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\( \boldsymbol{K}_{a 1}, \boldsymbol{K}_{a 2} \) and \( \boldsymbol{K}_{a 3} \) are the respective
ionisation constants for the following reactions;
\( \boldsymbol{H}_{2} \boldsymbol{S} \rightleftharpoons \boldsymbol{H}^{+} \boldsymbol{H} \boldsymbol{S}^{-} \)
\( \boldsymbol{H} \boldsymbol{S}^{-} \rightleftharpoons \boldsymbol{H}^{+} \boldsymbol{S}^{2-} \)
\( \boldsymbol{H}_{2} \boldsymbol{S} \rightleftharpoons \mathbf{2} \boldsymbol{H}^{+} \boldsymbol{S}^{2-} \)
The correct relationship between
\( \boldsymbol{K}_{a 1}, \boldsymbol{K}_{a 2} \) and \( \boldsymbol{K}_{a 3} \) is:
В. \( K_{a 3}=K_{a 1}+K_{a 2} \)
C \( . K_{a 3}=K_{a 1}-K_{a 2} \)
D. \( K_{a 3}=K_{a 1} / K_{a} \)
| 1 |
Chemistry
|
In the following, figure, seg DE II side BC
n \( \triangle A B C . \) If \( 3 A(\triangle A D E)= \)
\( A(D E C B), \) then find the ratio \( B C \)
\( D E ? \)
\( A \cdot 1: 2 \)
в. 16:
\( c \cdot 1: 16 \)
D.
| 2 |
Maths
|
Write the equation for the formation of ammonia by the action of water on magnesium nitride.
A \( \cdot 2 M g_{3} N_{2}+6 H_{2} O \rightarrow 2 N H_{3}+6 M g(O H)_{2} \)
В \( \cdot M g_{3} N_{2}+3 H_{2} O \rightarrow N H_{3}+3 M g(O H)_{2} \)
\( \mathrm{c} \cdot_{3 M g_{3} N_{2}+6 H_{2}} O \rightarrow 6 N H_{3}+3 M g(O H)_{2} \)
D. \( M g_{3} N_{2}+6 H_{2} O \rightarrow 2 N H_{3}+3 M g(O H)_{2} \)
| 1 |
Chemistry
|
Shaving cream produces foam. What kind of colloid is shaving cream?
A. Liquid dispersed in a gas
B. Gas dispersed in a liquid
c. solid dispersed in a liquid
D. solid dispersed in a gas
| 1 |
Chemistry
|
According to the ideal gas law, what is the approximately volume that will be occupied by 0.5 mole of an ideal gas at
\( 30^{\circ} \mathrm{C} \) and 3 atm pressure (gas constant
\( \boldsymbol{R}=\mathbf{0 . 0 8 2 1} \mathrm{L} \operatorname{atm} \mathrm{mol}^{-1} \mathrm{K}^{-1} \) )?
A. Less than 1 L
в. 5 L
\( c .10 L \)
D. 15 L
E. More than \( 20 L \)
| 1 |
Chemistry
|
Starting with 1- butyne, how could you make 3-hexanone?
| 1 |
Chemistry
|
No two equipotential surface intersect each other ?why?
| 3 |
Physics
|
The radius of sphere is measured to be
\( (2.1 \pm 0.5) \mathrm{cm} \)
Calculate its surface area with error
limits.
\( \mathbf{A} \cdot S=(55.4 \pm 26.4) \mathrm{cm}^{2} \)
B . \( S=(55.4 \pm 26.4) \mathrm{mm}^{2} \)
\( \mathbf{c} \cdot S=(55.4 \pm 13.2) \mathrm{cm}^{2} \)
D. None of these
| 3 |
Physics
|
The concentration of \( N H_{3} \) solution
whose one litre can dissolve 0.10 mole
AgCl is:
\( \left[\boldsymbol{K}_{s p} \text { of } \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \text { and } \boldsymbol{K}_{\boldsymbol{f}} \text { of } \boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}^{+}\right. \)
\( \operatorname{are} 10^{-10} M^{2} \) and \( 1.6 \times 10^{7} M^{-2} \)
respectively].
