy of a liquid?
\[
\| \underbrace{x}
\]
\( \mathbf{A} \cdot A B \)
в. \( B C \)
c. \( C D \)
D. \( D E \)
E . \( E F \)
| 1 |
Chemistry
|
Simplify: \( (-2) \times(-3)^{3} \)
| 2 |
Maths
|
Solar radiation is
A. Transverse electromagnetic wave
B. Longitudinal electromagnetic wave
C. Stationary wave
D. None of the above
| 3 |
Physics
|
A body colls from \( 70^{\circ} \mathrm{C} \) to \( 60^{\circ} \mathrm{C} \) in 10
minutes when kept in air at \( 30^{\circ} \mathrm{C} \). In the next ten minutes its temprature will fall
A . Below \( 50^{\circ} \mathrm{C} \)
В. \( \operatorname{To} 50^{\circ} \mathrm{C} \)
c. To above \( 52.5^{\circ} \mathrm{C} \)
D. To any of the above depending on its specific heat
| 3 |
Physics
|
The first term in an arithmetic
sequence is -5 and the second term is
\( -3 . \) What is the 50 th term? (Recall that
in an arithmetic sequence, the difference between successive terms is
constant)
\( A \cdot 87 \)
B . 78
\( c \cdot 74 \)
D. 93
| 2 |
Maths
|
Lake test of \( A l^{3+} \) ion is based on
adsorption of blue litmus on solid
surface of :
A . \( A l \)
B \( \cdot A l(O H)_{3} \)
c. \( A l_{2}, o_{3} \)
D. \( A l C l_{3} \)
| 1 |
Chemistry
|
A given resistor has the following colour scheme of the various strips on it:
Brown, black, green and silver. Its value in ohm is :
A \( \cdot 1.0 \times 10^{4} \pm 10 \% \)
В. \( 1.0 \times 10^{5} \pm 10 \% \)
C. \( 1.0 \times 10^{6} \pm 10 \% \)
D. \( 1.0 \times 10^{7} \pm 10 \% \)
| 3 |
Physics
|
A Diwali rocket is ejecting 0.05 kg of gases per second at a velocity of \( 400 m s^{-1} . \) The accelerating force on the rocket is equal to :
A. 20 dyne
B. 20 newton
c. \( 20 \mathrm{kg} \) wt
D. sufficient data not giver
| 3 |
Physics
|
\( 200 \mathrm{ml} \) of \( 1 \mathrm{M} H C l \) is mixed with \( 400 \mathrm{ml} \)
of \( 0.5 \mathrm{M} \) NaOH.The temperature rise in
the calorimeter was found to be \( 4.0^{\circ} \mathrm{C} \)
Water equivalent of calorimeter is \( 25 g \)
and the specific heat of the solution is 1 cal/mL/degree. If the theoritical heat of neutralization of a strong acid and strong base is -13.5 kcal, then the
percentage error (as nearest integer) incurred in this experiment while calculating the heat of neutralization is
| 1 |
Chemistry
|
Which statement is incorrect?
A. Catalytic decomposition of \( K C l O_{3} \) by \( M n O_{2} \) is an example of homogeneous catalysis.
B. Only the surface atoms in an adsorbent play an active role in adsorption.
C. The rate of adsorption is very rapid in the beginning but decreases gradually until equilibrium is attained.
D. Absorption proceeds at a steady rate.
| 1 |
Chemistry
|
With usual notation, the following equation, said to give the distance
covered in the \( n^{t h} \) second i.e., \( S_{n}=u+ \)
\( a \frac{(2 n-1)}{2} \) is :
A. numerically correct
B. dimensionally correct
c. both dimensionally and numerically correct
D. neither numerically nor dimensionally correct
| 3 |
Physics
|
Assertion
It is difficult to move a bike with its
breaks on
Reason
Sliding friction is greater than rolling friction.
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
|
Consider the function \( f \) defined by \( f(x) \)
\( =x-x(x), \) where \( x \) is a positive
veriable,and (x) denotes the integral part of \( x \) and show that it is
discontinuous for intergral values of x,and continuous for all others. Is the function periodic? If periodic,what is its
period? Draw its graph.
| 2 |
Maths
|
The most general values of \( \theta \) for which
\( \sin \theta-\cos \theta=\min _{a \in R}\left(1, a^{2}-6 a+10\right) \)
are given by
A \( \cdot n \pi+(-1)^{n} \frac{\pi}{4}-\frac{\pi}{4} \)
B. \( n \pi+(-1)^{n} \frac{\pi}{4}+\frac{\pi}{4} \)
c. \( 2 n \pi+\frac{\pi}{4} \)
D. None of these
| 2 |
Maths
|
Find the sum of the first 25 terms of an
A.P whose \( n \) th term is given by \( a_{n}= \)
\( 2-3 n \)
\( \mathbf{A} \cdot-925 \)
B . -928
\( \mathbf{c} .-923 \)
D \( .-929 \)
| 2 |
Maths
|
0.40 g of an organic compound containing phosphorous gave 0.555 g of \( M g_{2} P_{2} O_{7} \) by usual analysis.