\( \mathbf{A} \cdot 2.5 M \)
B. \( 3.0 M \)
c. \( 2.8 M \)
D. none of these
| 1 |
Chemistry
|
The S.I. unit of specific heat capacity is
A. \( J k g^{-1} K^{-1} \)
в. \( J m o l^{-1} K^{-1} \)
c. \( J k g^{-1} \)
D. \( J K^{-1} \)
| 3 |
Physics
|
Fill in the blanks:
When light falls on the junction of a photo diode, the number of charge carriers and hence the
conductivity of the junction
A. increases, decreases
B. decreases, increases
c. decreases, decreases
D. increases, increases
| 3 |
Physics
|
When a bar magnet is broken into two pieces:
A. we will have a single pole on each piece
B. each piece will have two unlike poles
c. each piece will have two like poles
D. none of these
| 3 |
Physics
|
Assertion
The variance of the series \( \boldsymbol{a}, \boldsymbol{a}+\boldsymbol{d}, \boldsymbol{a}+ \)
\( \mathbf{2} \boldsymbol{d}, \boldsymbol{a}+\mathbf{3} \boldsymbol{d}, \ldots \boldsymbol{a}+\boldsymbol{2 n d} \) is \( \frac{\boldsymbol{n}(\boldsymbol{n}+\mathbf{1})}{\mathbf{3}} \boldsymbol{d}^{2} \)
Reason
The sum and the sum of squares of first
\( n \) natural numbers \( \frac{n(n+1)}{2} \) and \( \frac{n(n+1)(2 n+1)}{6} \) respectively
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
| 2 |
Maths
|
Which of the following instruments is used to check whether electricity is flowing through a substance or not?
A. Ammeter
B. Voltmeter
c. Tester
D. None of these
| 3 |
Physics
|
The binary compounds of metallic or non-metallic elements with oxygen are called
A . oxoacid
B. oxide
\( c \cdot \) oxo
D. none of these
| 1 |
Chemistry
|
Find the derivative of \( f(\log x) \) with
respect to \( x \) where \( f(x)=\log x \)
| 2 |
Maths
|
Find the equivalent resistance across
\( A B \) for the given circuit:
A . \( 1 \Omega \)
B. \( 2 \Omega \)
\( c .3 \Omega \)
D. \( 4 \Omega \)
| 3 |
Physics
|
A potentiometer wire of length \( 1.0 \mathrm{m} \) has a resistance of \( 15 \Omega \). It is connected to a
\( 5 V \) battery in series with a resistance of
5 \Omega. Determine the emf of the primary cell which gives a balance point at 60
\( \mathrm{cm} \)
| 3 |
Physics
|
Which is not true about \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \) ?
A . It is tribasic acid
B. one mol is neutralised by 0.5 mol \( C a(O H) \) )
c. \( N a H_{2} P O_{2} \) is normal salt
D. It disproportionates to \( H_{3} P O_{3} \) and \( P H_{3} \) on heating
| 1 |
Chemistry
|
A liter of air at \( 20^{\circ} \mathrm{C} \) is heated until both
the pressure and the volume are tripled, what is the tempertare then.
В . \( 927^{\circ} \) К
\( \mathbf{c} \cdot 200^{\circ} K \)
D. \( 977^{\circ} K \)
| 3 |
Physics
|
The D.E of the family of parabolas with vertex at (0,-1) and having axis along the y axis is
A. \( x y^{1}-2 y-2=0 \)
В. \( x y^{1}+y+1=0 \)
c. \( x y^{1}-y-1=0 \)
D. \( x y^{1}+2 x y+1=0 \)
| 2 |
Maths
|
Phototropism is because of unequal distribution of auxin under the
influence of unilateral (one sided)
¡Illumination as auxin
A. Moves from illuminated side to shaded side
B. Synthesis is checked on illuminated side
c. Destroyed on illuminated and not on shaded side
D. All of the above
| 0 |
Biology
|
Assertion (A): According to Newton's third law sum of action and reaction is
not equal to zero Reason (R) : The forces
action and reaction acts on different
bodies.
A. A and R are correct and R is the correct
explanation of
B. A and R are correct and R is not the correct
explanation A
c. \( A \) is true and \( R \) is false
D. A is false and R is true
| 3 |
Physics
|
Scale less fish is
A. Torpedo
B. Catfish
\( c . \) Both A and B
D. Raja
| 0 |
Biology
|
If \( A \) is a square matrix of order 3 with
\( |A|=4, \) then write the value of \( |-2 A| \)
| 2 |
Maths
|
A body of mass \( 10 k g \) at rest is acted upon simultaneously by two forces \( 4 N \)
and \( 3 N \) at right angles to each other.
The kinetic energy of the body at the end
of \( 10 s \) is
\begin{tabular}{l}
A. \( 50 \mathrm{J} \) \\
\hline
\end{tabular}
в. \( 100 J \)
c. \( 125 J \)
D. \( 144 J \)
| 3 |
Physics
|
What are amines?
| 1 |
Chemistry
|
If volume of cube is \( 64 \mathrm{cm}^{3} \), find its
surface area.
| 2 |
Maths
|
The value of \( \sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}} \)
is:
A . 4
B. 6
\( c \cdot 8 \)
D. 10
| 2 |
Maths
|
The range of \( y=\sin 3 x+\sin x \) is-
A \( \cdot\left[\frac{-8}{3 \sqrt{3}}, \frac{8}{3 \sqrt{3}},\right] \)
в. \( \left[\frac{-4}{3 \sqrt{3}}, \frac{4}{\sqrt[3]{3}}\right] \)
c. \( \left[\frac{-3}{\sqrt{2}}, \frac{3}{\sqrt{2}},\right] \)
D. \( \left[\frac{-3}{3 \sqrt{2}}, \frac{3}{2 \sqrt{2}},\right] \)
| 2 |
Maths
|
What is the electronic configuration of elements of \( I I I \) rd group
A \( \cdot 1 s^{2}, 2 s^{2} 2 p s^{3} \)
В \( \cdot 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{2} 3 p^{1} \)
C \( \cdot 1 s^{2}, 2 s^{2} 2 p^{6} \)
D. \( 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{1} \)
| 1 |
Chemistry
|
If \( a, b, c \) are distincts \( \& w(\neq 1) \) is a cube of unity then minimum value of
\( \boldsymbol{x}=\left|\boldsymbol{a}+\boldsymbol{b} \boldsymbol{w}+\boldsymbol{c} \boldsymbol{w}^{2}\right|+\left|\boldsymbol{a}+\boldsymbol{b} \boldsymbol{w}^{2}+\boldsymbol{c} \boldsymbol{w}\right| \)
A \( \cdot 2 \sqrt{3} \)
B. 3
\( c \cdot 4 \sqrt{2} \)
D.
| 2 |
Maths
|
If \( x_{0} \) is the \( x \) -coordinate of the point of
inflection of curve \( y=f(x) \) then
(assume second derivative exists)
A \( \cdot f\left(x_{0}\right) \neq 0 \)
В \( \cdot f\left(x_{0}\right)=0 \)
C \( \cdot f^{\prime \prime}\left(x_{0}\right)=0 \)
D. \( f^{\prime \prime}\left(x_{0}\right) \neq 0 \)
| 2 |
Maths
|
Differentiate the following from first principle. \( f(x)=\cos \left(x-\frac{\pi}{8}\right) \)
| 2 |
Maths
|
1 g of helium gas is confined in a two
litre flask under a pressure of 2.05 atm.
What is its temperature?
| 1 |
Chemistry
|
Evaluate \( \int \frac{x^{5} d x}{\sqrt{\left(1+x^{3}\right)}}= \)
A. \( \frac{2}{3} \sqrt{\left(1+x^{3}\right)+\left(x^{2}+2\right)} \)
B. \( \frac{2}{9} \sqrt{\left(1+x^{3}\right)-\left(x^{3}-4\right)} \)
c. \( \frac{2}{9} \sqrt{\left(1+x^{3}\right)\left(x^{3}+4\right)} \)
D. \( \frac{2}{3} \sqrt{\frac{\left(1+x^{3}\right)^{3}}{3}-\left(1+x^{3}\right)} \)
| 2 |
Maths
|
Integrate the function \( e^{x}(\sin x+ \)
\( \cos x \)
| 2 |
Maths
|
Complete the missing components/variables given as \( x \) and \( y \) in the following reactions.