Calculate the percentage of the phosphorous in the organic compound.
A . \( 38.75 \% \) \%
в. \( 31.56 \% \)
c. \( 25.99 \% \)
D. 63.45\%
| 1 |
Chemistry
|
The most common ground tissue in plants is
A. Epidermis
B. cortex
c. Parenchyma
D. collenchyma
| 0 |
Biology
|
Write the balance equation for the reaction occurring when a solution of calcium chloride is mixed with a
solution of sodium carbonate.
| 1 |
Chemistry
|
Calculate the magnetic field induction B at the centre of a circular coil having \( \mathbf{5 0 0} \) turns, radius \( \pi \mathrm{cm} \) and carrying \( \mathbf{5} \mathbf{A} \) of current
\( \mathbf{A} \cdot 0.1 T \)
в. 0.005 न
c. 0.5 न
D. 0.05 न
| 3 |
Physics
|
Which of the following are APs?
This question has multiple correct options
\( \mathbf{A} \cdot 2.4,8,16, \ldots \)
B. \( 2, \frac{5}{2}, 3, \frac{7}{2}, \ldots \)
C \( .-1.2,-3.2,-5.2,-7.2, \ldots \)
D. \( -10,-6,-2,2, \ldots \)
E \( .3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2}, \ldots \)
F. \( 0.2,0.22,0.222,0.2222, \ldots . \)
G. \( 0,-4,-8,-12, \dots \)
\( \mathrm{H} \cdot-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \ldots \)
| 2 |
Maths
|
The sum of the squares of deviation
of 10 observations from their mean 50 is
\( 250, \) then coefficient of variation is
A . 10\%
B. 40\%
c. 50\%
D. none of these
| 2 |
Maths
|
Describe the structure of a neuron with
the help of a neat, labelled diagram.
| 0 |
Biology
|
At what temperature is the Fahrenheit scale reading equal to half of Celsius
scale?
| 3 |
Physics
|
Show that
\( \begin{array}{l}\sin 10^{\circ} \quad-\cos 10^{\circ} \\ \sin 80^{\circ} \quad \cos 80^{\circ}\end{array} \mid=1 \)
| 2 |
Maths
|
1 mole of \( H_{2}, 2 \) moles of \( I_{2} \) and 3 moles
of \( H I \) were taken in a 1 litre flask. The
equilibrium constant of the reaction \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \) is 50 at
\( 330^{\circ} \mathrm{C} . \) The concentration of \( \mathrm{HI} \) at
equilibrium is (moles.lit \( ^{-1} \) ):
A . 0.3
в. 1.3
c. 4.4
D. 2.
| 1 |
Chemistry
|
Assertion
PhBr is less reactive than \( C_{2} H_{5} B r \)
towards \( S_{N} \) reactions.
Reason
The forces of attraction between \( \boldsymbol{R} \boldsymbol{X} \)
and \( H_{2} O \) molecules are weaker than
those present between the molecules of
\( R X \) and water separately.
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 are correct
| 1 |
Chemistry
|
A charge \( Q \) is to be divided into two parts such the force between them is
maximum. They should be divided as
A \( \cdot \frac{Q}{4}, \frac{3 Q}{4} \)
B . \( \frac{a}{3}, \frac{20}{3} \)
c. \( \frac{a}{8}, \frac{7 Q}{8} \)
D. \( \frac{Q}{2}, \frac{a}{2} \)
| 3 |
Physics
|
Take \( C_{i c e}=0.53 c a l / g-^{\circ} C, C_{w a t e r}= \)
\( \mathbf{1 . 0 c a l} / \boldsymbol{g}-^{\circ} \boldsymbol{C},\left(\boldsymbol{L}_{f}\right)_{\text {water}}=\mathbf{8 0 c a l} / \boldsymbol{g} \)
and \( \left(\boldsymbol{L}_{v}\right)_{\text {water}}=\mathbf{5 2} \mathbf{9} \) cal \( / \mathbf{g} \). In a
container of negligible mass \( 140 g \) of ice
initially at \( -15^{\circ} \mathrm{C} \) is added to \( 200 \mathrm{g} \) of
water that has a temperature of \( 40^{\circ} \mathrm{C} \). If no heat is lost to the surroundings, what is the final temperature of system
in \( ^{\circ} \boldsymbol{C} \) ?
| 3 |
Physics
|
Which one of the following sets form the biodegradable polymer?
A \( \cdot H_{2} N-C H_{2}-C O O H \) and \( H_{2} N-\left(C H_{2}\right)_{5}-C O O H \)
в.
\( \langle\bigcirc\rangle-\mathrm{cH}=\mathrm{cH}_{2} \mathrm{and} \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}=\mathrm{CH}_{2} \)
D. \( C H_{2}=C H-C N \) and \( C H_{2}=C H-C H=C H_{2} \)
| 1 |
Chemistry
|
Which one is a polymer of fructose?