\( P b\left(N O_{3}\right)_{2}(a q)+2 K I(a q) \rightarrow \)
\( \boldsymbol{P b I}_{2}(\boldsymbol{x})+\boldsymbol{2} \boldsymbol{K} \boldsymbol{O}_{3}(\boldsymbol{y}) \)
A \( . x \rightarrow s ; y \rightarrow g \)
в. \( x \rightarrow s ; y \rightarrow a q \)
c. \( x \rightarrow a q ; y \rightarrow g \)
D. None of these
| 1 |
Chemistry
|
Predict the product (T) for the following
reaction sequence. \( \boldsymbol{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{C H}=\boldsymbol{O} \stackrel{\boldsymbol{K C N} / \boldsymbol{O H}^{-}}{\longrightarrow} \)
\( \boldsymbol{R} \frac{\boldsymbol{C r} \boldsymbol{O}_{2} / \boldsymbol{H}^{\oplus}}{\longrightarrow} \boldsymbol{S} \frac{(i) \operatorname{conc} K \boldsymbol{O} \boldsymbol{H}}{(i i) \text { Acidification }} \boldsymbol{T} \)
A. cinnamic acid
B. Mandelic acid
c. Benzilic acid
D. Benzoic acid \& Benzyl alcohol
| 1 |
Chemistry
|
If \( l \| \boldsymbol{m} \) and \( \boldsymbol{m} \| \boldsymbol{n} \) then:
A . \( l \| \)
в. \( l \| \)
c. \( m \| \) n
D. \( l \| n \)
| 2 |
Maths
|
Area of the field is
\( \mathbf{A} \cdot a^{2} \sin \alpha \cos \alpha+c^{2} \sin \beta \cos \beta+e^{2} \sin \gamma \cos \gamma \)
B. \( (a \cos \alpha+c \cos \beta+d+e \cos \gamma)(a \sin \alpha+b+c \sin \beta+ \)
\( e \sin \gamma) \)
C \( \cdot a^{2}+b^{2}+c^{2}+d^{2}+e^{2} \)
D. none of these
| 2 |
Maths
|
Consider elastic collision of a particle of mass \( m \) moving with a velocity \( u \) with
another particle of the same mass at rest. After the collision the projectile and the stuck particle move in
directions making angles \( \theta_{1} \) and \( \theta_{2} \)
respectively with the initial direction
of motion. The sum of the angles \( \boldsymbol{\theta}_{1}+\boldsymbol{\theta}_{2} \)
is
| 3 |
Physics
|
What is the degree of the differential quation \( \left(\frac{d^{3} y}{d x^{3}}\right)^{3 / 2}=\left(\frac{d^{2} y}{d x^{2}}\right)^{2} ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c \cdot 3 \)
\( D \)
| 2 |
Maths
|
If coefficient of variation is 60 and
standard deviation is \( 24, \) then
Arithmetic mean is
A . 40
B. \( \frac{1}{40} \)
c. \( \frac{7}{20} \)
D. \( \frac{20}{7} \)
| 2 |
Maths
|
Construct a triangle \( A B C \), in which
\( A B=5.5 c m, A C=6.5 c m \) and
\( \angle B A C=70^{\circ} \)
Steps for its construction is given in a jumbled form.Identify its correct
sequence
1) At \( A, \) construct a line segment \( A E \)
sufficiently large, such that \( \angle B A C \) at
\( 70^{\circ}, \) use protractor to measure \( 70^{\circ} \)
2) Draw a line segment which is sufficiently long using ruler.
3) With \( A \) as centre and radius \( 6.5 \mathrm{cm} \)
draw the line cutting \( A E \) at \( C \), join \( B C \),
then \( A B C \) is the required triangle.
4) Locate points \( A \) and \( B \) on it such that
\( A B=5.5 c m \)
A. 2,4,1,3
B. 2,1,4,3
c. 1,2,4,3
D. 4,2,1,3
| 2 |
Maths
|
\( A t 817^{\circ} C, K_{p} \) is 10 atm for the reaction
between pure \( C O_{2} \) and excess hot graphite to form \( 2 \mathrm{CO}(\mathrm{g}) \) Then at what total pressure will the gas
mixture analyze \( 6 \%, C O_{2} \) by volume?
A \( \cdot P_{\text {Total }}=0.34 a t m \)
B. \( P_{\text {Total}}=0.68 a t m \)
C \( . P_{\text {Total}}=1.3 a t m \)
D. None of these
| 1 |
Chemistry
|
Thecost of 3 televisions and \( 2 V . C . R . s \) is
Rs. 35,000 . The shop-keeper wants profit
of \( R s .1,000 . \) per television and \( R s .500 \)
per \( V . C . R . \) He can sell 2 televisions and
\( 1 V . C . R \) and he gets the total revenue as
Rs. 21,500 . Find the cost and the selling
price of a television and a \( V . C . R \)
| 2 |
Maths
|
f two equal chords of a circle intersect
within the circle, prove that the line
joining the point of intersection to the centre makes equal angles with the
chords.
| 2 |
Maths
|
The polysaccharide among the following
is :
This question has multiple correct options
A. Glucose
B. Cellulose
c. starch
D. sucrose
| 1 |
Chemistry
|
(R)-2-Chlorobutane is represented by:
\( A \)
B. I
\( c \)
\( D \cdot|v| \)
| 1 |
Chemistry
|
Zeroth law of thermodynamics gives the
concept of
A. Pressure
B. Volume
c. Temperature
D. Heat
| 3 |
Physics
|
The hollow sphere, in which the circus motorcyclist performs his stunts, has diameter of 7 m. Find the area available
to motorcyclist for riding.
A \( .154 \mathrm{m}^{2} \)
B. \( 144 \mathrm{m}^{2} \)
c. \( 38.5 \mathrm{m}^{2} \)
D. \( 176 m^{2} \)
| 2 |
Maths
|
is known as heavy hydrogen.
A. Protium
B. Deuterium
c. Tritium
D. Proton
| 1 |
Chemistry
|
Evaluate: \( \int_{0}^{\pi / 2} \cos ^{2} x d x \)
| 2 |
Maths
|
buy 40 animals consisting of rams at 4
pounds, pigs at 2 pounds, and oxen at
17 pounds. if I spend 301 pounds, how many of each do I buy?
| 2 |
Maths
|
A piston cylinder device initially contains \( 0.2 m^{3} \) neon (assume ideal) at
\( 200 \mathrm{kPa} \) inside at \( T_{1}^{0} C . A \) value is now
opened and neon is allowed to escape until the volume reduces to half the
initial volume. At the same time heat
transfer with outside at \( T_{2}^{0} C \) ensures a constant temperature inside. Select the statement(s) for given process:
A. \( \Delta U \) must be zero
B. \( \Delta U \) may not be zero
c. \( q \) may be \( + \) ve
D. q may not be -ve
| 1 |
Chemistry
|
Hydrolysis of which of the following does
not occur?
A \( \cdot V C l_{4} \)
в. \( T i C l_{4} \)
\( \mathrm{c} \cdot \operatorname{siCl}_{4} \)
D. \( C C l_{4} \)
| 1 |
Chemistry
|
Find derivative of \( f(x) \)
\( f(x)=x \sin x \)
| 2 |
Maths
|
The correct pair is
A. RNA: thymine
B. DNA: uracil
C . RNA: replication
D. mRNA: picks up amino acids
E . RNA: ribose sugars
| 0 |
Biology
|
Mark the following statements as true
(T) or false (F):
(a) Pole Star is a member of the solar
system.
(b) Mercury is the smallest planet of the solar system.
(1)
(c) Uranus if the farthest planet in the solar system.
()
(d) INSAT is an artificial satellite.
(1)
(e) There are nine planets in the solar
system.