A. Glycogen
B. Starch
c. Inulin
D. Raffinose
| 0 |
Biology
|
In hydrogen-oxygen fuel cell the carbon rods are immersed in hot aqueous
solution of.
A . \( K C l \)
в. КОН
c. \( H_{2} S O_{4} \)
D. \( N H_{4} C l \)
| 1 |
Chemistry
|
A drawing pin is pushed against a wooden table with a force of \( 10 \mathrm{N} \)
Calculate the pressure exerted by the pin at a point on the table, if area of the
point is \( 0.01 \mathrm{cm}^{2} \)
\( \mathbf{A} \cdot 10^{5} P a \)
B . \( 10^{6} P a \)
\( \mathbf{c} \cdot 10^{7} P a \)
D. \( 10^{8} \mathrm{Pa} \)
| 3 |
Physics
|
Total reflecting prism is used for
A. deviating a ray of light through \( 180^{\circ} \)
B. deviating a ray of light through \( 90^{\circ} \)
c. obtaining the invented image without producing deviation in its path
D. all of these
| 3 |
Physics
|
Why skin feels dry in an air-conditioned
room?
A. Because the rate of evaporation decreases with lower humidity.
B. Because the rate of evaporation increases with lower humidity.
C. Because the rate of evaporation remains same with lower humidity.
D. Because the rate of evaporation increases with higher humidity.
| 3 |
Physics
|
Synthetic polymer among the following
is :
A. protein
B. plastic
c. starch
D. cellulose
E. nucleic acid
| 1 |
Chemistry
|
Write any four differences between
lyophilic sols and Iyophobic sols.
| 1 |
Chemistry
|
The escape velocity of a body from the
earth is \( u . \) What is the escape velocity from a planet whose mass and radius are twice those of the earth?
A \( .2 u \)
в. \( u \)
c. \( 4 u \)
D. \( 16 u \)
| 3 |
Physics
|
The wave number of the \( H_{\alpha} \) -line in
Balmer series of hydrogen spectrum is :
A . 5R / 36
в. зв
c. \( 21 \mathrm{R} / 100 \)
D. 3R / 4
| 1 |
Chemistry
|
\( M g(O H)_{2} \) in the form of milk of
magnesia is used to neutralize excess
stomach acid. How many moles of
stomach acid can be neutralized by 1 g
of \( M g(O H)_{2} ? \)
(Molar mass of \( \left.M g(O H)_{2}=58.33\right) \)
A . 0.017
B. 0.0343
c. 0.686
D. 1.25
| 1 |
Chemistry
|
State whether true or false.
Angle of incidence is always equal to the angle of reflection.
A. True
B. False
| 3 |
Physics
|
Find the equation of the tangent and the normal to the following curves at the indicated points.
\( \boldsymbol{y}=\boldsymbol{x}^{4}-\boldsymbol{6} \boldsymbol{x}^{3}+1 \mathbf{3} \boldsymbol{x}^{2}-\mathbf{1 0} \boldsymbol{x}+\mathbf{5} \) at \( \boldsymbol{x}= \)
\( \mathbf{1} \)
| 2 |
Maths
|
The total number of lone-pairs of
electrons in Melamine is:
| 1 |
Chemistry
|
Which of the following factors contribute towards higher stability of Iyophilic colloid?
A. Charge on their particles
B. Attractive forces between particles
c. Small size of their particles
D. High solvation due to a layer of dispersion medium
| 1 |
Chemistry
|
Which of the following is not a source of
carbon?
A. limestone
B. dolomite
c. calcite
D. haemetite
| 1 |
Chemistry
|
How many gram of \( K M n O_{4} \) is
contained in 4 litre of \( 0.05 N \) solution.
The \( K M n O_{4} \) is to used as an oxidant in
acid medium \( \left(M_{W}=158\right): \)
A. \( 1.58 g \)
B. \( 15.8 g \)
c. \( 6.32 g \)
D. \( 31.6 g \)
| 1 |
Chemistry
|
Consider the following data gathered from a survey of a colony:
Cricket \( \begin{array}{ll}\text { Favourate } & \text { cricket } \quad \text { Basket } \\ \text { port: }\end{array} \) sport:
1240 470 watching
Participating 620 320
Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph? Which sport is most popular?
| 2 |
Maths
|
The force of interaction (attraction or
repulsion) between two stationary point charges in vacuum is directly proportional to the product of the charges and inversely proportional to the square of distance between them.
This is called
A. Curie's Law
B. Coulomb's law
c. Faraday's Law
D. Amperr's Law
| 3 |
Physics
|
What are inner transition elements?
Decide which of the following atomic
numbers are the atomic numbers of the
inner transition elements :
\( \mathbf{2 9}, \mathbf{5 9}, \mathbf{7 4}, \mathbf{9 5}, \mathbf{1 0 2}, \mathbf{1 0 4} \)
| 1 |
Chemistry
|
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