()
(f) Constellation Orion can be seen only with a telescope.
| 3 |
Physics
|
The inverse of "If two angles are
congruent, then they have the same measure" is
A. If two angles have the same measure, then they are congruent
B. If two angles are not congruent, then they do not have the same measure
C. If two angles do not have the same measure, then they are not congruent
D. None of these
| 2 |
Maths
|
ATP synthesis in cell requires
\( \mathbf{A} \cdot H^{+} \) gradient across the membrane
B. \( K^{+} \) gradient across the membrane
C \( \cdot P O_{4}^{3-} \) gradient across the membrane
D. \( C a^{2+} \) gradient across the membrane
| 0 |
Biology
|
By which optical phenomena the splitting of white light into seven
constituent colours occur?
A. Refraction
B. Dispersion
c. Reflection
D. Interference
| 3 |
Physics
|
If the perpendicular distance of a point \( P \) from the \( x \) -axis is 5 units and the foot
of the perpendicular lines on the negative direction of \( x \) -axis, then the
point P has?
A. \( x \) coordinate \( =5 \)
B. \( y \) coordinate \( =5 \) only
c. \( y \) coordinate \( =-5 \) only
D. \( y \) coordinate \( =5 \) or -5
| 2 |
Maths
|
Which one is an epiphyte?
A. Cuscuta
B. Orchid
c. Drosera
D. corypha
| 0 |
Biology
|
The incorrect statement about
deuterium is:
\( A \cdot \) it is an isotope of hydrogen
B \( \cdot \) it contains \( \left[\left(1 e^{-}\right)+\left(1 p^{+}\right)+(1(n)]\right. \)
C \cdot it contains \( \left[\left(1 p^{+}\right)+(1(n)]\right. \)
D. \( D_{2} O \) is called heavy water
| 1 |
Chemistry
|
Which gland is concerned with salt equilibrium in body?
A. Anterior Pituitary
B. Pancreas
c. Adrenal
D. Thyroid
| 0 |
Biology
|
When the earth completes one revolution around the sun, the
displacement of the earth is zero. True
or false.
A. True
B. False
| 3 |
Physics
|
A sphere of mass \( m_{1}=2 k g \) collides
with a sphere of mass \( m_{2}=3 k g \) which
is at rest. Mass \( m_{1} \) will move at right angles to the line,joining centres at the time of collision, if the coefficient of
restitution is :
\( A \cdot 4 / 9 \)
в. \( 1 / 2 \)
\( c \cdot \frac{2}{3} \)
D. \( \sqrt{2 / 3} \)
| 3 |
Physics
|
Assertion
The sensitivity of a moving coil galvanometer is increased by placing a
suitable magnetic material as a core
inside the coil.
Reason
Soft iron has a high magnetic
permeability and cannot be easily magnetized or demagnetized.
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
|
Let \( f \) be a function such that \( f(3)=1 \)
and \( f(3 x)=x+f(3 x-3) \) for all \( x \)
Then find the value of \( \boldsymbol{f}(\boldsymbol{3 0 0}) \)
A . 5500
B. 10100
\( c .5050 \)
D. 1,71,700
| 2 |
Maths
|
Multiply:
\( (a b+b c+c a) \) by \( (a b-b c-c a) \)
| 2 |
Maths
|
Consider a light source placed at a
distance of \( 1.5 m \) along the axis facing the convex side of a spherical mirror of
radius of curvature 1 m. The position \( \left(s^{\prime}\right. \)
nature and magnification \( (m) \) of the image are
A \( \cdot s^{\prime}=0.375 m, \) Virtual, upright, \( m=0.25 \)
B . \( s^{\prime}=0.375 m \), Real, inverted, \( m=0.25 \)
C . \( s^{\prime}=3.75 m, \) Virtual, upright, \( m=2.5 \)
D. \( s^{\prime}=3.75 m \), Real, upright, \( m=2.5 \)
| 3 |
Physics
|
List two reasons for the appearance of
variations among the progeny formed by sexual reproduction
| 0 |
Biology
|
Which lens are used to correct myopia or short sightedness?
A. Convex lens
B. Concave lens
c. Bipolar lens
D. Cylindrical lens
| 3 |
Physics
|
The total spin and paramagnetism
(B.M.) of ferrocyanide ion are respectively:
\( A \cdot 0,2 \sqrt{6} \)
B . \( 5 / 2, \sqrt{35} \)
\( c \cdot 4, \sqrt{24} \)
D. \( 1,2 \sqrt{2} \)
| 1 |
Chemistry
|
\( \mathbf{1}-\mathbf{1}+\mathbf{1}-\mathbf{1}+\mathbf{1}-\mathbf{1}+ \)
\( \dots \dots \dots(\mathbf{1} \mathbf{0} \mathbf{1} t i m e s)= \)
| 2 |
Maths
|
ff \( f(x)=\left\{\begin{array}{lll}\frac{e^{3 x}-1}{4 x} & \text { for } & x \neq 0 \\ \frac{k+x}{4} & \text { for } & x=0\end{array}\right. \)
continuous at \( x=0, \) then \( k= \)
\( A \cdot \)
B. 3
\( c \cdot 2 \)
\( D \)
| 2 |
Maths
|
Which of the following is(are) example(s) of Sandmeyer reaction? This question has multiple correct options
A \( \cdot C_{6} H_{5} N_{2}^{+} C l^{-} \rightarrow C_{6} H_{5} C l \)
в. \( C_{6} H_{5} N_{2}^{+} C l^{-} \rightarrow C_{6} H_{5} O H \)
c. \( C_{6} H_{5} N_{2}^{+} C l^{-} \rightarrow C_{6} H_{5} C N \)
D. \( C_{6} H_{5} N_{2}^{+} I^{-} \rightarrow C_{6} H_{5} I \)
| 1 |
Chemistry
|
Evaluate: \( \int\left(3 x^{2}-5\right)^{2} d x \)
| 2 |
Maths
|
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{\cos \boldsymbol{x}-\sin \boldsymbol{x}}= \)
A. \( \frac{1}{\sqrt{2}} \log \left|\tan \left(\frac{x}{2}-\frac{\pi}{8}\right)\right|+c \)
в. \( \frac{1}{\sqrt{2}} \log \left|\tan \left(\frac{x}{2}+\frac{3 \pi}{8}\right)\right|+c \)
c. \( \frac{1}{\sqrt{2}} \log \left|\tan \left(\frac{x}{2}-\frac{3 \pi}{8}\right)\right|+c \)
D. \( \frac{1}{\sqrt{2}} \log \left|\cot \left(\frac{x}{2}\right)\right|+c \)
| 2 |
Maths
|
In urinary system, aldosterone takes part in retention (reabsorption) of
A . \( K^{+} \)
в. \( N a^{\text {t }} \)
c. water
D. both (b) and (c)
| 0 |
Biology
|
A solution of \( 8 \% \) boric acid is to be
diluted by adding a \( 2 \% \) boric acid solution to it. The resulting mixture is to be more than \( 4 \% \) but less than \( 6 \% \)
boric acid. If we have 640 litres of the
\( 8 \% \) solution, how many litres of the \( 2 \% \) solution will have to be added?
| 2 |
Maths
|
The maximum kinetic energy of
photoelectrons
A. depends on collector plate
B. is independent of emitter plate material
C. is independent of frequency of incident radiation
D. depends on the frequency of light source and the nature of emitter plate material
E. depends on intensity of incident radiation
| 3 |
Physics
|
What is calorific value?
A. Amount of heat energy produced on complete combustion of 1 Kg of fuel.
B. Amount of heat energy produced on complete combustion of \( 100 \mathrm{Kg} \) of fuel.
C. Amount of heat energy produced on complete combustion of 1 g of fuel.
D. Amount of heat energy lost on complete combustion of \( 1 \mathrm{Kg} \) of fuel.
| 1 |
Chemistry
|
(a) Complete the following equations:
(i) \( C r_{2} O_{7}^{2-}+2 O H^{-} \rightarrow \)
\( M n O_{4}^{-}+4 H^{+}+3 e^{-} \rightarrow \)
(b) Account for the following:
(i) \( Z n \) is not considered as a transition
element.
(ii) Transition metals form a larger number of complexes.
(iii) The \( E^{0} \) value for the \( M n^{3+} / M n^{2+} \)
couple is much more positive than that for \( \boldsymbol{C r}^{3+} / \boldsymbol{C r}^{2+} \) couple.
| 1 |
Chemistry
|
If an electron describes half a revolution
in a circle of radius \( r \) in a magnetic field
B, the energy acquired by it is
A. zero
B. \( \frac{1}{2} m v^{2} \)
c. \( \frac{1}{4} m v^{2} \)
\( \mathbf{D} \cdot \mu_{r} \times B e v \)
| 3 |
Physics
|
What is refraction of light?
| 3 |
Physics
|
Golgi apparatus is specialized for all the following except:
A. Glycosylation of proteins
B. Secretion
c. Intracellular digestion
D. Formation of acrosome
| 0 |
Biology
|
Sulphuric acid is \( 95.8 \% \) by mass.
Calculate mole fraction of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) of
density \( 1.91 \mathrm{cm}^{-3} .(H=1, S= \)
\( \mathbf{3 2}, \boldsymbol{O}=\mathbf{1 6}) \)
A . 0.8950
B. 0.2982
c. 0.2056
D. 0.8075
| 1 |
Chemistry
|
A neutron, with kinetic energy KE and moving with velocity \( v, \) collides head on
with a nucleus of mass number \( \boldsymbol{A} \)
perfectly elastically. The fraction of total
energy possessed by the neutron transferred to nucleus is
A \( \cdot \frac{4 A}{(A+1)^{2}} \)
\( ^{\mathrm{B}}\left(\frac{A-1}{A+1}\right)^{2} \)
\( \left(\frac{A+1}{2 A}\right)^{2} \)
\( \left(\frac{A-1}{2 A}\right)^{2} \)
| 3 |
Physics
|
If a car is travelling westwards with a constant speed of \( 20 m / s, \) what is the
resultant force acting on it?
\( A \)
B.
\( c \cdot 2 \)
D. 3
| 3 |
Physics
|
The additive identify of rational number
is
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot-1 \)
\( D \)
| 2 |
Maths
|
Sodium alkyl benzene sulphonate is
used as:
A. Soap
B. Fertilizer
c. Detergent
D. Pesticide
| 1 |
Chemistry
|
\( O_{3} \) in ozone layer is formed by action of
A. IR radiation
B. Blue radiation
c. uv radiation
D. Other radiations
| 0 |
Biology
|
Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the Probability that both are king.
| 2 |
Maths
|
If \( 8 \tan A=15, \) then the value of \( \frac{\sin A-\cos A}{\sin A+\cos A} \) is:
A \( \cdot \frac{7}{23} \)
в. \( \frac{11}{23} \)
c. \( \frac{13}{23} \)
D. \( \frac{17}{23} \)
| 2 |
Maths
|
Which of the following equations represents a particle performing simple harmonic motion
A \( \cdot x=3 \)
B. \( x=4 \sin 2 t \)
\( c \cdot x=1 / t \)
D. \( x=3 \log 2 t \)
| 3 |
Physics
|
Name the types of isomerism shown by the following pairs of compounds:
(i) \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]\left[\boldsymbol{P t} \boldsymbol{C l}_{4}\right] \) and
\( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]\left[\boldsymbol{C u} \boldsymbol{C l}_{4}\right] \)
(ii) \( \left[\boldsymbol{C o}(\boldsymbol{P n})_{2} \boldsymbol{C l}_{2}\right]^{+} \) and \( \left[\boldsymbol{C o}(\boldsymbol{t n})_{2} \boldsymbol{C l}_{2}\right]^{+} \)
| 1 |
Chemistry
|
If \( \boldsymbol{\alpha} \leq 2 \sin ^{-1} \boldsymbol{x}+\cos ^{-1} \boldsymbol{x} \leq \boldsymbol{\beta}, \) then
A \( \cdot \alpha=\frac{\pi}{2}, \beta=\frac{\pi}{2} \)
B. \( \quad \alpha=\frac{\pi}{2}, \beta=\frac{3 \pi}{2} \)
c. \( \alpha=0, \beta=\pi \)
| 2 |
Maths
|
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